diff --git a/experiments/deepseek/README.md b/experiments/deepseek/README.md index ef1c967..140a86d 100644 --- a/experiments/deepseek/README.md +++ b/experiments/deepseek/README.md @@ -853,3 +853,135 @@ See `research/DEEPSEEK_V2_LITE_CHAT_CROSS_SOURCE_SAMPLING_PROTOCOL.md` and `research/DEEPSEEK_V2_LITE_CHAT_CROSS_SOURCE_SAMPLING_AUDIT.md` for the preregistered source frame, task matrices, source-direction contrasts, failure identities, hash chain, exact replay scope, and non-claims. + +## Selected-task bootstrap with explicit common random numbers + +`v2_lite_chat_task_bootstrap_crn_probe.py` expands the task frame to all 32 +frozen HumanEval and 32 frozen GSM8K sources. The primary analysis runs one +preregistered tape T0 on every task. Four tasks per domain additionally run +T1-T3 as a crossed tape-sensitivity diagnostic: + +```text +64 tasks × T0 × 4 conditions = 256 outputs +8 diagnostic tasks × 3 additional tapes × 4 conditions = 96 outputs +formal total = 352 outputs +``` + +Unlike the preceding batch-seed-aligned studies, Round 08 constructs a true +step-index common-random-number tape. The same SHA-256-derived `u_t` is +mapped through each condition's official `.3/.95` temperature/top-p +distribution using a float32 token-ID-ordered inverse CDF. It does not call +`transformers.generate` or `torch.multinomial`. + +The frozen manifest and all 256 Chat prompt hashes must be built before any +model outputs: + +```bash +node scripts/build-deepseek-chat-task-bootstrap-manifest.mjs \ + --reference \ + src/data/deepseek-v2-lite-routing-special-token-family-control.json \ + --output \ + research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_MANIFEST.json + +PYTHONPATH=/path/to/transformers-4.41.2-deps \ +python -B scripts/freeze-deepseek-chat-task-bootstrap-prompts.py \ + --artifact-dir /path/to/deepseek-v2-lite-chat \ + --manifest \ + research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_MANIFEST.json \ + --reference-routing-json \ + src/data/deepseek-v2-lite-routing-special-token-family-control.json \ + --human-eval /path/to/HumanEval.jsonl.gz \ + --gsm8k /path/to/gsm8k/test.jsonl \ + --tnews /path/to/tnews/test.json \ + --tnews-archive /path/to/tnews_public.zip \ + --wikitext /path/to/wikitext-validation.parquet +``` + +The formal runner writes one hash-checked journal per source and supports +`--resume`: + +```bash +PYTORCH_CUDA_ALLOC_CONF=expandable_segments:True \ +PYTHONPATH=/path/to/transformers-4.41.2-deps:experiments/deepseek \ +python -B \ + experiments/deepseek/v2_lite_chat_task_bootstrap_crn_probe.py \ + --execution-mode formal \ + --artifact-dir /path/to/deepseek-v2-lite-chat \ + --manifest \ + research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_MANIFEST.json \ + --reference-routing-json \ + src/data/deepseek-v2-lite-routing-special-token-family-control.json \ + --human-eval /path/to/HumanEval.jsonl.gz \ + --gsm8k /path/to/gsm8k/test.jsonl \ + --tnews /path/to/tnews/test.json \ + --tnews-archive /path/to/tnews_public.zip \ + --wikitext /path/to/wikitext-validation.parquet \ + --journal-dir /path/to/formal-journal \ + --resume \ + --output \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn.json +``` + +Evaluation keeps T0 primary rows separate from T1-T3 diagnostics: + +```bash +PYTHONPATH=experiments/deepseek \ +python -B \ + experiments/deepseek/v2_lite_chat_task_bootstrap_crn_evaluator.py \ + --sampling-json \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn.json \ + --human-eval /path/to/HumanEval.jsonl.gz \ + --gsm8k /path/to/gsm8k/test.jsonl \ + --sandbox-image \ + python:3.11-alpine@sha256:25976e9d34a0fab1f278cae931f34c8303d97bf0c0d7f85b6b4dcf641d7702a4 \ + --output \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn-eval.json +``` + +The analysis resamples the 32 selected tasks 10,000 times within each domain +while preserving condition pairing. These are selected-task resampling +bands under T0, not benchmark-population or generation-seed confidence +intervals: + +```bash +python -B \ + experiments/deepseek/v2_lite_chat_task_bootstrap_crn_analysis.py \ + --sampling-json \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn.json \ + --evaluation-json \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn-eval.json \ + --reproduction-json \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn-reproduction.json \ + --output \ + src/data/deepseek-v2-lite-chat-task-bootstrap-crn-analysis.json +``` + +The formal grid contains 343/352 natural EOS outputs and 320 unique complete +trajectories. T0 correctness totals are Code 59/128 and Math 71/128 across +32 tasks × four prompt conditions; they are not standard benchmark scores. +All correctness contrast bands cross zero. The clearest length interaction +is system-on minus system-off under the period boundary: Code is -130.875 +tokens with band [-178.688, -83.218], while Math is +25.125 with band +[7.874, 44.531]. The preregistered 64-cell cross-process replay is exact in +all twelve audited fields. + +```text +formal ea0607f2b197fac3f794655c1538ce1f9a1cb072d637eb31d35573682e311809 +eval 82b2fc5d1f854a7e0cd7aba7c70ff74d733d24221522a4f92b962478c76177ab +replay 6519947e2fa4327c1ba2cc506b0861f172a6bdbd4f2d6787447edaf8fbcac508 +compare 63ed39e5dcdbc2a30e516172f3657dfa453ff3b23d5bd5c49c734939242a70f5 +analysis 9ab17561ced930a668c082141f7c6e013cbda70e42b09de63d41f1b82c01a6ae +compact 082e3c56373e5f91d51d88b1430d14ad3b68b0f200e80901171c2fb62a1e57bf +``` + +Run the complete offline hash and invariant audit with: + +```bash +node scripts/check-deepseek-chat-task-bootstrap-crn-data.mjs +``` + +See `research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_PROTOCOL.md` and +`research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_CRN_AUDIT.md` for the +pre-output corrections, explicit sampler, task bootstrap, transition tables, +multi-tape matrices, exact replay, reported gold-loading process deviation, +and claim boundaries. diff --git a/package.json b/package.json index 010ede7..f6cd0cc 100644 --- a/package.json +++ b/package.json @@ -17,6 +17,8 @@ "build:data:deepseek-chat-completion-depth": "node scripts/build-deepseek-chat-completion-depth-compact.mjs", "build:data:deepseek-chat-sampling": "node scripts/build-deepseek-chat-sampling-compact.mjs", "build:data:deepseek-chat-cross-source-sampling": "node scripts/build-deepseek-chat-cross-source-sampling-compact.mjs", + "build:data:deepseek-chat-task-bootstrap": "node scripts/build-deepseek-chat-task-bootstrap-crn-compact.mjs", + "check:data:deepseek-chat-task-bootstrap": "node scripts/check-deepseek-chat-task-bootstrap-crn-data.mjs", "check:site": "node scripts/check-site.mjs", "check:moe-browser": "node scripts/check-moe-browser.mjs", "check:reasoning-browser": "node scripts/check-reasoning-browser.mjs", diff --git a/research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_CRN_AUDIT.md b/research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_CRN_AUDIT.md new file mode 100644 index 0000000..89184af --- /dev/null +++ b/research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_CRN_AUDIT.md @@ -0,0 +1,786 @@ +# DeepSeek-V2-Lite-Chat:32 题任务 bootstrap 与显式共同随机数审计 + +> 协议:`llm-atlas-deepseek-chat-task-bootstrap-crn-v1` +> +> 模型:`deepseek-ai/DeepSeek-V2-Lite-Chat` +> +> revision:`85864749cd611b4353ce1decdb286193298f64c7` +> +> 预注册协议: +> `research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_PROTOCOL.md` +> +> 冻结清单: +> `research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_MANIFEST.json` +> +> 执行日期:2026-07-30 + +## 0. 先说结论 + +Round 08 把 Round 07 的“每域 4 道题 × 4 seeds”扩成: + +```text +主分析: + HumanEval 32 题 × T0 × 4 conditions = 128 outputs + GSM8K 32 题 × T0 × 4 conditions = 128 outputs + +随机带敏感性: + 每域 4 道固定题 × T0–T3 × 4 conditions + 其中 T1–T3 新增 96 outputs + +正式总计: + 64 tasks × 4 conditions on T0 + + 8 diagnostic tasks × 3 extra tapes × 4 conditions + = 352 outputs +``` + +四个条件不再只是“同 seed 对齐”,而是在同一道题、同一随机带、同一个生成步显式读取 +完全相同的均匀数 `u_t`。`.3/.95` 的温度和 nucleus 分布来自固定 checkpoint 与 +Transformers warper,离散取样则由本协议定义的 token-ID 顺序逆 CDF 完成。 + +最稳的观察不是 correctness,而是**输出长度具有明显的 domain × prompt 条件交互**: + +- Code:在 period 边界下,打开 system 后平均缩短 `130.875` tokens;当前 32 题、T0 + selected-task resampling band 为 `[-178.688, -83.218]`; +- Math:同一对比反而平均延长 `25.125` tokens;对应 band 为 + `[7.874, 44.531]`; +- EOS 边界下的 system 长度差在两个 domain 都没有得到同样清楚的非零带; +- 所有四个预注册 correctness contrast 的 selected-task band 在 Code 和 Math 中都跨 + 0,不能写成稳定能力提升或下降; +- 64 条独立跨进程 replay 在 12 个冻结字段上全部 `64 / 64 exact`。 + +因此,本轮最合理的结论是: + +> 同一个 system 文本的生成长度效应并不是孤立、固定方向的“system 开关效应”;它依赖 +> 历史边界 token,并且在 Code 与 Math 两类任务上方向相反。correctness 的方向则仍有 +> 明显任务与随机带不确定性。 + +--- + +## 1. 为什么 Round 07 还不够 + +Round 07 已经避免了最明显的伪样本量错误:它没有把同一道题的四个 seed 当成四道独立 +题。但每域只有 4 道题: + +```text +4 tasks × 4 seeds × 4 conditions +``` + +这仍有三个缺口: + +1. 4 道题上的方向很容易被单题主导; +2. 同一个 batch seed 不等于四行使用同一个随机数; +3. 任务差异与 sampling 随机带差异没有被正交地拆开。 + +Round 08 因此把预算优先给更多任务,并额外留下一个小型交叉设计: + +```text +32 tasks × T0 → 主 selected-task 分析 +4 tasks × T0–T3 → tape sensitivity +``` + +`4 tasks × 4 tapes` 是 crossed repeated measures,不是 16 道独立题。 + +--- + +## 2. 预注册与预运行修订 + +### 2.1 先冻结、后生成 + +首版协议与 64 题选择清单在任何本轮模型输出产生前提交: + +```text +6181af9 research: preregister task bootstrap CRN protocol +``` + +实现与 256 个 Chat prompt hash 在 smoke 前提交: + +```text +a09e6b1 research: freeze Chat prompts and CRN runner +``` + +评估、重放与 bootstrap 的指标口径已经写入首版协议;对应计算脚本在 formal 运行期间实现 +并提交: + +```text +65a91ae research: add task bootstrap evaluation pipeline +``` + +脚本实现没有根据 correctness 结果替换题、随机带、contrast、bootstrap seed 或主指标。 + +### 2.2 修订 1:固定四行 batch + +最初草案写成四条 trajectory 逐条 forward。实现审查发现这会把同一模型 forward 重复四 +次,预计增加约四倍 GPU/CPU-offload 时间。任何 smoke 输出之前,合同修订为: + +- 固定四行 batch; +- 行序 `s0_eos, s1_eos, s0_period, s1_period`; +- 四行第 `t` 步读取同一个 `u_t`; +- 某行 EOS 后,后续追加 PAD=EOS、attention mask 为 0; +- batch 内不存在跨行 attention; +- sampling 不调用 PyTorch RNG。 + +这项修订只改变执行效率与完成行的 padding 合同,没有看结果。 + +### 2.3 修订 2:纠正 Chat prompt hash + +tokenizer-only 闸门在模型加载前发现,首版 manifest 把路由探针的短输入 hash 错标成了 +Chat 生成 prompt hash。例如 `HumanEval/31`: + +```text +路由探针 s0_eos:48 tokens +Chat 生成 s0_eos:145 tokens +``` + +当时: + +- 本轮模型输出为 0; +- checkpoint 尚未加载; +- correctness 未计算。 + +清单随后: + +1. 保留原字段,并改名为 `routing_probe_prompt_token_ids_sha256`; +2. 用正式 Chat renderer 重新产生 64 × 4 = 256 个 hash; +3. 写入 `chat_generation_prompt_token_ids_sha256`; +4. runner 只核验后者。 + +最终: + +| 项目 | SHA-256 | +|---|---| +| manifest 文件 | `6313e70536c464fe598a93035576752418f08016dfd60ac246437c3b43bf2ae1` | +| manifest 规范内容 | `d15303e18345f6dec2aaf891ba812c0a0232b86f416f8f685eabbe818249e838` | +| 256 Chat prompt 合同 | `7f766be54463c7f513948dd6d63a55e12b85b9220ee177361c743cd9997f6c3b` | + +--- + +## 3. source 与执行网格 + +### 3.1 source 选择 + +两个 domain 都使用前序 routing control 中已冻结的全部 32 条: + +```text +sample salt = llm-atlas-deepseek-routing-template-control-v1 +within_domain_index = 0..31 +``` + +没有按 Round 07 pass、EOS、长度、文本质量或 selection rank 的“好看程度”二次筛选。 +完整 source ID、source hash、selection rank、四格 prompt hash 与 tape 分配见 manifest。 + +### 3.2 主随机带与诊断随机带 + +| tape | display seed | +|---|---:| +| T0 | 2,572,353,518 | +| T1 | 399,507,326 | +| T2 | 405,284,229 | +| T3 | 568,701,915 | + +全部 64 题运行 T0。每域 index `0, 8, 16, 24` 再运行 T1–T3。 + +### 3.3 独立 replay 子集 + +每域固定: + +```text +0, 4, 8, 12, 16, 20, 24, 28 +``` + +只 replay T0 × 四条件,共: + +```text +16 tasks × 4 conditions = 64 cells +``` + +这不是看完 formal 后挑的“容易复现样本”。 + +--- + +## 4. 显式共同随机数取样器 + +### 4.1 `u_t` 的定义 + +对同一 `source_id + tape + step`: + +```text +H = SHA256( + protocol_id + "\0uniform\0" + + tape_label + "\0" + + source_id + "\0" + + decimal(step) +) + +z_t = H[0:8] as big-endian uint64 +u_t = (z_t + 0.5) / 2^64 +``` + +四个 condition 使用完全相同的 `z_t / u_t`。每条 output 都记录: + +-实际消费步数; +-消费前缀的规范 SHA-256; +-前 8 个 uint64 hex; +- prompt、trajectory 与文本 hash。 + +离线审计从协议重新派生全部 352 条 output 的 uniform 前缀: + +```text +352 / 352 exact +``` + +### 4.2 概率分布 + +每步: + +1. fixed checkpoint 产生 BF16 logits; +2. `TemperatureLogitsWarper(0.3)`; +3. `TopPLogitsWarper(0.95, min_tokens_to_keep=1)`; +4. float32 softmax; +5. token ID 顺序 float32 CDF; +6. CDF 最后一个值强制为 1; +7. `u_t` 转 float32并 clamp 到相邻可表示开区间端点; +8. `torch.searchsorted(..., right=False)` 选 token。 + +必须区分: + +```text +模型与 .3/.95 概率分布:官方固定对象 +离散 sampler:本协议的显式 inverse CDF +``` + +本轮没有调用: + +```text +transformers.generate +torch.multinomial +``` + +所以不能把 trajectory 写成“官方 Transformers sampler 的 exact 输出”。 + +### 4.3 共同随机数不等于共同 token + +共享的是概率积分尺度上的 `u_t`。prompt 条件改变 logits 后,同一个 `u_t` 会落入不同 +token 的 CDF 区间。 + +这正是想要的配对: + +```text +随机冲击相同 +条件分布不同 +→ token 可以不同 +``` + +八个 domain × contrast 的主分析中: + +```text +32 sources × 8 domain-contrasts += 256 / 256 shared-uniform-prefix audits exact +``` + +--- + +## 5. smoke 闸门 + +smoke: + +```text +每域 index 0,8,16,24 +× T0/T1 +× 4 conditions +× 16-token cap += 64 short outputs +``` + +结果: + +| 闸门 | 结果 | +|---|---:| +| Chat prompt hash | 256 / 256 exact | +| short outputs | 64 / 64 | +| 同进程 T0 replay | 32 / 32 exact | +| T0/T1 可比格 | 32 | +| T0/T1 trajectory 分叉 | 17 / 32 | +| RNG state 前后不变 | 16 / 16 runs | +| synthetic inverse-CDF test | passed | +| OOM / NaN / exception | 0 | + +smoke 文件: + +```text +/tmp/deepseek-v2-lite-chat-task-bootstrap-smoke.json +SHA-256 c868e74f88e39343f95524b4b38d0c1503f727a22d4dfa3937532514205110b5 +``` + +smoke 不进入正式统计。 + +--- + +## 6. 正式执行账 + +### 6.1 总数 + +| 项目 | 数值 | +|---|---:| +| tasks | 64 | +| source × tape runs | 88 | +| outputs | 352 | +| T0 主 outputs | 256 | +| T1–T3 新增诊断 outputs | 96 | +| natural EOS | 343 | +| budget truncated | 9 | +| unique trajectory hashes | 320 | +| RNG state 前后不变 | 88 / 88 runs | + +### 6.2 分 domain 的全部 formal outputs + +这里含诊断题 T1–T3,只用于执行账,不是主通过率。 + +| domain | outputs | natural EOS | truncated | mean tokens | +|---|---:|---:|---:|---:| +| Code | 176 | 168 | 8 | 277.278 | +| Math | 176 | 175 | 1 | 183.188 | + +### 6.3 资源 + +| 项目 | 数值 | +|---|---:| +| checkpoint load | 8.344 s | +| formal generation sum | 4,336.699 s | +| peak CUDA allocated | 29,919,644,672 bytes | +| peak CUDA allocated | 27.864 GiB | +| GPU | NVIDIA GeForce RTX 5090 | +| dtype | BF16 | +| CUDA resident | embedding + layers 0–23 | +| CPU offload | layers 24–26 + norm + lm_head | + +这不是 serving benchmark。CPU-offloaded eager latency 不能外推成吞吐。 + +--- + +## 7. 独立 evaluator + +### 7.1 HumanEval sandbox + +固定: + +```text +python:3.11-alpine +@sha256:25976e9d34a0fab1f278cae931f34c8303d97bf0c0d7f85b6b4dcf641d7702a4 +``` + +约束: + +- network none; +- read-only root filesystem; +- user `65534:65534`; +- drop ALL capabilities; +- no-new-privileges; +- 256 MiB memory / swap; +- 64 PIDs; +- 0.5 CPU; +- 5 秒 timeout; +- host mounts 0。 + +### 7.2 T0 主评估总账 + +| domain | outputs | fixed-budget pass | strict pass | natural EOS | truncated | mean tokens | +|---|---:|---:|---:|---:|---:|---:| +| Code | 128 | 59 | 59 | 122 | 6 | 284.227 | +| Math | 128 | 71 | 71 | 127 | 1 | 185.969 | + +不要把 `59 / 128` 或 `71 / 128` 当成标准 benchmark 分数。分母是: + +```text +32 frozen tasks × 4 prompt conditions +``` + +同一道题在四条件中重复出现。 + +### 7.3 失败分类 + +HumanEval T0: + +| outcome | count | +|---|---:| +| passed | 59 | +| assertion failed | 47 | +| runtime error | 16 | +| timeout | 3 | +| extract failed | 2 | +| syntax error | 1 | + +GSM8K T0: + +| outcome | count | +|---|---:| +| numeric exact | 71 | +| wrong numeric answer | 57 | +| no numeric answer | 0 | + +通过 HumanEval tests 只是功能证据,不是安全证据。 + +--- + +## 8. T0 四条件:先看原始格 + +### 8.1 Code + +| condition | pass / 32 | natural EOS / 32 | mean tokens | +|---|---:|---:|---:| +| `s0_eos` | 16 | 30 | 330.094 | +| `s1_eos` | 16 | 30 | 308.938 | +| `s0_period` | 15 | 31 | 314.375 | +| `s1_period` | 12 | 31 | 183.500 | + +### 8.2 Math + +| condition | pass / 32 | natural EOS / 32 | mean tokens | +|---|---:|---:|---:| +| `s0_eos` | 19 | 31 | 181.406 | +| `s1_eos` | 19 | 32 | 190.969 | +| `s0_period` | 17 | 32 | 173.188 | +| `s1_period` | 16 | 32 | 198.313 | + +同样的 `s1_period`,在 Code 中最短,在 Math 中却最长。这比一个全域平均值更重要。 + +--- + +## 9. selected-task bootstrap + +### 9.1 它是什么 + +每个 domain: + +-固定 T0; +- 32 题有放回重采样 32 题; +-四条件保持题级配对; +- 10,000 次; +- `numpy.random.default_rng`; +- seed `1,364,512,825`; +-报告 mean contrast 的 percentile 2.5 / 50 / 97.5%。 + +准确标签: + +> 当前冻结 32 题、固定 T0 的 selected-task resampling band。 + +它不是: + +-完整 benchmark population CI; +-模型能力 CI; +- generation-seed uncertainty CI; +-因果效应 CI。 + +### 9.2 correctness:所有带都跨 0 + +右减左,单位为每题成功率: + +| domain | contrast | point | selected-task band | +|---|---|---:|---:| +| Code | period at s0 | -0.0313 | [-0.1563, 0.0938] | +| Code | period at s1 | -0.1250 | [-0.3438, 0.0938] | +| Code | system at EOS | 0.0000 | [-0.1250, 0.1250] | +| Code | system at period | -0.0938 | [-0.2500, 0.0625] | +| Math | period at s0 | -0.0625 | [-0.2188, 0.0938] | +| Math | period at s1 | -0.0938 | [-0.2500, 0.0625] | +| Math | system at EOS | 0.0000 | [-0.1563, 0.1563] | +| Math | system at period | -0.0313 | [-0.1563, 0.0938] | + +点估计里 period 条件经常更低,但任务重采样带都覆盖 0。不能把点估计写成稳定能力损失。 + +### 9.3 correctness 转移表 + +`right` 相对 `left`: + +| domain | contrast | fail→pass | pass→fail | both pass | both fail | +|---|---|---:|---:|---:|---:| +| Code | period at s0 | 2 | 3 | 13 | 14 | +| Code | period at s1 | 4 | 8 | 8 | 12 | +| Code | system at EOS | 2 | 2 | 14 | 14 | +| Code | system at period | 2 | 5 | 10 | 15 | +| Math | period at s0 | 3 | 5 | 14 | 10 | +| Math | period at s1 | 2 | 5 | 14 | 11 | +| Math | system at EOS | 3 | 3 | 16 | 10 | +| Math | system at period | 2 | 3 | 14 | 13 | + +即使平均差是 0,也可能同时有 fail→pass 与 pass→fail。例如 system at EOS 在两个 domain +都恰好净 0,但不是每题完全不变。 + +### 9.4 输出长度 + +右减左,单位 tokens: + +| domain | contrast | point | selected-task band | +|---|---|---:|---:| +| Code | period at s0 | -15.719 | [-57.627, 24.938] | +| Code | period at s1 | -125.438 | [-165.031, -85.125] | +| Code | system at EOS | -21.156 | [-47.846, 2.438] | +| Code | system at period | -130.875 | [-178.688, -83.218] | +| Math | period at s0 | -8.219 | [-27.563, 8.688] | +| Math | period at s1 | 7.344 | [-9.407, 26.094] | +| Math | system at EOS | 9.563 | [-4.938, 25.188] | +| Math | system at period | 25.125 | [7.874, 44.531] | + +两个清楚不跨 0 的 system-at-period 长度带方向相反: + +```text +Code → system on 更短 +Math → system on 更长 +``` + +这是一条比“system prompt 会让输出变短/变长”更精确的结论: + +> system 的长度关联依赖 boundary 与 domain。 + +### 9.5 EOS + +EOS contrast 很小: + +- Code:四个 contrast 的 point 在 `0` 或 `+1/32`; +- Math:同样只在 `0` 或 `+1/32`; +-大部分 source 的 EOS 状态不变。 + +因此,Code 中 `-130.875` token 的 system-at-period 差异主要不是简单的“更多题命中 EOS” +造成,而是在都自然结束的 trajectory 内结束得更早。 + +--- + +## 10. trajectory 与 first divergence + +### 10.1 共同随机数审计 + +| domain | contrast | uniform exact | exact full trajectory | mean common-prefix tokens | +|---|---|---:|---:|---:| +| Code | period at s0 | 32 / 32 | 0 | 13.25 | +| Code | period at s1 | 32 / 32 | 0 | 3.69 | +| Code | system at EOS | 32 / 32 | 0 | 23.91 | +| Code | system at period | 32 / 32 | 1 | 11.88 | +| Math | period at s0 | 32 / 32 | 6 | 52.53 | +| Math | period at s1 | 32 / 32 | 1 | 22.91 | +| Math | system at EOS | 32 / 32 | 6 | 59.44 | +| Math | system at period | 32 / 32 | 1 | 27.75 | + +同一个 `u_t` 没有让四格“黏”成相同 token。特别是 Code 的 `s1` period contrast 平均只 +共享约 3.7 个前缀 token 就分叉。 + +Math 的共同前缀更长、exact trajectory 更多,说明 prompt 条件的作用方式也有 domain +差异。 + +--- + +## 11. 四随机带诊断 + +每域固定四题,不外推为 32 题总体。 + +### 11.1 correctness contrast 的 tape means + +右减左;每个值是 4 道诊断题的均值: + +#### Code + +| contrast | T0 | T1 | T2 | T3 | +|---|---:|---:|---:|---:| +| period at s0 | 0.00 | 0.00 | 0.00 | 0.00 | +| period at s1 | -0.25 | 0.00 | 0.00 | 0.00 | +| system at EOS | 0.00 | 0.00 | 0.00 | 0.00 | +| system at period | -0.25 | 0.00 | 0.00 | 0.00 | + +Code 的四题诊断子集中,T0 上的两个 `-0.25` 没有在 T1–T3 重现。它支持谨慎解释主 +correctness 点估计。 + +#### Math + +| contrast | T0 | T1 | T2 | T3 | +|---|---:|---:|---:|---:| +| period at s0 | 0.00 | 0.00 | -0.25 | +0.25 | +| period at s1 | -0.50 | -0.75 | -0.25 | -0.50 | +| system at EOS | 0.00 | +0.50 | -0.25 | +0.25 | +| system at period | -0.50 | -0.25 | -0.25 | -0.50 | + +Math 四题上,方向与幅度都明显依赖 tape;四题太少,不能把这些数当成稳定概率。 + +### 11.2 长度 contrast 的 tape means + +#### Code + +| contrast | T0 | T1 | T2 | T3 | +|---|---:|---:|---:|---:| +| period at s0 | -14.50 | +44.50 | +13.50 | -16.75 | +| period at s1 | -108.50 | -155.00 | -21.00 | -163.25 | +| system at EOS | -59.00 | +6.00 | -90.00 | -39.50 | +| system at period | -153.00 | -193.50 | -124.50 | -186.00 | + +Code 的 system-at-period 在四条 tape 上都明显为负;period-at-s1 也都为负,但 T2 幅度 +较小。 + +#### Math + +| contrast | T0 | T1 | T2 | T3 | +|---|---:|---:|---:|---:| +| period at s0 | -5.25 | +31.25 | -10.00 | +4.00 | +| period at s1 | +0.50 | +0.25 | +3.25 | -2.50 | +| system at EOS | -3.00 | +54.75 | -7.50 | +32.75 | +| system at period | +2.75 | +23.75 | +5.75 | +26.25 | + +Math 四题上的 system-at-period 四条 tape 都为正,但幅度从 `+2.75` 到 `+26.25`。 + +诊断支持长度交互的方向,但仍只覆盖 4 道题 × 4 条 tape。 + +--- + +## 12. 独立跨进程 replay + +重放结果: + +```text +16 sources × T0 × 4 conditions = 64 cells +``` + +| 字段 | exact | +|---|---:| +| run seed | 64 / 64 | +| prompt hash | 64 / 64 | +| full run uniform hash | 64 / 64 | +| output uniform-prefix hash | 64 / 64 | +| uniform steps | 64 / 64 | +| generated token IDs | 64 / 64 | +| decoded text | 64 / 64 | +| EOS state | 64 / 64 | +| truncation state | 64 / 64 | +| CPU RNG pre-state | 64 / 64 | +| CUDA RNG pre-state | 64 / 64 | +| RNG unchanged flag | 64 / 64 | + +总闸门: + +```text +64 / 64 all preregistered fields exact +``` + +这证明固定硬件/软件/精度/执行合同下的逐 token 可重放,不证明换 GPU、PyTorch、 +Transformers、kernel 或 dtype 后仍 exact。 + +--- + +## 13. 已知偏离与限制 + +### 13.1 gold 文件打开时机偏离 + +runner 复用了前序 `behavior.task_score` 路径: + +1. 在模型加载前读取 HumanEval / GSM8K gold; +2. 每条文本生成结束后附加一个 narrow `task_score`; +3. authoritative evaluator 在全部 formal 输出冻结后另行运行。 + +这不满足协议中最严格的“gold 只在生成进程结束后打开”表述。 + +为什么它不改变 trajectory: + +- gold 不进入 message / prompt; +- gold 不进入 tokenizer 输入; +- gold 不进入 logits、warper、CDF 或 `u_t`; +- gold 不改变 source、tape、max tokens 或 stop; +- `task_score` 在 token 序列生成结束后才调用; +-独立 evaluator 的 352 行结果不读取 runner 的 `task_score`; +- 64-cell replay exact。 + +因此它是**真实的流程隔离偏离**,但没有已知的生成因果路径。后续 runner 应删除 +`task_score`,让生成进程完全不打开 gold。 + +### 13.2 不是完整 benchmark + +HumanEval 只使用冻结 32 / 164 tasks;GSM8K 只使用冻结 32 / 1,319 test tasks。source +selection 是前序 SHA 排序合同,不是完整 benchmark。 + +### 13.3 一条主随机带 + +32 题主分析只用 T0。selected-task band 不包含 generation-tape uncertainty。 + +### 13.4 多随机带只有四题 + +T0–T3 诊断只覆盖每域四题。它揭示 sensitivity,但不能稳定估计 tape 方差。 + +### 13.5 counterfactual 不可部署 + +period cell 是把一个官方 EOS boundary ID 改为普通句点 ID。它不是官方有效聊天格式。 + +### 13.6 成功不是安全 + +HumanEval pass 只说明固定 tests 通过。它不说明: + +-安全; +-鲁棒; +-无未测 bug; +-可部署。 + +--- + +## 14. 证据文件与 SHA-256 + +| 文件 | SHA-256 | +|---|---| +| formal sampling | `ea0607f2b197fac3f794655c1538ce1f9a1cb072d637eb31d35573682e311809` | +| independent evaluation | `82b2fc5d1f854a7e0cd7aba7c70ff74d733d24221522a4f92b962478c76177ab` | +| replay generation | `6519947e2fa4327c1ba2cc506b0861f172a6bdbd4f2d6787447edaf8fbcac508` | +| reproduction comparison | `63ed39e5dcdbc2a30e516172f3657dfa453ff3b23d5bd5c49c734939242a70f5` | +| bootstrap analysis | `9ab17561ced930a668c082141f7c6e013cbda70e42b09de63d41f1b82c01a6ae` | +| compact website data | `082e3c56373e5f91d51d88b1430d14ad3b68b0f200e80901171c2fb62a1e57bf` | +| frozen manifest | `6313e70536c464fe598a93035576752418f08016dfd60ac246437c3b43bf2ae1` | + +离线一致性检查: + +```bash +node scripts/check-deepseek-chat-task-bootstrap-crn-data.mjs +``` + +通过: + +```text +formal sources 64 +formal runs 88 +formal outputs 352 +prompt hashes exact 256 +uniform output hashes exact 352 +RNG unchanged runs 88 +evaluation rows 352 +reproduction exact cells 64 / 64 +CRN contrast checks 256 +bootstrap resamples 10,000 +``` + +--- + +## 15. 最终结论该怎么写 + +### 可以写 + +1. 在当前固定 32 道 HumanEval、T0 下,system-at-period 的平均输出长度比 system-off + 短约 131 tokens,selected-task band 不跨 0; +2. 在当前固定 32 道 GSM8K、T0 下,同一 contrast 平均长约 25 tokens,band 方向相反; +3. 两个 domain 的 correctness contrast bands 都跨 0; +4. 每域四题的 T0–T3 诊断显示 correctness 对 tape 敏感,长度交互的方向相对更一致; +5. 显式 CRN 与 64-cell 跨进程 replay 都通过 exact audit。 + +### 不可以写 + +1. “system prompt 普遍让代码更短、数学更长”; +2. “period 会降低 DeepSeek 的总体能力”; +3. “这些是完整 HumanEval / GSM8K 分数”; +4. “selected-task band 是模型总体 95% CI”; +5. “period 是官方聊天格式”; +6. “通过 HumanEval tests 就安全”; +7. “本协议 trajectory 等于官方 `torch.multinomial` trajectory”。 + +本轮真正增加的不是一个更大的数字,而是一条更干净的推理链: + +```text +固定任务 +→ 固定概率分布 +→ 显式共享随机冲击 +→ 条件内逐题配对 +→ 任务重采样 +→ 独立随机带诊断 +→ 跨进程逐 token 重放 +``` + +它让“prompt 边界如何改变生成行为”从单题现象,前进到一个仍有限、但可审计的任务级机制 +实验。 diff --git a/scripts/build-deepseek-chat-task-bootstrap-crn-compact.mjs b/scripts/build-deepseek-chat-task-bootstrap-crn-compact.mjs new file mode 100644 index 0000000..6428861 --- /dev/null +++ b/scripts/build-deepseek-chat-task-bootstrap-crn-compact.mjs @@ -0,0 +1,347 @@ +#!/usr/bin/env node + +import { createHash } from "node:crypto"; +import { readFile, writeFile } from "node:fs/promises"; +import process from "node:process"; + +const CONDITIONS = ["s0_eos", "s1_eos", "s0_period", "s1_period"]; +const DOMAINS = ["code", "math"]; +const CONTRASTS = [ + "period_at_s0", + "period_at_s1", + "system_at_eos", + "system_at_period", +]; +const PATHS = { + sampling: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn.json", + evaluation: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-eval.json", + reproduction: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-reproduction.json", + analysis: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-analysis.json", + output: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-compact.json", +}; + +function sha256(value) { + return createHash("sha256").update(value).digest("hex"); +} + +function parseArgs(argv) { + const result = { ...PATHS }; + for (let index = 2; index < argv.length; index += 2) { + const key = argv[index]?.replace(/^--/, ""); + const value = argv[index + 1]; + if (!(key in result) || value === undefined) { + throw new Error(`Unknown or incomplete argument: ${argv[index]}`); + } + result[key] = value; + } + return result; +} + +function success(row) { + const evaluation = row.task_evaluation; + return row.domain === "code" + ? evaluation.fixed_budget_tests_pass + : evaluation.fixed_budget_numeric_exact; +} + +const paths = parseArgs(process.argv); +const inputBytes = {}; +const input = {}; +for (const name of ["sampling", "evaluation", "reproduction", "analysis"]) { + inputBytes[name] = await readFile(paths[name]); + input[name] = JSON.parse(inputBytes[name]); +} +const { sampling, evaluation, reproduction, analysis } = input; +const evaluationIndex = new Map( + evaluation.rows.map((row) => [ + `${row.source_id}\0${row.tape_label}\0${row.condition}`, + row, + ]), +); +const sampleIndex = new Map( + sampling.sources.flatMap((source) => + source.runs.flatMap((run) => + run.outputs.map((output) => [ + `${source.id}\0${run.tape_label}\0${output.condition}`, + output, + ]), + ), + ), +); + +const conditionTable = Object.fromEntries( + DOMAINS.map((domain) => [ + domain, + CONDITIONS.map((condition) => { + const summary = + evaluation.summary.main_t0_by_domain_condition[domain][condition]; + return { + condition, + outputs: summary.outputs, + success: summary.fixed_budget_success, + successRate: summary.fixed_budget_success / summary.outputs, + naturalEos: summary.natural_eos, + naturalEosRate: summary.natural_eos / summary.outputs, + meanTokens: summary.mean_generated_tokens, + outcomes: summary.task_outcomes, + }; + }), + ]), +); + +const contrasts = Object.fromEntries( + DOMAINS.map((domain) => [ + domain, + Object.fromEntries( + CONTRASTS.map((name) => { + const row = + analysis.main_t0_selected_task_analysis[domain].contrasts[name]; + const metrics = Object.fromEntries( + Object.entries(row.metrics).map(([metric, value]) => [ + metric, + { + point: value.right_minus_left_point, + band: value.selected_task_resampling_band, + directions: value.direction_counts, + transition: value.transition ?? null, + }, + ]), + ); + return [ + name, + { + left: row.left, + right: row.right, + metrics, + trajectory: { + sources: row.trajectory.sources, + sharedUniformExact: + row.trajectory.shared_uniform_prefix_exact, + exactTrajectories: row.trajectory.exact_trajectories, + commonPrefixTokens: row.trajectory.common_prefix_tokens, + }, + }, + ]; + }), + ), + ]), +); + +const diagnostic = Object.fromEntries( + DOMAINS.map((domain) => [ + domain, + { + sourceIds: analysis.multi_tape_diagnostic[domain].source_ids, + tapes: analysis.multi_tape_diagnostic[domain].tapes, + contrasts: Object.fromEntries( + CONTRASTS.map((name) => { + const row = + analysis.multi_tape_diagnostic[domain].contrasts[name]; + return [ + name, + { + left: row.left, + right: row.right, + success: { + matrix: + row.metrics.fixed_budget_success.matrix_task_by_tape, + tapeMeans: + row.metrics.fixed_budget_success.tape_means, + taskRangeWithinTape: + row.metrics.fixed_budget_success.task_range_within_tape, + tapeRangeWithinTask: + row.metrics.fixed_budget_success.tape_range_within_task, + }, + tokens: { + matrix: row.metrics.generated_tokens.matrix_task_by_tape, + tapeMeans: row.metrics.generated_tokens.tape_means, + taskRangeWithinTape: + row.metrics.generated_tokens.task_range_within_tape, + tapeRangeWithinTask: + row.metrics.generated_tokens.tape_range_within_task, + }, + }, + ]; + }), + ), + }, + ]), +); + +const tasks = Object.fromEntries( + DOMAINS.map((domain) => { + const domainSources = sampling.sources + .filter((source) => source.domain === domain) + .sort((left, right) => left.within_domain_index - right.within_domain_index); + return [ + domain, + domainSources.map((source) => { + const conditions = Object.fromEntries( + CONDITIONS.map((condition) => { + const evaluationRow = evaluationIndex.get( + `${source.id}\0T0\0${condition}`, + ); + const samplingRow = sampleIndex.get( + `${source.id}\0T0\0${condition}`, + ); + return [ + condition, + { + success: success(evaluationRow), + outcome: evaluationRow.task_outcome, + tokens: evaluationRow.generated_tokens, + naturalEos: evaluationRow.hit_eos, + truncated: evaluationRow.stopped_at_max_new_tokens, + trajectoryHash: + evaluationRow.generated_token_ids_sha256.slice(0, 12), + firstTokenIds: samplingRow.generated_token_ids.slice(0, 8), + }, + ]; + }), + ); + const taskContrasts = Object.fromEntries( + CONTRASTS.map((name) => { + const sourceRow = + analysis.main_t0_selected_task_analysis[domain].contrasts[name]; + const successRow = + sourceRow.metrics.fixed_budget_success.by_source.find( + (row) => row.source_id === source.id, + ); + const tokenRow = sourceRow.metrics.generated_tokens.by_source.find( + (row) => row.source_id === source.id, + ); + const trajectoryRow = sourceRow.trajectory.rows.find( + (row) => row.source_id === source.id, + ); + return [ + name, + { + successDelta: successRow.right_minus_left, + tokenDelta: tokenRow.right_minus_left, + commonPrefixTokens: trajectoryRow.common_prefix_tokens, + exactTrajectory: trajectoryRow.token_ids_exact, + }, + ]; + }), + ); + return { + id: source.id, + index: source.within_domain_index, + conditions, + contrasts: taskContrasts, + diagnosticTapes: source.runs.map((run) => run.tape_label), + }; + }), + ]; + }), +); + +const exampleSource = sampling.sources.find( + (source) => source.id === "HumanEval/31", +); +const exampleRun = exampleSource.runs.find((run) => run.tape_label === "T0"); +const compact = { + schemaVersion: 1, + protocolId: sampling.protocol_id, + capturedAt: sampling.captured_at, + model: { + repo: sampling.model.repo, + revision: sampling.model.revision, + checkpointIdentity: sampling.model.checkpoint_identity, + dtype: sampling.model.dtype, + }, + artifactHashes: Object.fromEntries( + Object.entries(inputBytes).map(([name, bytes]) => [name, sha256(bytes)]), + ), + grid: { + formalSources: sampling.summary.sources, + formalRuns: sampling.summary.runs, + formalOutputs: sampling.summary.outputs, + mainT0Outputs: evaluation.summary.main_t0.outputs, + diagnosticAdditionalOutputs: + evaluation.summary.diagnostic_additional_t1_t3.outputs, + naturalEos: sampling.summary.natural_eos, + budgetTruncated: sampling.summary.budget_truncated, + uniqueTrajectories: sampling.summary.unique_generated_token_hashes, + promptHashesExact: sampling.source_contract.prompt_hash_audit.exact, + torchRngUnchangedRuns: sampling.summary.torch_rng_unchanged_runs, + }, + sampler: { + name: sampling.generation_contract.decode, + temperature: sampling.generation_contract.distribution_temperature, + topP: sampling.generation_contract.distribution_top_p, + softmaxDtype: sampling.generation_contract.softmax_dtype, + cdfDtype: sampling.generation_contract.cdf_dtype, + uniformDtype: sampling.generation_contract.uniform_dtype, + transformersGenerateCalled: + sampling.generation_contract.transformers_generate_called, + torchMultinomialCalled: + sampling.generation_contract.torch_multinomial_called, + commonRandomNumbers: + sampling.seed_contract.explicit_common_random_numbers, + }, + conditionTable, + contrasts, + diagnostic, + tasks, + outcomes: { + code: evaluation.summary.main_t0.by_domain.code.task_outcomes, + math: evaluation.summary.main_t0.by_domain.math.task_outcomes, + }, + reproduction: reproduction.summary, + bootstrap: analysis.bootstrap_contract, + uniformExample: { + sourceId: exampleSource.id, + tape: exampleRun.tape_label, + uniformUint64FirstEightHex: exampleRun.uniform_uint64_first_eight_hex, + uniformFloat32FirstEight: exampleRun.uniform_float32_first_eight, + conditions: Object.fromEntries( + exampleRun.outputs.map((output) => [ + output.condition, + { + generatedTokenIds: output.generated_token_ids.slice(0, 8), + generatedTokens: output.generated_tokens, + naturalEos: output.hit_eos, + }, + ]), + ), + }, + deviations: [ + { + id: "prompt-hash-correction", + severity: "corrected-before-output", + summary: + "The first manifest mislabeled routing-probe hashes as Chat prompt hashes; all 256 Chat hashes were corrected before model output.", + }, + { + id: "gold-loaded-in-runner", + severity: "reported-process-deviation", + summary: + "The reused runner loaded gold for a post-decode narrow task_score before generation finished. Gold never entered prompts, logits, sampling, selection, or the authoritative evaluator.", + }, + ], + evidenceBoundary: [ + "HumanEval and GSM8K remain separate.", + "Selected-task bands cover only the frozen 32-task frame under T0.", + "T1-T3 are sensitivity diagnostics, not extra independent tasks.", + "The explicit sampler uses the official .3/.95 distribution but is not a torch.multinomial trajectory.", + "Period prompts are counterfactual and not official-valid chats.", + ], +}; + +await writeFile(paths.output, `${JSON.stringify(compact, null, 2)}\n`); +const outputBytes = await readFile(paths.output); +process.stdout.write( + `${JSON.stringify( + { + output: paths.output, + bytes: outputBytes.length, + sha256: sha256(outputBytes), + tasks: Object.values(tasks).reduce((sum, rows) => sum + rows.length, 0), + formalOutputs: compact.grid.formalOutputs, + reproduction: compact.reproduction, + }, + null, + 2, + )}\n`, +); diff --git a/scripts/check-deepseek-chat-task-bootstrap-crn-data.mjs b/scripts/check-deepseek-chat-task-bootstrap-crn-data.mjs new file mode 100644 index 0000000..96eeb66 --- /dev/null +++ b/scripts/check-deepseek-chat-task-bootstrap-crn-data.mjs @@ -0,0 +1,217 @@ +#!/usr/bin/env node + +import { createHash } from "node:crypto"; +import { readFile } from "node:fs/promises"; +import process from "node:process"; + +const PROTOCOL_ID = "llm-atlas-deepseek-chat-task-bootstrap-crn-v1"; +const CONDITIONS = ["s0_eos", "s1_eos", "s0_period", "s1_period"]; +const EXPECTED_HASHES = { + sampling: "ea0607f2b197fac3f794655c1538ce1f9a1cb072d637eb31d35573682e311809", + evaluation: "82b2fc5d1f854a7e0cd7aba7c70ff74d733d24221522a4f92b962478c76177ab", + replay: "6519947e2fa4327c1ba2cc506b0861f172a6bdbd4f2d6787447edaf8fbcac508", + reproduction: "63ed39e5dcdbc2a30e516172f3657dfa453ff3b23d5bd5c49c734939242a70f5", + analysis: "9ab17561ced930a668c082141f7c6e013cbda70e42b09de63d41f1b82c01a6ae", + manifest: "6313e70536c464fe598a93035576752418f08016dfd60ac246437c3b43bf2ae1", +}; +const DEFAULT_PATHS = { + sampling: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn.json", + evaluation: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-eval.json", + replay: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-replay.json", + reproduction: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-reproduction.json", + analysis: "src/data/deepseek-v2-lite-chat-task-bootstrap-crn-analysis.json", + manifest: "research/DEEPSEEK_V2_LITE_CHAT_TASK_BOOTSTRAP_MANIFEST.json", +}; + +function sha256(value) { + return createHash("sha256").update(value).digest("hex"); +} + +function canonicalIntegerArray(values) { + return `[${values.map((value) => value.toString()).join(",")}]`; +} + +function tapeUint64(tape, sourceId, step) { + const payload = `${PROTOCOL_ID}\0uniform\0${tape}\0${sourceId}\0${step}`; + return createHash("sha256").update(payload).digest().readBigUInt64BE(0); +} + +function assert(value, message) { + if (!value) { + throw new Error(message); + } +} + +const loaded = {}; +for (const [name, path] of Object.entries(DEFAULT_PATHS)) { + const bytes = await readFile(path); + assert( + sha256(bytes) === EXPECTED_HASHES[name], + `${name}: file SHA-256 differs`, + ); + loaded[name] = JSON.parse(bytes); +} +const { sampling, evaluation, replay, reproduction, analysis, manifest } = loaded; +for (const [name, payload] of Object.entries(loaded)) { + assert(payload.protocol_id === PROTOCOL_ID, `${name}: protocol ID differs`); +} + +assert(sampling.execution_mode === "formal", "sampling: not formal mode"); +assert(sampling.sources.length === 64, "sampling: source count differs"); +assert(sampling.summary.runs === 88, "sampling: run count differs"); +assert(sampling.summary.outputs === 352, "sampling: output count differs"); +assert(sampling.summary.natural_eos === 343, "sampling: EOS count differs"); +assert(sampling.summary.budget_truncated === 9, "sampling: truncation count differs"); +assert( + sampling.summary.torch_rng_unchanged_runs === 88, + "sampling: RNG nonconsumption count differs", +); +assert( + sampling.source_contract.prompt_hash_audit.exact === 256, + "sampling: prompt audit differs", +); + +const manifestBySource = new Map( + manifest.sources.map((source) => [source.id, source]), +); +const samplingKeys = new Set(); +let uniformOutputHashesExact = 0; +let diagnosticSources = 0; +for (const source of sampling.sources) { + const frozen = manifestBySource.get(source.id); + assert(frozen, `${source.id}: absent from manifest`); + assert(source.domain === frozen.domain, `${source.id}: domain differs`); + assert( + source.within_domain_index === frozen.domain_index, + `${source.id}: domain index differs`, + ); + const expectedTapes = [...frozen.main_tapes, ...frozen.diagnostic_tapes]; + const observedTapes = source.runs.map((run) => run.tape_label); + assert( + JSON.stringify(observedTapes) === JSON.stringify(expectedTapes), + `${source.id}: tape assignment differs`, + ); + diagnosticSources += source.runs.length === 4; + for (const run of source.runs) { + assert(run.torch_rng_unchanged, `${source.id}/${run.tape_label}: RNG changed`); + assert( + JSON.stringify(run.outputs.map((output) => output.condition)) + === JSON.stringify(CONDITIONS), + `${source.id}/${run.tape_label}: condition order differs`, + ); + for (const output of run.outputs) { + const key = `${source.id}\0${run.tape_label}\0${output.condition}`; + assert(!samplingKeys.has(key), `${key}: duplicate sampling key`); + samplingKeys.add(key); + assert( + output.prompt_token_ids_sha256 + === frozen.chat_generation_prompt_token_ids_sha256[output.condition], + `${key}: prompt hash differs`, + ); + const uniforms = Array.from( + { length: output.uniform_steps_consumed }, + (_, step) => tapeUint64(run.tape_label, source.id, step), + ); + assert( + sha256(canonicalIntegerArray(uniforms)) + === output.uniform_uint64_prefix_sha256, + `${key}: uniform prefix hash differs`, + ); + uniformOutputHashesExact += 1; + } + } +} +assert(diagnosticSources === 8, "sampling: diagnostic source count differs"); +assert(samplingKeys.size === 352, "sampling: unique key count differs"); +assert(uniformOutputHashesExact === 352, "sampling: uniform audit differs"); + +assert(evaluation.rows.length === 352, "evaluation: row count differs"); +const evaluationKeys = new Set( + evaluation.rows.map( + (row) => `${row.source_id}\0${row.tape_label}\0${row.condition}`, + ), +); +assert(evaluationKeys.size === 352, "evaluation: duplicate keys"); +assert( + [...evaluationKeys].every((key) => samplingKeys.has(key)), + "evaluation: cell key absent from sampling", +); +assert( + evaluation.summary.main_t0.outputs === 256, + "evaluation: T0 output count differs", +); +assert( + evaluation.summary.main_t0.by_domain.code.fixed_budget_success === 59, + "evaluation: code success count differs", +); +assert( + evaluation.summary.main_t0.by_domain.math.fixed_budget_success === 71, + "evaluation: math success count differs", +); + +assert(replay.execution_mode === "replay", "replay: mode differs"); +assert(replay.sources.length === 16, "replay: source count differs"); +assert(replay.summary.outputs === 64, "replay: output count differs"); +assert( + replay.summary.torch_rng_unchanged_runs === 16, + "replay: RNG nonconsumption count differs", +); +assert( + reproduction.summary.cells === 64 + && reproduction.summary.all_preregistered_fields_exact === 64, + "reproduction: exact cell count differs", +); +assert( + Object.values(reproduction.summary.by_field).every((count) => count === 64), + "reproduction: a field is not 64/64 exact", +); + +assert( + analysis.bootstrap_contract.resamples === 10000 + && analysis.bootstrap_contract.seed === 1364512825, + "analysis: bootstrap contract differs", +); +let crnContrastChecks = 0; +for (const domain of ["code", "math"]) { + const domainAnalysis = analysis.main_t0_selected_task_analysis[domain]; + assert(domainAnalysis.tasks === 32, `${domain}: task count differs`); + for (const contrast of Object.values(domainAnalysis.contrasts)) { + assert( + contrast.trajectory.shared_uniform_prefix_exact === 32, + `${domain}: contrast CRN audit differs`, + ); + crnContrastChecks += contrast.trajectory.shared_uniform_prefix_exact; + } +} +assert(crnContrastChecks === 256, "analysis: CRN contrast total differs"); + +process.stdout.write( + `${JSON.stringify( + { + passed: true, + protocol_id: PROTOCOL_ID, + files: EXPECTED_HASHES, + formal: { + sources: sampling.sources.length, + runs: sampling.summary.runs, + outputs: sampling.summary.outputs, + prompt_hashes_exact: sampling.source_contract.prompt_hash_audit.exact, + uniform_output_hashes_exact: uniformOutputHashesExact, + torch_rng_unchanged_runs: sampling.summary.torch_rng_unchanged_runs, + }, + evaluation: { + rows: evaluation.rows.length, + main_t0_outputs: evaluation.summary.main_t0.outputs, + code_success: evaluation.summary.main_t0.by_domain.code.fixed_budget_success, + math_success: evaluation.summary.main_t0.by_domain.math.fixed_budget_success, + }, + reproduction: reproduction.summary, + analysis: { + bootstrap_resamples: analysis.bootstrap_contract.resamples, + crn_contrast_checks: crnContrastChecks, + }, + }, + null, + 2, + )}\n`, +); diff --git a/src/data/deepseek-v2-lite-chat-task-bootstrap-crn-analysis.json b/src/data/deepseek-v2-lite-chat-task-bootstrap-crn-analysis.json new file mode 100644 index 0000000..cb82a01 --- /dev/null +++ b/src/data/deepseek-v2-lite-chat-task-bootstrap-crn-analysis.json @@ -0,0 +1,13879 @@ +{ + "schema_version": 1, + "protocol_id": "llm-atlas-deepseek-chat-task-bootstrap-crn-v1", + "inputs": { + "sampling": { + "path": "/tmp/deepseek-v2-lite-chat-task-bootstrap-formal.json", + "sha256": "ea0607f2b197fac3f794655c1538ce1f9a1cb072d637eb31d35573682e311809", + "content_hash": "ed849b2edab2598829f1b34efff6ceb0671ba5e0c65f6ebd824edea3f50ce531" + }, + "evaluation": { + "path": "/tmp/deepseek-v2-lite-chat-task-bootstrap-eval.json", + "sha256": "82b2fc5d1f854a7e0cd7aba7c70ff74d733d24221522a4f92b962478c76177ab", + "content_hash": "8f8a4975484e4a5d71cda5b49d98dce700c4d074e1de3565c34c9d7349d1367e" + }, + "reproduction": { + "path": "/tmp/deepseek-v2-lite-chat-task-bootstrap-reproduction.json", + "sha256": "63ed39e5dcdbc2a30e516172f3657dfa453ff3b23d5bd5c49c734939242a70f5", + "summary": { + "cells": 64, + "all_preregistered_fields_exact": 64, + "by_field": { + "run_seed_exact": 64, + "prompt_hash_exact": 64, + "uniform_run_hash_exact": 64, + "uniform_output_prefix_hash_exact": 64, + "uniform_steps_exact": 64, + "generated_token_ids_exact": 64, + "decoded_text_exact": 64, + "eos_state_exact": 64, + "truncation_state_exact": 64, + "cpu_rng_pre_state_exact": 64, + "cuda_rng_pre_state_exact": 64, + "torch_rng_unchanged_exact": 64 + } + } + } + }, + "bootstrap_contract": { + "resamples": 10000, + "seed": 1364512825, + "rng": "numpy.random.default_rng reset per domain", + "unit": "selected task", + "paired_conditions": true, + "tape": "T0", + "interval_label": "selected-task resampling band for the fixed 32-task frame and T0", + "not": [ + "benchmark-population confidence interval", + "model-ability confidence interval", + "generation-seed uncertainty interval", + "causal-effect confidence interval" + ] + }, + "main_t0_selected_task_analysis": { + "code": { + "tasks": 32, + "source_ids": [ + "HumanEval/31", + "HumanEval/44", + "HumanEval/133", + "HumanEval/23", + "HumanEval/147", + "HumanEval/34", + "HumanEval/123", + "HumanEval/77", + "HumanEval/22", + "HumanEval/127", + "HumanEval/37", + "HumanEval/48", + "HumanEval/158", + "HumanEval/70", + "HumanEval/89", + "HumanEval/9", + "HumanEval/53", + "HumanEval/145", + "HumanEval/35", + "HumanEval/103", + "HumanEval/25", + "HumanEval/98", + "HumanEval/115", + "HumanEval/10", + "HumanEval/141", + "HumanEval/91", + "HumanEval/122", + "HumanEval/75", + "HumanEval/134", + "HumanEval/142", + "HumanEval/149", + "HumanEval/102" + ], + "tape": "T0", + "conditions": { + "s0_eos": { + "fixed_budget_success": { + "count": 32, + "mean": 0.5, + "median": 0.5, + "min": 0.0, + "max": 1.0 + }, + "strict_complete_success": { + "count": 32, + "mean": 0.5, + "median": 0.5, + "min": 0.0, + "max": 1.0 + }, + "natural_eos": { + "count": 32, + "mean": 0.9375, + "median": 1.0, + "min": 0.0, + "max": 1.0 + }, + "generated_tokens": { + "count": 32, + "mean": 330.09375, + "median": 348.0, + "min": 97.0, + "max": 512.0 + }, + "task_outcomes": { + "assertion_failed": 10, + "extract_failed": 1, + "passed": 16, + "runtime_error": 4, + "timeout": 1 + } + }, + "s1_eos": { + "fixed_budget_success": { + "count": 32, + "mean": 0.5, + "median": 0.5, + "min": 0.0, + "max": 1.0 + }, + "strict_complete_success": { + "count": 32, + "mean": 0.5, + "median": 0.5, + "min": 0.0, + "max": 1.0 + }, + "natural_eos": { + "count": 32, + "mean": 0.9375, + "median": 1.0, + "min": 0.0, + "max": 1.0 + }, + "generated_tokens": { + "count": 32, + "mean": 308.9375, + "median": 322.5, + "min": 101.0, + "max": 512.0 + }, + "task_outcomes": { + "assertion_failed": 11, + "passed": 16, + "runtime_error": 4, + "timeout": 1 + } + }, + "s0_period": { + "fixed_budget_success": { + "count": 32, + "mean": 0.46875, + "median": 0.0, + "min": 0.0, + "max": 1.0 + }, + "strict_complete_success": { + "count": 32, + "mean": 0.46875, + "median": 0.0, + "min": 0.0, + "max": 1.0 + }, + "natural_eos": { + "count": 32, + "mean": 0.96875, + "median": 1.0, + "min": 0.0, + "max": 1.0 + }, + "generated_tokens": { + "count": 32, + "mean": 314.375, + "median": 318.5, + "min": 109.0, + "max": 512.0 + }, + "task_outcomes": { + "assertion_failed": 12, + "passed": 15, + "runtime_error": 3, + "syntax_error": 1, + "timeout": 1 + } + }, + "s1_period": { + "fixed_budget_success": { + "count": 32, + "mean": 0.375, + "median": 0.0, + "min": 0.0, + "max": 1.0 + }, + "strict_complete_success": { + "count": 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Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases of numbers less than or equal to 3, then checks divisibility by 2 and 3. After that, it checks divisibility by potential factors starting from 5, incrementing by 6 each time (since all primes are of the form 6k ± 1, for some k). This approach is more efficient than checking all numbers up to `n`.\n\nLet's test the function with the provided examples:\n\n```python\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441)) # False (It's not a prime number)\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThis should output the expected results, demonstrating that the function correctly identifies prime numbers.", + "text_sha256": "a67a91e68e66daeb85b311d38229cb163592363cfead1c7de9330477a10f2823", + "uniform_steps_consumed": 394, + "uniform_uint64_prefix_sha256": "f0bd4d1224daf1c4249b4eee1f5ecc426c677dd209ebf8f7bf4a51eab2997a22", + "uniform_uint64_first_eight_hex": [ + "72223be6d80669ef", + "41a829ee24b9f837", + "1fc9148ea2f2ac2c", + "f6349bcb6cec7b5b", + "bd0b252f46fec99d", + "ae62463483fd351b", + "836e54d1468e348e", + "e47b1da3da2685d8" + ], + "task_score": { + "candidate_sha256": "af9f7acecc15979fd07061448278bf3ebe4b8e865597307302c7b07d50711f44", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 161, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c6783406e90bf388721019684ddad1e7fb00ae8d7e28588fedc2098130fcfbe9", + "generated_tokens": 344, + "generated_token_ids": [ + 2158, + 6983, + 565, + 245, + 1604, + 317, + 9966, + 11, + 395, + 933, + 276, + 2341, + 565, + 359, + 643, + 688, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 338, + 9966, + 1604, + 317, + 245, + 3892, + 1604, + 6146, + 853, + 207, + 16, + 344, + 643, + 642, + 4864, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 1501, + 207, + 15, + 285, + 207, + 16, + 418, + 441, + 9966, + 5750, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 207, + 17, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 185, + 300, + 565, + 291, + 2318, + 207, + 17, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 1501, + 2428, + 750, + 1236, + 5750, + 418, + 441, + 9966, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 7361, + 327, + 8095, + 473, + 207, + 18, + 276, + 254, + 7742, + 4343, + 280, + 291, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 18, + 11, + 1098, + 7, + 77, + 746, + 15, + 13, + 20, + 8, + 919, + 207, + 16, + 11, + 207, + 17, + 1780, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 565, + 254, + 1604, + 317, + 2246, + 853, + 410, + 5929, + 276, + 207, + 16, + 11, + 279, + 588, + 1460, + 359, + 7578, + 2030, + 13813, + 13557, + 809, + 937, + 14180, + 565, + 254, + 1604, + 317, + 207, + 17, + 11, + 588, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 13, + 1494, + 521, + 750, + 1236, + 5750, + 11, + 359, + 7578, + 2030, + 13813, + 63, + 1373, + 657, + 418, + 69543, + 457, + 207, + 17, + 13, + 185, + 185, + 1988, + 8788, + 5750, + 11, + 254, + 1157, + 14180, + 327, + 8095, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 13557, + 1273, + 2030, + 77, + 63, + 317, + 69543, + 457, + 688, + 1604, + 279, + 437, + 3169, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 1273, + 642, + 8095, + 418, + 1503, + 11, + 254, + 1157, + 7578, + 2030, + 8173, + 12181, + 18359, + 344, + 2030, + 77, + 63, + 317, + 9966, + 13, + 100001 + ], + "generated_token_ids_sha256": "b2c8363abfa6d30542bf90f4924750fa841f7d7cd8f3f0a88c374d8e80657811", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To determine if a number is prime, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\nHere's the implementation of the `is_prime` function:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n # 0 and 1 are not prime numbers\n if n <= 1:\n return False\n # 2 is the only even prime number\n if n == 2:\n return True\n # All other even numbers are not prime\n if n % 2 == 0:\n return False\n # Check for factors from 3 to the square root of n\n for i in range(3, int(n**0.5) + 1, 2):\n if n % i == 0:\n return False\n return True\n```\n\nThis function first checks if the number is less than or equal to 1, in which case it returns `False`. It then checks if the number is 2, which is the only even prime number. For all other even numbers, it returns `False` because they are divisible by 2.\n\nFor odd numbers, the function checks for factors up to the square root of `n`. If `n` is divisible by any number in this range, it returns `False`. If no factors are found, the function returns `True`, indicating that `n` is prime.", + "text_sha256": "fe036392c0944af43093c06f0b2f8553068287ce73405f368674a5b4a2423e72", + "uniform_steps_consumed": 344, + "uniform_uint64_prefix_sha256": "de9901c9b1889c1035b55cf0017bd44f62482da64ae0366dac2b3a2d1b20d535", + "uniform_uint64_first_eight_hex": [ + "72223be6d80669ef", + "41a829ee24b9f837", + "1fc9148ea2f2ac2c", + "f6349bcb6cec7b5b", + "bd0b252f46fec99d", + "ae62463483fd351b", + "836e54d1468e348e", + "e47b1da3da2685d8" + ], + "task_score": { + "candidate_sha256": "a625920578060f13b235688dd9a5aaba49996581520c732ed26f3f82400bd66c", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 145, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "28a248f8e6baf3e910836ec1212882afd51ccef972a30d6306f604cd3fd10a10", + "generated_tokens": 420, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 11, + 395, + 933, + 276, + 2341, + 565, + 245, + 2028, + 1604, + 2030, + 77, + 63, + 317, + 6146, + 853, + 207, + 16, + 285, + 441, + 69543, + 457, + 688, + 1604, + 6146, + 853, + 207, + 16, + 285, + 2246, + 853, + 2030, + 77, + 13557, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 22193, + 254, + 3038, + 3863, + 327, + 5750, + 2246, + 853, + 410, + 5929, + 276, + 207, + 18, + 13, + 2928, + 11, + 359, + 14180, + 91971, + 3461, + 457, + 207, + 17, + 285, + 207, + 18, + 13, + 4128, + 344, + 11, + 359, + 14180, + 91971, + 3461, + 457, + 521, + 5750, + 280, + 254, + 1020, + 2030, + 21, + 74, + 61178, + 16, + 63, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 12181, + 372, + 521, + 9966, + 5750, + 481, + 330, + 10372, + 279, + 437, + 1020, + 13, + 1002, + 317, + 2853, + 331, + 254, + 1714, + 344, + 521, + 2170, + 12, + 6620, + 5750, + 481, + 330, + 1714, + 2894, + 881, + 6611, + 8095, + 11, + 285, + 565, + 245, + 1604, + 317, + 441, + 69543, + 457, + 207, + 17, + 410, + 207, + 18, + 11, + 359, + 1534, + 330, + 280, + 254, + 1020, + 2030, + 21, + 74, + 61178, + 16, + 63, + 327, + 742, + 10858, + 2030, + 74, + 13557, + 185, + 185, + 4160, + 6, + 82, + 1727, + 254, + 1157, + 366, + 254, + 4286, + 6987, + 25, + 185, + 185, + 10897, + 11338, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 21, + 1509, + 391, + 1501, + 14687, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 15, + 16, + 1509, + 663, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 16, + 1509, + 1418, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 18, + 19, + 19, + 16, + 1509, + 300, + 1501, + 14687, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 21, + 16, + 1509, + 1418, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 19, + 1509, + 391, + 1501, + 14687, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 1509, + 391, + 1501, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1023, + 2827, + 254, + 4061, + 2472, + 13, + 100001 + ], + "generated_token_ids_sha256": "4983d736318e2ce561be0fed7df5e8fe433eebded74c19e24776a412671244fb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `is_prime` function, we need to check if a given number `n` is greater than 1 and not divisible by any number greater than 1 and less than `n`. Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases for numbers less than or equal to 3. Then, it checks divisibility by 2 and 3. After that, it checks divisibility by all numbers of the form `6k ± 1` up to the square root of `n`, as all prime numbers can be expressed in this form. This is based on the fact that all non-prime numbers can be factored into smaller factors, and if a number is not divisible by 2 or 3, it must be of the form `6k ± 1` for some integer `k`.\n\nLet's test the function with the provided examples:\n\n```python\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441)) # False\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThis should output the expected results.", + "text_sha256": "8efdad55957d6bf90d84cf8d2efb6c26acbd44bb6321e4e8ca84481e2a62f222", + "uniform_steps_consumed": 420, + "uniform_uint64_prefix_sha256": "a32c0e28e279a00e2802ffc8e038febae73c8cc343e3fd69aab84319e0f107cb", + "uniform_uint64_first_eight_hex": [ + "72223be6d80669ef", + "41a829ee24b9f837", + "1fc9148ea2f2ac2c", + "f6349bcb6cec7b5b", + "bd0b252f46fec99d", + "ae62463483fd351b", + "836e54d1468e348e", + "e47b1da3da2685d8" + ], + "task_score": { + "candidate_sha256": 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We can use a nested loop to generate all possible combinations of three elements from the array. For each combination, we calculate the sum and check if it is divisible by 3. If it is, we increment a counter variable. Finally, we return the counter variable, which represents the number of valid triples.\n\nHere is the Python code to solve the problem:\n\n```python\ndef get_max_triples(n):\n a = [i * i - i + 1 for i in range(1, n + 1)]\n count = 0\n\n for i in range(n - 2):\n for j in range(i + 1, n - 1):\n for k in range(j + 1, n):\n if (a[i] + a[j] + a[k]) % 3 == 0:\n count += 1\n\n return count\n```\n\nLet's test the function with the given example:\n\n```python\nn = 5\nprint(get_max_triples(n)) # Output: 1\n```\n\nThe output is correct, and the function works as expected.", + "text_sha256": "bf9c99c9220a507da5d5e67fa8269bec692338412fdb44cc3816f42582e4549e", + "uniform_steps_consumed": 287, + "uniform_uint64_prefix_sha256": "ab162e6117da5bece72cde38d3ce5ff48ec6adff43a062e9d9ec4dee03c9023e", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + "fbf5f8232f400e83", + "007c6f72f1e0f53a", + "768d629b0bf982c8", + "b4b5f57950fc524e" + ], + "task_score": { + "candidate_sha256": "e6d7a448d5f42966fa44ee1d9e86973856eddf91b42d163d6ccf7acbd2c6d006", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 228, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "44e31b9bd850e04dc524a5087e67bc376f39039925cacda2af7eb27937d4a173", + "generated_tokens": 392, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 69422, + 280, + 254, + 3869, + 2030, + 64, + 63, + 285, + 2341, + 565, + 704, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 5512, + 395, + 418, + 6555, + 279, + 69422, + 1066, + 2030, + 72, + 459, + 523, + 459, + 530, + 12181, + 395, + 481, + 1330, + 457, + 36279, + 254, + 3869, + 2030, + 64, + 63, + 285, + 937, + 7502, + 1130, + 1184, + 359, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 276, + 8708, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 752, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1780, + 185, + 300, + 1501, + 35914, + 254, + 3869, + 245, + 366, + 254, + 2028, + 9452, + 185, + 300, + 245, + 403, + 40050, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 8, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 919, + 207, + 16, + 6635, + 185, + 251, + 185, + 300, + 1501, + 31794, + 254, + 3869, + 276, + 1099, + 359, + 7292, + 276, + 1275, + 69422, + 185, + 300, + 245, + 13, + 14318, + 826, + 185, + 251, + 185, + 300, + 1501, + 35914, + 254, + 1690, + 280, + 4640, + 69422, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 1184, + 254, + 3869, + 276, + 1275, + 4640, + 69422, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 77, + 570, + 207, + 17, + 1780, + 185, + 391, + 1501, + 35914, + 254, + 2555, + 280, + 254, + 1648, + 18038, + 185, + 391, + 2555, + 62, + 71261, + 403, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 72, + 919, + 207, + 16, + 60, + 919, + 245, + 58, + 72, + 919, + 207, + 17, + 60, + 185, + 391, + 1501, + 7361, + 565, + 254, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 185, + 391, + 565, + 2555, + 62, + 71261, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 595, + 1690, + 7324, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 185, + 4134, + 7, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 20, + 1509, + 207, + 1501, + 20154, + 25, + 207, + 16, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 1157, + 2030, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 63, + 588, + 4497, + 274, + 10858, + 2030, + 77, + 63, + 285, + 7578, + 254, + 1604, + 280, + 4640, + 69422, + 279, + 254, + 3869, + 2030, + 64, + 13557, + 809, + 1022, + 12655, + 254, + 3869, + 2030, + 64, + 63, + 1244, + 254, + 2028, + 9452, + 11, + 17314, + 359, + 11, + 285, + 937, + 91281, + 1184, + 359, + 276, + 1275, + 254, + 4640, + 69422, + 13, + 429, + 2555, + 280, + 1319, + 18038, + 317, + 10644, + 276, + 1019, + 565, + 359, + 317, + 245, + 4606, + 280, + 207, + 18, + 11, + 285, + 565, + 558, + 11, + 254, + 1690, + 317, + 18765, + 271, + 13, + 12226, + 11, + 254, + 1157, + 7578, + 254, + 1690, + 280, + 4640, + 69422, + 13, + 100001 + ], + "generated_token_ids_sha256": "6d2b0c45c73e2bec2e494150913e866f35f414e16a1248e776b468e78473dc65", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through all possible triples of the array `a` and check if their sum is a multiple of 3. Since we are interested in triples where `i < j < k`, we can start by sorting the array `a` and then iterating through it.\n\nHere's the Python code to solve the problem:\n\n```python\ndef get_max_triples(n):\n # Initialize the array a with the given formula\n a = [(i * i - i + 1) for i in range(1, n + 1)]\n \n # Sort the array to make it easier to find triples\n a.sort()\n \n # Initialize the count of valid triples\n count = 0\n \n # Iterate through the array to find valid triples\n for i in range(n - 2):\n # Initialize the sum of the current triple\n sum_triple = a[i] + a[i + 1] + a[i + 2]\n # Check if the sum is a multiple of 3\n if sum_triple % 3 == 0:\n count += 1\n \n return count\n\n# Example usage\nprint(get_max_triples(5)) # Output: 1\n```\n\nThis code defines the function `get_max_triples` which takes an integer `n` and returns the number of valid triples in the array `a`. It first creates the array `a` using the given formula, sorts it, and then iterates through it to find the valid triples. The sum of each triple is checked to see if it is a multiple of 3, and if so, the count is incremented. Finally, the function returns the count of valid triples.", + "text_sha256": "697da8224f76257cc14fa79ad25812c0aabb8ec891c0a0f518f18af9f68950b1", + "uniform_steps_consumed": 392, + "uniform_uint64_prefix_sha256": "5de10a3ef7dd135824b471bbd1b0b78d9757fde37fe33d4787a5a4934f369c5b", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + "fbf5f8232f400e83", + "007c6f72f1e0f53a", + "768d629b0bf982c8", + "b4b5f57950fc524e" + ], + "task_score": { + "candidate_sha256": "e00cb872f5f76ece08f26d24c2e1506e727977257d66b4433ff065bb03139e45", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 212, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec600c5ba2e9344a40d66fd2a9fd6a8b17c133af06e4a624b3fed14fe3105840", + "generated_tokens": 442, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 69422, + 280, + 254, + 3869, + 2030, + 64, + 63, + 285, + 2341, + 565, + 704, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 4462, + 6, + 82, + 254, + 3956, + 276, + 8708, + 254, + 2066, + 25, + 185, + 185, + 16, + 13, + 35914, + 274, + 3869, + 2030, + 64, + 63, + 280, + 3973, + 2030, + 77, + 63, + 1066, + 1319, + 3699, + 2030, + 64, + 58, + 72, + 60, + 63, + 317, + 10711, + 372, + 2030, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 13557, + 185, + 17, + 13, + 30068, + 387, + 1184, + 521, + 2198, + 3039, + 280, + 2030, + 72, + 63, + 473, + 207, + 16, + 276, + 2030, + 77, + 12, + 17, + 63, + 334, + 13074, + 395, + 418, + 2709, + 327, + 69422, + 2030, + 7, + 64, + 58, + 72, + 2717, + 245, + 58, + 73, + 2717, + 245, + 58, + 74, + 5855, + 63, + 1066, + 2030, + 72, + 459, + 523, + 459, + 530, + 63, + 633, + 185, + 18, + 13, + 1494, + 1319, + 2030, + 72, + 12181, + 43667, + 1184, + 521, + 2198, + 3039, + 280, + 2030, + 73, + 63, + 473, + 2030, + 72, + 10, + 16, + 63, + 276, + 2030, + 77, + 12, + 16, + 13557, + 185, + 19, + 13, + 1494, + 1319, + 5696, + 2030, + 7, + 72, + 11, + 523, + 8, + 12181, + 11462, + 254, + 2555, + 2030, + 1805, + 403, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 13557, + 185, + 20, + 13, + 7361, + 565, + 2030, + 1805, + 63, + 317, + 69543, + 457, + 207, + 18, + 13, + 1273, + 359, + 317, + 11, + 18765, + 245, + 7114, + 327, + 4640, + 69422, + 13, + 185, + 21, + 13, + 7898, + 254, + 7114, + 1166, + 13575, + 521, + 69422, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 23546, + 254, + 2330, + 3956, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 752, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1780, + 185, + 300, + 245, + 403, + 825, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 10, + 16, + 6635, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 12, + 16, + 1780, + 185, + 391, + 327, + 523, + 279, + 3169, + 7, + 72, + 10, + 16, + 11, + 291, + 1780, + 185, + 595, + 2555, + 62, + 4036, + 403, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 185, + 595, + 565, + 2555, + 62, + 4036, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 903, + 1690, + 7324, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 77, + 403, + 207, + 20, + 185, + 4134, + 7, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1509, + 207, + 1501, + 20154, + 1023, + 330, + 207, + 16, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 1157, + 2030, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 63, + 588, + 61927, + 254, + 6059, + 1604, + 280, + 69422, + 279, + 274, + 3869, + 2030, + 64, + 63, + 1066, + 254, + 2555, + 280, + 688, + 1853, + 4899, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 429, + 2203, + 8175, + 27467, + 946, + 276, + 1282, + 254, + 1157, + 366, + 2030, + 77, + 403, + 207, + 20, + 13557, + 100001 + ], + "generated_token_ids_sha256": "a7ffd6b8c68644ee05186e83d92a1986554694b48f5a170eeb6b9bacf308e4f0", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through all possible triples of the array `a` and check if their sum is a multiple of 3. Here's the approach to solve the problem:\n\n1. Initialize an array `a` of length `n` where each element `a[i]` is calculated as `i * i - i + 1`.\n2. Iterate through all possible values of `i` from 1 to `n-2` (since we are looking for triples `(a[i], a[j], a[k])` where `i < j < k`).\n3. For each `i`, iterate through all possible values of `j` from `i+1` to `n-1`.\n4. For each pair `(i, j)`, calculate the sum `sum = a[i] + a[j]`.\n5. Check if `sum` is divisible by 3. If it is, increment a counter for valid triples.\n6. Return the counter after checking all triples.\n\nHere's the Python code implementing the above approach:\n\n```python\ndef get_max_triples(n):\n a = [i * i - i + 1 for i in range(1, n+1)]\n count = 0\n \n for i in range(1, n-1):\n for j in range(i+1, n):\n sum_ij = a[i] + a[j]\n if sum_ij % 3 == 0:\n count += 1\n \n return count\n\n# Example usage:\nn = 5\nprint(get_max_triples(n)) # Output should be 1\n```\n\nThis code defines the function `get_max_triples` which calculates the maximum number of triples in an array `a` where the sum of any three elements is a multiple of 3. The example usage demonstrates how to call the function with `n = 5`.", + "text_sha256": "41ca3700a0017a57e53f97382f609ee1f592a55bfd007fbf14f46a6a44e5d1e4", + "uniform_steps_consumed": 442, + "uniform_uint64_prefix_sha256": "5ef41619f85fbefa05bc7af8989ccdba2d3bd8a38a1086897df77bbf4cb06944", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + "fbf5f8232f400e83", + "007c6f72f1e0f53a", + "768d629b0bf982c8", + "b4b5f57950fc524e" + ], + "task_score": { + "candidate_sha256": "6983d65ab9d733f92ee3749ef5f5aba3ee769551a6e52c934c9827f388441544", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 228, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "5562530a27f30d8a9d1e03593c6ba2813629a17924034ff1ac9f21b97b37e01b", + "generated_tokens": 512, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 69422, + 280, + 254, + 3869, + 2030, + 64, + 63, + 285, + 2341, + 565, + 704, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 5512, + 2030, + 64, + 58, + 72, + 60, + 63, + 317, + 254, + 2555, + 280, + 274, + 33246, + 4077, + 11, + 395, + 481, + 27734, + 254, + 5761, + 327, + 2030, + 64, + 58, + 72, + 60, + 63, + 457, + 1714, + 4815, + 636, + 2030, + 72, + 63, + 285, + 73690, + 254, + 17550, + 25, + 185, + 185, + 63, + 64, + 58, + 72, + 60, + 403, + 460, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 403, + 460, + 61, + 17, + 570, + 207, + 16, + 919, + 460, + 403, + 460, + 61, + 17, + 919, + 460, + 570, + 207, + 16, + 63, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 1275, + 69422, + 2030, + 7, + 64, + 58, + 72, + 2717, + 245, + 58, + 73, + 2717, + 245, + 58, + 74, + 5855, + 63, + 1108, + 344, + 2030, + 64, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 919, + 245, + 58, + 74, + 60, + 63, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 1002, + 2456, + 344, + 254, + 2555, + 280, + 688, + 984, + 4899, + 473, + 254, + 18038, + 1534, + 839, + 330, + 245, + 4606, + 280, + 207, + 18, + 11, + 1373, + 254, + 62226, + 280, + 207, + 18, + 418, + 6079, + 1090, + 4317, + 13, + 185, + 185, + 4160, + 6, + 82, + 3708, + 245, + 1157, + 276, + 11462, + 254, + 2555, + 280, + 688, + 984, + 4899, + 473, + 254, + 18038, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 460, + 11, + 523, + 1780, + 185, + 300, + 972, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 185, + 10897, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 20243, + 280, + 2030, + 72, + 12181, + 2030, + 73, + 12181, + 285, + 2030, + 74, + 63, + 1108, + 344, + 2030, + 72, + 459, + 523, + 459, + 530, + 63, + 285, + 2030, + 72, + 12181, + 2030, + 73, + 12181, + 285, + 2030, + 74, + 63, + 418, + 8492, + 13, + 1003, + 481, + 938, + 245, + 28772, + 7832, + 276, + 6347, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 752, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1780, + 185, + 300, + 245, + 403, + 825, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 919, + 207, + 16, + 6635, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 77, + 1780, + 185, + 391, + 327, + 523, + 279, + 3169, + 7, + 72, + 919, + 207, + 16, + 11, + 291, + 1780, + 185, + 595, + 327, + 530, + 279, + 3169, + 7, + 73, + 919, + 207, + 16, + 11, + 291, + 1780, + 185, + 903, + 565, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 460, + 11, + 523, + 8, + 3028, + 207, + 18, + 2318, + 207, + 15, + 285, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 460, + 11, + 530, + 8, + 3028, + 207, + 18, + 2318, + 207, + 15, + 285, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 523, + 11, + 530, + 8, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 1457, + 1690, + 7324, + 207, + 16, + 185, + 185, + 300, + 972, + 1690, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4310, + 5313, + 274, + 3869, + 2030, + 64, + 63, + 366, + 254, + 3039, + 10711, + 4299, + 276, + 254, + 2066, + 6161, + 285, + 937, + 91281, + 1184, + 521, + 2198, + 69422, + 11, + 21882, + 254, + 4866, + 1066, + 254, + 2555, + 280, + 688, + 984, + 4899, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 185, + 185, + 4160, + 6, + 82, + 1727, + 254, + 1157, + 366, + 254, + 2203, + 4286, + 25, + 185, + 185, + 10897 + ], + "generated_token_ids_sha256": "ca6207e139f1a855c42b8f48f01d6940041c8e3422e7db2341a2e783c346aded", + "hit_eos": false, + "stopped_at_max_new_tokens": true, + "text": " To solve this problem, we need to iterate through all possible triples of the array `a` and check if their sum is a multiple of 3. Since `a[i]` is the sum of an arithmetic series, we can simplify the expression for `a[i]` by factoring out `i` and simplifying the constants:\n\n`a[i] = i * i - i + 1 = i^2 - 1 + i = i^2 + i - 1`\n\nNow, we need to find triples `(a[i], a[j], a[k])` such that `a[i] + a[j] + a[k]` is a multiple of 3. This means that the sum of any two elements from the triple must also be a multiple of 3, because the multiples of 3 are closed under addition.\n\nLet's write a function to calculate the sum of any two elements from the triple:\n\n```python\ndef sum_of_two(a, i, j):\n return a[i] + a[j]\n```\n\nNow, we need to iterate through all possible combinations of `i`, `j`, and `k` such that `i < j < k` and `i`, `j`, and `k` are distinct. We can use a nested loop to achieve this:\n\n```python\ndef get_max_triples(n):\n a = [i * i - i + 1 for i in range(1, n + 1)]\n count = 0\n\n for i in range(n):\n for j in range(i + 1, n):\n for k in range(j + 1, n):\n if sum_of_two(a, i, j) % 3 == 0 and sum_of_two(a, i, k) % 3 == 0 and sum_of_two(a, j, k) % 3 == 0:\n count += 1\n\n return count\n```\n\nThis function initializes an array `a` with the values calculated according to the problem statement and then iterates through all possible triples, counting the ones where the sum of any two elements is a multiple of 3.\n\nLet's test the function with the example provided:\n\n```", + "text_sha256": "c29288e1e6dffbcfc7d61600a4b04469ee05de16e056d5c671574b1f55197900", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "e413be5d04b5e70d8854da8ce7fe368cbead80ae0f84f7c2fc3c51677f013dfd", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + 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The `isinstance(value, int)` check ensures that only values that are instances of the `int` type are included in the output list.", + "text_sha256": "d32dfb3c3c689a170d9ead38325a7ce7356dcdb971151ff85e6748add0c1b28c", + "uniform_steps_consumed": 189, + "uniform_uint64_prefix_sha256": "6cc2f09950b72af308d4bf4a4f9dd54be1ef3e097c22f8f8f73f189c51dc0368", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 123, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "3cfb93f9154faac528811f3f119081dc8fb77bc2562ea7fec6229f447344a156", + "generated_tokens": 212, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 276, + 43667, + 855, + 254, + 2782, + 1525, + 2030, + 9253, + 63, + 285, + 3433, + 889, + 1462, + 4899, + 344, + 418, + 280, + 1449, + 2030, + 572, + 13557, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 245, + 1525, + 46950, + 276, + 2606, + 245, + 761, + 1525, + 344, + 5312, + 889, + 254, + 26559, + 473, + 254, + 2782, + 1525, + 2030, + 9253, + 13557, + 429, + 2030, + 262, + 9666, + 7, + 2834, + 11, + 1098, + 64166, + 2341, + 18971, + 344, + 889, + 26559, + 418, + 5598, + 279, + 254, + 761, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "6faf844ccf7c6dbc008fe3318eb2dc0af6f7d09d89ab2620997a6b65478c239a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use a list comprehension to iterate over the input list `values` and include only those elements that are of type `int`. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to create a new list that includes only the integers from the input list `values`. The `isinstance(value, int)` check ensures that only integers are included in the new list.", + "text_sha256": "b09e5e0d2bd7d655d8e33bce3b59520d12b974d2cae9783b973e4e23a6c42eb1", + "uniform_steps_consumed": 212, + "uniform_uint64_prefix_sha256": "3ad20ee1c3cfb702a7b29704dbcaff891fd3f171271a4e21e22789b766103421", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "be7f8eaaba596aeb1a26f1d04183f77cfa8b116679b9ebddb90601107b5d700a", + "generated_tokens": 211, + "generated_token_ids": [ + 2158, + 6226, + 245, + 1525, + 280, + 688, + 12974, + 3039, + 327, + 26559, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 276, + 2606, + 245, + 761, + 1525, + 344, + 5312, + 889, + 254, + 26559, + 473, + 254, + 3632, + 1525, + 13, + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 245, + 1525, + 46950, + 276, + 43667, + 855, + 1319, + 3699, + 279, + 254, + 2030, + 9253, + 63, + 1525, + 13, + 429, + 2030, + 262, + 9666, + 7, + 2834, + 11, + 1098, + 64166, + 2341, + 18971, + 344, + 889, + 10858, + 3039, + 418, + 5598, + 279, + 254, + 761, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "ed35278778103db9f04614a06263d5af361cd61fd9fe3912001ac91dbf538d6a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To filter a list of any Python values for integers, you can use a list comprehension to create a new list that includes only the integers from the original list. Here's the implementation of the `filter_integers` function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to iterate over each element in the `values` list. The `isinstance(value, int)` check ensures that only integer values are included in the new list.", + "text_sha256": "ad20ec9afd2eadf3d276f42f618b748ac888c46eae59d4d9c8d6d169ecfa1e72", + "uniform_steps_consumed": 211, + "uniform_uint64_prefix_sha256": "c32b7fddb30249b271ca3f87cc46dc87c8dc24f88dd1bae6c64aa4ac069f04e9", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "HumanEval/158", + "domain": "code", + "label": "Python code", + "within_domain_index": 12, + "selection_rank": "0e666ab1219416c4d077a968c59fc89eb16d12432d4c2c211421e7675a6628e2", + "source_text_sha256": 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Define a helper function to calculate the number of unique characters in a word.\n2. Iterate through the list of words.\n3. For each word, calculate the number of unique characters and compare it with the maximum found so far.\n4. If the current word has more unique characters, update the maximum.\n5. If the current word has the same number of unique characters but comes lexicographically before the maximum, update the maximum.\n6. Return the word with the maximum number of unique characters.\n\nHere is the implementation of the `find_max` function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_word = \"\"\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_word = word\n elif unique_chars == max_unique_chars and word < max_word:\n max_word = word\n\n return max_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Output: \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Output: \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Output: \"aaaaaaa\"\n```\n\nThis function will return the word with the maximum number of unique characters, or an empty string if all words have the same number of unique characters.", + "text_sha256": "dfc802f499fdfa39f481022a55b73cd6a176c3a5422d0f788ff615f784309fdc", + "uniform_steps_consumed": 383, + "uniform_uint64_prefix_sha256": "ddb33653be9dd53cb550b752681b6e3ac8b6ba8026c435a738d7a29bf9531922", + "uniform_uint64_first_eight_hex": [ + "4149a7ec6658a9c5", + "f9d117c2edb03d73", + "348d138cb300807f", + "5a82ff5b90228f12", + "7240a8a7b204bd5c", + "8acdb844c4496df7", + "a986746e0724abd0", + "8437a202ed454c4c" + ], + "task_score": { + "candidate_sha256": "cb6bbbbea8971a601f026cf88f1208fd73a9175ddfd6bc96b64ea9fcd785e2f2", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 167, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c2fecd49df755e8b67944b609dd4b5e730644e309714d7ad0979cc7eb55451a7", + "generated_tokens": 387, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 30206, + 1157, + 276, + 11462, + 254, + 1604, + 280, + 4730, + 7445, + 279, + 245, + 1734, + 13, + 185, + 17, + 13, + 30068, + 387, + 1184, + 254, + 1525, + 280, + 3073, + 11, + 1244, + 254, + 30206, + 1157, + 276, + 6983, + 254, + 1604, + 280, + 4730, + 7445, + 327, + 1319, + 1734, + 13, + 185, + 18, + 13, + 14715, + 4184, + 280, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 19, + 13, + 1273, + 4606, + 3073, + 463, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 8887, + 768, + 79144, + 63401, + 285, + 972, + 254, + 634, + 344, + 3450, + 1022, + 13, + 185, + 185, + 4898, + 317, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1275, + 62, + 3978, + 7, + 10422, + 1780, + 185, + 300, + 977, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 1780, + 185, + 391, + 972, + 10389, + 7, + 1111, + 7, + 2687, + 1509, + 185, + 185, + 300, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 207, + 15, + 185, + 300, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 15202, + 185, + 185, + 300, + 327, + 1734, + 279, + 3073, + 25, + 185, + 391, + 4730, + 62, + 52553, + 403, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 8, + 185, + 391, + 565, + 4730, + 62, + 52553, + 1879, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 595, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 1734, + 185, + 391, + 23744, + 4730, + 62, + 52553, + 2318, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 1501, + 31094, + 79144, + 63401, + 185, + 595, + 565, + 1734, + 459, + 3044, + 62, + 19380, + 62, + 2687, + 25, + 185, + 903, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 903, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 1734, + 185, + 185, + 300, + 972, + 3044, + 62, + 19380, + 62, + 2687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 994, + 955, + 440, + 2612, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 2612, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 255, + 303, + 955, + 440, + 14600, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 255, + 303, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 28331, + 48950, + 955, + 440, + 7879, + 955, + 440, + 569, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 28331, + 48950, + 1, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 410, + 274, + 7137, + 2662, + 565, + 521, + 3073, + 463, + 254, + 1246, + 1604, + 280, + 4730, + 7445, + 13, + 100001 + ], + "generated_token_ids_sha256": "64d60661fc00c0223bf0b486e6ad97878c9171ff1945c4ae94732ef531ee6276", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Define a helper function to calculate the number of unique characters in a word.\n2. Iterate through the list of words, using the helper function to determine the number of unique characters for each word.\n3. Keep track of the word with the maximum number of unique characters.\n4. If multiple words have the maximum number of unique characters, compare them lexicographically and return the one that comes first.\n\nHere is the implementation of the function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_unique_word = \"\"\n\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_unique_word = word\n elif unique_chars == max_unique_chars:\n # Compare lexicographically\n if word < max_unique_word:\n max_unique_chars = unique_chars\n max_unique_word = word\n\n return max_unique_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Output: \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Output: \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Output: \"aaaaaaa\"\n```\n\nThis function will return the word with the maximum number of unique characters, or an empty string if all words have the same number of unique characters.", + "text_sha256": "4bf382df32f0270da16817eb8e2ebf2331ef1a850ee537958824c4cad2656801", + "uniform_steps_consumed": 387, + "uniform_uint64_prefix_sha256": "a78a9ce4237ef3a38a38d63103543f7dbfcf91b2049b75b866859f4502e6b2c4", + "uniform_uint64_first_eight_hex": [ + "4149a7ec6658a9c5", + "f9d117c2edb03d73", + "348d138cb300807f", + "5a82ff5b90228f12", + "7240a8a7b204bd5c", + "8acdb844c4496df7", + "a986746e0724abd0", + "8437a202ed454c4c" + ], + "task_score": { + "candidate_sha256": "4735e37ab89f7e593bf41fac6ad5d283582517d86b90c90f016fea1e44c69b0e", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 151, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ee31bf95a32a07b957fa91a798847294e2682f8b6fdd3c1cdac207962f6e8ec5", + "generated_tokens": 343, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 30206, + 1157, + 276, + 11462, + 254, + 1604, + 280, + 4730, + 7445, + 279, + 245, + 2662, + 13, + 185, + 17, + 13, + 30068, + 387, + 1184, + 254, + 1525, + 280, + 3073, + 11, + 1244, + 254, + 30206, + 1157, + 276, + 6983, + 254, + 1604, + 280, + 4730, + 7445, + 327, + 1319, + 1734, + 13, + 185, + 18, + 13, + 14715, + 4184, + 280, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 19, + 13, + 1273, + 4606, + 3073, + 463, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 8887, + 768, + 79144, + 63401, + 285, + 972, + 254, + 634, + 344, + 3450, + 1022, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 6386, + 62, + 3978, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1275, + 62, + 3978, + 7, + 10422, + 1780, + 185, + 300, + 977, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 1780, + 185, + 391, + 972, + 10389, + 7, + 1111, + 7, + 2687, + 1509, + 185, + 185, + 300, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 207, + 15, + 185, + 300, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 15202, + 185, + 185, + 300, + 327, + 1734, + 279, + 3073, + 25, + 185, + 391, + 4730, + 62, + 52553, + 403, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 8, + 185, + 391, + 565, + 4730, + 62, + 52553, + 1879, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 595, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 1734, + 185, + 185, + 300, + 972, + 3044, + 62, + 19380, + 62, + 2687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 994, + 955, + 440, + 2612, + 7290, + 1509, + 207, + 1501, + 12816, + 972, + 440, + 2612, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 255, + 303, + 955, + 440, + 14600, + 7290, + 1509, + 243, + 1501, + 12816, + 972, + 440, + 255, + 303, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 28331, + 48950, + 955, + 440, + 7879, + 955, + 440, + 569, + 7290, + 1509, + 300, + 1501, + 12816, + 972, + 440, + 28331, + 48950, + 1, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 410, + 274, + 7137, + 2662, + 565, + 521, + 3073, + 463, + 254, + 1246, + 1604, + 280, + 4730, + 7445, + 13, + 100001 + ], + "generated_token_ids_sha256": "b3fe45cbd93af2d7c6540ffc51b23774cc7c36ed133931c4752ff096bc7eeab5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Define a helper function to calculate the number of unique characters in a string.\n2. Iterate through the list of words, using the helper function to determine the number of unique characters for each word.\n3. Keep track of the word with the maximum number of unique characters.\n4. If multiple words have the maximum number of unique characters, compare them lexicographically and return the one that comes first.\n\nHere's the implementation of the `find_max` function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_unique_word = \"\"\n\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_unique_word = word\n\n return max_unique_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Should return \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Should return \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Should return \"aaaaaaa\"\n```\n\nThis function will return the word with the maximum number of unique characters, or an empty string if all words have the same number of unique characters.", + "text_sha256": "b2b57f911c237a2bf645b28f030f6ce3e13a406b244d1602eb1f4b10035fa9b2", + "uniform_steps_consumed": 343, + "uniform_uint64_prefix_sha256": "22682f26053893d446fc09a13d3874500b3f39b2f00eff904db7db0aab0c022f", + "uniform_uint64_first_eight_hex": [ + "4149a7ec6658a9c5", + "f9d117c2edb03d73", + "348d138cb300807f", + "5a82ff5b90228f12", + "7240a8a7b204bd5c", + "8acdb844c4496df7", + "a986746e0724abd0", + "8437a202ed454c4c" + ], + "task_score": { + "candidate_sha256": "f9171d1527c48009d751eeec0714531ddd6e813e342057b2d65b607aedba9493", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 167, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "5c4975cc9a74c18629c0aaf1fa5ab6a3236be6c55f391dc5f9e49ec1ccd83dd4", + "generated_tokens": 385, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 1157, + 2030, + 6386, + 62, + 3978, + 63, + 344, + 4497, + 245, + 1525, + 280, + 14404, + 372, + 2782, + 13, + 185, + 17, + 13, + 35914, + 245, + 5591, + 276, + 2240, + 4184, + 280, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 18, + 13, + 30068, + 387, + 1184, + 1319, + 1734, + 279, + 254, + 1525, + 13, + 185, + 19, + 13, + 1494, + 1319, + 1734, + 11, + 1690, + 254, + 1604, + 280, + 4730, + 7445, + 1244, + 245, + 845, + 276, + 4945, + 21882, + 52124, + 13, + 185, + 20, + 13, + 31094, + 254, + 1690, + 280, + 4730, + 7445, + 366, + 254, + 1648, + 6059, + 13, + 185, + 21, + 13, + 1273, + 254, + 1690, + 317, + 6146, + 11, + 3979, + 254, + 6059, + 285, + 254, + 5939, + 1734, + 13, + 185, + 22, + 13, + 4128, + 13575, + 521, + 3073, + 11, + 972, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 23, + 13, + 1273, + 745, + 418, + 4606, + 3073, + 366, + 254, + 1246, + 6059, + 1690, + 11, + 972, + 254, + 634, + 344, + 3450, + 1022, + 79144, + 63401, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1275, + 62, + 3978, + 7, + 10422, + 1780, + 185, + 300, + 977, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 1780, + 185, + 391, + 972, + 10389, + 7, + 1111, + 7, + 2687, + 1509, + 185, + 185, + 300, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 207, + 15, + 185, + 300, + 3044, + 62, + 2687, + 403, + 15202, + 185, + 300, + 327, + 1734, + 279, + 3073, + 25, + 185, + 391, + 4730, + 62, + 52553, + 403, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 8, + 185, + 391, + 565, + 4730, + 62, + 52553, + 1879, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 595, + 3044, + 62, + 2687, + 403, + 1734, + 185, + 185, + 300, + 972, + 3044, + 62, + 2687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 994, + 955, + 440, + 2612, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 2612, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 255, + 303, + 955, + 440, + 14600, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 255, + 303, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 28331, + 48950, + 955, + 440, + 7879, + 955, + 440, + 569, + 7290, + 1509, + 243, + 1501, + 20154, + 25, + 440, + 28331, + 48950, + 1, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 9695, + 8843, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 410, + 972, + 254, + 1022, + 1108, + 1734, + 565, + 745, + 418, + 4606, + 13, + 100001 + ], + "generated_token_ids_sha256": "5b5cdc874133cecbb1ef749af4ccf51e09e9b8cdf5b31b67297eef9d44d8a377", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to:\n\n1. Define a function `find_max` that takes a list of strings as input.\n2. Initialize a variable to keep track of the word with the maximum number of unique characters.\n3. Iterate through each word in the list.\n4. For each word, count the number of unique characters using a set to avoid counting duplicates.\n5. Compare the count of unique characters with the current maximum.\n6. If the count is greater, update the maximum and the corresponding word.\n7. After checking all words, return the word with the maximum number of unique characters.\n8. If there are multiple words with the same maximum count, return the one that comes first lexicographically.\n\nHere's the implementation of the function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_word = \"\"\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_word = word\n\n return max_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Output: \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Output: \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Output: \"aaaaaaa\"\n```\n\nThis function will correctly identify the word with the maximum number of unique characters, or return the first such word if there are multiple.", + "text_sha256": "9e4480974214c42267040bd1bcee457253b2ac0b9f04a68955f036900d0e8a63", + "uniform_steps_consumed": 385, + "uniform_uint64_prefix_sha256": 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"batch_prompt_tokens_after_left_padding": 93, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 3148091221036554768, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "80cf1a00648877e4863e14f41948088be5269e594b29b8b80f515497bc466611", + "cuda_device_sha256": [ + "580e25b4f1171d6762d654617377d066df6bdf07e2cb0d6905df53d1556e9b58" + ], + "cuda_combined_sha256": "ff35aa16879ea96b959cf0ca0735030fceee41b92d93c62c6089d9418dee6309" + }, + "rng_state_after": { + "cpu_sha256": "80cf1a00648877e4863e14f41948088be5269e594b29b8b80f515497bc466611", + "cuda_device_sha256": [ + "580e25b4f1171d6762d654617377d066df6bdf07e2cb0d6905df53d1556e9b58" + ], + "cuda_combined_sha256": "ff35aa16879ea96b959cf0ca0735030fceee41b92d93c62c6089d9418dee6309" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 212, + 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"generated_tokens": 212, + "generated_token_ids": [ + 429, + 1157, + 2030, + 1770, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 64166, + 317, + 4218, + 276, + 962, + 984, + 26559, + 2030, + 87, + 63, + 285, + 2030, + 88, + 13557, + 3159, + 11, + 745, + 317, + 245, + 1760, + 2189, + 279, + 254, + 6774, + 2612, + 13, + 429, + 6774, + 2612, + 1023, + 330, + 4473, + 279, + 298, + 15851, + 3176, + 3726, + 4807, + 11, + 441, + 91782, + 13, + 4462, + 317, + 254, + 24832, + 2627, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, 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However, there is a small error in the docstring. The docstring should be written in reStructuredText format, not markdown. Here is the corrected version:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function will return the sum of `x` and `y`. If you want to test this function, you can use the `doctest` module in Python. Here is an example:\n\n```python\nimport doctest\ndoctest.testmod()\n```\n\nIf the function is implemented correctly, this will not output anything. If there are any errors, it will print them out.", + "text_sha256": "464514ebc806a4504a8d8956690b31e4a751b560e6092f634cb979ba35b73f97", + "uniform_steps_consumed": 212, + "uniform_uint64_prefix_sha256": "5586d59ac43118c9fde47acbd4950b15250b68baa3c8ad8f19ca0db31a24510b", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7f940c04c638ecedb8a0b110cd4c8fbda36835d1034d50bf4f9ed58cb5deb480", + "generated_tokens": 206, + "generated_token_ids": [ + 429, + 1157, + 6525, + 340, + 4286, + 317, + 29444, + 13, + 4462, + 317, + 254, + 3938, + 1157, + 366, + 6792, + 24393, + 1319, + 697, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 185, + 300, + 4294, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 1193, + 2290, + 1376, + 25, + 429, + 1022, + 1604, + 185, + 300, + 1193, + 2290, + 320, + 25, + 429, + 1864, + 1604, + 185, + 300, + 1193, + 2136, + 25, + 429, + 2555, + 280, + 1376, + 285, + 320, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 2030, + 87, + 63, + 285, + 2030, + 88, + 12181, + 1572, + 280, + 588, + 1534, + 330, + 26559, + 13, + 809, + 7578, + 254, + 2555, + 280, + 1069, + 984, + 5750, + 13, + 429, + 1157, + 317, + 839, + 46334, + 366, + 245, + 1449, + 13357, + 327, + 2030, + 87, + 63, + 285, + 2030, + 88, + 63, + 276, + 5462, + 344, + 657, + 418, + 26559, + 11, + 285, + 245, + 1449, + 13357, + 327, + 254, + 1157, + 6, + 82, + 972, + 1437, + 276, + 10346, + 344, + 359, + 1023, + 330, + 274, + 10858, + 13, + 185, + 185, + 2054, + 481, + 938, + 437, + 1157, + 279, + 520, + 2985, + 837, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 4260, + 403, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 4134, + 7, + 4260, + 8, + 207, + 1501, + 20154, + 82, + 25, + 207, + 20, + 185, + 10897, + 100001 + ], + "generated_token_ids_sha256": "008f3ad4a12b00a3f513c570f2dc739527190fe68801d5bd189a1092fe374bd7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The function definition you provided is incomplete. Here is the complete function with comments explaining each part:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"\n Add two numbers x and y\n :param x: The first number\n :param y: The second number\n :return: The sum of x and y\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, `x` and `y`, both of which must be integers. It returns the sum of these two numbers. The function is also annotated with a type hint for `x` and `y` to ensure that they are integers, and a type hint for the function's return value to indicate that it should be an integer.\n\nYou can use this function in your code like this:\n\n```python\nresult = add(2, 3)\nprint(result) # Outputs: 5\n```", + "text_sha256": "213238db683b6d0fcf9af600e3a62162b62b1cc887759731aec572bf15045950", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "ed626c05e55d779e9f554cb9b1c948cd6af532e6b25c832287c9cb6c5ee0fcb6", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "04dac3702dd1e1bf4f2dad932656891f0010306634e92463c81e16cf76b3f812", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 77, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec54e0e01336904d56e9cc549161965f86745d0cd20077962b98e5c9cf832d37", + "generated_tokens": 164, + "generated_token_ids": [ + 429, + 2985, + 340, + 4286, + 317, + 245, + 1157, + 6525, + 327, + 7227, + 984, + 26559, + 13, + 3159, + 11, + 254, + 1157, + 317, + 7085, + 254, + 9674, + 280, + 254, + 4317, + 6225, + 13, + 4462, + 6, + 82, + 254, + 3938, + 1157, + 366, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 1572, + 280, + 1449, + 2030, + 572, + 12181, + 285, + 7578, + 274, + 10858, + 13, + 429, + 1157, + 317, + 4218, + 1244, + 254, + 2030, + 1558, + 63, + 25973, + 11, + 285, + 254, + 1449, + 28328, + 418, + 4286, + 1244, + 254, + 2030, + 1120, + 63, + 7086, + 13, + 429, + 6774, + 2612, + 5312, + 6987, + 280, + 946, + 254, + 1157, + 481, + 330, + 1222, + 285, + 856, + 359, + 1023, + 536, + 13, + 100001 + ], + "generated_token_ids_sha256": "08f88dd5e77ed5481a667f4d0cfc6449f52fb0f1a12073d58bc68b9767de276c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The code you provided is a function definition for adding two integers. However, the function is missing the implementation of the addition operation. Here's the complete function with the implementation:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, both of type `int`, and returns an integer. The function is defined using the `def` keyword, and the type hints are provided using the `->` operator. The docstring includes examples of how the function can be used and what it should do.", + "text_sha256": "dca7bf9a0e2c23bf7eea2d4f88e8bd84d70882addc41d2a237ba1425a03ab777", + "uniform_steps_consumed": 164, + "uniform_uint64_prefix_sha256": "260bc4175617088f1d1d7a9f5248a2230da1cd67ce4176c96ea75f656ece2d41", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "77c3060afe3b490baabdcdb1e01d32f9978db8d9dd2737366022e3240e1bc48e", + "generated_tokens": 85, + "generated_token_ids": [ + 429, + 1157, + 2030, + 1770, + 63, + 4497, + 984, + 4823, + 2030, + 87, + 63, + 285, + 2030, + 88, + 12181, + 1572, + 280, + 1449, + 2030, + 572, + 12181, + 285, + 7578, + 704, + 2555, + 13, + 429, + 1157, + 317, + 4218, + 366, + 245, + 6774, + 2612, + 344, + 5312, + 6987, + 280, + 895, + 8175, + 13, + 429, + 6987, + 418, + 33024, + 279, + 18038, + 17201, + 285, + 418, + 30971, + 372, + 2985, + 6792, + 13, + 429, + 6987, + 418, + 441, + 14658, + 372, + 697, + 280, + 254, + 1157, + 548, + 418, + 1222, + 276, + 15447, + 946, + 254, + 1157, + 481, + 330, + 2424, + 285, + 856, + 254, + 4061, + 2827, + 1023, + 330, + 13, + 100001 + ], + "generated_token_ids_sha256": "94bb19f2316d8aea241d9e4b402f87e833403e4f82b8dc49fded5009423e7842", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The function `add` takes two parameters `x` and `y`, both of type `int`, and returns their sum. The function is defined with a docstring that includes examples of its usage. The examples are enclosed in triple quotes and are formatted as code comments. The examples are not executed as part of the function but are used to demonstrate how the function can be called and what the expected output should be.", + "text_sha256": "504b2b0173a15c225dd33e87362cc01922ca3e62370056041d81d5f1bdd374d3", + "uniform_steps_consumed": 85, + "uniform_uint64_prefix_sha256": "bcf4821dd75ebaa973f9684fc2b7dd328010184f0ab71e06f234459def157d16", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "173e062bc4fbc6d5a34be891b4333188caf911c11a0d1c69bd24348300daeeb9", + "python_ast_parse": false, + "parse_error": { + "type": "SyntaxError", + "line": 1, + "offset": 5 + }, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "HumanEval/25", + "domain": "code", + "label": "Python code", + "within_domain_index": 20, + 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Initialize an empty list to store the prime factors.\n2. Start with the smallest prime factor, which is 2.\n3. While `n` is divisible by the current smallest prime factor, divide `n` by the factor and append it to the list.\n4. If the result of the division is not an integer, move to the next prime factor (which is 3).\n5. Repeat steps 3 and 4 until `n` is 1.\n6. Return the list of prime factors.\n\nHere's the implementation of the `factorize` function:\n\n```python\nfrom typing import List\n\ndef factorize(n: int) -> List[int]:\n factors = []\n while n % 2 == 0:\n factors.append(2)\n n //= 2\n f = 3\n while f * f <= n:\n while n % f == 0:\n factors.append(f)\n n //= f\n f += 2\n if n > 1:\n factors.append(n)\n return factors\n\n# Test cases\nprint(factorize(8)) # [2, 2, 2]\nprint(factorize(25)) # [5, 5]\nprint(factorize(70)) # [2, 5, 7]\n```\n\nThis code defines the `factorize` function and tests it with the provided examples. It uses a simple approach to factorize the number, starting with 2 and then checking odd numbers up to the square root of `n` if `n` is divisible by the current number. This is an efficient way to factorize the number because all factors are guaranteed to be found.", + "text_sha256": "d81312b06c87b423ec2ab5ba9ff7e112793ccaca0ea119e2c22811e3de2532f9", + "uniform_steps_consumed": 404, + "uniform_uint64_prefix_sha256": "ce2c67a4820a21d9b15de4caec5e3521024a34dc2614386fa5206fd97aefdcf0", + "uniform_uint64_first_eight_hex": [ + "311e9b73501e4528", + "008a096409dbb784", + "c56d511b081cf179", + "0ee5a0d6c4b49287", + "a82d619f652ddc0a", + "d6e2e30352db8823", + "78db051575db474b", + "910e379eddaf743b" + ], + "task_score": { + "candidate_sha256": "13a2d211df377913131159b04953cabe5ce13ea6cd2c0fab5bd9744974123800", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 174, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c4ba2171cdbfbba93c5700aaad2d462d207ed076d39529b28f1f9683d4715b4b", + "generated_tokens": 465, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 24511, + 945, + 63, + 1157, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 7361, + 565, + 254, + 2782, + 1604, + 2030, + 77, + 63, + 317, + 2246, + 853, + 207, + 17, + 11, + 279, + 588, + 1460, + 359, + 643, + 642, + 9966, + 8095, + 13, + 1273, + 2030, + 77, + 63, + 317, + 207, + 16, + 11, + 359, + 317, + 4828, + 276, + 463, + 642, + 9966, + 8095, + 13, + 185, + 17, + 13, + 35914, + 274, + 7137, + 1525, + 276, + 4743, + 254, + 9966, + 8095, + 13, + 185, + 18, + 13, + 35044, + 1184, + 2198, + 9966, + 8095, + 5872, + 473, + 207, + 17, + 13, + 185, + 19, + 13, + 5807, + 2030, + 77, + 63, + 317, + 69543, + 457, + 254, + 1648, + 9966, + 6088, + 11, + 18598, + 2030, + 77, + 63, + 457, + 254, + 9966, + 6088, + 285, + 13471, + 359, + 276, + 254, + 1525, + 280, + 8095, + 13, + 185, + 20, + 13, + 1273, + 254, + 8487, + 2030, + 77, + 63, + 317, + 1592, + 6146, + 853, + 207, + 16, + 11, + 4883, + 276, + 254, + 2112, + 9966, + 6088, + 13, + 185, + 21, + 13, + 1273, + 2030, + 77, + 63, + 6459, + 207, + 16, + 11, + 254, + 7832, + 10171, + 11, + 285, + 521, + 9966, + 8095, + 463, + 803, + 1503, + 13, + 185, + 22, + 13, + 7898, + 254, + 1525, + 280, + 9966, + 8095, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 24511, + 945, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 185, + 185, + 1558, + 6088, + 945, + 7, + 77, + 25, + 1098, + 8, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 565, + 291, + 459, + 207, + 17, + 25, + 185, + 391, + 972, + 9636, + 185, + 251, + 185, + 300, + 8095, + 403, + 9636, + 185, + 300, + 1477, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 391, + 8095, + 13, + 6880, + 7, + 17, + 8, + 185, + 391, + 291, + 1071, + 28, + 207, + 17, + 185, + 300, + 1477, + 291, + 1879, + 207, + 16, + 25, + 185, + 391, + 327, + 460, + 279, + 3169, + 7, + 18, + 11, + 1098, + 7, + 77, + 746, + 15, + 13, + 20, + 8, + 919, + 207, + 16, + 11, + 207, + 17, + 1780, + 185, + 595, + 1477, + 291, + 3028, + 460, + 2318, + 207, + 15, + 25, + 185, + 903, + 8095, + 13, + 6880, + 7, + 72, + 8, + 185, + 903, + 291, + 1071, + 28, + 460, + 185, + 391, + 565, + 291, + 1879, + 207, + 16, + 25, + 185, + 595, + 327, + 460, + 279, + 3169, + 7, + 18, + 11, + 291, + 919, + 207, + 16, + 11, + 207, + 17, + 1780, + 185, + 903, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 25, + 185, + 1457, + 8095, + 13, + 6880, + 7, + 72, + 8, + 185, + 1457, + 291, + 1071, + 28, + 460, + 185, + 1457, + 2973, + 185, + 300, + 972, + 8095, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 24511, + 945, + 7, + 23, + 1509, + 207, + 1501, + 825, + 17, + 11, + 207, + 17, + 11, + 207, + 17, + 60, + 185, + 4134, + 7, + 24511, + 945, + 7, + 17, + 20, + 1509, + 1501, + 825, + 20, + 11, + 207, + 20, + 60, + 185, + 4134, + 7, + 24511, + 945, + 7, + 22, + 15, + 1509, + 1501, + 825, + 17, + 11, + 207, + 20, + 11, + 207, + 22, + 60, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 1525, + 280, + 9966, + 8095, + 280, + 254, + 2028, + 10858, + 2030, + 77, + 63, + 279, + 254, + 1835, + 473, + 19621, + 276, + 8397, + 11, + 372, + 5734, + 279, + 254, + 6774, + 2612, + 13, + 100001 + ], + "generated_token_ids_sha256": "f51a0458d315ef671ae4b09f8b1bccbde38fb390afc7ed36f0be5b04e162da19", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `factorize` function, we need to follow these steps:\n\n1. Check if the input number `n` is less than 2, in which case it has no prime factors. If `n` is 1, it is considered to have no prime factors.\n2. Initialize an empty list to store the prime factors.\n3. Loop through possible prime factors starting from 2.\n4. While `n` is divisible by the current prime factor, divide `n` by the prime factor and append it to the list of factors.\n5. If the reduced `n` is still greater than 1, continue to the next prime factor.\n6. If `n` becomes 1, the loop ends, and all prime factors have been found.\n7. Return the list of prime factors.\n\nHere's the implementation of the `factorize` function:\n\n```python\nfrom typing import List\n\ndef factorize(n: int) -> List[int]:\n if n < 2:\n return []\n \n factors = []\n while n % 2 == 0:\n factors.append(2)\n n //= 2\n while n > 1:\n for i in range(3, int(n**0.5) + 1, 2):\n while n % i == 0:\n factors.append(i)\n n //= i\n if n > 1:\n for i in range(3, n + 1, 2):\n if n % i == 0:\n factors.append(i)\n n //= i\n break\n return factors\n\n# Test cases\nprint(factorize(8)) # [2, 2, 2]\nprint(factorize(25)) # [5, 5]\nprint(factorize(70)) # [2, 5, 7]\n```\n\nThis function will return the list of prime factors of the given integer `n` in the order from smallest to largest, as described in the docstring.", + "text_sha256": "5ee373af6c4d652e86d1bb387b627dbf33dd6c1675cd38dd7e679b3b59e2aa4f", + "uniform_steps_consumed": 465, + "uniform_uint64_prefix_sha256": "7c938af71bd57ff58c190e911e76d89c27f524ab12245e02790e8fff53ff684e", + 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we need to follow these steps:\n\n1. Initialize an empty list to store the prime factors.\n2. Start from the smallest prime number, 2, and check if it divides the given number `n`.\n3. If it does, add it to the list of factors and reduce `n` by `n // factor`.\n4. Repeat step 2 until `n` is no longer divisible by the current factor.\n5. Move to the next prime number and repeat steps 2-4 until `n` is 1.\n6. Return the list of prime factors.\n\nHere's the implementation of the `factorize` function:\n\n```python\nfrom typing import List\n\ndef is_prime(num: int) -> bool:\n \"\"\"Check if a number is prime.\"\"\"\n if num <= 1:\n return False\n for i in range(2, int(num**0.5) + 1):\n if num % i == 0:\n return False\n return True\n\ndef factorize(n: int) -> List[int]:\n factors = []\n for i in range(2, n + 1):\n while n % i == 0:\n factors.append(i)\n n //= i\n if is_prime(i):\n break\n return factors\n\n# Test cases\nprint(factorize(8)) # [2, 2, 2]\nprint(factorize(25)) # [5, 5]\nprint(factorize(70)) # [2, 5, 7]\n```\n\nThis code defines a helper function `is_prime` to check if a number is prime and then uses it within the `factorize` function to find the prime factors of a given number. The test cases at the end demonstrate the function with the expected results.", + "text_sha256": "58405b6b20bfdf57089056865dc9f2d8ee360609989a0d00c279399d4b18ba27", + "uniform_steps_consumed": 425, + "uniform_uint64_prefix_sha256": "ef1ecc96501edf3da0d69bc3b39f7767dc6575da0a733454e940bfc9f30b1947", + "uniform_uint64_first_eight_hex": [ + "311e9b73501e4528", + "008a096409dbb784", + "c56d511b081cf179", + "0ee5a0d6c4b49287", + "a82d619f652ddc0a", + "d6e2e30352db8823", + "78db051575db474b", + "910e379eddaf743b" + ], + "task_score": { + "candidate_sha256": "f54a34983f4c5ec89dff18f59a686aeec3bf10fc900a959d01cf605c0eab1fc6", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 174, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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Here's how you can do it:\n\n1. Check if there are more than three digits in the file name.\n2. Check if there is exactly one dot '.' in the file name.\n3. Check if the substring before the dot starts with a letter from the Latin alphabet and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions: 'txt', 'exe', or 'dll'.\n\nHere's the implementation of the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check for more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check for exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Split the file name by dots\n parts = file_name.split('.')\n \n # Check for the first part starting with a letter and not being empty\n if not re.match(r'^[A-Za-z][A-Za-z0-9]*$', parts[0]) or not parts[0]:\n return 'No'\n \n # Check for the second part being one of the allowed extensions\n if parts[1] not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, return 'Yes'\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to perform the checks. The `re.search` method is used to find any occurrence of four or more digits, and `re.match` is used to ensure that the first part of the filename starts with a letter and is not empty. The `count` method is used to check for exactly one dot, and the `in` keyword is used to verify that the second part of the filename is one of the allowed extensions.", + "text_sha256": "a14f772e5b2c7e2ecb54251503886bef617bb0ac415a63bf07a06e882ba7aa57", + "uniform_steps_consumed": 496, + "uniform_uint64_prefix_sha256": "a47cc33469183eabca131795498e94366af992340fca52396c2ac39b8e4836ec", + "uniform_uint64_first_eight_hex": [ + "b4a2cca90dd5e118", + "7cca1884225ce678", + "3d10c4c3ab1095ef", + "b00f28214e278347", + "e36a5d973d849fde", + "a427df5b2d660437", + "70719e8a724e0107", + "1df6721d134b941c" + ], + "task_score": { + "candidate_sha256": "d91380db0cffce0d5a8640f08fe244e6d716321050bdeeff3c4796d0089c2e38", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 276, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "947e4149013f250c97d299628a11541d04caf5c0c4868a2ccbc352887099fbf3", + "generated_tokens": 290, + "generated_token_ids": [ + 4462, + 6, + 82, + 245, + 12974, + 1157, + 344, + 14180, + 565, + 245, + 1761, + 1210, + 18880, + 254, + 7116, + 15075, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 1761, + 62, + 1531, + 62, + 4897, + 7, + 2810, + 62, + 1531, + 1780, + 185, + 300, + 1501, + 7361, + 327, + 691, + 853, + 1853, + 33325, + 185, + 300, + 565, + 298, + 13, + 2919, + 7, + 81, + 12850, + 67, + 90, + 19, + 40366, + 1185, + 1761, + 62, + 1531, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 327, + 5096, + 634, + 14090, + 185, + 300, + 565, + 1761, + 62, + 1531, + 13, + 4251, + 23242, + 2519, + 3485, + 207, + 16, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 327, + 245, + 4640, + 15799, + 285, + 30019, + 185, + 300, + 4373, + 403, + 1761, + 62, + 1531, + 13, + 7807, + 23242, + 2519, + 185, + 300, + 15799, + 403, + 4373, + 58, + 15, + 60, + 185, + 300, + 30019, + 403, + 4373, + 58, + 16, + 60, + 185, + 251, + 185, + 300, + 565, + 441, + 298, + 13, + 10107, + 7, + 81, + 44716, + 58, + 32, + 12, + 75110, + 12, + 89, + 6873, + 32, + 12, + 75110, + 12, + 89, + 15, + 12, + 24, + 37888, + 3, + 1185, + 15799, + 8, + 410, + 30019, + 441, + 279, + 12262, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 70854, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 972, + 655, + 5661, + 6, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 8500, + 13, + 9307, + 11993, + 207, + 1501, + 1997, + 655, + 5661, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 16, + 8500, + 13, + 35205, + 11993, + 1501, + 1997, + 655, + 3233, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 4252, + 14479, + 276, + 2341, + 327, + 254, + 6943, + 280, + 691, + 853, + 1853, + 33325, + 11, + 5096, + 634, + 14090, + 11, + 285, + 245, + 4640, + 15799, + 285, + 30019, + 13, + 809, + 7578, + 655, + 5661, + 6, + 565, + 521, + 4480, + 418, + 2011, + 11, + 285, + 655, + 3233, + 6, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "3511784c602312c9b9647212215ddad3e3c48fd5ce148f1fb8d954d9c223db1a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's a Python function that checks if a file name meets the specified criteria:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check for more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check for exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Check for a valid prefix and suffix\n parts = file_name.split('.')\n prefix = parts[0]\n suffix = parts[1]\n \n if not re.match(r'^[A-Za-z][A-Za-z0-9]*$', prefix) or suffix not in ['txt', 'exe', 'dll']:\n return 'No'\n \n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to check for the presence of more than three digits, exactly one dot, and a valid prefix and suffix. 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Here's the approach:\n\n1. Check if the file name contains more than three digits.\n2. Check if the file name contains exactly one dot.\n3. Check if the substring before the dot starts with a letter and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions ('txt', 'exe', 'dll').\n\nLet's implement the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if the file name contains more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if the file name contains exactly one dot\n if '.' not in file_name:\n return 'No'\n \n # Split the file name by the dot\n parts = file_name.split('.')\n \n # Check if the file name starts with a letter and is not empty\n if not parts[0].startswith(chr(97)) or not parts[0]:\n return 'No'\n \n # Check if the substring after the dot is one of the allowed extensions\n if parts[1].lower() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to check the conditions 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"stopped_at_max_new_tokens": false, + "text": " def file_name_check(file_name):\n import re\n \n # Check if there are more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if there is exactly one dot\n if re.search(r'\\.+', file_name):\n return 'No'\n \n # Check if the substring before the dot starts with a letter\n if not re.search(r'^[a-zA-Z]', file_name):\n return 'No'\n \n # Check if the substring after the dot is one of the specified extensions\n if file_name.split('.')[-1] not in ['txt', 'exe', 'dll']:\n return 'No'\n \n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No' (the name should start with a latin alphapet letter)", + "text_sha256": "c71101d9078d96b955aa3589fa454ff7395ce90ee5000237ec8d57ae788e7d5b", + "uniform_steps_consumed": 240, + "uniform_uint64_prefix_sha256": "d85f1c9daa7cb35da7413112ebb4dde8853fd0e8bda0bacc1f387c536010dcf0", + 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"c81cab1569494d0eb52a3e5053cc5a5ec6465d76910fd262468a2a01581795db", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the function `check_if_last_char_is_a_letter`:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Remove trailing whitespace from the string\n txt = txt.rstrip()\n \n # Check if the string is empty\n if not txt:\n return False\n \n # Check if the last character is an alphabetical character\n if not txt[-1].isalpha():\n return False\n \n # Check if the last alphabetical character is not part of a word\n if txt[-1].isalpha() and txt[-1].lower() in txt[:-1].split():\n return False\n \n return True\n\n# Test cases\nprint(check_if_last_char_is_a_letter(\"apple pie\")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"apple pi e\")) # ➞ True\nprint(check_if_last_char_is_a_letter(\"apple pi e \")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"\")) # ➞ False\n```\n\nThis function first strips any trailing whitespace from the input string. Then it checks if the last character is an alphabetical character by using the `isalpha()` method. If it is, the function then checks if it is part of a word by splitting the string into words and checking if the last character is in the resulting list. If the last character is not part of a word, the function returns `False`. If the last character is an alphabetical character and is not part of a word, the function returns `False`. Otherwise, it returns `True`.", + "text_sha256": "286853adb85195918caecdc5b032e7a5b85f9238966eeb50b0d0051d1947d028", + "uniform_steps_consumed": 390, + "uniform_uint64_prefix_sha256": "d4eaab957ea10b36957523cdc74b8d8b6ab6390133a43eac501ff1cb7a8aff39", + "uniform_uint64_first_eight_hex": [ + "d5ae684c7486e390", + "45e3c7d273a81b92", + "73bfdfc77b138081", + "cc537b0964a92c2d", + "5a66e8b02152b341", + "f284dbfcdd5bc3c4", + "dcb3b2a825a09c9a", + "9186fda133b7a642" + ], + "task_score": { + "candidate_sha256": "c033795db283fafcfd3ddb2762929069fd263a6a568c956af085f3fedbb1027f", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 215, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b57e0fa3d3e10bc2ebb421dbb384fa5bea4451067a1fc983d79f6be61472f35a", + "generated_tokens": 248, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 12974, + 2985, + 327, + 254, + 1157, + 2030, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2341, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 7, + 9307, + 1780, + 185, + 300, + 1501, + 17659, + 38506, + 9577, + 285, + 9813, + 254, + 2662, + 881, + 3073, + 185, + 300, + 3073, + 403, + 28350, + 13, + 23362, + 3453, + 7807, + 826, + 185, + 251, + 185, + 300, + 1501, + 4488, + 254, + 1562, + 1734, + 185, + 300, + 1562, + 62, + 2687, + 403, + 3073, + 17606, + 16, + 60, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 1562, + 3199, + 280, + 254, + 1562, + 1734, + 317, + 274, + 97689, + 3199, + 185, + 300, + 1501, + 285, + 441, + 697, + 280, + 245, + 1734, + 185, + 300, + 565, + 1562, + 62, + 2687, + 17606, + 16, + 2986, + 262, + 1694, + 826, + 285, + 441, + 1562, + 62, + 2687, + 17606, + 16, + 2986, + 262, + 1694, + 10935, + 185, + 391, + 972, + 10491, + 185, + 300, + 1979, + 25, + 185, + 391, + 972, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 25072, + 688, + 38506, + 9577, + 473, + 254, + 2782, + 2662, + 2030, + 9307, + 12181, + 937, + 40964, + 254, + 2662, + 881, + 3073, + 1244, + 254, + 2030, + 7807, + 46120, + 2052, + 13, + 809, + 937, + 95278, + 254, + 1562, + 1734, + 1244, + 2030, + 10422, + 17606, + 16, + 60, + 63, + 285, + 14180, + 565, + 254, + 1562, + 3199, + 280, + 344, + 1734, + 317, + 274, + 97689, + 3199, + 285, + 441, + 697, + 280, + 245, + 1734, + 1244, + 254, + 2030, + 262, + 1694, + 46120, + 2052, + 285, + 254, + 2030, + 262, + 1694, + 46120, + 2052, + 11, + 6357, + 13, + 1273, + 1572, + 4480, + 418, + 2011, + 11, + 359, + 7578, + 2030, + 8173, + 59970, + 6616, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 100001 + ], + "generated_token_ids_sha256": "30185955df38e485ca56a66448215d9901ebfbf396081c63c0f1979c83c82493", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the Python code for the function `check_if_last_char_is_a_letter`:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Remove trailing spaces and split the string into words\n words = txt.strip().split()\n \n # Get the last word\n last_word = words[-1]\n \n # Check if the last character of the last word is an alphabetical character\n # and not part of a word\n if last_word[-1].isalpha() and not last_word[-1].isalpha():\n return True\n else:\n return False\n```\n\nThis function first removes any trailing spaces from the input string `txt`, then splits the string into words using the `split()` method. It then retrieves the last word using `words[-1]` and checks if the last character of that word is an alphabetical character and not part of a word using the `isalpha()` method and the `isalpha()` method, respectively. If both conditions are met, it returns `True`; otherwise, it returns `False`.", + "text_sha256": "a3d87837a50955c324162393ef187cf306a15bf8df632f47c0d2af4d5d28a24e", + "uniform_steps_consumed": 248, + "uniform_uint64_prefix_sha256": "47ee8e07d0c1d6c06abbf2768781b1d7232b11b2f2feaf6228524973a3969501", + "uniform_uint64_first_eight_hex": [ + "d5ae684c7486e390", + "45e3c7d273a81b92", + "73bfdfc77b138081", + "cc537b0964a92c2d", + "5a66e8b02152b341", + "f284dbfcdd5bc3c4", + "dcb3b2a825a09c9a", + "9186fda133b7a642" + ], + "task_score": { + "candidate_sha256": "eed5ae6a557c675defa69ce4b13a8c7e4499bc6b598f8f3d232dec28092d57d8", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 199, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7210c29be547ae840811d59931029cc6f00c1e4bc567260bc4d6a9c44bfbca35", + "generated_tokens": 347, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 254, + 2662, + 473, + 254, + 1225, + 276, + 254, + 6278, + 11, + 13575, + 1319, + 3199, + 276, + 1019, + 565, + 359, + 317, + 274, + 97689, + 3199, + 334, + 24799, + 245, + 5371, + 410, + 245, + 2516, + 633, + 1273, + 395, + 1275, + 245, + 2516, + 11, + 395, + 15008, + 254, + 1610, + 280, + 254, + 7445, + 279, + 254, + 1734, + 13, + 1273, + 395, + 1275, + 274, + 97689, + 3199, + 344, + 317, + 441, + 245, + 2516, + 11, + 395, + 972, + 2030, + 13813, + 13557, + 1273, + 395, + 5934, + 254, + 6278, + 280, + 254, + 2662, + 1673, + 7526, + 1108, + 245, + 3199, + 11, + 395, + 972, + 2030, + 8173, + 13557, + 185, + 185, + 4898, + 317, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2341, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 7, + 9307, + 1780, + 185, + 300, + 1501, + 30068, + 387, + 473, + 254, + 1225, + 280, + 254, + 2662, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 6449, + 7, + 9307, + 8, + 570, + 207, + 16, + 11, + 570, + 16, + 11, + 570, + 16, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 317, + 274, + 97689, + 3199, + 410, + 245, + 2516, + 185, + 391, + 565, + 334, + 9307, + 58, + 72, + 2986, + 262, + 1694, + 826, + 410, + 28350, + 58, + 72, + 2986, + 262, + 3304, + 4698, + 285, + 441, + 28350, + 58, + 72, + 2986, + 262, + 3304, + 10935, + 185, + 595, + 972, + 10491, + 185, + 300, + 972, + 14687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 3837, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 10491, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 91390, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 2030, + 8173, + 63, + 565, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 285, + 441, + 697, + 280, + 245, + 1734, + 11, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "a661269c6c22fa8131b50b865815ea07200fa6f2818cb1833865d49767678fb1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through the string from the end to the beginning, checking each character to see if it is an alphabetical character (either a letter or a space). If we find a space, we skip the rest of the characters in the word. If we find an alphabetical character that is not a space, we return `False`. If we reach the beginning of the string without finding such a character, we return `True`.\n\nHere is the implementation of the function:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Iterate from the end of the string\n for i in range(len(txt) - 1, -1, -1):\n # Check if the character is an alphabetical character or a space\n if (txt[i].isalpha() or txt[i].isspace()) and not txt[i].isspace():\n return True\n return False\n\n# Test cases\nprint(check_if_last_char_is_a_letter(\"apple pie\")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"apple pi e\")) # ➞ True\nprint(check_if_last_char_is_a_letter(\"apple pi e \")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"\")) # ➞ False\n```\n\nThis function will return `True` if the last character is an alphabetical character and not part of a word, and `False` otherwise.", + "text_sha256": "a378069868ae642fd82dfd8f0c6169ba3a7fa38ef1daf7148f47d19d46c7b2a0", + "uniform_steps_consumed": 347, + "uniform_uint64_prefix_sha256": "88286f4f800a651741e3c97e34829ba126f6f8026ced0fae63b13f87cfd36513", + "uniform_uint64_first_eight_hex": [ + "d5ae684c7486e390", + "45e3c7d273a81b92", + "73bfdfc77b138081", + "cc537b0964a92c2d", + "5a66e8b02152b341", + "f284dbfcdd5bc3c4", + "dcb3b2a825a09c9a", + "9186fda133b7a642" + ], + "task_score": { + "candidate_sha256": "6b5260964d98bff0b118f64527d5b43db1970e6d673c6cee58848144a56f472d", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 215, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "824dffd7a1aff03646950c6d0a05aa5e81b6b9bf36782b99ba7178ed687223de", + "generated_tokens": 365, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 254, + 2662, + 473, + 254, + 1225, + 285, + 2341, + 565, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 13, + 1003, + 839, + 933, + 276, + 5462, + 344, + 254, + 3199, + 317, + 441, + 697, + 280, + 245, + 1734, + 11, + 588, + 2456, + 359, + 1023, + 441, + 330, + 5496, + 457, + 245, + 2516, + 13, + 4462, + 6, + 82, + 254, + 12974, + 1157, + 276, + 6347, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2341, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 7, + 9307, + 1780, + 185, + 300, + 1501, + 7361, + 565, + 254, + 2662, + 317, + 7137, + 185, + 300, + 565, + 441, + 28350, + 25, + 185, + 391, + 972, + 14687, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 473, + 254, + 1225, + 280, + 254, + 2662, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 6449, + 7, + 9307, + 8, + 570, + 207, + 16, + 11, + 570, + 16, + 11, + 570, + 16, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 317, + 274, + 97689, + 3199, + 185, + 391, + 565, + 441, + 28350, + 58, + 72, + 2986, + 262, + 1694, + 10935, + 185, + 595, + 4883, + 185, + 299, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 317, + 441, + 697, + 280, + 245, + 1734, + 185, + 391, + 565, + 460, + 2318, + 10389, + 7, + 9307, + 8, + 570, + 207, + 16, + 410, + 441, + 28350, + 58, + 72, + 919, + 207, + 16, + 2986, + 262, + 3304, + 10935, + 185, + 595, + 972, + 10491, + 185, + 251, + 185, + 300, + 1501, + 1273, + 642, + 1108, + 3199, + 317, + 1503, + 11, + 972, + 14687, + 185, + 300, + 972, + 14687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 3837, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 10491, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 91390, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 2030, + 8173, + 63, + 565, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 285, + 441, + 697, + 280, + 245, + 1734, + 11, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "e14af9de615021d5b0ba01f96526c3e8cdb2138ccdeab8f0984f373c891e5311", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through the string from the end and check if the last character is an alphabetical character. We also need to ensure that the character is not part of a word, which means it should not be followed by a space. Here's the Python function to achieve this:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Check if the string is empty\n if not txt:\n return False\n \n # Iterate from the end of the string\n for i in range(len(txt) - 1, -1, -1):\n # Check if the character is an alphabetical character\n if not txt[i].isalpha():\n continue\n \n # Check if the character is not part of a word\n if i == len(txt) - 1 or not txt[i + 1].isspace():\n return True\n \n # If no such character is found, return False\n return False\n\n# Test cases\nprint(check_if_last_char_is_a_letter(\"apple pie\")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"apple pi e\")) # ➞ True\nprint(check_if_last_char_is_a_letter(\"apple pi e \")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"\")) # ➞ False\n```\n\nThis function will return `True` if the last character is an alphabetical character and not part of a word, and `False` otherwise.", + "text_sha256": 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of fertiliser dispatched was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers.\nSo, the number of trucks that could not deliver was 20 trucks / 4 = 5 trucks.\n\nTherefore, the number of trucks that could deliver the fertiliser to the farmers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "97de02b801796eb63e5c1252f8add33f8d1e3fd8f162670ff628aba5b357182b", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "c88f0414d5acf871b880ef0c84cca55bda2b1fb6ccdaa5209128d61d457d51a3", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + 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delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\n\nHowever, a quarter of the trucks had mechanical failures and could not deliver the fertilisers. A quarter of 20 trucks is 20 trucks / 4 = 5 trucks.\n\nThese 5 trucks could not deliver their 5 trucks * 20 tons/truck = 100 tons of fertiliser.\n\nSo, the total amount of fertiliser that reached the farmers is 400 tons - 100 tons = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "c8ac1feee1090a6d354b2d01013a8bb70e83257e183923f551bb25d2bf447dc1", + "uniform_steps_consumed": 170, + "uniform_uint64_prefix_sha256": "f5f18f710d595643a458cac9bc3b571da1e37ea19b7f800619f16747bd903458", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + "69ea5b884b6a0571", + "247a75651427de8e", + "9359ca4ed87b496a", + "998012726a554156" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 131, 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fertiliser was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers.\nSo, the number of trucks that could not deliver the fertilisers was 20 trucks / 4 = 5 trucks.\n\nTherefore, the number of trucks that could deliver the fertilisers to the farmers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "0b4bdbbbdbc7816b7cb807aa3b1a1851330bf8b4e316dc9bdb4e5f849d4d9460", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "c88f0414d5acf871b880ef0c84cca55bda2b1fb6ccdaa5209128d61d457d51a3", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + 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"18792fc3b4667373a6685559983e595def2d7bc0d162729ffff4642695a37289", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\nA quarter of the trucks had mechanical failures, so 20 trucks / 4 = 5 trucks had mechanical failures.\nThe number of trucks that successfully delivered the fertiliser was 20 trucks - 5 trucks = 15 trucks.\nEach of these 15 trucks delivered 20 tons of fertiliser, so the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\nTherefore, the total number of tons of fertiliser that reached the farmers that day was 300 tons.\nThe answer is: 300", + "text_sha256": "3ff81782bd660044306d577f55c0380bc7ee6c9f9bb17509ed4bf08673cfef7b", + "uniform_steps_consumed": 186, + "uniform_uint64_prefix_sha256": 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17, + 14, + 20, + 280, + 254, + 3223, + 3744, + 11, + 558, + 362, + 27585, + 207, + 17, + 14, + 20, + 575, + 363, + 16, + 17, + 15, + 15, + 403, + 363, + 19, + 23, + 15, + 185, + 549, + 9325, + 3744, + 1166, + 53183, + 6, + 82, + 9423, + 317, + 363, + 16, + 17, + 15, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 22, + 17, + 15, + 185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 838, + 27585, + 207, + 17, + 14, + 18, + 575, + 363, + 22, + 17, + 15, + 403, + 363, + 19, + 23, + 15, + 185, + 549, + 3223, + 3744, + 280, + 53183, + 6, + 82, + 285, + 22938, + 6, + 23262, + 317, + 363, + 19, + 23, + 15, + 919, + 363, + 19, + 23, + 15, + 403, + 363, + 24, + 21, + 15, + 185, + 549, + 1610, + 280, + 254, + 3744, + 11, + 588, + 317, + 16769, + 2580, + 6, + 82, + 9423, + 11, + 317, + 363, + 16, + 17, + 15, + 15, + 570, + 363, + 24, + 21, + 15, + 403, + 363, + 17, + 19, + 15, + 185, + 14494, + 11, + 16769, + 2580, + 6, + 82, + 9423, + 317, + 363, + 17, + 19, + 15, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 19, + 15, + 100001 + ], + "generated_token_ids_sha256": "628cc9980e57e55e13ecd994a432fed9f8981ce3cbaf696acc3efe42ad829537", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan's investment is 2/5 of the total amount, so he invested 2/5 * $1200 = $480\nThe remaining amount after Dylan's investment is $1200 - $480 = $720\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480\nThe total amount of Dylan's and Frances' investments is $480 + $480 = $960\nThe rest of the amount, which is Skyler's investment, is $1200 - $960 = $240\nTherefore, Skyler's investment is $240\nThe answer is: 240", + "text_sha256": "9b40314bbd6a43c238cc9276b84a871ea42c3ba0ab15f2dd243192c97757b74c", + "uniform_steps_consumed": 168, + "uniform_uint64_prefix_sha256": "38c4bdd77cfb42aecdae1931881926760c63aa34db9260e8310c194b6172ff55", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + 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185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 838, + 27585, + 207, + 17, + 14, + 18, + 575, + 363, + 22, + 17, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 22938, + 6, + 9423, + 317, + 363, + 22, + 17, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 17, + 19, + 15, + 13, + 185, + 49702, + 2580, + 6, + 82, + 9423, + 35054, + 327, + 254, + 1610, + 11, + 558, + 16769, + 2580, + 6, + 82, + 9423, + 317, + 363, + 17, + 19, + 15, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 19, + 15, + 100001 + ], + "generated_token_ids_sha256": "2e79f872a9efd1422b7029855ec2414a48ba82f408c16d85483cad6c943fbb72", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan's investment is 2/5 of the total amount, so he invested 2/5 * $1200 = $480.\nThe remaining amount after Dylan's investment is $1200 - $480 = $720.\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480.\nThe remaining amount after Frances' investment is $720 - $480 = $240.\nSkyler's investment accounted for the rest, so Skyler's investment is $240.\nThe answer is: 240", + "text_sha256": "636a57b08599b3d5b284e2d228063c265ab7e5a1b8cd26110cc90af737f832a9", + "uniform_steps_consumed": 147, + "uniform_uint64_prefix_sha256": "485dbe6710fabc6811c13d3cdd8e40979329c8621b43e3eb57300ec8a0ce5c13", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + "f0157ded47e00848", + "954ae6135b2144a6", + "6866b86c9a7f34e1", + "37b4d5f1ea96986f", + "22a06b3069c6f579", + "587d52e3b3f570c0", + "7b6ab4c7f94e3d23" + ], + "task_score": { + "gold_final": "240", + "predicted_final": "240", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "8fe4d3e06e2505f356910ed51c14db8e427feeda95109fcd54d30375fa5521f0", + "generated_tokens": 147, + "generated_token_ids": [ + 53183, + 6, + 82, + 9423, + 438, + 207, + 17, + 14, + 20, + 280, + 254, + 3223, + 3744, + 11, + 558, + 362, + 27585, + 207, + 17, + 14, + 20, + 575, + 363, + 16, + 17, + 15, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 53183, + 6, + 82, + 9423, + 317, + 363, + 16, + 17, + 15, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 22, + 17, + 15, + 13, + 185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 838, + 27585, + 207, + 17, + 14, + 18, + 575, + 363, + 22, + 17, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 22938, + 6, + 9423, + 317, + 363, + 22, + 17, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 17, + 19, + 15, + 13, + 185, + 49702, + 2580, + 6, + 82, + 9423, + 35054, + 327, + 254, + 1610, + 11, + 558, + 16769, + 2580, + 6, + 82, + 9423, + 438, + 363, + 17, + 19, + 15, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 19, + 15, + 100001 + ], + "generated_token_ids_sha256": "9b41a45d50a1c03b843b2f843e3fd4dffe02244a7678ff1484fc472652c82f72", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan's investment was 2/5 of the total amount, so he invested 2/5 * $1200 = $480.\nThe remaining amount after Dylan's investment is $1200 - $480 = $720.\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480.\nThe remaining amount after Frances' investment is $720 - $480 = $240.\nSkyler's investment accounted for the rest, so Skyler's investment was $240.\nThe answer is: 240", + "text_sha256": "17a05a06aa13f6ba13ca534dc19dc7c387572bb9f8c6d4c4c28ce35a4896bbe4", + "uniform_steps_consumed": 147, + "uniform_uint64_prefix_sha256": "485dbe6710fabc6811c13d3cdd8e40979329c8621b43e3eb57300ec8a0ce5c13", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + 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15, + 13, + 185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 838, + 27585, + 207, + 17, + 14, + 18, + 575, + 363, + 22, + 17, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 3744, + 2116, + 276, + 330, + 27585, + 457, + 16769, + 2580, + 317, + 363, + 22, + 17, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 17, + 19, + 15, + 13, + 185, + 14494, + 11, + 16769, + 2580, + 6, + 82, + 9423, + 438, + 363, + 17, + 19, + 15, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 19, + 15, + 100001 + ], + "generated_token_ids_sha256": "dc3ff9e25291246c6080c7981c33c81cfcd2aed58dc0342f20477a111ef64601", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan's investment was 2/5 of the total amount, so he invested 2/5 * $1200 = $480.\nThe remaining amount after Dylan's investment is $1200 - $480 = $720.\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480.\nThe amount left to be invested by Skyler is $720 - $480 = $240.\nTherefore, Skyler's investment was $240.\nThe answer is: 240", + "text_sha256": "b42773967c15d8e430fdf387642edc063d3b3551791335fa05d039ae2140cfd7", + "uniform_steps_consumed": 140, + "uniform_uint64_prefix_sha256": "ad2ed88a2468120be49eaebe76cece14d543b0792f45677fca3230a044c861b2", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + "f0157ded47e00848", + "954ae6135b2144a6", + "6866b86c9a7f34e1", + "37b4d5f1ea96986f", + "22a06b3069c6f579", + "587d52e3b3f570c0", + "7b6ab4c7f94e3d23" + ], + "task_score": { + "gold_final": "240", + "predicted_final": "240", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0546", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 8, + "selection_rank": "01ebd6fb979d45e8755a234bffd810bc5ec36423c0fbd8bf344a799e5e0993a6", + "source_text_sha256": "8619c48853d9610e152a7525a70d157c33e2f3ec1f9bcc8b41f927324527d5f2", + 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549, + 3510, + 317, + 25, + 207, + 16, + 18, + 15, + 100001 + ], + "generated_token_ids_sha256": "dc49a0944bb1cce2edcf0a1858906e25766f50c5e78fc7fe076a6186bd1612ea", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, so she writes 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, so she writes another 52 letters + 13 letters = 65 letters.\nIn total, Elise has written 52 letters + 13 letters + 65 letters = 130 letters.\nThe answer is: 130", + "text_sha256": "b74ab335436dacf220649f16c1fc19376ea0635a89eb6957aaabf7ab76171df1", + "uniform_steps_consumed": 120, + "uniform_uint64_prefix_sha256": "df6abd8ee53a0af6e20f23b31ade74568aa5853ffac1f819a3b304071a6b585a", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "130", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e3b3469c7454a5423532ced0fd0006749e09fff43d0eae49944b4ba7106b6d4b", + "generated_tokens": 94, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "c2793629ec5becf56caa67a1d997bb53c07cdf5589803a5d19f1e053c20bae3c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which is 13 letters.\nFinally, she re-writes everything she has already written, which is 52 letters + 13 letters = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "3116145ed2b5ed561ba68c7a79b700246bc7f1008627a4ef29a94b4b4b3fdf32", + "uniform_steps_consumed": 94, + "uniform_uint64_prefix_sha256": "0c02c83f914bd3c079d2e7c707a5bbbdce2c1fa0bae17cdfaa158ff30365714c", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7005e757ffd6257eeb6b1ae0fe0f3fae9e81371cf31bc5dfc2b96f709c620b0e", + "generated_tokens": 107, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 334, + 17, + 21, + 473, + 254, + 1022, + 984, + 2602, + 919, + 207, + 16, + 18, + 473, + 254, + 3222, + 919, + 207, + 17, + 21, + 473, + 254, + 298, + 12, + 6451, + 633, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 919, + 207, + 20, + 17, + 403, + 207, + 24, + 16, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 24, + 16, + 100001 + ], + "generated_token_ids_sha256": "b9ce7eb06d113d2e8656685c8fffee61605557e9cff92c01c22f5c25a013cf07", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet twice, which is 26 letters.\nShe also writes half of the alphabet, which is 13 letters.\nFinally, she re-writes everything she has already written, which is another 52 letters (26 from the first two times + 13 from the half + 26 from the re-write).\nIn total, Elise has written 26 + 13 + 52 = 91 letters.\nThe answer is: 91", + "text_sha256": "d5e5c97e6357cdada4ff461d2889979eb0c3ef957ada1d217d826e62b5f6fbbd", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "8c6302885c86d20e29a26bd19f273f06c42b1be0f34cc0e3200ef5810f0b4a03", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "91", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "9d75edb70e038da357e44158e5306f5748bc88e7fc3ebf669989a0181027551c", + "generated_tokens": 107, + "generated_token_ids": [ + 93435, + 14870, + 254, + 3912, + 32628, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 5045, + 344, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 5312, + 254, + 207, + 17, + 21, + 9187, + 473, + 254, + 1022, + 984, + 24816, + 285, + 254, + 207, + 16, + 18, + 9187, + 473, + 254, + 4443, + 4078, + 13, + 185, + 3139, + 11, + 279, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 919, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 403, + 207, + 22, + 23, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 22, + 23, + 100001 + ], + "generated_token_ids_sha256": "71deb875dfce3e3053b6169be2774ec73baa256513256a7b75214a146fb4947a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the entire alphabet twice, which is 26 letters.\nShe also writes half of the alphabet once, which is 13 letters.\nAfter that, she re-writes everything she has already written, which includes the 26 letters from the first two rounds and the 13 letters from the third round.\nSo, in total, Elise has written 26 + 13 + 26 + 13 = 78 letters.\nThe answer is: 78", + "text_sha256": "838e953dca86cc4ac2dbe60151005143f09fcadc2db4daa74f8c8fabc8e9698a", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "8c6302885c86d20e29a26bd19f273f06c42b1be0f34cc0e3200ef5810f0b4a03", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "78", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0760", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 12, + "selection_rank": "0208e9afa6cd76d86a6e08fecb0736003ef967fa0a434352c3c4053fdd11b5a2", + "source_text_sha256": "65a55bc0c16200440b69c4cef6334f0a33798b1fd5a1c079300911ebccb75a06", + "source_characters": 219, + 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403, + 207, + 16, + 21, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 14494, + 11, + 207, + 16, + 21, + 1245, + 1378, + 344, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 21, + 100001 + ], + "generated_token_ids_sha256": "be807c966edfa34c177033030e292f740323a2a5ffb37bef771ba71c9a3d44bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 20% of 50 people think horse #2 will win, so 20/100 * 50 = 10 people think horse #2 will win.\nThe remaining people are 50 - 10 = 40 people.\n60% of the remaining people think horse #7 will win, so 60/100 * 40 = 24 people think horse #7 will win.\nThe rest of the people think horse #12 will win, so 40 - 24 = 16 people think horse #12 will win.\nTherefore, 16 people think that horse #12 will win.\nThe answer is: 16", + "text_sha256": "b3a11aacd5c64e35f5042470f32598d3804efe06e6e214cd4dcfba2d8bb6916b", + "uniform_steps_consumed": 157, + 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false, + "text": " 20% of 50 people think horse #2 will win, so 20/100 * 50 = 10 people think horse #2 will win.\nThe remaining people are 50 - 10 = 40 people.\n60% of the remaining people think horse #7 will win, so 60/100 * 40 = 24 people think horse #7 will win.\nThe rest of the people think horse #12 will win, so 40 - 24 = 16 people think horse #12 will win.\nTherefore, 16 people think that horse #12 will win.\nThe answer is: 16", + "text_sha256": "b3a11aacd5c64e35f5042470f32598d3804efe06e6e214cd4dcfba2d8bb6916b", + "uniform_steps_consumed": 157, + "uniform_uint64_prefix_sha256": "af1acbfc6581803d84552aaeebadb255a5dfb680b3fc867f1c927bf5f1b01404", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 88, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "dbfee38d37940e873552bbfad6f624e14c4b87fc8d1a0925825dca4329410086", + "generated_tokens": 150, + "generated_token_ids": [ + 207, + 17, + 15, + 4, + 280, + 207, + 20, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 11, + 558, + 207, + 17, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 20, + 15, + 403, + 207, + 16, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 13, + 185, + 549, + 9325, + 1245, + 418, + 207, + 20, + 15, + 570, + 207, + 16, + 15, + 403, + 207, + 19, + 15, + 1245, + 13, + 185, + 21, + 15, + 4, + 280, + 254, + 9325, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 11, + 558, + 207, + 21, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 19, + 15, + 403, + 207, + 17, + 19, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 13, + 185, + 549, + 1610, + 280, + 254, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 11, + 558, + 254, + 1604, + 280, + 1245, + 779, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 317, + 207, + 19, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 16, + 21, + 1245, + 13, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 21, + 3013, + 100001 + ], + "generated_token_ids_sha256": "5406ccd886aaa1e0169608f7cafa622c222443225660fb66af23e576a5c0695d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 20% of 50 people think horse #2 will win, so 20/100 * 50 = 10 people think horse #2 will win.\nThe remaining people are 50 - 10 = 40 people.\n60% of the remaining people think horse #7 will win, so 60/100 * 40 = 24 people think horse #7 will win.\nThe rest of the people think horse #12 will win, so the number of people who think horse #12 will win is 40 - 24 = 16 people.\nSo the answer is $\\boxed{16}$.", + "text_sha256": "9a032e1ffaa65f6e8aa2ec4b79a924453759cb8a05953ec5853bad9a610fcc9e", + "uniform_steps_consumed": 150, + "uniform_uint64_prefix_sha256": "32331206eff6a8e875cd4dd813525aa0f06c09b03ff699dd8c7b22739a09e334", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 104, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "657517f295b2085f2443ad0a71f8b39eb49782cb686610283c6149b87a68d2bb", + "generated_tokens": 179, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 13, + 207, + 17, + 15, + 4, + 280, + 207, + 20, + 15, + 1245, + 317, + 334, + 17, + 15, + 14, + 16, + 15, + 15, + 23348, + 20, + 15, + 403, + 207, + 16, + 15, + 1245, + 13, + 185, + 185, + 3139, + 11, + 745, + 418, + 207, + 20, + 15, + 570, + 207, + 16, + 15, + 403, + 207, + 19, + 15, + 1245, + 2116, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 13, + 207, + 21, + 15, + 4, + 280, + 254, + 9325, + 207, + 19, + 15, + 1245, + 317, + 334, + 21, + 15, + 14, + 16, + 15, + 15, + 23348, + 19, + 15, + 403, + 207, + 17, + 19, + 1245, + 13, + 185, + 185, + 3139, + 11, + 745, + 418, + 207, + 19, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 16, + 21, + 1245, + 2116, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 2428, + 254, + 9325, + 207, + 16, + 21, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 185, + 3139, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 21, + 3013, + 100001 + ], + "generated_token_ids_sha256": "c6a74b86ecaeb3bd774a2387e5af1e265d1c0af0c7c51952d6805941326ae29b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many people think horse #2 will win. 20% of 50 people is (20/100)*50 = 10 people.\n\nSo, there are 50 - 10 = 40 people left.\n\nNext, let's find out how many people think horse #7 will win. 60% of the remaining 40 people is (60/100)*40 = 24 people.\n\nSo, there are 40 - 24 = 16 people left.\n\nFinally, let's find out how many people think horse #12 will win. All the remaining 16 people think horse #12 will win.\n\nSo, the answer is $\\boxed{16}$.", + "text_sha256": "3e7043ca80254616d12317ab46253f932302a9caa52c07bc7c6e74e26aca901d", + "uniform_steps_consumed": 179, + "uniform_uint64_prefix_sha256": "7b7d7b5d3b1ee48f4f0ff8e35edd782230201c38738634a7df0f620cb8c4459e", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1050", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 16, + "selection_rank": "032013ab41bff5a0bd0eff093a92ef002a0dec6e348ebb5d723e58176574151a", + "source_text_sha256": "8af254886db4666b82ef6475cef3644fe4ed391d4eae588c13b19173d19f75ad", + "source_characters": 184, + "source_tokens": 46, + "prompt_tokens_by_condition": { + "s0_eos": 70, + "s1_eos": 86, + "s0_period": 70, + "s1_period": 86 + }, + "batch_prompt_tokens_after_left_padding": 86, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 4393388429752863038, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "cc5af54cb643f8b612cb7a5da3c0c9e5881286c53a9eb762ff24b18a0d0f0f6c", + "cuda_device_sha256": [ + "3b7983bf4b8d46b1b6f47e8bc9d6686f1c616ffe3a4fe56557a8e3426af71edd" + ], + "cuda_combined_sha256": "7a9363b2325d052f7bde5588790fed21fbb422190080f782a6937b8427defd4e" + }, + "rng_state_after": { + "cpu_sha256": "cc5af54cb643f8b612cb7a5da3c0c9e5881286c53a9eb762ff24b18a0d0f0f6c", + "cuda_device_sha256": [ + "3b7983bf4b8d46b1b6f47e8bc9d6686f1c616ffe3a4fe56557a8e3426af71edd" + ], + "cuda_combined_sha256": "7a9363b2325d052f7bde5588790fed21fbb422190080f782a6937b8427defd4e" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 125, + "uniform_uint64_sha256": "db63a3942e5dc072339a06ad43f3f0d8c507e421fa52365e7aedbbe33d0fb8eb", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "uniform_float32_first_eight": [ + 0.7724007368087769, + 0.43604961037635803, + 0.24303677678108215, + 0.27829453349113464, + 0.2006286382675171, + 0.7238835096359253, + 0.7300592064857483, + 0.10418114811182022 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 19.62344099400798, + "peak_cuda_memory_allocated_bytes": 28383629824, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e98dc0c8145a66a67515d1b4f370e93524d62044e2d5fa7ce6e96a517e36255", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "beb2f83427ab5af91303816204b0f541a846a00fdba5749cf0a7074f842d0b26", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6ad773a70875c1f7464f27152ed3995223a8a7b6f5b1361fe979deece32af041", + "generated_tokens": 122, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 13, + 185, + 1898, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 25, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 14494, + 11, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "ecbd88f6d536255cad05f70fe4e18b7f368da3da27767c33f549f0d898db85fb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers.\nTo find out how many kilometers she still needs to drive, we subtract the distance she has already driven from the total distance: 1955 - 1300 = 655 kilometers.\nTherefore, Bernice still needs to drive 655 kilometers.\nThe answer is: 655", + "text_sha256": "82bdba37106207905cebc015dc0ba1188faf908e64ed28168b09c6bb3c3b93ed", + "uniform_steps_consumed": 122, + "uniform_uint64_prefix_sha256": "8f0d55758e3d87fe0e040905abbe9715d34e02a17b02ba6f28ab5780cfb313b9", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "79ae0cf2887a0b4decd82a401d0ab0b7193b59685a8b2c1d931f9b68a3e70279", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "beb2f83427ab5af91303816204b0f541a846a00fdba5749cf0a7074f842d0b26", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "89c88d47315b40ac013df9dfdb518b2c9ab8e55c4d917ee3991d4676e0952ba4", + "generated_tokens": 125, + "generated_token_ids": [ + 11967, + 578, + 643, + 2571, + 11516, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 13, + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 481, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 1439, + 5645, + 19521, + 285, + 2006, + 4433, + 5183, + 13, + 185, + 185, + 14179, + 5013, + 403, + 207, + 16, + 24, + 20, + 20, + 49785, + 185, + 29712, + 2571, + 11516, + 403, + 207, + 18, + 17, + 20, + 49785, + 185, + 185, + 75536, + 5013, + 403, + 19008, + 5013, + 570, + 46547, + 2571, + 11516, + 185, + 75536, + 5013, + 403, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 18, + 17, + 20, + 185, + 75536, + 5013, + 403, + 207, + 16, + 21, + 18, + 15, + 49785, + 185, + 185, + 40673, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 21, + 18, + 15, + 49785, + 276, + 5934, + 2006, + 4433, + 5183, + 13, + 100001 + ], + "generated_token_ids_sha256": "004624477d47ad6e72bef09e0652bfa7d06b335e42b4132cdec0c2364808c0c5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice has already driven 325 kilometers for 4 days. To find out how many kilometers she still needs to drive, we can subtract the distance she has already driven from the total distance between San Diego and New York City.\n\nTotal distance = 1955 kilometers\nDistance already driven = 325 kilometers\n\nRemaining distance = Total distance - Distance already driven\nRemaining distance = 1955 - 325\nRemaining distance = 1630 kilometers\n\nBernice still needs to drive 1630 kilometers to reach New York City.", + "text_sha256": "7f23ded4320098529296bf76398f9f4388a46768ff32b790588ce710c65b9935", + "uniform_steps_consumed": 125, + "uniform_uint64_prefix_sha256": "db63a3942e5dc072339a06ad43f3f0d8c507e421fa52365e7aedbbe33d0fb8eb", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "1630", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0372", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 20, + "selection_rank": "038cd03fb9104a796adae4930a3b7eae24ea07906d0789b3ceecda2a338b3714", + "source_text_sha256": "7810cb6f7d1e2ec732197a85f05988002b179c41adfcc03895d287e4568c53b5", + "source_characters": 216, + "source_tokens": 50, + "prompt_tokens_by_condition": { + "s0_eos": 74, + "s1_eos": 90, + "s0_period": 74, + "s1_period": 90 + }, + "batch_prompt_tokens_after_left_padding": 90, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 6608818553950725218, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "a01d77df594116ef3d3ec3a7ad1ae0f828f11cf0c08443f315c455f17632f981", + "cuda_device_sha256": [ + "c97174ccdd02fa4f6c738c51c732da1bf9c13d0d2640337762b82cf63fb219ec" + ], + "cuda_combined_sha256": "9ce6cd3b458ab331b51755f653b5a5bb452d38e6cf13dead34dec09376c910e7" + }, + "rng_state_after": { + "cpu_sha256": "a01d77df594116ef3d3ec3a7ad1ae0f828f11cf0c08443f315c455f17632f981", + "cuda_device_sha256": [ + "c97174ccdd02fa4f6c738c51c732da1bf9c13d0d2640337762b82cf63fb219ec" + ], + "cuda_combined_sha256": "9ce6cd3b458ab331b51755f653b5a5bb452d38e6cf13dead34dec09376c910e7" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 144, + "uniform_uint64_sha256": "387d1f7a2bb6ce1c0fc6a6106dbbe0ed2eaf63760d26e4e6409985cd88392620", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "uniform_float32_first_eight": [ + 0.48332157731056213, + 0.8110373616218567, + 0.5346476435661316, + 0.9343377351760864, + 0.4606841206550598, + 0.2825394868850708, + 0.3054821193218231, + 0.6694387197494507 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 19.329942030017264, + "peak_cuda_memory_allocated_bytes": 28434503680, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 74, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "1da97d92811f80138a65295ddbbc96ff3f08a5ea5154f14ecaa09996ff9cc28e", + "generated_tokens": 136, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 838, + 661, + 12116, + 5561, + 344, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 1002, + 2456, + 838, + 661, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 280, + 12116, + 5561, + 331, + 67653, + 13, + 185, + 185, + 3139, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 254, + 2555, + 280, + 254, + 3821, + 838, + 661, + 331, + 95830, + 11, + 98084, + 11, + 285, + 67653, + 13, + 2608, + 317, + 207, + 18, + 919, + 207, + 17, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "ae3f631d9905a33b15d2943512ef6280d5fdba73c37f27aa08aa45c265a13449", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, she had dance practice that lasted twice as long as Tuesday's night class. This means she had 2 * 1 = 2 hours of dance practice on Saturdays.\n\nSo, the total hours she had dance practice in a week is the sum of the hours she had on Tuesdays, Thursdays, and Saturdays. That is 3 + 2 = 5 hours.\n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "ccf4a2217beade101ba4fa3ebc2eef43c7d67e000586267b7f4b4bd0123f95b6", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "a724d9ee6c759f88e9b21db3b3696a9ab0f46ccf2361ebfb0938ac2361744cee", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 90, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "dcd7dbde77f0a508cc0300b462237203873053146a6a711fb463931395e83157", + "generated_tokens": 136, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 838, + 661, + 12116, + 5561, + 344, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 2086, + 11, + 254, + 3821, + 838, + 661, + 331, + 67653, + 317, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 13, + 185, + 185, + 14494, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 254, + 2555, + 280, + 254, + 3821, + 838, + 661, + 331, + 95830, + 11, + 98084, + 11, + 285, + 67653, + 13, + 2608, + 317, + 207, + 18, + 919, + 207, + 17, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "b741538c8f6a5d48f6ceedac53e7546bc1043331e24a7db3c5065b05d38f5426", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, she had dance practice that lasted twice as long as Tuesday's night class. So, the hours she had on Saturdays is 2 * 1 = 2 hours.\n\nTherefore, the total hours she had dance practice in a week is the sum of the hours she had on Tuesdays, Thursdays, and Saturdays. That is 3 + 2 = 5 hours.\n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "eb43a7846ffcf7b8eba9c48cf1442385aee7cd076eafe0efc64511b128d4d3a7", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "a724d9ee6c759f88e9b21db3b3696a9ab0f46ccf2361ebfb0938ac2361744cee", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 74, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e4e785de08afa4e7cf9adb609b6f260991c0a93c34fbedb331a5acd988fa023", + "generated_tokens": 136, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 838, + 661, + 12116, + 5561, + 344, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 2086, + 11, + 254, + 3821, + 838, + 661, + 331, + 67653, + 317, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 13, + 185, + 185, + 14494, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 254, + 2555, + 280, + 254, + 3821, + 838, + 661, + 331, + 95830, + 11, + 98084, + 11, + 285, + 67653, + 13, + 2608, + 317, + 207, + 18, + 919, + 207, + 17, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "b741538c8f6a5d48f6ceedac53e7546bc1043331e24a7db3c5065b05d38f5426", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, she had dance practice that lasted twice as long as Tuesday's night class. So, the hours she had on Saturdays is 2 * 1 = 2 hours.\n\nTherefore, the total hours she had dance practice in a week is the sum of the hours she had on Tuesdays, Thursdays, and Saturdays. That is 3 + 2 = 5 hours.\n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "eb43a7846ffcf7b8eba9c48cf1442385aee7cd076eafe0efc64511b128d4d3a7", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "a724d9ee6c759f88e9b21db3b3696a9ab0f46ccf2361ebfb0938ac2361744cee", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 90, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b24187ffbe434e47eb1fb44bac03b1b0c6743610f5ae6d48d1335116729cca43", + "generated_tokens": 144, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 711, + 12116, + 5561, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 2086, + 11, + 254, + 3821, + 838, + 661, + 331, + 67653, + 317, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 13, + 185, + 185, + 14494, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 207, + 18, + 3821, + 334, + 36345, + 285, + 10967, + 8, + 919, + 207, + 17, + 3821, + 334, + 31188, + 8, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 11, + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 20, + 3821, + 245, + 2562, + 13, + 207, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "206c3c33c1a7b3cd577479655dab3642514e4540810c1171195930a14a46d475", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, her dance practice lasted twice as long as Tuesday's night class. So, the hours she had on Saturdays is 2 * 1 = 2 hours.\n\nTherefore, the total hours she had dance practice in a week is 3 hours (Tuesday and Thursday) + 2 hours (Saturday) = 5 hours.\n\nSo, Hallie had dance practice for 5 hours a week. \n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "371045a5a5587da121ca142b9f8e5d5eef9e6657edbfe7afe745ce058e3dd8c6", + "uniform_steps_consumed": 144, + "uniform_uint64_prefix_sha256": "387d1f7a2bb6ce1c0fc6a6106dbbe0ed2eaf63760d26e4e6409985cd88392620", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0584", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 24, + "selection_rank": 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Since 90 contacts last for 45 days, one pair of contacts will last for 45 days.\n\nNext, we need to find out how much one pair of contacts will cost. Each box contains 90 contacts and costs $100.00. So, the cost of one pair of contacts is $100.00 / 90 = $1.11 (rounded to two decimal places).\n\nNow, we need to find out how much two boxes of contacts will cost. Since each box costs $100.00 and there's a 10% discount, the cost of two boxes is $100.00 * 2 * (1 - 10%) = $100.00 * 2 * 0.9 = $180.00.\n\nFinally, we need to find out how much each pair of contacts will cost. Since two boxes of contacts cost $180.00 and contain 180 contacts, each pair of contacts will cost $180.00 / 180 = $1.00 (rounded to two decimal places).\n\nSo the answer is $\\boxed{1.00}$.", + "text_sha256": "868ec1af028f0882957ec2c43ddb007e3d2e0b5564e340a8c3f735a8ef066d7a", + "uniform_steps_consumed": 298, + "uniform_uint64_prefix_sha256": "0c3637ccf3b18985deb0d770e3558becac0b4146f4243ae249024ae8dccf8177", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "1", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ad076b8f47f0ee4c289a6db262490bc6f7eb603c46864e4fe2b9b512e56e857e", + "generated_tokens": 314, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 3458, + 457, + 3458, + 25, + 185, + 185, + 16, + 13, + 5904, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 1003, + 1006, + 344, + 207, + 24, + 15, + 18917, + 1865, + 279, + 207, + 16, + 4085, + 285, + 543, + 1562, + 327, + 207, + 19, + 20, + 2507, + 13, + 7536, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 17, + 2507, + 13, + 2086, + 11, + 473, + 634, + 4085, + 11, + 35264, + 481, + 752, + 207, + 19, + 20, + 12016, + 280, + 18917, + 13, + 185, + 185, + 17, + 13, + 12006, + 11, + 395, + 933, + 276, + 1275, + 636, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 13, + 1003, + 1006, + 344, + 1319, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 317, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 7536, + 11, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 4, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 2086, + 11, + 254, + 44986, + 4113, + 280, + 1319, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 18, + 13, + 5512, + 35264, + 53410, + 207, + 17, + 14253, + 11, + 254, + 3223, + 2295, + 280, + 254, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 19, + 13, + 12226, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 35264, + 5698, + 207, + 19, + 20, + 12016, + 280, + 18917, + 473, + 634, + 4085, + 11, + 285, + 362, + 53410, + 207, + 17, + 14253, + 11, + 362, + 5698, + 207, + 19, + 20, + 12016, + 575, + 207, + 17, + 403, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 7536, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "93961697cdf4e307cd7754bed29f24c42d02a725e25439dca6a243da1d3fb14f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step:\n\n1. First, we need to find out how many pairs of contacts Pete can get from one box. We know that 90 contacts come in 1 box and will last for 45 days. Therefore, each pair of contacts will last for 2 days. So, from one box, Pete can get 45 pairs of contacts.\n\n2. Next, we need to find out the cost of each pair of contacts. We know that each box costs $100.00 and is currently 10% off. Therefore, the discount is $100.00 * 10% = $10.00. So, the discounted price of each box is $100.00 - $10.00 = $90.00.\n\n3. Since Pete buys 2 boxes, the total cost of the contacts is $90.00 * 2 = $180.00.\n\n4. Finally, we need to find out how much each pair of contacts will cost. Since Pete gets 45 pairs of contacts from one box, and he buys 2 boxes, he gets 45 pairs * 2 = 90 pairs of contacts. Therefore, the cost of each pair of contacts is $180.00 / 90 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "936da001907465f80197763149523d10f730cf057c6269dd5df5dc03c3b41b99", + "uniform_steps_consumed": 314, + "uniform_uint64_prefix_sha256": "2e994d5f7bf5ea3d238049ff240c5c1897733400db8b017e7ab0cd4fa0ff01b5", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "bc813cda32f64b7749206be3d9705ad20c29336cb37ae7222a84b1f91cd01d51", + "generated_tokens": 290, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 2816, + 938, + 18917, + 285, + 1319, + 1491, + 3277, + 207, + 17, + 18917, + 11, + 634, + 4085, + 481, + 2774, + 207, + 24, + 15, + 14, + 17, + 403, + 207, + 19, + 20, + 12016, + 280, + 18917, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 11462, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 13, + 7915, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 548, + 359, + 6, + 82, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 2086, + 11, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 14, + 16, + 15, + 15, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 7536, + 11, + 254, + 44986, + 4113, + 280, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 19, + 20, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 19, + 20, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 254, + 3223, + 2295, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 5512, + 1319, + 4085, + 5410, + 207, + 19, + 20, + 12016, + 280, + 18917, + 11, + 35264, + 543, + 752, + 207, + 19, + 20, + 575, + 207, + 17, + 403, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 7536, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "d8bf77d7440c602d860a73b94dd6cbf309053af8fcd54ba2ed78878ce0a0a6be", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts Pete can get from one box. Since one box contains 90 single use contacts and each person needs 2 contacts, one box can provide 90/2 = 45 pairs of contacts.\n\nNext, let's calculate the cost of one pair of contacts. Each box costs $100.00, but it's currently 10% off. So, the discount is $100.00 * 10/100 = $10.00. Therefore, the discounted price of one box is $100.00 - $10.00 = $90.00. Since one box contains 45 pairs of contacts, the cost of one pair of contacts is $90.00 / 45 = $2.00.\n\nFinally, if Pete buys 2 boxes of contacts, the total cost is $90.00 * 2 = $180.00. Since each box contains 45 pairs of contacts, Pete will get 45 * 2 = 90 pairs of contacts. Therefore, the cost of each pair of contacts is $180.00 / 90 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "007a9c30ef7fdeb5af3b6b691f764f8bdb1b4f2be7ae52fe83be13e786d42e6f", + "uniform_steps_consumed": 290, + "uniform_uint64_prefix_sha256": "2f7b5fdf00bf847fc0449ebaf80034b60cab4f1b6cab65a4c707ee77f658fbb4", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "93038821b651753d36036db6907e535f920d4fab96dd48ecedf4771382a053c5", + "generated_tokens": 284, + "generated_token_ids": [ + 5904, + 11, + 395, + 933, + 276, + 6983, + 946, + 1313, + 12016, + 280, + 18917, + 418, + 279, + 634, + 4085, + 13, + 5512, + 207, + 24, + 15, + 2816, + 12, + 2355, + 18917, + 1865, + 279, + 634, + 4085, + 11, + 745, + 418, + 207, + 24, + 15, + 12016, + 280, + 18917, + 279, + 634, + 4085, + 13, + 185, + 185, + 7916, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 2507, + 6, + 5149, + 280, + 18917, + 35264, + 5698, + 473, + 634, + 4085, + 13, + 1003, + 1006, + 344, + 207, + 24, + 15, + 12016, + 280, + 18917, + 1562, + 857, + 207, + 19, + 20, + 2507, + 13, + 7536, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 857, + 207, + 17, + 2507, + 13, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 11462, + 254, + 2295, + 280, + 254, + 18917, + 513, + 1492, + 13, + 5512, + 1319, + 5696, + 280, + 18917, + 35051, + 207, + 17, + 2507, + 11, + 254, + 2295, + 513, + 5696, + 513, + 1492, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 334, + 672, + 2295, + 280, + 634, + 4085, + 8, + 13429, + 457, + 207, + 19, + 20, + 334, + 672, + 3223, + 1604, + 280, + 2507, + 6, + 5149, + 633, + 185, + 185, + 3139, + 11, + 254, + 2295, + 513, + 5696, + 513, + 1492, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 893, + 207, + 19, + 20, + 403, + 363, + 17, + 13, + 17, + 17, + 17, + 17, + 17, + 334, + 33035, + 276, + 2685, + 26984, + 6171, + 633, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 362, + 543, + 463, + 245, + 3223, + 280, + 207, + 17, + 575, + 207, + 24, + 15, + 403, + 207, + 16, + 23, + 15, + 12016, + 280, + 18917, + 13, + 185, + 185, + 14494, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 857, + 207, + 16, + 23, + 15, + 575, + 363, + 17, + 13, + 17, + 17, + 17, + 17, + 17, + 403, + 363, + 19, + 15, + 15, + 13, + 15, + 15, + 334, + 33035, + 276, + 254, + 17016, + 1793, + 633, + 185, + 185, + 3139, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 35264, + 363, + 19, + 15, + 15, + 13, + 15, + 15, + 13, + 100001 + ], + "generated_token_ids_sha256": "da9fed9acdd7eb4c1fefc1aa3a6706ee6ed1725b51b5cdc57b4139eb5ecb37c2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, we need to determine how many pairs of contacts are in one box. Since 90 single-use contacts come in one box, there are 90 pairs of contacts in one box.\n\nNext, we need to find out how many days' supply of contacts Pete gets from one box. We know that 90 pairs of contacts last him 45 days. Therefore, each pair of contacts will last him 2 days.\n\nNow, we need to calculate the cost of the contacts per day. Since each pair of contacts lasts 2 days, the cost per pair per day is $100.00 (the cost of one box) divided by 45 (the total number of days' supply).\n\nSo, the cost per pair per day is $100.00 / 45 = $2.22222 (rounded to four decimal places).\n\nFinally, if Pete buys 2 boxes of contacts, he will have a total of 2 * 90 = 180 pairs of contacts.\n\nTherefore, each pair of contacts will cost him 180 * $2.22222 = $400.00 (rounded to the nearest cent).\n\nSo, each pair of contacts will cost Pete $400.00.", + "text_sha256": "ac417c0a0f9b528df03f9982028c2b2c194507c3fdd4b366a22310739baf60d2", + "uniform_steps_consumed": 284, + "uniform_uint64_prefix_sha256": "5fd9d140a5b45a8030db555ce676601891681d03f6b4e7b1be7f1011148e084b", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + 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0.8637199401855469, + 0.20081213116645813, + 0.031083164736628532, + 0.5818995237350464, + 0.9127194285392761 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 11.430111688008765, + "peak_cuda_memory_allocated_bytes": 28281879552, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 63, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "47f3dba39fdb7d42d3edd7325a9e18b749de9591013b52eea9873513a3a3be29", + "generated_tokens": 85, + "generated_token_ids": [ + 1273, + 82272, + 317, + 207, + 18, + 15, + 1555, + 1712, + 11, + 937, + 27107, + 317, + 207, + 18, + 15, + 919, + 207, + 20, + 403, + 207, + 18, + 20, + 1555, + 1712, + 13, + 185, + 2280, + 565, + 27107, + 317, + 207, + 18, + 20, + 1555, + 1712, + 11, + 937, + 20338, + 317, + 207, + 18, + 20, + 919, + 207, + 22, + 403, + 207, + 19, + 17, + 1555, + 1712, + 13, + 185, + 549, + 4334, + 1439, + 254, + 13205, + 280, + 20338, + 285, + 82272, + 317, + 207, + 19, + 17, + 570, + 207, + 18, + 15, + 403, + 207, + 16, + 17, + 1555, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 100001 + ], + "generated_token_ids_sha256": "736f1945483a0ca71d1b040b891c78960bbc0da1f994610a43b3eb7d2c799101", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If Erica is 30 years old, then Beth is 30 + 5 = 35 years old.\nAnd if Beth is 35 years old, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "cb15c9e72985dde11a1a746e1d40f63297b32bcb2c87cf786443c4fe1eead734", + "uniform_steps_consumed": 85, + "uniform_uint64_prefix_sha256": "bccc20f76ad664bdfa086fa16e9be888d474ad7118eb37ed7dac1ceaac0f0fe2", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + 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207, + 18, + 15, + 403, + 207, + 16, + 17, + 1555, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 100001 + ], + "generated_token_ids_sha256": "fdd7523b771b1a03b735cf19270b0045ddee5011814a02793759420a1fff6601", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If Erica is 30 years old, then Beth is 30 + 5 = 35 years old.\nAnd if Alice is 7 years older than Beth, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "9c47286f7775845c170cbaac5245767ab0883592470e5e236eb95df5f79d3e2f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "b725a9be32d60866c53ab8e33cefb7149e5910b3b0fe6acf6b7c0dd752193e7b", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + "07f510f4bb841543", + "94f75d925a21a9b8", + "e9a7faac59078945" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 63, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "4239198ed41ec8f995c30031e348694447dad4332cd997f84fb1c184759a0a6f", + "generated_tokens": 86, + "generated_token_ids": [ + 1273, + 82272, + 317, + 207, + 18, + 15, + 1555, + 1712, + 11, + 937, + 27107, + 317, + 207, + 18, + 15, + 919, + 207, + 20, + 403, + 207, + 18, + 20, + 1555, + 1712, + 13, + 185, + 2280, + 565, + 20338, + 317, + 207, + 22, + 1555, + 8097, + 853, + 27107, + 11, + 937, + 20338, + 317, + 207, + 18, + 20, + 919, + 207, + 22, + 403, + 207, + 19, + 17, + 1555, + 1712, + 13, + 185, + 549, + 4334, + 1439, + 254, + 13205, + 280, + 20338, + 285, + 82272, + 317, + 207, + 19, + 17, + 570, + 207, + 18, + 15, + 403, + 207, + 16, + 17, + 1555, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 100001 + ], + "generated_token_ids_sha256": "fdd7523b771b1a03b735cf19270b0045ddee5011814a02793759420a1fff6601", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If Erica is 30 years old, then Beth is 30 + 5 = 35 years old.\nAnd if Alice is 7 years older than Beth, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "9c47286f7775845c170cbaac5245767ab0883592470e5e236eb95df5f79d3e2f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "b725a9be32d60866c53ab8e33cefb7149e5910b3b0fe6acf6b7c0dd752193e7b", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + "07f510f4bb841543", + "94f75d925a21a9b8", + "e9a7faac59078945" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 79, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "8775947578322aa92d8b37f379d648573b54ae61549c77ec01a352d6c8189de0", + "generated_tokens": 86, + "generated_token_ids": [ + 1273, + 82272, + 317, + 207, + 18, + 15, + 1555, + 1712, + 11, + 937, + 27107, + 317, + 207, + 18, + 15, + 919, + 207, + 20, + 403, + 207, + 18, + 20, + 1555, + 1712, + 13, + 185, + 2280, + 565, + 20338, + 317, + 207, + 22, + 1555, + 8097, + 853, + 27107, + 11, + 937, + 20338, + 317, + 207, + 18, + 20, + 919, + 207, + 22, + 403, + 207, + 19, + 17, + 1555, + 1712, + 13, + 185, + 549, + 4334, + 1439, + 254, + 13205, + 280, + 20338, + 285, + 82272, + 317, + 207, + 19, + 17, + 570, + 207, + 18, + 15, + 403, + 207, + 16, + 17, + 1555, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 100001 + ], + "generated_token_ids_sha256": "fdd7523b771b1a03b735cf19270b0045ddee5011814a02793759420a1fff6601", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If Erica is 30 years old, then Beth is 30 + 5 = 35 years old.\nAnd if Alice is 7 years older than Beth, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "9c47286f7775845c170cbaac5245767ab0883592470e5e236eb95df5f79d3e2f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "b725a9be32d60866c53ab8e33cefb7149e5910b3b0fe6acf6b7c0dd752193e7b", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + "07f510f4bb841543", + "94f75d925a21a9b8", + "e9a7faac59078945" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + } + ], + "summary": { + "sources": 16, + "runs": 16, + "outputs": 64, + "natural_eos": 63, + "budget_truncated": 1, + "unique_generated_token_hashes": 59, + "torch_rng_unchanged_runs": 16, + "in_process_replay": { + "sources": 0, + "cells": 0, + "all_exact": 0, + "passed": null + }, + "by_domain": { + "code": { + "sources": 8, + "outputs": 32, + "natural_eos": 31, + "budget_truncated": 1, + "mean_generated_tokens": 314.96875 + }, + "math": { + "sources": 8, + "outputs": 32, + "natural_eos": 32, + "budget_truncated": 0, + "mean_generated_tokens": 154.53125 + } + } + }, + "claim_boundary": [ + "HumanEval and GSM8K are analyzed separately.", + "The main estimand is scoped to the frozen 32 selected tasks per domain under tape T0.", + "Selected-task bootstrap bands are not benchmark-population, model-ability, or seed-uncertainty intervals.", + "The explicit inverse-CDF sampler uses the official temperature/top-p distribution but is not the exact Transformers torch.multinomial trajectory.", + "Counterfactual period sequences are not official-valid chats.", + "Passing HumanEval tests is functional, not safety, evidence.", + "CPU-offloaded eager latency is not serving throughput." + ], + "content_hash": "3f7a619c7282750afca8de6095e524aa515040fb445c1a8c7e5a27926f3c2132" +} diff --git a/src/data/deepseek-v2-lite-chat-task-bootstrap-crn-reproduction.json b/src/data/deepseek-v2-lite-chat-task-bootstrap-crn-reproduction.json new file mode 100644 index 0000000..4b64d84 --- /dev/null +++ b/src/data/deepseek-v2-lite-chat-task-bootstrap-crn-reproduction.json @@ -0,0 +1,1192 @@ +{ + "schema_version": 1, + "protocol_id": "llm-atlas-deepseek-chat-task-bootstrap-crn-v1", + "formal": { + "path": "/tmp/deepseek-v2-lite-chat-task-bootstrap-formal.json", + "sha256": "ea0607f2b197fac3f794655c1538ce1f9a1cb072d637eb31d35573682e311809", + "content_hash": "ed849b2edab2598829f1b34efff6ceb0671ba5e0c65f6ebd824edea3f50ce531" + }, + "rerun": { + "path": "/tmp/deepseek-v2-lite-chat-task-bootstrap-replay.json", + "sha256": 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Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases of numbers less than or equal to 3, then checks divisibility by 2 and 3. After that, it checks divisibility by potential factors starting from 5, incrementing by 6 each time (since all primes are of the form 6k ± 1, for some k). This approach is more efficient than checking all numbers up to `n`.\n\nLet's test the function with the provided examples:\n\n```python\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441)) # False (It's not a prime number)\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThis should output the expected results, demonstrating that the function correctly identifies prime numbers.", + "text_sha256": "a67a91e68e66daeb85b311d38229cb163592363cfead1c7de9330477a10f2823", + "uniform_steps_consumed": 394, + "uniform_uint64_prefix_sha256": "f0bd4d1224daf1c4249b4eee1f5ecc426c677dd209ebf8f7bf4a51eab2997a22", + "uniform_uint64_first_eight_hex": [ + "72223be6d80669ef", + "41a829ee24b9f837", + "1fc9148ea2f2ac2c", + "f6349bcb6cec7b5b", + "bd0b252f46fec99d", + "ae62463483fd351b", + "836e54d1468e348e", + "e47b1da3da2685d8" + ], + "task_score": { + "candidate_sha256": "af9f7acecc15979fd07061448278bf3ebe4b8e865597307302c7b07d50711f44", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 161, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c6783406e90bf388721019684ddad1e7fb00ae8d7e28588fedc2098130fcfbe9", + "generated_tokens": 344, + "generated_token_ids": [ + 2158, + 6983, + 565, + 245, + 1604, + 317, + 9966, + 11, + 395, + 933, + 276, + 2341, + 565, + 359, + 643, + 688, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 338, + 9966, + 1604, + 317, + 245, + 3892, + 1604, + 6146, + 853, + 207, + 16, + 344, + 643, + 642, + 4864, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 1501, + 207, + 15, + 285, + 207, + 16, + 418, + 441, + 9966, + 5750, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 207, + 17, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 185, + 300, + 565, + 291, + 2318, + 207, + 17, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 1501, + 2428, + 750, + 1236, + 5750, + 418, + 441, + 9966, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 7361, + 327, + 8095, + 473, + 207, + 18, + 276, + 254, + 7742, + 4343, + 280, + 291, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 18, + 11, + 1098, + 7, + 77, + 746, + 15, + 13, + 20, + 8, + 919, + 207, + 16, + 11, + 207, + 17, + 1780, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 565, + 254, + 1604, + 317, + 2246, + 853, + 410, + 5929, + 276, + 207, + 16, + 11, + 279, + 588, + 1460, + 359, + 7578, + 2030, + 13813, + 13557, + 809, + 937, + 14180, + 565, + 254, + 1604, + 317, + 207, + 17, + 11, + 588, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 13, + 1494, + 521, + 750, + 1236, + 5750, + 11, + 359, + 7578, + 2030, + 13813, + 63, + 1373, + 657, + 418, + 69543, + 457, + 207, + 17, + 13, + 185, + 185, + 1988, + 8788, + 5750, + 11, + 254, + 1157, + 14180, + 327, + 8095, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 13557, + 1273, + 2030, + 77, + 63, + 317, + 69543, + 457, + 688, + 1604, + 279, + 437, + 3169, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 1273, + 642, + 8095, + 418, + 1503, + 11, + 254, + 1157, + 7578, + 2030, + 8173, + 12181, + 18359, + 344, + 2030, + 77, + 63, + 317, + 9966, + 13, + 100001 + ], + "generated_token_ids_sha256": "b2c8363abfa6d30542bf90f4924750fa841f7d7cd8f3f0a88c374d8e80657811", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To determine if a number is prime, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\nHere's the implementation of the `is_prime` function:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n # 0 and 1 are not prime numbers\n if n <= 1:\n return False\n # 2 is the only even prime number\n if n == 2:\n return True\n # All other even numbers are not prime\n if n % 2 == 0:\n return False\n # Check for factors from 3 to the square root of n\n for i in range(3, int(n**0.5) + 1, 2):\n if n % i == 0:\n return False\n return True\n```\n\nThis function first checks if the number is less than or equal to 1, in which case it returns `False`. It then checks if the number is 2, which is the only even prime number. For all other even numbers, it returns `False` because they are divisible by 2.\n\nFor odd numbers, the function checks for factors up to the square root of `n`. If `n` is divisible by any number in this range, it returns `False`. If no factors are found, the function returns `True`, indicating that `n` is prime.", + "text_sha256": "fe036392c0944af43093c06f0b2f8553068287ce73405f368674a5b4a2423e72", + "uniform_steps_consumed": 344, + "uniform_uint64_prefix_sha256": "de9901c9b1889c1035b55cf0017bd44f62482da64ae0366dac2b3a2d1b20d535", + "uniform_uint64_first_eight_hex": [ + "72223be6d80669ef", + "41a829ee24b9f837", + "1fc9148ea2f2ac2c", + "f6349bcb6cec7b5b", + "bd0b252f46fec99d", + "ae62463483fd351b", + "836e54d1468e348e", + "e47b1da3da2685d8" + ], + "task_score": { + "candidate_sha256": "a625920578060f13b235688dd9a5aaba49996581520c732ed26f3f82400bd66c", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 145, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "28a248f8e6baf3e910836ec1212882afd51ccef972a30d6306f604cd3fd10a10", + "generated_tokens": 420, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 11, + 395, + 933, + 276, + 2341, + 565, + 245, + 2028, + 1604, + 2030, + 77, + 63, + 317, + 6146, + 853, + 207, + 16, + 285, + 441, + 69543, + 457, + 688, + 1604, + 6146, + 853, + 207, + 16, + 285, + 2246, + 853, + 2030, + 77, + 13557, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 22193, + 254, + 3038, + 3863, + 327, + 5750, + 2246, + 853, + 410, + 5929, + 276, + 207, + 18, + 13, + 2928, + 11, + 359, + 14180, + 91971, + 3461, + 457, + 207, + 17, + 285, + 207, + 18, + 13, + 4128, + 344, + 11, + 359, + 14180, + 91971, + 3461, + 457, + 521, + 5750, + 280, + 254, + 1020, + 2030, + 21, + 74, + 61178, + 16, + 63, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 12181, + 372, + 521, + 9966, + 5750, + 481, + 330, + 10372, + 279, + 437, + 1020, + 13, + 1002, + 317, + 2853, + 331, + 254, + 1714, + 344, + 521, + 2170, + 12, + 6620, + 5750, + 481, + 330, + 1714, + 2894, + 881, + 6611, + 8095, + 11, + 285, + 565, + 245, + 1604, + 317, + 441, + 69543, + 457, + 207, + 17, + 410, + 207, + 18, + 11, + 359, + 1534, + 330, + 280, + 254, + 1020, + 2030, + 21, + 74, + 61178, + 16, + 63, + 327, + 742, + 10858, + 2030, + 74, + 13557, + 185, + 185, + 4160, + 6, + 82, + 1727, + 254, + 1157, + 366, + 254, + 4286, + 6987, + 25, + 185, + 185, + 10897, + 11338, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 21, + 1509, + 391, + 1501, + 14687, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 15, + 16, + 1509, + 663, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 16, + 1509, + 1418, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 18, + 19, + 19, + 16, + 1509, + 300, + 1501, + 14687, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 21, + 16, + 1509, + 1418, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 19, + 1509, + 391, + 1501, + 14687, + 185, + 4134, + 7, + 262, + 62, + 6620, + 7, + 16, + 1509, + 391, + 1501, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1023, + 2827, + 254, + 4061, + 2472, + 13, + 100001 + ], + "generated_token_ids_sha256": "4983d736318e2ce561be0fed7df5e8fe433eebded74c19e24776a412671244fb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `is_prime` function, we need to check if a given number `n` is greater than 1 and not divisible by any number greater than 1 and less than `n`. Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases for numbers less than or equal to 3. Then, it checks divisibility by 2 and 3. After that, it checks divisibility by all numbers of the form `6k ± 1` up to the square root of `n`, as all prime numbers can be expressed in this form. This is based on the fact that all non-prime numbers can be factored into smaller factors, and if a number is not divisible by 2 or 3, it must be of the form `6k ± 1` for some integer `k`.\n\nLet's test the function with the provided examples:\n\n```python\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441)) # False\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThis should output the expected results.", + "text_sha256": "8efdad55957d6bf90d84cf8d2efb6c26acbd44bb6321e4e8ca84481e2a62f222", + "uniform_steps_consumed": 420, + "uniform_uint64_prefix_sha256": "a32c0e28e279a00e2802ffc8e038febae73c8cc343e3fd69aab84319e0f107cb", + "uniform_uint64_first_eight_hex": [ + "72223be6d80669ef", + "41a829ee24b9f837", + "1fc9148ea2f2ac2c", + "f6349bcb6cec7b5b", + "bd0b252f46fec99d", + "ae62463483fd351b", + "836e54d1468e348e", + "e47b1da3da2685d8" + ], + "task_score": { + "candidate_sha256": 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Here's the approach:\n\n1. Check if `n` is less than or equal to 1. If it is, return `False` because numbers less than or equal to 1 are not prime.\n2. Iterate from 2 to the square root of `n` to check for divisors.\n3. For each number `i` in this range, check if `n` is divisible by `i`. If it is, return `False` because `n` is not prime.\n4. If no divisors are found, return `True` because `n` is prime.\n\nHere's the implementation of the `is_prime` function:\n\n```python\nimport math\n\ndef is_prime(n):\n if n <= 1:\n return False\n for i in range(2, int(math.sqrt(n)) + 1):\n if n % i == 0:\n return False\n return True\n\n# Test cases\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441))# True\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThis code will correctly identify prime numbers and return `True` for them, and `False` for non-prime numbers.", + "text_sha256": "e00a3febfd5d9ee1616fe3fae90d02fd1f4a6f0714be8be4e332e56a748e39e1", + "uniform_steps_consumed": 372, + "uniform_uint64_prefix_sha256": "61d91a354386b6d224e3a2a71da45dd86ccad5f782cda8cea9cfa1a53d63ebc5", + "uniform_uint64_first_eight_hex": [ + "3a2de99739da7f74", + "234fe1954d50f7f3", + "8b9025522b4e0c83", + "b2c33d31e99cb703", + "c780b14c5385e6fb", + "a6e50e12de4228c5", + "c4e451f4fecde3ef", + "271d0af5eb0d1eeb" + ], + "task_score": { + "candidate_sha256": "b2136fff933596bf74c3976c46823bc307ef98406bb3bfc2068e1a567822e811", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 161, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c6783406e90bf388721019684ddad1e7fb00ae8d7e28588fedc2098130fcfbe9", + "generated_tokens": 308, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 11, + 395, + 933, + 276, + 2341, + 565, + 245, + 2028, + 1604, + 2030, + 77, + 63, + 317, + 6146, + 853, + 207, + 16, + 285, + 441, + 69543, + 457, + 688, + 1604, + 2246, + 853, + 410, + 5929, + 276, + 895, + 7742, + 4343, + 13, + 1002, + 317, + 1373, + 245, + 5579, + 6088, + 280, + 254, + 1604, + 744, + 330, + 245, + 4606, + 280, + 6611, + 6088, + 344, + 643, + 2571, + 803, + 10644, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 16145, + 185, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 22193, + 254, + 3038, + 3863, + 280, + 5750, + 2246, + 853, + 410, + 5929, + 276, + 207, + 18, + 11, + 937, + 14180, + 91971, + 3461, + 457, + 207, + 17, + 285, + 207, + 18, + 13, + 4128, + 344, + 11, + 359, + 14180, + 91971, + 3461, + 457, + 521, + 5750, + 280, + 254, + 1020, + 2030, + 72, + 63, + 285, + 2030, + 72, + 919, + 207, + 17, + 12181, + 18765, + 272, + 2030, + 72, + 63, + 457, + 207, + 21, + 1319, + 766, + 276, + 15008, + 1236, + 5750, + 285, + 2341, + 889, + 8788, + 3968, + 8095, + 13, + 1002, + 317, + 2853, + 331, + 254, + 1714, + 344, + 521, + 9966, + 5750, + 481, + 330, + 10372, + 279, + 254, + 1020, + 2030, + 21, + 74, + 61178, + 16, + 12181, + 1066, + 2030, + 74, + 63, + 317, + 274, + 10858, + 13, + 100001 + ], + "generated_token_ids_sha256": "76f92f390f2116eafadafd360d749530c0d098d0bd2cc61c8d5921ad75576a5f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `is_prime` function, we need to check if a given number `n` is greater than 1 and not divisible by any number less than or equal to its square root. This is because a larger factor of the number would be a multiple of smaller factor that has already been checked.\n\nHere's the implementation:\n\n```python\nimport math\n\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases of numbers less than or equal to 3, then checks divisibility by 2 and 3. After that, it checks divisibility by all numbers of the form `i` and `i + 2`, incrementing `i` by 6 each time to skip even numbers and check only odd potential factors. 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If `n` is not divisible by any number in this range, it is prime. Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases of numbers less than or equal to 3, then checks divisibility by 2 and 3. After that, it checks divisibility by all numbers of the form `i` and `i + 2`, starting from 5 and incrementing by 6 each time, up to the square root of `n`. This is because a larger factor of `n` must be a multiple of a smaller factor that has already been checked.\n\nLet's test the function with the provided examples:\n\n```python\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441)) # False, as it's divisible by 107\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThe function should return the expected results based on the examples provided.", + "text_sha256": "25d690d176820a09729e5ddb031753e7120112c081349cfba48ed9a0d1eab658", + "uniform_steps_consumed": 431, + "uniform_uint64_prefix_sha256": "8d106c565a384a2be256f5c662a94440951852955bf97cb9b8d8c80222403ab6", + "uniform_uint64_first_eight_hex": [ + "3a2de99739da7f74", + "234fe1954d50f7f3", + "8b9025522b4e0c83", + "b2c33d31e99cb703", + "c780b14c5385e6fb", + "a6e50e12de4228c5", + "c4e451f4fecde3ef", + "271d0af5eb0d1eeb" + ], + "task_score": { + "candidate_sha256": 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254, + 7742, + 4343, + 280, + 2030, + 77, + 12181, + 18765, + 272, + 457, + 207, + 21, + 1319, + 766, + 334, + 13074, + 245, + 9966, + 1604, + 481, + 889, + 330, + 280, + 254, + 1020, + 207, + 21, + 74, + 61178, + 16, + 633, + 1273, + 2030, + 77, + 63, + 317, + 69543, + 457, + 688, + 280, + 1069, + 5750, + 11, + 359, + 7578, + 2030, + 13813, + 59970, + 6616, + 11, + 359, + 7578, + 2030, + 8173, + 13557, + 100001 + ], + "generated_token_ids_sha256": "8e231d4295ee9b08791c621698717fd7cb8301a18a035e90f939d8695d199506", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `is_prime` function, we need to check if a given number `n` is greater than 1 and has no divisors other than 1 and itself. Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n # A prime number is greater than 1\n if n <= 1:\n return False\n # 0 and 1 are not prime\n if n <= 3:\n return True\n # Multiples of 2 and 3 are not prime\n if n % 2 == 0 or n % 3 == 0:\n return False\n # Check for divisors from 5 to the square root of n\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first checks if `n` is less than or equal to 1, in which case it returns `False`. It then checks if `n` is 2 or 3, returning `True` in those cases. If `n` is a multiple of 2 or 3, it returns `False`. Otherwise, it checks for divisors starting from 5 up to the square root of `n`, incrementing by 6 each time (since a prime number can only be of the form 6k ± 1). If `n` is divisible by any of these numbers, it returns `False`; otherwise, it returns `True`.", + "text_sha256": "3fbad1d9739ea74beb5271c3c1fe6478d90e473b126e9d9517f165e2fb453d8e", + "uniform_steps_consumed": 358, + "uniform_uint64_prefix_sha256": "5feb68a953f054093fdc04c6048cfba0eb278721f6c32e8c29c73646eb7d1a53", + "uniform_uint64_first_eight_hex": [ + "eafd6ee0a30e5287", + "64c29f0f575bdba9", + "4d68e4ede30e7166", + "e1fd6db9de4be74c", + "b9fb8c4ff46a3e2a", + "cf3757e9d86de185", + "c7b6e191d841d801", + "0102f439f80d016f" + ], + "task_score": { + "candidate_sha256": "122b3a6829e529fa11072d2109aeffa728fd53573b3abcdb94dd23259c740f93", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 161, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c6783406e90bf388721019684ddad1e7fb00ae8d7e28588fedc2098130fcfbe9", + "generated_tokens": 281, + "generated_token_ids": [ + 2158, + 6983, + 565, + 245, + 1604, + 317, + 9966, + 11, + 395, + 933, + 276, + 2341, + 565, + 359, + 643, + 688, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 338, + 9966, + 1604, + 317, + 245, + 3892, + 1604, + 6146, + 853, + 207, + 16, + 344, + 643, + 642, + 4864, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 22193, + 254, + 3038, + 3863, + 280, + 5750, + 2246, + 853, + 410, + 5929, + 276, + 207, + 18, + 11, + 937, + 14180, + 91971, + 3461, + 457, + 207, + 17, + 285, + 207, + 18, + 13, + 4128, + 344, + 11, + 359, + 14180, + 91971, + 3461, + 457, + 521, + 5750, + 280, + 254, + 1020, + 207, + 21, + 74, + 61178, + 16, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 12181, + 372, + 521, + 9966, + 5750, + 418, + 280, + 437, + 1020, + 13, + 1002, + 317, + 2853, + 331, + 254, + 1714, + 344, + 521, + 2170, + 12, + 6620, + 5750, + 418, + 23465, + 285, + 481, + 330, + 1714, + 2894, + 881, + 6611, + 8095, + 13, + 100001 + ], + "generated_token_ids_sha256": "92a28b0a1a73336a9611408de50167c4a28c45e28f6c4928d9ac4aff9c0028c8", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To determine if a number is prime, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\nHere's the implementation of the `is_prime` function:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases of numbers less than or equal to 3, then checks divisibility by 2 and 3. After that, it checks divisibility by all numbers of the form 6k ± 1 up to the square root of `n`, as all prime numbers are of this form. This is based on the fact that all non-prime numbers are composite and can be factored into smaller factors.", + "text_sha256": "a5d81d64ffff053f2543b07b9a626cc622d2a71ae987123df2fb49997acfd375", + "uniform_steps_consumed": 281, + "uniform_uint64_prefix_sha256": "84e75d1ab213e32a67967c3e455acae3ff6c9b8a9ea599b558cfd122bc16dd63", + "uniform_uint64_first_eight_hex": [ + "eafd6ee0a30e5287", + "64c29f0f575bdba9", + "4d68e4ede30e7166", + "e1fd6db9de4be74c", + "b9fb8c4ff46a3e2a", + "cf3757e9d86de185", + "c7b6e191d841d801", + "0102f439f80d016f" + ], + "task_score": { + "candidate_sha256": "af9f7acecc15979fd07061448278bf3ebe4b8e865597307302c7b07d50711f44", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 145, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "28a248f8e6baf3e910836ec1212882afd51ccef972a30d6306f604cd3fd10a10", + "generated_tokens": 371, + "generated_token_ids": [ + 2158, + 6983, + 565, + 245, + 1604, + 317, + 9966, + 11, + 395, + 933, + 276, + 2341, + 565, + 359, + 643, + 688, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 338, + 9966, + 1604, + 317, + 245, + 3892, + 1604, + 6146, + 853, + 207, + 16, + 344, + 643, + 642, + 4864, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 22193, + 254, + 3252, + 3863, + 25, + 5750, + 2246, + 853, + 410, + 5929, + 276, + 207, + 16, + 418, + 441, + 9966, + 11, + 285, + 5750, + 2246, + 853, + 410, + 5929, + 276, + 207, + 18, + 418, + 9966, + 13, + 2928, + 359, + 14180, + 565, + 254, + 1604, + 317, + 69543, + 457, + 207, + 17, + 410, + 207, + 18, + 13, + 4128, + 344, + 11, + 359, + 5131, + 245, + 1477, + 7832, + 276, + 2341, + 91971, + 3461, + 457, + 521, + 5750, + 280, + 254, + 1020, + 207, + 21, + 74, + 61178, + 16, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 13557, + 1002, + 317, + 2853, + 331, + 254, + 1714, + 344, + 521, + 57813, + 418, + 280, + 254, + 1020, + 207, + 21, + 74, + 61178, + 16, + 11, + 366, + 254, + 7469, + 280, + 207, + 17, + 285, + 207, + 18, + 13, + 429, + 7832, + 60290, + 2030, + 72, + 63, + 457, + 207, + 21, + 1319, + 766, + 276, + 2341, + 254, + 2112, + 1604, + 280, + 254, + 1020, + 207, + 21, + 74, + 61178, + 16, + 13, + 1273, + 2030, + 77, + 63, + 317, + 69543, + 457, + 688, + 280, + 1069, + 5750, + 11, + 359, + 317, + 441, + 9966, + 11, + 285, + 254, + 1157, + 7578, + 2030, + 13813, + 13557, + 1273, + 642, + 77625, + 418, + 1503, + 11, + 254, + 1157, + 7578, + 2030, + 8173, + 12181, + 18359, + 344, + 2030, + 77, + 63, + 317, + 9966, + 13, + 100001 + ], + "generated_token_ids_sha256": "8b70af5734a61c50a74d61f2b6f83b36825ff8bdbe5f6aac3fe087869fbe9967", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To determine if a number is prime, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\nHere's the implementation of the `is_prime` function:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the base cases: numbers less than or equal to 1 are not prime, and numbers less than or equal to 3 are prime. Then it checks if the number is divisible by 2 or 3. After that, it uses a while loop to check divisibility by all numbers of the form 6k ± 1 up to the square root of `n`. This is based on the fact that all primes are of the form 6k ± 1, with the exception of 2 and 3. The loop increments `i` by 6 each time to check the next number of the form 6k ± 1. If `n` is divisible by any of these numbers, it is not prime, and the function returns `False`. If no divisors are found, the function returns `True`, indicating that `n` is prime.", + "text_sha256": "a10fd63a58a5077c5f3a6c909ba7fa46de7e6faa4ec31e1d9a6b1a33f72e9b13", + "uniform_steps_consumed": 371, + "uniform_uint64_prefix_sha256": "2e9f2299ae4df4e79cdaefd7016cc7e936f43eca5f2312451ffde8c584540018", + "uniform_uint64_first_eight_hex": [ + "eafd6ee0a30e5287", + "64c29f0f575bdba9", + "4d68e4ede30e7166", + "e1fd6db9de4be74c", + "b9fb8c4ff46a3e2a", + "cf3757e9d86de185", + "c7b6e191d841d801", + "0102f439f80d016f" + ], + "task_score": { + "candidate_sha256": "af9f7acecc15979fd07061448278bf3ebe4b8e865597307302c7b07d50711f44", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 161, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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Here's the implementation:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n```\n\nThis function first handles the special cases for numbers less than or equal to 3. Then it checks divisibility by 2 and 3. After that, it checks divisibility by all numbers of the form 6k ± 1 up to the square root of `n` to optimize the process. If `n` is divisible by any of these numbers, it returns `False`. If no divisors are found, it returns `True`.\n\nLet's test the function with the provided examples:\n\n```python\nprint(is_prime(6)) # False\nprint(is_prime(101)) # True\nprint(is_prime(11)) # True\nprint(is_prime(13441)) # False (This number is actually composite, not prime)\nprint(is_prime(61)) # True\nprint(is_prime(4)) # False\nprint(is_prime(1)) # False\n```\n\nThis should give the expected results. Note that the example for `is_prime(13441)` is incorrect because `13441` is not a prime number; it's actually a perfect square of 116.", + "text_sha256": "9bda9222aa03b828d513a8cc12d9d84ebe98efcd58d5dd33349eed628516d0a4", + "uniform_steps_consumed": 438, + "uniform_uint64_prefix_sha256": "06f46f93c72e4ec185755fa0447aba8751d6bc0628367f1dcfb84aaf059e1c7c", + "uniform_uint64_first_eight_hex": [ + "36d41c93224a26da", + "e0af483ccbc6c748", + "b8a56ca4b325819c", + "8953abf7c80d800c", + "54c2f705d811e752", + "3217ac6f5f1770be", + "e93de996a7fe0348", + "d15c49ea1a9cf4e1" + ], + "task_score": { + "candidate_sha256": "af9f7acecc15979fd07061448278bf3ebe4b8e865597307302c7b07d50711f44", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 161, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c6783406e90bf388721019684ddad1e7fb00ae8d7e28588fedc2098130fcfbe9", + "generated_tokens": 325, + "generated_token_ids": [ + 2158, + 6983, + 565, + 245, + 1604, + 317, + 9966, + 11, + 395, + 933, + 276, + 2341, + 565, + 359, + 643, + 688, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 338, + 9966, + 1604, + 317, + 245, + 3892, + 1604, + 6146, + 853, + 207, + 16, + 344, + 643, + 642, + 4864, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 1501, + 207, + 15, + 285, + 207, + 16, + 418, + 441, + 9966, + 5750, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 207, + 17, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 185, + 300, + 565, + 291, + 2318, + 207, + 17, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 1501, + 2428, + 750, + 1236, + 5750, + 418, + 441, + 9966, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 7361, + 77625, + 473, + 207, + 18, + 276, + 254, + 7742, + 4343, + 280, + 291, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 18, + 11, + 1098, + 7, + 77, + 746, + 15, + 13, + 20, + 8, + 919, + 207, + 16, + 11, + 207, + 17, + 1780, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 565, + 254, + 1604, + 317, + 2246, + 853, + 410, + 5929, + 276, + 207, + 16, + 11, + 279, + 588, + 1460, + 359, + 317, + 441, + 9966, + 13, + 809, + 937, + 14180, + 565, + 254, + 1604, + 317, + 207, + 17, + 11, + 588, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 13, + 4128, + 344, + 11, + 359, + 14180, + 565, + 254, + 1604, + 317, + 69543, + 457, + 207, + 17, + 11, + 588, + 744, + 2059, + 359, + 317, + 441, + 9966, + 13, + 12226, + 11, + 359, + 14180, + 565, + 254, + 1604, + 643, + 688, + 8788, + 77625, + 581, + 276, + 254, + 7742, + 4343, + 280, + 254, + 1604, + 13, + 1273, + 359, + 13373, + 688, + 11, + 359, + 7578, + 2030, + 13813, + 59970, + 6616, + 11, + 359, + 7578, + 2030, + 8173, + 13557, + 100001 + ], + "generated_token_ids_sha256": "df81574f42840263cbb9d1a82a031ac246d44d2dcb2b2122125ae10c54bbeb93", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To determine if a number is prime, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.\n\nHere's the implementation of the `is_prime` function:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n # 0 and 1 are not prime numbers\n if n <= 1:\n return False\n # 2 is the only even prime number\n if n == 2:\n return True\n # All other even numbers are not prime\n if n % 2 == 0:\n return False\n # Check divisors from 3 to the square root of n\n for i in range(3, int(n**0.5) + 1, 2):\n if n % i == 0:\n return False\n return True\n```\n\nThis function first checks if the number is less than or equal to 1, in which case it is not prime. It then checks if the number is 2, which is the only even prime number. After that, it checks if the number is divisible by 2, which would mean it is not prime. Finally, it checks if the number has any odd divisors up to the square root of the number. If it finds any, it returns `False`; otherwise, it returns `True`.", + "text_sha256": "8f020d66b7c3d7530aee59372b70b317ee4f01db5b10096e2d6d35709bbc7690", + "uniform_steps_consumed": 325, + "uniform_uint64_prefix_sha256": "87cae00514b1240038b7271901554f4bfe8aace231d582adb05a354ca3c50386", + "uniform_uint64_first_eight_hex": [ + "36d41c93224a26da", + "e0af483ccbc6c748", + "b8a56ca4b325819c", + "8953abf7c80d800c", + "54c2f705d811e752", + "3217ac6f5f1770be", + "e93de996a7fe0348", + "d15c49ea1a9cf4e1" + ], + "task_score": { + "candidate_sha256": "c716e38f5595a5d461f5d663c8e7c6418894976c14c9178a752e207f2f90bbbe", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 145, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "28a248f8e6baf3e910836ec1212882afd51ccef972a30d6306f604cd3fd10a10", + "generated_tokens": 387, + "generated_token_ids": [ + 2158, + 6983, + 565, + 245, + 1604, + 317, + 9966, + 11, + 395, + 933, + 276, + 2341, + 565, + 359, + 643, + 688, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 338, + 9966, + 1604, + 317, + 245, + 3892, + 1604, + 6146, + 853, + 207, + 16, + 344, + 643, + 642, + 4864, + 77625, + 750, + 853, + 207, + 16, + 285, + 3964, + 13, + 429, + 1157, + 2030, + 262, + 62, + 6620, + 7, + 77, + 64166, + 1023, + 972, + 2030, + 8173, + 63, + 565, + 2030, + 77, + 63, + 317, + 9966, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 6620, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 8925, + 1927, + 565, + 245, + 2028, + 1604, + 317, + 9966, + 11, + 285, + 2526, + 6616, + 27823, + 185, + 300, + 1501, + 207, + 15, + 285, + 207, + 16, + 418, + 441, + 9966, + 5750, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 207, + 17, + 317, + 254, + 889, + 1236, + 9966, + 1604, + 185, + 300, + 565, + 291, + 2318, + 207, + 17, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 1501, + 521, + 750, + 1236, + 5750, + 418, + 441, + 9966, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 1501, + 2341, + 77625, + 473, + 207, + 18, + 276, + 254, + 7742, + 4343, + 280, + 291, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 18, + 11, + 1098, + 7, + 77, + 746, + 15, + 13, + 20, + 8, + 919, + 207, + 16, + 11, + 207, + 17, + 1780, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 300, + 972, + 10491, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 565, + 2030, + 77, + 63, + 317, + 2246, + 853, + 410, + 5929, + 276, + 207, + 16, + 11, + 279, + 588, + 1460, + 359, + 7578, + 2030, + 13813, + 13557, + 809, + 937, + 14180, + 565, + 2030, + 77, + 63, + 317, + 207, + 17, + 11, + 254, + 889, + 1236, + 9966, + 1604, + 13, + 4128, + 344, + 11, + 359, + 14180, + 565, + 2030, + 77, + 63, + 317, + 69543, + 457, + 207, + 17, + 11, + 279, + 588, + 1460, + 359, + 317, + 441, + 9966, + 13, + 12226, + 11, + 359, + 14180, + 327, + 77625, + 473, + 207, + 18, + 581, + 276, + 254, + 7742, + 4343, + 280, + 2030, + 77, + 63, + 334, + 13074, + 245, + 5579, + 6088, + 280, + 2030, + 77, + 63, + 744, + 330, + 245, + 4606, + 280, + 245, + 6611, + 6088, + 344, + 643, + 2571, + 803, + 10644, + 654, + 285, + 565, + 688, + 418, + 1503, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 1273, + 642, + 77625, + 418, + 1503, + 11, + 254, + 1157, + 7578, + 2030, + 8173, + 12181, + 18359, + 344, + 2030, + 77, + 63, + 317, + 9966, + 13, + 100001 + ], + "generated_token_ids_sha256": "afd6f55baf4797d5c0743193f5f540c781a7266152d2019e7159ad13a55f48f4", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To determine if a number is prime, we need to check if it has any divisors other than 1 and itself. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The function `is_prime(n)` should return `True` if `n` is prime and `False` otherwise.\n\nHere's the implementation of the `is_prime` function:\n\n```python\ndef is_prime(n):\n \"\"\"Return true if a given number is prime, and false otherwise.\"\"\"\n # 0 and 1 are not prime numbers\n if n <= 1:\n return False\n # 2 is the only even prime number\n if n == 2:\n return True\n # all other even numbers are not prime\n if n % 2 == 0:\n return False\n # check divisors from 3 to the square root of n\n for i in range(3, int(n**0.5) + 1, 2):\n if n % i == 0:\n return False\n return True\n```\n\nThis function first checks if `n` is less than or equal to 1, in which case it returns `False`. It then checks if `n` is 2, the only even prime number. After that, it checks if `n` is divisible by 2, in which case it is not prime. Finally, it checks for divisors from 3 up to the square root of `n` (since a larger factor of `n` would be a multiple of a smaller factor that has already been checked), and if any are found, it returns `False`. 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Here's a step-by-step approach to achieve this:\n\n1. **Check for valid base input**: Ensure that the base is within the valid range (1 to 9).\n2. **Convert the number to the new base**: Use the built-in `bin` function to convert the number to binary, then convert each binary digit to the corresponding string representation.\n3. **Return the string representation**: Join the string representations of each digit to form the final string.\n\nHere's the implementation of the `change_base` function:\n\n```python\ndef change_base(x: int, base: int) -> str:\n \"\"\"Change numerical base of input number x to base.\n return string representation after the conversion.\n base numbers are less than 10.\n \"\"\"\n # Check if the base is valid\n if base < 2:\n raise ValueError(\"Base must be at least 2\")\n\n # Convert to binary first, then to the new base\n binary = bin(x)[2:] # [2:] to remove the '0b' prefix\n\n # Convert each digit to its string representation\n new_base_digits = []\n while binary:\n binary, remainder = divmod(binary, base)\n new_base_digits.append(str(remainder))\n\n # Reverse the list of digits to match the expected output\n new_base_digits.reverse()\n\n # Join the digits to form the final string\n return ''.join(new_base_digits)\n\n# Test cases\nprint(change_base(8, 3)) # Should return '22'\nprint(change_base(8, 2)) # Should return '1000'\nprint(change_base(7, 2)) # Should return '111'\n```\n\nThis function will correctly convert the given integer `x` to the specified base and return the string representation. Note that the function raises a `ValueError` if the base is less than 2, as bases less than 2 are not meaningful for numerical representations.", + "text_sha256": "dd3edd64c6dd392e52a8352ccdb19c82ed0325069221d432d1e73d784fb8b441", + "uniform_steps_consumed": 496, + "uniform_uint64_prefix_sha256": "61b27f5de32d684929a92d4c989646227ec8f5f506a78650189fc45460d867d6", + "uniform_uint64_first_eight_hex": [ + "069b7193a4f6c7f8", + "75e5b6a4981e4168", + "dc8c27aad13f62b5", + "d523b32a8debeb98", + "11d475b1cd83cd4a", + "53fdc5745884c1c2", + "49ff00596bfb16db", + "2bd2051e163a692a" + ], + "task_score": { + "candidate_sha256": "1e6cffb7498aa2ca299a3df81454db3ee24a9c65eb8c86eeb0cf8276acec661e", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 149, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "8064601979f18146c339c546016365833f2ca0d6c99b504906e55b54d5a4a7e4", + "generated_tokens": 445, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 543, + 2606, + 245, + 1157, + 2030, + 4874, + 62, + 4915, + 63, + 344, + 4497, + 274, + 10858, + 2030, + 87, + 63, + 285, + 274, + 10858, + 2030, + 4915, + 63, + 372, + 2782, + 13, + 429, + 1157, + 543, + 5447, + 254, + 1604, + 2030, + 87, + 63, + 473, + 895, + 1648, + 3252, + 276, + 254, + 3252, + 4286, + 13, + 429, + 1230, + 543, + 330, + 245, + 2662, + 8346, + 280, + 254, + 1604, + 279, + 254, + 761, + 3252, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 3956, + 276, + 4353, + 254, + 1157, + 25, + 185, + 185, + 16, + 13, + 23225, + 254, + 10858, + 2030, + 87, + 63, + 473, + 895, + 1648, + 3252, + 276, + 3252, + 207, + 16, + 15, + 334, + 52746, + 633, + 185, + 17, + 13, + 23225, + 254, + 3252, + 207, + 16, + 15, + 1604, + 276, + 254, + 761, + 3252, + 13, + 185, + 18, + 13, + 7898, + 254, + 2662, + 8346, + 280, + 254, + 1604, + 279, + 254, + 761, + 3252, + 13, + 185, + 185, + 4160, + 6, + 82, + 4353, + 254, + 2985, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2262, + 62, + 4915, + 7, + 87, + 25, + 1098, + 11, + 3252, + 25, + 1098, + 8, + 5052, + 1406, + 25, + 185, + 300, + 1501, + 50617, + 1157, + 276, + 5447, + 473, + 3252, + 207, + 16, + 15, + 276, + 3252, + 291, + 185, + 300, + 977, + 5447, + 62, + 580, + 62, + 4915, + 7, + 6485, + 11, + 3252, + 1780, + 185, + 391, + 565, + 1183, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 655, + 15, + 6, + 185, + 391, + 33325, + 403, + 9636, + 185, + 391, + 1477, + 1183, + 25, + 185, + 595, + 33325, + 13, + 6880, + 7, + 2017, + 7, + 6485, + 3028, + 3252, + 1509, + 185, + 595, + 1183, + 1071, + 28, + 3252, + 185, + 391, + 972, + 655, + 6767, + 11557, + 7, + 86309, + 58, + 73879, + 16, + 5855, + 185, + 185, + 300, + 1501, + 23225, + 1376, + 473, + 895, + 1648, + 3252, + 276, + 3252, + 207, + 16, + 15, + 185, + 300, + 26984, + 62, + 6485, + 403, + 1098, + 7, + 2017, + 7, + 87, + 654, + 3252, + 8, + 185, + 251, + 185, + 300, + 1501, + 23225, + 254, + 3252, + 207, + 16, + 15, + 1604, + 276, + 254, + 761, + 3252, + 185, + 300, + 761, + 62, + 4915, + 62, + 6485, + 403, + 5447, + 62, + 580, + 62, + 4915, + 7, + 52746, + 62, + 6485, + 11, + 3252, + 8, + 185, + 251, + 185, + 300, + 972, + 761, + 62, + 4915, + 62, + 6485, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4874, + 62, + 4915, + 7, + 23, + 11, + 207, + 18, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 655, + 17, + 17, + 6, + 185, + 4134, + 7, + 4874, + 62, + 4915, + 7, + 23, + 11, + 207, + 17, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 655, + 16, + 15, + 15, + 15, + 6, + 185, + 4134, + 7, + 4874, + 62, + 4915, + 7, + 22, + 11, + 207, + 17, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 655, + 16, + 16, + 16, + 6, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 2030, + 4874, + 62, + 4915, + 63, + 1157, + 285, + 5312, + 245, + 30206, + 1157, + 2030, + 25218, + 62, + 580, + 62, + 4915, + 63, + 344, + 37926, + 245, + 1604, + 473, + 3252, + 207, + 16, + 15, + 276, + 688, + 3252, + 2246, + 853, + 207, + 16, + 15, + 13, + 429, + 1727, + 3863, + 430, + 254, + 1225, + 15447, + 254, + 1157, + 366, + 254, + 4061, + 14804, + 13, + 100001 + ], + "generated_token_ids_sha256": "5f0d89d2123cb2283ae5fbb1b8b38677d2488d465114073e6e7908a39f2f8f25", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we will create a function `change_base` that takes an integer `x` and an integer `base` as input. The function will convert the number `x` from its current base to the base provided. The result will be a string representation of the number in the new base.\n\nHere's the approach to implement the function:\n\n1. Convert the integer `x` from its current base to base 10 (decimal).\n2. Convert the base 10 number to the new base.\n3. Return the string representation of the number in the new base.\n\nLet's implement the code:\n\n```python\ndef change_base(x: int, base: int) -> str:\n # Helper function to convert from base 10 to base n\n def convert_to_base(num, base):\n if num == 0:\n return '0'\n digits = []\n while num:\n digits.append(str(num % base))\n num //= base\n return ''.join(digits[::-1])\n\n # Convert x from its current base to base 10\n decimal_num = int(str(x), base)\n \n # Convert the base 10 number to the new base\n new_base_num = convert_to_base(decimal_num, base)\n \n return new_base_num\n\n# Test cases\nprint(change_base(8, 3)) # Expected output: '22'\nprint(change_base(8, 2)) # Expected output: '1000'\nprint(change_base(7, 2)) # Expected output: '111'\n```\n\nThis code defines the `change_base` function and includes a helper function `convert_to_base` that converts a number from base 10 to any base less than 10. The test cases at the end demonstrate the function with the expected outputs.", + "text_sha256": "c68ac43e02650fce35800f8244d7db1728bb9b119d049028c041e207affd466b", + "uniform_steps_consumed": 445, + "uniform_uint64_prefix_sha256": "1eef788fc4654d5b79efbe0f084ba5484781e60801fce4cd40fed4677ec8c9cd", + "uniform_uint64_first_eight_hex": [ + "069b7193a4f6c7f8", + "75e5b6a4981e4168", + "dc8c27aad13f62b5", + "d523b32a8debeb98", + "11d475b1cd83cd4a", + "53fdc5745884c1c2", + "49ff00596bfb16db", + "2bd2051e163a692a" + ], + "task_score": { + "candidate_sha256": "c0132c1630150d9ee5ad980e2d4da6a007ef7d954fe73a55a598534113255200", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 133, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "e71413377a91a13f6e6add6206927e67c2f744738c6124a22048f67a2fb45266", + "generated_tokens": 498, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 543, + 938, + 12974, + 6, + 82, + 4930, + 12, + 246, + 2030, + 4166, + 63, + 1157, + 276, + 5447, + 274, + 10858, + 276, + 245, + 10038, + 2662, + 285, + 2030, + 8430, + 63, + 276, + 5447, + 276, + 274, + 21105, + 266, + 2662, + 13, + 1003, + 543, + 839, + 938, + 245, + 15777, + 276, + 3592, + 33325, + 276, + 704, + 2662, + 17603, + 13, + 4462, + 6, + 82, + 946, + 340, + 481, + 4353, + 254, + 2030, + 4874, + 62, + 4915, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2262, + 62, + 4915, + 7, + 87, + 25, + 1098, + 11, + 3252, + 25, + 1098, + 8, + 5052, + 1406, + 25, + 185, + 300, + 8066, + 10792, + 12973, + 3252, + 280, + 2782, + 1604, + 1376, + 276, + 3252, + 13, + 185, + 300, + 972, + 2662, + 8346, + 1166, + 254, + 14049, + 13, + 185, + 300, + 3252, + 5750, + 418, + 2246, + 853, + 207, + 16, + 15, + 13, + 185, + 300, + 8066, + 185, + 300, + 1501, + 30482, + 245, + 15777, + 276, + 3592, + 33325, + 276, + 704, + 2662, + 17603, + 185, + 300, + 33325, + 62, + 580, + 62, + 2017, + 403, + 509, + 185, + 299, + 16, + 15, + 25, + 655, + 32, + 1185, + 207, + 16, + 16, + 25, + 655, + 33, + 1185, + 207, + 16, + 17, + 25, + 655, + 34, + 1185, + 207, + 16, + 18, + 25, + 655, + 35, + 1185, + 207, + 16, + 19, + 25, + 655, + 36, + 1185, + 207, + 16, + 20, + 25, + 655, + 37, + 1185, + 185, + 299, + 17, + 25, + 655, + 17, + 1185, + 207, + 18, + 25, + 655, + 18, + 1185, + 207, + 19, + 25, + 655, + 19, + 1185, + 207, + 20, + 25, + 655, + 20, + 1185, + 207, + 21, + 25, + 655, + 21, + 1185, + 207, + 22, + 25, + 655, + 22, + 1185, + 207, + 23, + 25, + 655, + 23, + 1185, + 207, + 24, + 25, + 655, + 24, + 6, + 185, + 300, + 615, + 185, + 251, + 185, + 300, + 1501, + 23225, + 254, + 1604, + 276, + 254, + 761, + 3252, + 1244, + 254, + 15777, + 185, + 300, + 1230, + 403, + 9636, + 185, + 300, + 1477, + 1376, + 1879, + 207, + 15, + 25, + 185, + 391, + 20319, + 403, + 1376, + 3028, + 3252, + 185, + 391, + 1230, + 13, + 6880, + 7, + 86309, + 62, + 580, + 62, + 2017, + 58, + 41557, + 5855, + 185, + 391, + 1376, + 1071, + 28, + 3252, + 185, + 251, + 185, + 300, + 1501, + 63884, + 254, + 1230, + 1525, + 276, + 752, + 254, + 2918, + 1835, + 185, + 300, + 972, + 655, + 6767, + 11557, + 7, + 4260, + 58, + 73879, + 16, + 5855, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4874, + 62, + 4915, + 7, + 23, + 11, + 207, + 18, + 1509, + 207, + 1501, + 12816, + 972, + 655, + 17, + 17, + 6, + 185, + 4134, + 7, + 4874, + 62, + 4915, + 7, + 23, + 11, + 207, + 17, + 1509, + 207, + 1501, + 12816, + 972, + 655, + 16, + 15, + 15, + 15, + 6, + 185, + 4134, + 7, + 4874, + 62, + 4915, + 7, + 22, + 11, + 207, + 17, + 1509, + 207, + 1501, + 12816, + 972, + 655, + 16, + 16, + 16, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 4310, + 5313, + 245, + 15777, + 2030, + 86309, + 62, + 580, + 62, + 2017, + 63, + 344, + 9831, + 1319, + 20319, + 473, + 207, + 15, + 276, + 207, + 16, + 20, + 334, + 66534, + 8, + 276, + 895, + 2662, + 8346, + 279, + 254, + 761, + 3252, + 13, + 809, + 937, + 25882, + 245, + 7832, + 344, + 11106, + 2645, + 2030, + 87, + 63, + 6459, + 5858, + 11, + 430, + 588, + 1420, + 521, + 33325, + 463, + 803, + 18454, + 13, + 7915, + 20319, + 317, + 17045, + 276, + 254, + 761, + 3252, + 11, + 285, + 254, + 1230, + 317, + 53676, + 276, + 254, + 2030, + 4260, + 63, + 1525, + 13, + 4128, + 254, + 7832, + 11, + 254, + 2030, + 4260, + 63, + 1525, + 317, + 34335, + 285, + 10213, + 881, + 245, + 2662, + 276, + 1020, + 254, + 2328, + 2827, + 13, + 100001 + ], + "generated_token_ids_sha256": "e23ca257f456f2248b4a0a2b653b5b58500164935ead6c99e61763829bcdcd45", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we will use Python's built-in `bin` function to convert an integer to a binary string and `oct` to convert to an octal string. We will also use a dictionary to map digits to their string representations. Here's how you can implement the `change_base` function:\n\n```python\ndef change_base(x: int, base: int) -> str:\n \"\"\"Change numerical base of input number x to base.\n return string representation after the conversion.\n base numbers are less than 10.\n \"\"\"\n # Define a dictionary to map digits to their string representations\n digits_to_str = {\n 10: 'A', 11: 'B', 12: 'C', 13: 'D', 14: 'E', 15: 'F',\n 2: '2', 3: '3', 4: '4', 5: '5', 6: '6', 7: '7', 8: '8', 9: '9'\n }\n \n # Convert the number to the new base using the dictionary\n result = []\n while x > 0:\n digit = x % base\n result.append(digits_to_str[digit])\n x //= base\n \n # Reverse the result list to get the correct order\n return ''.join(result[::-1])\n\n# Test cases\nprint(change_base(8, 3)) # Should return '22'\nprint(change_base(8, 2)) # Should return '1000'\nprint(change_base(7, 2)) # Should return '111'\n```\n\nThis function first initializes a dictionary `digits_to_str` that maps each digit from 0 to 15 (inclusive) to its string representation in the new base. It then enters a loop that continues until `x` becomes zero, at which point all digits have been processed. Each digit is converted to the new base, and the result is appended to the `result` list. After the loop, the `result` list is reversed and joined into a string to form the final output.", + "text_sha256": "ce5f3ed700995d7aa68959d33938504d7f1d0172ae6e0d45678b0e2d02262f0e", + "uniform_steps_consumed": 498, + "uniform_uint64_prefix_sha256": "3b8f783a35f6449231a038769cc090aecf51ead23580b9ea02cd58ed7b4f543b", + "uniform_uint64_first_eight_hex": [ + "069b7193a4f6c7f8", + "75e5b6a4981e4168", + "dc8c27aad13f62b5", + "d523b32a8debeb98", + "11d475b1cd83cd4a", + "53fdc5745884c1c2", + "49ff00596bfb16db", + "2bd2051e163a692a" + ], + "task_score": { + "candidate_sha256": "947572849c0da04e62c1fe2f1fdeb971eb0483274414d7fb2f751d36cbb8435f", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 149, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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steps:\n\n1. Round each element in the list to the upper integer using the `math.ceil()` function.\n2. Square each element in the list.\n3. Sum all the squared elements.\n4. Round the sum to the nearest integer using the `round()` function.\n\nHere's the implementation of the `sum_squares` function:\n\n```python\nimport math\n\ndef sum_squares(lst):\n # Round each element to the upper int(Ceiling)\n rounded_list = [math.ceil(num) for num in lst]\n \n # Square each element\n squared_list = [num ** 2 for num in rounded_list]\n \n # Sum all the squared elements\n sum_of_squares = sum(squared_list)\n \n # Round the sum to the nearest integer\n result = round(sum_of_squares)\n \n return result\n\n# Test cases\nprint(sum_squares([1, 2, 3])) # Output: 14\nprint(sum_squares([1, 4, 9])) # Output: 98\nprint(sum_squares([1, 3, 5, 7])) # Output: 84\nprint(sum_squares([1.4, 4.2, 0])) # Output: 29\nprint(sum_squares([-2.4, 1, 1])) # Output: 6\n```\n\nThis function will return the sum of the squares of the rounded numbers as required.", + "text_sha256": "2bc3648ba6cec62a814de18fbc950e213724f6169edda3a9e681b6081f483684", + "uniform_steps_consumed": 360, + "uniform_uint64_prefix_sha256": "9db10f8db52874039d9489cf7eacae0017d3494619d5927c19eb6da4d430b7ed", + "uniform_uint64_first_eight_hex": [ + "bc2ba912966e67d4", + "3072f26a41cb3ea7", + "ad95f6153ef60899", + "da749525ba8f535e", + "a5f736f160abcc1c", + "6b172207cd2b10fc", + "7c5fd12f57e43ec2", + "cc40b5b51c30160b" + ], + "task_score": { + "candidate_sha256": "3c854913160b284d8ca5a515cf2c966a6ffd4c98ae4039a43104eb757f49d192", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 207, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e4276f9ff4296a6c846b43bbc3fa2221ec810ffd93bb6b2222e1f3a3228422a0", + "generated_tokens": 357, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 23243, + 1319, + 3699, + 279, + 254, + 1525, + 276, + 254, + 6909, + 1098, + 7, + 43124, + 5969, + 8, + 276, + 5462, + 344, + 254, + 7742, + 4343, + 317, + 274, + 10858, + 13, + 185, + 17, + 13, + 18768, + 1319, + 3699, + 279, + 254, + 1525, + 13, + 185, + 18, + 13, + 9142, + 521, + 254, + 37160, + 4899, + 13, + 185, + 19, + 13, + 7898, + 254, + 2555, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 1805, + 62, + 72582, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 16145, + 185, + 185, + 1558, + 2555, + 62, + 72582, + 7, + 32808, + 1780, + 185, + 300, + 1501, + 23243, + 1319, + 3699, + 276, + 254, + 6909, + 1098, + 7, + 43124, + 5969, + 8, + 185, + 300, + 27840, + 62, + 32808, + 403, + 825, + 664, + 13, + 26158, + 7, + 87, + 8, + 327, + 1376, + 279, + 90373, + 60, + 185, + 251, + 185, + 300, + 1501, + 18768, + 1319, + 3699, + 185, + 300, + 37160, + 62, + 32808, + 403, + 825, + 87, + 9217, + 207, + 17, + 327, + 1376, + 279, + 27840, + 62, + 32808, + 60, + 185, + 251, + 185, + 300, + 1501, + 9142, + 521, + 254, + 37160, + 4899, + 185, + 300, + 2555, + 62, + 76798, + 403, + 2555, + 7, + 76798, + 62, + 32808, + 8, + 185, + 251, + 185, + 300, + 972, + 2555, + 62, + 76798, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 16, + 19, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 11, + 207, + 19, + 11, + 207, + 24, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 24, + 23, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 11, + 207, + 18, + 11, + 207, + 20, + 11, + 207, + 22, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 23, + 19, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 13, + 19, + 11, + 207, + 19, + 13, + 17, + 11, + 207, + 15, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 17, + 24, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 12, + 17, + 13, + 19, + 11, + 207, + 16, + 11, + 207, + 16, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 21, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 24816, + 1319, + 3699, + 276, + 254, + 17016, + 10858, + 6146, + 853, + 410, + 5929, + 276, + 254, + 3632, + 1437, + 13, + 2928, + 359, + 26532, + 1319, + 3699, + 285, + 28095, + 768, + 581, + 13, + 429, + 1230, + 317, + 254, + 2555, + 280, + 254, + 26532, + 280, + 254, + 27840, + 5750, + 13, + 100001 + ], + "generated_token_ids_sha256": "1f3227dedff69175326c9d1d8fe3ccbbadc2a29514b3b0a59ca1dc0e9132904a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Round each element in the list to the upper int(Ceiling) to ensure that the square root is an integer.\n2. Square each element in the list.\n3. Sum all the squared elements.\n4. Return the sum.\n\nHere's the implementation of the `sum_squares` function:\n\n```python\nimport math\n\ndef sum_squares(lst):\n # Round each element to the upper int(Ceiling)\n rounded_lst = [math.ceil(x) for x in lst]\n \n # Square each element\n squared_lst = [x ** 2 for x in rounded_lst]\n \n # Sum all the squared elements\n sum_squared = sum(squared_lst)\n \n return sum_squared\n\n# Test cases\nprint(sum_squares([1, 2, 3])) # Output: 14\nprint(sum_squares([1, 4, 9])) # Output: 98\nprint(sum_squares([1, 3, 5, 7])) # Output: 84\nprint(sum_squares([1.4, 4.2, 0])) # Output: 29\nprint(sum_squares([-2.4, 1, 1])) # Output: 6\n```\n\nThis function first rounds each element to the nearest integer greater than or equal to the original value. Then it squares each element and sums them up. The result is the sum of the squares of the rounded numbers.", + "text_sha256": "fe629262138e25cbc61aea68769bd3b6fd758e3225badee080500692115deb4e", + "uniform_steps_consumed": 357, + "uniform_uint64_prefix_sha256": "71cde83b608b55c32235fbe53cf17ee0c562669828b7e7d870ca5eea9f13cbe8", + "uniform_uint64_first_eight_hex": [ + "bc2ba912966e67d4", + "3072f26a41cb3ea7", + "ad95f6153ef60899", + "da749525ba8f535e", + "a5f736f160abcc1c", + "6b172207cd2b10fc", + "7c5fd12f57e43ec2", + "cc40b5b51c30160b" + ], + "task_score": { + "candidate_sha256": "9197b5b2658cda4f6ea3ed52eaec0fc9e2ce358914b6597cabfb528785611ca1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 191, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "5e556876b30e7de83e1d58a9331853ee7adff92957c6421cf176331235fe7f80", + "generated_tokens": 352, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 23243, + 1319, + 3699, + 279, + 254, + 1525, + 276, + 254, + 6909, + 1098, + 7, + 43124, + 5969, + 8, + 276, + 5462, + 344, + 254, + 5750, + 418, + 4864, + 13, + 185, + 17, + 13, + 18768, + 1319, + 1604, + 279, + 254, + 1525, + 13, + 185, + 18, + 13, + 9142, + 521, + 254, + 37160, + 5750, + 13, + 185, + 19, + 13, + 7898, + 254, + 2555, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 1805, + 62, + 72582, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 16145, + 185, + 185, + 1558, + 2555, + 62, + 72582, + 7, + 32808, + 1780, + 185, + 300, + 1501, + 23243, + 1319, + 3699, + 276, + 254, + 6909, + 1098, + 7, + 43124, + 5969, + 8, + 185, + 300, + 27840, + 62, + 32808, + 403, + 825, + 664, + 13, + 26158, + 7, + 87, + 8, + 327, + 1376, + 279, + 90373, + 60, + 185, + 251, + 185, + 300, + 1501, + 18768, + 1319, + 1604, + 279, + 254, + 1525, + 185, + 300, + 37160, + 62, + 32808, + 403, + 825, + 87, + 9217, + 207, + 17, + 327, + 1376, + 279, + 27840, + 62, + 32808, + 60, + 185, + 251, + 185, + 300, + 1501, + 9142, + 521, + 254, + 37160, + 5750, + 185, + 300, + 3223, + 62, + 1805, + 403, + 2555, + 7, + 76798, + 62, + 32808, + 8, + 185, + 251, + 185, + 300, + 972, + 3223, + 62, + 1805, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 16, + 19, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 11, + 207, + 19, + 11, + 207, + 24, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 24, + 23, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 11, + 207, + 18, + 11, + 207, + 20, + 11, + 207, + 22, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 23, + 19, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 16, + 13, + 19, + 11, + 207, + 19, + 13, + 17, + 11, + 207, + 15, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 17, + 24, + 185, + 4134, + 7, + 1805, + 62, + 72582, + 9244, + 12, + 17, + 13, + 19, + 11, + 207, + 16, + 11, + 207, + 16, + 26034, + 207, + 1501, + 20154, + 25, + 207, + 21, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 245, + 1525, + 46950, + 276, + 1022, + 4078, + 1319, + 3699, + 276, + 254, + 17016, + 10858, + 6146, + 853, + 410, + 5929, + 276, + 359, + 11, + 937, + 26532, + 1319, + 3699, + 11, + 285, + 6334, + 28095, + 581, + 254, + 37160, + 4899, + 13, + 100001 + ], + "generated_token_ids_sha256": "657c65932b672001669c8904ea82202b8c55f9f7802ae478f1f2506e3c288bb2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Round each element in the list to the upper int(Ceiling) to ensure that the numbers are positive.\n2. Square each number in the list.\n3. Sum all the squared numbers.\n4. Return the sum.\n\nHere's the implementation of the `sum_squares` function:\n\n```python\nimport math\n\ndef sum_squares(lst):\n # Round each element to the upper int(Ceiling)\n rounded_lst = [math.ceil(x) for x in lst]\n \n # Square each number in the list\n squared_lst = [x ** 2 for x in rounded_lst]\n \n # Sum all the squared numbers\n total_sum = sum(squared_lst)\n \n return total_sum\n\n# Example usage:\nprint(sum_squares([1, 2, 3])) # Output: 14\nprint(sum_squares([1, 4, 9])) # Output: 98\nprint(sum_squares([1, 3, 5, 7])) # Output: 84\nprint(sum_squares([1.4, 4.2, 0])) # Output: 29\nprint(sum_squares([-2.4, 1, 1])) # Output: 6\n```\n\nThis function uses a list comprehension to first round each element to the nearest integer greater than or equal to it, then squares each element, and finally sums up the squared elements.", + "text_sha256": "1770c9994a02b7c2b4120496c391be7aaff6022477dc06c9c77324f5ffa765c7", + "uniform_steps_consumed": 352, + "uniform_uint64_prefix_sha256": "b1b635d52df6acf74ae8c875649f7cb1ada91a361ca966224df1a90b81e1390e", + "uniform_uint64_first_eight_hex": [ + "bc2ba912966e67d4", + "3072f26a41cb3ea7", + "ad95f6153ef60899", + "da749525ba8f535e", + "a5f736f160abcc1c", + "6b172207cd2b10fc", + "7c5fd12f57e43ec2", + "cc40b5b51c30160b" + ], + "task_score": { + "candidate_sha256": "991f93b1c7a7b5c81517bf380741c7750bcd1c5b04613494e06628b6928de551", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 207, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "537648bc701d6509e6c7925284b842e598400c662918f3b2319d0e54a404019c", + "generated_tokens": 78, + "generated_token_ids": [ + 977, + 2555, + 62, + 72582, + 7, + 32808, + 1780, + 185, + 300, + 1501, + 23243, + 1319, + 3699, + 279, + 254, + 1525, + 276, + 254, + 6909, + 1098, + 7, + 43124, + 5969, + 8, + 185, + 300, + 27840, + 62, + 32808, + 403, + 825, + 572, + 7, + 87, + 8, + 327, + 1376, + 279, + 90373, + 60, + 185, + 251, + 185, + 300, + 1501, + 50586, + 254, + 2555, + 280, + 37160, + 5750, + 185, + 300, + 2555, + 62, + 72582, + 403, + 2555, + 7, + 87, + 746, + 17, + 327, + 1376, + 279, + 27840, + 62, + 32808, + 8, + 185, + 251, + 185, + 300, + 972, + 2555, + 62, + 72582, + 100001 + ], + "generated_token_ids_sha256": "bf4fa0912d02d44dda3fded6a8bc3634ce414057840446a58a3e76c7868e608c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def sum_squares(lst):\n # Round each element in the list to the upper int(Ceiling)\n rounded_lst = [int(x) for x in lst]\n \n # Calculate the sum of squared numbers\n sum_squares = sum(x**2 for x in rounded_lst)\n \n return sum_squares", + "text_sha256": "b43fddcc870cdbf27f681bc4a8520ea9ee081c87b3780c3bfdfd02e5c4dd1cdd", + "uniform_steps_consumed": 78, + "uniform_uint64_prefix_sha256": "de2b5e6415782447e99ccec9f3288cb3b68ad9ece4f7eb3b2964da794c161675", + "uniform_uint64_first_eight_hex": [ + "bc2ba912966e67d4", + "3072f26a41cb3ea7", + "ad95f6153ef60899", + "da749525ba8f535e", + "a5f736f160abcc1c", + "6b172207cd2b10fc", + "7c5fd12f57e43ec2", + "cc40b5b51c30160b" + ], + "task_score": { + "candidate_sha256": "ef339753613563cd191f35e60da7189b8d64784482ee479748c23a1d8ccdf0a3", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "HumanEval/23", + "domain": "code", + "label": "Python code", + "within_domain_index": 3, + "selection_rank": "03b3c7329e474bf8e9660969ed5898d561e718f12a59d2fc1ed641be54b68860", + "source_text_sha256": "0bb479f80d27872f6bebc01618112b372cc8a2e6aee9e4b76337e3b3416418c7", + "source_characters": 132, + "source_tokens": 42, + "prompt_tokens_by_condition": { + "s0_eos": 67, + "s1_eos": 83, + "s0_period": 67, + "s1_period": 83 + }, + "batch_prompt_tokens_after_left_padding": 83, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 8703466580693122101, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "63f01872e4ce288e9201eff7ccb036ab79ee21d910fa9b13c3e25d24ecb2dbae", + "cuda_device_sha256": [ + "267a092cc544c61a26451d0327641e8b88d1ffed68a00946b33ea0edfb63e0c6" + ], + "cuda_combined_sha256": "ed50500cb268644e775b90fa1086b735a5699fb3440bcbff06cfe257f2ed316d" + }, + "rng_state_after": { + "cpu_sha256": "63f01872e4ce288e9201eff7ccb036ab79ee21d910fa9b13c3e25d24ecb2dbae", + "cuda_device_sha256": [ + "267a092cc544c61a26451d0327641e8b88d1ffed68a00946b33ea0edfb63e0c6" + ], + "cuda_combined_sha256": "ed50500cb268644e775b90fa1086b735a5699fb3440bcbff06cfe257f2ed316d" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 327, + "uniform_uint64_sha256": "223ab749e4f6fc2a6cf8ae6cd5de8d1ca83b2fe48651801a95654071bceb114b", + "uniform_uint64_first_eight_hex": [ + "8a1edae4d89a925f", + "544855e8c8463653", + "a690d94fe376d4ee", + "b7febd4fdc01e437", + "74e31f77a05c3a73", + "ddea057bb69643b9", + "0ba2cd7547da0dab", + "8c3fef54e65e8f2f" + ], + "uniform_float32_first_eight": [ + 0.5395333170890808, + 0.3292287588119507, + 0.6506476998329163, + 0.7187307476997375, + 0.4565906226634979, + 0.8668521046638489, + 0.045452918857336044, + 0.5478505492210388 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 5, + "generation_seconds": 50.208473818027414, + "peak_cuda_memory_allocated_bytes": 28822947328, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 67, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "cb47bc5c0e78c4ab62201c207af6c0385abba0c85cc1a22c130a8b6a445a1116", + "generated_tokens": 97, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 73675, + 63, + 1157, + 279, + 12974, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 56958, + 7, + 2612, + 25, + 1406, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 7898, + 3973, + 280, + 2028, + 2662, + 8066, + 185, + 300, + 972, + 10389, + 7, + 2612, + 8, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 12974, + 6, + 82, + 4930, + 12, + 246, + 2030, + 6449, + 46120, + 1157, + 276, + 6983, + 254, + 3973, + 280, + 254, + 2782, + 2662, + 13, + 429, + 2030, + 6449, + 46120, + 1157, + 7578, + 254, + 1604, + 280, + 5023, + 279, + 274, + 2159, + 11, + 588, + 279, + 437, + 1460, + 317, + 254, + 3973, + 280, + 254, + 2662, + 13, + 100001 + ], + "generated_token_ids_sha256": "fdda57e0640717fe524bd3a564d4b0ef3f541d64aeb0a73cf0427cadea3c2489", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the `strlen` function in Python:\n\n```python\ndef strlen(string: str) -> int:\n \"\"\" Return length of given string \"\"\"\n return len(string)\n```\n\nThis function uses Python's built-in `len()` function to determine the length of the input string. The `len()` function returns the number of items in an object, which in this case is the length of the string.", + "text_sha256": "81314c5bb76e0f40cc33ef94578c8e4f1b61cb80b314c7f129dbc882111c8852", + "uniform_steps_consumed": 97, + "uniform_uint64_prefix_sha256": "2bfbd740797a24d1bfd3ea0a4e00b32e285766e2575a5c56d5e7ade83e0f2bee", + "uniform_uint64_first_eight_hex": [ + "8a1edae4d89a925f", + "544855e8c8463653", + "a690d94fe376d4ee", + "b7febd4fdc01e437", + "74e31f77a05c3a73", + "ddea057bb69643b9", + "0ba2cd7547da0dab", + "8c3fef54e65e8f2f" + ], + "task_score": { + "candidate_sha256": "aac1b2005230da60d09fe75f852bfc4c24e16d9de060c4d7c31b227d860307bf", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 83, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "82597f376eaa8456e5ef6faa9ca76898c8a26dc24355f8548d4588aca4a36df0", + "generated_tokens": 101, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 73675, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 56958, + 7, + 2612, + 25, + 1406, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 7898, + 3973, + 280, + 2028, + 2662, + 8066, + 185, + 300, + 972, + 10389, + 7, + 2612, + 8, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 73675, + 1504, + 14201, + 207, + 1501, + 20154, + 25, + 207, + 15, + 185, + 4134, + 7, + 73675, + 1504, + 22654, + 14201, + 207, + 1501, + 20154, + 25, + 207, + 18, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 12974, + 6, + 82, + 4930, + 12, + 246, + 2030, + 6449, + 63, + 1157, + 276, + 6983, + 254, + 3973, + 280, + 254, + 2782, + 2662, + 13, + 100001 + ], + "generated_token_ids_sha256": "07b6c2b6a7de7299de6beab82fb0985e681ca93f26506a125f551d04fd8ab465", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the `strlen` function:\n\n```python\ndef strlen(string: str) -> int:\n \"\"\" Return length of given string \"\"\"\n return len(string)\n\n# Example usage:\nprint(strlen('')) # Output: 0\nprint(strlen('abc')) # Output: 3\n```\n\nThis function uses Python's built-in `len` function to determine the length of the input string.", + "text_sha256": "afd7db604f2e3225f9f83e156ec6bc7cc0aa740614b5f8d962c1638eb4610843", + "uniform_steps_consumed": 101, + "uniform_uint64_prefix_sha256": "5107400d8288afdb575132913689c29cfedac0f1b99f60f84942779f8a33450b", + "uniform_uint64_first_eight_hex": [ + "8a1edae4d89a925f", + "544855e8c8463653", + "a690d94fe376d4ee", + "b7febd4fdc01e437", + "74e31f77a05c3a73", + "ddea057bb69643b9", + "0ba2cd7547da0dab", + "8c3fef54e65e8f2f" + ], + "task_score": { + "candidate_sha256": "74f33e189fe5c71b7a2bc81a0b26b36a45c640674bbf3bdadaa313c6b4404b6d", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 67, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "2f54a215c9dbb510d46c5a9ec14a563ab2d8bcd06081a351221e49244ff23ee7", + "generated_tokens": 327, + "generated_token_ids": [ + 429, + 1157, + 2030, + 73675, + 63, + 317, + 4218, + 276, + 972, + 254, + 3973, + 280, + 245, + 2028, + 2662, + 13, + 3159, + 11, + 254, + 1157, + 13204, + 317, + 13283, + 13, + 685, + 12974, + 11, + 254, + 1157, + 13204, + 1023, + 3433, + 254, + 1449, + 13357, + 327, + 254, + 6758, + 285, + 254, + 972, + 1449, + 13, + 4462, + 6, + 82, + 254, + 24832, + 2627, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 56958, + 7, + 2612, + 25, + 1406, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 7898, + 254, + 3973, + 280, + 254, + 2028, + 2662, + 185, + 300, + 24922, + 56958, + 1504, + 2519, + 185, + 251, + 15, + 185, + 300, + 24922, + 56958, + 1504, + 22654, + 2519, + 185, + 251, + 18, + 185, + 300, + 8066, + 185, + 300, + 972, + 10389, + 7, + 2612, + 8, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 254, + 4930, + 12, + 246, + 2030, + 6449, + 63, + 1157, + 279, + 12974, + 276, + 1690, + 254, + 1604, + 280, + 7445, + 279, + 254, + 2662, + 11, + 2847, + 9577, + 285, + 42468, + 13, + 1273, + 340, + 1121, + 276, + 13975, + 9577, + 285, + 42468, + 11, + 340, + 1667, + 1121, + 276, + 938, + 245, + 4252, + 5761, + 276, + 1690, + 889, + 254, + 360, + 19530, + 97242, + 7445, + 13, + 4462, + 6, + 82, + 946, + 340, + 1027, + 536, + 344, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 56958, + 7, + 2612, + 25, + 1406, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 7898, + 254, + 3973, + 280, + 254, + 360, + 19530, + 97242, + 7445, + 279, + 254, + 2028, + 2662, + 185, + 300, + 24922, + 56958, + 1504, + 2519, + 185, + 251, + 15, + 185, + 300, + 24922, + 56958, + 1504, + 22654, + 2519, + 185, + 251, + 18, + 185, + 300, + 24922, + 56958, + 1504, + 64, + 11, + 65, + 11, + 66, + 2519, + 185, + 251, + 18, + 185, + 300, + 24922, + 56958, + 1504, + 64, + 11, + 65, + 13, + 66, + 2519, + 185, + 251, + 18, + 185, + 300, + 8066, + 185, + 300, + 972, + 10389, + 7, + 248, + 13, + 1588, + 7, + 81, + 12850, + 54, + 10, + 1185, + 23367, + 2662, + 1509, + 185, + 10897, + 185, + 185, + 1567, + 2627, + 280, + 254, + 1157, + 5131, + 254, + 2030, + 248, + 13, + 1588, + 63, + 1157, + 276, + 8389, + 521, + 2170, + 12, + 266, + 19530, + 97242, + 7445, + 366, + 274, + 7137, + 2662, + 11, + 11756, + 13919, + 768, + 473, + 254, + 2662, + 13, + 2928, + 359, + 5131, + 2030, + 6449, + 63, + 276, + 1690, + 254, + 9325, + 7445, + 13, + 100001 + ], + "generated_token_ids_sha256": "927ab37c7449240206587a415ec9fce2b7cd4da1fb02cbeb478a7147b3254897", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The function `strlen` is defined to return the length of a given string. However, the function signature is incorrect. In Python, the function signature should include the type hint for the argument and the return type. Here's the corrected version of the function:\n\n```python\ndef strlen(string: str) -> int:\n \"\"\" Return the length of the given string\n >>> strlen('')\n 0\n >>> strlen('abc')\n 3\n \"\"\"\n return len(string)\n```\n\nThis function uses the built-in `len` function in Python to count the number of characters in the string, including spaces and punctuation. If you want to ignore spaces and punctuation, you might want to use a regular expression to count only the alphanumeric characters. Here's how you could do that:\n\n```python\nimport re\n\ndef strlen(string: str) -> int:\n \"\"\" Return the length of the alphanumeric characters in the given string\n >>> strlen('')\n 0\n >>> strlen('abc')\n 3\n >>> strlen('a,b,c')\n 3\n >>> strlen('a,b.c')\n 3\n \"\"\"\n return len(re.sub(r'\\W+', '', string))\n```\n\nThis version of the function uses the `re.sub` function to replace all non-alphanumeric characters with an empty string, effectively removing them from the string. 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"7968d31e98e115c3179df3e03eb7aa44adab532b7c59f44fde31bd921a207ce1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through all possible triples of the array and check if their sum is a multiple of 3. We can use a nested loop to generate all possible combinations of three elements from the array. For each combination, we calculate the sum and check if it is divisible by 3. If it is, we increment a counter variable. Finally, we return the counter variable, which represents the number of valid triples.\n\nHere is the Python code to solve the problem:\n\n```python\ndef get_max_triples(n):\n a = [i * i - i + 1 for i in range(1, n + 1)]\n count = 0\n\n for i in range(n - 2):\n for j in range(i + 1, n - 1):\n for k in range(j + 1, n):\n if (a[i] + a[j] + a[k]) % 3 == 0:\n count += 1\n\n return count\n```\n\nLet's test the function with the given example:\n\n```python\nn = 5\nprint(get_max_triples(n)) # Output: 1\n```\n\nThe output is correct, and the function works as expected.", + "text_sha256": "bf9c99c9220a507da5d5e67fa8269bec692338412fdb44cc3816f42582e4549e", + "uniform_steps_consumed": 287, + "uniform_uint64_prefix_sha256": "ab162e6117da5bece72cde38d3ce5ff48ec6adff43a062e9d9ec4dee03c9023e", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + "fbf5f8232f400e83", + "007c6f72f1e0f53a", + "768d629b0bf982c8", + "b4b5f57950fc524e" + ], + "task_score": { + "candidate_sha256": "e6d7a448d5f42966fa44ee1d9e86973856eddf91b42d163d6ccf7acbd2c6d006", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 228, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "44e31b9bd850e04dc524a5087e67bc376f39039925cacda2af7eb27937d4a173", + "generated_tokens": 392, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 69422, + 280, + 254, + 3869, + 2030, + 64, + 63, + 285, + 2341, + 565, + 704, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 5512, + 395, + 418, + 6555, + 279, + 69422, + 1066, + 2030, + 72, + 459, + 523, + 459, + 530, + 12181, + 395, + 481, + 1330, + 457, + 36279, + 254, + 3869, + 2030, + 64, + 63, + 285, + 937, + 7502, + 1130, + 1184, + 359, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 276, + 8708, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 752, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1780, + 185, + 300, + 1501, + 35914, + 254, + 3869, + 245, + 366, + 254, + 2028, + 9452, + 185, + 300, + 245, + 403, + 40050, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 8, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 919, + 207, + 16, + 6635, + 185, + 251, + 185, + 300, + 1501, + 31794, + 254, + 3869, + 276, + 1099, + 359, + 7292, + 276, + 1275, + 69422, + 185, + 300, + 245, + 13, + 14318, + 826, + 185, + 251, + 185, + 300, + 1501, + 35914, + 254, + 1690, + 280, + 4640, + 69422, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 1184, + 254, + 3869, + 276, + 1275, + 4640, + 69422, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 77, + 570, + 207, + 17, + 1780, + 185, + 391, + 1501, + 35914, + 254, + 2555, + 280, + 254, + 1648, + 18038, + 185, + 391, + 2555, + 62, + 71261, + 403, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 72, + 919, + 207, + 16, + 60, + 919, + 245, + 58, + 72, + 919, + 207, + 17, + 60, + 185, + 391, + 1501, + 7361, + 565, + 254, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 185, + 391, + 565, + 2555, + 62, + 71261, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 595, + 1690, + 7324, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 185, + 4134, + 7, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 20, + 1509, + 207, + 1501, + 20154, + 25, + 207, + 16, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 1157, + 2030, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 63, + 588, + 4497, + 274, + 10858, + 2030, + 77, + 63, + 285, + 7578, + 254, + 1604, + 280, + 4640, + 69422, + 279, + 254, + 3869, + 2030, + 64, + 13557, + 809, + 1022, + 12655, + 254, + 3869, + 2030, + 64, + 63, + 1244, + 254, + 2028, + 9452, + 11, + 17314, + 359, + 11, + 285, + 937, + 91281, + 1184, + 359, + 276, + 1275, + 254, + 4640, + 69422, + 13, + 429, + 2555, + 280, + 1319, + 18038, + 317, + 10644, + 276, + 1019, + 565, + 359, + 317, + 245, + 4606, + 280, + 207, + 18, + 11, + 285, + 565, + 558, + 11, + 254, + 1690, + 317, + 18765, + 271, + 13, + 12226, + 11, + 254, + 1157, + 7578, + 254, + 1690, + 280, + 4640, + 69422, + 13, + 100001 + ], + "generated_token_ids_sha256": "6d2b0c45c73e2bec2e494150913e866f35f414e16a1248e776b468e78473dc65", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through all possible triples of the array `a` and check if their sum is a multiple of 3. Since we are interested in triples where `i < j < k`, we can start by sorting the array `a` and then iterating through it.\n\nHere's the Python code to solve the problem:\n\n```python\ndef get_max_triples(n):\n # Initialize the array a with the given formula\n a = [(i * i - i + 1) for i in range(1, n + 1)]\n \n # Sort the array to make it easier to find triples\n a.sort()\n \n # Initialize the count of valid triples\n count = 0\n \n # Iterate through the array to find valid triples\n for i in range(n - 2):\n # Initialize the sum of the current triple\n sum_triple = a[i] + a[i + 1] + a[i + 2]\n # Check if the sum is a multiple of 3\n if sum_triple % 3 == 0:\n count += 1\n \n return count\n\n# Example usage\nprint(get_max_triples(5)) # Output: 1\n```\n\nThis code defines the function `get_max_triples` which takes an integer `n` and returns the number of valid triples in the array `a`. It first creates the array `a` using the given formula, sorts it, and then iterates through it to find the valid triples. The sum of each triple is checked to see if it is a multiple of 3, and if so, the count is incremented. Finally, the function returns the count of valid triples.", + "text_sha256": "697da8224f76257cc14fa79ad25812c0aabb8ec891c0a0f518f18af9f68950b1", + "uniform_steps_consumed": 392, + "uniform_uint64_prefix_sha256": "5de10a3ef7dd135824b471bbd1b0b78d9757fde37fe33d4787a5a4934f369c5b", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + "fbf5f8232f400e83", + "007c6f72f1e0f53a", + "768d629b0bf982c8", + "b4b5f57950fc524e" + ], + "task_score": { + "candidate_sha256": "e00cb872f5f76ece08f26d24c2e1506e727977257d66b4433ff065bb03139e45", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 212, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec600c5ba2e9344a40d66fd2a9fd6a8b17c133af06e4a624b3fed14fe3105840", + "generated_tokens": 442, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 69422, + 280, + 254, + 3869, + 2030, + 64, + 63, + 285, + 2341, + 565, + 704, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 4462, + 6, + 82, + 254, + 3956, + 276, + 8708, + 254, + 2066, + 25, + 185, + 185, + 16, + 13, + 35914, + 274, + 3869, + 2030, + 64, + 63, + 280, + 3973, + 2030, + 77, + 63, + 1066, + 1319, + 3699, + 2030, + 64, + 58, + 72, + 60, + 63, + 317, + 10711, + 372, + 2030, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 13557, + 185, + 17, + 13, + 30068, + 387, + 1184, + 521, + 2198, + 3039, + 280, + 2030, + 72, + 63, + 473, + 207, + 16, + 276, + 2030, + 77, + 12, + 17, + 63, + 334, + 13074, + 395, + 418, + 2709, + 327, + 69422, + 2030, + 7, + 64, + 58, + 72, + 2717, + 245, + 58, + 73, + 2717, + 245, + 58, + 74, + 5855, + 63, + 1066, + 2030, + 72, + 459, + 523, + 459, + 530, + 63, + 633, + 185, + 18, + 13, + 1494, + 1319, + 2030, + 72, + 12181, + 43667, + 1184, + 521, + 2198, + 3039, + 280, + 2030, + 73, + 63, + 473, + 2030, + 72, + 10, + 16, + 63, + 276, + 2030, + 77, + 12, + 16, + 13557, + 185, + 19, + 13, + 1494, + 1319, + 5696, + 2030, + 7, + 72, + 11, + 523, + 8, + 12181, + 11462, + 254, + 2555, + 2030, + 1805, + 403, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 13557, + 185, + 20, + 13, + 7361, + 565, + 2030, + 1805, + 63, + 317, + 69543, + 457, + 207, + 18, + 13, + 1273, + 359, + 317, + 11, + 18765, + 245, + 7114, + 327, + 4640, + 69422, + 13, + 185, + 21, + 13, + 7898, + 254, + 7114, + 1166, + 13575, + 521, + 69422, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 23546, + 254, + 2330, + 3956, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 752, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1780, + 185, + 300, + 245, + 403, + 825, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 10, + 16, + 6635, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 12, + 16, + 1780, + 185, + 391, + 327, + 523, + 279, + 3169, + 7, + 72, + 10, + 16, + 11, + 291, + 1780, + 185, + 595, + 2555, + 62, + 4036, + 403, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 185, + 595, + 565, + 2555, + 62, + 4036, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 903, + 1690, + 7324, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 77, + 403, + 207, + 20, + 185, + 4134, + 7, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1509, + 207, + 1501, + 20154, + 1023, + 330, + 207, + 16, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 1157, + 2030, + 708, + 62, + 3978, + 62, + 13857, + 2589, + 63, + 588, + 61927, + 254, + 6059, + 1604, + 280, + 69422, + 279, + 274, + 3869, + 2030, + 64, + 63, + 1066, + 254, + 2555, + 280, + 688, + 1853, + 4899, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 429, + 2203, + 8175, + 27467, + 946, + 276, + 1282, + 254, + 1157, + 366, + 2030, + 77, + 403, + 207, + 20, + 13557, + 100001 + ], + "generated_token_ids_sha256": "a7ffd6b8c68644ee05186e83d92a1986554694b48f5a170eeb6b9bacf308e4f0", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through all possible triples of the array `a` and check if their sum is a multiple of 3. Here's the approach to solve the problem:\n\n1. Initialize an array `a` of length `n` where each element `a[i]` is calculated as `i * i - i + 1`.\n2. Iterate through all possible values of `i` from 1 to `n-2` (since we are looking for triples `(a[i], a[j], a[k])` where `i < j < k`).\n3. For each `i`, iterate through all possible values of `j` from `i+1` to `n-1`.\n4. For each pair `(i, j)`, calculate the sum `sum = a[i] + a[j]`.\n5. Check if `sum` is divisible by 3. If it is, increment a counter for valid triples.\n6. Return the counter after checking all triples.\n\nHere's the Python code implementing the above approach:\n\n```python\ndef get_max_triples(n):\n a = [i * i - i + 1 for i in range(1, n+1)]\n count = 0\n \n for i in range(1, n-1):\n for j in range(i+1, n):\n sum_ij = a[i] + a[j]\n if sum_ij % 3 == 0:\n count += 1\n \n return count\n\n# Example usage:\nn = 5\nprint(get_max_triples(n)) # Output should be 1\n```\n\nThis code defines the function `get_max_triples` which calculates the maximum number of triples in an array `a` where the sum of any three elements is a multiple of 3. The example usage demonstrates how to call the function with `n = 5`.", + "text_sha256": "41ca3700a0017a57e53f97382f609ee1f592a55bfd007fbf14f46a6a44e5d1e4", + "uniform_steps_consumed": 442, + "uniform_uint64_prefix_sha256": "5ef41619f85fbefa05bc7af8989ccdba2d3bd8a38a1086897df77bbf4cb06944", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + "fbf5f8232f400e83", + "007c6f72f1e0f53a", + "768d629b0bf982c8", + "b4b5f57950fc524e" + ], + "task_score": { + "candidate_sha256": "6983d65ab9d733f92ee3749ef5f5aba3ee769551a6e52c934c9827f388441544", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 228, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "5562530a27f30d8a9d1e03593c6ba2813629a17924034ff1ac9f21b97b37e01b", + "generated_tokens": 512, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 69422, + 280, + 254, + 3869, + 2030, + 64, + 63, + 285, + 2341, + 565, + 704, + 2555, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 5512, + 2030, + 64, + 58, + 72, + 60, + 63, + 317, + 254, + 2555, + 280, + 274, + 33246, + 4077, + 11, + 395, + 481, + 27734, + 254, + 5761, + 327, + 2030, + 64, + 58, + 72, + 60, + 63, + 457, + 1714, + 4815, + 636, + 2030, + 72, + 63, + 285, + 73690, + 254, + 17550, + 25, + 185, + 185, + 63, + 64, + 58, + 72, + 60, + 403, + 460, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 403, + 460, + 61, + 17, + 570, + 207, + 16, + 919, + 460, + 403, + 460, + 61, + 17, + 919, + 460, + 570, + 207, + 16, + 63, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 1275, + 69422, + 2030, + 7, + 64, + 58, + 72, + 2717, + 245, + 58, + 73, + 2717, + 245, + 58, + 74, + 5855, + 63, + 1108, + 344, + 2030, + 64, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 919, + 245, + 58, + 74, + 60, + 63, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 1002, + 2456, + 344, + 254, + 2555, + 280, + 688, + 984, + 4899, + 473, + 254, + 18038, + 1534, + 839, + 330, + 245, + 4606, + 280, + 207, + 18, + 11, + 1373, + 254, + 62226, + 280, + 207, + 18, + 418, + 6079, + 1090, + 4317, + 13, + 185, + 185, + 4160, + 6, + 82, + 3708, + 245, + 1157, + 276, + 11462, + 254, + 2555, + 280, + 688, + 984, + 4899, + 473, + 254, + 18038, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 460, + 11, + 523, + 1780, + 185, + 300, + 972, + 245, + 58, + 72, + 60, + 919, + 245, + 58, + 73, + 60, + 185, + 10897, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 43667, + 1184, + 521, + 2198, + 20243, + 280, + 2030, + 72, + 12181, + 2030, + 73, + 12181, + 285, + 2030, + 74, + 63, + 1108, + 344, + 2030, + 72, + 459, + 523, + 459, + 530, + 63, + 285, + 2030, + 72, + 12181, + 2030, + 73, + 12181, + 285, + 2030, + 74, + 63, + 418, + 8492, + 13, + 1003, + 481, + 938, + 245, + 28772, + 7832, + 276, + 6347, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 752, + 62, + 3978, + 62, + 13857, + 2589, + 7, + 77, + 1780, + 185, + 300, + 245, + 403, + 825, + 72, + 575, + 460, + 570, + 460, + 919, + 207, + 16, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 291, + 919, + 207, + 16, + 6635, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 77, + 1780, + 185, + 391, + 327, + 523, + 279, + 3169, + 7, + 72, + 919, + 207, + 16, + 11, + 291, + 1780, + 185, + 595, + 327, + 530, + 279, + 3169, + 7, + 73, + 919, + 207, + 16, + 11, + 291, + 1780, + 185, + 903, + 565, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 460, + 11, + 523, + 8, + 3028, + 207, + 18, + 2318, + 207, + 15, + 285, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 460, + 11, + 530, + 8, + 3028, + 207, + 18, + 2318, + 207, + 15, + 285, + 2555, + 62, + 994, + 62, + 9498, + 7, + 64, + 11, + 523, + 11, + 530, + 8, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 1457, + 1690, + 7324, + 207, + 16, + 185, + 185, + 300, + 972, + 1690, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4310, + 5313, + 274, + 3869, + 2030, + 64, + 63, + 366, + 254, + 3039, + 10711, + 4299, + 276, + 254, + 2066, + 6161, + 285, + 937, + 91281, + 1184, + 521, + 2198, + 69422, + 11, + 21882, + 254, + 4866, + 1066, + 254, + 2555, + 280, + 688, + 984, + 4899, + 317, + 245, + 4606, + 280, + 207, + 18, + 13, + 185, + 185, + 4160, + 6, + 82, + 1727, + 254, + 1157, + 366, + 254, + 2203, + 4286, + 25, + 185, + 185, + 10897 + ], + "generated_token_ids_sha256": "ca6207e139f1a855c42b8f48f01d6940041c8e3422e7db2341a2e783c346aded", + "hit_eos": false, + "stopped_at_max_new_tokens": true, + "text": " To solve this problem, we need to iterate through all possible triples of the array `a` and check if their sum is a multiple of 3. Since `a[i]` is the sum of an arithmetic series, we can simplify the expression for `a[i]` by factoring out `i` and simplifying the constants:\n\n`a[i] = i * i - i + 1 = i^2 - 1 + i = i^2 + i - 1`\n\nNow, we need to find triples `(a[i], a[j], a[k])` such that `a[i] + a[j] + a[k]` is a multiple of 3. This means that the sum of any two elements from the triple must also be a multiple of 3, because the multiples of 3 are closed under addition.\n\nLet's write a function to calculate the sum of any two elements from the triple:\n\n```python\ndef sum_of_two(a, i, j):\n return a[i] + a[j]\n```\n\nNow, we need to iterate through all possible combinations of `i`, `j`, and `k` such that `i < j < k` and `i`, `j`, and `k` are distinct. We can use a nested loop to achieve this:\n\n```python\ndef get_max_triples(n):\n a = [i * i - i + 1 for i in range(1, n + 1)]\n count = 0\n\n for i in range(n):\n for j in range(i + 1, n):\n for k in range(j + 1, n):\n if sum_of_two(a, i, j) % 3 == 0 and sum_of_two(a, i, k) % 3 == 0 and sum_of_two(a, j, k) % 3 == 0:\n count += 1\n\n return count\n```\n\nThis function initializes an array `a` with the values calculated according to the problem statement and then iterates through all possible triples, counting the ones where the sum of any two elements is a multiple of 3.\n\nLet's test the function with the example provided:\n\n```", + "text_sha256": "c29288e1e6dffbcfc7d61600a4b04469ee05de16e056d5c671574b1f55197900", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "e413be5d04b5e70d8854da8ce7fe368cbead80ae0f84f7c2fc3c51677f013dfd", + "uniform_uint64_first_eight_hex": [ + "1aceb23c1d76b064", + "568ab81ccd85561a", + "6e9b35fe76bf7247", + "aa1ecca5eda96de6", + 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Then it converts the set back to a list and sorts it.\n\nPlease note that the function `set(l)` will not preserve the order of the elements, so if you need to keep the original order, you can use `list(dict.fromkeys(l))` instead.\n\n```python\ndef unique(l: list):\n return sorted(list(dict.fromkeys(l)))\n```\n\nThis function works by first creating a dictionary from the list, which also does not allow duplicate keys, and then converting it back to a list. The order of the elements is preserved in the list because dictionaries remember the order of items inserted as of Python version 3.7.", + "text_sha256": "8f1863c85866294e6fe7f9763be2bd16623ae9e5ffdba5c3ec0257a6d523fed0", + "uniform_steps_consumed": 207, + "uniform_uint64_prefix_sha256": "5f761246bebed68533f3cbdd12f98989674df897d82f18774e06e4da45c81af4", + "uniform_uint64_first_eight_hex": [ + "7c1f3da0e3043885", + "621bc58b1516d4a9", + "35310b89a0961872", + "9f677275e29d59f6", + "8ff9d889cced5de6", + "8561064cce917107", + "8f7ccbcf6ab4b880", + "3acc7ffc1503cc60" + ], + "task_score": { + "candidate_sha256": "037931606525b6248a4179955d08991702d43a1b912ca9bd4e29207bdcd6f380", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 118, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "d00be33d9e7ae1c889c85289fd49283adca47fb0a91682a5404b4ed50fb63742", + "generated_tokens": 173, + "generated_token_ids": [ + 2158, + 2606, + 245, + 1157, + 2030, + 19380, + 63, + 344, + 7578, + 254, + 24350, + 4730, + 4899, + 279, + 245, + 1525, + 11, + 340, + 481, + 938, + 254, + 1893, + 12974, + 2985, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 4730, + 7, + 75, + 25, + 1525, + 1780, + 185, + 300, + 8066, + 8925, + 24350, + 4730, + 4899, + 279, + 245, + 1525, + 24247, + 185, + 300, + 972, + 24350, + 7, + 1111, + 7, + 75, + 1509, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 19380, + 9244, + 20, + 11, + 207, + 18, + 11, + 207, + 20, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 18, + 11, + 207, + 24, + 11, + 207, + 15, + 11, + 207, + 16, + 17, + 18, + 26034, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 1022, + 30833, + 254, + 1525, + 276, + 245, + 845, + 11, + 588, + 7756, + 25072, + 688, + 23619, + 4899, + 1373, + 6230, + 889, + 2009, + 4730, + 4899, + 13, + 2928, + 11, + 359, + 17314, + 254, + 845, + 285, + 7578, + 254, + 24350, + 1525, + 13, + 185, + 185, + 549, + 2203, + 8175, + 430, + 254, + 1225, + 27467, + 946, + 276, + 1282, + 254, + 1157, + 366, + 245, + 1525, + 280, + 26559, + 13, + 429, + 2827, + 543, + 330, + 245, + 24350, + 1525, + 280, + 4730, + 4899, + 473, + 254, + 2782, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "efbee579549fdbca5e3606d4e7fdbe8cb16ce30eae252c9a63d41a639c0eaf80", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To create a function `unique` that returns the sorted unique elements in a list, you can use the following Python code:\n\n```python\ndef unique(l: list):\n \"\"\"Return sorted unique elements in a list\"\"\"\n return sorted(set(l))\n\n# Example usage:\nprint(unique([5, 3, 5, 2, 3, 3, 9, 0, 123]))\n```\n\nThis function works by first converting the list to a set, which automatically removes any duplicate elements because sets only allow unique elements. Then, it sorts the set and returns the sorted list.\n\nThe example usage at the end demonstrates how to call the function with a list of integers. The output will be a sorted list of unique elements from the input list.", + "text_sha256": "7698a6673bb8416ccaf42714e293ba1e6ef9b8e9e963e88532936249c8bff0c2", + "uniform_steps_consumed": 173, + "uniform_uint64_prefix_sha256": "b80433556dd7e1af5608a837a6436ff10c96c9e4361198feecd33bb5ebe8c0d0", + "uniform_uint64_first_eight_hex": [ + "7c1f3da0e3043885", + "621bc58b1516d4a9", + "35310b89a0961872", + "9f677275e29d59f6", + "8ff9d889cced5de6", + "8561064cce917107", + "8f7ccbcf6ab4b880", + "3acc7ffc1503cc60" + ], + "task_score": { + "candidate_sha256": "e2003ac61204550dbf630391709a6ccbd1e22eda50cd1a85fb6660d598098662", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 102, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "a4825c06f634aa50e9db51a882f942d52931c7bbd6cccde21fdae6451316fb9f", + "generated_tokens": 192, + "generated_token_ids": [ + 2158, + 2606, + 245, + 1157, + 2030, + 19380, + 63, + 344, + 7578, + 254, + 24350, + 4730, + 4899, + 279, + 245, + 1525, + 11, + 340, + 481, + 938, + 254, + 1893, + 12974, + 2985, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 4730, + 7, + 75, + 25, + 1525, + 1780, + 185, + 300, + 8066, + 8925, + 24350, + 4730, + 4899, + 279, + 245, + 1525, + 24247, + 185, + 300, + 972, + 24350, + 7, + 1111, + 7, + 75, + 1509, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 19380, + 9244, + 20, + 11, + 207, + 18, + 11, + 207, + 20, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 18, + 11, + 207, + 24, + 11, + 207, + 15, + 11, + 207, + 16, + 17, + 18, + 26034, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 254, + 2030, + 1111, + 63, + 1191, + 1449, + 276, + 4760, + 52124, + 473, + 254, + 1525, + 13, + 5512, + 6230, + 7756, + 4760, + 52124, + 11, + 30833, + 254, + 1525, + 276, + 245, + 845, + 543, + 2102, + 340, + 245, + 845, + 280, + 4730, + 4899, + 13, + 2928, + 11, + 395, + 5447, + 437, + 845, + 1062, + 276, + 245, + 1525, + 285, + 3734, + 359, + 1244, + 254, + 2030, + 58365, + 63, + 1157, + 13, + 185, + 185, + 549, + 2203, + 8175, + 430, + 254, + 1225, + 27467, + 946, + 276, + 1282, + 254, + 1157, + 366, + 245, + 6332, + 1525, + 13, + 429, + 2827, + 543, + 330, + 245, + 24350, + 1525, + 280, + 4730, + 4899, + 473, + 254, + 2782, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "2614cbbf28ab551328837fafa5746150399b979aa77fef9b3886e040bc0181c2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To create a function `unique` that returns the sorted unique elements in a list, you can use the following Python code:\n\n```python\ndef unique(l: list):\n \"\"\"Return sorted unique elements in a list\"\"\"\n return sorted(set(l))\n\n# Example usage:\nprint(unique([5, 3, 5, 2, 3, 3, 9, 0, 123]))\n```\n\nThis function uses the `set` data type to remove duplicates from the list. Since sets automatically remove duplicates, converting the list to a set will give you a set of unique elements. Then, we convert this set back to a list and sort it using the `sorted` function.\n\nThe example usage at the end demonstrates how to call the function with a sample list. The output will be a sorted list of unique elements from the input list.", + "text_sha256": "06e985e19a938ac4bf916909cb2817c15ff47ea15d3dde655e09b46c78d5b875", + "uniform_steps_consumed": 192, + "uniform_uint64_prefix_sha256": "2266d7b39f8852106d6f3cd02a8ad9e589f46b666f500100a16495afe8238ec8", + "uniform_uint64_first_eight_hex": [ + "7c1f3da0e3043885", + "621bc58b1516d4a9", + "35310b89a0961872", + "9f677275e29d59f6", + "8ff9d889cced5de6", + "8561064cce917107", + "8f7ccbcf6ab4b880", + "3acc7ffc1503cc60" + ], + "task_score": { + "candidate_sha256": "e2003ac61204550dbf630391709a6ccbd1e22eda50cd1a85fb6660d598098662", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 118, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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Finally, we will sort the resulting list in increasing order.\n\nHere's the Python code to achieve this:\n\n```python\ndef get_odd_collatz(n):\n def collatz_sequence(n):\n sequence = [n]\n while n != 1:\n if n % 2 == 0:\n n = n // 2\n else:\n n = 3 * n + 1\n sequence.append(n)\n return sequence\n \n # Generate the Collatz sequence\n sequence = collatz_sequence(n)\n \n # Filter out the odd numbers\n odd_numbers = [num for num in sequence if num % 2 != 0]\n \n # Sort the list in increasing order\n odd_numbers.sort()\n \n return odd_numbers\n\n# Example usage:\nprint(get_odd_collatz(5)) # Output: [1, 5]\n```\n\nThis code defines the `get_odd_collatz` function that takes an integer `n` and returns a sorted list of odd numbers in the Collatz sequence starting from `n`. The `collatz_sequence` helper function generates the Collatz sequence for a given number `n`. 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Finally, we will sort the resulting list of odd numbers.\n\nHere's the Python code to achieve this:\n\n```python\ndef get_odd_collatz(n):\n def collatz_sequence(number):\n sequence = [number]\n while number != 1:\n if number % 2 == 0:\n number = number // 2\n else:\n number = 3 * number + 1\n sequence.append(number)\n return sequence\n \n # Generate the Collatz sequence\n sequence = collatz_sequence(n)\n \n # Filter out the odd numbers\n odd_numbers = [num for num in sequence if num % 2 != 0]\n \n # Sort the list of odd numbers\n odd_numbers.sort()\n \n return odd_numbers\n\n# Example usage:\nprint(get_odd_collatz(5)) # Output: [1, 5]\n```\n\nThis code defines the `get_odd_collatz` function that takes an integer `n` and returns a sorted list of odd numbers in the Collatz sequence starting from `n`. The `collatz_sequence` helper function generates the Collatz sequence for a given number. 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sequence function and then filter out the odd numbers from the sequence. Here's the approach:\n\n1. Define a function `collatz_sequence(n)` that generates the Collatz sequence for a given number `n`.\n2. Inside this function, create a loop that continues until `n` is 1.\n3. For each iteration, check if `n` is even or odd.\n4. If `n` is even, divide it by 2. If `n` is odd, multiply it by 3 and add 1.\n5. Append the result to the sequence.\n6. After the loop, return the sequence.\n7. Define the `get_odd_collatz(n)` function that calls `collatz_sequence(n)` and filters out the odd numbers.\n8. Call `collatz_sequence(n)` and store the result.\n9. Filter out the odd numbers by creating a new list that only includes elements where the number is odd.\n10. Sort the filtered list and return it.\n\nHere's the implementation of the above approach:\n\n```python\ndef collatz_sequence(n):\n sequence = [n]\n while n != 1:\n if n % 2 == 0:\n n = n // 2\n else:\n n = 3 * n + 1\n sequence.append(n)\n return sequence\n\ndef get_odd_collatz(n):\n sequence = collatz_sequence(n)\n odd_numbers = [num for num in sequence if num % 2 != 0]\n odd_numbers.sort()\n return odd_numbers\n\n# Example usage:\nprint(get_odd_collatz(5)) # Output: [1, 5]\n```\n\nThis code defines the `get_odd_collatz` function, which takes a positive integer `n` and returns a sorted list of odd numbers in the Collatz sequence starting from `n`. The `collatz_sequence` function generates the Collatz sequence for a given number `n`. The `get_odd_collatz` function then filters out the odd numbers and sorts them before returning them.", + "text_sha256": "0ab73f38b0344c1057f54897ac338f69a0b7aa574611741a82d4c6f237b6314a", + "uniform_steps_consumed": 507, + "uniform_uint64_prefix_sha256": "f08bbdabd2c49f8b117834cc05552d4d1043c4901293684b37b4d45d5efb05ae", + "uniform_uint64_first_eight_hex": [ + "8cc0580ca0a47df2", + "32ed597eaaa63a81", + "64107a79fe1b24fd", + "56704ebe258f03b1", + "a7a38a064aadce0b", + "4231bdbd1517967f", + "0e89f018e2a1edad", + "4636ee66e448dd50" + ], + "task_score": { + "candidate_sha256": "a575ea8a3362616bebcc19f22b1a3411297ccd9cbccf14edc55feca2f401dd30", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 286, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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5]\nprint(get_odd_collatz(1)) # [1]\nprint(get_odd_collatz(2)) # [1]\nprint(get_odd_collatz(3)) # [1, 10]\nprint(get_odd_collatz(4)) # [1, 10]", + "text_sha256": "80908edacdf8bbc53236004f04653f96d1ad2b837f7895c08e9b8e94d42cdcb9", + "uniform_steps_consumed": 205, + "uniform_uint64_prefix_sha256": "32fe5eccc5f12f27e1d511255417ad505db207233636d3ce9494cc9815100403", + "uniform_uint64_first_eight_hex": [ + "8cc0580ca0a47df2", + "32ed597eaaa63a81", + "64107a79fe1b24fd", + "56704ebe258f03b1", + "a7a38a064aadce0b", + "4231bdbd1517967f", + "0e89f018e2a1edad", + "4636ee66e448dd50" + ], + "task_score": { + "candidate_sha256": "7d9f5a4014b78743bedb147e94099c6453f9e7e6b9791ace6257548e632c0096", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "HumanEval/77", + "domain": "code", + "label": "Python code", + "within_domain_index": 7, + "selection_rank": 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If it is, then `a` is a perfect cube. Here's how you can implement this in Python:\n\n```python\nimport math\n\ndef is_cube(a):\n # Calculate the cube root of a\n cube_root = round(a ** (1/3))\n \n # Check if the cube root is an integer\n return cube_root ** 3 == a\n\n# Test cases\nprint(is_cube(1)) # True\nprint(is_cube(2)) # False\nprint(is_cube(-1)) # True\nprint(is_cube(64)) # True\nprint(is_cube(0)) # True\nprint(is_cube(180)) # False\n```\n\nThis function first calculates the cube root of `a` by raising `a` to the power of `1/3`. The `round()` function is used to ensure that the cube root is an integer. 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Take the cube root of `a` to find the smallest integer `n` such that `n^3 <= a`.\n2. Check if `n^3` equals `a`.\n3. If `n^3` equals `a`, then `a` is a cube of some integer.\n\nHere's the implementation of the function `iscube`:\n\n```python\nimport math\n\ndef iscube(a):\n # Step 1: Find the smallest integer n such that n^3 <= a\n n = int(math.pow(a, 1/3))\n \n # Step 2: Check if n^3 equals a\n return n**3 == a\n\n# Test cases\nprint(iscube(1)) # True\nprint(iscube(2)) # False\nprint(iscube(-1)) # True\nprint(iscube(64)) # True\nprint(iscube(0)) # True\nprint(iscube(180)) # False\n```\n\nThis function uses the `math.pow` function to calculate the cube root of `a` and then checks if the cube of this root equals `a`. 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Take the cube root of `a` to find the smallest integer `n` such that `n^3 <= a`.\n2. Check if `n^3` equals `a`.\n3. If `n^3` equals `a`, return `True`.\n4. If `n^3` does not equal `a`, increment `n` and repeat steps 2 and 3.\n5. If no integer `n` satisfies `n^3 <= a`, return `False`.\n\nHere's the implementation of the function:\n\n```python\nimport math\n\ndef iscube(a):\n # Step 1: Find the smallest integer n such that n^3 <= a\n n = int(math.pow(a, 1/3))\n \n # Step 2: Check if n^3 equals a\n if n**3 == a:\n return True\n else:\n # Step 3: Increment n and repeat steps 2 and 3\n while n**3 < a:\n n += 1\n if n**3 == a:\n return True\n # Step 4: If no integer n satisfies n^3 <= a, return False\n return False\n\n# Test cases\nprint(iscube(1)) # True\nprint(iscube(2)) # False\nprint(iscube(-1)) # True\nprint(iscube(64)) # True\nprint(iscube(0)) # True\nprint(iscube(180))# False\n```\n\nThis function uses the `math.pow` function to calculate the cube root and then checks if the cube root cubed is equal to the original number. If the cube root is an integer, it returns `True`, otherwise, it increments the cube root and checks again until it finds an integer cube root or determines that none exist.", + "text_sha256": "3e625e266324b6d73f1e0189098ec5c10ce60a6e3b65f5779d2e103aa45afb17", + "uniform_steps_consumed": 439, + "uniform_uint64_prefix_sha256": "b8138c5d52ef9828a493fd33f18d8ff178c4273ed751781a6107cda0fd247685", + "uniform_uint64_first_eight_hex": [ + "9560734b318e4adf", + "3904034e3fb0ad9c", + "35bceea531e758f9", + "eb03089de29fa64f", + "cea61607f747baf5", + "af9fbdb16b64ce5a", + "4c7f4e313d1a63a6", + "6c8586068c96823b" + ], + "task_score": { + "candidate_sha256": "5c258a2b7d7dd805c2d47568eb73cbd5e5557739f3946e4777e95fbdbb0fb2ea", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 156, + 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" Here is the implementation of the `filter_integers` function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses list comprehension to iterate over the `values` list and includes only those elements that are instances of `int`.", + "text_sha256": "ecf406fc5616d4f6b261cabf5bf494671e78939e3b40475b59c29ec3a1f6adee", + "uniform_steps_consumed": 163, + "uniform_uint64_prefix_sha256": "4053ce39293d8d9df68b0d94c58d6a2f4f34a0603abccf1f1ba776d4de8ffe83", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7691122ec2f8f733dc915a4f5c39ed11844344cb8ba4fe03d6618e40bfd2082f", + "generated_tokens": 189, + "generated_token_ids": [ + 4462, + 6, + 82, + 245, + 12974, + 1157, + 344, + 16674, + 245, + 1525, + 280, + 688, + 12974, + 3039, + 276, + 889, + 3433, + 26559, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 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"b0d6a6b536299f157b71e34d2736d7a2e497c1bcb424cc2e27b828c17bc494b9", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's a Python function that filters a list of any Python values to only include integers:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to iterate over each value in the input list. The `isinstance(value, int)` check ensures that only values that are instances of the `int` type are included in the output list.", + "text_sha256": "d32dfb3c3c689a170d9ead38325a7ce7356dcdb971151ff85e6748add0c1b28c", + "uniform_steps_consumed": 189, + "uniform_uint64_prefix_sha256": "6cc2f09950b72af308d4bf4a4f9dd54be1ef3e097c22f8f8f73f189c51dc0368", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 123, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "3cfb93f9154faac528811f3f119081dc8fb77bc2562ea7fec6229f447344a156", + "generated_tokens": 212, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 276, + 43667, + 855, + 254, + 2782, + 1525, + 2030, + 9253, + 63, + 285, + 3433, + 889, + 1462, + 4899, + 344, + 418, + 280, + 1449, + 2030, + 572, + 13557, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 245, + 1525, + 46950, + 276, + 2606, + 245, + 761, + 1525, + 344, + 5312, + 889, + 254, + 26559, + 473, + 254, + 2782, + 1525, + 2030, + 9253, + 13557, + 429, + 2030, + 262, + 9666, + 7, + 2834, + 11, + 1098, + 64166, + 2341, + 18971, + 344, + 889, + 26559, + 418, + 5598, + 279, + 254, + 761, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "6faf844ccf7c6dbc008fe3318eb2dc0af6f7d09d89ab2620997a6b65478c239a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use a list comprehension to iterate over the input list `values` and include only those elements that are of type `int`. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to create a new list that includes only the integers from the input list `values`. The `isinstance(value, int)` check ensures that only integers are included in the new list.", + "text_sha256": "b09e5e0d2bd7d655d8e33bce3b59520d12b974d2cae9783b973e4e23a6c42eb1", + "uniform_steps_consumed": 212, + "uniform_uint64_prefix_sha256": "3ad20ee1c3cfb702a7b29704dbcaff891fd3f171271a4e21e22789b766103421", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "be7f8eaaba596aeb1a26f1d04183f77cfa8b116679b9ebddb90601107b5d700a", + "generated_tokens": 211, + "generated_token_ids": [ + 2158, + 6226, + 245, + 1525, + 280, + 688, + 12974, + 3039, + 327, + 26559, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 276, + 2606, + 245, + 761, + 1525, + 344, + 5312, + 889, + 254, + 26559, + 473, + 254, + 3632, + 1525, + 13, + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 245, + 1525, + 46950, + 276, + 43667, + 855, + 1319, + 3699, + 279, + 254, + 2030, + 9253, + 63, + 1525, + 13, + 429, + 2030, + 262, + 9666, + 7, + 2834, + 11, + 1098, + 64166, + 2341, + 18971, + 344, + 889, + 10858, + 3039, + 418, + 5598, + 279, + 254, + 761, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "ed35278778103db9f04614a06263d5af361cd61fd9fe3912001ac91dbf538d6a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To filter a list of any Python values for integers, you can use a list comprehension to create a new list that includes only the integers from the original list. Here's the implementation of the `filter_integers` function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to iterate over each element in the `values` list. The `isinstance(value, int)` check ensures that only integer values are included in the new list.", + "text_sha256": "ad20ec9afd2eadf3d276f42f618b748ac888c46eae59d4d9c8d6d169ecfa1e72", + "uniform_steps_consumed": 211, + "uniform_uint64_prefix_sha256": "c32b7fddb30249b271ca3f87cc46dc87c8dc24f88dd1bae6c64aa4ac069f04e9", + "uniform_uint64_first_eight_hex": [ + "de511a3bfc949272", + "b376b0bc4ec7e284", + "f4bfd321c93f943e", + "20fc7428998c80a2", + "a37aa8b89b703e90", + "3188ff388ffb379b", + "43be129ba7941ec5", + "d67c91233d38200f" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + }, + { + "replicate_index": 1, + "replicate_label": "T1", + "tape_label": "T1", + "base_seed": 399507326, + "run_seed": 9041671785486071044, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "e89aecdf3e1003682e28e92bc2d79863ed327eeadeefda70a528eed94c176e37", + "cuda_device_sha256": [ + "eef35f74f8eb78cc4e0467e443af8648499eba731a1cc5032281c4fe251ffabb" + ], + "cuda_combined_sha256": "ec2181bb4fe045ba9000d741b34788eed66e5d5983c30755a1714b889f0d3291" + }, + "rng_state_after": { + "cpu_sha256": "e89aecdf3e1003682e28e92bc2d79863ed327eeadeefda70a528eed94c176e37", + "cuda_device_sha256": [ + "eef35f74f8eb78cc4e0467e443af8648499eba731a1cc5032281c4fe251ffabb" + ], + "cuda_combined_sha256": "ec2181bb4fe045ba9000d741b34788eed66e5d5983c30755a1714b889f0d3291" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 248, + "uniform_uint64_sha256": "c24d842bb159199e401b6c4d5cfe3d3aaa6a04d79d08b42b2c813862fe111550", + "uniform_uint64_first_eight_hex": [ + "45a8e3968ccf7aa1", + "19e4ac88fc24755f", + "d64c164094c4623c", + "79da7d3b70e9c3b8", + "9c8efa808705ff16", + "c1c464cd464fcac5", + "6894c7b07ff1e2ed", + "f764378e3cf6c625" + ], + "uniform_float32_first_eight": [ + 0.2721082866191864, + 0.10114553570747375, + 0.8370984792709351, + 0.4759901165962219, + 0.6115567088127136, + 0.7569029927253723, + 0.4085201919078827, + 0.9663729667663574 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 5, + "generation_seconds": 44.49121610500151, + "peak_cuda_memory_allocated_bytes": 28773071872, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 123, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "99f8dfd93c18d95f8c946f222194a75d33d59b9c7c7e083a6529fded1e768650", + "generated_tokens": 235, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 11, + 340, + 481, + 938, + 254, + 2030, + 262, + 9666, + 63, + 1157, + 276, + 2341, + 565, + 1319, + 3699, + 279, + 254, + 1525, + 317, + 274, + 10858, + 13, + 1273, + 359, + 317, + 11, + 340, + 962, + 359, + 276, + 245, + 761, + 1525, + 13, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 1525, + 46950, + 276, + 2606, + 245, + 761, + 1525, + 344, + 889, + 5410, + 254, + 26559, + 473, + 254, + 3632, + 1525, + 13, + 429, + 2030, + 262, + 9666, + 63, + 1157, + 14180, + 565, + 254, + 1437, + 317, + 274, + 3940, + 280, + 254, + 2030, + 572, + 63, + 762, + 11, + 588, + 2456, + 359, + 6, + 82, + 274, + 10858, + 13, + 1273, + 359, + 317, + 11, + 254, + 1437, + 317, + 5598, + 279, + 254, + 761, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "cc52ee06dc37ec157e7bf2f40ebe06140681bf6eea629915c69b1015a792f13b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use the `isinstance` function to check if each element in the list is an integer. If it is, you add it to a new list. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses list comprehension to create a new list that only contains the integers from the original list. The `isinstance` function checks if the value is an instance of the `int` class, which means it's an integer. If it is, the value is included in the new list.", + "text_sha256": "b2c4bac64da16a53d3efe394a795edfdd2289dbcc601261326af9fa73b2776bb", + "uniform_steps_consumed": 235, + "uniform_uint64_prefix_sha256": "95deef2bf0a324deb872c4faead09602f07f77c5aa286ce28b1da6bf21824005", + "uniform_uint64_first_eight_hex": [ + "45a8e3968ccf7aa1", + "19e4ac88fc24755f", + "d64c164094c4623c", + "79da7d3b70e9c3b8", + "9c8efa808705ff16", + "c1c464cd464fcac5", + "6894c7b07ff1e2ed", + "f764378e3cf6c625" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7691122ec2f8f733dc915a4f5c39ed11844344cb8ba4fe03d6618e40bfd2082f", + "generated_tokens": 248, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 344, + 91281, + 855, + 254, + 2782, + 1525, + 2030, + 9253, + 63, + 285, + 14180, + 254, + 1449, + 280, + 1319, + 3699, + 13, + 1273, + 254, + 3699, + 317, + 274, + 10858, + 11, + 359, + 317, + 53676, + 276, + 254, + 761, + 1525, + 2030, + 6607, + 8563, + 13557, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 254, + 2030, + 262, + 9666, + 63, + 1157, + 276, + 2341, + 565, + 254, + 1437, + 317, + 274, + 10858, + 285, + 889, + 5312, + 359, + 279, + 254, + 2827, + 565, + 359, + 317, + 13, + 429, + 2030, + 2255, + 58, + 6902, + 60, + 63, + 1449, + 13357, + 11098, + 344, + 254, + 1157, + 481, + 3900, + 688, + 1449, + 280, + 3039, + 11, + 588, + 317, + 4374, + 327, + 254, + 2401, + 1460, + 1066, + 254, + 2782, + 1525, + 481, + 3780, + 688, + 1449, + 280, + 3039, + 13, + 100001 + ], + "generated_token_ids_sha256": "bdd5e3b19356f743b440675dfa377cb95ba3e05218d834cf9ad4e64051df1f57", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use a list comprehension that iterates over the input list `values` and checks the type of each element. If the element is an integer, it is appended to the new list `integers`. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses the `isinstance` function to check if the value is an integer and only includes it in the output if it is. The `List[Any]` type hint indicates that the function can accept any type of values, which is necessary for the general case where the input list can contain any type of values.", + "text_sha256": "512d1c1ed0a324111d8bf5705f32e0d5b9afba170f7b7bb8deaaa6bd19cf5f34", + "uniform_steps_consumed": 248, + "uniform_uint64_prefix_sha256": "c24d842bb159199e401b6c4d5cfe3d3aaa6a04d79d08b42b2c813862fe111550", + "uniform_uint64_first_eight_hex": [ + "45a8e3968ccf7aa1", + "19e4ac88fc24755f", + "d64c164094c4623c", + "79da7d3b70e9c3b8", + "9c8efa808705ff16", + "c1c464cd464fcac5", + "6894c7b07ff1e2ed", + "f764378e3cf6c625" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 123, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "3cfb93f9154faac528811f3f119081dc8fb77bc2562ea7fec6229f447344a156", + "generated_tokens": 228, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 344, + 91281, + 1184, + 1319, + 3699, + 279, + 254, + 2782, + 1525, + 2030, + 9253, + 63, + 285, + 14180, + 565, + 359, + 317, + 274, + 10858, + 1244, + 254, + 2030, + 262, + 9666, + 63, + 1157, + 13, + 1273, + 254, + 3699, + 317, + 274, + 10858, + 11, + 359, + 317, + 5598, + 279, + 254, + 2827, + 1525, + 13, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 245, + 761, + 1525, + 8891, + 889, + 254, + 26559, + 473, + 254, + 2782, + 1525, + 13, + 13679, + 12, + 22516, + 3039, + 11, + 1108, + 372, + 14404, + 11, + 60088, + 11, + 11971, + 11, + 38396, + 11, + 285, + 750, + 5009, + 11, + 543, + 330, + 17702, + 13, + 100001 + ], + "generated_token_ids_sha256": "3b59d8d961408884bf84b61294c22065cd85548068fed57a2dafa4f872f55383", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use a list comprehension that iterates through each element in the input list `values` and checks if it is an integer using the `isinstance` function. If the element is an integer, it is included in the output list. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function will return a new list containing only the integers from the input list. Non-integer values, such as strings, floats, lists, dictionaries, and other types, will be ignored.", + "text_sha256": "b6188d85bb7d7d36f6e3cc4b1b8f4d934c96554b833b1b446cdec2997c9f32e4", + "uniform_steps_consumed": 228, + "uniform_uint64_prefix_sha256": "cd3691098abe5cc9990b892b1f0daf635d1ca1f89b3df4e77ce3e2890f7b341e", + "uniform_uint64_first_eight_hex": [ + "45a8e3968ccf7aa1", + "19e4ac88fc24755f", + "d64c164094c4623c", + "79da7d3b70e9c3b8", + "9c8efa808705ff16", + "c1c464cd464fcac5", + "6894c7b07ff1e2ed", + "f764378e3cf6c625" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "be7f8eaaba596aeb1a26f1d04183f77cfa8b116679b9ebddb90601107b5d700a", + "generated_tokens": 213, + "generated_token_ids": [ + 2158, + 6226, + 245, + 1525, + 280, + 688, + 12974, + 3039, + 327, + 26559, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 344, + 91281, + 1184, + 1319, + 1437, + 279, + 254, + 1525, + 285, + 14180, + 565, + 359, + 317, + 274, + 10858, + 1244, + 254, + 2030, + 262, + 9666, + 46120, + 1157, + 13, + 1273, + 254, + 1437, + 317, + 274, + 10858, + 11, + 359, + 317, + 5598, + 279, + 254, + 761, + 1525, + 13, + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 245, + 761, + 1525, + 8891, + 889, + 254, + 26559, + 1503, + 279, + 254, + 2782, + 1525, + 2030, + 9253, + 13557, + 100001 + ], + "generated_token_ids_sha256": "3b87a9035995f05a43fcd26999eb3af45e4ceb23a9c6bf4fcc2834704ae518ab", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To filter a list of any Python values for integers, you can use a list comprehension that iterates through each value in the list and checks if it is an integer using the `isinstance()` function. If the value is an integer, it is included in the new list. Here's the implementation of the `filter_integers` function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function will return a new list containing only the integers found in the input list `values`.", + "text_sha256": "81e7a070d521e995a4806324a16104f0b0b14a4c4b8edfcc031279964c350b45", + "uniform_steps_consumed": 213, + "uniform_uint64_prefix_sha256": "a9b7fd72485bd3a395fd145488b66a2d4cebdcb8af197de27a099e610b8b48e1", + "uniform_uint64_first_eight_hex": [ + "45a8e3968ccf7aa1", + "19e4ac88fc24755f", + "d64c164094c4623c", + "79da7d3b70e9c3b8", + "9c8efa808705ff16", + "c1c464cd464fcac5", + "6894c7b07ff1e2ed", + "f764378e3cf6c625" + ], + "task_score": { + "candidate_sha256": 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254, + 1525, + 280, + 26559, + 13, + 100001 + ], + "generated_token_ids_sha256": "bfe4dfe65748228f7c16d428bcaa50603d26f4ee1c4860986c2693103999de5e", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use the built-in Python function `isinstance` to check if each element in the input list `values` is an integer. If it is, you add it to a new list `integers`. Here's how you can do it:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\"\n Filter given list of any python values only for integers.\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n integers = []\n for value in values:\n if isinstance(value, int):\n integers.append(value)\n return integers\n```\n\nThis function will iterate through each element in the input list `values`, check if it is an instance of an integer using `isinstance`, and if it is, it will append it to the `integers` list. Finally, it will return the list of integers.", + "text_sha256": "f94cc836f56c44b23b611fffdbead2ddfd1a14957023b17a6bd0b0669c7f421b", + "uniform_steps_consumed": 263, + "uniform_uint64_prefix_sha256": "9ebd2eed909d50d328725242d18c3726e950567a7767281ec6f1a8873419885f", + "uniform_uint64_first_eight_hex": [ + "d5408eff6feede52", + "8c30feb8e4c8bac0", + "f42a39f8b4c371c2", + "510b627d73f68583", + "ccaa1f4bcc9b8ec9", + "26604b35d5d06af2", + "fd77775a9609285a", + "426bd04d89df1f0e" + ], + "task_score": { + "candidate_sha256": "2003939829a4ba4052c69b637b647ebad3c73bf8a67f5c3bc44994232bc6e264", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7691122ec2f8f733dc915a4f5c39ed11844344cb8ba4fe03d6618e40bfd2082f", + "generated_tokens": 109, + 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"text": " Here's the implementation of the `filter_integers` function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to iterate over the `values` list and includes only those elements that are instances of the `int` class.", + "text_sha256": "4d4b44b4ffdae457343b4f4558fafe47bcf131c57a39ec5326a537900d9e91f8", + "uniform_steps_consumed": 109, + "uniform_uint64_prefix_sha256": "fbcd9920eaf195dca3db76923d6476e9db1eedee3088ffecb8990f6945857afb", + "uniform_uint64_first_eight_hex": [ + "d5408eff6feede52", + "8c30feb8e4c8bac0", + "f42a39f8b4c371c2", + "510b627d73f68583", + "ccaa1f4bcc9b8ec9", + "26604b35d5d06af2", + "fd77775a9609285a", + "426bd04d89df1f0e" + ], + "task_score": { + "candidate_sha256": 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Here's the complete implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\"\n Filter given list of any python values only for integers.\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n\n# Test cases\nprint(filter_integers(['a', 3.14, 5])) # Output: [5]\nprint(filter_integers([1, 2, 3, 'abc', {}, []])) # Output: [1, 2, 3]\n```\n\nThis function uses the `isinstance` function to check if each element in the list is an integer. If the element is an instance of the `int` class, it is included in the resulting list. 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Here's how you can implement this function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to create a new list that includes only the integers from the input list `values`. The `isinstance` function checks if a value is of type `int`. If the value is an integer, it is included in the new list. 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If the type is `int`, it includes the element in the result list. Here's how you can write the function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses a list comprehension to create a new list that includes only the integers from the input list. The `isinstance` function is used to check if the current value is an integer. If it is, the value is included in the new list.", + "text_sha256": "30444b01343b6b170974f82a23367e644131ac33c2b15214f27d4c0fe5393e63", + "uniform_steps_consumed": 236, + "uniform_uint64_prefix_sha256": "ada1b39d97a8e28db3129dd3662f5b10572f774b49a58465ffe5048cffdc1dc6", + "uniform_uint64_first_eight_hex": [ + "69959f7a01c65163", + "59bf7fd445d030b5", + "9a9f9da08ff3f485", + "f455efabc316ecbf", + "2ca654c396a014bc", + "771e1be04121b472", + "2e1faf268cd5b9b0", + "21e2d2cd63a806b1" + ], + "task_score": { + "candidate_sha256": "19ad98b6b4575e79bad5840e69cf6a7b771f88b17cd26042eeda1a129c7a0958", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 139, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7691122ec2f8f733dc915a4f5c39ed11844344cb8ba4fe03d6618e40bfd2082f", + "generated_tokens": 258, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 8664, + 62, + 6607, + 8563, + 63, + 1157, + 11, + 340, + 481, + 938, + 245, + 1525, + 46950, + 344, + 91281, + 855, + 254, + 2782, + 1525, + 285, + 14180, + 565, + 1319, + 3699, + 317, + 274, + 10858, + 13, + 1273, + 359, + 317, + 11, + 359, + 12852, + 254, + 10858, + 276, + 245, + 761, + 1525, + 13, + 4462, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 3163, + 23134, + 1666, + 5896, + 11, + 6295, + 185, + 185, + 1558, + 6226, + 62, + 6607, + 8563, + 7, + 9253, + 25, + 5896, + 58, + 6902, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 8066, + 25237, + 2028, + 1525, + 280, + 688, + 9934, + 3039, + 889, + 327, + 26559, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 29818, + 64, + 1185, + 207, + 18, + 13, + 16, + 19, + 11, + 207, + 20, + 5855, + 185, + 300, + 825, + 20, + 60, + 185, + 300, + 24922, + 6226, + 62, + 6607, + 8563, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 655, + 22654, + 1185, + 28768, + 9636, + 5855, + 185, + 300, + 825, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 300, + 8066, + 185, + 300, + 972, + 825, + 2834, + 327, + 1437, + 279, + 3039, + 565, + 35308, + 7, + 2834, + 11, + 1098, + 6635, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 254, + 2030, + 262, + 9666, + 63, + 1157, + 276, + 2341, + 565, + 1319, + 3699, + 317, + 274, + 10858, + 13, + 429, + 2030, + 262, + 9666, + 63, + 1157, + 7578, + 2030, + 8173, + 63, + 565, + 254, + 2159, + 334, + 6102, + 6758, + 8, + 317, + 274, + 3940, + 410, + 61322, + 280, + 762, + 4904, + 762, + 334, + 9345, + 6758, + 654, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 685, + 437, + 1460, + 11, + 359, + 14180, + 565, + 254, + 1437, + 317, + 274, + 3940, + 280, + 2030, + 572, + 13557, + 1273, + 359, + 317, + 11, + 254, + 1437, + 317, + 5598, + 279, + 254, + 761, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "e76d91b9730374868dfe90ace3b16b967158afa34fd8144f74c2997df8fa98c8", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `filter_integers` function, you can use a list comprehension that iterates over the input list and checks if each element is an integer. If it is, it adds the integer to a new list. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses the `isinstance` function to check if each element is an integer. The `isinstance` function returns `True` if the object (first argument) is an instance or subclass of classinfo class (second argument), and `False` otherwise. In this case, it checks if the value is an instance of `int`. 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If the type is `int`, it includes the element in the resulting list. Here's the implementation:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n\n# Test cases\nprint(filter_integers(['a', 3.14, 5])) # Output: [5]\nprint(filter_integers([1, 2, 3, 'abc', {}, []])) # Output: [1, 2, 3]\n```\n\nThis function uses the `isinstance` function to check if the value is an integer. If it is, the value is included in the resulting list. 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Here's how you can implement this function:\n\n```python\nfrom typing import List, Any\n\ndef filter_integers(values: List[Any]) -> List[int]:\n \"\"\" Filter given list of any python values only for integers\n >>> filter_integers(['a', 3.14, 5])\n [5]\n >>> filter_integers([1, 2, 3, 'abc', {}, []])\n [1, 2, 3]\n \"\"\"\n return [value for value in values if isinstance(value, int)]\n```\n\nThis function uses list comprehension to create a new list that includes only the integers from the input list `values`. 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Define a function `is_prime` that checks if a number is prime.\n2. Define the `intersection` function that calculates the intersection of two intervals and checks if the length of the intersection is prime.\n3. Handle the case where the intervals don't intersect by returning \"NO\".\n4. Return \"YES\" if the length of the intersection is prime and \"NO\" otherwise.\n\nHere's the Python code that implements the above logic:\n\n```python\ndef is_prime(n):\n \"\"\"Check if a number is prime.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n\ndef intersection(interval1, interval2):\n \"\"\"Calculate the intersection of two intervals and check if the length is prime.\"\"\"\n start = max(interval1[0], interval2[0])\n end = min(interval1[1], interval2[1])\n length = end - start + 1\n \n if length <= 0:\n return \"NO\"\n \n return \"YES\" if is_prime(length) else \"NO\"\n\n# Test cases\nprint(intersection((1, 2), (2, 3))) # Output: \"NO\"\nprint(intersection((-1, 1), (0, 4))) # Output: \"NO\"\nprint(intersection((-3, -1), (-5, 5))) # Output: \"YES\"\n```\n\nThis code defines the `is_prime` function to check if a number is prime and the `intersection` function to handle the intersection of two intervals and determine if the length of the intersection is prime. The test cases at the end demonstrate how the `intersection` function behaves with the given examples.", + "text_sha256": "65a93fcda5121c322ac3421b95786cb5f9d8a900fdfec6dc7cead27da0fdcb09", + "uniform_steps_consumed": 475, + "uniform_uint64_prefix_sha256": "a4e761344476c1316977b2e18b36c8dc9c5841fc56ccb17de2d6c9ed0c9ea178", + "uniform_uint64_first_eight_hex": [ + "dc3f6bfa343e1a91", + "1746f950bf4f2354", + "08e62f30261820f4", + "e4ae65dd8f164b25", + "5a884a84be0edec1", + "d3c46a2e951e982b", + "b18a92ee472e0296", + "10c27bcd6ead8c38" + ], + "task_score": { + "candidate_sha256": "6c17e0b3fb73d9df25651727b6a964c44322de8d232e113780dd6014a0b48d18", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 313, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "24ca147ea1e0fe2cd58f14f79b0580891e1f6e7cd56d4e268fdf32f8818850d8", + "generated_tokens": 468, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 1157, + 2030, + 262, + 62, + 6620, + 63, + 344, + 4497, + 274, + 10858, + 285, + 7578, + 2030, + 8173, + 63, + 565, + 359, + 6, + 82, + 9966, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 185, + 17, + 13, + 30482, + 245, + 1157, + 2030, + 67627, + 62, + 4092, + 63, + 344, + 61927, + 254, + 3973, + 280, + 254, + 20481, + 280, + 984, + 17761, + 13, + 185, + 18, + 13, + 30482, + 254, + 2030, + 67627, + 63, + 1157, + 344, + 5131, + 2030, + 262, + 62, + 6620, + 63, + 285, + 2030, + 67627, + 62, + 4092, + 63, + 276, + 6983, + 565, + 254, + 3973, + 280, + 254, + 20481, + 317, + 9966, + 285, + 7578, + 254, + 6854, + 2662, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 23546, + 254, + 2330, + 10881, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 7109, + 565, + 10858, + 291, + 317, + 245, + 9966, + 1604, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 185, + 1558, + 20481, + 62, + 4092, + 7, + 25609, + 16, + 11, + 11501, + 17, + 1780, + 185, + 300, + 8066, + 72001, + 254, + 3973, + 280, + 254, + 20481, + 280, + 984, + 17761, + 27823, + 185, + 300, + 1330, + 403, + 3044, + 7, + 25609, + 16, + 58, + 15, + 2717, + 11501, + 17, + 58, + 15, + 5855, + 185, + 300, + 1225, + 403, + 1349, + 7, + 25609, + 16, + 58, + 16, + 2717, + 11501, + 17, + 58, + 16, + 5855, + 185, + 300, + 972, + 1225, + 570, + 1330, + 919, + 207, + 16, + 185, + 185, + 1558, + 20481, + 7, + 25609, + 16, + 11, + 11501, + 17, + 1780, + 185, + 300, + 8066, + 51243, + 479, + 565, + 254, + 3973, + 280, + 254, + 20481, + 317, + 9966, + 27823, + 185, + 300, + 20481, + 62, + 4092, + 62, + 2834, + 403, + 20481, + 62, + 4092, + 7, + 25609, + 16, + 11, + 11501, + 17, + 8, + 185, + 300, + 972, + 440, + 39480, + 1, + 565, + 317, + 62, + 6620, + 7, + 67627, + 62, + 4092, + 62, + 2834, + 8, + 1979, + 440, + 8320, + 1, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 67627, + 6034, + 16, + 11, + 207, + 17, + 654, + 334, + 17, + 11, + 207, + 18, + 15196, + 207, + 1501, + 440, + 8320, + 1, + 185, + 4134, + 7, + 67627, + 6034, + 12, + 16, + 11, + 207, + 16, + 654, + 334, + 15, + 11, + 207, + 19, + 15196, + 207, + 1501, + 440, + 8320, + 1, + 185, + 4134, + 7, + 67627, + 6034, + 12, + 18, + 11, + 570, + 16, + 654, + 9970, + 20, + 11, + 207, + 20, + 15196, + 207, + 1501, + 440, + 39480, + 1, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 4374, + 4908, + 285, + 5131, + 768, + 276, + 6983, + 254, + 20481, + 3973, + 285, + 3203, + 359, + 6, + 82, + 9966, + 11, + 14108, + 254, + 6854, + 2662, + 13, + 100001 + ], + "generated_token_ids_sha256": "2bd9409092aa1881ce1099581bd2c0daed58578755841b869dc951e4de63ad66", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to:\n\n1. Define a function `is_prime` that takes an integer and returns `True` if it's prime and `False` otherwise.\n2. Define a function `intersection_length` that calculates the length of the intersection of two intervals.\n3. Define the `intersection` function that uses `is_prime` and `intersection_length` to determine if the length of the intersection is prime and returns the appropriate string.\n\nHere's the Python code implementing the above logic:\n\n```python\ndef is_prime(n):\n \"\"\"Check if integer n is a prime number.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n\ndef intersection_length(interval1, interval2):\n \"\"\"Calculate the length of the intersection of two intervals.\"\"\"\n start = max(interval1[0], interval2[0])\n end = min(interval1[1], interval2[1])\n return end - start + 1\n\ndef intersection(interval1, interval2):\n \"\"\"Determine if the length of the intersection is prime.\"\"\"\n intersection_length_value = intersection_length(interval1, interval2)\n return \"YES\" if is_prime(intersection_length_value) else \"NO\"\n\n# Test cases\nprint(intersection((1, 2), (2, 3))) # \"NO\"\nprint(intersection((-1, 1), (0, 4))) # \"NO\"\nprint(intersection((-3, -1), (-5, 5))) # \"YES\"\n```\n\nThis code defines the necessary functions and uses them to determine the intersection length and whether it's prime, returning the appropriate string.", + "text_sha256": "403aecb9cba84c8e1f6a8433d1f71d3839dd3e065157b71027a2f5df3b674a6a", + "uniform_steps_consumed": 468, + "uniform_uint64_prefix_sha256": "817162bd538456458056e682b275a370693ab8b6063103465fa130ac8b897656", + "uniform_uint64_first_eight_hex": [ + "dc3f6bfa343e1a91", + "1746f950bf4f2354", + "08e62f30261820f4", + "e4ae65dd8f164b25", + "5a884a84be0edec1", + "d3c46a2e951e982b", + "b18a92ee472e0296", + "10c27bcd6ead8c38" + ], + "task_score": { + "candidate_sha256": "03ed9eb4bd8745a7d0215adcd9d77b4db611db668773b0b74a0b358c8469aee0", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 297, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "571469a982ac199ac167fd7b209a159175b1313ac6f1a474767d83d65523fe30", + "generated_tokens": 439, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 1157, + 276, + 2341, + 565, + 245, + 1604, + 317, + 9966, + 13, + 185, + 17, + 13, + 50586, + 254, + 20481, + 280, + 254, + 984, + 17761, + 13, + 185, + 18, + 13, + 7361, + 565, + 254, + 3973, + 280, + 254, + 20481, + 317, + 245, + 9966, + 1604, + 13, + 185, + 19, + 13, + 7898, + 440, + 39480, + 1, + 565, + 359, + 6, + 82, + 245, + 9966, + 1604, + 11, + 440, + 8320, + 1, + 6616, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 344, + 16839, + 254, + 2330, + 5610, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 6620, + 7, + 77, + 1780, + 185, + 300, + 8066, + 7109, + 565, + 245, + 1604, + 317, + 9966, + 27823, + 185, + 300, + 565, + 291, + 10551, + 207, + 16, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 565, + 291, + 10551, + 207, + 18, + 25, + 185, + 391, + 972, + 10491, + 185, + 300, + 565, + 291, + 3028, + 207, + 17, + 2318, + 207, + 15, + 410, + 291, + 3028, + 207, + 18, + 2318, + 207, + 15, + 25, + 185, + 391, + 972, + 14687, + 185, + 300, + 460, + 403, + 207, + 20, + 185, + 300, + 1477, + 460, + 575, + 460, + 10551, + 291, + 25, + 185, + 391, + 565, + 291, + 3028, + 460, + 2318, + 207, + 15, + 410, + 291, + 3028, + 334, + 72, + 919, + 207, + 17, + 8, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 14687, + 185, + 391, + 460, + 7324, + 207, + 21, + 185, + 300, + 972, + 10491, + 185, + 185, + 1558, + 20481, + 7, + 25609, + 16, + 11, + 11501, + 17, + 1780, + 185, + 300, + 8066, + 12971, + 254, + 20481, + 280, + 984, + 17761, + 285, + 2341, + 565, + 895, + 3973, + 317, + 9966, + 27823, + 185, + 300, + 1330, + 62, + 67627, + 403, + 3044, + 7, + 25609, + 16, + 58, + 15, + 2717, + 11501, + 17, + 58, + 15, + 5855, + 185, + 300, + 1225, + 62, + 67627, + 403, + 1349, + 7, + 25609, + 16, + 58, + 16, + 2717, + 11501, + 17, + 58, + 16, + 5855, + 185, + 300, + 3973, + 62, + 67627, + 403, + 1225, + 62, + 67627, + 570, + 1330, + 62, + 67627, + 919, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 440, + 39480, + 1, + 565, + 317, + 62, + 6620, + 7, + 4092, + 62, + 67627, + 8, + 1979, + 440, + 8320, + 1, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 67627, + 6034, + 16, + 11, + 207, + 17, + 654, + 334, + 17, + 11, + 207, + 18, + 15196, + 207, + 1501, + 20154, + 25, + 440, + 8320, + 1, + 185, + 4134, + 7, + 67627, + 6034, + 12, + 16, + 11, + 207, + 16, + 654, + 334, + 15, + 11, + 207, + 19, + 15196, + 207, + 1501, + 20154, + 25, + 440, + 8320, + 1, + 185, + 4134, + 7, + 67627, + 6034, + 12, + 18, + 11, + 570, + 16, + 654, + 9970, + 20, + 11, + 207, + 20, + 15196, + 207, + 1501, + 20154, + 25, + 440, + 39480, + 1, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 245, + 30206, + 1157, + 2030, + 262, + 62, + 6620, + 63, + 276, + 2341, + 565, + 245, + 1604, + 317, + 9966, + 285, + 937, + 5131, + 359, + 2383, + 254, + 2030, + 67627, + 63, + 1157, + 276, + 6983, + 3203, + 254, + 3973, + 280, + 254, + 20481, + 317, + 9966, + 13, + 1273, + 254, + 17761, + 536, + 441, + 26366, + 11, + 254, + 1157, + 7578, + 440, + 8320, + 2859, + 100001 + ], + "generated_token_ids_sha256": "61faa4d92f7e6fbf64d17e8846abc80e51d00bd0a7187236ae50f89d327facfe", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to:\n\n1. Define a function to check if a number is prime.\n2. Calculate the intersection of the two intervals.\n3. Check if the length of the intersection is a prime number.\n4. Return \"YES\" if it's a prime number, \"NO\" otherwise.\n\nHere's the Python code that implements the above steps:\n\n```python\ndef is_prime(n):\n \"\"\"Check if a number is prime.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n\ndef intersection(interval1, interval2):\n \"\"\"Find the intersection of two intervals and check if its length is prime.\"\"\"\n start_intersection = max(interval1[0], interval2[0])\n end_intersection = min(interval1[1], interval2[1])\n length_intersection = end_intersection - start_intersection + 1\n \n return \"YES\" if is_prime(length_intersection) else \"NO\"\n\n# Example usage:\nprint(intersection((1, 2), (2, 3))) # Output: \"NO\"\nprint(intersection((-1, 1), (0, 4))) # Output: \"NO\"\nprint(intersection((-3, -1), (-5, 5))) # Output: \"YES\"\n```\n\nThis code defines a helper function `is_prime` to check if a number is prime and then uses it within the `intersection` function to determine whether the length of the intersection is prime. 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Define a function to check if a number is prime.\n2. Calculate the intersection of the two intervals.\n3. Check if the length of the intersection is a prime number.\n4. Return \"YES\" if the length is prime, \"NO\" if not, and \"NO\" if the intervals don't intersect.\n\nHere is the Python code implementing the above logic:\n\n```python\ndef is_prime(n):\n \"\"\"Check if a number is prime.\"\"\"\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n\ndef intersection(interval1, interval2):\n \"\"\"Find the intersection of two intervals and check if its length is prime.\"\"\"\n start, end = max(interval1[0], interval2[0]), min(interval1[1], interval2[1])\n intersection_length = end - start + 1\n return \"YES\" if is_prime(intersection_length) else \"NO\"\n\n# Test cases\nprint(intersection((1, 2), (2, 3))) # Output: NO\nprint(intersection((-1, 1), (0, 4))) # Output: NO\nprint(intersection((-3, -1), (-5, 5))) # Output: YES\n```\n\nThis code defines the `is_prime` function to check if a number is prime and the `intersection` function to calculate the intersection and determine if its length is prime. 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Then, you can sort this new list. Here's how you can do it:\n\n```python\ndef sort_even(l: list):\n # Extract the values from even indices\n even_values = l[::2]\n \n # Sort the extracted values\n even_values.sort()\n \n # Replace the values at even indices in the original list with the sorted values\n for i in range(0, len(l), 2):\n l[i] = even_values[i // 2] # i // 2 to ensure we only take every second element\n \n return l\n\n# Test cases\nprint(sort_even([1, 2, 3])) # [1, 2, 3]\nprint(sort_even([5, 6, 3, 4])) # [3, 6, 5, 4]\n```\n\nThis function works by first creating a new list `even_values` that contains the values at the even indices of the original list. It then sorts this new list. Finally, it replaces the values at the even indices in the original list with the sorted values. The `l[::2]` slice expression is used to get every second element from the original list, starting from the first element. 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Then, you can fill the odd indices of the new list with the elements from the original list. Here's how you can implement this in Python:\n\n```python\ndef sort_even(l: list):\n # Extract elements at even indices\n even_indices = l[::2]\n \n # Sort the elements at even indices\n even_indices.sort()\n \n # Initialize an empty list for the result\n result = []\n \n # Fill the odd indices of the result with the elements from the original list\n for i, value in enumerate(l):\n if i % 2 == 0:\n result.append(even_indices.pop(0))\n else:\n result.append(value)\n \n return result\n\n# Test cases\nprint(sort_even([1, 2, 3])) # [1, 2, 3]\nprint(sort_even([5, 6, 3, 4])) # [3, 6, 5, 4]\n```\n\nThis function works by first extracting the elements at even indices from the original list and sorting them. Then, it iterates through the original list, adding each element to the result list based on its index. 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Then, you can fill the odd indices of the new list with the elements from the original list. Here's how you can implement this in Python:\n\n```python\ndef sort_even(l: list):\n # Extract elements at even indices\n even_indices = l[::2]\n \n # Sort the elements at even indices\n even_indices.sort()\n \n # Initialize an index for the new list\n index = 0\n \n # Fill the new list with elements from the original list\n for i in range(len(l)):\n if i % 2 == 0: # If the index is even\n l[i] = even_indices[index]\n index += 1\n \n return l\n\n# Example usage:\nprint(sort_even([1, 2, 3])) # Output: [1, 2, 3]\nprint(sort_even([5, 6, 3, 4])) # Output: [3, 6, 5, 4]\n```\n\nThis function works by first extracting the elements at even indices from the original list and sorting them. Then, it iterates through the original list, placing the sorted elements at even indices and skipping odd indices. 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"1dde7533a3231376fb50144a341c787c9505f5b471ff8ffaf8828c8307e996d2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def sort_even(l: list):\n even_values = sorted([l[i] for i in range(0, len(l), 2)])\n sorted_even_values = [even_values.pop(0) if i % 2 == 0 else l[i] for i in range(len(l))]\n return sorted_even_values\n\nprint(sort_even([1, 2, 3]))\nprint(sort_even([5, 6, 3, 4]))", + "text_sha256": "712fde6d8610aebe3ba9c7572f630fff0c8bde9797467fa5482c36d0d0501421", + "uniform_steps_consumed": 117, + "uniform_uint64_prefix_sha256": "997e79dcc3ae938706a197a5c032c2c7a57ba20e41e478387d0efb5ad4832f70", + "uniform_uint64_first_eight_hex": [ + "9a3d510b493f931c", + "fe6efd1e36974d3b", + "27e8faa59ec5013f", + "4e636ea768e5e158", + "ec1197f2fc3725ed", + "3d9ad2b0151d4406", + "4583196d116b7aef", + "fadcb6642504bd37" + ], + "task_score": { + "candidate_sha256": "000c88fb14e9dc240677362c4cbdf83ac9136dc0af43480d45ac421453782e6e", + "python_ast_parse": true, + "parse_error": 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+ 0.4835856258869171, + 0.7615032196044922, + 0.22435393929481506 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 48.443526462011505, + "peak_cuda_memory_allocated_bytes": 28885879296, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 112, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0f12795689a1c235625a61969cb4cf5ae1173e8f1642418e7231b6be6eace098", + "generated_tokens": 165, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 16435, + 515, + 7288, + 63, + 1157, + 279, + 12974, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 16435, + 515, + 7288, + 7, + 822, + 25, + 1406, + 8, + 5052, + 6920, + 25, + 185, + 300, + 8066, + 185, + 300, + 47445, + 565, + 2028, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 185, + 300, + 8066, + 185, + 300, + 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Here's the implementation of the `is_palindrome` function in Python:\n\n```python\ndef is_palindrome(text: str) -> bool:\n \"\"\"\n Checks if given string is a palindrome\n \"\"\"\n # Remove spaces and convert to lowercase\n text = text.replace(\" \", \"\").lower()\n \n # Compare the string with its reverse\n return text == text[::-1]\n```\n\nThis function first removes all spaces from the input string and converts it to lowercase to ensure the comparison is case-insensitive. Then, it checks if the string is equal to its reverse. If it is, the string is a palindrome, and the function returns `True`. Otherwise, it returns `False`.", + "text_sha256": "08ab703e35fa681efe0e5ff46bf6660b2d76001471cafc2e483d3f5350b342b6", + "uniform_steps_consumed": 165, + "uniform_uint64_prefix_sha256": "02b345d29d56db698d175cb9fade64c2bd30893add1268837fb34c3a000f00b5", + "uniform_uint64_first_eight_hex": [ + "cf8e1c8e22cea0e2", + "3da9181475be06dd", + "342e9fd525e8f6d8", + "7bf90e7713959997", + "dd04d0fdfc6debaa", + "7bcc448207be8745", + "c2f1dfdc770a2839", + "396f42985b871f88" + ], + "task_score": { + "candidate_sha256": "4b7558b9bdf94da1f46a6d1b8d3ea2b598f2230a834fa50a650a853b8c3a0513", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 128, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "a69fb616e4189a48ce3e97aca61e67cb88f882332143d4e84505d18092b48371", + "generated_tokens": 163, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 16435, + 515, + 7288, + 63, + 1157, + 279, + 12974, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 16435, + 515, + 7288, + 7, + 822, + 25, + 1406, + 8, + 5052, + 6920, + 25, + 185, + 300, + 8066, + 185, + 300, + 47445, + 565, + 2028, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 185, + 300, + 8066, + 185, + 300, + 1501, + 17659, + 9577, + 285, + 5447, + 276, + 68526, + 185, + 300, + 2432, + 403, + 2432, + 13, + 12323, + 1198, + 17305, + 440, + 6419, + 13295, + 826, + 185, + 251, + 185, + 300, + 1501, + 31094, + 254, + 2662, + 366, + 895, + 13294, + 185, + 300, + 972, + 2432, + 2318, + 2432, + 58, + 73879, + 16, + 60, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 25072, + 688, + 9577, + 473, + 254, + 2782, + 2662, + 285, + 37926, + 359, + 276, + 68526, + 276, + 5462, + 254, + 8920, + 317, + 1460, + 12, + 89774, + 13, + 2928, + 359, + 36430, + 254, + 2662, + 366, + 895, + 13294, + 13, + 1273, + 657, + 418, + 254, + 1246, + 11, + 254, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 11, + 285, + 254, + 1157, + 7578, + 2030, + 8173, + 13557, + 19051, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 100001 + ], + "generated_token_ids_sha256": "655d2ec6e2916e0c35c5a412c1507f51db366f4aeb06d48e3f83f419249faf42", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the `is_palindrome` function in Python:\n\n```python\ndef is_palindrome(text: str) -> bool:\n \"\"\"\n Checks if given string is a palindrome\n \"\"\"\n # Remove spaces and convert to lowercase\n text = text.replace(\" \", \"\").lower()\n \n # Compare the string with its reverse\n return text == text[::-1]\n```\n\nThis function first removes any spaces from the input string and converts it to lowercase to ensure the comparison is case-insensitive. Then it compares the string with its reverse. If they are the same, the string is a palindrome, and the function returns `True`. Otherwise, it returns `False`.", + "text_sha256": "79edbc77514a195bd3cbdceb10cca924703630fdff1ee567f26989fc0b223299", + "uniform_steps_consumed": 163, + "uniform_uint64_prefix_sha256": "fe1d776b6852ff3c2f91d49ccf7835b8e8ccedaa9cff78a16f9e817801b498f1", + "uniform_uint64_first_eight_hex": [ + "cf8e1c8e22cea0e2", + "3da9181475be06dd", + "342e9fd525e8f6d8", + "7bf90e7713959997", + "dd04d0fdfc6debaa", + "7bcc448207be8745", + "c2f1dfdc770a2839", + "396f42985b871f88" + ], + "task_score": { + "candidate_sha256": "4b7558b9bdf94da1f46a6d1b8d3ea2b598f2230a834fa50a650a853b8c3a0513", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 112, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "6dc8993a610d275f86205ae51b5050a3206033379f14135be29a2db75a4e99b0", + "generated_tokens": 310, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 12974, + 1157, + 2030, + 262, + 62, + 16435, + 515, + 7288, + 63, + 344, + 14180, + 565, + 245, + 2028, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 317, + 62, + 16435, + 515, + 7288, + 7, + 822, + 25, + 1406, + 8, + 5052, + 6920, + 25, + 185, + 300, + 8066, + 185, + 300, + 47445, + 565, + 2028, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 185, + 300, + 24922, + 317, + 62, + 16435, + 515, + 7288, + 1504, + 2519, + 185, + 300, + 10491, + 185, + 300, + 24922, + 317, + 62, + 16435, + 515, + 7288, + 1504, + 15986, + 2519, + 185, + 300, + 10491, + 185, + 300, + 24922, + 317, + 62, + 16435, + 515, + 7288, + 1504, + 28331, + 64, + 2519, + 185, + 300, + 10491, + 185, + 300, + 24922, + 317, + 62, + 16435, + 515, + 7288, + 1504, + 89551, + 2253, + 2519, + 185, + 300, + 14687, + 185, + 300, + 8066, + 185, + 300, + 1501, + 17659, + 688, + 2170, + 12, + 266, + 19530, + 97242, + 7445, + 285, + 5447, + 276, + 68526, + 185, + 300, + 27144, + 62, + 822, + 403, + 655, + 6767, + 11557, + 7, + 8664, + 7, + 2017, + 13, + 262, + 266, + 6485, + 11, + 2432, + 14374, + 13295, + 826, + 185, + 251, + 185, + 300, + 1501, + 31094, + 254, + 2662, + 366, + 895, + 13294, + 185, + 300, + 972, + 27144, + 62, + 822, + 2318, + 27144, + 62, + 822, + 58, + 73879, + 16, + 60, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 262, + 62, + 16435, + 515, + 7288, + 1504, + 14201, + 207, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 16435, + 515, + 7288, + 1504, + 15986, + 14201, + 207, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 16435, + 515, + 7288, + 1504, + 28331, + 64, + 14201, + 207, + 1501, + 10491, + 185, + 4134, + 7, + 262, + 62, + 16435, + 515, + 7288, + 1504, + 89551, + 2253, + 14201, + 207, + 1501, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 31093, + 254, + 2782, + 2662, + 457, + 13919, + 688, + 2170, + 12, + 266, + 19530, + 97242, + 7445, + 285, + 30833, + 359, + 276, + 68526, + 13, + 2928, + 11, + 359, + 14180, + 565, + 254, + 27144, + 2662, + 317, + 254, + 1246, + 754, + 34335, + 13, + 1273, + 359, + 317, + 11, + 254, + 1157, + 7578, + 2030, + 8173, + 12181, + 18359, + 344, + 254, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 13, + 19051, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 100001 + ], + "generated_token_ids_sha256": "25de077ab6e75b9d4ccadc8124f1ca3c690bebfcdf1d344212069cfa3ba7d033", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the Python function `is_palindrome` that checks if a given string is a palindrome:\n\n```python\ndef is_palindrome(text: str) -> bool:\n \"\"\"\n Checks if given string is a palindrome\n >>> is_palindrome('')\n True\n >>> is_palindrome('aba')\n True\n >>> is_palindrome('aaaaa')\n True\n >>> is_palindrome('zbcd')\n False\n \"\"\"\n # Remove any non-alphanumeric characters and convert to lowercase\n cleaned_text = ''.join(filter(str.isalnum, text)).lower()\n \n # Compare the string with its reverse\n return cleaned_text == cleaned_text[::-1]\n\n# Test cases\nprint(is_palindrome('')) # True\nprint(is_palindrome('aba')) # True\nprint(is_palindrome('aaaaa')) # True\nprint(is_palindrome('zbcd')) # False\n```\n\nThis function first cleans the input string by removing any non-alphanumeric characters and converting it to lowercase. Then, it checks if the cleaned string is the same when reversed. If it is, the function returns `True`, indicating that the string is a palindrome. Otherwise, it returns `False`.", + "text_sha256": "5d80711cc0db980bfce347798a255e232d78f52bb1b2019842165d5a031826ac", + "uniform_steps_consumed": 310, + "uniform_uint64_prefix_sha256": "4f548e70620c3907299b6f44d39f36d17ada017f4e993ad1a4f035381887e1a7", + "uniform_uint64_first_eight_hex": [ + "cf8e1c8e22cea0e2", + "3da9181475be06dd", + "342e9fd525e8f6d8", + "7bf90e7713959997", + "dd04d0fdfc6debaa", + "7bcc448207be8745", + "c2f1dfdc770a2839", + "396f42985b871f88" + ], + "task_score": { + "candidate_sha256": "74ad9597eb73cbea67c4206995ccb653070c5af7115a69423e796b882e6f1ce0", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 128, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "d047614740d0aed3dec70e04733d510f101589fcc9b2a64b61dc3f60caa6d46e", + "generated_tokens": 25, + 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Define a helper function to calculate the number of unique characters in a word.\n2. Iterate through the list of words.\n3. For each word, calculate the number of unique characters and compare it with the maximum found so far.\n4. If the current word has more unique characters, update the maximum.\n5. If the current word has the same number of unique characters but comes lexicographically before the maximum, update the maximum.\n6. Return the word with the maximum number of unique characters.\n\nHere is the implementation of the `find_max` function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_word = \"\"\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_word = word\n elif unique_chars == max_unique_chars and word < max_word:\n max_word = word\n\n return max_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Output: \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Output: \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Output: \"aaaaaaa\"\n```\n\nThis function will return the word with the maximum number of unique characters, or an empty string if all words have the same number of unique characters.", + "text_sha256": "dfc802f499fdfa39f481022a55b73cd6a176c3a5422d0f788ff615f784309fdc", + "uniform_steps_consumed": 383, + "uniform_uint64_prefix_sha256": "ddb33653be9dd53cb550b752681b6e3ac8b6ba8026c435a738d7a29bf9531922", + "uniform_uint64_first_eight_hex": [ + "4149a7ec6658a9c5", + "f9d117c2edb03d73", + "348d138cb300807f", + "5a82ff5b90228f12", + "7240a8a7b204bd5c", + "8acdb844c4496df7", + "a986746e0724abd0", + "8437a202ed454c4c" + ], + "task_score": { + "candidate_sha256": "cb6bbbbea8971a601f026cf88f1208fd73a9175ddfd6bc96b64ea9fcd785e2f2", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 167, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c2fecd49df755e8b67944b609dd4b5e730644e309714d7ad0979cc7eb55451a7", + "generated_tokens": 387, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 30206, + 1157, + 276, + 11462, + 254, + 1604, + 280, + 4730, + 7445, + 279, + 245, + 1734, + 13, + 185, + 17, + 13, + 30068, + 387, + 1184, + 254, + 1525, + 280, + 3073, + 11, + 1244, + 254, + 30206, + 1157, + 276, + 6983, + 254, + 1604, + 280, + 4730, + 7445, + 327, + 1319, + 1734, + 13, + 185, + 18, + 13, + 14715, + 4184, + 280, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 19, + 13, + 1273, + 4606, + 3073, + 463, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 8887, + 768, + 79144, + 63401, + 285, + 972, + 254, + 634, + 344, + 3450, + 1022, + 13, + 185, + 185, + 4898, + 317, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1275, + 62, + 3978, + 7, + 10422, + 1780, + 185, + 300, + 977, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 1780, + 185, + 391, + 972, + 10389, + 7, + 1111, + 7, + 2687, + 1509, + 185, + 185, + 300, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 207, + 15, + 185, + 300, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 15202, + 185, + 185, + 300, + 327, + 1734, + 279, + 3073, + 25, + 185, + 391, + 4730, + 62, + 52553, + 403, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 8, + 185, + 391, + 565, + 4730, + 62, + 52553, + 1879, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 595, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 1734, + 185, + 391, + 23744, + 4730, + 62, + 52553, + 2318, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 1501, + 31094, + 79144, + 63401, + 185, + 595, + 565, + 1734, + 459, + 3044, + 62, + 19380, + 62, + 2687, + 25, + 185, + 903, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 903, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 1734, + 185, + 185, + 300, + 972, + 3044, + 62, + 19380, + 62, + 2687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 994, + 955, + 440, + 2612, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 2612, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 255, + 303, + 955, + 440, + 14600, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 255, + 303, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 28331, + 48950, + 955, + 440, + 7879, + 955, + 440, + 569, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 28331, + 48950, + 1, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 410, + 274, + 7137, + 2662, + 565, + 521, + 3073, + 463, + 254, + 1246, + 1604, + 280, + 4730, + 7445, + 13, + 100001 + ], + "generated_token_ids_sha256": "64d60661fc00c0223bf0b486e6ad97878c9171ff1945c4ae94732ef531ee6276", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Define a helper function to calculate the number of unique characters in a word.\n2. Iterate through the list of words, using the helper function to determine the number of unique characters for each word.\n3. Keep track of the word with the maximum number of unique characters.\n4. If multiple words have the maximum number of unique characters, compare them lexicographically and return the one that comes first.\n\nHere is the implementation of the function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_unique_word = \"\"\n\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_unique_word = word\n elif unique_chars == max_unique_chars:\n # Compare lexicographically\n if word < max_unique_word:\n max_unique_chars = unique_chars\n max_unique_word = word\n\n return max_unique_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Output: \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Output: \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Output: \"aaaaaaa\"\n```\n\nThis function will return the word with the maximum number of unique characters, or an empty string if all words have the same number of unique characters.", + "text_sha256": "4bf382df32f0270da16817eb8e2ebf2331ef1a850ee537958824c4cad2656801", + "uniform_steps_consumed": 387, + "uniform_uint64_prefix_sha256": "a78a9ce4237ef3a38a38d63103543f7dbfcf91b2049b75b866859f4502e6b2c4", + "uniform_uint64_first_eight_hex": [ + "4149a7ec6658a9c5", + "f9d117c2edb03d73", + "348d138cb300807f", + "5a82ff5b90228f12", + "7240a8a7b204bd5c", + "8acdb844c4496df7", + "a986746e0724abd0", + "8437a202ed454c4c" + ], + "task_score": { + "candidate_sha256": "4735e37ab89f7e593bf41fac6ad5d283582517d86b90c90f016fea1e44c69b0e", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 151, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ee31bf95a32a07b957fa91a798847294e2682f8b6fdd3c1cdac207962f6e8ec5", + "generated_tokens": 343, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 30206, + 1157, + 276, + 11462, + 254, + 1604, + 280, + 4730, + 7445, + 279, + 245, + 2662, + 13, + 185, + 17, + 13, + 30068, + 387, + 1184, + 254, + 1525, + 280, + 3073, + 11, + 1244, + 254, + 30206, + 1157, + 276, + 6983, + 254, + 1604, + 280, + 4730, + 7445, + 327, + 1319, + 1734, + 13, + 185, + 18, + 13, + 14715, + 4184, + 280, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 19, + 13, + 1273, + 4606, + 3073, + 463, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 8887, + 768, + 79144, + 63401, + 285, + 972, + 254, + 634, + 344, + 3450, + 1022, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 6386, + 62, + 3978, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1275, + 62, + 3978, + 7, + 10422, + 1780, + 185, + 300, + 977, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 1780, + 185, + 391, + 972, + 10389, + 7, + 1111, + 7, + 2687, + 1509, + 185, + 185, + 300, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 207, + 15, + 185, + 300, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 15202, + 185, + 185, + 300, + 327, + 1734, + 279, + 3073, + 25, + 185, + 391, + 4730, + 62, + 52553, + 403, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 8, + 185, + 391, + 565, + 4730, + 62, + 52553, + 1879, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 595, + 3044, + 62, + 19380, + 62, + 2687, + 403, + 1734, + 185, + 185, + 300, + 972, + 3044, + 62, + 19380, + 62, + 2687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 994, + 955, + 440, + 2612, + 7290, + 1509, + 207, + 1501, + 12816, + 972, + 440, + 2612, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 255, + 303, + 955, + 440, + 14600, + 7290, + 1509, + 243, + 1501, + 12816, + 972, + 440, + 255, + 303, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 28331, + 48950, + 955, + 440, + 7879, + 955, + 440, + 569, + 7290, + 1509, + 300, + 1501, + 12816, + 972, + 440, + 28331, + 48950, + 1, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 410, + 274, + 7137, + 2662, + 565, + 521, + 3073, + 463, + 254, + 1246, + 1604, + 280, + 4730, + 7445, + 13, + 100001 + ], + "generated_token_ids_sha256": "b3fe45cbd93af2d7c6540ffc51b23774cc7c36ed133931c4752ff096bc7eeab5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Define a helper function to calculate the number of unique characters in a string.\n2. Iterate through the list of words, using the helper function to determine the number of unique characters for each word.\n3. Keep track of the word with the maximum number of unique characters.\n4. If multiple words have the maximum number of unique characters, compare them lexicographically and return the one that comes first.\n\nHere's the implementation of the `find_max` function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_unique_word = \"\"\n\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_unique_word = word\n\n return max_unique_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Should return \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Should return \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Should return \"aaaaaaa\"\n```\n\nThis function will return the word with the maximum number of unique characters, or an empty string if all words have the same number of unique characters.", + "text_sha256": "b2b57f911c237a2bf645b28f030f6ce3e13a406b244d1602eb1f4b10035fa9b2", + "uniform_steps_consumed": 343, + "uniform_uint64_prefix_sha256": "22682f26053893d446fc09a13d3874500b3f39b2f00eff904db7db0aab0c022f", + "uniform_uint64_first_eight_hex": [ + "4149a7ec6658a9c5", + "f9d117c2edb03d73", + "348d138cb300807f", + "5a82ff5b90228f12", + "7240a8a7b204bd5c", + "8acdb844c4496df7", + "a986746e0724abd0", + "8437a202ed454c4c" + ], + "task_score": { + "candidate_sha256": "f9171d1527c48009d751eeec0714531ddd6e813e342057b2d65b607aedba9493", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 167, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "5c4975cc9a74c18629c0aaf1fa5ab6a3236be6c55f391dc5f9e49ec1ccd83dd4", + "generated_tokens": 385, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 1157, + 2030, + 6386, + 62, + 3978, + 63, + 344, + 4497, + 245, + 1525, + 280, + 14404, + 372, + 2782, + 13, + 185, + 17, + 13, + 35914, + 245, + 5591, + 276, + 2240, + 4184, + 280, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 18, + 13, + 30068, + 387, + 1184, + 1319, + 1734, + 279, + 254, + 1525, + 13, + 185, + 19, + 13, + 1494, + 1319, + 1734, + 11, + 1690, + 254, + 1604, + 280, + 4730, + 7445, + 1244, + 245, + 845, + 276, + 4945, + 21882, + 52124, + 13, + 185, + 20, + 13, + 31094, + 254, + 1690, + 280, + 4730, + 7445, + 366, + 254, + 1648, + 6059, + 13, + 185, + 21, + 13, + 1273, + 254, + 1690, + 317, + 6146, + 11, + 3979, + 254, + 6059, + 285, + 254, + 5939, + 1734, + 13, + 185, + 22, + 13, + 4128, + 13575, + 521, + 3073, + 11, + 972, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 13, + 185, + 23, + 13, + 1273, + 745, + 418, + 4606, + 3073, + 366, + 254, + 1246, + 6059, + 1690, + 11, + 972, + 254, + 634, + 344, + 3450, + 1022, + 79144, + 63401, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1275, + 62, + 3978, + 7, + 10422, + 1780, + 185, + 300, + 977, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 1780, + 185, + 391, + 972, + 10389, + 7, + 1111, + 7, + 2687, + 1509, + 185, + 185, + 300, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 207, + 15, + 185, + 300, + 3044, + 62, + 2687, + 403, + 15202, + 185, + 300, + 327, + 1734, + 279, + 3073, + 25, + 185, + 391, + 4730, + 62, + 52553, + 403, + 1690, + 62, + 19380, + 62, + 52553, + 7, + 2687, + 8, + 185, + 391, + 565, + 4730, + 62, + 52553, + 1879, + 3044, + 62, + 19380, + 62, + 52553, + 25, + 185, + 595, + 3044, + 62, + 19380, + 62, + 52553, + 403, + 4730, + 62, + 52553, + 185, + 595, + 3044, + 62, + 2687, + 403, + 1734, + 185, + 185, + 300, + 972, + 3044, + 62, + 2687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 994, + 955, + 440, + 2612, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 2612, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 1531, + 955, + 440, + 255, + 303, + 955, + 440, + 14600, + 7290, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 255, + 303, + 1, + 185, + 4134, + 7, + 6386, + 62, + 3978, + 63214, + 28331, + 48950, + 955, + 440, + 7879, + 955, + 440, + 569, + 7290, + 1509, + 243, + 1501, + 20154, + 25, + 440, + 28331, + 48950, + 1, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 9695, + 8843, + 254, + 1734, + 366, + 254, + 6059, + 1604, + 280, + 4730, + 7445, + 11, + 410, + 972, + 254, + 1022, + 1108, + 1734, + 565, + 745, + 418, + 4606, + 13, + 100001 + ], + "generated_token_ids_sha256": "5b5cdc874133cecbb1ef749af4ccf51e09e9b8cdf5b31b67297eef9d44d8a377", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to:\n\n1. Define a function `find_max` that takes a list of strings as input.\n2. Initialize a variable to keep track of the word with the maximum number of unique characters.\n3. Iterate through each word in the list.\n4. For each word, count the number of unique characters using a set to avoid counting duplicates.\n5. Compare the count of unique characters with the current maximum.\n6. If the count is greater, update the maximum and the corresponding word.\n7. After checking all words, return the word with the maximum number of unique characters.\n8. If there are multiple words with the same maximum count, return the one that comes first lexicographically.\n\nHere's the implementation of the function:\n\n```python\ndef find_max(words):\n def count_unique_chars(word):\n return len(set(word))\n\n max_unique_chars = 0\n max_word = \"\"\n for word in words:\n unique_chars = count_unique_chars(word)\n if unique_chars > max_unique_chars:\n max_unique_chars = unique_chars\n max_word = word\n\n return max_word\n\n# Test cases\nprint(find_max([\"name\", \"of\", \"string\"])) # Output: \"string\"\nprint(find_max([\"name\", \"enam\", \"game\"])) # Output: \"enam\"\nprint(find_max([\"aaaaaaa\", \"bb\", \"cc\"])) # Output: \"aaaaaaa\"\n```\n\nThis function will correctly identify the word with the maximum number of unique characters, or return the first such word if there are multiple.", + "text_sha256": "9e4480974214c42267040bd1bcee457253b2ac0b9f04a68955f036900d0e8a63", + "uniform_steps_consumed": 385, + "uniform_uint64_prefix_sha256": 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Check if the input list is empty. If it is, return an empty list.\n2. Otherwise, sort the list in ascending order.\n3. Initialize an empty list to store the strange sorted result.\n4. While the sorted list is not empty:\n - Take the first element of the sorted list.\n - Append this element to the result list.\n - Remove this element from the sorted list.\n5. Repeat step 4 until the sorted list is empty.\n6. Return the result list.\n\nHere's the implementation of the `strange_sort_list` function:\n\n```python\ndef strange_sort_list(lst):\n if not lst: # Check if the list is empty\n return []\n\n # Sort the list in ascending order\n sorted_lst = sorted(lst)\n\n # Initialize the result list\n result = []\n\n # Strange sorting logic\n while sorted_lst:\n # Take the first element of the sorted list\n min_val = sorted_lst.pop(0)\n # Append this element to the result list\n result.append(min_val)\n # Remove this element from the sorted list\n while sorted_lst and sorted_lst[0] <= min_val:\n sorted_lst.pop(0)\n\n return result\n\n# Test cases\nprint(strange_sort_list([1, 2, 3, 4])) # [1, 4, 2, 3]\nprint(strange_sort_list([5, 5, 5, 5])) # [5, 5, 5, 5]\nprint(strange_sort_list([])) # []\n```\n\nThis code defines the `strange_sort_list` function and tests it with the provided examples.", + "text_sha256": "37901b5193e2ff66c203ddc70a13385e1b6857924e526cbcdf3ad1c94004081f", + "uniform_steps_consumed": 429, + "uniform_uint64_prefix_sha256": "c3621af64903bc045a592982908a0e48a9c3303b4d9f218e65bd068fd34feecc", + "uniform_uint64_first_eight_hex": [ + "7b988e5a819de3af", + "18337789559518df", + "7610c7b62a5defc7", + "695d5439feb38083", + "12ea2a234a55538f", + "42343f6f5536ce58", + "7c31a11e8e4e4a1b", + "eae00b3c6cad7a46" + ], + "task_score": { + "candidate_sha256": "b46b24019a260be25e51c258731ca3d7fb38ef490e92aa034d00ab33cda16ebe", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 179, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "06eabe886d19dac9445fac2b61760e2aa8afdb519128886ccc6b50c118d63f74", + "generated_tokens": 342, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 43744, + 62, + 14318, + 62, + 2502, + 63, + 1157, + 11, + 395, + 481, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 31794, + 254, + 1525, + 280, + 26559, + 279, + 46468, + 1835, + 13, + 185, + 17, + 13, + 35914, + 274, + 7137, + 1525, + 276, + 4743, + 254, + 1230, + 13, + 185, + 18, + 13, + 7305, + 245, + 7832, + 276, + 24271, + 4760, + 254, + 19621, + 285, + 8397, + 4899, + 473, + 254, + 24350, + 1525, + 285, + 13471, + 768, + 276, + 254, + 1230, + 1525, + 2645, + 254, + 24350, + 1525, + 317, + 7137, + 13, + 185, + 19, + 13, + 7898, + 254, + 1230, + 1525, + 13, + 185, + 185, + 4898, + 317, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 8387, + 62, + 14318, + 62, + 2502, + 7, + 32808, + 1780, + 185, + 300, + 1501, + 31794, + 254, + 1525, + 279, + 46468, + 1835, + 185, + 300, + 24350, + 62, + 32808, + 403, + 24350, + 7, + 32808, + 8, + 185, + 251, + 185, + 300, + 1501, + 35914, + 254, + 1230, + 1525, + 185, + 300, + 1230, + 403, + 9636, + 185, + 251, + 185, + 300, + 1501, + 35044, + 2645, + 254, + 24350, + 1525, + 317, + 7137, + 185, + 300, + 1477, + 24350, + 62, + 32808, + 25, + 185, + 391, + 1501, + 58313, + 254, + 19621, + 3699, + 185, + 391, + 1230, + 13, + 6880, + 7, + 58365, + 62, + 32808, + 13, + 9540, + 7, + 15, + 1509, + 185, + 391, + 1501, + 7361, + 565, + 745, + 418, + 4899, + 2116, + 279, + 254, + 24350, + 1525, + 185, + 391, + 565, + 441, + 24350, + 62, + 32808, + 25, + 185, + 595, + 2973, + 185, + 391, + 1501, + 58313, + 254, + 8397, + 3699, + 185, + 391, + 1230, + 13, + 6880, + 7, + 58365, + 62, + 32808, + 13, + 9540, + 7543, + 16, + 1509, + 185, + 251, + 185, + 300, + 972, + 1230, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 43744, + 62, + 14318, + 62, + 2502, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 19, + 26034, + 207, + 1501, + 825, + 16, + 11, + 207, + 19, + 11, + 207, + 17, + 11, + 207, + 18, + 60, + 185, + 4134, + 7, + 43744, + 62, + 14318, + 62, + 2502, + 9244, + 20, + 11, + 207, + 20, + 11, + 207, + 20, + 11, + 207, + 20, + 26034, + 207, + 1501, + 825, + 20, + 11, + 207, + 20, + 11, + 207, + 20, + 11, + 207, + 20, + 60, + 185, + 4134, + 7, + 43744, + 62, + 14318, + 62, + 2502, + 44785, + 1509, + 595, + 1501, + 9636, + 185, + 10897, + 185, + 185, + 1567, + 2985, + 17227, + 254, + 2030, + 43744, + 62, + 14318, + 62, + 2502, + 63, + 1157, + 285, + 9131, + 359, + 366, + 254, + 4286, + 6987, + 13, + 100001 + ], + "generated_token_ids_sha256": "804179fa4bc80d0a49073c878e105f5104a0cfe50bfa4cc0053eb5e5b55b1026", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `strange_sort_list` function, we can follow these steps:\n\n1. Sort the list of integers in ascending order.\n2. Initialize an empty list to store the result.\n3. Use a loop to repeatedly remove the smallest and largest elements from the sorted list and append them to the result list until the sorted list is empty.\n4. Return the result list.\n\nHere is the implementation of the function:\n\n```python\ndef strange_sort_list(lst):\n # Sort the list in ascending order\n sorted_lst = sorted(lst)\n \n # Initialize the result list\n result = []\n \n # Loop until the sorted list is empty\n while sorted_lst:\n # Append the smallest element\n result.append(sorted_lst.pop(0))\n # Check if there are elements left in the sorted list\n if not sorted_lst:\n break\n # Append the largest element\n result.append(sorted_lst.pop(-1))\n \n return result\n\n# Test cases\nprint(strange_sort_list([1, 2, 3, 4])) # [1, 4, 2, 3]\nprint(strange_sort_list([5, 5, 5, 5])) # [5, 5, 5, 5]\nprint(strange_sort_list([])) # []\n```\n\nThis code defines the `strange_sort_list` function and tests it with the provided examples.", + "text_sha256": "6d223d80163f438715a23d97dc1ceb7d032ff96cf535e3757bdf83f0bf7fb40a", + "uniform_steps_consumed": 342, + "uniform_uint64_prefix_sha256": 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Initialize an empty list to store the result.\n2. Loop through the input list and for each element:\n - If the element is less than or equal to the current minimum value found, append it to the result list.\n - If the element is greater than the current maximum value found, append it to the result list.\n3. After processing all elements, sort the result list in the desired order (minimum first, then maximum, then minimum, etc.).\n4. Return the sorted result list.\n\nHere's the implementation of the function:\n\n```python\ndef strange_sort_list(lst):\n # Initialize the result list with the first element\n result = [lst[0]]\n \n # Initialize minimum and maximum values\n min_val = result[0]\n max_val = lst[0]\n \n # Process the rest of the list\n for num in lst[1:]:\n # Check if the current number is less than or equal to the minimum found\n if isinstance(num, int) and num <= min_val:\n result.append(num)\n min_val = min(min_val, num)\n # Check if the current number is greater than the maximum found\n elif isinstance(num, int) and num >= max_val:\n result.append(num)\n max_val = max(max_val, num)\n else:\n result.append(num)\n \n # Sort the result list in the desired order\n result.sort(key=strange_sort_list._sort_key)\n \n return result\n\n# Helper function to define the sorting key\ndef strange_sort_list._sort_key(num):\n if isinstance(num, int):\n return (num, -1) if num <= 0 else (-num, 1)\n else:\n return (0, 1)\n\n# Example usage:\nprint(strange_sort_list([1, 2, 3, 4])) # Output: [1, 4, 2, 3]\nprint(strange_sort_list([5, 5, 5, 5])) # Output", + "text_sha256": "9d4275926c10089d131bd18e8f622348bec66dc7693ff1496bfa94e0168b1d1b", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "7f0bda0b0c23fe1f5ef6dfbad434f2bfb840d1a0e186043d116534e9f4fc9f9e", + "uniform_uint64_first_eight_hex": [ + "7b988e5a819de3af", + "18337789559518df", + "7610c7b62a5defc7", + "695d5439feb38083", + "12ea2a234a55538f", + "42343f6f5536ce58", + "7c31a11e8e4e4a1b", + "eae00b3c6cad7a46" + ], + "task_score": { + "candidate_sha256": "3c955dbc327fe6b8bcd2e065d1a9ae7e3f92dbd6a294395fecce839f10b1a0e1", + "python_ast_parse": false, + "parse_error": { + "type": "SyntaxError", + "line": 10, + "offset": 5 + }, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 179, + 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append the maximum to the result list and update the maximum.\n - If it is less than the minimum, append the minimum to the result list and update the minimum.\n - If it is neither, append the element to the result list.\n5. **Return the result list**.\n\nHere is the implementation of the function:\n\n```python\ndef strange_sort_list(lst):\n if not lst:\n return []\n \n min_val = min(lst)\n max_val = max(lst)\n \n result = []\n while lst:\n for i in range(min_val, max_val + 1):\n if any(x < i for x in lst):\n result.append(i)\n lst.remove(i)\n break\n else:\n result.append(lst.pop(0))\n \n return result\n\n# Test cases\nprint(strange_sort_list([1, 2, 3, 4])) # Output: [1, 4, 2, 3]\nprint(strange_sort_list([5, 5, 5, 5])) # Output: [5, 5, 5, 5]\nprint(strange_sort_list([])) # Output: []\n```\n\nThis function should work correctly for the provided examples and any other list of integers.", + "text_sha256": "b5ada05815dcc99781ae6061741c3659b0fff992f7a97ad9332c9a230417c1c2", + 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185, + 4134, + 7, + 64739, + 1504, + 4824, + 14201, + 207, + 1501, + 20154, + 25, + 655, + 24117, + 6, + 185, + 4134, + 7, + 64739, + 1504, + 281, + 3944, + 638, + 73, + 15875, + 14201, + 207, + 1501, + 20154, + 25, + 655, + 1307, + 71, + 27519, + 6621, + 425, + 6, + 185, + 4134, + 7, + 64739, + 1504, + 53734, + 14201, + 207, + 1501, + 20154, + 25, + 655, + 56772, + 6, + 185, + 4134, + 7, + 64739, + 1504, + 290, + 14201, + 207, + 1501, + 20154, + 25, + 655, + 686, + 6, + 185, + 10897, + 100001 + ], + "generated_token_ids_sha256": "20cf3156bfba4138d34b064cf8a5680f2397def26599e18f4afdbe7ca2421aa5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef encrypt(s):\n encrypted = ''\n for char in s:\n if 'a' <= char <= 'z':\n encrypted += chr((ord(char) - ord('a') + 2) % 26 + ord('a'))\n elif 'A' <= char <= 'Z':\n encrypted += chr((ord(char) - ord('A') + 2) % 26 + ord('A'))\n else:\n encrypted += char\n return encrypted\n```\n\nThis function works by iterating over each character in the input string. If the character is a lowercase or uppercase letter, it calculates the new character by adding 2 to the ASCII value of the character (since 'a' and 'A' have ASCII values 97 and 65, respectively), then taking the remainder of this sum when divided by 26 (to wrap around the alphabet if necessary), and finally converting this sum back to a character. If the character is not a letter, it is simply added to the encrypted string without modification.\n\nHere are the results for the provided examples:\n\n```python\nprint(encrypt('hi')) # Output: 'lm'\nprint(encrypt('asdfghjkl')) # Output: 'ewhjklnop'\nprint(encrypt('gf')) # Output: 'kj'\nprint(encrypt('et')) # Output: 'ix'\n```", + "text_sha256": "ac18630257b85e055ba950a6354e6ae378b2875b3e299561299eb43aa6a0cc10", + "uniform_steps_consumed": 323, + "uniform_uint64_prefix_sha256": "c90a28a462bab29f43efd85dae03ea76341cd24c72d86fb523a93ffaa9f85c74", + "uniform_uint64_first_eight_hex": [ + "855cebbd4f631762", + "8f336f0ffb4de6ee", + "f68457aa31fb89cb", + "5fbb904663f0efb8", + "81ea2cfa88d2d60f", + "dd9b939f673c689f", + "7861618fe23ef20f", + "460c7605bb4f77d0" + ], + "task_score": { + "candidate_sha256": "e93d7f471e6669033d3ef575b2478c7d48cdb123de54c48f4069eb8e430d17cf", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 157, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "8f71e9635b900c4239ba17caddcf32b1db5bde3aa97d212593d53a1e25784bc4", + "generated_tokens": 336, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 39123, + 7, + 82, + 1780, + 185, + 300, + 1501, + 9788, + 245, + 2662, + 280, + 254, + 32628, + 185, + 300, + 32628, + 403, + 655, + 95812, + 638, + 93750, + 14591, + 425, + 80, + 39011, + 12592, + 86, + 49228, + 6, + 185, + 251, + 185, + 300, + 1501, + 9788, + 274, + 7137, + 2662, + 276, + 2785, + 254, + 23504, + 9187, + 185, + 300, + 23504, + 403, + 15351, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 855, + 1319, + 5371, + 279, + 254, + 2782, + 2662, + 185, + 300, + 327, + 5371, + 279, + 252, + 25, + 185, + 391, + 1501, + 1273, + 254, + 5371, + 317, + 441, + 254, + 1562, + 5371, + 279, + 254, + 32628, + 11, + 8287, + 359, + 1224, + 457, + 984, + 285, + 36419, + 457, + 984, + 185, + 391, + 565, + 5371, + 3485, + 655, + 89, + 4161, + 185, + 595, + 23504, + 7324, + 32628, + 16282, + 20800, + 17192, + 13, + 3546, + 7, + 14373, + 8, + 919, + 207, + 17, + 9, + 17, + 8, + 3028, + 207, + 17, + 21, + 60, + 185, + 391, + 1501, + 1273, + 254, + 5371, + 317, + 254, + 1562, + 5371, + 279, + 254, + 32628, + 11, + 8287, + 359, + 1224, + 457, + 984, + 285, + 36419, + 457, + 984, + 11, + 937, + 12475, + 1983, + 276, + 254, + 1330, + 280, + 254, + 32628, + 185, + 391, + 1979, + 25, + 185, + 595, + 23504, + 7324, + 32628, + 16282, + 20800, + 17192, + 13, + 3546, + 7, + 14373, + 8, + 919, + 207, + 17, + 9, + 17, + 570, + 207, + 17, + 21, + 8, + 3028, + 207, + 17, + 21, + 60, + 185, + 251, + 185, + 300, + 1501, + 7898, + 254, + 23504, + 2662, + 185, + 300, + 972, + 23504, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 855, + 1319, + 5371, + 279, + 254, + 2782, + 2662, + 13, + 1273, + 254, + 5371, + 317, + 441, + 254, + 1562, + 5371, + 279, + 254, + 32628, + 11, + 359, + 26281, + 254, + 5371, + 1224, + 457, + 984, + 6171, + 285, + 937, + 984, + 691, + 6171, + 334, + 13074, + 395, + 6, + 248, + 53131, + 457, + 207, + 17, + 654, + 285, + 937, + 46577, + 1983, + 276, + 254, + 1330, + 280, + 254, + 32628, + 1244, + 254, + 50169, + 7086, + 13, + 1273, + 254, + 5371, + 317, + 254, + 1562, + 5371, + 279, + 254, + 32628, + 11, + 359, + 26281, + 254, + 5371, + 1224, + 457, + 984, + 6171, + 285, + 937, + 984, + 691, + 6171, + 11, + 285, + 937, + 46577, + 1983, + 276, + 254, + 1330, + 280, + 254, + 32628, + 1244, + 254, + 50169, + 7086, + 13, + 1002, + 11756, + 82913, + 254, + 32628, + 457, + 984, + 6171, + 13, + 100001 + ], + "generated_token_ids_sha256": "b49e265f4d942866ef8451b71d2c08f439eb54b78f551102e06e2a227c10b666", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef encrypt(s):\n # Create a string of the alphabet\n alphabet = 'abcdefghijklmnopqrstuvwxyz'\n \n # Create an empty string to hold the encrypted letters\n encrypted = ''\n \n # Iterate over each letter in the input string\n for letter in s:\n # If the letter is not the last letter in the alphabet, shift it down by two and multiply by two\n if letter != 'z':\n encrypted += alphabet[(alphabet.index(letter) + 2*2) % 26]\n # If the letter is the last letter in the alphabet, shift it down by two and multiply by two, then wrap around to the start of the alphabet\n else:\n encrypted += alphabet[(alphabet.index(letter) + 2*2 - 26) % 26]\n \n # Return the encrypted string\n return encrypted\n```\n\nThis function works by iterating over each letter in the input string. If the letter is not the last letter in the alphabet, it shifts the letter down by two places and then two more places (since we're multiplying by 2), and then wraps around to the start of the alphabet using the modulus operator. If the letter is the last letter in the alphabet, it shifts the letter down by two places and then two more places, and then wraps around to the start of the alphabet using the modulus operator. This effectively rotates the alphabet by two places.", + "text_sha256": "55c1284c63b3d31e06a760f4a176201aae0d65db09042ad809b3352ab4b1a571", + "uniform_steps_consumed": 336, + "uniform_uint64_prefix_sha256": "db9d06863a866fbd0905988684d58afcb6b623fa37d473e24db0f43501498a4a", + "uniform_uint64_first_eight_hex": [ + "855cebbd4f631762", + "8f336f0ffb4de6ee", + "f68457aa31fb89cb", + "5fbb904663f0efb8", + "81ea2cfa88d2d60f", + "dd9b939f673c689f", + "7861618fe23ef20f", + "460c7605bb4f77d0" + ], + "task_score": { + "candidate_sha256": "3bd1c05f7171e1347b92872900efe5638814f84a4f2b5fe51baa41816ab6649b", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 141, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0a3a849f8ef617b38e9707cef1fc1b98dc48360faf23d5f29d87f3035052acd2", + 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1501, + 7578, + 655, + 1307, + 71, + 27519, + 6621, + 425, + 6, + 185, + 4134, + 7, + 64739, + 1504, + 53734, + 14201, + 207, + 1501, + 7578, + 655, + 56772, + 6, + 185, + 4134, + 7, + 64739, + 1504, + 290, + 14201, + 207, + 1501, + 7578, + 655, + 686, + 6, + 100001 + ], + "generated_token_ids_sha256": "25ca4d63b9f3460e5b7d36d1b544bb0ba343ddaa54df16e43c8cfed5f0b47d59", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def encrypt(s):\n encrypted = ''\n for char in s:\n if char.isalpha():\n shift = 2\n if char.lower() == 'z':\n shift = 26 - (ord(char) - ord('a'))\n encrypted += chr((ord(char) - ord('a') + shift) % 26 + ord('a'))\n else:\n encrypted += char\n return encrypted\n\n# Test cases\nprint(encrypt('hi')) # returns 'lm'\nprint(encrypt('asdfghjkl')) # returns 'ewhjklnop'\nprint(encrypt('gf')) # returns 'kj'\nprint(encrypt('et')) # returns 'ix'", + "text_sha256": "632075b53e6e84605a5577d5563bdd6d224e7484280a422d63b341ee09cd4f01", + "uniform_steps_consumed": 166, 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"639217e488eefa8f287c2c107f876ff2ae567fc8ba5f4cb144650e84928fd9b7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " from typing import List, Tuple\n\n\ndef rolling_max(numbers: List[int]) -> List[int]:\n \"\"\" From a given list of integers, generate a list of rolling maximum element found until given moment\n in the sequence.\n >>> rolling_max([1, 2, 3, 2, 3, 4, 2])\n [1, 2, 3, 3, 3, 4, 4]\n \"\"\"\n max_values = []\n for i in range(len(numbers)):\n max_values.append(max(numbers[:i+1]))\n return max_values\n\n\nif __name__ == \"__main__\":\n import doctest\n doctest.testmod()", + "text_sha256": "bf4c5f8e32b29e86d35746a9870ec0388fba1046b7e9115c13d9fb23d9de4f1c", + "uniform_steps_consumed": 171, + "uniform_uint64_prefix_sha256": "7146fd76764d0464723dd9180a3a2aab7e77ee61a364e0bdfca2a1c2a3f12c3b", + "uniform_uint64_first_eight_hex": [ + "01d8745c604111b2", + "9201f0a10eb063af", + "769d63b5132e6419", + "0991e98929cf1c78", + "ac59abe7b2b7a0c6", + "94ae130425f96cc3", + "042838b59538311f", + "4fa7433e300f8a88" + ], + "task_score": { + "candidate_sha256": "221964c242929e08ba241414ecab4b1b76c0034ffda3cdc939ef6f0ec3f94239", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 145, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "8184e96105479bd22c9a1190811a66dc907b566d7cc5d865e90714c4bddc3140", + "generated_tokens": 267, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 481, + 938, + 245, + 1525, + 276, + 2240, + 4184, + 280, + 254, + 6059, + 1437, + 1503, + 558, + 2367, + 279, + 254, + 6905, + 13, + 1003, + 543, + 26122, + 437, + 1525, + 366, + 254, + 1022, + 3699, + 280, + 254, + 2782, + 1525, + 13, + 2928, + 11, + 327, + 1319, + 15500, + 3699, + 11, + 395, + 543, + 3979, + 254, + 6059, + 1437, + 1503, + 558, + 2367, + 285, + 13471, + 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207, + 18, + 11, + 207, + 18, + 11, + 207, + 19, + 11, + 207, + 19, + 60, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 1184, + 254, + 2782, + 1525, + 285, + 8435, + 4184, + 280, + 254, + 6059, + 1437, + 1503, + 558, + 2367, + 279, + 254, + 2030, + 3978, + 62, + 9253, + 63, + 1525, + 13, + 429, + 6059, + 1437, + 317, + 7984, + 327, + 1319, + 761, + 3699, + 279, + 254, + 6905, + 13, + 429, + 1230, + 317, + 245, + 1525, + 280, + 254, + 18740, + 6059, + 3039, + 13, + 100001 + ], + "generated_token_ids_sha256": "91444ab53c19db94a87e154dd6de7c0fdc9d71ca8bac9b9c7bf0c4b4ff15d298", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we can use a list to keep track of the maximum value found so far in the sequence. We will initialize this list with the first element of the input list. Then, for each subsequent element, we will update the maximum value found so far and append it to the result list.\n\nHere is the implementation of the `rolling_max` function:\n\n```python\nfrom typing import List, Tuple\n\ndef rolling_max(numbers: List[int]) -> List[int]:\n max_values = [numbers[0]]\n for num in numbers[1:]:\n max_values.append(max(max_values[-1], num))\n return max_values\n\n# Example usage:\nprint(rolling_max([1, 2, 3, 2, 3, 4, 2])) # Output: [1, 2, 3, 3, 3, 4, 4]\n```\n\nThis function works by iterating through the input list and keeping track of the maximum value found so far in the `max_values` list. The maximum value is updated for each new element in the sequence. The result is a list of the rolling maximum values.", + "text_sha256": "3f9954cd0803ac69c08c4a2ab93434219abf0165a8426f22f7997b671eccf1cb", + "uniform_steps_consumed": 267, + "uniform_uint64_prefix_sha256": "1dddfa81cdea8bc390893d3cccd3b45cbcc6d15e66a683e83e45102b2f07ec87", + "uniform_uint64_first_eight_hex": [ + "01d8745c604111b2", + "9201f0a10eb063af", + "769d63b5132e6419", + "0991e98929cf1c78", + "ac59abe7b2b7a0c6", + "94ae130425f96cc3", + "042838b59538311f", + "4fa7433e300f8a88" + ], + "task_score": { + "candidate_sha256": "1f2c76de0ac20dc0e44f22a072e5f7f85ae7f35c3aaa301040cd2a86dd295836", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 129, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "291c2ed1cb9da436089593aa753cb375638b9d53e5501178493a8dde34c0b986", + "generated_tokens": 109, + "generated_token_ids": [ + 473, + 23134, + 1666, + 5896, + 11, + 68776, + 185, + 185, + 1558, + 18740, + 62, + 3978, + 7, + 39520, + 25, + 5896, + 58, + 572, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 3044, + 62, + 2502, + 403, + 9636, + 185, + 300, + 3044, + 62, + 6485, + 403, + 5750, + 58, + 15, + 60, + 185, + 300, + 327, + 1183, + 279, + 5750, + 25, + 185, + 391, + 3044, + 62, + 6485, + 403, + 3044, + 7, + 3978, + 62, + 6485, + 11, + 1183, + 8, + 185, + 391, + 3044, + 62, + 2502, + 13, + 6880, + 7, + 3978, + 62, + 6485, + 8, + 185, + 300, + 972, + 3044, + 62, + 2502, + 185, + 185, + 4134, + 7, + 13264, + 62, + 3978, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 19, + 11, + 207, + 17, + 26034, + 100001 + ], + "generated_token_ids_sha256": "a5f2449107165c41250a30674e52e9654b632726c0c9fdde0f979ad6cacfdbb4", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " from typing import List, Tuple\n\ndef rolling_max(numbers: List[int]) -> List[int]:\n max_list = []\n max_num = numbers[0]\n for num in numbers:\n max_num = max(max_num, num)\n max_list.append(max_num)\n return max_list\n\nprint(rolling_max([1, 2, 3, 2, 3, 4, 2]))", + "text_sha256": "e7f32f2659180ff309a068c884cbf1ce05e5e2b665526b7aab02ce5d5073141a", + "uniform_steps_consumed": 109, + "uniform_uint64_prefix_sha256": "57384f30808bf153710b649c3851d9acdc64a23cfa10dfdecf5ea32e6d23aa55", + "uniform_uint64_first_eight_hex": [ + "01d8745c604111b2", + "9201f0a10eb063af", + "769d63b5132e6419", + "0991e98929cf1c78", + "ac59abe7b2b7a0c6", + "94ae130425f96cc3", + "042838b59538311f", + "4fa7433e300f8a88" + ], + "task_score": { + "candidate_sha256": "3341f46be9da6166ff5249a7bcbdc1f4a7d854a07f5ed3ca62b40ec12f339e40", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 145, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "99407e98c7466d740a08944eccb2ecb1a6e4d256d78950b963a4fdb7bf5f82df", + "generated_tokens": 109, + "generated_token_ids": [ + 473, + 23134, + 1666, + 5896, + 11, + 68776, + 185, + 185, + 1558, + 18740, + 62, + 3978, + 7, + 39520, + 25, + 5896, + 58, + 572, + 5855, + 5052, + 5896, + 58, + 572, + 5864, + 185, + 300, + 3044, + 62, + 2502, + 403, + 9636, + 185, + 300, + 3044, + 62, + 6485, + 403, + 5750, + 58, + 15, + 60, + 185, + 300, + 327, + 1183, + 279, + 5750, + 25, + 185, + 391, + 3044, + 62, + 6485, + 403, + 3044, + 7, + 3978, + 62, + 6485, + 11, + 1183, + 8, + 185, + 391, + 3044, + 62, + 2502, + 13, + 6880, + 7, + 3978, + 62, + 6485, + 8, + 185, + 300, + 972, + 3044, + 62, + 2502, + 185, + 185, + 4134, + 7, + 13264, + 62, + 3978, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 17, + 11, + 207, + 18, + 11, + 207, + 19, + 11, + 207, + 17, + 26034, + 100001 + ], + "generated_token_ids_sha256": "a5f2449107165c41250a30674e52e9654b632726c0c9fdde0f979ad6cacfdbb4", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " from typing import List, Tuple\n\ndef rolling_max(numbers: List[int]) -> List[int]:\n max_list = []\n max_num = numbers[0]\n for num in numbers:\n max_num = max(max_num, num)\n max_list.append(max_num)\n return max_list\n\nprint(rolling_max([1, 2, 3, 2, 3, 4, 2]))", + "text_sha256": "e7f32f2659180ff309a068c884cbf1ce05e5e2b665526b7aab02ce5d5073141a", + "uniform_steps_consumed": 109, + "uniform_uint64_prefix_sha256": "57384f30808bf153710b649c3851d9acdc64a23cfa10dfdecf5ea32e6d23aa55", + "uniform_uint64_first_eight_hex": [ + "01d8745c604111b2", + "9201f0a10eb063af", + "769d63b5132e6419", + "0991e98929cf1c78", + "ac59abe7b2b7a0c6", + "94ae130425f96cc3", + "042838b59538311f", + "4fa7433e300f8a88" + ], + "task_score": { + "candidate_sha256": 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1794, + 826, + 185, + 10897, + 185, + 185, + 1847, + 254, + 1157, + 317, + 12736, + 9695, + 11, + 437, + 543, + 441, + 2827, + 3270, + 13, + 1273, + 745, + 418, + 688, + 6614, + 11, + 359, + 543, + 3640, + 768, + 636, + 13, + 100001 + ], + "generated_token_ids_sha256": "bf812ffe10647a7317d73c6b6895fc6c1f0c5b0f9eaf7ba94000c6f32a5ba98a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The function `add(x: int, y: int)` is defined to add two integers `x` and `y`. However, there is a small error in the docstring. The docstring should be written in reStructuredText format, not markdown. Here is the corrected version:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function will return the sum of `x` and `y`. If you want to test this function, you can use the `doctest` module in Python. Here is an example:\n\n```python\nimport doctest\ndoctest.testmod()\n```\n\nIf the function is implemented correctly, this will not output anything. If there are any errors, it will print them out.", + "text_sha256": "464514ebc806a4504a8d8956690b31e4a751b560e6092f634cb979ba35b73f97", + "uniform_steps_consumed": 212, + "uniform_uint64_prefix_sha256": "5586d59ac43118c9fde47acbd4950b15250b68baa3c8ad8f19ca0db31a24510b", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7f940c04c638ecedb8a0b110cd4c8fbda36835d1034d50bf4f9ed58cb5deb480", + "generated_tokens": 206, + "generated_token_ids": [ + 429, + 1157, + 6525, + 340, + 4286, + 317, + 29444, + 13, + 4462, + 317, + 254, + 3938, + 1157, + 366, + 6792, + 24393, + 1319, + 697, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 185, + 300, + 4294, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 1193, + 2290, + 1376, + 25, + 429, + 1022, + 1604, + 185, + 300, + 1193, + 2290, + 320, + 25, + 429, + 1864, + 1604, + 185, + 300, + 1193, + 2136, + 25, + 429, + 2555, + 280, + 1376, + 285, + 320, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 2030, + 87, + 63, + 285, + 2030, + 88, + 12181, + 1572, + 280, + 588, + 1534, + 330, + 26559, + 13, + 809, + 7578, + 254, + 2555, + 280, + 1069, + 984, + 5750, + 13, + 429, + 1157, + 317, + 839, + 46334, + 366, + 245, + 1449, + 13357, + 327, + 2030, + 87, + 63, + 285, + 2030, + 88, + 63, + 276, + 5462, + 344, + 657, + 418, + 26559, + 11, + 285, + 245, + 1449, + 13357, + 327, + 254, + 1157, + 6, + 82, + 972, + 1437, + 276, + 10346, + 344, + 359, + 1023, + 330, + 274, + 10858, + 13, + 185, + 185, + 2054, + 481, + 938, + 437, + 1157, + 279, + 520, + 2985, + 837, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 4260, + 403, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 4134, + 7, + 4260, + 8, + 207, + 1501, + 20154, + 82, + 25, + 207, + 20, + 185, + 10897, + 100001 + ], + "generated_token_ids_sha256": "008f3ad4a12b00a3f513c570f2dc739527190fe68801d5bd189a1092fe374bd7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The function definition you provided is incomplete. Here is the complete function with comments explaining each part:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"\n Add two numbers x and y\n :param x: The first number\n :param y: The second number\n :return: The sum of x and y\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, `x` and `y`, both of which must be integers. It returns the sum of these two numbers. The function is also annotated with a type hint for `x` and `y` to ensure that they are integers, and a type hint for the function's return value to indicate that it should be an integer.\n\nYou can use this function in your code like this:\n\n```python\nresult = add(2, 3)\nprint(result) # Outputs: 5\n```", + "text_sha256": "213238db683b6d0fcf9af600e3a62162b62b1cc887759731aec572bf15045950", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "ed626c05e55d779e9f554cb9b1c948cd6af532e6b25c832287c9cb6c5ee0fcb6", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "04dac3702dd1e1bf4f2dad932656891f0010306634e92463c81e16cf76b3f812", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 77, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec54e0e01336904d56e9cc549161965f86745d0cd20077962b98e5c9cf832d37", + "generated_tokens": 164, + "generated_token_ids": [ + 429, + 2985, + 340, + 4286, + 317, + 245, + 1157, + 6525, + 327, + 7227, + 984, + 26559, + 13, + 3159, + 11, + 254, + 1157, + 317, + 7085, + 254, + 9674, + 280, + 254, + 4317, + 6225, + 13, + 4462, + 6, + 82, + 254, + 3938, + 1157, + 366, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 1572, + 280, + 1449, + 2030, + 572, + 12181, + 285, + 7578, + 274, + 10858, + 13, + 429, + 1157, + 317, + 4218, + 1244, + 254, + 2030, + 1558, + 63, + 25973, + 11, + 285, + 254, + 1449, + 28328, + 418, + 4286, + 1244, + 254, + 2030, + 1120, + 63, + 7086, + 13, + 429, + 6774, + 2612, + 5312, + 6987, + 280, + 946, + 254, + 1157, + 481, + 330, + 1222, + 285, + 856, + 359, + 1023, + 536, + 13, + 100001 + ], + "generated_token_ids_sha256": "08f88dd5e77ed5481a667f4d0cfc6449f52fb0f1a12073d58bc68b9767de276c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The code you provided is a function definition for adding two integers. However, the function is missing the implementation of the addition operation. Here's the complete function with the implementation:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, both of type `int`, and returns an integer. The function is defined using the `def` keyword, and the type hints are provided using the `->` operator. The docstring includes examples of how the function can be used and what it should do.", + "text_sha256": "dca7bf9a0e2c23bf7eea2d4f88e8bd84d70882addc41d2a237ba1425a03ab777", + "uniform_steps_consumed": 164, + "uniform_uint64_prefix_sha256": "260bc4175617088f1d1d7a9f5248a2230da1cd67ce4176c96ea75f656ece2d41", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "77c3060afe3b490baabdcdb1e01d32f9978db8d9dd2737366022e3240e1bc48e", + "generated_tokens": 85, + "generated_token_ids": [ + 429, + 1157, + 2030, + 1770, + 63, + 4497, + 984, + 4823, + 2030, + 87, + 63, + 285, + 2030, + 88, + 12181, + 1572, + 280, + 1449, + 2030, + 572, + 12181, + 285, + 7578, + 704, + 2555, + 13, + 429, + 1157, + 317, + 4218, + 366, + 245, + 6774, + 2612, + 344, + 5312, + 6987, + 280, + 895, + 8175, + 13, + 429, + 6987, + 418, + 33024, + 279, + 18038, + 17201, + 285, + 418, + 30971, + 372, + 2985, + 6792, + 13, + 429, + 6987, + 418, + 441, + 14658, + 372, + 697, + 280, + 254, + 1157, + 548, + 418, + 1222, + 276, + 15447, + 946, + 254, + 1157, + 481, + 330, + 2424, + 285, + 856, + 254, + 4061, + 2827, + 1023, + 330, + 13, + 100001 + ], + "generated_token_ids_sha256": "94bb19f2316d8aea241d9e4b402f87e833403e4f82b8dc49fded5009423e7842", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The function `add` takes two parameters `x` and `y`, both of type `int`, and returns their sum. The function is defined with a docstring that includes examples of its usage. The examples are enclosed in triple quotes and are formatted as code comments. The examples are not executed as part of the function but are used to demonstrate how the function can be called and what the expected output should be.", + "text_sha256": "504b2b0173a15c225dd33e87362cc01922ca3e62370056041d81d5f1bdd374d3", + "uniform_steps_consumed": 85, + "uniform_uint64_prefix_sha256": "bcf4821dd75ebaa973f9684fc2b7dd328010184f0ab71e06f234459def157d16", + "uniform_uint64_first_eight_hex": [ + "1f0b1572f92e8179", + "59ea8b8498d05ac7", + "abb73982cbec71bd", + "be9d90bd6359433f", + "695d5915dcca6056", + "e6450c6e9b6663a4", + "483d51a802a3da10", + "6503f7360d45de50" + ], + "task_score": { + "candidate_sha256": "173e062bc4fbc6d5a34be891b4333188caf911c11a0d1c69bd24348300daeeb9", + "python_ast_parse": false, + "parse_error": { + "type": "SyntaxError", + "line": 1, + "offset": 5 + }, + "code_executed": false + } + } + ] + }, + { + "replicate_index": 1, + "replicate_label": "T1", + "tape_label": "T1", + "base_seed": 399507326, + "run_seed": 1815323729989853905, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "2a944785c296538c67f0693cc39c570ceb41b54bc45240c46c2fcb79f77e9693", + "cuda_device_sha256": [ + "76cc6423d8b460d9e08406892d619c8a5b3aa2d7fe81d92b951cb0f40af76852" + ], + "cuda_combined_sha256": "3f302ae5c3590b7550ca576aac614dcaa7a11cf1ee2b0efcb54252ae414b8d54" + }, + "rng_state_after": { + "cpu_sha256": "2a944785c296538c67f0693cc39c570ceb41b54bc45240c46c2fcb79f77e9693", + "cuda_device_sha256": [ + "76cc6423d8b460d9e08406892d619c8a5b3aa2d7fe81d92b951cb0f40af76852" + ], + "cuda_combined_sha256": "3f302ae5c3590b7550ca576aac614dcaa7a11cf1ee2b0efcb54252ae414b8d54" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 181, + "uniform_uint64_sha256": "1d48e7ef7d7de069e0eb0b251312f9afcb7010659cc2d2e658dc0c4e1c334511", + "uniform_uint64_first_eight_hex": [ + "6dd4df8bc8a2aa3b", + "39b9dc54e495dcce", + "6dfbd52561b06a44", + "e842e3e350b227d6", + "8cbd2925373f973a", + "ea2f4e32de8e5227", + "24c96d553d5d353d", + "685c259d9029c349" + ], + "uniform_float32_first_eight": [ + 0.4290294349193573, + 0.22549225389957428, + 0.42962390184402466, + 0.9072706699371338, + 0.5497613549232483, + 0.91478431224823, + 0.1436985284090042, + 0.4076560437679291 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 7, + "generation_seconds": 31.947119012998883, + "peak_cuda_memory_allocated_bytes": 28523120128, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 77, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0b193aaf07fe7f97b6b991cc9f5ceea6b4dd2ce1647b22b562c8ff6e645f49c3", + "generated_tokens": 139, + "generated_token_ids": [ + 4462, + 317, + 254, + 12974, + 2985, + 327, + 254, + 1157, + 2030, + 1770, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 1572, + 280, + 588, + 1534, + 330, + 26559, + 13, + 809, + 7578, + 254, + 2555, + 280, + 254, + 984, + 5750, + 13, + 429, + 1449, + 13357, + 327, + 254, + 1157, + 4823, + 317, + 2030, + 572, + 12181, + 285, + 254, + 1449, + 13357, + 327, + 254, + 972, + 1437, + 317, + 2030, + 572, + 13557, + 429, + 972, + 1437, + 317, + 10711, + 457, + 7227, + 2030, + 87, + 63, + 285, + 2030, + 88, + 13557, + 100001 + ], + "generated_token_ids_sha256": "cd85ac652eff139d40cf510271e6c43ed2a1ff3a517e2d974b3e3c56d6a88dc7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is the Python code for the function `add`:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, both of which must be integers. It returns the sum of the two numbers. The type hint for the function parameters is `int`, and the type hint for the return value is `int`. The return value is calculated by adding `x` and `y`.", + "text_sha256": "7aa640eda2fce3df3aa1812a28f50f1576519b9973753e7a30299a962315ab5e", + "uniform_steps_consumed": 139, + "uniform_uint64_prefix_sha256": "610cb5e849ce8f4f1e8ef673fec517460eb5f9e4260be08b0780803cbd9d88b2", + "uniform_uint64_first_eight_hex": [ + "6dd4df8bc8a2aa3b", + "39b9dc54e495dcce", + "6dfbd52561b06a44", + "e842e3e350b227d6", + "8cbd2925373f973a", + "ea2f4e32de8e5227", + "24c96d553d5d353d", + "685c259d9029c349" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7f940c04c638ecedb8a0b110cd4c8fbda36835d1034d50bf4f9ed58cb5deb480", + "generated_tokens": 130, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 1770, + 63, + 1157, + 279, + 12974, + 11, + 340, + 481, + 938, + 254, + 1893, + 2985, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 1572, + 280, + 588, + 1534, + 330, + 26559, + 11, + 285, + 7578, + 704, + 2555, + 372, + 274, + 10858, + 13, + 429, + 1157, + 317, + 28646, + 366, + 245, + 6774, + 2612, + 344, + 5312, + 6987, + 280, + 946, + 276, + 938, + 359, + 11, + 372, + 7116, + 279, + 254, + 9137, + 13, + 100001 + ], + "generated_token_ids_sha256": "42b32ab16b6fe6ad7ca9d9e783e9932fa12714d2f74538a50d2ff7733f876eb7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `add` function in Python, you can use the following code:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, both of which must be integers, and returns their sum as an integer. The function is documented with a docstring that includes examples of how to use it, as specified in the prompt.", + "text_sha256": "5ab20487fe766792829b90c29e215fe437096d67d79bc5db665e3f3147ed0831", + "uniform_steps_consumed": 130, + "uniform_uint64_prefix_sha256": "7e039c4114519070af42a1a8e664f0f3abb585f3b9aa52e6c3af774c190d3ad7", + "uniform_uint64_first_eight_hex": [ + "6dd4df8bc8a2aa3b", + "39b9dc54e495dcce", + "6dfbd52561b06a44", + "e842e3e350b227d6", + "8cbd2925373f973a", + "ea2f4e32de8e5227", + "24c96d553d5d353d", + "685c259d9029c349" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 77, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec54e0e01336904d56e9cc549161965f86745d0cd20077962b98e5c9cf832d37", + "generated_tokens": 181, + "generated_token_ids": [ + 4462, + 317, + 254, + 12974, + 1157, + 2030, + 1770, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 64166, + 344, + 12852, + 984, + 26559, + 2030, + 87, + 63, + 285, + 2030, + 88, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 4823, + 11, + 1572, + 280, + 1449, + 2030, + 572, + 12181, + 285, + 7578, + 704, + 2555, + 839, + 280, + 1449, + 2030, + 572, + 13557, + 429, + 2030, + 1120, + 1098, + 63, + 697, + 317, + 254, + 972, + 1449, + 13357, + 11, + 18359, + 344, + 254, + 1157, + 543, + 972, + 274, + 10858, + 13, + 185, + 185, + 2054, + 481, + 938, + 437, + 1157, + 279, + 245, + 12974, + 4756, + 837, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 4260, + 403, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 4134, + 7, + 4260, + 8, + 207, + 1501, + 20154, + 82, + 25, + 207, + 20, + 185, + 10897, + 100001 + ], + "generated_token_ids_sha256": "0ca296eb6923e31269cc525e41134c2b87c44d6850b8927618683fa5787c8167", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is the Python function `add(x: int, y: int)` that adds two integers `x` and `y`:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two parameters, both of type `int`, and returns their sum also of type `int`. The `-> int` part is the return type hint, indicating that the function will return an integer.\n\nYou can use this function in a Python script like this:\n\n```python\nresult = add(2, 3)\nprint(result) # Outputs: 5\n```", + "text_sha256": "6af6966a4f52426ae5f375ebcc852c70e9ee6c992c6093a339ff841010bf37c5", + "uniform_steps_consumed": 181, + "uniform_uint64_prefix_sha256": "1d48e7ef7d7de069e0eb0b251312f9afcb7010659cc2d2e658dc0c4e1c334511", + "uniform_uint64_first_eight_hex": [ + "6dd4df8bc8a2aa3b", + "39b9dc54e495dcce", + "6dfbd52561b06a44", + "e842e3e350b227d6", + "8cbd2925373f973a", + "ea2f4e32de8e5227", + "24c96d553d5d353d", + "685c259d9029c349" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "77c3060afe3b490baabdcdb1e01d32f9978db8d9dd2737366022e3240e1bc48e", + "generated_tokens": 60, + "generated_token_ids": [ + 977, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 100001 + ], + "generated_token_ids_sha256": "b565df64923666a0c502eede06e83ac62aba3a16c6b1f1ac87b695cdaaa228c5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y", + "text_sha256": 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It returns the sum of these two numbers. The `-> int` part is the return type hint, indicating that the function will return an integer.", + "text_sha256": "d0f3316bbb8c3176cc4e137209792786bfd41ee600f4f03836d914558f09888f", + "uniform_steps_consumed": 123, + "uniform_uint64_prefix_sha256": "61e188ea3f4bc08276a01f432523782d303401d1af710f4098af82fab7fa6239", + "uniform_uint64_first_eight_hex": [ + "eb006b2693c32500", + "f8adcad2cead9fe0", + "80c2938080d9aef5", + "addc0342d8c798dd", + "b129c7c8c9bba35e", + "3b71f00afd10b892", + "039b3bd1d54623c8", + "73eb93b0d4c502e8" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7f940c04c638ecedb8a0b110cd4c8fbda36835d1034d50bf4f9ed58cb5deb480", + "generated_tokens": 65, + "generated_token_ids": [ + 34083, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 100001 + ], + "generated_token_ids_sha256": "e50aee87e1db65c6ad1f6fb4d64715b041d5e6c1c9f39ae5284f58208591e0ae", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " ```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```", + "text_sha256": "b263b5191889e5669276b1074ea424e3a7b85304e3d3339458d744ee74c11570", + "uniform_steps_consumed": 65, + "uniform_uint64_prefix_sha256": "56ab9b578870d901788e2e62255238124da57cd49a7c4f2d505243c14f91f00f", + "uniform_uint64_first_eight_hex": [ + "eb006b2693c32500", + "f8adcad2cead9fe0", + "80c2938080d9aef5", + "addc0342d8c798dd", + "b129c7c8c9bba35e", + "3b71f00afd10b892", + "039b3bd1d54623c8", + "73eb93b0d4c502e8" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 77, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec54e0e01336904d56e9cc549161965f86745d0cd20077962b98e5c9cf832d37", + "generated_tokens": 65, + "generated_token_ids": [ + 34083, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 100001 + ], + "generated_token_ids_sha256": "e50aee87e1db65c6ad1f6fb4d64715b041d5e6c1c9f39ae5284f58208591e0ae", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " ```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```", + "text_sha256": "b263b5191889e5669276b1074ea424e3a7b85304e3d3339458d744ee74c11570", + "uniform_steps_consumed": 65, + "uniform_uint64_prefix_sha256": "56ab9b578870d901788e2e62255238124da57cd49a7c4f2d505243c14f91f00f", + "uniform_uint64_first_eight_hex": [ + "eb006b2693c32500", + "f8adcad2cead9fe0", + "80c2938080d9aef5", + "addc0342d8c798dd", + "b129c7c8c9bba35e", + "3b71f00afd10b892", + "039b3bd1d54623c8", + "73eb93b0d4c502e8" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "77c3060afe3b490baabdcdb1e01d32f9978db8d9dd2737366022e3240e1bc48e", + "generated_tokens": 60, + "generated_token_ids": [ + 977, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 100001 + ], + "generated_token_ids_sha256": "b565df64923666a0c502eede06e83ac62aba3a16c6b1f1ac87b695cdaaa228c5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y", + "text_sha256": "c52ab3acc5b2eb8eff233a6ae54a2777563382ffe733d2027e5ef43c32adbbdb", + "uniform_steps_consumed": 60, + "uniform_uint64_prefix_sha256": "c731a25f5a9f79af41580e6b478c6dce899d6db15962918ea3b13ae786c17a27", + "uniform_uint64_first_eight_hex": [ + "eb006b2693c32500", + "f8adcad2cead9fe0", + "80c2938080d9aef5", + "addc0342d8c798dd", + "b129c7c8c9bba35e", + "3b71f00afd10b892", + "039b3bd1d54623c8", + "73eb93b0d4c502e8" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + 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It returns the sum of these two integers. The `-> int` part is the return type hint, indicating that the function will return an integer.\n\nPlease note that in Python, you don't need to specify the type of the arguments in the function definition. Python is a dynamically typed language, so the function will work with any type of arguments, not just integers. If you want to ensure that the arguments are integers, you can add a type check inside the function body.", + "text_sha256": "21b85dff90014371dcc9fac8d816c3a96de761024e61094addaea101875a6f66", + "uniform_steps_consumed": 208, + "uniform_uint64_prefix_sha256": "89ec37a2c081c093c6de91192a207b7776b919cfa450d957fbcbe0726d22800b", + "uniform_uint64_first_eight_hex": [ + "8739d4e749a17e72", + "d35f99950980e0e3", + "f1a9b97221ed7ad2", + "cd2fbc506646fc3c", + "60455dac55facd81", + "d26575e9ed515d25", + "0d98c5a83284a294", + "3d0fcec807fa907b" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7f940c04c638ecedb8a0b110cd4c8fbda36835d1034d50bf4f9ed58cb5deb480", + "generated_tokens": 160, + "generated_token_ids": [ + 4462, + 317, + 254, + 12974, + 1157, + 2030, + 1770, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 64166, + 344, + 12852, + 984, + 26559, + 2030, + 87, + 63, + 285, + 2030, + 88, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 1572, + 280, + 588, + 1534, + 330, + 26559, + 13, + 809, + 7578, + 254, + 2555, + 280, + 1069, + 984, + 26559, + 13, + 429, + 2030, + 1120, + 1098, + 63, + 697, + 317, + 254, + 972, + 1449, + 13357, + 11, + 18359, + 344, + 254, + 1157, + 543, + 972, + 274, + 10858, + 13, + 429, + 1157, + 317, + 839, + 6774, + 2612, + 317, + 4286, + 276, + 7183, + 856, + 254, + 1157, + 1217, + 285, + 946, + 359, + 481, + 330, + 1222, + 13, + 100001 + ], + "generated_token_ids_sha256": "facb5b44e90a9d4d3edb8d459aaaf9aec956e8bc19848c9119252ccacf920b12", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is the Python function `add(x: int, y: int)` that adds two integers `x` and `y`:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, both of which must be integers. It returns the sum of these two integers. The `-> int` part is the return type hint, indicating that the function will return an integer. The function is also docstring is provided to describe what the function does and how it can be used.", + "text_sha256": "1cc437bb7d2599422ee999c16d45d31176a526e76ffce175be93de3f5e76e972", + "uniform_steps_consumed": 160, + "uniform_uint64_prefix_sha256": "b85d6ccbf6b2d1adf4bec179f12080882b46a19ff1b58e4bf8ebf9247bbb9aa8", + "uniform_uint64_first_eight_hex": [ + "8739d4e749a17e72", + "d35f99950980e0e3", + "f1a9b97221ed7ad2", + "cd2fbc506646fc3c", + "60455dac55facd81", + "d26575e9ed515d25", + "0d98c5a83284a294", + "3d0fcec807fa907b" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 77, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "ec54e0e01336904d56e9cc549161965f86745d0cd20077962b98e5c9cf832d37", + "generated_tokens": 167, + "generated_token_ids": [ + 4462, + 317, + 254, + 12974, + 1157, + 2030, + 1770, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 64166, + 344, + 12852, + 984, + 26559, + 2030, + 87, + 63, + 285, + 2030, + 88, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 7, + 87, + 25, + 1098, + 11, + 320, + 25, + 1098, + 8, + 5052, + 1098, + 25, + 185, + 300, + 8066, + 3525, + 984, + 5750, + 1376, + 285, + 320, + 185, + 300, + 24922, + 962, + 7, + 17, + 11, + 207, + 18, + 8, + 185, + 251, + 20, + 185, + 300, + 24922, + 962, + 7, + 20, + 11, + 207, + 22, + 8, + 185, + 251, + 16, + 17, + 185, + 300, + 8066, + 185, + 300, + 972, + 1376, + 919, + 320, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 4497, + 984, + 9103, + 11, + 1572, + 280, + 588, + 1534, + 330, + 26559, + 13, + 809, + 7578, + 254, + 2555, + 280, + 1069, + 984, + 26559, + 13, + 429, + 2030, + 1120, + 1098, + 63, + 697, + 1166, + 254, + 1157, + 6525, + 317, + 245, + 1449, + 13357, + 344, + 10496, + 254, + 1157, + 276, + 972, + 274, + 10858, + 13, + 429, + 2030, + 25, + 1098, + 63, + 697, + 1166, + 254, + 6758, + 4773, + 317, + 245, + 1449, + 13357, + 344, + 10496, + 254, + 1157, + 276, + 2162, + 274, + 10858, + 327, + 344, + 6758, + 13, + 100001 + ], + "generated_token_ids_sha256": "bb755ab8c148a9661b02629547b9a22d7479e4692777af53185881604a617403", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is the Python function `add(x: int, y: int)` that adds two integers `x` and `y`:\n\n```python\ndef add(x: int, y: int) -> int:\n \"\"\"Add two numbers x and y\n >>> add(2, 3)\n 5\n >>> add(5, 7)\n 12\n \"\"\"\n return x + y\n```\n\nThis function takes two arguments, both of which must be integers. It returns the sum of these two integers. The `-> int` part after the function definition is a type hint that tells the function to return an integer. The `: int` part after the argument names is a type hint that tells the function to expect an integer for that argument.", + "text_sha256": "4df8c61e09afe69cdd1803b0aeab34d178471e6119003c79a096d89c2221e9ba", + "uniform_steps_consumed": 167, + "uniform_uint64_prefix_sha256": "2632c96cc081376b7f48e32cf994c8db80182ca87a3349362b3bb43dc6af99cb", + "uniform_uint64_first_eight_hex": [ + "8739d4e749a17e72", + "d35f99950980e0e3", + "f1a9b97221ed7ad2", + "cd2fbc506646fc3c", + "60455dac55facd81", + "d26575e9ed515d25", + "0d98c5a83284a294", + "3d0fcec807fa907b" + ], + "task_score": { + "candidate_sha256": "2e1147e8abbed16b45978da0b2e795d8db25de50fdc3b9ab277ae05868f926b1", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 93, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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Define a helper function to calculate the sum of digits of a given number.\n2. Sort the list of numbers using a custom key that calculates the sum of digits and uses the original index as a secondary sort key.\n3. Return the sorted list.\n\nHere's the Python code that accomplishes this:\n\n```python\ndef order_by_points(nums):\n def sum_of_digits(n):\n return sum(int(digit) for digit in str(n))\n \n # Sort the list using the custom key function\n return sorted(nums, key=lambda x: (sum_of_digits(x), nums.index(x)))\n\n# Example usage:\nprint(order_by_points([1, 11, -1, -11, -12])) # Output: [-1, -11, 1, -12, 11]\nprint(order_by_points([])) # Output: []\n```\n\n### Explanation:\n- **sum_of_digits(n)**: This helper function converts the number `n` to a string to iterate over its digits, converts each digit back to an integer, and sums them up.\n- **Sorting with a custom key**: The `sorted` function is used with a key that returns a tuple. The first element of the tuple is the sum of digits (`sum_of_digits(x)`), and the second element is the original index of the number (`nums.index(x)`). This ensures that numbers with the same sum of digits are ordered based on their original order in the list.\n\nThis function will correctly sort the list of integers based on the sum of their digits and their original order in the list.", + "text_sha256": "814f95d3f0d4dec4b72f549d9642fe988cd825ee185021a38981c4001088c890", + "uniform_steps_consumed": 406, + "uniform_uint64_prefix_sha256": "a710d64dc2c9704a5f94e629b151dc0ac86548f1dc1e49e62857a80b926896be", + "uniform_uint64_first_eight_hex": [ + "4f511a66c4017df8", + "496eaa650af55f0c", + "149ed26afcff3fc7", + "b0b27b0db8eb6fbe", + "149a241cb95a4b59", + "019c854ddfcee23e", + "61e499616d4744ae", + "a06a7f59ab9556c3" + ], + "task_score": { + "candidate_sha256": "9fd900559d931c20c65ffd1f745be678977f83131c2ee19f69e250e3fa21cef2", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 174, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b4a014a3d98099104d7f7534f72de5186826a80c4a17df84c03e0170d267b519", + "generated_tokens": 398, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 2862, + 62, + 1956, + 62, + 12140, + 63, + 1157, + 11, + 395, + 933, + 276, + 1181, + 1069, + 5610, + 25, + 185, + 185, + 16, + 13, + 30482, + 245, + 30206, + 1157, + 276, + 11462, + 254, + 2555, + 280, + 33325, + 280, + 245, + 2028, + 1604, + 13, + 185, + 17, + 13, + 31794, + 254, + 1525, + 280, + 5750, + 1244, + 245, + 2385, + 2131, + 344, + 27170, + 254, + 2555, + 280, + 33325, + 285, + 254, + 3632, + 3762, + 13, + 185, + 18, + 13, + 37006, + 344, + 565, + 984, + 5750, + 463, + 254, + 1246, + 2555, + 280, + 33325, + 11, + 254, + 634, + 366, + 254, + 3927, + 3762, + 3450, + 1022, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1835, + 62, + 1956, + 62, + 12140, + 7, + 6485, + 82, + 1780, + 185, + 300, + 977, + 2555, + 62, + 994, + 62, + 86309, + 7, + 77, + 1780, + 185, + 391, + 972, + 2555, + 7, + 572, + 7, + 41557, + 8, + 327, + 20319, + 279, + 1406, + 7, + 77, + 1509, + 185, + 185, + 300, + 1501, + 50586, + 254, + 2555, + 280, + 33325, + 327, + 1319, + 1604, + 285, + 4743, + 359, + 2726, + 366, + 254, + 3632, + 3762, + 185, + 300, + 3487, + 403, + 40050, + 6485, + 11, + 2555, + 62, + 994, + 62, + 86309, + 7, + 6485, + 1509, + 327, + 1183, + 279, + 50441, + 7, + 6485, + 82, + 6635, + 185, + 251, + 185, + 300, + 1501, + 31794, + 254, + 1525, + 2853, + 331, + 254, + 2555, + 280, + 33325, + 285, + 254, + 3632, + 3762, + 185, + 300, + 3487, + 13, + 14318, + 7, + 2458, + 28, + 2229, + 1376, + 25, + 334, + 87, + 58, + 16, + 2717, + 1376, + 58, + 15, + 26034, + 185, + 251, + 185, + 300, + 1501, + 40760, + 254, + 24350, + 5750, + 285, + 704, + 19551, + 185, + 300, + 24350, + 62, + 6485, + 82, + 403, + 825, + 6485, + 327, + 1183, + 11, + 1072, + 279, + 3487, + 60, + 185, + 251, + 185, + 300, + 972, + 24350, + 62, + 6485, + 82, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 2862, + 62, + 1956, + 62, + 12140, + 9244, + 16, + 11, + 207, + 16, + 16, + 11, + 570, + 16, + 11, + 570, + 16, + 16, + 11, + 570, + 16, + 17, + 26034, + 207, + 1501, + 59545, + 2827, + 25, + 25567, + 16, + 11, + 570, + 16, + 16, + 11, + 207, + 16, + 11, + 570, + 16, + 17, + 11, + 207, + 16, + 16, + 60, + 185, + 4134, + 7, + 2862, + 62, + 1956, + 62, + 12140, + 44785, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 9636, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 61927, + 254, + 2555, + 280, + 33325, + 327, + 1319, + 1604, + 279, + 254, + 3632, + 1525, + 285, + 10910, + 768, + 279, + 245, + 1525, + 280, + 55951, + 11, + 1066, + 1319, + 30373, + 5410, + 254, + 1604, + 285, + 895, + 2555, + 280, + 33325, + 13, + 429, + 1525, + 317, + 937, + 24350, + 1244, + 245, + 2385, + 2131, + 344, + 17314, + 457, + 254, + 2555, + 280, + 33325, + 1022, + 285, + 937, + 457, + 254, + 3632, + 3762, + 13, + 12226, + 11, + 254, + 24350, + 5750, + 418, + 19515, + 285, + 5651, + 13, + 100001 + ], + "generated_token_ids_sha256": "2906305486ea23fc293247b1656a630364b9676e2c4dfea33b336272c9dca25f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `order_by_points` function, we need to follow these steps:\n\n1. Define a helper function to calculate the sum of digits of a given number.\n2. Sort the list of numbers using a custom key that combines the sum of digits and the original index.\n3. Ensure that if two numbers have the same sum of digits, the one with the lower index comes first.\n\nHere's the implementation:\n\n```python\ndef order_by_points(nums):\n def sum_of_digits(n):\n return sum(int(digit) for digit in str(n))\n\n # Calculate the sum of digits for each number and store it along with the original index\n points = [(num, sum_of_digits(num)) for num in enumerate(nums)]\n \n # Sort the list based on the sum of digits and the original index\n points.sort(key=lambda x: (x[1], x[0]))\n \n # Extract the sorted numbers and their indices\n sorted_nums = [num for num, _ in points]\n \n return sorted_nums\n\n# Test cases\nprint(order_by_points([1, 11, -1, -11, -12])) # Expected output: [-1, -11, 1, -12, 11]\nprint(order_by_points([])) # Expected output: []\n```\n\nThis function first calculates the sum of digits for each number in the original list and stores them in a list of tuples, where each tuple contains the number and its sum of digits. The list is then sorted using a custom key that sorts by the sum of digits first and then by the original index. 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If two numbers have the same sum of digits, we need to prioritize their original order in the list. Here's how you can do it:\n\n1. Define a helper function to calculate the sum of digits of a given number.\n2. Sort the list using a custom key that combines the sum of digits and the original index.\n3. Ensure that if two numbers have the same sum of digits, the original order in the list is preserved.\n\nHere's the implementation of the function:\n\n```python\ndef order_by_points(nums):\n def sum_of_digits(n):\n return sum(int(digit) for digit in str(abs(n)))\n \n # Sort the list using a custom key that considers the sum of digits and the original index\n return sorted(nums, key=lambda x: (sum_of_digits(x), nums.index(x)))\n\n# Example usage:\nprint(order_by_points([1, 11, -1, -11, -12])) # Output: [-1, -11, 1, -12, 11]\nprint(order_by_points([])) # Output: []\n```\n\nThis function first calculates the sum of digits for each number using the `sum_of_digits` helper function. 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The `max` function returns the largest item in an iterable or the largest of two or more arguments.", + "text_sha256": "b970276953423d74f31f954b15c596b1cb7285053180c777067f09dc3720bc7b", + "uniform_steps_consumed": 165, + "uniform_uint64_prefix_sha256": "6c9dcff9bbbbe9c7ee32e1143474a9317010d46b73fad4470dcd00559d1c361e", + "uniform_uint64_first_eight_hex": [ + "bc78e60cb29f7f99", + "7f33f4bb316a0c0a", + "e615b77e708b4857", + "56cedf666eb455cf", + "9af6bf5358e19d13", + "90068879e10770a6", + "134a36694815099c", + "23def0bb930c0434" + ], + "task_score": { + "candidate_sha256": "0a4e9d243342be6386d6e342cdb208ad5435625c052a73620a8025cdf81570df", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 130, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "059f027f79daa0a69a34572e5d476d93344c6b1b225ee7a4db1611b32719ad23", + "generated_tokens": 222, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 3978, + 62, + 7633, + 63, + 1157, + 11, + 340, + 481, + 938, + 254, + 4930, + 12, + 246, + 2030, + 3978, + 63, + 1157, + 279, + 12974, + 11, + 588, + 7578, + 254, + 8397, + 2861, + 279, + 274, + 84936, + 410, + 254, + 8397, + 280, + 984, + 410, + 691, + 9103, + 13, + 4462, + 6, + 82, + 946, + 340, + 481, + 5933, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 3044, + 62, + 7633, + 7, + 75, + 25, + 1525, + 1780, + 185, + 300, + 8066, + 8925, + 6059, + 3699, + 279, + 254, + 1525, + 13, + 185, + 300, + 8066, + 185, + 300, + 972, + 3044, + 7, + 75, + 8, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 6059, + 3699, + 279, + 254, + 1525, + 2030, + 75, + 13557, + 1273, + 254, + 1525, + 317, + 7137, + 11, + 359, + 543, + 8476, + 245, + 2030, + 84579, + 13557, + 1273, + 340, + 1121, + 276, + 6428, + 437, + 1460, + 691, + 61439, + 11, + 340, + 481, + 962, + 245, + 2341, + 430, + 254, + 6278, + 280, + 254, + 1157, + 276, + 972, + 2030, + 11137, + 63, + 565, + 254, + 1525, + 317, + 7137, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 3044, + 62, + 7633, + 7, + 75, + 25, + 1525, + 1780, + 185, + 300, + 8066, + 8925, + 6059, + 3699, + 279, + 254, + 1525, + 13, + 185, + 300, + 8066, + 185, + 300, + 565, + 441, + 284, + 25, + 185, + 391, + 972, + 7741, + 185, + 300, + 972, + 3044, + 7, + 75, + 8, + 185, + 10897, + 185, + 185, + 1567, + 2627, + 280, + 254, + 1157, + 543, + 972, + 2030, + 11137, + 63, + 565, + 254, + 1525, + 317, + 7137, + 11, + 588, + 317, + 245, + 3064, + 1143, + 276, + 6428, + 437, + 5437, + 13, + 100001 + ], + "generated_token_ids_sha256": "d5698b92bf4f15f2a285afdc0d7f80062ef1320bd7c9a9dc7cbfa38de2af023a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `max_element` function, you can use the built-in `max` function in Python, which returns the largest item in an iterable or the largest of two or more arguments. Here's how you can define the function:\n\n```python\ndef max_element(l: list):\n \"\"\"Return maximum element in the list.\n \"\"\"\n return max(l)\n```\n\nThis function will return the maximum element in the list `l`. If the list is empty, it will raise a `ValueError`. If you want to handle this case more gracefully, you can add a check at the beginning of the function to return `None` if the list is empty:\n\n```python\ndef max_element(l: list):\n \"\"\"Return maximum element in the list.\n \"\"\"\n if not l:\n return None\n return max(l)\n```\n\nThis version of the function will return `None` if the list is empty, which is a common way to handle this situation.", + "text_sha256": "8e039be626d118efda81c9645ea329ea75d6ecfb9c9cc1c1e400ce76aa7b2fd8", + "uniform_steps_consumed": 222, + "uniform_uint64_prefix_sha256": "8c52280c6a4ef3ecf0128f362471ca8b036b8e1eb8cb61f6c4ab55ccc0af662e", + "uniform_uint64_first_eight_hex": [ + "bc78e60cb29f7f99", + "7f33f4bb316a0c0a", + "e615b77e708b4857", + "56cedf666eb455cf", + "9af6bf5358e19d13", + "90068879e10770a6", + "134a36694815099c", + "23def0bb930c0434" + ], + "task_score": { + "candidate_sha256": "cbd8e3d7901d3f2b50c1ad67f84e88572bee4fc786b96d37e2b7aef7533863b5", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 114, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "245c90fd66580cacd04ddd43e795e6fef55aabfe04b960ed84df2bb67ecff730", + "generated_tokens": 174, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 340, + 481, + 938, + 254, + 4930, + 12, + 246, + 2030, + 3978, + 46120, + 1157, + 279, + 12974, + 11, + 588, + 7578, + 254, + 8397, + 2861, + 279, + 274, + 84936, + 410, + 254, + 8397, + 280, + 984, + 410, + 691, + 9103, + 13, + 4462, + 317, + 946, + 340, + 481, + 4353, + 254, + 2030, + 3978, + 62, + 7633, + 46120, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 3044, + 62, + 7633, + 7, + 75, + 25, + 1525, + 1780, + 185, + 300, + 8066, + 8925, + 6059, + 3699, + 279, + 254, + 1525, + 13, + 185, + 300, + 24922, + 3044, + 62, + 7633, + 9244, + 16, + 11, + 207, + 17, + 11, + 207, + 18, + 5855, + 185, + 251, + 18, + 185, + 300, + 24922, + 3044, + 62, + 7633, + 9244, + 20, + 11, + 207, + 18, + 11, + 570, + 20, + 11, + 207, + 17, + 11, + 570, + 18, + 11, + 207, + 18, + 11, + 207, + 24, + 11, + 207, + 15, + 11, + 207, + 16, + 17, + 18, + 11, + 207, + 16, + 11, + 570, + 16, + 15, + 5855, + 185, + 251, + 16, + 17, + 18, + 185, + 300, + 8066, + 185, + 300, + 972, + 3044, + 7, + 75, + 8, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 830, + 327, + 688, + 1525, + 2030, + 75, + 63, + 285, + 543, + 972, + 254, + 6059, + 3699, + 279, + 254, + 1525, + 13, + 100001 + ], + "generated_token_ids_sha256": "d2d65b7ad848159782e8d0be52a554f5207f2a224b94cac92a7d97a23cdac794", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, you can use the built-in `max()` function in Python, which returns the largest item in an iterable or the largest of two or more arguments. Here is how you can implement the `max_element()` function:\n\n```python\ndef max_element(l: list):\n \"\"\"Return maximum element in the list.\n >>> max_element([1, 2, 3])\n 3\n >>> max_element([5, 3, -5, 2, -3, 3, 9, 0, 123, 1, -10])\n 123\n \"\"\"\n return max(l)\n```\n\nThis function will work for any list `l` and will return the maximum element in the list.", + "text_sha256": "2ebc4d1dcdc3f6413351f32e5a87a2cec459ba62f5b0a4dbc45552eed2a588b8", + "uniform_steps_consumed": 174, + "uniform_uint64_prefix_sha256": "0047b12ce104a6fd8ee4b2dd13544b955e4274ac960c4a6afbea915bc65f762e", + "uniform_uint64_first_eight_hex": [ + "bc78e60cb29f7f99", + "7f33f4bb316a0c0a", + "e615b77e708b4857", + "56cedf666eb455cf", + "9af6bf5358e19d13", + "90068879e10770a6", + "134a36694815099c", + "23def0bb930c0434" + ], + "task_score": { + "candidate_sha256": "0a4e9d243342be6386d6e342cdb208ad5435625c052a73620a8025cdf81570df", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + 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"stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to follow these steps:\n\n1. Check if `n` is greater than `m`. If so, return -1.\n2. Calculate the sum of the integers from `n` through `m`.\n3. Calculate the average by dividing the sum by the number of integers (m - n + 1).\n4. Round the average to the nearest integer.\n5. Convert the rounded average to a binary string.\n\nHere's the Python code to implement the above logic:\n\n```python\ndef rounded_avg(n, m):\n if n > m:\n return -1\n \n # Calculate the sum of the integers from n through m\n total_sum = sum(range(n, m + 1))\n \n # Calculate the average\n avg = total_sum / (m - n + 1)\n \n # Round the average to the nearest integer\n rounded_avg = round(avg)\n \n # Convert the rounded average to a binary string\n binary_avg = bin(rounded_avg)[2:] # [2:] to remove the '0b' prefix\n \n return binary_avg\n\n# Example usage:\nprint(rounded_avg(1, 5)) # Output: \"0b11\"\nprint(rounded_avg(7, 5)) # Output: -1\nprint(rounded_avg(10, 20)) # Output: \"0b1111\"\nprint(rounded_avg(20, 33)) # Output: \"0b11010\"\n```\n\nThis code defines the `rounded_avg` function, which takes two integers `n` and `m`, performs the required calculations, and returns the binary representation of the rounded average or -1 if `n` is greater than `m`.", + "text_sha256": "5cd7e5b6fa8fb5b112d5623df8e6ae143750faddc233a944c76579f14460bb7d", + "uniform_steps_consumed": 416, + "uniform_uint64_prefix_sha256": "e9724ea035e03ee3b4f3e108934106703844618a49a3fd5c020245b57e854eba", + "uniform_uint64_first_eight_hex": [ + "ff0f10b4e0a96ba6", + "ab75cac23f1411a6", + "f78faa6a5c4a6845", + "444dc6027284fd95", + "2721932e5e06beab", + "13955a9912b4cc7f", + "b4eb16313ee33e3f", + "4540d7febf2575ee" + ], + "task_score": { + "candidate_sha256": "d90793faa6270637eb0cfa0c4b6fa4019c1288e427cb8cd6fda35e83354b8de9", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 200, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "bf9573e454722dad989e5c3f5655383de83f379a9edf667223c0619dab5f08bb", + "generated_tokens": 179, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 27840, + 62, + 36744, + 7, + 77, + 11, + 273, + 1780, + 185, + 300, + 565, + 291, + 1879, + 273, + 25, + 185, + 391, + 972, + 570, + 16, + 185, + 300, + 56086, + 403, + 4078, + 6034, + 77, + 919, + 273, + 8, + 893, + 207, + 17, + 8, + 185, + 300, + 972, + 11289, + 7, + 36744, + 16046, + 17, + 39010, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 565, + 2030, + 77, + 63, + 317, + 6146, + 853, + 2030, + 76, + 13557, + 1273, + 359, + 317, + 11, + 254, + 1157, + 7578, + 2030, + 12, + 16, + 13557, + 1273, + 2030, + 77, + 63, + 317, + 441, + 6146, + 853, + 2030, + 76, + 12181, + 254, + 1157, + 61927, + 254, + 5137, + 280, + 2030, + 77, + 63, + 285, + 2030, + 76, + 63, + 285, + 24816, + 359, + 276, + 254, + 17016, + 10858, + 13, + 429, + 1230, + 317, + 937, + 17045, + 276, + 245, + 10038, + 2662, + 285, + 5651, + 13, + 185, + 185, + 549, + 2030, + 4166, + 63, + 1157, + 279, + 12974, + 7578, + 245, + 10038, + 2662, + 81459, + 366, + 2030, + 6, + 15, + 65, + 6, + 13557, + 429, + 2030, + 58, + 17, + 39010, + 63, + 20891, + 6225, + 317, + 1222, + 276, + 4760, + 254, + 1022, + 984, + 7445, + 280, + 254, + 2662, + 11, + 588, + 418, + 655, + 15, + 65, + 6767, + 100001 + ], + "generated_token_ids_sha256": "134c7f287a3be373e5de48b499f19d5e1d1da790899f035bfe54aa749534093d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef rounded_avg(n, m):\n if n > m:\n return -1\n avg = round((n + m) / 2)\n return bin(avg)[2:]\n```\n\nThis function first checks if `n` is greater than `m`. If it is, the function returns `-1`. If `n` is not greater than `m`, the function calculates the average of `n` and `m` and rounds it to the nearest integer. The result is then converted to a binary string and returned.\n\nThe `bin` function in Python returns a binary string prefixed with `'0b'`. The `[2:]` slice operation is used to remove the first two characters of the string, which are '0b'.", + "text_sha256": "2967fbb1d6753315a978188e9ac891e8f08f56b71eae6f60913069264d3fef1a", + "uniform_steps_consumed": 179, + "uniform_uint64_prefix_sha256": "400a1754400bfa19d6c92320a1e1f5254c842f6c8161c0c139031c180adf95e3", + "uniform_uint64_first_eight_hex": [ + "ff0f10b4e0a96ba6", + "ab75cac23f1411a6", + "f78faa6a5c4a6845", + "444dc6027284fd95", + "2721932e5e06beab", + "13955a9912b4cc7f", + "b4eb16313ee33e3f", + "4540d7febf2575ee" + ], + "task_score": { + "candidate_sha256": "6ffcda2873a215e040b6448e27ec105d1c1894f8250b7ef1a1e978e9842fa28e", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 184, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7f5fa5cf5c0410473177935c384790c86952bcee4e674933e41b78518f0b4442", + "generated_tokens": 281, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 27840, + 62, + 36744, + 7, + 77, + 11, + 273, + 1780, + 185, + 300, + 565, + 291, + 1879, + 273, + 25, + 185, + 391, + 972, + 570, + 16, + 185, + 300, + 56086, + 403, + 4078, + 6034, + 77, + 919, + 273, + 8, + 893, + 207, + 17, + 8, + 185, + 300, + 972, + 11289, + 7, + 36744, + 16046, + 17, + 39010, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 565, + 2030, + 77, + 63, + 317, + 6146, + 853, + 2030, + 76, + 13557, + 1273, + 359, + 317, + 11, + 359, + 7578, + 570, + 16, + 13, + 19051, + 11, + 359, + 61927, + 254, + 5137, + 280, + 2030, + 77, + 63, + 285, + 2030, + 76, + 63, + 457, + 7227, + 768, + 285, + 937, + 57495, + 276, + 254, + 17016, + 10858, + 13, + 12226, + 11, + 359, + 37926, + 437, + 1604, + 276, + 245, + 10038, + 2662, + 285, + 7578, + 359, + 13, + 185, + 185, + 549, + 2030, + 4166, + 46120, + 1157, + 279, + 12974, + 7578, + 245, + 10038, + 2662, + 81459, + 366, + 440, + 15, + 65, + 2859, + 2158, + 4760, + 437, + 15799, + 11, + 395, + 938, + 85361, + 2030, + 58, + 17, + 39010, + 13557, + 185, + 185, + 4160, + 6, + 82, + 1727, + 254, + 1157, + 366, + 254, + 4286, + 6987, + 25, + 185, + 185, + 10897, + 11338, + 185, + 4134, + 7, + 33035, + 62, + 36744, + 7, + 16, + 11, + 207, + 20, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 15, + 65, + 16, + 16, + 1, + 185, + 4134, + 7, + 33035, + 62, + 36744, + 7, + 22, + 11, + 207, + 20, + 1509, + 207, + 1501, + 20154, + 25, + 570, + 16, + 185, + 4134, + 7, + 33035, + 62, + 36744, + 7, + 16, + 15, + 11, + 207, + 17, + 15, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 15, + 65, + 16, + 16, + 16, + 16, + 1, + 185, + 4134, + 7, + 33035, + 62, + 36744, + 7, + 17, + 15, + 11, + 207, + 18, + 18, + 1509, + 207, + 1501, + 20154, + 25, + 440, + 15, + 65, + 16, + 16, + 15, + 16, + 15, + 1, + 185, + 10897, + 185, + 185, + 2124, + 4061, + 11, + 254, + 1157, + 7578, + 254, + 2918, + 2472, + 13, + 100001 + ], + "generated_token_ids_sha256": "b0315b03c0b97e7fe5bfc70ba56d0a4c75ac20c434b36b1f5c1bd9fe6b542be8", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef rounded_avg(n, m):\n if n > m:\n return -1\n avg = round((n + m) / 2)\n return bin(avg)[2:]\n```\n\nThis function first checks if `n` is greater than `m`. If it is, it returns -1. Otherwise, it calculates the average of `n` and `m` by adding them and then rounding to the nearest integer. Finally, it converts this number to a binary string and returns it.\n\nThe `bin()` function in Python returns a binary string prefixed with \"0b\". To remove this prefix, we use slicing `[2:]`.\n\nLet's test the function with the provided examples:\n\n```python\nprint(rounded_avg(1, 5)) # Output: \"0b11\"\nprint(rounded_avg(7, 5)) # Output: -1\nprint(rounded_avg(10, 20)) # Output: \"0b1111\"\nprint(rounded_avg(20, 33)) # Output: \"0b11010\"\n```\n\nAs expected, the function returns the correct results.", + "text_sha256": "87d0f2a205286e9b01619d1271cf79b1b09ae4c5d7442f043f8e67bc2908f089", + "uniform_steps_consumed": 281, + "uniform_uint64_prefix_sha256": "3123cd2b6c0142382e9ad96451a8afb7820e448ff378417f18d3d042bfd1e99a", + "uniform_uint64_first_eight_hex": [ + "ff0f10b4e0a96ba6", + "ab75cac23f1411a6", + "f78faa6a5c4a6845", + "444dc6027284fd95", + "2721932e5e06beab", + "13955a9912b4cc7f", + "b4eb16313ee33e3f", + "4540d7febf2575ee" + ], + "task_score": { + "candidate_sha256": "6ffcda2873a215e040b6448e27ec105d1c1894f8250b7ef1a1e978e9842fa28e", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + 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+ 418, + 17798, + 276, + 330, + 1503, + 13, + 100001 + ], + "generated_token_ids_sha256": "7dfc3c99b18d4c5f9e273389d36565340e2f6d6105560c55c74d85069b96ef5a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `factorize` function, we need to follow these steps:\n\n1. Initialize an empty list to store the prime factors.\n2. Start with the smallest prime factor, which is 2.\n3. While `n` is divisible by the current smallest prime factor, divide `n` by the factor and append it to the list.\n4. If the result of the division is not an integer, move to the next prime factor (which is 3).\n5. Repeat steps 3 and 4 until `n` is 1.\n6. Return the list of prime factors.\n\nHere's the implementation of the `factorize` function:\n\n```python\nfrom typing import List\n\ndef factorize(n: int) -> List[int]:\n factors = []\n while n % 2 == 0:\n factors.append(2)\n n //= 2\n f = 3\n while f * f <= n:\n while n % f == 0:\n factors.append(f)\n n //= f\n f += 2\n if n > 1:\n factors.append(n)\n return factors\n\n# Test cases\nprint(factorize(8)) # [2, 2, 2]\nprint(factorize(25)) # [5, 5]\nprint(factorize(70)) # [2, 5, 7]\n```\n\nThis code defines the `factorize` function and tests it with the provided examples. It uses a simple approach to factorize the number, starting with 2 and then checking odd numbers up to the square root of `n` if `n` is divisible by the current number. 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Check if the input number `n` is less than 2, in which case it has no prime factors. If `n` is 1, it is considered to have no prime factors.\n2. Initialize an empty list to store the prime factors.\n3. Loop through possible prime factors starting from 2.\n4. While `n` is divisible by the current prime factor, divide `n` by the prime factor and append it to the list of factors.\n5. If the reduced `n` is still greater than 1, continue to the next prime factor.\n6. If `n` becomes 1, the loop ends, and all prime factors have been found.\n7. Return the list of prime factors.\n\nHere's the implementation of the `factorize` function:\n\n```python\nfrom typing import List\n\ndef factorize(n: int) -> List[int]:\n if n < 2:\n return []\n \n factors = []\n while n % 2 == 0:\n factors.append(2)\n n //= 2\n while n > 1:\n for i in range(3, int(n**0.5) + 1, 2):\n while n % i == 0:\n factors.append(i)\n n //= i\n if n > 1:\n for i in range(3, n + 1, 2):\n if n % i == 0:\n factors.append(i)\n n //= i\n break\n return factors\n\n# Test cases\nprint(factorize(8)) # [2, 2, 2]\nprint(factorize(25)) # [5, 5]\nprint(factorize(70)) # [2, 5, 7]\n```\n\nThis function will return the list of prime factors of the given integer `n` in the order from smallest to largest, as described in the docstring.", + "text_sha256": "5ee373af6c4d652e86d1bb387b627dbf33dd6c1675cd38dd7e679b3b59e2aa4f", + "uniform_steps_consumed": 465, + "uniform_uint64_prefix_sha256": "7c938af71bd57ff58c190e911e76d89c27f524ab12245e02790e8fff53ff684e", + 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we need to follow these steps:\n\n1. Initialize an empty list to store the prime factors.\n2. Start from the smallest prime number, 2, and check if it divides the given number `n`.\n3. If it does, add it to the list of factors and reduce `n` by `n // factor`.\n4. Repeat step 2 until `n` is no longer divisible by the current factor.\n5. Move to the next prime number and repeat steps 2-4 until `n` is 1.\n6. Return the list of prime factors.\n\nHere's the implementation of the `factorize` function:\n\n```python\nfrom typing import List\n\ndef is_prime(num: int) -> bool:\n \"\"\"Check if a number is prime.\"\"\"\n if num <= 1:\n return False\n for i in range(2, int(num**0.5) + 1):\n if num % i == 0:\n return False\n return True\n\ndef factorize(n: int) -> List[int]:\n factors = []\n for i in range(2, n + 1):\n while n % i == 0:\n factors.append(i)\n n //= i\n if is_prime(i):\n break\n return factors\n\n# Test cases\nprint(factorize(8)) # [2, 2, 2]\nprint(factorize(25)) # [5, 5]\nprint(factorize(70)) # [2, 5, 7]\n```\n\nThis code defines a helper function `is_prime` to check if a number is prime and then uses it within the `factorize` function to find the prime factors of a given number. The test cases at the end demonstrate the function with the expected results.", + "text_sha256": "58405b6b20bfdf57089056865dc9f2d8ee360609989a0d00c279399d4b18ba27", + "uniform_steps_consumed": 425, + "uniform_uint64_prefix_sha256": "ef1ecc96501edf3da0d69bc3b39f7767dc6575da0a733454e940bfc9f30b1947", + "uniform_uint64_first_eight_hex": [ + "311e9b73501e4528", + "008a096409dbb784", + "c56d511b081cf179", + "0ee5a0d6c4b49287", + "a82d619f652ddc0a", + "d6e2e30352db8823", + "78db051575db474b", + "910e379eddaf743b" + ], + "task_score": { + "candidate_sha256": "f54a34983f4c5ec89dff18f59a686aeec3bf10fc900a959d01cf605c0eab1fc6", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 174, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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"finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 47.66364210497704, + "peak_cuda_memory_allocated_bytes": 28750950912, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 101, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "d566740280f47e3522734ac49ad6fdedbaa3d038d4dd3057a783546a2f008536", + "generated_tokens": 254, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 4251, + 62, + 22352, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1690, + 62, + 22352, + 7, + 82, + 1780, + 185, + 300, + 1501, + 30482, + 254, + 60098, + 73629, + 185, + 300, + 60098, + 62, + 85, + 322, + 1291, + 403, + 655, + 19702, + 6860, + 52, + 6, + 185, + 300, + 1501, + 35914, + 254, + 1690, + 276, + 207, + 15, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 2662, + 11, + 49214, + 1236, + 19551, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 15, + 11, + 10389, + 7, + 82, + 654, + 207, + 17, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 430, + 254, + 1236, + 3762, + 317, + 274, + 60098, + 42083, + 185, + 391, + 565, + 252, + 58, + 72, + 60, + 279, + 60098, + 62, + 85, + 322, + 1291, + 25, + 185, + 595, + 1501, + 26848, + 469, + 254, + 1690, + 565, + 359, + 317, + 185, + 595, + 1690, + 7324, + 207, + 16, + 185, + 300, + 1501, + 7898, + 254, + 1690, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 64, + 7459, + 87740, + 69, + 14201, + 207, + 1501, + 20154, + 25, + 207, + 16, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 95812, + 70, + 14201, + 207, + 1501, + 20154, + 25, + 207, + 15, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 28962, + 11279, + 14201, + 300, + 1501, + 20154, + 25, + 207, + 15, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 855, + 254, + 2662, + 430, + 5610, + 280, + 207, + 17, + 334, + 3262, + 12777, + 276, + 254, + 1236, + 19551, + 654, + 13575, + 1319, + 3199, + 276, + 1019, + 565, + 359, + 317, + 274, + 60098, + 42083, + 13, + 1273, + 359, + 317, + 11, + 359, + 60290, + 254, + 1690, + 13, + 12226, + 11, + 359, + 7578, + 254, + 1690, + 13, + 100001 + ], + "generated_token_ids_sha256": "09f519a955e2ea97da73b6e59343830a07736f596aba1814b3eb32d34f17572d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the `count_upper` function:\n\n```python\ndef count_upper(s):\n # Define the uppercase vowels\n uppercase_vowels = 'AEIOU'\n # Initialize the count to 0\n count = 0\n # Iterate over the string, skipping even indices\n for i in range(0, len(s), 2):\n # Check if the character at the even index is an uppercase vowel\n if s[i] in uppercase_vowels:\n # Increment the count if it is\n count += 1\n # Return the count\n return count\n\n# Test cases\nprint(count_upper('aBCdEf')) # Output: 1\nprint(count_upper('abcdefg')) # Output: 0\nprint(count_upper('dBBE')) # Output: 0\n```\n\nThis function works by iterating over the string at steps of 2 (which corresponds to the even indices), checking each character to see if it is an uppercase vowel. If it is, it increments the count. Finally, it returns the count.", + "text_sha256": "a4ead9e0be375f29332ba5da99374a90ced9f7074fc15a78482f4820cba787ee", + "uniform_steps_consumed": 254, + "uniform_uint64_prefix_sha256": "954fbffeb89f0465d4b1fa3c9c6469fac6db251c9d97aa04bbd43d9aa1d86ab0", + "uniform_uint64_first_eight_hex": [ + "1380dfefcfe4300e", + "154a9e8f99a71c5b", + "71ef8ec2d6536cbc", + "defbb04e12aa75f7", + "2cdb09c5db436e43", + "280c142b8dd17b49", + "aec5c5fad6823d2f", + "185ef51d8dafbbfb" + ], + "task_score": { + "candidate_sha256": "3ebb06a241e211b274cf25b5e37fc8d8231bdfdf8f9938c3a7fda60bcd0e4c8e", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 117, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "3100c37eb2b4bdf85bc52fad4c3a7fe37bb5311c04662d554e0265e057179d3f", + "generated_tokens": 239, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 4251, + 62, + 22352, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1690, + 62, + 22352, + 7, + 82, + 1780, + 185, + 300, + 1501, + 30482, + 254, + 60098, + 73629, + 185, + 300, + 60098, + 62, + 85, + 322, + 1291, + 403, + 655, + 19702, + 6860, + 52, + 6, + 185, + 300, + 1501, + 35914, + 245, + 7114, + 327, + 60098, + 73629, + 430, + 1236, + 19551, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 2662, + 11, + 49214, + 1236, + 19551, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 16, + 11, + 10389, + 7, + 82, + 654, + 207, + 17, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 430, + 254, + 1236, + 3762, + 317, + 274, + 60098, + 42083, + 185, + 391, + 565, + 252, + 58, + 72, + 60, + 279, + 60098, + 62, + 85, + 322, + 1291, + 25, + 185, + 595, + 1690, + 7324, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 64, + 7459, + 87740, + 69, + 14201, + 207, + 1501, + 20154, + 25, + 207, + 16, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 95812, + 70, + 14201, + 207, + 1501, + 20154, + 25, + 207, + 15, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 28962, + 11279, + 14201, + 300, + 1501, + 20154, + 25, + 207, + 15, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 91281, + 855, + 254, + 2662, + 11, + 49214, + 1131, + 1864, + 3199, + 334, + 8589, + 19551, + 654, + 285, + 14180, + 565, + 254, + 3199, + 430, + 344, + 3299, + 317, + 274, + 60098, + 42083, + 13, + 1273, + 359, + 317, + 11, + 359, + 60290, + 254, + 7114, + 13, + 429, + 2328, + 1690, + 317, + 5651, + 13, + 100001 + ], + "generated_token_ids_sha256": "165669786bde221bef2b94994aa037048239d2f042eccaa2a02503b5795dbcfd", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the `count_upper` function:\n\n```python\ndef count_upper(s):\n # Define the uppercase vowels\n uppercase_vowels = 'AEIOU'\n # Initialize a counter for uppercase vowels at even indices\n count = 0\n \n # Iterate over the string, skipping even indices\n for i in range(1, len(s), 2):\n # Check if the character at the even index is an uppercase vowel\n if s[i] in uppercase_vowels:\n count += 1\n \n return count\n\n# Example usage:\nprint(count_upper('aBCdEf')) # Output: 1\nprint(count_upper('abcdefg')) # Output: 0\nprint(count_upper('dBBE')) # Output: 0\n```\n\nThis function iterates over the string, skipping every second character (even indices), and checks if the character at that position is an uppercase vowel. If it is, it increments the counter. The final count is returned.", + "text_sha256": "50cabbafafe6f57c18fd7f7453c7e9c7c05dcd12684af9581d868e694f32e41c", + "uniform_steps_consumed": 239, + "uniform_uint64_prefix_sha256": "01338296e672215adc85b537475ed7d079388d079a28eef234f978477e1b0e46", + "uniform_uint64_first_eight_hex": [ + "1380dfefcfe4300e", + "154a9e8f99a71c5b", + "71ef8ec2d6536cbc", + "defbb04e12aa75f7", + "2cdb09c5db436e43", + "280c142b8dd17b49", + "aec5c5fad6823d2f", + "185ef51d8dafbbfb" + ], + "task_score": { + "candidate_sha256": "50c9a7c3532503fed359c9e758fe30b37aaeb9e386a0c6e32270a25154b6ed38", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 101, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "938273c38163315f1bb3320504d22f60ba2ff54184e9a071d55b82262e884778", + "generated_tokens": 260, + "generated_token_ids": [ + 4462, + 6, + 82, + 245, + 12974, + 1157, + 344, + 16839, + 254, + 10881, + 276, + 1690, + 60098, + 73629, + 430, + 1236, + 19551, + 279, + 245, + 2662, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1690, + 62, + 22352, + 7, + 82, + 1780, + 185, + 300, + 1501, + 30482, + 254, + 60098, + 73629, + 185, + 300, + 60098, + 62, + 85, + 322, + 1291, + 403, + 655, + 19702, + 6860, + 52, + 6, + 185, + 251, + 185, + 300, + 1501, + 35914, + 245, + 7114, + 327, + 60098, + 73629, + 430, + 1236, + 19551, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 2662, + 11, + 13575, + 889, + 254, + 7445, + 430, + 1236, + 19551, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 15, + 11, + 10389, + 7, + 82, + 654, + 207, + 17, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 430, + 254, + 1648, + 1236, + 3762, + 317, + 274, + 60098, + 42083, + 185, + 391, + 565, + 252, + 58, + 72, + 60, + 279, + 60098, + 62, + 85, + 322, + 1291, + 25, + 185, + 595, + 1690, + 7324, + 207, + 16, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 64, + 7459, + 87740, + 69, + 14201, + 207, + 1501, + 12816, + 972, + 207, + 16, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 95812, + 70, + 14201, + 207, + 1501, + 12816, + 972, + 207, + 15, + 185, + 4134, + 7, + 4251, + 62, + 22352, + 1504, + 28962, + 11279, + 14201, + 251, + 1501, + 12816, + 972, + 207, + 15, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 855, + 254, + 2662, + 430, + 5610, + 280, + 207, + 17, + 334, + 3262, + 12777, + 276, + 1236, + 19551, + 654, + 13575, + 1319, + 3199, + 276, + 1019, + 565, + 359, + 317, + 274, + 60098, + 42083, + 13, + 1273, + 359, + 317, + 11, + 254, + 1690, + 317, + 18765, + 271, + 13, + 429, + 1157, + 937, + 7578, + 254, + 2328, + 1690, + 13, + 100001 + ], + "generated_token_ids_sha256": "20e180c35f11519023314f1c5852031ac903664aa817db1bea4d4572d31ec8f7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's a Python function that implements the logic to count uppercase vowels at even indices in a string:\n\n```python\ndef count_upper(s):\n # Define the uppercase vowels\n uppercase_vowels = 'AEIOU'\n \n # Initialize a counter for uppercase vowels at even indices\n count = 0\n \n # Iterate over the string, checking only the characters at even indices\n for i in range(0, len(s), 2):\n # Check if the character at the current even index is an uppercase vowel\n if s[i] in uppercase_vowels:\n count += 1\n \n return count\n\n# Test cases\nprint(count_upper('aBCdEf')) # Should return 1\nprint(count_upper('abcdefg')) # Should return 0\nprint(count_upper('dBBE')) # Should return 0\n```\n\nThis function works by iterating over the string at steps of 2 (which corresponds to even indices), checking each character to see if it is an uppercase vowel. If it is, the count is incremented. The function then returns the final count.", + "text_sha256": "17906e890235636918b00e1205607b0f2311bba4c7347dfd6232a49de200329d", + "uniform_steps_consumed": 260, + "uniform_uint64_prefix_sha256": "48f9298466cc4af03070593506a1d9f7a841d28045525e574c5e98d32f069bea", + "uniform_uint64_first_eight_hex": [ + "1380dfefcfe4300e", + "154a9e8f99a71c5b", + "71ef8ec2d6536cbc", + "defbb04e12aa75f7", + "2cdb09c5db436e43", + "280c142b8dd17b49", + "aec5c5fad6823d2f", + "185ef51d8dafbbfb" + ], + "task_score": { + "candidate_sha256": "f9f8a986c565f8e8c69a792269c42a7890cbcc668406432049c6aae885d91b44", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 117, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "087d2a64f5fd8f767c0502d2d1d5f0ed9716a63cfdaae7be67ba9907572ed30b", + "generated_tokens": 67, + "generated_token_ids": [ + 977, + 1690, + 62, + 22352, + 7, + 82, + 1780, + 185, + 300, + 6909, + 62, + 85, + 322, + 1291, + 403, + 655, + 19702, + 6860, + 52, + 6, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 15, + 11, + 10389, + 7, + 82, + 654, + 207, + 17, + 1780, + 185, + 391, + 565, + 252, + 58, + 72, + 60, + 279, + 6909, + 62, + 85, + 322, + 1291, + 25, + 185, + 595, + 1690, + 7324, + 207, + 16, + 185, + 300, + 972, + 1690, + 100001 + ], + "generated_token_ids_sha256": "87962fdd3a88f2399e63fe425589e271272a8382ae0b382135e4d03277d24ac2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def count_upper(s):\n upper_vowels = 'AEIOU'\n count = 0\n for i in range(0, len(s), 2):\n if s[i] in upper_vowels:\n count += 1\n return count", + "text_sha256": "92efb350f74ffec943aa79427d65b83115ce525a1b54b6b4d072edd96e683f18", + "uniform_steps_consumed": 67, + "uniform_uint64_prefix_sha256": 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problem of emptying wells in a grid using buckets with a given capacity, we can use a breadth-first search (BFS) approach. The BFS algorithm allows us to explore all reachable states of the grid by visiting each cell level by level, starting from the initial state.\n\nHere's a step-by-step approach to implement the `max_fill` function:\n\n1. **Initialization**:\n - Create a queue to store the positions of the wells that still need to be emptied.\n - Initialize a counter for the number of times the bucket needs to be lowered.\n - Initialize a visited set to keep track of which wells have been emptied.\n\n2. **BFS Traversal**:\n - While the queue is not empty:\n - Pop a well position from the queue.\n - Check all possible positions in the well that can be emptied by the bucket (i.e., positions where the grid value is 1).\n - If a position can be emptied, mark it as visited and add it to the queue.\n - Increment the counter for the number of times the bucket needs to be lowered.\n\n3. **Output**:\n - Return the counter after all wells have been emptied.\n\nHere's the Python code implementing the above approach:\n\n```python\nfrom collections import deque\n\ndef max_fill(grid, bucket_capacity):\n rows, cols = len(grid), len(grid[0])\n bucket_count = 0\n \n # Helper function to check if a position is within bounds and has water\n def is_valid(x, y):\n return 0 <= x < rows and 0 <= y < cols\n \n # BFS traversal\n queue = deque()\n for i in range(rows):\n for j in range(cols):\n if grid[i][j] == 1:\n queue.append((i, j))\n visited = set()\n bucket_count += 1\n while queue:\n x, y = queue.popleft()\n # Check all possible positions to empty the bucket\n for dx, dy in [(-1, 0), (1, 0), (0, -1), (0, 1)]:\n nx, ny = x + dx", + "text_sha256": "ada34d6015eddc5d0ff38381cfc354012bb7fc675b80acd60c413080cf8738db", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "dcea11872d6e135545f81e9974934689f766db8f67b7b8394d913e3cc5f4217d", + "uniform_uint64_first_eight_hex": [ + "eb41a45c6d336cec", + "199a19592bfeab82", + "aaeed615c541b701", + "52a6b123a8fbfc06", + "e3f76959a29c44b7", + 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The key observation is that we can only extract water from the wells that have at least one unit of water.\n\nHere's the approach to solve the problem:\n\n1. Iterate through each row in the grid.\n2. For each row, iterate through each column.\n3. If the current cell has a value of 1, it means there is water in that well.\n4. Calculate the number of times we need to lower the bucket to extract all the water from the well. This is the ceiling of the number of units of water divided by the bucket capacity.\n5. Sum up all the numbers obtained from step 4.\n6. Return the sum as the number of times we need to lower the buckets.\n\nNow, let's implement the code for the function `max_fill`:\n\n```python\ndef max_fill(grid, capacity):\n import math\n\n # Initialize the number of times to lower the bucket\n times = 0\n\n # Iterate through each row in the grid\n for row in grid:\n # Iterate through each column in the row\n for cell in row:\n # If there is water in the well, calculate the number of times to lower the bucket\n if cell == 1:\n times += math.ceil(cell / capacity)\n\n # Return the number of times to lower the bucket\n return times\n\n# Example 1\ngrid = [[0,0,1,0], [0,1,0,0], [1,1,1,1]]\ncapacity = 1\nprint(max_fill(grid, capacity)) # Output: 6\n\n# Example 2\ngrid = [[0,0,1,1], [0,0,0,0], [1,1,1,1], [0,1,1,1]]\ncapacity = 2\nprint(max_fill(grid, capacity)) # Output: 5\n\n# Example 3\ngrid = [[0,0,0], [0,0,0]]\ncapacity = 5\nprint(max_fill(grid, capacity)) # Output: 0\n```\n\nThis code defines the function `max_", + "text_sha256": "1974d62bec97afc46cbff103fbb6356b3f151d66871c751017c0cb0cb090c27c", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "dcea11872d6e135545f81e9974934689f766db8f67b7b8394d913e3cc5f4217d", + "uniform_uint64_first_eight_hex": [ + "eb41a45c6d336cec", + "199a19592bfeab82", + "aaeed615c541b701", + "52a6b123a8fbfc06", + "e3f76959a29c44b7", + "7072efed2dd0101f", + "69c013d82d548226", + "77277991881f20ec" + ], + "task_score": { + "candidate_sha256": "400d64fedcd8f72185c81eda964630680955785b007be8ecbfba1b3388c099b9", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 377, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "213ecc22d308711a8f858eb070250edd045a30e1cb0a1811dd3479017237cb39", + "generated_tokens": 243, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 3044, + 62, + 6633, + 7, + 13081, + 11, + 8424, + 1780, + 185, + 300, + 1666, + 16145, + 185, + 300, + 1501, + 50586, + 254, + 3223, + 1604, + 280, + 8650, + 280, + 2354, + 279, + 254, + 45176, + 185, + 300, + 3223, + 62, + 8948, + 403, + 2555, + 7, + 730, + 13, + 4251, + 7, + 16, + 8, + 327, + 5451, + 279, + 11152, + 8, + 185, + 300, + 1501, + 50586, + 254, + 1604, + 280, + 2602, + 395, + 933, + 276, + 3927, + 254, + 53883, + 276, + 7137, + 254, + 45176, + 185, + 300, + 2602, + 403, + 16145, + 13, + 26158, + 7, + 11666, + 62, + 8948, + 893, + 8424, + 8, + 185, + 300, + 972, + 2602, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 1022, + 29112, + 254, + 3223, + 3744, + 280, + 2354, + 279, + 254, + 45176, + 457, + 61463, + 254, + 1604, + 280, + 207, + 16, + 6, + 82, + 279, + 1319, + 5451, + 13, + 2928, + 11, + 359, + 61927, + 254, + 1604, + 280, + 2602, + 395, + 933, + 276, + 3927, + 254, + 53883, + 457, + 38176, + 254, + 3223, + 3744, + 280, + 2354, + 457, + 254, + 23677, + 8424, + 285, + 57495, + 581, + 276, + 254, + 17016, + 3000, + 1604, + 1244, + 254, + 2030, + 664, + 13, + 26158, + 46120, + 1157, + 13, + 185, + 185, + 6017, + 344, + 437, + 3418, + 25107, + 344, + 254, + 23677, + 481, + 330, + 31679, + 881, + 688, + 697, + 280, + 254, + 1136, + 11, + 441, + 953, + 254, + 1869, + 13, + 1273, + 254, + 23677, + 481, + 889, + 330, + 31679, + 276, + 254, + 1869, + 280, + 254, + 1136, + 11, + 937, + 254, + 3418, + 744, + 330, + 691, + 4301, + 11, + 372, + 395, + 744, + 933, + 276, + 6983, + 254, + 10883, + 1835, + 276, + 3927, + 254, + 53883, + 276, + 21654, + 254, + 3223, + 1604, + 280, + 2602, + 395, + 933, + 276, + 3927, + 768, + 13, + 100001 + ], + "generated_token_ids_sha256": "13109dcb583bf47902baee3fc604a2cad612890a7e950c41469d4867eb317faf", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef max_fill(grid, capacity):\n import math\n # Calculate the total number of units of water in the wells\n total_water = sum(row.count(1) for row in grid)\n # Calculate the number of times we need to lower the buckets to empty the wells\n times = math.ceil(total_water / capacity)\n return times\n```\n\nThis function works by first calculating the total amount of water in the wells by summing the number of 1's in each row. Then, it calculates the number of times we need to lower the buckets by dividing the total amount of water by the bucket capacity and rounding up to the nearest whole number using the `math.ceil()` function.\n\nNote that this solution assumes that the bucket can be lowered into any part of the well, not just the top. If the bucket can only be lowered to the top of the well, then the solution would be more complex, as we would need to determine the optimal order to lower the buckets to minimize the total number of times we need to lower them.", + "text_sha256": "afff7ad30476ffc4cdb4db3f1bcb16678971c10db6301519fb8647bf185d4d8d", + "uniform_steps_consumed": 243, + "uniform_uint64_prefix_sha256": "8c1346f49adb02f3ffc687b8805ae43aab340f56083418492328d71a2820bec9", + "uniform_uint64_first_eight_hex": [ + "eb41a45c6d336cec", + "199a19592bfeab82", + "aaeed615c541b701", + "52a6b123a8fbfc06", + "e3f76959a29c44b7", + "7072efed2dd0101f", + "69c013d82d548226", + "77277991881f20ec" + ], + "task_score": { + "candidate_sha256": "642dad906ab235acbd7503d57d4e905d781db9cc3eedaa737f15031dacfc0e82", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 393, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "5d8c1bf1a400d6b0f8ba1f0a186195108cf1b31b87ca23553d41267a2ef32648", + "generated_tokens": 456, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 11462, + 254, + 1604, + 280, + 2602, + 395, + 933, + 276, + 3927, + 254, + 53883, + 276, + 7137, + 521, + 45176, + 13, + 429, + 1604, + 280, + 2602, + 395, + 933, + 276, + 3927, + 254, + 23677, + 317, + 5929, + 276, + 254, + 3223, + 3744, + 280, + 2354, + 279, + 254, + 45176, + 13429, + 457, + 254, + 23677, + 8424, + 13, + 1003, + 481, + 536, + 437, + 457, + 7502, + 1130, + 1184, + 1319, + 5451, + 279, + 254, + 11152, + 11, + 61463, + 254, + 1604, + 280, + 207, + 16, + 82, + 279, + 1319, + 5451, + 11, + 285, + 937, + 38176, + 457, + 254, + 23677, + 8424, + 13, + 1273, + 254, + 1230, + 317, + 274, + 10858, + 11, + 395, + 962, + 207, + 16, + 276, + 254, + 1690, + 1373, + 395, + 933, + 276, + 3927, + 254, + 23677, + 344, + 1313, + 2602, + 13, + 185, + 185, + 4898, + 317, + 254, + 12974, + 1157, + 276, + 4353, + 437, + 10881, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 3044, + 62, + 6633, + 7, + 13081, + 11, + 23677, + 62, + 41692, + 1780, + 185, + 300, + 1501, + 35914, + 254, + 1690, + 280, + 2602, + 276, + 3927, + 254, + 23677, + 185, + 300, + 1690, + 403, + 207, + 15, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 1184, + 1319, + 5451, + 279, + 254, + 11152, + 185, + 300, + 327, + 5451, + 279, + 11152, + 25, + 185, + 391, + 1501, + 9142, + 254, + 1604, + 280, + 207, + 16, + 82, + 279, + 254, + 5451, + 185, + 391, + 3223, + 62, + 8948, + 403, + 2555, + 7, + 730, + 8, + 185, + 299, + 185, + 391, + 1501, + 50586, + 254, + 1604, + 280, + 2602, + 276, + 3927, + 254, + 23677, + 327, + 437, + 5451, + 185, + 391, + 2602, + 62, + 580, + 62, + 13295, + 403, + 3223, + 62, + 8948, + 1071, + 23677, + 62, + 41692, + 185, + 299, + 185, + 391, + 1501, + 4294, + 254, + 1604, + 280, + 2602, + 276, + 254, + 1690, + 185, + 391, + 1690, + 7324, + 2602, + 62, + 580, + 62, + 13295, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 13081, + 403, + 16483, + 15, + 11, + 15, + 11, + 16, + 11, + 15, + 2717, + 825, + 15, + 11, + 16, + 11, + 15, + 11, + 15, + 2717, + 825, + 16, + 11, + 16, + 11, + 16, + 11, + 16, + 13818, + 185, + 36035, + 62, + 41692, + 403, + 207, + 16, + 185, + 4134, + 7, + 3978, + 62, + 6633, + 7, + 13081, + 11, + 23677, + 62, + 41692, + 1509, + 207, + 1501, + 20154, + 25, + 207, + 21, + 185, + 185, + 13081, + 403, + 16483, + 15, + 11, + 15, + 11, + 16, + 11, + 16, + 2717, + 825, + 15, + 11, + 15, + 11, + 15, + 11, + 15, + 2717, + 825, + 16, + 11, + 16, + 11, + 16, + 11, + 16, + 2717, + 825, + 15, + 11, + 16, + 11, + 16, + 11, + 16, + 13818, + 185, + 36035, + 62, + 41692, + 403, + 207, + 17, + 185, + 4134, + 7, + 3978, + 62, + 6633, + 7, + 13081, + 11, + 23677, + 62, + 41692, + 1509, + 207, + 1501, + 20154, + 25, + 207, + 20, + 185, + 185, + 13081, + 403, + 16483, + 15, + 11, + 15, + 11, + 15, + 2717, + 825, + 15, + 11, + 15, + 11, + 15, + 13818, + 185, + 36035, + 62, + 41692, + 403, + 207, + 20, + 185, + 4134, + 7, + 3978, + 62, + 6633, + 7, + 13081, + 11, + 23677, + 62, + 41692, + 1509, + 207, + 1501, + 20154, + 25, + 207, + 15, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 254, + 2918, + 1604, + 280, + 2602, + 276, + 3927, + 254, + 23677, + 276, + 7137, + 521, + 45176, + 279, + 254, + 11152, + 13, + 100001 + ], + "generated_token_ids_sha256": "f0851a0343942fb216491e9030034ffcac3725687f87e47bc4405bec3489aa60", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to calculate the number of times we need to lower the buckets to empty all wells. The number of times we need to lower the bucket is equal to the total amount of water in the wells divided by the bucket capacity. We can do this by iterating through each row in the grid, summing the number of 1s in each row, and then dividing by the bucket capacity. If the result is an integer, we add 1 to the count because we need to lower the bucket that many times.\n\nHere is the Python function to implement this logic:\n\n```python\ndef max_fill(grid, bucket_capacity):\n # Initialize the count of times to lower the bucket\n count = 0\n \n # Iterate through each row in the grid\n for row in grid:\n # Sum the number of 1s in the row\n total_water = sum(row)\n \n # Calculate the number of times to lower the bucket for this row\n times_to_lower = total_water // bucket_capacity\n \n # Add the number of times to the count\n count += times_to_lower\n \n return count\n\n# Example usage:\ngrid = [[0,0,1,0], [0,1,0,0], [1,1,1,1]]\nbucket_capacity = 1\nprint(max_fill(grid, bucket_capacity)) # Output: 6\n\ngrid = [[0,0,1,1], [0,0,0,0], [1,1,1,1], [0,1,1,1]]\nbucket_capacity = 2\nprint(max_fill(grid, bucket_capacity)) # Output: 5\n\ngrid = [[0,0,0], [0,0,0]]\nbucket_capacity = 5\nprint(max_fill(grid, bucket_capacity)) # Output: 0\n```\n\nThis function will 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the `make_palindrome` function:\n\n```python\ndef make_palindrome(string: str) -> str:\n def is_palindrome(s: str) -> bool:\n return s == s[::-1]\n\n prefix = ''\n while is_palindrome(prefix):\n prefix += string\n return string + prefix[::-1]\n\n# Test cases\nprint(make_palindrome('')) # Output: ''\nprint(make_palindrome('cat')) # Output: 'catac'\nprint(make_palindrome('cata')) # Output: 'catac'\n```\n\nThis function works by finding the longest suffix of the input string that is a palindrome and then appending the reverse of the prefix to the end of the string. The prefix is extended as long as the resulting string is a palindrome.", + "text_sha256": "d2055bbc67978c94c710b0714a8448c8c3a39e440149c663351d75b8fc3ebb45", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "f05fdfa70da84977003be6a27dd19ff0f5f31ccff32c5d8071ed36484e3f0b33", + "uniform_uint64_first_eight_hex": [ + "fc99eed27b160632", + "fe007fc2a3cb25c3", + "fbdbffb74d9c0d1f", + "6b7f378fd12e024a", + "2e28cba5b3156220", + "ea9ccd302da2fc6b", + "b9882b5d57748ca7", + "0927287b550178a3" + ], + "task_score": { + "candidate_sha256": "91ee8a0e9ea542a974e4e9ae46d68a087c510bf7e6fb7e18a2ea6b834f89daea", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 213, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "80c810e58f93fc03ad408ab4de28d9358f86fc769695ae463a745bdcbf54b75f", + "generated_tokens": 213, + "generated_token_ids": [ + 4462, + 317, + 254, + 9674, + 280, + 254, + 2030, + 7690, + 62, + 16435, + 515, + 7288, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1099, + 62, + 16435, + 515, + 7288, + 7, + 2612, + 25, + 1406, + 8, + 5052, + 1406, + 25, + 185, + 300, + 977, + 317, + 62, + 16435, + 515, + 7288, + 7, + 82, + 25, + 1406, + 8, + 5052, + 6920, + 25, + 185, + 391, + 972, + 252, + 2318, + 252, + 58, + 73879, + 16, + 60, + 185, + 185, + 300, + 15799, + 403, + 15351, + 185, + 300, + 1477, + 317, + 62, + 16435, + 515, + 7288, + 7, + 18338, + 1780, + 185, + 391, + 15799, + 7324, + 2662, + 185, + 300, + 972, + 2662, + 919, + 15799, + 58, + 73879, + 16, + 60, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 7690, + 62, + 16435, + 515, + 7288, + 1504, + 14201, + 299, + 1501, + 20154, + 25, + 15351, + 185, + 4134, + 7, + 7690, + 62, + 16435, + 515, + 7288, + 1504, + 7097, + 14201, + 663, + 1501, + 20154, + 25, + 655, + 7097, + 306, + 6, + 185, + 4134, + 7, + 7690, + 62, + 16435, + 515, + 7288, + 1504, + 66, + 751, + 14201, + 251, + 1501, + 20154, + 25, + 655, + 7097, + 306, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7526, + 254, + 27719, + 30019, + 280, + 254, + 2782, + 2662, + 344, + 317, + 245, + 5609, + 515, + 7288, + 285, + 937, + 13471, + 272, + 254, + 13294, + 280, + 254, + 15799, + 276, + 254, + 1225, + 280, + 254, + 2662, + 13, + 429, + 2030, + 262, + 62, + 16435, + 515, + 7288, + 63, + 30206, + 1157, + 317, + 1222, + 276, + 2341, + 565, + 245, + 2662, + 317, + 245, + 5609, + 515, + 7288, + 13, + 100001 + ], + "generated_token_ids_sha256": "8cbfee1a865207220796e9f5fc1c9cc2488abb602db9ca22daae4530e5c80d25", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is the implementation of the `make_palindrome` function:\n\n```python\ndef make_palindrome(string: str) -> str:\n def is_palindrome(s: str) -> bool:\n return s == s[::-1]\n\n prefix = ''\n while is_palindrome(prefix):\n prefix += string\n return string + prefix[::-1]\n\n# Test cases\nprint(make_palindrome('')) # Output: ''\nprint(make_palindrome('cat')) # Output: 'catac'\nprint(make_palindrome('cata')) # Output: 'catac'\n```\n\nThis function works by finding the longest suffix of the input string that is a palindrome and then appending the reverse of the prefix to the end of the string. The `is_palindrome` helper function is used to check if a string is a palindrome.", + "text_sha256": "adf30c07b7b417f5f848dbb9ac139400f80e57733ec42de8c22d17a7ed57754b", + "uniform_steps_consumed": 213, + "uniform_uint64_prefix_sha256": "868c1c0b3e0526755bd1868f3d85d446efbdd1302877b0d1f89cc69669e540a6", + "uniform_uint64_first_eight_hex": [ + "fc99eed27b160632", + "fe007fc2a3cb25c3", + "fbdbffb74d9c0d1f", + "6b7f378fd12e024a", + "2e28cba5b3156220", + "ea9ccd302da2fc6b", + "b9882b5d57748ca7", + "0927287b550178a3" + ], + "task_score": { + "candidate_sha256": "b8057fd431076690c254732fd7956994f17e443ff33a159581ba29dbaf82bf57", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 197, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "adf64a1920bc39cad3bacbced068251b9bce28bfae498e509a412a10b76c86d0", + "generated_tokens": 208, + "generated_token_ids": [ + 4462, + 317, + 254, + 9674, + 280, + 254, + 2030, + 7690, + 62, + 16435, + 515, + 7288, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1099, + 62, + 16435, + 515, + 7288, + 7, + 2612, + 25, + 1406, + 8, + 5052, + 1406, + 25, + 185, + 300, + 977, + 317, + 62, + 16435, + 515, + 7288, + 7, + 82, + 25, + 1406, + 8, + 5052, + 6920, + 25, + 185, + 391, + 972, + 252, + 2318, + 252, + 58, + 73879, + 16, + 60, + 185, + 185, + 300, + 15799, + 403, + 2662, + 185, + 300, + 1477, + 317, + 62, + 16435, + 515, + 7288, + 7, + 18338, + 1780, + 185, + 391, + 15799, + 403, + 15799, + 16998, + 12, + 16, + 60, + 185, + 300, + 72085, + 403, + 2662, + 58, + 6449, + 7, + 18338, + 1780, + 60, + 185, + 300, + 972, + 2662, + 919, + 72085, + 58, + 73879, + 16, + 60, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 7690, + 62, + 16435, + 515, + 7288, + 1504, + 14201, + 207, + 1501, + 15351, + 185, + 4134, + 7, + 7690, + 62, + 16435, + 515, + 7288, + 1504, + 7097, + 14201, + 207, + 1501, + 655, + 7097, + 306, + 6, + 185, + 4134, + 7, + 7690, + 62, + 16435, + 515, + 7288, + 1504, + 66, + 751, + 14201, + 207, + 1501, + 655, + 7097, + 306, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 71782, + 13919, + 7445, + 473, + 254, + 6278, + 280, + 254, + 2662, + 2645, + 245, + 2170, + 12, + 16435, + 515, + 421, + 278, + 15799, + 317, + 1503, + 13, + 809, + 937, + 13471, + 82, + 254, + 34335, + 72085, + 276, + 254, + 3632, + 2662, + 276, + 2606, + 254, + 5609, + 515, + 7288, + 13, + 100001 + ], + "generated_token_ids_sha256": "90b86136469902c9ac300b03472c1c472637d0f2f83a2fed36b019c51def3583", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is the implementation of the `make_palindrome` function:\n\n```python\ndef make_palindrome(string: str) -> str:\n def is_palindrome(s: str) -> bool:\n return s == s[::-1]\n\n prefix = string\n while is_palindrome(prefix):\n prefix = prefix[:-1]\n postfix = string[len(prefix):]\n return string + postfix[::-1]\n\n# Test cases\nprint(make_palindrome('')) # ''\nprint(make_palindrome('cat')) # 'catac'\nprint(make_palindrome('cata')) # 'catac'\n```\n\nThis function works by iteratively removing characters from the beginning of the string until a non-palindromic prefix is found. It then appends the reversed postfix to the original string to create the palindrome.", + "text_sha256": "28ff7c537ce82be673f1122b8c548e035f5af2b77ef0f7bf256e9035dddf9bc4", + "uniform_steps_consumed": 208, + "uniform_uint64_prefix_sha256": "9a2247ff09492bf70d4298e8f90568d32802c1214b95151c3cea2171e6d05a79", + "uniform_uint64_first_eight_hex": [ + "fc99eed27b160632", + "fe007fc2a3cb25c3", + "fbdbffb74d9c0d1f", + "6b7f378fd12e024a", + "2e28cba5b3156220", + "ea9ccd302da2fc6b", + "b9882b5d57748ca7", + "0927287b550178a3" + ], + "task_score": { + "candidate_sha256": "b987b0957e6962091e64f8f4a9a80ad682102a0436b80861e79f6d4b5c463629", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 213, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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is_palindrome(s: str) -> bool:\n return s == s[::-1]\n\n for i in range(len(string)):\n if is_palindrome(string[i:]):\n return string + string[:i][::-1]\n\n return string + string[:0][::-1]", + "text_sha256": "665276b074e5297e2890ab36ce0143522be01568cd1e1978246b5527c94ddad8", + "uniform_steps_consumed": 92, + "uniform_uint64_prefix_sha256": "32b079e4f71b28e5252e60ef1d3069eb06691be7909ead84be65f4ec96dc01a4", + "uniform_uint64_first_eight_hex": [ + "fc99eed27b160632", + "fe007fc2a3cb25c3", + "fbdbffb74d9c0d1f", + "6b7f378fd12e024a", + "2e28cba5b3156220", + "ea9ccd302da2fc6b", + "b9882b5d57748ca7", + "0927287b550178a3" + ], + "task_score": { + "candidate_sha256": "0ab08b76da65cd6b97d46a523a93c26971a922c37700461d97cba915b48e66c7", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "HumanEval/141", + "domain": "code", + "label": "Python code", + "within_domain_index": 24, + "selection_rank": 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17341, + 13, + 100001 + ], + "generated_token_ids_sha256": "68de6956bb451d11bc0c4264d50e7650b5407ba150dfa4eb412041c76c40e126", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `file_name_check` function, we need to validate the file name according to the specified rules. Here's how you can do it:\n\n1. Check if there are more than three digits in the file name.\n2. Check if there is exactly one dot '.' in the file name.\n3. Check if the substring before the dot starts with a letter from the Latin alphabet and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions: 'txt', 'exe', or 'dll'.\n\nHere's the implementation of the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check for more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check for exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Split the file name by dots\n parts = file_name.split('.')\n \n # Check for the first part starting with a letter and not being empty\n if not re.match(r'^[A-Za-z][A-Za-z0-9]*$', parts[0]) or not parts[0]:\n return 'No'\n \n # Check for the second part being one of the allowed extensions\n if parts[1] not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, return 'Yes'\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to perform the checks. The `re.search` method is used to find any occurrence of four or more digits, and `re.match` is used to ensure that the first part of the filename starts with a letter and is not empty. The `count` method is used to check for exactly one dot, and the `in` keyword is used to verify that the second part of the filename is one of the allowed extensions.", + "text_sha256": "a14f772e5b2c7e2ecb54251503886bef617bb0ac415a63bf07a06e882ba7aa57", + "uniform_steps_consumed": 496, + "uniform_uint64_prefix_sha256": "a47cc33469183eabca131795498e94366af992340fca52396c2ac39b8e4836ec", + "uniform_uint64_first_eight_hex": [ + "b4a2cca90dd5e118", + "7cca1884225ce678", + "3d10c4c3ab1095ef", + "b00f28214e278347", + "e36a5d973d849fde", + "a427df5b2d660437", + "70719e8a724e0107", + "1df6721d134b941c" + ], + "task_score": { + "candidate_sha256": "d91380db0cffce0d5a8640f08fe244e6d716321050bdeeff3c4796d0089c2e38", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 276, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "947e4149013f250c97d299628a11541d04caf5c0c4868a2ccbc352887099fbf3", + "generated_tokens": 290, + "generated_token_ids": [ + 4462, + 6, + 82, + 245, + 12974, + 1157, + 344, + 14180, + 565, + 245, + 1761, + 1210, + 18880, + 254, + 7116, + 15075, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 1761, + 62, + 1531, + 62, + 4897, + 7, + 2810, + 62, + 1531, + 1780, + 185, + 300, + 1501, + 7361, + 327, + 691, + 853, + 1853, + 33325, + 185, + 300, + 565, + 298, + 13, + 2919, + 7, + 81, + 12850, + 67, + 90, + 19, + 40366, + 1185, + 1761, + 62, + 1531, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 327, + 5096, + 634, + 14090, + 185, + 300, + 565, + 1761, + 62, + 1531, + 13, + 4251, + 23242, + 2519, + 3485, + 207, + 16, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 327, + 245, + 4640, + 15799, + 285, + 30019, + 185, + 300, + 4373, + 403, + 1761, + 62, + 1531, + 13, + 7807, + 23242, + 2519, + 185, + 300, + 15799, + 403, + 4373, + 58, + 15, + 60, + 185, + 300, + 30019, + 403, + 4373, + 58, + 16, + 60, + 185, + 251, + 185, + 300, + 565, + 441, + 298, + 13, + 10107, + 7, + 81, + 44716, + 58, + 32, + 12, + 75110, + 12, + 89, + 6873, + 32, + 12, + 75110, + 12, + 89, + 15, + 12, + 24, + 37888, + 3, + 1185, + 15799, + 8, + 410, + 30019, + 441, + 279, + 12262, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 70854, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 972, + 655, + 5661, + 6, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 8500, + 13, + 9307, + 11993, + 207, + 1501, + 1997, + 655, + 5661, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 16, + 8500, + 13, + 35205, + 11993, + 1501, + 1997, + 655, + 3233, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 4252, + 14479, + 276, + 2341, + 327, + 254, + 6943, + 280, + 691, + 853, + 1853, + 33325, + 11, + 5096, + 634, + 14090, + 11, + 285, + 245, + 4640, + 15799, + 285, + 30019, + 13, + 809, + 7578, + 655, + 5661, + 6, + 565, + 521, + 4480, + 418, + 2011, + 11, + 285, + 655, + 3233, + 6, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "3511784c602312c9b9647212215ddad3e3c48fd5ce148f1fb8d954d9c223db1a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's a Python function that checks if a file name meets the specified criteria:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check for more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check for exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Check for a valid prefix and suffix\n parts = file_name.split('.')\n prefix = parts[0]\n suffix = parts[1]\n \n if not re.match(r'^[A-Za-z][A-Za-z0-9]*$', prefix) or suffix not in ['txt', 'exe', 'dll']:\n return 'No'\n \n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to check for the presence of more than three digits, exactly one dot, and a valid prefix and suffix. It returns 'Yes' if all conditions are met, and 'No' otherwise.", + "text_sha256": "40f76b4531381765affc2b5d394819dda953c0d2b353f574bf074447b5c31f44", + "uniform_steps_consumed": 290, + "uniform_uint64_prefix_sha256": "071d1fee48ac3aba4d32d9ba5e3f8ad665b64045754f3292ae6a4967def616ef", + "uniform_uint64_first_eight_hex": [ + "b4a2cca90dd5e118", + "7cca1884225ce678", + "3d10c4c3ab1095ef", + "b00f28214e278347", + "e36a5d973d849fde", + "a427df5b2d660437", + "70719e8a724e0107", + "1df6721d134b941c" + ], + "task_score": { + "candidate_sha256": "04cca4587be94e7697f384d5eb51ef903740735f46a42bd35ff17cf2e24c7690", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 260, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "2830ac9c67193f2c21e9d70a731b4e4b2893ed4fb67bb4090ffb2214cc1941b0", + "generated_tokens": 411, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 2810, + 62, + 1531, + 62, + 4897, + 63, + 1157, + 11, + 395, + 933, + 276, + 21240, + 254, + 1761, + 1210, + 4299, + 276, + 254, + 7116, + 6543, + 13, + 4462, + 6, + 82, + 254, + 3956, + 25, + 185, + 185, + 16, + 13, + 7361, + 565, + 254, + 1761, + 1210, + 5410, + 691, + 853, + 1853, + 33325, + 13, + 185, + 17, + 13, + 7361, + 565, + 254, + 1761, + 1210, + 5410, + 5096, + 634, + 14090, + 13, + 185, + 18, + 13, + 7361, + 565, + 254, + 72402, + 1323, + 254, + 14090, + 8501, + 366, + 245, + 5371, + 285, + 317, + 441, + 7137, + 13, + 185, + 19, + 13, + 7361, + 565, + 254, + 72402, + 1166, + 254, + 14090, + 317, + 634, + 280, + 254, + 5987, + 17341, + 10321, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 7189, + 185, + 185, + 4160, + 6, + 82, + 4353, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 1761, + 62, + 1531, + 62, + 4897, + 7, + 2810, + 62, + 1531, + 1780, + 185, + 300, + 1501, + 7361, + 565, + 254, + 1761, + 1210, + 5410, + 691, + 853, + 1853, + 33325, + 185, + 300, + 565, + 298, + 13, + 2919, + 7, + 81, + 12850, + 67, + 90, + 19, + 40366, + 1185, + 1761, + 62, + 1531, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 1761, + 1210, + 5410, + 5096, + 634, + 14090, + 185, + 300, + 565, + 63465, + 441, + 279, + 1761, + 62, + 1531, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 40410, + 254, + 1761, + 1210, + 457, + 254, + 14090, + 185, + 300, + 4373, + 403, + 1761, + 62, + 1531, + 13, + 7807, + 23242, + 2519, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 1761, + 1210, + 8501, + 366, + 245, + 5371, + 285, + 317, + 441, + 7137, + 185, + 300, + 565, + 441, + 4373, + 58, + 15, + 2986, + 76582, + 7, + 35293, + 7, + 24, + 22, + 1509, + 410, + 441, + 4373, + 58, + 15, + 5864, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 72402, + 1166, + 254, + 14090, + 317, + 634, + 280, + 254, + 5987, + 17341, + 185, + 300, + 565, + 4373, + 58, + 16, + 2986, + 13295, + 826, + 441, + 279, + 12262, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 70854, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 1273, + 521, + 14180, + 1452, + 11, + 254, + 1761, + 1210, + 317, + 4640, + 185, + 300, + 972, + 655, + 5661, + 6, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 8500, + 13, + 9307, + 11993, + 207, + 1501, + 1997, + 655, + 5661, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 16, + 8500, + 13, + 35205, + 11993, + 1501, + 1997, + 655, + 3233, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 4252, + 14479, + 276, + 2341, + 254, + 4480, + 285, + 7578, + 655, + 5661, + 6, + 565, + 254, + 1761, + 1210, + 317, + 4640, + 4299, + 276, + 254, + 6543, + 11, + 285, + 655, + 3233, + 6, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "d8c4fa6913a36fbeab8e9a6d1015e2d3904ff2dc8571e9e245e631d0b73c36e1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `file_name_check` function, we need to validate the file name according to the specified rules. Here's the approach:\n\n1. Check if the file name contains more than three digits.\n2. Check if the file name contains exactly one dot.\n3. Check if the substring before the dot starts with a letter and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions ('txt', 'exe', 'dll').\n\nLet's implement the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if the file name contains more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if the file name contains exactly one dot\n if '.' not in file_name:\n return 'No'\n \n # Split the file name by the dot\n parts = file_name.split('.')\n \n # Check if the file name starts with a letter and is not empty\n if not parts[0].startswith(chr(97)) or not parts[0]:\n return 'No'\n \n # Check if the substring after the dot is one of the allowed extensions\n if parts[1].lower() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to check the conditions 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"stopped_at_max_new_tokens": false, + "text": " def file_name_check(file_name):\n import re\n \n # Check if there are more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if there is exactly one dot\n if re.search(r'\\.+', file_name):\n return 'No'\n \n # Check if the substring before the dot starts with a letter\n if not re.search(r'^[a-zA-Z]', file_name):\n return 'No'\n \n # Check if the substring after the dot is one of the specified extensions\n if file_name.split('.')[-1] not in ['txt', 'exe', 'dll']:\n return 'No'\n \n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No' (the name should start with a latin alphapet letter)", + "text_sha256": "c71101d9078d96b955aa3589fa454ff7395ce90ee5000237ec8d57ae788e7d5b", + "uniform_steps_consumed": 240, + "uniform_uint64_prefix_sha256": "d85f1c9daa7cb35da7413112ebb4dde8853fd0e8bda0bacc1f387c536010dcf0", + 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Here's how you can do it:\n\n1. Check if the file name contains more than three digits.\n2. Check if the file name contains exactly one dot.\n3. Check if the substring before the dot starts with a letter and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions: 'txt', 'exe', or 'dll'.\n\nHere's the implementation of the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check for more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check for exactly one dot\n if '.' not in file_name:\n return 'No'\n \n # Split the file name by dots\n parts = file_name.split('.')\n \n # Check for the first part starting with a letter and not being empty\n if not parts[0].strip() or not parts[0].strip()[0].isalpha():\n return 'No'\n \n # Check for the second part being one of the allowed extensions\n if parts[1] not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\nprint(file_name_check(\"another.dll\")) # => 'Yes'\n```\n\nThis function uses regular expressions to 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"8754e5dcf70a76d2e14e9951ed351c502c6a4e0ef42d16cd281faf84438c16dc", + "hit_eos": false, + "stopped_at_max_new_tokens": true, + "text": " To implement the `file_name_check` function, we need to validate the file name according to the specified rules. Here's how you can do it in Python:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if the file name is empty or None\n if not file_name:\n return 'No'\n \n # Check if the file name contains more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if the file name has more than one dot\n if re.search(r'\\.+', file_name):\n return 'No'\n \n # Split the file name into parts before and after the dot\n parts = file_name.split('.')\n \n # Check if the first part starts with a letter and is not empty\n if not parts[0].strip('.').lower().startswith(chr(97)):\n return 'No'\n \n # Check if the second part is in the list ['txt', 'exe', 'dll']\n if parts[1].strip().lower() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, return 'Yes'\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # Should return 'Yes'\nprint(file_name_check(\"1example.dll\")) # Should return 'No'\n```\n\n### Explanation:\n1. **Check for Empty or None**: The function first checks if the file name is empty or `None`. If so, it returns 'No'.\n2. **Check for Excessive Digits**: It then checks if the file name contains more than three consecutive digits using a regular expression `\\d{4,}`. If found, it returns 'No'.\n3. **Check for Multiple Dots**: The function checks for more than one dot in the file name using `\\.+`, which matches any character (except newline) between one or more dots. If found, it returns 'No'.\n4. **Split the File Name**: The file name is split into two parts before and after the dot.\n5. **Check First Part**: The first part is", + "text_sha256": "072c981bb6c8ca414021fdf61d21c2f3554f7d5470a1753094a9114b3b058a17", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "1b07ed99f9600216a7eabd4bcb3baf342305dd737d10835502d8e320cdf36d66", + "uniform_uint64_first_eight_hex": [ + "05492825c13c30af", + "05cbffd43d849c11", + "48e169777c03f13f", + "fd2b1775721394d7", + "ea1812cfcb2bad4a", + "b12f2500361d487d", + "9f54843416638940", + "4a5736d1d61178e6" + ], + "task_score": { + "candidate_sha256": "ecdebae2931e0e31ace2536612315d1d1f8424d91eb64fbc7f30fb652133bcbd", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 260, + "left_padding_tokens": 16, 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Here's how you can do it in Python:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if the file name is empty or None\n if not file_name:\n return 'No'\n \n # Check if the file name has more than three digits\n if len(re.findall(r'\\d', file_name)) > 3:\n return 'No'\n \n # Check if the file name has exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Split the file name by the dot to get the parts before and after the dot\n before_dot, after_dot = file_name.split('.', 1)\n \n # Check if the part before the dot starts with a letter and is not empty\n if not before_dot.strip().startswith(r'[a-zA-Z]') or not before_dot.strip():\n return 'No'\n \n # Check if the part after the dot is in the list ['txt', 'exe', 'dll']\n if after_dot.strip().lower() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # Should return 'Yes'\nprint(file_name_check(\"1example.dll\")) # Should return 'No'\n```\n\n### Explanation:\n1. **Check for None or Empty String**: The function starts by checking if the file name is `None` or an empty string. If so, it returns 'No'.\n\n2. **Check for Excessive Digits**: The function then uses a regular expression to find all digits in the file name. If more than three digits are found, it returns 'No'.\n\n3. **Check for One Dot**: The function counts the number of dots in the file name. 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"272ff6018d7b6a0d6daebd8d88928d4fef245ae2cd6262334e728d49853f3ebd", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if there are more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n\n # Check if there is exactly one dot\n if re.search(r'\\.+', file_name):\n return 'No'\n\n # Check if the substring before the dot starts with a letter\n if not re.search(r'^[a-zA-Z]', file_name):\n return 'No'\n\n # Check if the substring after the dot is in the list ['txt', 'exe', 'dll']\n if file_name.split('.')[1] not in ['txt', 'exe', 'dll']:\n return 'No'\n\n return 'Yes'\n```\n\nThis function uses regular expressions to check if the file name meets the requirements. The `re.search` function is used to search for the patterns in the file name. The `\\d{4,}` pattern matches any sequence of four or more digits, `\\.+` matches one or more dots, `^[a-zA-Z]` matches any character that starts a string and is a letter from 'a' to 'z' or 'A' to 'Z', and `file_name.split('.')[1] not in ['txt', 'exe', 'dll']` checks if the substring after the dot is one of the specified extensions.", + "text_sha256": "74a26dde052f343f0ee19d6668ce86c5ae48795d2e4d1f5708c6eece7ba8f95d", + "uniform_steps_consumed": 339, + "uniform_uint64_prefix_sha256": "a788d19795840d4f4f42519f4b28ca41bedf197ab2bb5d23860fa77cf01d4bb6", + "uniform_uint64_first_eight_hex": [ + "e4f4998356beb7c4", + "c1bfec7d02fb844b", + "4efb8d0a79e89fb3", + "d7cac8ecc230c9ac", + "4b657450783aca05", + "91c03de9a1c9086d", + "6a9182e255bf0132", + "b0d072234829ace3" + ], + "task_score": { + "candidate_sha256": "d65e9b3f0ee406827533b45a64e7590483f0749026786636f0b4d3b667b92126", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 276, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "947e4149013f250c97d299628a11541d04caf5c0c4868a2ccbc352887099fbf3", + "generated_tokens": 268, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 1761, + 62, + 1531, + 62, + 4897, + 7, + 2810, + 62, + 1531, + 1780, + 185, + 300, + 1501, + 7361, + 327, + 691, + 853, + 1853, + 33325, + 185, + 300, + 565, + 298, + 13, + 2919, + 7, + 81, + 12850, + 67, + 90, + 19, + 40366, + 1185, + 1761, + 62, + 1531, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 185, + 300, + 1501, + 7361, + 327, + 691, + 853, + 634, + 14090, + 185, + 300, + 565, + 298, + 13, + 2919, + 7, + 81, + 12850, + 61251, + 1185, + 1761, + 62, + 1531, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 185, + 300, + 1501, + 7361, + 327, + 7137, + 1210, + 1323, + 14090, + 185, + 300, + 565, + 441, + 1761, + 62, + 1531, + 13, + 7807, + 23242, + 52350, + 16, + 5864, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 185, + 300, + 1501, + 7361, + 327, + 13131, + 8068, + 185, + 300, + 565, + 1761, + 62, + 1531, + 13, + 7807, + 23242, + 52350, + 16, + 60, + 441, + 279, + 12262, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 70854, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 185, + 300, + 972, + 655, + 5661, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 4252, + 14479, + 276, + 2341, + 327, + 254, + 4480, + 13, + 429, + 2030, + 248, + 13, + 2919, + 63, + 1157, + 317, + 1222, + 276, + 3365, + 327, + 11817, + 279, + 254, + 2662, + 13, + 429, + 2030, + 59, + 67, + 90, + 19, + 40366, + 63, + 7937, + 12022, + 688, + 2685, + 410, + 691, + 23946, + 33325, + 11, + 2030, + 59, + 61251, + 63, + 12022, + 688, + 634, + 410, + 691, + 14090, + 11, + 285, + 2030, + 59, + 65, + 63, + 12022, + 245, + 1734, + 8789, + 13, + 429, + 2030, + 7807, + 23242, + 52350, + 16, + 60, + 63, + 1157, + 40964, + 254, + 2662, + 881, + 984, + 4373, + 430, + 254, + 1022, + 14090, + 11, + 285, + 395, + 1529, + 254, + 1864, + 697, + 372, + 254, + 1761, + 8068, + 13, + 100001 + ], + "generated_token_ids_sha256": "14c1d24cd73c22fea13a5d21fe36e54729d6fa7e9f6d93fa3201800f8f37c701", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check for more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n\n # Check for more than one dot\n if re.search(r'\\.+', file_name):\n return 'No'\n\n # Check for empty name before dot\n if not file_name.split('.')[1]:\n return 'No'\n\n # Check for invalid extension\n if file_name.split('.')[1] not in ['txt', 'exe', 'dll']:\n return 'No'\n\n return 'Yes'\n```\n\nThis function uses regular expressions to check for the conditions. The `re.search` function is used to search for patterns in the string. The `\\d{4,}` pattern matches any four or more consecutive digits, `\\.+` matches any one or more dot, and `\\b` matches a word boundary. The `split('.')[1]` function splits the string into two parts at the first dot, and we take the second part as the file extension.", + "text_sha256": "081756a3e0ad873db26c8da39917688b488fa32882605d78517b4134b66e9251", + "uniform_steps_consumed": 268, + "uniform_uint64_prefix_sha256": "32d7d8b2931cb984a41f557b5acc4f43708f928fe6dbfdc0b47c8cc53f9576bf", + "uniform_uint64_first_eight_hex": [ + "e4f4998356beb7c4", + "c1bfec7d02fb844b", + "4efb8d0a79e89fb3", + "d7cac8ecc230c9ac", + "4b657450783aca05", + "91c03de9a1c9086d", + "6a9182e255bf0132", + "b0d072234829ace3" + ], + "task_score": { + "candidate_sha256": "b4d5f8e6b960fb472d58b4fff68a9a5608984bdeff4f792c01b548595d677e73", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 260, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "2830ac9c67193f2c21e9d70a731b4e4b2893ed4fb67bb4090ffb2214cc1941b0", + "generated_tokens": 476, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 3708, + 245, + 1157, + 344, + 14180, + 565, + 245, + 2028, + 1761, + 1210, + 18880, + 254, + 7116, + 15075, + 13, + 4462, + 6, + 82, + 254, + 3956, + 276, + 4353, + 254, + 2030, + 2810, + 62, + 1531, + 62, + 4897, + 63, + 1157, + 25, + 185, + 185, + 16, + 13, + 9217, + 7109, + 327, + 254, + 6943, + 280, + 33325, + 59668, + 1273, + 254, + 1761, + 1210, + 5410, + 691, + 853, + 1853, + 33325, + 11, + 972, + 655, + 3233, + 6767, + 185, + 17, + 13, + 9217, + 7109, + 327, + 254, + 6943, + 280, + 245, + 14090, + 59668, + 1273, + 254, + 1761, + 1210, + 1217, + 441, + 3780, + 5096, + 634, + 14090, + 11, + 972, + 655, + 3233, + 6767, + 185, + 18, + 13, + 9217, + 7109, + 254, + 15799, + 1323, + 254, + 14090, + 59668, + 1273, + 254, + 15799, + 317, + 7137, + 410, + 1217, + 441, + 1330, + 366, + 245, + 5371, + 473, + 254, + 13406, + 32628, + 11, + 972, + 655, + 3233, + 6767, + 185, + 19, + 13, + 9217, + 7109, + 254, + 8068, + 1166, + 254, + 14090, + 59668, + 1273, + 254, + 8068, + 317, + 441, + 634, + 280, + 254, + 5987, + 17341, + 10321, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 8871, + 972, + 655, + 3233, + 6767, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 4353, + 254, + 2985, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1761, + 62, + 1531, + 62, + 4897, + 7, + 2810, + 62, + 1531, + 1780, + 185, + 300, + 1501, + 7361, + 327, + 33325, + 185, + 300, + 565, + 688, + 7, + 5902, + 13, + 262, + 41557, + 826, + 327, + 1563, + 279, + 1761, + 62, + 1531, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 327, + 254, + 14090, + 185, + 300, + 565, + 63465, + 441, + 279, + 1761, + 62, + 1531, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 40410, + 254, + 1761, + 1210, + 457, + 254, + 14090, + 185, + 300, + 1210, + 11, + 8068, + 403, + 1761, + 62, + 1531, + 13, + 3316, + 4721, + 23242, + 1185, + 207, + 16, + 8, + 185, + 251, + 185, + 300, + 1501, + 7361, + 254, + 15799, + 1323, + 254, + 14090, + 185, + 300, + 565, + 441, + 1210, + 13, + 262, + 1694, + 826, + 410, + 441, + 688, + 7, + 5902, + 13, + 262, + 1694, + 826, + 410, + 1563, + 13, + 262, + 3304, + 826, + 327, + 1563, + 279, + 1210, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 254, + 8068, + 1166, + 254, + 14090, + 185, + 300, + 565, + 8068, + 13, + 13295, + 826, + 441, + 279, + 12262, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 70854, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 1273, + 521, + 14180, + 1452, + 11, + 972, + 655, + 5661, + 6, + 185, + 300, + 972, + 655, + 5661, + 6, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 8500, + 13, + 9307, + 11993, + 207, + 1501, + 12816, + 972, + 655, + 5661, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 16, + 8500, + 13, + 35205, + 11993, + 207, + 1501, + 12816, + 972, + 655, + 3233, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 21165, + 13, + 1531, + 11993, + 207, + 1501, + 12816, + 972, + 655, + 3233, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 1531, + 13, + 9307, + 11993, + 251, + 1501, + 12816, + 972, + 655, + 5661, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1023, + 1132, + 9695, + 8843, + 3203, + 245, + 1761, + 1210, + 18880, + 254, + 7116, + 15075, + 13, + 100001 + ], + "generated_token_ids_sha256": "38dec48b791168176d46141f26f201f16c07bd45f187a5286424becfb42f6269", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to write a function that checks if a given file name meets the specified criteria. Here's the approach to implement the `file_name_check` function:\n\n1. **Check for the presence of digits**: If the file name contains more than three digits, return 'No'.\n2. **Check for the presence of a dot**: If the file name does not contain exactly one dot, return 'No'.\n3. **Check the prefix before the dot**: If the prefix is empty or does not start with a letter from the Latin alphabet, return 'No'.\n4. **Check the extension after the dot**: If the extension is not one of the allowed extensions ('txt', 'exe', 'dll'), return 'No'.\n\nNow, let's implement the code:\n\n```python\ndef file_name_check(file_name):\n # Check for digits\n if any(char.isdigit() for char in file_name):\n return 'No'\n \n # Check for the dot\n if '.' not in file_name:\n return 'No'\n \n # Split the file name by the dot\n name, extension = file_name.rsplit('.', 1)\n \n # Check the prefix before the dot\n if not name.isalpha() or not any(char.isalpha() or char.isspace() for char in name):\n return 'No'\n \n # Check the extension after the dot\n if extension.lower() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, return 'Yes'\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # Should return 'Yes'\nprint(file_name_check(\"1example.dll\")) # Should return 'No'\nprint(file_name_check(\"invalid.name\")) # Should return 'No'\nprint(file_name_check(\"name.txt\")) # Should return 'Yes'\n```\n\nThis function should now correctly identify whether a file name meets the specified criteria.", + "text_sha256": "570933d58594ab05b49b477f665b38e0c1183fc38b98a86e9df89b933d22af75", + "uniform_steps_consumed": 476, + "uniform_uint64_prefix_sha256": "73991391571efdafdee4519537e7c13d84130c87de495c7b47d1e5217afd1e48", + "uniform_uint64_first_eight_hex": [ + "e4f4998356beb7c4", + "c1bfec7d02fb844b", + "4efb8d0a79e89fb3", + "d7cac8ecc230c9ac", + "4b657450783aca05", + "91c03de9a1c9086d", + "6a9182e255bf0132", + "b0d072234829ace3" + ], + "task_score": { + 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dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Check if the substring before the dot starts with a letter\n if not re.match(r'^[a-zA-Z]', file_name.split('.')[0]):\n return 'No'\n \n # Check if the substring after the dot is one of the specified extensions\n if file_name.split('.')[1] not in ['txt', 'exe', 'dll']:\n return 'No'\n \n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\nprint(file_name_check(\"example.txt.exe\")) # => 'Yes'\nprint(file_name_check(\".txt\")) # => 'No'\nprint(file_name_check(\"example.dll.txt\")) # => 'No'", + "text_sha256": "c632eb6f3805a4d908a55fd561253f19ac08a4d6faf73e5f3711472b9c8ef50b", + "uniform_steps_consumed": 291, + "uniform_uint64_prefix_sha256": "31d8e8e72bc0dca57a3bcc3e43918b3f57fe55a48b92800002b8c5a11eed14a8", + "uniform_uint64_first_eight_hex": [ + "e4f4998356beb7c4", + "c1bfec7d02fb844b", + "4efb8d0a79e89fb3", + "d7cac8ecc230c9ac", + 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"51f600586a56c30a0141d413f7ba009aaa85e8339a6eedf97611dcf0d097be2f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `file_name_check` function, we need to validate the file name according to the specified rules. Here's how you can do it:\n\n1. Check if the file name has more than three digits.\n2. Check if the file name has exactly one dot.\n3. Check if the substring before the dot starts with a letter and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions: 'txt', 'exe', or 'dll'.\n\nHere's the implementation of the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if there are more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if there is exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Split the file name by the dot to get the parts before and after the dot\n before_dot, after_dot = file_name.split('.', 1)\n \n # Check if the part before the dot starts with a letter and is not empty\n if not re.match(r'^[A-Za-z][A-Za-z0-9]*$', before_dot):\n return 'No'\n \n # Check if the part after the dot is one of the allowed extensions\n if after_dot.lower() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Examples\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\n```\n\nThis function uses regular expressions to perform the checks. The `re.search` function is used to find any occurrence of four or more digits, and `re.match` is used to ensure that the part before the dot starts with a letter and is not empty. The `split` method is used to separate the file name into parts before and after the dot. The `lower()` method is used to ensure that the check for the extension is case-insensitive.", + "text_sha256": "efd281ef0d0b4c901a32ce69f90fc5b20ca13695e2ac5c63b3018f8bd6b1a667", + "uniform_steps_consumed": 511, + "uniform_uint64_prefix_sha256": "c23fb07a06eb11558db1c2e77032115b0a3393887fc6fe0d5f9af29c3728d1c2", + "uniform_uint64_first_eight_hex": [ + "99936ee6152a9a57", + "94ca64fc31cadb56", + "0dca787d93b75073", + "309b8322bcdacafb", + "548f7d762a08180f", + "3cee273ae6252d6e", + "d47481064bec3560", + "ca6df621c05863a6" + ], + "task_score": { + "candidate_sha256": "f2af173d970018a7234745bc162831b58a5c8207ddb9a98efb82cbb4cb4a3994", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 276, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "947e4149013f250c97d299628a11541d04caf5c0c4868a2ccbc352887099fbf3", + "generated_tokens": 492, + "generated_token_ids": [ + 2158, + 4353, + 254, + 2030, + 2810, + 62, + 1531, + 62, + 4897, + 63, + 1157, + 11, + 395, + 933, + 276, + 21240, + 254, + 1761, + 1210, + 4299, + 276, + 254, + 7116, + 6543, + 13, + 4462, + 6, + 82, + 946, + 340, + 481, + 536, + 359, + 25, + 185, + 185, + 16, + 13, + 7361, + 565, + 254, + 1761, + 1210, + 643, + 691, + 853, + 1853, + 33325, + 13, + 185, + 17, + 13, + 7361, + 565, + 254, + 1761, + 1210, + 643, + 5096, + 634, + 14090, + 13, + 185, + 18, + 13, + 7361, + 565, + 254, + 72402, + 1323, + 254, + 14090, + 8501, + 366, + 245, + 5371, + 285, + 317, + 441, + 7137, + 13, + 185, + 19, + 13, + 7361, + 565, + 254, + 72402, + 1166, + 254, + 14090, + 317, + 634, + 280, + 254, + 5987, + 17341, + 25, + 655, + 9307, + 1185, + 655, + 20081, + 1185, + 410, + 655, + 35205, + 6767, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 1761, + 62, + 1531, + 62, + 4897, + 7, + 2810, + 62, + 1531, + 1780, + 185, + 300, + 1501, + 7361, + 565, + 745, + 418, + 691, + 853, + 1853, + 33325, + 185, + 300, + 565, + 688, + 7, + 5902, + 13, + 262, + 41557, + 826, + 327, + 1563, + 279, + 1761, + 62, + 1531, + 565, + 1563, + 3485, + 63465, + 1780, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 745, + 317, + 5096, + 634, + 14090, + 185, + 300, + 565, + 1761, + 62, + 1531, + 13, + 4251, + 23242, + 2519, + 3485, + 207, + 16, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 40410, + 254, + 1761, + 1210, + 457, + 254, + 14090, + 276, + 752, + 254, + 4373, + 1323, + 285, + 1166, + 254, + 14090, + 185, + 300, + 1323, + 62, + 6276, + 11, + 1166, + 62, + 6276, + 403, + 1761, + 62, + 1531, + 13, + 7807, + 23242, + 1185, + 207, + 16, + 8, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 697, + 1323, + 254, + 14090, + 8501, + 366, + 245, + 5371, + 285, + 317, + 441, + 7137, + 185, + 300, + 565, + 441, + 1323, + 62, + 6276, + 13, + 262, + 1694, + 826, + 410, + 441, + 1323, + 62, + 6276, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 8068, + 1166, + 254, + 14090, + 317, + 634, + 280, + 254, + 5987, + 17341, + 185, + 300, + 5987, + 62, + 29667, + 403, + 12262, + 9307, + 1185, + 655, + 20081, + 1185, + 655, + 35205, + 3687, + 185, + 300, + 565, + 1166, + 62, + 6276, + 13, + 13295, + 826, + 441, + 279, + 5987, + 62, + 29667, + 25, + 185, + 391, + 972, + 655, + 3233, + 6, + 185, + 251, + 185, + 300, + 1501, + 1273, + 521, + 14180, + 1452, + 11, + 254, + 1761, + 1210, + 317, + 4640, + 185, + 300, + 972, + 655, + 5661, + 6, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 8500, + 13, + 9307, + 11993, + 207, + 1501, + 1997, + 655, + 5661, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 16, + 8500, + 13, + 35205, + 11993, + 207, + 1501, + 1997, + 655, + 3233, + 6, + 185, + 4134, + 7, + 2810, + 62, + 1531, + 62, + 4897, + 1198, + 18168, + 13, + 35205, + 11993, + 207, + 1501, + 1997, + 655, + 5661, + 6, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 14180, + 327, + 254, + 6943, + 280, + 691, + 853, + 1853, + 33325, + 11, + 691, + 410, + 2246, + 853, + 634, + 14090, + 11, + 285, + 937, + 48905, + 254, + 1761, + 1210, + 881, + 984, + 4373, + 1323, + 285, + 1166, + 254, + 14090, + 13, + 809, + 937, + 14180, + 254, + 4480, + 327, + 1319, + 697, + 285, + 7578, + 655, + 5661, + 6, + 565, + 521, + 4480, + 418, + 2011, + 11, + 285, + 655, + 3233, + 6, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "09701af336c83362499ae933e93fc8c02380e3b84aed45efd8ee5a1c36984efc", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To implement the `file_name_check` function, we need to validate the file name according to the specified rules. Here's how you can do it:\n\n1. Check if the file name has more than three digits.\n2. Check if the file name has exactly one dot.\n3. Check if the substring before the dot starts with a letter and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions: 'txt', 'exe', or 'dll'.\n\nHere's the implementation of the function:\n\n```python\ndef file_name_check(file_name):\n # Check if there are more than three digits\n if any(char.isdigit() for char in file_name if char != '.'):\n return 'No'\n \n # Check if there is exactly one dot\n if file_name.count('.') != 1:\n return 'No'\n \n # Split the file name by the dot to get the parts before and after the dot\n before_dot, after_dot = file_name.split('.', 1)\n \n # Check if the part before the dot starts with a letter and is not empty\n if not before_dot.isalpha() or not before_dot:\n return 'No'\n \n # Check if the extension after the dot is one of the allowed extensions\n allowed_extensions = ['txt', 'exe', 'dll']\n if after_dot.lower() not in allowed_extensions:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\nprint(file_name_check(\"another.dll\")) # => 'Yes'\n```\n\nThis function first checks for the presence of more than three digits, more or less than one dot, and then separates the file name into two parts before and after the dot. 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Here's how you can do it:\n\n1. Check if the file name has more than three digits.\n2. Check if the file name has exactly one dot.\n3. Check if the substring before the dot starts with a letter and is not empty.\n4. Check if the substring after the dot is one of the allowed extensions ('txt', 'exe', 'dll').\n\nHere's the implementation of the function:\n\n```python\nimport re\n\ndef file_name_check(file_name):\n # Check if there are more than three digits\n if re.search(r'\\d{4,}', file_name):\n return 'No'\n \n # Check if there is exactly one dot\n if '.' not in file_name or file_name.count('.') > 1:\n return 'No'\n \n # Split the file name by the dot\n parts = file_name.split('.')\n \n # Check if the first part starts with a letter and is not empty\n if not parts[0].strip('.').startswith(r'[A-Za-z]') or not parts[0].strip('.'):\n return 'No'\n \n # Check if the second part is one of the allowed extensions\n if parts[1].strip() not in ['txt', 'exe', 'dll']:\n return 'No'\n \n # If all checks pass, the file name is valid\n return 'Yes'\n\n# Test cases\nprint(file_name_check(\"example.txt\")) # => 'Yes'\nprint(file_name_check(\"1example.dll\")) # => 'No'\nprint(file_name_check(\"another.txt\")) # => 'Yes'\nprint(file_name_check(\"another.dll\")) # => 'No'\nprint(file_name_check(\"another.exe\")) # => 'Yes'\n```\n\nThis function uses regular expressions to check the conditions and returns 'Yes' if the file name is valid according to the rules, and 'No' otherwise.", + "text_sha256": "9ae0c98ecdfbf1e71b8aff08c746bab9478ddb6650420abe08c609b8def62443", + "uniform_steps_consumed": 487, + "uniform_uint64_prefix_sha256": "393808a1d94017fdc8aa97dd3ddc829cf33b1a2de6051fbdf822c307a76bb1ca", + "uniform_uint64_first_eight_hex": [ + "99936ee6152a9a57", + "94ca64fc31cadb56", + "0dca787d93b75073", + "309b8322bcdacafb", + "548f7d762a08180f", + "3cee273ae6252d6e", + "d47481064bec3560", + "ca6df621c05863a6" + ], + "task_score": { + "candidate_sha256": "fa7bbc45d173fc854dd4a70af577c017ce58a687ce6ccf26b743b891c7266a4c", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + 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Here's how you can implement the `is_bored` function:\n\n```python\nimport re\n\ndef is_bored(S):\n # Define a regular expression pattern to match sentences ending with a punctuation\n # followed by one or more spaces and then the word \"I\"\n pattern = r'\\.\\s*|\\?\\s*|\\!\\s*.*I'\n \n # Use re.findall to find all occurrences of the pattern in the string\n matches = re.findall(pattern, S)\n \n # Return the count of matches, which is the number of boredoms\n return len(matches)\n\n# Example usage:\nprint(is_bored(\"Hello world\")) # Output: 0\nprint(is_bored(\"The sky is blue. The sun is shining. I love this weather\")) # Output: 1\n```\n\n### Explanation:\n1. **Importing `re` Module**: The `re` module is imported to use regular expressions in Python.\n2. **Regular Expression Pattern**:\n - `\\.\\s*|\\?\\s*|\\!\\s*`: This pattern matches sentences ending with a period (.), a question mark (?), or an exclamation mark (!). The `\\s*` matches zero or more spaces.\n - `.*I`: This part matches any characters (except newline) followed by the word \"I\".\n3. **Using `re.findall`**: The `re.findall` function is used to find all non-overlapping matches of the pattern in the string. It returns a list of strings where each string is a match.\n4. **Counting Matches**: The length of the list of matches is returned, which is the number of boredoms (sentences starting with \"I\").\n\nThis function will work for any string input and count the number of sentences that start with \"I\" and are followed by a punctuation mark and one or more spaces.", + "text_sha256": "c79028237582837768f1a1dc88fccfac3d1cf80be3bb2e0c5a1d2fb1e950eae2", + "uniform_steps_consumed": 449, + "uniform_uint64_prefix_sha256": "301244e483626a8634a3bd285f9b663e44964b8b38d7f59f323473675fa45edf", + "uniform_uint64_first_eight_hex": [ + "6fed8f127d16f198", + "d15be09c674df502", + "7e3d8d22c8cbd0e2", + "52708e721a915d10", + "66edabd7124e20b1", + "36ff8944ff5543c9", + "021a9fc11ffbf23f", + "aa9da80f48d161bf" + ], + "task_score": { + "candidate_sha256": "60ed21a9935833eb8868a3e111a48942cea980abe7d0f439d078cf2e477ae59a", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 158, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6d709828c5cff5a1bc5d56f48b9149b883c5c2c65b3b99fc1d772492b6faa395", + "generated_tokens": 316, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 340, + 481, + 938, + 254, + 2030, + 248, + 63, + 6231, + 279, + 12974, + 11, + 588, + 4614, + 1855, + 327, + 4252, + 14479, + 13, + 429, + 2030, + 248, + 13, + 6386, + 436, + 46120, + 1157, + 481, + 330, + 1222, + 276, + 1275, + 521, + 47721, + 280, + 245, + 7937, + 279, + 245, + 2662, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 3956, + 276, + 8708, + 254, + 2066, + 25, + 185, + 185, + 16, + 13, + 21011, + 254, + 2030, + 248, + 63, + 6231, + 13, + 185, + 17, + 13, + 30482, + 245, + 4252, + 5761, + 7937, + 344, + 12022, + 12444, + 15592, + 366, + 245, + 42468, + 1995, + 285, + 688, + 1604, + 280, + 2170, + 12, + 2687, + 7445, + 13, + 185, + 18, + 13, + 7305, + 2030, + 248, + 13, + 6386, + 436, + 46120, + 276, + 1275, + 521, + 47721, + 280, + 254, + 7937, + 279, + 254, + 2782, + 2662, + 2030, + 50, + 13557, + 185, + 19, + 13, + 4775, + 254, + 1604, + 280, + 12022, + 13, + 185, + 20, + 13, + 7898, + 254, + 1690, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 317, + 62, + 65, + 2894, + 7, + 50, + 1780, + 185, + 300, + 1501, + 30482, + 254, + 4252, + 5761, + 7937, + 185, + 300, + 7937, + 403, + 428, + 12850, + 65, + 40, + 59, + 50, + 9, + 94544, + 45423, + 59, + 82, + 44045, + 185, + 251, + 185, + 300, + 1501, + 11424, + 521, + 12022, + 280, + 254, + 7937, + 279, + 254, + 2662, + 185, + 300, + 12022, + 403, + 298, + 13, + 6386, + 436, + 7, + 21602, + 11, + 324, + 8, + 185, + 251, + 185, + 300, + 1501, + 4775, + 254, + 1604, + 280, + 12022, + 185, + 300, + 1690, + 403, + 10389, + 7, + 32428, + 8, + 185, + 251, + 185, + 300, + 972, + 1690, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 4134, + 7, + 262, + 62, + 65, + 2894, + 1198, + 17464, + 1843, + 11993, + 207, + 1501, + 20154, + 25, + 207, + 15, + 185, + 4134, + 7, + 262, + 62, + 65, + 2894, + 1198, + 549, + 9539, + 317, + 5501, + 13, + 429, + 4281, + 317, + 25288, + 13, + 304, + 2126, + 437, + 8077, + 11993, + 207, + 1501, + 20154, + 25, + 207, + 16, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 1690, + 254, + 1604, + 280, + 12444, + 344, + 1330, + 366, + 254, + 1734, + 440, + 40, + 1, + 279, + 254, + 2782, + 2662, + 2030, + 50, + 13557, + 100001 + ], + "generated_token_ids_sha256": "b5a6c981027a61f9029fec97d1fa90480597d28dbba2ce2c78702cfd7a8f1035", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, you can use the `re` module in Python, which provides support for regular expressions. The `re.findall()` function can be used to find all occurrences of a pattern in a string.\n\nHere's the approach to solve the problem:\n\n1. Import the `re` module.\n2. Define a regular expression pattern that matches sentences ending with a punctuation mark and any number of non-word characters.\n3. Use `re.findall()` to find all occurrences of the pattern in the input string `S`.\n4. Count the number of matches.\n5. Return the count.\n\nHere's the implementation of the function:\n\n```python\nimport re\n\ndef is_bored(S):\n # Define the regular expression pattern\n pattern = r'\\bI\\S*?\\.?\\s*'\n \n # Find all matches of the pattern in the string\n matches = re.findall(pattern, S)\n \n # Count the number of matches\n count = len(matches)\n \n return count\n\n# Example usage:\nprint(is_bored(\"Hello world\")) # Output: 0\nprint(is_bored(\"The sky is blue. The sun is shining. I love this weather\")) # Output: 1\n```\n\nThis function will count the number of sentences that start with the word \"I\" in the input string `S`.", + "text_sha256": "7644e0ec9cc98fb4bdfa05f32b786d068daa5e3e10061012ba69b0e1def3dc94", + "uniform_steps_consumed": 316, + "uniform_uint64_prefix_sha256": "eac2e51fa6bbb38769dc1781610519af825a671353a238405826cc2a55664b1e", + "uniform_uint64_first_eight_hex": [ + "6fed8f127d16f198", + "d15be09c674df502", + "7e3d8d22c8cbd0e2", + "52708e721a915d10", + "66edabd7124e20b1", + "36ff8944ff5543c9", + "021a9fc11ffbf23f", + "aa9da80f48d161bf" + ], + "task_score": { + "candidate_sha256": "0afc6a059a795621c541453b7c3df87ed357d3bccb3d8867a103ad2ad3de05f7", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 142, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "9bf4d34f8cd5837eafacd6d04d5e4b096426132c13fe352bce625bfaed65c7a5", + "generated_tokens": 267, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 340, + 481, + 938, + 254, + 2030, + 248, + 63, + 6231, + 279, + 12974, + 11, + 588, + 4614, + 1855, + 327, + 4252, + 14479, + 13, + 429, + 2030, + 248, + 13, + 6386, + 436, + 46120, + 1157, + 481, + 330, + 1222, + 276, + 1275, + 521, + 47721, + 280, + 245, + 7937, + 279, + 245, + 2662, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 2030, + 262, + 62, + 65, + 2894, + 63, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1901, + 298, + 185, + 185, + 1558, + 317, + 62, + 65, + 2894, + 7, + 50, + 1780, + 185, + 300, + 1501, + 30482, + 254, + 7937, + 276, + 4174, + 12444, + 5872, + 366, + 440, + 40, + 1, + 185, + 300, + 7937, + 403, + 428, + 12850, + 65, + 40, + 59, + 86, + 28202, + 65, + 6, + 185, + 251, + 185, + 300, + 1501, + 11424, + 521, + 47721, + 280, + 254, + 7937, + 279, + 254, + 2782, + 2662, + 185, + 300, + 12022, + 403, + 298, + 13, + 6386, + 436, + 7, + 21602, + 11, + 324, + 8, + 185, + 251, + 185, + 300, + 1501, + 7898, + 254, + 1604, + 280, + 12022, + 185, + 300, + 972, + 10389, + 7, + 32428, + 8, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 17227, + 245, + 4252, + 5761, + 7937, + 344, + 12022, + 688, + 1734, + 5872, + 366, + 440, + 40, + 1, + 334, + 5879, + 12, + 89774, + 8, + 285, + 2170, + 12, + 13383, + 8940, + 334, + 72, + 13, + 68, + 1797, + 359, + 12022, + 254, + 35721, + 2198, + 1734, + 344, + 12022, + 254, + 7937, + 633, + 429, + 2030, + 59, + 65, + 63, + 1734, + 19186, + 5462, + 344, + 254, + 7937, + 12022, + 889, + 3000, + 3073, + 11, + 441, + 697, + 280, + 1913, + 1734, + 13, + 185, + 185, + 549, + 2030, + 248, + 13, + 6386, + 436, + 46120, + 1157, + 7578, + 245, + 1525, + 280, + 521, + 12022, + 1503, + 279, + 254, + 2782, + 2662, + 2030, + 50, + 13557, + 429, + 1157, + 937, + 7578, + 254, + 3973, + 280, + 437, + 1525, + 11, + 588, + 317, + 254, + 1604, + 280, + 31727, + 5932, + 1503, + 279, + 254, + 2782, + 2662, + 13, + 100001 + ], + "generated_token_ids_sha256": "f3aa2c04d8a67ca79ff84c54911f8b625d828d8e1d7445138da44a5bcff2ae30", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, you can use the `re` module in Python, which provides support for regular expressions. The `re.findall()` function can be used to find all occurrences of a pattern in a string.\n\nHere's the implementation of the `is_bored` function:\n\n```python\nimport re\n\ndef is_bored(S):\n # Define the pattern to match sentences starting with \"I\"\n pattern = r'\\bI\\w*\\b'\n \n # Find all occurrences of the pattern in the input string\n matches = re.findall(pattern, S)\n \n # Return the number of matches\n return len(matches)\n```\n\nThis function defines a regular expression pattern that matches any word starting with \"I\" (case-insensitive) and non-greedy (i.e., it matches the shortest possible word that matches the pattern). The `\\b` word boundaries ensure that the pattern matches only whole words, not part of another word.\n\nThe `re.findall()` function returns a list of all matches found in the input string `S`. 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Then, count the number of sentences in the string. A sentence is defined as any sequence of characters that ends with a punctuation mark ('.', '?', or '!').\n\nHere's a Python function that implements this logic:\n\n```python\nimport re\n\ndef is_bored(S):\n # Find all sentences in the string\n sentences = re.findall(r'\\s*[.!?]\\s*', S)\n \n # Count the sentences ending with \"I\"\n bored_count = len([sentence for sentence in sentences if \"I\" in sentence])\n \n return bored_count\n\n# Example usage:\nprint(is_bored(\"Hello world\")) # Should return 0\nprint(is_bored(\"The sky is blue. The sun is shining. I love this weather\")) # Should return 1\n```\n\nThis function uses regular expressions to find all occurrences of a sentence ending punctuation followed by a space, and then checks if any of these sentences contain the word \"I\". 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Then, it sums up only the elements that are between 9 and 99 (inclusive).\n\nThis solution assumes that the input array only contains integers and that the number of elements `k` is less than or equal to the total number of elements in the array.\n\nPlease note that this solution assumes that the input array only contains integers. If the array can contain non-integer elements, you should add a check for that.", + "text_sha256": "693a01ce98d5096d26450c37dd67c16b664031301142714b90876d2589104a94", + "uniform_steps_consumed": 163, + "uniform_uint64_prefix_sha256": "06c84ef5b3d9b12ae5cc8f90c5dffa02c76076aa7d8afaa46381d444a6c7339e", + "uniform_uint64_first_eight_hex": [ + "d6ce60869c60f474", + "96ea0d7080050935", + "00a1f63a8f32bb82", + "903f735de55edf37", + "9440c399ec71d4ce", + "1f649b581fdea07c", + "60f851073f2bdea7", + "d51ca291ceb396e0" + ], + "task_score": { + "candidate_sha256": "d9fd7da4d92bde313c19eb8283c77acbc3060ec5e4ac5ebb7dea55daaf6e8ca0", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 186, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "1bef3fc8822ea1fcbb5b10356df3726406e24be935b2c35c8f997b6b3a51908f", + "generated_tokens": 157, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 62, + 22208, + 7, + 3049, + 11, + 530, + 1780, + 185, + 300, + 972, + 2555, + 7, + 72, + 327, + 460, + 279, + 5382, + 16998, + 74, + 60, + 565, + 207, + 24, + 459, + 460, + 459, + 207, + 16, + 15, + 15, + 8, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 85361, + 254, + 2782, + 3869, + 2030, + 3049, + 63, + 581, + 276, + 254, + 1022, + 2030, + 74, + 63, + 4899, + 13, + 809, + 937, + 91281, + 855, + 1069, + 4899, + 11, + 13575, + 565, + 1319, + 634, + 317, + 1439, + 207, + 24, + 285, + 207, + 24, + 24, + 334, + 66534, + 633, + 1273, + 359, + 317, + 11, + 254, + 1157, + 12852, + 359, + 276, + 254, + 2555, + 13, + 185, + 185, + 1567, + 3418, + 25107, + 344, + 254, + 2782, + 3869, + 889, + 5410, + 26559, + 285, + 344, + 254, + 3869, + 317, + 24350, + 279, + 46468, + 1835, + 13, + 1273, + 254, + 3869, + 1027, + 3780, + 2170, + 12, + 22516, + 4899, + 410, + 565, + 254, + 3869, + 317, + 441, + 24350, + 11, + 254, + 1157, + 744, + 933, + 276, + 330, + 11551, + 276, + 6428, + 1069, + 3863, + 13, + 100001 + ], + "generated_token_ids_sha256": "e044667fa7e18348558c9ce5acbe1d9a324f858d5dee463b6888148115ab26ed", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef add_elements(arr, k):\n return sum(i for i in arr[:k] if 9 < i < 100)\n```\n\nThis function works by slicing the input array `arr` up to the first `k` elements. It then iterates over these elements, checking if each one is between 9 and 99 (inclusive). If it is, the function adds it to the sum.\n\nThis solution assumes that the input array only contains integers and that the array is sorted in ascending order. If the array could contain non-integer elements or if the array is not sorted, the function would need to be modified to handle these cases.", + "text_sha256": "b6c61e48f51e8d42699349d357b5991f8949b201c3e4b892045422c8f0bf7975", + "uniform_steps_consumed": 157, + "uniform_uint64_prefix_sha256": "e313f66bf12e5f02e192471d8feaecc7da54acf72d8b284a3d1ac273467245ec", + "uniform_uint64_first_eight_hex": [ + "d6ce60869c60f474", + "96ea0d7080050935", + "00a1f63a8f32bb82", + "903f735de55edf37", + "9440c399ec71d4ce", + "1f649b581fdea07c", + "60f851073f2bdea7", + "d51ca291ceb396e0" + ], + "task_score": { + "candidate_sha256": "d9fd7da4d92bde313c19eb8283c77acbc3060ec5e4ac5ebb7dea55daaf6e8ca0", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 170, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "cdacc4931dfe88a9f8451ac93bed8453c84e773d8ae7da0f1ddf724ac5bf76cf", + "generated_tokens": 193, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 962, + 62, + 22208, + 7, + 3049, + 11, + 530, + 1780, + 185, + 300, + 1501, + 35914, + 2555, + 185, + 300, + 2555, + 403, + 207, + 15, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 1022, + 530, + 4899, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 74, + 1780, + 185, + 391, + 1501, + 1273, + 254, + 3699, + 317, + 2246, + 853, + 207, + 16, + 15, + 15, + 11, + 962, + 359, + 276, + 254, + 2555, + 185, + 391, + 565, + 5382, + 58, + 72, + 60, + 459, + 207, + 16, + 15, + 15, + 25, + 185, + 595, + 2555, + 7324, + 5382, + 58, + 72, + 60, + 185, + 300, + 1501, + 7898, + 254, + 2555, + 185, + 300, + 972, + 2555, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 855, + 254, + 1022, + 530, + 4899, + 280, + 254, + 3869, + 13, + 1494, + 1319, + 3699, + 11, + 359, + 14180, + 565, + 254, + 3699, + 317, + 2246, + 853, + 207, + 16, + 15, + 15, + 13, + 1273, + 359, + 317, + 11, + 254, + 3699, + 317, + 3746, + 276, + 254, + 2555, + 13, + 12226, + 11, + 254, + 2555, + 317, + 5651, + 13, + 185, + 185, + 1567, + 3418, + 25107, + 344, + 254, + 4899, + 280, + 254, + 3869, + 418, + 26559, + 13, + 1273, + 254, + 3869, + 481, + 3780, + 2170, + 12, + 22516, + 4899, + 11, + 254, + 1157, + 1023, + 330, + 11551, + 276, + 6428, + 437, + 1460, + 13, + 100001 + ], + "generated_token_ids_sha256": "48ea0f155d341f46aeacd6d75d26e722ab32162d0ee2b7e552a4e6397103b7ae", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef add_elements(arr, k):\n # Initialize sum\n sum = 0\n # Iterate over the first k elements\n for i in range(k):\n # If the element is less than 100, add it to the sum\n if arr[i] < 100:\n sum += arr[i]\n # Return the sum\n return sum\n```\n\nThis function works by iterating over the first k elements of the array. For each element, it checks if the element is less than 100. If it is, the element is added to the sum. Finally, the sum is returned.\n\nThis solution assumes that the elements of the array are integers. If the array can contain non-integer elements, the function should be modified to handle this case.", + "text_sha256": "d38eeea6d86a0729235b178037abcf618913b212c687431a667fe143cff64a93", + "uniform_steps_consumed": 193, + "uniform_uint64_prefix_sha256": "20081e032493cbaee87d8a89da7c86c9d8e4b666954c3ada66945346d7b641af", + "uniform_uint64_first_eight_hex": [ + "d6ce60869c60f474", + "96ea0d7080050935", + "00a1f63a8f32bb82", + "903f735de55edf37", + "9440c399ec71d4ce", + "1f649b581fdea07c", + "60f851073f2bdea7", + "d51ca291ceb396e0" + ], + "task_score": { + "candidate_sha256": "b1b715387c87e8718722cdc440974d0c55eefd50234e7b7225c87bb98c400957", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 186, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "4466d904daeed9812cd02e5bc7e141ce1b018de1478132cc69d335717f928176", + "generated_tokens": 52, + "generated_token_ids": [ + 977, + 962, + 62, + 22208, + 7, + 3049, + 11, + 530, + 1780, + 185, + 300, + 2555, + 403, + 207, + 15, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 74, + 1780, + 185, + 391, + 565, + 10389, + 7, + 2017, + 7, + 3049, + 58, + 72, + 26034, + 10551, + 207, + 17, + 25, + 185, + 595, + 2555, + 7324, + 5382, + 58, + 72, + 60, + 185, + 300, + 972, + 2555, + 100001 + ], + "generated_token_ids_sha256": "2e80616effd3d812a12e056a312ad978c6f1f2787eb38bb1f7d2688c23eccdd6", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def add_elements(arr, k):\n sum = 0\n for i in range(k):\n if len(str(arr[i])) <= 2:\n sum += arr[i]\n return sum", + "text_sha256": "c1811b48a81a10aa733154dbc9fe3b4f03b8eaa23fe6c40a79f53014b9c6c208", + "uniform_steps_consumed": 52, + "uniform_uint64_prefix_sha256": "1500f93b169016d32df45fc64ced2e1e3eb67f6cfa9e3a0f1f36c5ca543bedea", + 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three prime numbers, we can follow these steps:\n\n1. Check if the number is greater than 1. Numbers less than 2 cannot be products of prime numbers.\n2. Iterate through all possible prime numbers less than the square root of the given number. This is because a larger factor would have already been detected as a product of smaller primes.\n3. For each prime number, check if it divides the given number evenly (i.e., without a remainder).\n4. If a prime number divides the given number evenly, divide the given number by that prime number and repeat steps 2-4 with the resulting number.\n5. If the given number becomes 1 after the process, then it was indeed a product of three prime numbers.\n6. If the given number is not reduced to 1, then it was not a product of three prime numbers.\n\nHere is the Python function implementing the above logic:\n\n```python\nimport math\n\ndef is_multiply_prime(n):\n \"\"\"\n Check if a number is a product of exactly three prime numbers.\n \n Args:\n n (int): The number to check.\n \n Returns:\n bool: True if n is a product of three prime numbers, False otherwise.\n \"\"\"\n # Step 1: Check if the number is greater than 1\n if n < 2:\n return False\n \n # Step 2: Iterate through all possible prime numbers less than the square root of n\n for i in range(2, int(math.sqrt(n)) + 1):\n if n % i == 0:\n # Step 3: Divide n by the prime factor and repeat the process\n return is_multiply_prime(n // i)\n \n # Step 5: If n becomes 1, it's a product of three prime numbers\n return True\n\n# Example usage:\nprint(is_multiply_prime(30)) # Should return True\n```\n\nThis function uses a recursive approach to divide the number by its factors and check if it can be expressed as a product of three prime numbers. If the number becomes 1, it means the original number was indeed a product of three prime numbers, and the function returns `True`. 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Check if the number is greater than 1. Numbers less than 2 cannot be products of prime numbers.\n2. Iterate through all possible prime numbers less than the square root of the given number. This is because a larger factor of the number would be a multiple of a smaller factor that has already been checked.\n3. For each prime number, check if it divides the given number evenly. If it does, divide the given number by this prime number and repeat the process with the remaining number.\n4. If the remaining number is 1 after the process, it means the given number is the product of the three prime numbers checked.\n5. If the remaining number is not 1, or if no prime number divides the given number evenly, return False.\n\nHere is the Python function implementing the above logic:\n\n```python\nimport math\n\ndef is_multiply_prime(a):\n if a < 2:\n return False\n \n # Helper function to check if a number is prime\n def is_prime(n):\n if n <= 1:\n return False\n if n <= 3:\n return True\n if n % 2 == 0 or n % 3 == 0:\n return False\n i = 5\n while i * i <= n:\n if n % i == 0 or n % (i + 2) == 0:\n return False\n i += 6\n return True\n \n # Iterate through all prime numbers less than the square root of a\n for i in range(2, int(math.sqrt(a)) + 1):\n if a % i == 0:\n # Check if the remaining number is prime\n remaining = a // i\n if is_prime(remaining):\n # Check if the remaining number after division is also prime\n remaining_remaining = remaining // (i if i != remaining else i + 1)\n if is_prime(remaining_remaining):\n return True\n return False\n\n# Example usage:\nprint(is_multiply_prime(30)) # Should return True\n```\n\nThis function first checks if the number is less than 2", + "text_sha256": "e948837edd97fdedd84185e78db99cd9ae11fbbc54961e976026c0857935182a", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "c94d369d96b13cd47b702519a8358c62c1e64445d8ab7060ae7989e278b7c2ea", + "uniform_uint64_first_eight_hex": [ + "96b69debd4e17f9b", + "32bb08990d0176eb", + "502fad9f0a5111e3", + "a9a6e9fc5b29b598", + "79f4cbf15b5b98ca", + "19f7bacd7a90406c", + "306f53a893f3f675", + "c93dc908fd73f465" + ], + "task_score": { + "candidate_sha256": "6d76dddac9d47fa936113b3773ca93ad3e8c880e903d40dee45f556a9d1803be", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 111, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": 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for j in range(i, 100):\n if a % j == 0 and is_prime(j):\n for k in range(j, 100):\n if a % k == 0 and is_prime(k):\n return True\n return False\n\n# Test cases\nprint(is_multiply_prime(30)) # True\nprint(is_multiply_prime(77)) # False\nprint(is_multiply_prime(11)) # True\nprint(is_multiply_prime(100)) # False", + "text_sha256": "42fc204727e9b935f9ae17d66d0350b42216517c3081f0e129824adb77a383aa", + "uniform_steps_consumed": 234, + "uniform_uint64_prefix_sha256": "d067c831b2cbb1c93212759d491669aad1e6213648fd952af7fd816542bd7107", + "uniform_uint64_first_eight_hex": [ + "96b69debd4e17f9b", + "32bb08990d0176eb", + "502fad9f0a5111e3", + "a9a6e9fc5b29b598", + "79f4cbf15b5b98ca", + "19f7bacd7a90406c", + "306f53a893f3f675", + "c93dc908fd73f465" + ], + "task_score": { + "candidate_sha256": "d9a82b0de9aa0f4b1beebfbbfd57d2f0cbacc4177ebb5b0bbb48e8b48409e896", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + 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9336, + 1525, + 13, + 1273, + 254, + 1562, + 3199, + 317, + 441, + 697, + 280, + 245, + 1734, + 11, + 254, + 1157, + 7578, + 2030, + 13813, + 13557, + 1273, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 285, + 317, + 441, + 697, + 280, + 245, + 1734, + 11, + 254, + 1157, + 7578, + 2030, + 13813, + 13557, + 19051, + 11, + 359, + 7578, + 2030, + 8173, + 13557, + 100001 + ], + "generated_token_ids_sha256": "c81cab1569494d0eb52a3e5053cc5a5ec6465d76910fd262468a2a01581795db", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the implementation of the function `check_if_last_char_is_a_letter`:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Remove trailing whitespace from the string\n txt = txt.rstrip()\n \n # Check if the string is empty\n if not txt:\n return False\n \n # Check if the last character is an alphabetical character\n if not txt[-1].isalpha():\n return False\n \n # Check if the last alphabetical character is not part of a word\n if txt[-1].isalpha() and txt[-1].lower() in txt[:-1].split():\n return False\n \n return True\n\n# Test cases\nprint(check_if_last_char_is_a_letter(\"apple pie\")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"apple pi e\")) # ➞ True\nprint(check_if_last_char_is_a_letter(\"apple pi e \")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"\")) # ➞ False\n```\n\nThis function first strips any trailing whitespace from the input string. Then it checks if the last character is an alphabetical character by using the `isalpha()` method. If it is, the function then checks if it is part of a word by splitting the string into words and checking if the last character is in the resulting list. If the last character is not part of a word, the function returns `False`. If the last character is an alphabetical character and is not part of a word, the function returns `False`. Otherwise, it returns `True`.", + "text_sha256": "286853adb85195918caecdc5b032e7a5b85f9238966eeb50b0d0051d1947d028", + "uniform_steps_consumed": 390, + "uniform_uint64_prefix_sha256": "d4eaab957ea10b36957523cdc74b8d8b6ab6390133a43eac501ff1cb7a8aff39", + "uniform_uint64_first_eight_hex": [ + "d5ae684c7486e390", + "45e3c7d273a81b92", + "73bfdfc77b138081", + "cc537b0964a92c2d", + "5a66e8b02152b341", + "f284dbfcdd5bc3c4", + "dcb3b2a825a09c9a", + "9186fda133b7a642" + ], + "task_score": { + "candidate_sha256": "c033795db283fafcfd3ddb2762929069fd263a6a568c956af085f3fedbb1027f", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 215, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b57e0fa3d3e10bc2ebb421dbb384fa5bea4451067a1fc983d79f6be61472f35a", + "generated_tokens": 248, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 12974, + 2985, + 327, + 254, + 1157, + 2030, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2341, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 7, + 9307, + 1780, + 185, + 300, + 1501, + 17659, + 38506, + 9577, + 285, + 9813, + 254, + 2662, + 881, + 3073, + 185, + 300, + 3073, + 403, + 28350, + 13, + 23362, + 3453, + 7807, + 826, + 185, + 251, + 185, + 300, + 1501, + 4488, + 254, + 1562, + 1734, + 185, + 300, + 1562, + 62, + 2687, + 403, + 3073, + 17606, + 16, + 60, + 185, + 251, + 185, + 300, + 1501, + 7361, + 565, + 254, + 1562, + 3199, + 280, + 254, + 1562, + 1734, + 317, + 274, + 97689, + 3199, + 185, + 300, + 1501, + 285, + 441, + 697, + 280, + 245, + 1734, + 185, + 300, + 565, + 1562, + 62, + 2687, + 17606, + 16, + 2986, + 262, + 1694, + 826, + 285, + 441, + 1562, + 62, + 2687, + 17606, + 16, + 2986, + 262, + 1694, + 10935, + 185, + 391, + 972, + 10491, + 185, + 300, + 1979, + 25, + 185, + 391, + 972, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 1022, + 25072, + 688, + 38506, + 9577, + 473, + 254, + 2782, + 2662, + 2030, + 9307, + 12181, + 937, + 40964, + 254, + 2662, + 881, + 3073, + 1244, + 254, + 2030, + 7807, + 46120, + 2052, + 13, + 809, + 937, + 95278, + 254, + 1562, + 1734, + 1244, + 2030, + 10422, + 17606, + 16, + 60, + 63, + 285, + 14180, + 565, + 254, + 1562, + 3199, + 280, + 344, + 1734, + 317, + 274, + 97689, + 3199, + 285, + 441, + 697, + 280, + 245, + 1734, + 1244, + 254, + 2030, + 262, + 1694, + 46120, + 2052, + 285, + 254, + 2030, + 262, + 1694, + 46120, + 2052, + 11, + 6357, + 13, + 1273, + 1572, + 4480, + 418, + 2011, + 11, + 359, + 7578, + 2030, + 8173, + 59970, + 6616, + 11, + 359, + 7578, + 2030, + 13813, + 13557, + 100001 + ], + "generated_token_ids_sha256": "30185955df38e485ca56a66448215d9901ebfbf396081c63c0f1979c83c82493", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the Python code for the function `check_if_last_char_is_a_letter`:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Remove trailing spaces and split the string into words\n words = txt.strip().split()\n \n # Get the last word\n last_word = words[-1]\n \n # Check if the last character of the last word is an alphabetical character\n # and not part of a word\n if last_word[-1].isalpha() and not last_word[-1].isalpha():\n return True\n else:\n return False\n```\n\nThis function first removes any trailing spaces from the input string `txt`, then splits the string into words using the `split()` method. It then retrieves the last word using `words[-1]` and checks if the last character of that word is an alphabetical character and not part of a word using the `isalpha()` method and the `isalpha()` method, respectively. If both conditions are met, it returns `True`; otherwise, it returns `False`.", + "text_sha256": "a3d87837a50955c324162393ef187cf306a15bf8df632f47c0d2af4d5d28a24e", + "uniform_steps_consumed": 248, + "uniform_uint64_prefix_sha256": "47ee8e07d0c1d6c06abbf2768781b1d7232b11b2f2feaf6228524973a3969501", + "uniform_uint64_first_eight_hex": [ + "d5ae684c7486e390", + "45e3c7d273a81b92", + "73bfdfc77b138081", + "cc537b0964a92c2d", + "5a66e8b02152b341", + "f284dbfcdd5bc3c4", + "dcb3b2a825a09c9a", + "9186fda133b7a642" + ], + "task_score": { + "candidate_sha256": "eed5ae6a557c675defa69ce4b13a8c7e4499bc6b598f8f3d232dec28092d57d8", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 199, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7210c29be547ae840811d59931029cc6f00c1e4bc567260bc4d6a9c44bfbca35", + "generated_tokens": 347, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 254, + 2662, + 473, + 254, + 1225, + 276, + 254, + 6278, + 11, + 13575, + 1319, + 3199, + 276, + 1019, + 565, + 359, + 317, + 274, + 97689, + 3199, + 334, + 24799, + 245, + 5371, + 410, + 245, + 2516, + 633, + 1273, + 395, + 1275, + 245, + 2516, + 11, + 395, + 15008, + 254, + 1610, + 280, + 254, + 7445, + 279, + 254, + 1734, + 13, + 1273, + 395, + 1275, + 274, + 97689, + 3199, + 344, + 317, + 441, + 245, + 2516, + 11, + 395, + 972, + 2030, + 13813, + 13557, + 1273, + 395, + 5934, + 254, + 6278, + 280, + 254, + 2662, + 1673, + 7526, + 1108, + 245, + 3199, + 11, + 395, + 972, + 2030, + 8173, + 13557, + 185, + 185, + 4898, + 317, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2341, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 7, + 9307, + 1780, + 185, + 300, + 1501, + 30068, + 387, + 473, + 254, + 1225, + 280, + 254, + 2662, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 6449, + 7, + 9307, + 8, + 570, + 207, + 16, + 11, + 570, + 16, + 11, + 570, + 16, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 317, + 274, + 97689, + 3199, + 410, + 245, + 2516, + 185, + 391, + 565, + 334, + 9307, + 58, + 72, + 2986, + 262, + 1694, + 826, + 410, + 28350, + 58, + 72, + 2986, + 262, + 3304, + 4698, + 285, + 441, + 28350, + 58, + 72, + 2986, + 262, + 3304, + 10935, + 185, + 595, + 972, + 10491, + 185, + 300, + 972, + 14687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 3837, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 10491, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 91390, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 2030, + 8173, + 63, + 565, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 285, + 441, + 697, + 280, + 245, + 1734, + 11, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "a661269c6c22fa8131b50b865815ea07200fa6f2818cb1833865d49767678fb1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through the string from the end to the beginning, checking each character to see if it is an alphabetical character (either a letter or a space). If we find a space, we skip the rest of the characters in the word. If we find an alphabetical character that is not a space, we return `False`. If we reach the beginning of the string without finding such a character, we return `True`.\n\nHere is the implementation of the function:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Iterate from the end of the string\n for i in range(len(txt) - 1, -1, -1):\n # Check if the character is an alphabetical character or a space\n if (txt[i].isalpha() or txt[i].isspace()) and not txt[i].isspace():\n return True\n return False\n\n# Test cases\nprint(check_if_last_char_is_a_letter(\"apple pie\")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"apple pi e\")) # ➞ True\nprint(check_if_last_char_is_a_letter(\"apple pi e \")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"\")) # ➞ False\n```\n\nThis function will return `True` if the last character is an alphabetical character and not part of a word, and `False` otherwise.", + "text_sha256": "a378069868ae642fd82dfd8f0c6169ba3a7fa38ef1daf7148f47d19d46c7b2a0", + "uniform_steps_consumed": 347, + "uniform_uint64_prefix_sha256": "88286f4f800a651741e3c97e34829ba126f6f8026ced0fae63b13f87cfd36513", + "uniform_uint64_first_eight_hex": [ + "d5ae684c7486e390", + "45e3c7d273a81b92", + "73bfdfc77b138081", + "cc537b0964a92c2d", + "5a66e8b02152b341", + "f284dbfcdd5bc3c4", + "dcb3b2a825a09c9a", + "9186fda133b7a642" + ], + "task_score": { + "candidate_sha256": "6b5260964d98bff0b118f64527d5b43db1970e6d673c6cee58848144a56f472d", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 215, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "824dffd7a1aff03646950c6d0a05aa5e81b6b9bf36782b99ba7178ed687223de", + "generated_tokens": 365, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 43667, + 1184, + 254, + 2662, + 473, + 254, + 1225, + 285, + 2341, + 565, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 13, + 1003, + 839, + 933, + 276, + 5462, + 344, + 254, + 3199, + 317, + 441, + 697, + 280, + 245, + 1734, + 11, + 588, + 2456, + 359, + 1023, + 441, + 330, + 5496, + 457, + 245, + 2516, + 13, + 4462, + 6, + 82, + 254, + 12974, + 1157, + 276, + 6347, + 437, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 2341, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 7, + 9307, + 1780, + 185, + 300, + 1501, + 7361, + 565, + 254, + 2662, + 317, + 7137, + 185, + 300, + 565, + 441, + 28350, + 25, + 185, + 391, + 972, + 14687, + 185, + 251, + 185, + 300, + 1501, + 30068, + 387, + 473, + 254, + 1225, + 280, + 254, + 2662, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 6449, + 7, + 9307, + 8, + 570, + 207, + 16, + 11, + 570, + 16, + 11, + 570, + 16, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 317, + 274, + 97689, + 3199, + 185, + 391, + 565, + 441, + 28350, + 58, + 72, + 2986, + 262, + 1694, + 10935, + 185, + 595, + 4883, + 185, + 299, + 185, + 391, + 1501, + 7361, + 565, + 254, + 3199, + 317, + 441, + 697, + 280, + 245, + 1734, + 185, + 391, + 565, + 460, + 2318, + 10389, + 7, + 9307, + 8, + 570, + 207, + 16, + 410, + 441, + 28350, + 58, + 72, + 919, + 207, + 16, + 2986, + 262, + 3304, + 10935, + 185, + 595, + 972, + 10491, + 185, + 251, + 185, + 300, + 1501, + 1273, + 642, + 1108, + 3199, + 317, + 1503, + 11, + 972, + 14687, + 185, + 300, + 972, + 14687, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 3837, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 10491, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 9407, + 22041, + 301, + 91390, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 4134, + 7, + 4897, + 62, + 351, + 62, + 6355, + 62, + 5902, + 62, + 262, + 62, + 64, + 62, + 14373, + 1198, + 11993, + 207, + 1501, + 207, + 90826, + 239, + 14687, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 543, + 972, + 2030, + 8173, + 63, + 565, + 254, + 1562, + 3199, + 317, + 274, + 97689, + 3199, + 285, + 441, + 697, + 280, + 245, + 1734, + 11, + 285, + 2030, + 13813, + 63, + 6616, + 13, + 100001 + ], + "generated_token_ids_sha256": "e14af9de615021d5b0ba01f96526c3e8cdb2138ccdeab8f0984f373c891e5311", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through the string from the end and check if the last character is an alphabetical character. We also need to ensure that the character is not part of a word, which means it should not be followed by a space. Here's the Python function to achieve this:\n\n```python\ndef check_if_last_char_is_a_letter(txt):\n # Check if the string is empty\n if not txt:\n return False\n \n # Iterate from the end of the string\n for i in range(len(txt) - 1, -1, -1):\n # Check if the character is an alphabetical character\n if not txt[i].isalpha():\n continue\n \n # Check if the character is not part of a word\n if i == len(txt) - 1 or not txt[i + 1].isspace():\n return True\n \n # If no such character is found, return False\n return False\n\n# Test cases\nprint(check_if_last_char_is_a_letter(\"apple pie\")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"apple pi e\")) # ➞ True\nprint(check_if_last_char_is_a_letter(\"apple pi e \")) # ➞ False\nprint(check_if_last_char_is_a_letter(\"\")) # ➞ False\n```\n\nThis function will return `True` if the last character is an alphabetical character and not part of a word, and `False` otherwise.", + "text_sha256": 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Here's the approach:\n\n1. Initialize a variable to keep track of the sum of all entries.\n2. Iterate through the list using a loop.\n3. For each index, check if it's a multiple of 3 or 4.\n4. If the index is a multiple of 3, square the corresponding entry.\n5. If the index is a multiple of 4, cube the corresponding entry.\n6. If the index is not a multiple of 3 or 4, leave the entry unchanged.\n7. Add the modified entry to the sum.\n8. Return the sum after the loop completes.\n\nNow, let's implement the code:\n\n```python\ndef sum_squares(lst):\n # Initialize the sum\n sum_of_entries = 0\n \n # Iterate through the list\n for i in range(len(lst)):\n # Check if the index is a multiple of 3 or 4\n if (i % 3 == 0 and i % 4 == 0) or (i % 3 != 0 and i % 4 == 0):\n # Square if index is a multiple of 3\n if i % 3 == 0:\n lst[i] = lst[i] ** 2\n # Cube if index is a multiple of 4\n else:\n lst[i] = lst[i] ** 3\n # Add to the sum if the entry is modified\n sum_of_entries += lst[i]\n \n return sum_of_entries\n\n# Test cases\nprint(sum_squares([1, 2, 3])) # Output should be 6\nprint(sum_squares([])) # Output should be 0\nprint(sum_squares([-1, -5, 2, -1, -5])) # Output should be -126\n```\n\nThis code will correctly transform the list based on the specified rules and return the sum of the transformed entries.", + "text_sha256": "dc549a8fc18cf6bcb5d7c6b5a9595cc67eb83d2094efca1776f1f2da150a59ff", + "uniform_steps_consumed": 481, + 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Here's the approach:\n\n1. Initialize a variable to hold the sum of all elements in the list.\n2. Iterate through the list using a loop or list comprehension.\n3. For each element, check if the index is a multiple of 3 or 4.\n4. If the index is a multiple of 3, square the element.\n5. If the index is a multiple of 4 but not a multiple of 3, cube the element.\n6. If neither condition is met (i.e., index is not a multiple of 3 or 4), leave the element unchanged.\n7. Sum up all modified elements.\n8. Return the sum.\n\nNow, let's implement the code:\n\n```python\ndef sum_squares(lst):\n # Initialize the sum\n total_sum = 0\n \n # Iterate through the list\n for i, num in enumerate(lst):\n # Apply the transformation based on the index\n if (i + 1) % 3 == 0: # If index is a multiple of 3\n lst[i] = num ** 2\n elif (i + 1) % 4 == 0: # If index is a multiple of 4 but not 3\n lst[i] = num ** 3\n \n # Sum up all modified elements\n total_sum = sum(lst)\n \n return total_sum\n\n# Test cases\nprint(sum_squares([1, 2, 3])) # Should output 6\nprint(sum_squares([])) # Should output 0\nprint(sum_squares([-1, -5, 2, -1, -5])) # Should output -126\n```\n\nThis code will correctly transform the elements based on the specified rules and return the sum of all transformed elements.", + "text_sha256": "bdd7c089242d79282c229dd69a4e7fd8de5623c9b96fa5347211b9d025ba465a", + "uniform_steps_consumed": 448, + "uniform_uint64_prefix_sha256": "03b77a0c0dc5d76b5fd8c3b3d1d2e554f16cfd80fc1cc017cd78b3bd29a528c7", 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"hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to iterate through the list and apply the specified transformations to the elements based on their indices. Here's how you can implement the `sum_squares` function:\n\n1. Initialize a variable to store the sum of all elements.\n2. Iterate over the list using a loop or a list comprehension.\n3. For each element, check if its index is a multiple of 3 or 4.\n4. If the index is a multiple of 3, square the element.\n5. If the index is a multiple of 4, cube the element.\n6. If the index is not a multiple of 3 or 4, leave the element unchanged.\n7. Add the modified element to the sum.\n8. Return the sum after the loop completes.\n\nHere's the implementation of the function:\n\n```python\ndef sum_squares(lst):\n # Initialize the sum\n total_sum = 0\n \n # Iterate over the list using a loop\n for i, value in enumerate(lst):\n # Apply the transformation based on the index\n if i % 3 == 0: # Index is a multiple of 3\n lst[i] = value ** 2\n elif i % 4 == 0: # Index is a multiple of 4\n lst[i] = value ** 3\n \n # Calculate the sum of all elements in the modified list\n total_sum = sum(lst)\n \n return total_sum\n\n# Example usage:\nprint(sum_squares([1, 2, 3])) # Output should be 6\nprint(sum_squares([])) # Output should be 0\nprint(sum_squares([-1, -5, 2, -1, -5])) # Output should be -126\n```\n\nThis function will correctly apply the transformations and calculate the sum of the modified list as specified.", + "text_sha256": "f56883035c1ddb7bed968784957e3c085b79dd9592030a1df08f82845f643d8b", + "uniform_steps_consumed": 433, + "uniform_uint64_prefix_sha256": 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Here's the approach:\n\n1. Filter out strings with odd lengths from the input list.\n2. Sort the remaining strings first by their length and then alphabetically if lengths are the same.\n3. Return the sorted list of strings.\n\nHere's the implementation in Python:\n\n```python\ndef sorted_list_sum(lst):\n # Filter out strings with odd lengths\n lst = [s for s in lst if len(s) % 2 == 0]\n \n # Sort the list first by length, then alphabetically\n lst.sort(key=lambda s: (len(s), s))\n \n return lst\n\n# Test cases\nassert sorted_list_sum([\"aa\", \"a\", \"aaa\"]) == [\"aa\"]\nassert sorted_list_sum([\"ab\", \"a\", \"aaa\", \"cd\"]) == [\"ab\", \"cd\"]\n```\n\n### Explanation:\n- **Filtering Strings**: The list comprehension `[s for s in lst if len(s) % 2 == 0]` filters out any string `s` in `lst` whose length is an even number. This ensures that only strings with even lengths are considered for further processing.\n- **Sorting**: The `sort` method is used with a key that is a tuple `(len(s), s)`. This means the list is first sorted by the length of each string, and then within strings of the same length, they are sorted alphabetically.\n- **Return Value**: The function returns the sorted list of strings.\n\nThis function should meet the requirements specified in the problem statement, handling both the filtering and sorting of the list as requested.", + "text_sha256": "b21637652359442857a402984b56314d39ec07af8e62c36188bdf0820a6c8461", + "uniform_steps_consumed": 388, + "uniform_uint64_prefix_sha256": "796992fb042745541329628d774173959b1063d8dfb943b9e943a1300f61d925", + "uniform_uint64_first_eight_hex": [ + "2a6c4ee434b73fe2", + "bc34d3aec4d531da", + "a5ae63c34ce45ee8", + "f7138c0127fce4d7", + "21bead2d7cb6f587", + "5d68137abcd894fa", + "9232eb19b19794de", + "089c3dc575937ba6" + ], + "task_score": { + "candidate_sha256": "ec0263eb4cbef31b3329a5fd42e4478736efb06d4aecf869b0fd2d347917acba", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 241, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b9963a1a1d24a173956b042b86e1a0d5a34514c2050d547959315e573c8f3c59", + "generated_tokens": 348, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 4353, + 254, + 2030, + 58365, + 62, + 2502, + 62, + 1805, + 63, + 1157, + 344, + 18880, + 254, + 1893, + 7266, + 25, + 185, + 185, + 16, + 13, + 809, + 29808, + 245, + 1525, + 280, + 14404, + 13, + 185, + 17, + 13, + 809, + 25072, + 688, + 2662, + 366, + 274, + 8788, + 3973, + 13, + 185, + 18, + 13, + 809, + 17314, + 254, + 9325, + 14404, + 1022, + 457, + 704, + 3973, + 285, + 937, + 32628, + 2231, + 565, + 25239, + 418, + 5929, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 12974, + 2985, + 276, + 4353, + 437, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 24350, + 62, + 2502, + 62, + 1805, + 7, + 32808, + 1780, + 185, + 300, + 1501, + 25237, + 636, + 14404, + 366, + 8788, + 25239, + 185, + 300, + 90373, + 403, + 825, + 82, + 327, + 252, + 279, + 90373, + 565, + 10389, + 7, + 82, + 8, + 3028, + 207, + 17, + 2318, + 207, + 15, + 60, + 185, + 251, + 185, + 300, + 1501, + 31794, + 254, + 1525, + 1022, + 457, + 3973, + 11, + 937, + 32628, + 2231, + 565, + 25239, + 418, + 5929, + 185, + 300, + 90373, + 13, + 14318, + 7, + 2458, + 28, + 2229, + 252, + 25, + 334, + 6449, + 7, + 82, + 654, + 252, + 1509, + 185, + 251, + 185, + 300, + 972, + 90373, + 185, + 185, + 2, + 6517, + 3863, + 185, + 5673, + 24350, + 62, + 2502, + 62, + 1805, + 63214, + 8207, + 955, + 440, + 64, + 955, + 440, + 48950, + 36448, + 2318, + 17131, + 8207, + 7290, + 185, + 5673, + 24350, + 62, + 2502, + 62, + 1805, + 63214, + 356, + 955, + 440, + 64, + 955, + 440, + 48950, + 955, + 440, + 2253, + 36448, + 2318, + 17131, + 356, + 955, + 440, + 2253, + 7290, + 185, + 10897, + 185, + 185, + 13483, + 2078, + 43769, + 25, + 185, + 16, + 13, + 9217, + 8725, + 272, + 74575, + 59668, + 429, + 1525, + 46950, + 2030, + 58, + 82, + 327, + 252, + 279, + 90373, + 565, + 10389, + 7, + 82, + 8, + 3028, + 207, + 17, + 2318, + 207, + 15, + 60, + 63, + 16674, + 636, + 688, + 2662, + 2030, + 82, + 63, + 279, + 2030, + 32808, + 63, + 344, + 643, + 274, + 8788, + 3973, + 13, + 185, + 17, + 13, + 9217, + 25303, + 272, + 59668, + 429, + 2030, + 14318, + 63, + 2052, + 317, + 1222, + 366, + 245, + 2385, + 2131, + 1157, + 2030, + 2229, + 252, + 25, + 334, + 6449, + 7, + 82, + 654, + 252, + 8, + 13557, + 1002, + 2131, + 1157, + 10496, + 12974, + 276, + 3734, + 1022, + 457, + 254, + 3973, + 280, + 254, + 2662, + 285, + 937, + 32628, + 2231, + 565, + 25239, + 418, + 5929, + 13, + 185, + 185, + 1567, + 1157, + 1023, + 9695, + 6428, + 254, + 4286, + 1727, + 3863, + 285, + 688, + 750, + 3083, + 18200, + 13, + 100001 + ], + "generated_token_ids_sha256": "52f9a00b95da96602d6ffd2a6c7946e7982b771c55d1613e09643bbc1f3078a6", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to implement the `sorted_list_sum` function that meets the following requirements:\n\n1. It accepts a list of strings.\n2. It removes any string with an odd length.\n3. It sorts the remaining strings first by their length and then alphabetically if lengths are equal.\n\nHere's the Python code to implement this function:\n\n```python\ndef sorted_list_sum(lst):\n # Filter out strings with odd lengths\n lst = [s for s in lst if len(s) % 2 == 0]\n \n # Sort the list first by length, then alphabetically if lengths are equal\n lst.sort(key=lambda s: (len(s), s))\n \n return lst\n\n# Test cases\nassert sorted_list_sum([\"aa\", \"a\", \"aaa\"]) == [\"aa\"]\nassert sorted_list_sum([\"ab\", \"a\", \"aaa\", \"cd\"]) == [\"ab\", \"cd\"]\n```\n\n### Explanation:\n1. **Filtering Strings**: The list comprehension `[s for s in lst if len(s) % 2 == 0]` filters out any string `s` in `lst` that has an odd length.\n2. **Sorting**: The `sort` method is used with a custom key function `lambda s: (len(s), s)`. This key function tells Python to sort first by the length of the string and then alphabetically if lengths are equal.\n\nThis function should correctly handle the provided test cases and any other similar scenarios.", + "text_sha256": "cea7eac1dc1256545dff7ed9ab5d1eb2e5c5557243bd02f65eca970eac85cb6b", + "uniform_steps_consumed": 348, + "uniform_uint64_prefix_sha256": "7b47fc38d6ba721232d4db2f5541c7a152f26ad720bbefedf06e45be5bd7d1ee", + "uniform_uint64_first_eight_hex": [ + "2a6c4ee434b73fe2", + "bc34d3aec4d531da", + "a5ae63c34ce45ee8", + "f7138c0127fce4d7", + "21bead2d7cb6f587", + "5d68137abcd894fa", + "9232eb19b19794de", + "089c3dc575937ba6" + ], + "task_score": { + "candidate_sha256": "f6a81159c3e3aa1c84cae10ba6b992df1fdef67f0b22f1aaa03f31f1900afd62", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 225, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0d8b00b6b3f3af66af152197d62c1202d23e2864ac5704ef6212d68d0b2ca457", + "generated_tokens": 289, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 4353, + 254, + 2030, + 58365, + 62, + 2502, + 62, + 1805, + 63, + 1157, + 344, + 18880, + 254, + 1893, + 7266, + 25, + 185, + 185, + 16, + 13, + 809, + 29808, + 245, + 1525, + 280, + 14404, + 13, + 185, + 17, + 13, + 809, + 25072, + 688, + 2662, + 366, + 274, + 8788, + 3973, + 473, + 254, + 1525, + 13, + 185, + 18, + 13, + 809, + 17314, + 254, + 9325, + 14404, + 1022, + 457, + 704, + 3973, + 285, + 937, + 32628, + 2231, + 565, + 25239, + 418, + 5929, + 13, + 185, + 19, + 13, + 809, + 7578, + 254, + 24350, + 1525, + 280, + 14404, + 13, + 185, + 185, + 4898, + 6, + 82, + 254, + 9674, + 280, + 254, + 1157, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 24350, + 62, + 2502, + 62, + 1805, + 7, + 32808, + 1780, + 185, + 300, + 1501, + 25237, + 636, + 14404, + 366, + 8788, + 25239, + 185, + 300, + 90373, + 403, + 825, + 82, + 327, + 252, + 279, + 90373, + 565, + 10389, + 7, + 82, + 8, + 3028, + 207, + 17, + 2318, + 207, + 15, + 60, + 185, + 251, + 185, + 300, + 1501, + 31794, + 254, + 1525, + 1022, + 457, + 3973, + 11, + 937, + 32628, + 2231, + 185, + 300, + 90373, + 13, + 14318, + 7, + 2458, + 28, + 2229, + 252, + 25, + 334, + 6449, + 7, + 82, + 654, + 252, + 1509, + 185, + 251, + 185, + 300, + 972, + 90373, + 185, + 185, + 2, + 18460, + 8175, + 25, + 185, + 5673, + 24350, + 62, + 2502, + 62, + 1805, + 63214, + 8207, + 955, + 440, + 64, + 955, + 440, + 48950, + 36448, + 2318, + 17131, + 8207, + 7290, + 185, + 5673, + 24350, + 62, + 2502, + 62, + 1805, + 63214, + 356, + 955, + 440, + 64, + 955, + 440, + 48950, + 955, + 440, + 2253, + 36448, + 2318, + 17131, + 356, + 955, + 440, + 2253, + 7290, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 5131, + 245, + 1525, + 46950, + 276, + 6226, + 636, + 14404, + 366, + 8788, + 25239, + 285, + 937, + 17314, + 254, + 9325, + 14404, + 1244, + 245, + 2385, + 2131, + 1157, + 344, + 17314, + 457, + 3973, + 1022, + 285, + 937, + 32628, + 2231, + 13, + 429, + 2030, + 14318, + 63, + 2052, + 317, + 1222, + 327, + 36279, + 11, + 588, + 31149, + 254, + 3632, + 1835, + 280, + 5023, + 366, + 5929, + 8726, + 13, + 100001 + ], + "generated_token_ids_sha256": "214637cf12a9862d672977eeb39e4d69d24eace9bada75c612f654bff1dceae5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to implement the `sorted_list_sum` function that meets the following requirements:\n\n1. It accepts a list of strings.\n2. It removes any string with an odd length from the list.\n3. It sorts the remaining strings first by their length and then alphabetically if lengths are equal.\n4. It returns the sorted list of strings.\n\nHere's the implementation of the function:\n\n```python\ndef sorted_list_sum(lst):\n # Filter out strings with odd lengths\n lst = [s for s in lst if len(s) % 2 == 0]\n \n # Sort the list first by length, then alphabetically\n lst.sort(key=lambda s: (len(s), s))\n \n return lst\n\n# Example usage:\nassert sorted_list_sum([\"aa\", \"a\", \"aaa\"]) == [\"aa\"]\nassert sorted_list_sum([\"ab\", \"a\", \"aaa\", \"cd\"]) == [\"ab\", \"cd\"]\n```\n\nThis function uses a list comprehension to filter out strings with odd lengths and then sorts the remaining strings using a custom key function that sorts by length first and then alphabetically. The `sort` method is used for sorting, which maintains the original order of items with equal keys.", + "text_sha256": "f07b67ee0efe747280df6b63c11acc38b033a29ca9b1efdac6fc78a7c9835b2b", + "uniform_steps_consumed": 289, + "uniform_uint64_prefix_sha256": "6d745560be325a7e1ff3cc7dba1852f8b8a8fe098938f4c661c42223a7f29668", + "uniform_uint64_first_eight_hex": [ + "2a6c4ee434b73fe2", + "bc34d3aec4d531da", + "a5ae63c34ce45ee8", + "f7138c0127fce4d7", + "21bead2d7cb6f587", + "5d68137abcd894fa", + "9232eb19b19794de", + "089c3dc575937ba6" + ], + "task_score": { + "candidate_sha256": "715177e91920f3cfc94464af6c0cca1745146de0445bf4efcfceaaadb7c2fefe", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 241, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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+ 48950, + 955, + 440, + 2253, + 36448, + 2318, + 17131, + 356, + 955, + 440, + 2253, + 7290, + 100001 + ], + "generated_token_ids_sha256": "78a43f2715ed6e7b2143776d96a0c1d2418495c5effb0f612491c8a4ef60201b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def sorted_list_sum(lst):\n # Filter out strings with odd lengths\n lst = [word for word in lst if len(word) % 2 == 0]\n \n # Sort by length, then alphabetically if lengths are equal\n lst.sort(key=lambda x: (len(x), x))\n \n return lst\n\n# Test cases\nassert sorted_list_sum([\"aa\", \"a\", \"aaa\"]) == [\"aa\"]\nassert sorted_list_sum([\"ab\", \"a\", \"aaa\", \"cd\"]) == [\"ab\", \"cd\"]", + "text_sha256": "9915c1ae801ab00f0d0c3b47cdde5e713bc933b3d0b1c083281d0e98ed513a54", + "uniform_steps_consumed": 132, + "uniform_uint64_prefix_sha256": "fe0cd3bcf921d9c99d00ae17e7f5ff54c9836c945d6ef4fb12da1830d521ccdf", + "uniform_uint64_first_eight_hex": [ + "2a6c4ee434b73fe2", + "bc34d3aec4d531da", + "a5ae63c34ce45ee8", + "f7138c0127fce4d7", + "21bead2d7cb6f587", + "5d68137abcd894fa", + "9232eb19b19794de", + "089c3dc575937ba6" + ], + "task_score": { + "candidate_sha256": "d40cd829ec01ea38599bc4c766af9c4ad5f5210753f8308a45c0fce83c1fa735", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "HumanEval/102", + "domain": "code", + "label": "Python code", + "within_domain_index": 31, + "selection_rank": "285d2858f6c6758e66af36954d25c5cf8a846e1f7f2cbe1b11c5ecae0af80263", + "source_text_sha256": "15652ca300e14ab83ca395d57a5b770c1d13e4aa2a900b10d6aabc6a77d05223", + "source_characters": 315, + "source_tokens": 104, + "prompt_tokens_by_condition": { + "s0_eos": 129, + "s1_eos": 145, + "s0_period": 129, + "s1_period": 145 + }, + "batch_prompt_tokens_after_left_padding": 145, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 10839173915558834, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "a74cb8664a54f79f1849326bec6664d55ce451b1e7bc4e9cd0c84c7dcbff1ff5", + "cuda_device_sha256": [ + "4ec1242341ff7063102a7663512f2273c4fdc84ef51f0fa40d4f4b9a0194d7e4" + ], + "cuda_combined_sha256": "e6340d8b8ed1df01e64b507d1ff927ba5748559c1b086e24d616f4fd4de4a527" + }, + "rng_state_after": { + "cpu_sha256": "a74cb8664a54f79f1849326bec6664d55ce451b1e7bc4e9cd0c84c7dcbff1ff5", + "cuda_device_sha256": [ + "4ec1242341ff7063102a7663512f2273c4fdc84ef51f0fa40d4f4b9a0194d7e4" + ], + "cuda_combined_sha256": "e6340d8b8ed1df01e64b507d1ff927ba5748559c1b086e24d616f4fd4de4a527" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 237, + "uniform_uint64_sha256": "ed48e7975bc16a044a725acbf6e7e11a984ad12a85fdc3f1bdbfba349c2dec5e", + "uniform_uint64_first_eight_hex": [ + "f48d4e16d1e3eb5e", + "8affb6125535317d", + "1ca869ff08df70a0", + "93eb1f99badb1cde", + "2b4459379c227791", + "dcb7540a4c5ba5df", + "4d416e61bebfd951", + "642cb266988e7b6e" + ], + "uniform_float32_first_eight": [ + 0.955281138420105, + 0.5429643392562866, + 0.11194479465484619, + 0.5778064727783203, + 0.1690116673707962, + 0.8621723651885986, + 0.3017796576023102, + 0.3913070261478424 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 42.27615752100246, + "peak_cuda_memory_allocated_bytes": 28762786304, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 129, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "fe4dccc09d5da99258a7f7d430fcf171edeba084e5538f9c3b9cd1c825994eee", + "generated_tokens": 214, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 4352, + 62, + 6485, + 7, + 87, + 11, + 320, + 1780, + 185, + 300, + 1501, + 35914, + 254, + 3044, + 1236, + 1604, + 276, + 570, + 16, + 185, + 300, + 3044, + 62, + 8589, + 403, + 570, + 16, + 185, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 3169, + 473, + 1376, + 276, + 320, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 87, + 11, + 320, + 919, + 207, + 16, + 1780, + 185, + 391, + 1501, + 7361, + 565, + 254, + 1604, + 317, + 1236, + 185, + 391, + 565, + 460, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 595, + 1501, + 13167, + 254, + 3044, + 1236, + 1604, + 565, + 254, + 1648, + 1604, + 317, + 6146, + 285, + 1236, + 185, + 595, + 565, + 460, + 1879, + 3044, + 62, + 8589, + 25, + 185, + 903, + 3044, + 62, + 8589, + 403, + 460, + 185, + 185, + 300, + 1501, + 7898, + 254, + 3044, + 1236, + 1604, + 185, + 300, + 972, + 3044, + 62, + 8589, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 855, + 254, + 3169, + 473, + 2030, + 87, + 63, + 276, + 2030, + 88, + 63, + 334, + 66534, + 8, + 285, + 13575, + 565, + 1319, + 1604, + 317, + 1236, + 13, + 1273, + 359, + 317, + 11, + 359, + 14180, + 565, + 359, + 317, + 6146, + 853, + 254, + 1648, + 6059, + 1236, + 1604, + 1503, + 13, + 1273, + 359, + 317, + 11, + 359, + 8961, + 254, + 6059, + 1236, + 1604, + 13, + 1273, + 642, + 1236, + 1604, + 317, + 1503, + 279, + 254, + 3169, + 11, + 359, + 7578, + 2030, + 12, + 16, + 13557, + 100001 + ], + "generated_token_ids_sha256": "d447e53cf6b53b67fa0e955b4d728df01a914e48fde68f4d62efcbcd219ba38e", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef choose_num(x, y):\n # Initialize the max even number to -1\n max_even = -1\n\n # Iterate over the range from x to y\n for i in range(x, y + 1):\n # Check if the number is even\n if i % 2 == 0:\n # Update the max even number if the current number is greater and even\n if i > max_even:\n max_even = i\n\n # Return the max even number\n return max_even\n```\n\nThis function works by iterating over the range from `x` to `y` (inclusive) and checking if each number is even. If it is, it checks if it is greater than the current maximum even number found. If it is, it updates the maximum even number. If no even number is found in the range, it returns `-1`.", + "text_sha256": "3c7de7b453eac720044f19e5bee6751bafe481d18a7acc35989a27781c4753c6", + "uniform_steps_consumed": 214, + "uniform_uint64_prefix_sha256": "3ca44b646fb256b3bd1cdf4c6d8d5ec55d4587f9a3406b1ec8a224922d1f9d2b", + "uniform_uint64_first_eight_hex": [ + "f48d4e16d1e3eb5e", + "8affb6125535317d", + "1ca869ff08df70a0", + "93eb1f99badb1cde", + "2b4459379c227791", + "dcb7540a4c5ba5df", + "4d416e61bebfd951", + "642cb266988e7b6e" + ], + "task_score": { + "candidate_sha256": "069c6adc497fb7a0e632eacfc51bdd09a1912577c304e3b42866a2ae5917be94", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 145, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "97bdf59127dc02e3474f82b423789573a1c4e3a1bd62ba9f4d699ba5940d7515", + "generated_tokens": 192, + "generated_token_ids": [ + 4462, + 6, + 82, + 254, + 12974, + 2985, + 327, + 254, + 1157, + 2030, + 29800, + 62, + 6485, + 33244, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 4352, + 62, + 6485, + 7, + 87, + 11, + 320, + 1780, + 185, + 300, + 1501, + 35914, + 254, + 1230, + 276, + 570, + 16, + 185, + 300, + 1230, + 403, + 570, + 16, + 185, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 3169, + 473, + 320, + 276, + 1376, + 366, + 245, + 3458, + 280, + 570, + 16, + 185, + 300, + 327, + 1183, + 279, + 3169, + 7, + 88, + 11, + 1376, + 12, + 16, + 11, + 570, + 16, + 1780, + 185, + 391, + 1501, + 1273, + 254, + 1604, + 317, + 1236, + 11, + 3979, + 254, + 1230, + 185, + 391, + 565, + 1183, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 595, + 1230, + 403, + 1183, + 185, + 595, + 2973, + 185, + 185, + 300, + 972, + 1230, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 5872, + 473, + 254, + 1225, + 280, + 254, + 3169, + 334, + 88, + 8, + 285, + 6546, + 29517, + 276, + 254, + 1330, + 280, + 254, + 3169, + 334, + 87, + 654, + 13575, + 1319, + 1604, + 276, + 1019, + 565, + 359, + 6, + 82, + 1236, + 13, + 1273, + 359, + 13373, + 274, + 1236, + 1604, + 11, + 359, + 16905, + 636, + 280, + 254, + 7832, + 285, + 7578, + 344, + 1604, + 372, + 254, + 1230, + 13, + 1273, + 359, + 2845, + 6, + 83, + 1275, + 688, + 1236, + 5750, + 11, + 359, + 7578, + 570, + 16, + 13, + 100001 + ], + "generated_token_ids_sha256": "ddd4e52d97eb6c6d7f7068b555e0d48cb9c6bcd033beae35fdfef7fd57f03ca8", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here's the Python code for the function `choose_num`:\n\n```python\ndef choose_num(x, y):\n # Initialize the result to -1\n result = -1\n\n # Iterate over the range from y to x with a step of -1\n for num in range(y, x-1, -1):\n # If the number is even, update the result\n if num % 2 == 0:\n result = num\n break\n\n return result\n```\n\nThis function works by starting from the end of the range (y) and moving backwards to the start of the range (x), checking each number to see if it's even. If it finds an even number, it breaks out of the loop and returns that number as the result. If it doesn't find any even numbers, it returns -1.", + "text_sha256": "b7fb9254581ecc0e887d21a7a9b44d2140ed0bae91678c2ef3620a93021e9098", + "uniform_steps_consumed": 192, + "uniform_uint64_prefix_sha256": "65b83b680b0f12d912e25be0c5c0e3c7fa30a1af00714f1a280fab731cbfab6e", + "uniform_uint64_first_eight_hex": [ + "f48d4e16d1e3eb5e", + "8affb6125535317d", + "1ca869ff08df70a0", + "93eb1f99badb1cde", + "2b4459379c227791", + "dcb7540a4c5ba5df", + "4d416e61bebfd951", + "642cb266988e7b6e" + ], + "task_score": { + "candidate_sha256": "ccb07eb5823dbf1de5007b596e2270d27721ca7677244524cd11913adfd8febe", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 129, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "de08049376d52aa9687e92c49bc63e633b7ba262b2667ee025baaaf2fe00b76b", + "generated_tokens": 237, + "generated_token_ids": [ + 4462, + 317, + 245, + 12974, + 3418, + 327, + 254, + 2066, + 25, + 185, + 185, + 10897, + 11338, + 185, + 1558, + 4352, + 62, + 6485, + 7, + 87, + 11, + 320, + 1780, + 185, + 300, + 1501, + 35914, + 254, + 3044, + 62, + 6485, + 276, + 570, + 16, + 185, + 300, + 3044, + 62, + 6485, + 403, + 570, + 16, + 185, + 185, + 300, + 1501, + 30068, + 387, + 855, + 254, + 3169, + 473, + 1376, + 276, + 320, + 185, + 300, + 327, + 460, + 279, + 3169, + 7, + 87, + 11, + 320, + 919, + 207, + 16, + 1780, + 185, + 391, + 1501, + 1273, + 254, + 1604, + 317, + 1236, + 185, + 391, + 565, + 460, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 595, + 1501, + 13167, + 3044, + 62, + 6485, + 565, + 254, + 1648, + 1604, + 317, + 5579, + 285, + 6146, + 853, + 207, + 15, + 185, + 595, + 565, + 460, + 1879, + 3044, + 62, + 6485, + 285, + 460, + 1879, + 207, + 15, + 25, + 185, + 903, + 3044, + 62, + 6485, + 403, + 460, + 185, + 185, + 300, + 1501, + 7898, + 254, + 3044, + 62, + 6485, + 185, + 300, + 972, + 3044, + 62, + 6485, + 185, + 10897, + 185, + 185, + 1567, + 1157, + 2722, + 457, + 7502, + 1130, + 855, + 254, + 3169, + 473, + 1376, + 276, + 320, + 334, + 66534, + 8, + 285, + 13575, + 1319, + 1604, + 276, + 1019, + 565, + 359, + 6, + 82, + 1236, + 13, + 1273, + 359, + 317, + 11, + 359, + 14180, + 565, + 359, + 6, + 82, + 6146, + 853, + 254, + 1648, + 3044, + 62, + 6485, + 285, + 6146, + 853, + 207, + 15, + 334, + 580, + 4945, + 14108, + 207, + 15, + 633, + 1273, + 359, + 317, + 11, + 359, + 8961, + 3044, + 62, + 6485, + 13, + 1273, + 642, + 1236, + 1604, + 317, + 1503, + 279, + 254, + 3169, + 11, + 3044, + 62, + 6485, + 7544, + 570, + 16, + 285, + 254, + 1157, + 7578, + 570, + 16, + 13, + 100001 + ], + "generated_token_ids_sha256": "4bfba503871a408b5f163de41abcd4a0dc25f2146f677fab84b833999ef43388", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Here is a Python solution for the problem:\n\n```python\ndef choose_num(x, y):\n # Initialize the max_num to -1\n max_num = -1\n\n # Iterate over the range from x to y\n for i in range(x, y + 1):\n # If the number is even\n if i % 2 == 0:\n # Update max_num if the current number is larger and greater than 0\n if i > max_num and i > 0:\n max_num = i\n\n # Return the max_num\n return max_num\n```\n\nThis function works by iterating over the range from x to y (inclusive) and checking each number to see if it's even. If it is, it checks if it's greater than the current max_num and greater than 0 (to avoid returning 0). If it is, it updates max_num. If no even number is found in the range, max_num remains -1 and the function returns -1.", + "text_sha256": "9e9f9b8df52c3c94b49bc2565191bae258f0395da257efe27c4f6d55dd2a4b13", + "uniform_steps_consumed": 237, + "uniform_uint64_prefix_sha256": "ed48e7975bc16a044a725acbf6e7e11a984ad12a85fdc3f1bdbfba349c2dec5e", + "uniform_uint64_first_eight_hex": [ + "f48d4e16d1e3eb5e", + "8affb6125535317d", + "1ca869ff08df70a0", + "93eb1f99badb1cde", + "2b4459379c227791", + "dcb7540a4c5ba5df", + "4d416e61bebfd951", + "642cb266988e7b6e" + ], + "task_score": { + "candidate_sha256": "6651cbe5fa1437910a1d3c0d2e1eabfbac6c25858bd5fc7dccf5834955425c5d", + "python_ast_parse": true, + "parse_error": null, + "code_executed": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 145, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "a89e5e0cf1dfe8bd00cce6150395d08bd6c69d16a4e9d80a23752b68c3c93ce2", + "generated_tokens": 133, + "generated_token_ids": [ + 977, + 4352, + 62, + 6485, + 7, + 87, + 11, + 320, + 1780, + 185, + 300, + 327, + 1183, + 279, + 3169, + 7, + 88, + 11, + 1376, + 11, + 570, + 16, + 1780, + 185, + 391, + 565, + 1183, + 3028, + 207, + 17, + 2318, + 207, + 15, + 25, + 185, + 595, + 972, + 1183, + 185, + 300, + 972, + 570, + 16, + 185, + 185, + 2, + 6517, + 3863, + 185, + 4134, + 7, + 29800, + 62, + 6485, + 7, + 16, + 17, + 11, + 207, + 16, + 20, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 207, + 16, + 19, + 185, + 4134, + 7, + 29800, + 62, + 6485, + 7, + 16, + 18, + 11, + 207, + 16, + 17, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 570, + 16, + 185, + 4134, + 7, + 29800, + 62, + 6485, + 7, + 16, + 15, + 11, + 207, + 16, + 15, + 1509, + 207, + 1501, + 59545, + 2827, + 25, + 207, + 16, + 15, + 185, + 4134, + 7, + 29800, + 62, + 6485, + 7, + 16, + 11, + 207, + 16, + 1509, + 300, + 1501, + 59545, + 2827, + 25, + 207, + 17, + 100001 + ], + "generated_token_ids_sha256": "e4876c9b1fe1b0521e5db9aee9eb61d4814204c9ef59a3433e41ec80d78ea2b7", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " def choose_num(x, y):\n for num in range(y, x, -1):\n if num % 2 == 0:\n return num\n return -1\n\n# Test cases\nprint(choose_num(12, 15)) # Expected output: 14\nprint(choose_num(13, 12)) # Expected output: -1\nprint(choose_num(10, 10)) # Expected output: 10\nprint(choose_num(1, 1)) # Expected output: 2", + "text_sha256": "039ec7f67ff0d491890fd8ef872b65b656254746bf87426a4d2a966bbca26357", + "uniform_steps_consumed": 133, + "uniform_uint64_prefix_sha256": "3ab65c4a30b62fde9b91b6a5e6b4ea46835b2cfe4e784a28e7f5c5e8318b9af0", + "uniform_uint64_first_eight_hex": [ + "f48d4e16d1e3eb5e", + "8affb6125535317d", + "1ca869ff08df70a0", + "93eb1f99badb1cde", + "2b4459379c227791", + "dcb7540a4c5ba5df", + "4d416e61bebfd951", + "642cb266988e7b6e" + ], + "task_score": { + 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6889, + 254, + 20291, + 438, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "cbf1a78262d6a53733e4567a3ed45d04baa492c3a1c29886b085aab43e28f9f2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser.\nSo, the total amount of fertiliser dispatched was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers.\nSo, the number of trucks that could not deliver was 20 trucks / 4 = 5 trucks.\n\nTherefore, the number of trucks that could deliver the fertiliser to the farmers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "97de02b801796eb63e5c1252f8add33f8d1e3fd8f162670ff628aba5b357182b", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "c88f0414d5acf871b880ef0c84cca55bda2b1fb6ccdaa5209128d61d457d51a3", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + "69ea5b884b6a0571", + "247a75651427de8e", + "9359ca4ed87b496a", + "998012726a554156" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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A quarter of 20 trucks is 20 trucks / 4 = 5 trucks.\n\nThese 5 trucks could not deliver their 5 trucks * 20 tons/truck = 100 tons of fertiliser.\n\nSo, the total amount of fertiliser that reached the farmers is 400 tons - 100 tons = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "c8ac1feee1090a6d354b2d01013a8bb70e83257e183923f551bb25d2bf447dc1", + "uniform_steps_consumed": 170, + "uniform_uint64_prefix_sha256": "f5f18f710d595643a458cac9bc3b571da1e37ea19b7f800619f16747bd903458", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + "69ea5b884b6a0571", + "247a75651427de8e", + "9359ca4ed87b496a", + "998012726a554156" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 131, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "c9871468f54fb12742eb484332b45383b61d6ba4fc0250e2f2d929165251b35b", + "generated_tokens": 206, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 13, + 185, + 10005, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 285, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 185, + 3139, + 11, + 254, + 1604, + 280, + 29120, + 344, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 438, + 207, + 17, + 15, + 29120, + 893, + 207, + 19, + 403, + 207, + 20, + 29120, + 13, + 185, + 185, + 14494, + 11, + 254, + 1604, + 280, + 29120, + 344, + 1027, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 438, + 207, + 17, + 15, + 29120, + 570, + 207, + 20, + 29120, + 403, + 207, + 16, + 20, + 29120, + 13, + 185, + 185, + 7094, + 1319, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "c2faeaca99203b51cffcfbddbd4c6c465fc20fe5249069201240fa8f2fa3dba0", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers.\nSo, the number of trucks that could not deliver the fertilisers was 20 trucks / 4 = 5 trucks.\n\nTherefore, the number of trucks that could deliver the fertilisers to the farmers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "0b4bdbbbdbc7816b7cb807aa3b1a1851330bf8b4e316dc9bdb4e5f849d4d9460", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "c88f0414d5acf871b880ef0c84cca55bda2b1fb6ccdaa5209128d61d457d51a3", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + "69ea5b884b6a0571", + "247a75651427de8e", + "9359ca4ed87b496a", + "998012726a554156" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c2f1b1ae4a81b97e603806b23729d92b118bc3de70c647ae0d91c62f6b6912cc", + "generated_tokens": 186, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 13, + 185, + 10005, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 32, + 8404, + 280, + 254, + 29120, + 661, + 16666, + 28715, + 11, + 558, + 207, + 17, + 15, + 29120, + 893, + 207, + 19, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 549, + 1604, + 280, + 29120, + 344, + 10081, + 11803, + 254, + 33732, + 11384, + 438, + 207, + 17, + 15, + 29120, + 570, + 207, + 20, + 29120, + 403, + 207, + 16, + 20, + 29120, + 13, + 185, + 10005, + 280, + 1069, + 207, + 16, + 20, + 29120, + 11803, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 14494, + 11, + 254, + 3223, + 1604, + 280, + 19121, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 344, + 1492, + 438, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 18, + 15, + 15, + 100001 + ], + "generated_token_ids_sha256": "18792fc3b4667373a6685559983e595def2d7bc0d162729ffff4642695a37289", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\nA quarter of the trucks had mechanical failures, so 20 trucks / 4 = 5 trucks had mechanical failures.\nThe number of trucks that successfully delivered the fertiliser was 20 trucks - 5 trucks = 15 trucks.\nEach of these 15 trucks delivered 20 tons of fertiliser, so the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\nTherefore, the total number of tons of fertiliser that reached the farmers that day was 300 tons.\nThe answer is: 300", + "text_sha256": "3ff81782bd660044306d577f55c0380bc7ee6c9f9bb17509ed4bf08673cfef7b", + "uniform_steps_consumed": 186, + "uniform_uint64_prefix_sha256": "095f9fa7482cd72d98e0c789dabfcafda7f8ee2c3a08d65b9ead272b791fe1e2", + "uniform_uint64_first_eight_hex": [ + "519e82cc29f8c1b6", + "62f4f88df7196c3e", + "2ec4e8fc28c32161", + "10bb431bb8c77ce6", + "69ea5b884b6a0571", + "247a75651427de8e", + "9359ca4ed87b496a", + "998012726a554156" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + } + ] + }, + { + "replicate_index": 1, + "replicate_label": "T1", + "tape_label": "T1", + "base_seed": 399507326, + "run_seed": 5657470158880035476, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "4e2c3f7715738d087c39b3f7a3cc2ff5fdd49bff6b9b9265b5eee4b6ae5fc363", + "cuda_device_sha256": [ + "dd5f7f3c9fa7e1fb6841cffe6ce897e679f1762d0c30529dfec7b832d543a500" + ], + "cuda_combined_sha256": "24b7849f9d4cfb7cb40654629e6be2075b4be80e43fea896b60340497de8ec1a" + }, + "rng_state_after": { + "cpu_sha256": "4e2c3f7715738d087c39b3f7a3cc2ff5fdd49bff6b9b9265b5eee4b6ae5fc363", + "cuda_device_sha256": [ + "dd5f7f3c9fa7e1fb6841cffe6ce897e679f1762d0c30529dfec7b832d543a500" + ], + "cuda_combined_sha256": "24b7849f9d4cfb7cb40654629e6be2075b4be80e43fea896b60340497de8ec1a" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 200, + "uniform_uint64_sha256": "26a5c43486ada8ee1266acb79285dc3245dea22ad851577ac4667cc8bcffc907", + "uniform_uint64_first_eight_hex": [ + "0d435a697446b54f", + "1d8161e03b69ad40", + "57ce90a720c2751f", + "2795736ecd46609d", + "8700656c2906aae7", + "ba956bc55c6ad016", + "3937e949668c7170", + "e5b207448f020dec" + ], + "uniform_float32_first_eight": [ + 0.051808979362249374, + 0.11525546759366989, + 0.34299567341804504, + 0.15462419390678406, + 0.5273497700691223, + 0.7288424968719482, + 0.22350938618183136, + 0.8972477316856384 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 35.20642742101336, + "peak_cuda_memory_allocated_bytes": 28685368832, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 131, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "af8148f2dd065587b6d5a13e8fe115de24ccbdaa6dacd40254d522b17c1ff83b", + "generated_tokens": 136, + "generated_token_ids": [ + 429, + 3223, + 1604, + 280, + 29120, + 56543, + 327, + 9746, + 317, + 207, + 17, + 15, + 13, + 185, + 10005, + 15122, + 317, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 317, + 207, + 17, + 15, + 575, + 207, + 17, + 15, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 32, + 8404, + 280, + 254, + 29120, + 661, + 16666, + 28715, + 11, + 558, + 207, + 17, + 15, + 893, + 207, + 19, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 549, + 1604, + 280, + 29120, + 344, + 10081, + 11803, + 254, + 33732, + 11384, + 317, + 207, + 17, + 15, + 570, + 207, + 20, + 403, + 207, + 16, + 20, + 13, + 185, + 14494, + 11, + 254, + 3223, + 1604, + 280, + 19121, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 317, + 207, + 16, + 20, + 575, + 207, + 17, + 15, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 18, + 15, + 15, + 100001 + ], + "generated_token_ids_sha256": "865332fd5a99d6b9d277f6b3afbf1066ec0bc065f4fa2eb0b96a8665405c5bcc", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The total number of trucks dispatched for delivery is 20.\nEach truck is carrying 20 tons of fertiliser, so the total amount of fertiliser is 20 * 20 = 400 tons.\nA quarter of the trucks had mechanical failures, so 20 / 4 = 5 trucks had mechanical failures.\nThe number of trucks that successfully delivered the fertiliser is 20 - 5 = 15.\nTherefore, the total number of tons of fertiliser that reached the farmers is 15 * 20 = 300 tons.\nThe answer is: 300", + "text_sha256": "8095eddc640b4f878a96e5f57a840ac71c9a1921490cf2da7d497fee1a54a88a", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "1f74d00ad094efbbb9290e791c17963adc74fd4329552cf6ca5c73bab9bc8d90", + "uniform_uint64_first_eight_hex": [ + "0d435a697446b54f", + "1d8161e03b69ad40", + "57ce90a720c2751f", + "2795736ecd46609d", + "8700656c2906aae7", + "ba956bc55c6ad016", + "3937e949668c7170", + "e5b207448f020dec" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6fc9f186b31f6926a443a0d8218e5e92ff09af381a872054c954792ca2d2204f", + "generated_tokens": 200, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 13, + 185, + 10005, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 285, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 1002, + 2456, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 3139, + 11, + 254, + 1604, + 280, + 29120, + 344, + 778, + 2249, + 276, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 438, + 207, + 17, + 15, + 29120, + 570, + 207, + 20, + 29120, + 403, + 207, + 16, + 20, + 29120, + 13, + 185, + 185, + 7094, + 1319, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "965e4a74e8ef4141580dbef88851c0c5e5a22901e938148cd3cd0b5a5ca58972", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers. This means 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nSo, the number of trucks that were able to deliver the fertilisers to the farmers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "0840096fd106e207e73018002cbc1b41d965e80e48b7c1ce813a86cdcc126115", + "uniform_steps_consumed": 200, + "uniform_uint64_prefix_sha256": "26a5c43486ada8ee1266acb79285dc3245dea22ad851577ac4667cc8bcffc907", + "uniform_uint64_first_eight_hex": [ + "0d435a697446b54f", + "1d8161e03b69ad40", + "57ce90a720c2751f", + "2795736ecd46609d", + "8700656c2906aae7", + "ba956bc55c6ad016", + "3937e949668c7170", + "e5b207448f020dec" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 131, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "c9871468f54fb12742eb484332b45383b61d6ba4fc0250e2f2d929165251b35b", + "generated_tokens": 184, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 13, + 185, + 10005, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 13, + 1002, + 2456, + 344, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 7094, + 1069, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 11, + 657, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 2086, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 19, + 15, + 15, + 19121, + 570, + 334, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 8, + 403, + 207, + 19, + 15, + 15, + 19121, + 570, + 207, + 16, + 15, + 15, + 19121, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "893227c3e1f42a0f698c8994308cf07ac0e1faed1fa7f70e3fd62bfcc28177a6", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures. This means that 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nSince these 5 trucks had mechanical failures, they could not deliver the fertilisers to the farmers. So, the total amount of fertiliser that reached the farmers was 400 tons - (5 trucks * 20 tons/truck) = 400 tons - 100 tons = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "391306c34e06f4ad35bd1fae7ab12484a1d06ffd5822e27cf7eac44533021337", + "uniform_steps_consumed": 184, + "uniform_uint64_prefix_sha256": "028c8fe586e2103859890afd3fe0a03ddd9ecd8b3da9fedf283e752ce3f2d9a4", + "uniform_uint64_first_eight_hex": [ + "0d435a697446b54f", + "1d8161e03b69ad40", + "57ce90a720c2751f", + "2795736ecd46609d", + "8700656c2906aae7", + "ba956bc55c6ad016", + "3937e949668c7170", + "e5b207448f020dec" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c2f1b1ae4a81b97e603806b23729d92b118bc3de70c647ae0d91c62f6b6912cc", + "generated_tokens": 194, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 11, + 1319, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 13, + 2086, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 56543, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 13, + 1002, + 2456, + 344, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 7094, + 1069, + 29120, + 661, + 16666, + 28715, + 11, + 657, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 7536, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 19, + 15, + 15, + 19121, + 570, + 334, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 8, + 403, + 207, + 19, + 15, + 15, + 19121, + 570, + 207, + 16, + 15, + 15, + 19121, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 11, + 254, + 3223, + 1604, + 280, + 19121, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 344, + 1492, + 438, + 628, + 63962, + 90, + 18, + 15, + 15, + 759, + 19121, + 13, + 100001 + ], + "generated_token_ids_sha256": "4fd00d4843126277c303bcbd8aa3246e9905921df85e50905f0a1cc5a0b94a45", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks, each carrying 20 tons of fertiliser. So, the total amount of fertiliser dispatched was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures. This means that 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nSince these trucks had mechanical failures, they could not deliver the fertilisers to the farmers. Therefore, the total amount of fertiliser that reached the farmers was 400 tons - (5 trucks * 20 tons/truck) = 400 tons - 100 tons = 300 tons.\n\nSo, the total number of tons of fertiliser that reached the farmers that day was $\\boxed{300}$ tons.", + "text_sha256": "1f0e7005896ad8e34133c95a33c5afbed013c552b9021e7558b9ccfc16d1249c", + "uniform_steps_consumed": 194, + "uniform_uint64_prefix_sha256": "cfb9748f53205704c6bd3c90b6deea4e2460d6146eb6970c7131fdbbde4b90b5", + "uniform_uint64_first_eight_hex": [ + "0d435a697446b54f", + "1d8161e03b69ad40", + "57ce90a720c2751f", + "2795736ecd46609d", + "8700656c2906aae7", + "ba956bc55c6ad016", + "3937e949668c7170", + "e5b207448f020dec" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + } + ] + }, + { + "replicate_index": 2, + "replicate_label": "T2", + "tape_label": "T2", + "base_seed": 405284229, + "run_seed": 7831189000618624358, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "aa321ecb8c89070bb5f051faf0b297eb843ee3117f99b988c13623df2b658fab", + "cuda_device_sha256": [ + "ec6906ed0720b7c25f70bfd9d568eea009dd4bed5275707275355f786bb4c7fd" + ], + "cuda_combined_sha256": "590c766e34ef91e8138e5bb5f5024f36d3f21c81028a429c493fc55e526ae423" + }, + "rng_state_after": { + "cpu_sha256": "aa321ecb8c89070bb5f051faf0b297eb843ee3117f99b988c13623df2b658fab", + "cuda_device_sha256": [ + "ec6906ed0720b7c25f70bfd9d568eea009dd4bed5275707275355f786bb4c7fd" + ], + "cuda_combined_sha256": "590c766e34ef91e8138e5bb5f5024f36d3f21c81028a429c493fc55e526ae423" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 212, + "uniform_uint64_sha256": "ad6fb432a5502b0237a2acd9d6baadbb988ebb58080d63abad8cc91582f50e9d", + "uniform_uint64_first_eight_hex": [ + "1a5d98076cb3efa2", + "26a148be946c7e46", + "e9b1d7500818df4d", + "0fd6485f4ba3f9bf", + "fe354466f50e19d9", + "3b5eb7c26c3e8b9e", + "a4284696d61597ca", + "86cdbfc0d83cf652" + ], + "uniform_float32_first_eight": [ + 0.10299062728881836, + 0.1508985012769699, + 0.9128698706626892, + 0.06186344474554062, + 0.9930002689361572, + 0.23191402852535248, + 0.641239583492279, + 0.5265769958496094 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 32.561383782012854, + "peak_cuda_memory_allocated_bytes": 28711912448, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 131, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "af8148f2dd065587b6d5a13e8fe115de24ccbdaa6dacd40254d522b17c1ff83b", + "generated_tokens": 199, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 11, + 1319, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 13, + 2086, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 56543, + 317, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 2195, + 1063, + 60522, + 20570, + 2149, + 254, + 4921, + 344, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 285, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 1002, + 2456, + 344, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 549, + 29120, + 344, + 1216, + 441, + 463, + 16666, + 28715, + 778, + 207, + 17, + 15, + 29120, + 570, + 207, + 20, + 29120, + 403, + 207, + 16, + 20, + 29120, + 13, + 185, + 185, + 7094, + 1319, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 317, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "33449267e98cd61305224eda0cecb2d2f38ec5d2b483e48cf47af76fe11c491f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery, each carrying 20 tons of fertiliser. So, the total amount of fertiliser dispatched is 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, Mr Hezekiah got the news that a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers. This means that 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nThe trucks that did not have mechanical failures were 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers is 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "5fb29d46d9c02913559f4e2ca4675580806dcc475a827edc9aa48d1a55a1de16", + "uniform_steps_consumed": 199, + "uniform_uint64_prefix_sha256": "6d2eef54433a77fb51f4f1d8fe2208072bade0a0d6a0b3682021150e28899751", + "uniform_uint64_first_eight_hex": [ + "1a5d98076cb3efa2", + "26a148be946c7e46", + "e9b1d7500818df4d", + "0fd6485f4ba3f9bf", + "fe354466f50e19d9", + "3b5eb7c26c3e8b9e", + "a4284696d61597ca", + "86cdbfc0d83cf652" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6fc9f186b31f6926a443a0d8218e5e92ff09af381a872054c954792ca2d2204f", + "generated_tokens": 182, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 13, + 185, + 10005, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 558, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 13, + 1002, + 2456, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 7094, + 1069, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 11, + 657, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 2086, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 19, + 15, + 15, + 19121, + 570, + 207, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 570, + 207, + 16, + 15, + 15, + 19121, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "a6814b83683fca88ca314766da972c4821939bd0b9c917e8d7d075b2de3b0fc1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser, so the total amount of fertiliser was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures. This means 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nSince these 5 trucks had mechanical failures, they could not deliver the fertilisers to the farmers. So, the total amount of fertiliser that reached the farmers was 400 tons - 5 trucks * 20 tons/truck = 400 tons - 100 tons = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "2176c28c8573e636615425898472639dbfcdd3902daaf20ba7568d20b2cf5d71", + "uniform_steps_consumed": 182, + "uniform_uint64_prefix_sha256": "b43adf4723894e3f6643186103f2397a4ea082eec28e5386eaefc17a434a47d4", + "uniform_uint64_first_eight_hex": [ + "1a5d98076cb3efa2", + "26a148be946c7e46", + "e9b1d7500818df4d", + "0fd6485f4ba3f9bf", + "fe354466f50e19d9", + "3b5eb7c26c3e8b9e", + "a4284696d61597ca", + "86cdbfc0d83cf652" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 131, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "c9871468f54fb12742eb484332b45383b61d6ba4fc0250e2f2d929165251b35b", + "generated_tokens": 180, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 11, + 1319, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 13, + 2086, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 56543, + 317, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 285, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 1002, + 2456, + 344, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 7094, + 1069, + 207, + 20, + 29120, + 1027, + 441, + 7908, + 704, + 33732, + 34317, + 11, + 254, + 33732, + 34317, + 344, + 6889, + 254, + 20291, + 418, + 207, + 19, + 15, + 15, + 19121, + 570, + 334, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 8, + 403, + 207, + 19, + 15, + 15, + 19121, + 570, + 207, + 16, + 15, + 15, + 19121, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "ebdd6843c3b817c24fcfb75ddb69053a6823b75e75262c7a326b39c50606a483", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery, each carrying 20 tons of fertiliser. So, the total amount of fertiliser dispatched is 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers. This means that 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nSince these 5 trucks could not deliver their fertilisers, the fertilisers that reached the farmers are 400 tons - (5 trucks * 20 tons/truck) = 400 tons - 100 tons = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "34d2967f4062cbeb6a44bed9af087c3b154c79fd4e21269e9095d6d2cf82302a", + "uniform_steps_consumed": 180, + "uniform_uint64_prefix_sha256": "fd7d9c08387dcf56d50f4b50100ddb2f4af807a0a3b0cdcae88dac29025d73fd", + "uniform_uint64_first_eight_hex": [ + "1a5d98076cb3efa2", + "26a148be946c7e46", + "e9b1d7500818df4d", + "0fd6485f4ba3f9bf", + "fe354466f50e19d9", + "3b5eb7c26c3e8b9e", + "a4284696d61597ca", + "86cdbfc0d83cf652" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c2f1b1ae4a81b97e603806b23729d92b118bc3de70c647ae0d91c62f6b6912cc", + "generated_tokens": 212, + "generated_token_ids": [ + 2195, + 1063, + 60522, + 20570, + 56543, + 207, + 17, + 15, + 29120, + 327, + 9746, + 11, + 1319, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 13, + 2086, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 56543, + 438, + 207, + 17, + 15, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 19, + 15, + 15, + 19121, + 13, + 185, + 185, + 12201, + 3821, + 1166, + 254, + 29120, + 661, + 31334, + 11, + 2195, + 1063, + 60522, + 20570, + 2149, + 254, + 4921, + 344, + 245, + 8404, + 280, + 254, + 1604, + 280, + 284, + 256, + 2228, + 56543, + 327, + 9746, + 661, + 16666, + 28715, + 285, + 1027, + 441, + 7908, + 254, + 33732, + 34317, + 276, + 254, + 20291, + 13, + 1002, + 2456, + 344, + 207, + 16, + 14, + 19, + 575, + 207, + 17, + 15, + 29120, + 403, + 207, + 20, + 29120, + 661, + 16666, + 28715, + 13, + 185, + 185, + 549, + 29120, + 344, + 1216, + 441, + 463, + 16666, + 28715, + 778, + 207, + 17, + 15, + 29120, + 570, + 207, + 20, + 29120, + 403, + 207, + 16, + 20, + 29120, + 13, + 185, + 185, + 7094, + 1319, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 11, + 254, + 3223, + 1604, + 280, + 19121, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 344, + 1492, + 438, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "95e8523a66e21da7a6c0b08886449fcbd4cf4a7da3d458252c5a47b11d024549", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery, each carrying 20 tons of fertiliser. So, the total amount of fertiliser dispatched was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, Mr Hezekiah got the news that a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers. This means that 1/4 * 20 trucks = 5 trucks had mechanical failures.\n\nThe trucks that did not have mechanical failures were 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo, the total number of tons of fertiliser that reached the farmers that day was $\\boxed{300}$.", + "text_sha256": "5fcd08b17a6cba59d096b356c5448f9e7ab3944b4e052621e1a07008cb3fcb60", + "uniform_steps_consumed": 212, + "uniform_uint64_prefix_sha256": "ad6fb432a5502b0237a2acd9d6baadbb988ebb58080d63abad8cc91582f50e9d", + "uniform_uint64_first_eight_hex": [ + "1a5d98076cb3efa2", + "26a148be946c7e46", + "e9b1d7500818df4d", + "0fd6485f4ba3f9bf", + "fe354466f50e19d9", + "3b5eb7c26c3e8b9e", + "a4284696d61597ca", + "86cdbfc0d83cf652" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + } + ] + }, + { + "replicate_index": 3, + 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of trucks that could not deliver the fertilisers was 20 trucks / 4 = 5 trucks.\n\nTherefore, the number of trucks that could deliver the fertilisers to the farmers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "6c4d9b2f80f17b7dfd925fbcb51f4b2b8fecc32dd31c4fc4b7dd9d5d93099ad7", + "uniform_steps_consumed": 209, + "uniform_uint64_prefix_sha256": "a5c53d2bac6c07aedf7e000ea11d87a6b52887ca567811bba189616d960c4385", + "uniform_uint64_first_eight_hex": [ + "a60a350d3204c8a4", + "b895603d1ee1da81", + "6c2fad027324e215", + "9835408f2c29e71a", + "1ff414f4662a14f2", + "703cecad70957b18", + "fcf4dd44721d5b81", + "3e981ca324bed6de" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + 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20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser.\nSo, the total amount of fertiliser dispatched was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures and could not deliver the fertilisers to the farmers.\nSo, the number of trucks that could not deliver the fertilisers was 20 trucks / 4 = 5 trucks.\n\nTherefore, the number of trucks that could deliver the fertilisers was 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "bb77b692c5dc10e17c7eeec88eb14dd7947960081b41d3ab0d723e2e1ee203f2", + "uniform_steps_consumed": 206, + "uniform_uint64_prefix_sha256": "181ae9bd29770a4801bea9d88bfeb59886d830e25e0e1fffedebc8eb452605e7", + "uniform_uint64_first_eight_hex": [ + 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the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "6c4d9b2f80f17b7dfd925fbcb51f4b2b8fecc32dd31c4fc4b7dd9d5d93099ad7", + "uniform_steps_consumed": 209, + "uniform_uint64_prefix_sha256": "a5c53d2bac6c07aedf7e000ea11d87a6b52887ca567811bba189616d960c4385", + "uniform_uint64_first_eight_hex": [ + "a60a350d3204c8a4", + "b895603d1ee1da81", + "6c2fad027324e215", + "9835408f2c29e71a", + "1ff414f4662a14f2", + "703cecad70957b18", + "fcf4dd44721d5b81", + "3e981ca324bed6de" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 147, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c2f1b1ae4a81b97e603806b23729d92b118bc3de70c647ae0d91c62f6b6912cc", + 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29120, + 13, + 185, + 185, + 7094, + 1319, + 15122, + 438, + 13552, + 207, + 17, + 15, + 19121, + 280, + 33732, + 11384, + 11, + 254, + 3223, + 3744, + 280, + 33732, + 11384, + 344, + 6889, + 254, + 20291, + 438, + 207, + 16, + 20, + 29120, + 575, + 207, + 17, + 15, + 19121, + 14, + 652, + 2440, + 403, + 207, + 18, + 15, + 15, + 19121, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "f1c6704b73d907b8e4e1f2e4bd4dbd9d42526989c951d5d1aa9b3e512942e38d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Mr Hezekiah dispatched 20 trucks for delivery.\nEach truck was carrying 20 tons of fertiliser.\nSo, the total amount of fertiliser dispatched was 20 trucks * 20 tons/truck = 400 tons.\n\nTwo hours after the trucks had departed, a quarter of the number of lorries dispatched for delivery had mechanical failures.\nSo, the number of trucks that had mechanical failures was 20 trucks / 4 = 5 trucks.\n\nThe trucks that did not have mechanical failures were 20 trucks - 5 trucks = 15 trucks.\n\nSince each truck was carrying 20 tons of fertiliser, the total amount of fertiliser that reached the farmers was 15 trucks * 20 tons/truck = 300 tons.\n\nSo the answer is $\\boxed{300}$.", + "text_sha256": "843b4d8cedfbfc7e9f121cd7e23bcf08d8018e8f58a9d3d5aad9180c5044283a", + "uniform_steps_consumed": 189, + "uniform_uint64_prefix_sha256": "442d1577ad6d36eed12ee150068978b97230f7ab340c995df65d83a6a2bb08f5", + "uniform_uint64_first_eight_hex": [ + "a60a350d3204c8a4", + "b895603d1ee1da81", + "6c2fad027324e215", + "9835408f2c29e71a", + "1ff414f4662a14f2", + "703cecad70957b18", + "fcf4dd44721d5b81", + "3e981ca324bed6de" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "300", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1228", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 1, 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"8dfbd3a09662bdda99b1e5ffdb4316711377156936350589e1df2ffab8c4dd73", + "cuda_device_sha256": [ + "1b503b7df75f7f2e241bfeba72c6859c364c9bb7317cf30055870b8f3c90e40d" + ], + "cuda_combined_sha256": "d88569dcd66cb526a6f8bc88282475191fe78eb35aad91c08c30d5c1d71ccec0" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 270, + "uniform_uint64_sha256": "e5d321f3a043fc69c73a17bb51947b657c0f1facc9717c8f2aea1465909d16ef", + "uniform_uint64_first_eight_hex": [ + "915f6189c2e60bcd", + "c53ec03a9dfd17be", + "eb404a327603623a", + "880ebdbf48a14d90", + "f27ef545db4d371b", + "232ee33542f02b61", + "f429a9a2ce3f730b", + "dde9bb2c3d7aea6c" + ], + "uniform_float32_first_eight": [ + 0.5678616762161255, + 0.7704887390136719, + 0.9189497232437134, + 0.5314749479293823, + 0.947249710559845, + 0.1374341994524002, + 0.9537607431411743, + 0.8668476939201355 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 43.0111164469854, + "peak_cuda_memory_allocated_bytes": 28680940032, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 59, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "32ada50df0fccf416d8c91e21dbb4bdd2246fcd7afaa04a69f1f38fc50f8ca5c", + "generated_tokens": 233, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 1604, + 280, + 27003, + 1319, + 1491, + 643, + 372, + 4446, + 25, + 185, + 185, + 12, + 73770, + 403, + 324, + 185, + 12, + 61250, + 403, + 1783, + 185, + 12, + 17654, + 403, + 721, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 25, + 185, + 185, + 16, + 13, + 73770, + 643, + 207, + 16, + 17, + 17966, + 27003, + 853, + 61250, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 324, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 17, + 13, + 61250, + 643, + 207, + 23, + 691, + 27003, + 853, + 17654, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 1783, + 403, + 721, + 919, + 207, + 23, + 185, + 18, + 13, + 73770, + 643, + 207, + 17, + 22, + 27003, + 11, + 558, + 395, + 481, + 22463, + 324, + 403, + 207, + 17, + 22, + 881, + 254, + 1022, + 6337, + 25, + 207, + 17, + 22, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 19, + 13, + 6121, + 3562, + 254, + 6337, + 473, + 3458, + 207, + 18, + 327, + 1783, + 11, + 395, + 752, + 25, + 1783, + 403, + 207, + 17, + 22, + 919, + 207, + 16, + 17, + 403, + 207, + 18, + 24, + 185, + 20, + 13, + 4201, + 395, + 481, + 22463, + 1783, + 403, + 207, + 18, + 24, + 881, + 254, + 1864, + 6337, + 25, + 207, + 18, + 24, + 403, + 721, + 919, + 207, + 23, + 185, + 21, + 13, + 6121, + 3562, + 254, + 6337, + 473, + 3458, + 207, + 20, + 327, + 721, + 11, + 395, + 752, + 25, + 721, + 403, + 207, + 18, + 24, + 570, + 207, + 23, + 403, + 207, + 18, + 16, + 185, + 185, + 3139, + 11, + 17654, + 643, + 207, + 18, + 16, + 27003, + 13, + 7536, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "2e48132c5b40ddc338949503212b84f1b2c3f37e4ac2cf2e208aa3f778493544", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the number of paintings each person has as follows:\n\n- Samantha = S\n- Shelley = Sh\n- Kim = K\n\nFrom the problem, we know that:\n\n1. Samantha has 12 fewer paintings than Shelley, so we can write this as: S = Sh - 12\n2. Shelley has 8 more paintings than Kim, so we can write this as: Sh = K + 8\n3. Samantha has 27 paintings, so we can substitute S = 27 into the first equation: 27 = Sh - 12\n4. Solving the equation from step 3 for Sh, we get: Sh = 27 + 12 = 39\n5. Now we can substitute Sh = 39 into the second equation: 39 = K + 8\n6. Solving the equation from step 5 for K, we get: K = 39 - 8 = 31\n\nSo, Kim has 31 paintings. Therefore, the answer is $\\boxed{31}$.", + "text_sha256": "16fff022454c3f5dca59bca8ef5045a87858fdd7eb2179dbd1062ee998640de5", + "uniform_steps_consumed": 233, + "uniform_uint64_prefix_sha256": "76eae48ccb44624eea0c2e3aa6eef740681fdb356ecc1245b5e3c58cab85324e", + "uniform_uint64_first_eight_hex": [ + "915f6189c2e60bcd", + "c53ec03a9dfd17be", + "eb404a327603623a", + "880ebdbf48a14d90", + "f27ef545db4d371b", + "232ee33542f02b61", + "f429a9a2ce3f730b", + "dde9bb2c3d7aea6c" + ], + "task_score": { + "gold_final": "31", + "predicted_final": "31", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 75, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "f30e793e92ed3c09cac2e94c1d37a636ca60e1ff8d4e540bd4bb32914bc9f728", + "generated_tokens": 236, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 1604, + 280, + 27003, + 1319, + 1491, + 643, + 372, + 4446, + 25, + 185, + 185, + 12, + 73770, + 403, + 324, + 185, + 12, + 61250, + 403, + 1783, + 185, + 12, + 17654, + 403, + 721, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 25, + 185, + 185, + 16, + 13, + 73770, + 643, + 207, + 16, + 17, + 17966, + 27003, + 853, + 61250, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 324, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 17, + 13, + 61250, + 643, + 207, + 23, + 691, + 27003, + 853, + 17654, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 1783, + 403, + 721, + 919, + 207, + 23, + 185, + 18, + 13, + 73770, + 643, + 207, + 17, + 22, + 27003, + 11, + 558, + 395, + 481, + 22463, + 324, + 403, + 207, + 17, + 22, + 881, + 254, + 1022, + 6337, + 25, + 207, + 17, + 22, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 19, + 13, + 6121, + 3562, + 254, + 6337, + 473, + 3458, + 207, + 18, + 327, + 1783, + 11, + 395, + 752, + 25, + 1783, + 403, + 207, + 17, + 22, + 919, + 207, + 16, + 17, + 403, + 207, + 18, + 24, + 185, + 20, + 13, + 4201, + 395, + 481, + 22463, + 1783, + 403, + 207, + 18, + 24, + 881, + 254, + 1864, + 6337, + 276, + 1275, + 721, + 25, + 207, + 18, + 24, + 403, + 721, + 919, + 207, + 23, + 185, + 21, + 13, + 6121, + 3562, + 254, + 6337, + 473, + 3458, + 207, + 20, + 327, + 721, + 11, + 395, + 752, + 25, + 721, + 403, + 207, + 18, + 24, + 570, + 207, + 23, + 403, + 207, + 18, + 16, + 185, + 185, + 3139, + 11, + 17654, + 643, + 207, + 18, + 16, + 27003, + 13, + 7536, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "c218feb5a172da9660753ed26f6e2d059bcf2650fecc480763b74501f587ac53", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the number of paintings each person has as follows:\n\n- Samantha = S\n- Shelley = Sh\n- Kim = K\n\nFrom the problem, we know that:\n\n1. Samantha has 12 fewer paintings than Shelley, so we can write this as: S = Sh - 12\n2. Shelley has 8 more paintings than Kim, so we can write this as: Sh = K + 8\n3. Samantha has 27 paintings, so we can substitute S = 27 into the first equation: 27 = Sh - 12\n4. Solving the equation from step 3 for Sh, we get: Sh = 27 + 12 = 39\n5. Now we can substitute Sh = 39 into the second equation to find K: 39 = K + 8\n6. Solving the equation from step 5 for K, we get: K = 39 - 8 = 31\n\nSo, Kim has 31 paintings. Therefore, the answer is $\\boxed{31}$.", + "text_sha256": "88c081e0af8fb143bde3a66a0c916fcae74d6067b7e611bf8b09da8da3266458", + "uniform_steps_consumed": 236, + "uniform_uint64_prefix_sha256": "cdd30a0e621bc091f2e2f572473d08cfbda273cf57d1f98657fde13784f1c46b", + "uniform_uint64_first_eight_hex": [ + "915f6189c2e60bcd", + "c53ec03a9dfd17be", + "eb404a327603623a", + "880ebdbf48a14d90", + "f27ef545db4d371b", + "232ee33542f02b61", + "f429a9a2ce3f730b", + "dde9bb2c3d7aea6c" + ], + "task_score": { + "gold_final": "31", + "predicted_final": "31", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 59, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "945934580628dcd1edf2a85b5c83c6afb72ffde9ddec26f5568f6780c953ee22", + "generated_tokens": 264, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 1604, + 280, + 27003, + 1319, + 1491, + 643, + 372, + 4446, + 25, + 185, + 185, + 12, + 73770, + 403, + 324, + 185, + 12, + 61250, + 403, + 1783, + 185, + 12, + 17654, + 403, + 721, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 25, + 185, + 185, + 16, + 13, + 73770, + 643, + 207, + 16, + 17, + 17966, + 27003, + 853, + 61250, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 324, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 17, + 13, + 61250, + 643, + 207, + 23, + 691, + 27003, + 853, + 17654, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 1783, + 403, + 721, + 919, + 207, + 23, + 185, + 185, + 1380, + 839, + 1006, + 344, + 73770, + 643, + 207, + 17, + 22, + 27003, + 11, + 558, + 395, + 481, + 22463, + 324, + 403, + 207, + 17, + 22, + 881, + 254, + 1022, + 6337, + 25, + 185, + 185, + 17, + 22, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 185, + 1898, + 1275, + 254, + 1604, + 280, + 27003, + 61250, + 643, + 11, + 395, + 481, + 8708, + 437, + 6337, + 327, + 1783, + 25, + 185, + 185, + 2972, + 403, + 207, + 17, + 22, + 919, + 207, + 16, + 17, + 403, + 207, + 18, + 24, + 185, + 185, + 4388, + 344, + 395, + 1006, + 61250, + 643, + 207, + 18, + 24, + 27003, + 11, + 395, + 481, + 22463, + 1783, + 403, + 207, + 18, + 24, + 881, + 254, + 1864, + 6337, + 276, + 1275, + 254, + 1604, + 280, + 27003, + 17654, + 643, + 25, + 185, + 185, + 18, + 24, + 403, + 721, + 919, + 207, + 23, + 185, + 185, + 1898, + 8708, + 327, + 721, + 11, + 395, + 53909, + 207, + 23, + 473, + 1572, + 9226, + 280, + 254, + 6337, + 25, + 185, + 185, + 42, + 403, + 207, + 18, + 24, + 570, + 207, + 23, + 403, + 207, + 18, + 16, + 185, + 185, + 3139, + 11, + 17654, + 643, + 207, + 18, + 16, + 27003, + 13, + 185, + 185, + 14494, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "378dae8e10afdad038768ade39a412987e31c21ea4a5828d161220752173b410", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the number of paintings each person has as follows:\n\n- Samantha = S\n- Shelley = Sh\n- Kim = K\n\nFrom the problem, we know that:\n\n1. Samantha has 12 fewer paintings than Shelley, so we can write this as: S = Sh - 12\n2. Shelley has 8 more paintings than Kim, so we can write this as: Sh = K + 8\n\nWe also know that Samantha has 27 paintings, so we can substitute S = 27 into the first equation:\n\n27 = Sh - 12\n\nTo find the number of paintings Shelley has, we can solve this equation for Sh:\n\nSh = 27 + 12 = 39\n\nNow that we know Shelley has 39 paintings, we can substitute Sh = 39 into the second equation to find the number of paintings Kim has:\n\n39 = K + 8\n\nTo solve for K, we subtract 8 from both sides of the equation:\n\nK = 39 - 8 = 31\n\nSo, Kim has 31 paintings.\n\nTherefore, the answer is $\\boxed{31}$.", + "text_sha256": "da1a7e295676ac8970fd4b07ea9e5c176196a11ad055f65a4d07b6f0d9fbcc8b", + "uniform_steps_consumed": 264, + "uniform_uint64_prefix_sha256": "35392d52029b70f4b09748fb9bcbc44ad5b8d6f086b6586dabeb732d7276a6ee", + "uniform_uint64_first_eight_hex": [ + "915f6189c2e60bcd", + "c53ec03a9dfd17be", + "eb404a327603623a", + "880ebdbf48a14d90", + "f27ef545db4d371b", + "232ee33542f02b61", + "f429a9a2ce3f730b", + "dde9bb2c3d7aea6c" + ], + "task_score": { + "gold_final": "31", + "predicted_final": "31", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "a3debe06e713b24eeba50430c4ab26a96682361c0ad76de71fc9a9e5c319efda", + "generated_tokens": 270, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 1604, + 280, + 27003, + 1319, + 1491, + 643, + 366, + 704, + 4310, + 25, + 324, + 327, + 73770, + 11, + 1783, + 327, + 61250, + 11, + 285, + 721, + 327, + 17654, + 13, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 25, + 185, + 185, + 16, + 13, + 73770, + 643, + 207, + 16, + 17, + 17966, + 27003, + 853, + 61250, + 25, + 324, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 17, + 13, + 61250, + 643, + 207, + 23, + 691, + 27003, + 853, + 17654, + 25, + 1783, + 403, + 721, + 919, + 207, + 23, + 185, + 18, + 13, + 73770, + 643, + 207, + 17, + 22, + 27003, + 25, + 324, + 403, + 207, + 17, + 22, + 185, + 185, + 4388, + 11, + 395, + 481, + 938, + 1069, + 8935, + 276, + 1275, + 636, + 946, + 1313, + 27003, + 17654, + 643, + 13, + 185, + 185, + 6306, + 11, + 1632, + 6, + 82, + 22463, + 254, + 1437, + 280, + 324, + 279, + 254, + 1022, + 6337, + 366, + 207, + 17, + 22, + 25, + 185, + 185, + 17, + 22, + 403, + 1783, + 570, + 207, + 16, + 17, + 185, + 185, + 1898, + 1275, + 254, + 1437, + 280, + 1783, + 11, + 395, + 962, + 207, + 16, + 17, + 276, + 1572, + 9226, + 280, + 254, + 6337, + 25, + 185, + 185, + 2972, + 403, + 207, + 17, + 22, + 919, + 207, + 16, + 17, + 403, + 207, + 18, + 24, + 185, + 185, + 4388, + 344, + 395, + 1006, + 61250, + 643, + 207, + 18, + 24, + 27003, + 11, + 395, + 481, + 22463, + 1783, + 279, + 254, + 1864, + 6337, + 276, + 1275, + 721, + 25, + 185, + 185, + 18, + 24, + 403, + 721, + 919, + 207, + 23, + 185, + 185, + 1898, + 1275, + 254, + 1437, + 280, + 721, + 11, + 395, + 53909, + 207, + 23, + 473, + 1572, + 9226, + 280, + 254, + 6337, + 25, + 185, + 185, + 42, + 403, + 207, + 18, + 24, + 570, + 207, + 23, + 403, + 207, + 18, + 16, + 185, + 185, + 3139, + 11, + 17654, + 643, + 207, + 18, + 16, + 27003, + 13, + 185, + 185, + 14494, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "8ab456c76e1d8876bd6f14e802a4e5b86ce7e9b3f1edc2101fd7ae930a7907c2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the number of paintings each person has with their initial: S for Samantha, Sh for Shelley, and K for Kim.\n\nFrom the problem, we know that:\n\n1. Samantha has 12 fewer paintings than Shelley: S = Sh - 12\n2. Shelley has 8 more paintings than Kim: Sh = K + 8\n3. Samantha has 27 paintings: S = 27\n\nNow, we can use these equations to find out how many paintings Kim has.\n\nFirst, let's substitute the value of S in the first equation with 27:\n\n27 = Sh - 12\n\nTo find the value of Sh, we add 12 to both sides of the equation:\n\nSh = 27 + 12 = 39\n\nNow that we know Shelley has 39 paintings, we can substitute Sh in the second equation to find K:\n\n39 = K + 8\n\nTo find the value of K, we subtract 8 from both sides of the equation:\n\nK = 39 - 8 = 31\n\nSo, Kim has 31 paintings.\n\nTherefore, the answer is $\\boxed{31}$.", + "text_sha256": "6106ac3d22da1338fb973a0a8ac464d07e1061caf9662de6a554e5cf50a28e2e", + "uniform_steps_consumed": 270, + "uniform_uint64_prefix_sha256": "e5d321f3a043fc69c73a17bb51947b657c0f1facc9717c8f2aea1465909d16ef", + "uniform_uint64_first_eight_hex": [ + "915f6189c2e60bcd", + "c53ec03a9dfd17be", + "eb404a327603623a", + "880ebdbf48a14d90", + "f27ef545db4d371b", + "232ee33542f02b61", + "f429a9a2ce3f730b", + 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+ 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "201d42085f0810b269f5641a727c04f1aa17c1ebff4fc7d964189b6a2e720d9c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Kim has 3 existing clients and is talking to 5 potential clients, so he has a total of 3 + 5 = 8 clients.\nEach client will need 2 bottles of bleach, so he will need 8 clients x 2 bottles = 16 bottles of bleach.\nHe will also need 8 clients x 2 packs of cloths = 16 packs of cloths.\nThe cost of bleach will be 16 bottles x $2 = $32.\nThe cost of cloths will be 16 packs x $5 = $80.\nHis total expenses will be $32 + $80 = $112.\nHis total income each week will be $92.\nHis profit will be $92 - $112 = -$20.\nKim will make a loss of $20 each week.\nThe answer is: 20", + "text_sha256": "f7a453bea96adab530fd26cdb4a58424ea1d74fcde6596100fa884236ad5d507", + "uniform_steps_consumed": 193, + "uniform_uint64_prefix_sha256": 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11126, + 13518, + 1319, + 2562, + 543, + 330, + 363, + 24, + 17, + 570, + 363, + 22, + 17, + 403, + 363, + 17, + 15, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "b747a7676701b408f7a8533b535a4f4998e4415cfbbef298fec66b08644b3424", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Kim has 3 existing clients and is talking to 5 potential clients, so he has a total of 3 + 5 = 8 clients.\nEach client will need 2 bottles of bleach, so he will need 8 * 2 = 16 bottles of bleach.\nHe will also need 1 pack of cloths for each client, so he will need 8 * 1 = 8 packs of cloths.\nThe cost of bleach is $2 each, so the total cost of bleach will be 16 * $2 = $32.\nThe cost of cloths is $5 each, so the total cost of cloths will be 8 * $5 = $40.\nHis total expenses each week will be $32 + $40 = $72.\nHis total income each week will be $92.\nHis profit each week will be $92 - $72 = $20.\nThe answer is: 20", + "text_sha256": 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1439, + 586, + 3223, + 9880, + 285, + 3223, + 16722, + 11, + 558, + 586, + 13518, + 543, + 330, + 363, + 24, + 17, + 570, + 363, + 22, + 17, + 403, + 363, + 17, + 15, + 13, + 185, + 14494, + 11, + 17654, + 543, + 1099, + 245, + 13518, + 280, + 363, + 17, + 15, + 1319, + 2562, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "1c98102f4c1e62a8b3c4eb6571320e6f1a84d5ca1bc703818f454c936c7eb03a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Kim has 3 existing clients and is talking to 5 potential clients, so he has a total of 3 + 5 = 8 clients.\nEach client will need 2 bottles of bleach, so he will need 8 * 2 = 16 bottles of bleach.\nHe will also need 8 packs of cloths, so he will need 8 * 1 = 8 packs of cloths.\nThe cost of bleach will be 16 * $2 = $32.\nThe cost of cloths will be 8 * $5 = $40.\nHis total expenses will be $32 + $40 = $72.\nHis total income each week will be $92.\nHis profit will be the difference between his total income and total expenses, so his profit will be $92 - $72 = $20.\nTherefore, Kim will make a profit of $20 each week.\nThe answer is: 20", + "text_sha256": "d60cf3b8a55eb87ae6f1f482da01c34823f179fafe66b14f78f66c88fadf05ad", + "uniform_steps_consumed": 207, + "uniform_uint64_prefix_sha256": "81ef34b2c5aab9a10d00169d61822d6be782556d59f1cf32e97fbd203f237004", + "uniform_uint64_first_eight_hex": [ + "9ff5362bb61ff0e5", + "0c0c476e2b61caa6", + "c9d9e304b500276b", + "c93819fa05acc286", + "e35ec0420f1d628e", + "1ce97c923dc59e5c", + "dc49d2f65125dc87", + "b745178ff3266b5e" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "20", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 171, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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cloths for each client.\n\nFor each client, Kim needs 2 bottles of bleach and a pack of cloths.\n\nThe cost of bleach per bottle is $2, so for 2 bottles, it will be 2 * $2 = $4.\n\nThe cost of a pack of cloths is $5.\n\nSo, the total cost for bleach and cloths for each client is $4 + $5 = $9.\n\nNow, let's calculate the total cost for all 5 potential clients.\n\nThe total cost for all 5 clients will be 5 * $9 = $45.\n\nKim's total income each week is $92.\n\nSo, his profit each week will be his total income minus his total expenses.\n\nProfit = Total income - Total expenses\nProfit = $92 - $45 = $47\n\nTherefore, Kim will make a profit of $47 each week.\n\nSo the answer is $\\boxed{47}$.", + "text_sha256": "6c51dc432263a5bee8b8cf31c2c2fdbfd507448fc6880a91685f9d93ba9d0655", + "uniform_steps_consumed": 229, + "uniform_uint64_prefix_sha256": "101b2473e448b19b8f67ee9a3eb95b783b0fb00c364c743f5b1cd0cdab607db9", + "uniform_uint64_first_eight_hex": [ + "9ff5362bb61ff0e5", + "0c0c476e2b61caa6", 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then add them all together.\n\n1. The first side takes 5 minutes.\n2. The second side takes twice as long as the first, so it takes 5 minutes * 2 = 10 minutes.\n3. The third side also takes twice as long as the first, so it takes 5 minutes * 2 = 10 minutes.\n4. The fourth side takes half as long as the first, so it takes 5 minutes / 2 = 2.5 minutes.\n5. The fifth side also takes half as long as the first, so it takes 5 minutes / 2 = 2.5 minutes.\n\nNow, we add all these times together to find out how long it takes John to get to all the sides of the Rubik's cube:\n\n5 minutes (first side) + 10 minutes (second side) + 10 minutes (third side) + 2.5 minutes (fourth side) + 2.5 minutes (fifth side) = 30 minutes.\n\nSo, the Rubik's cube takes $\\boxed{30}$ minutes.", + "text_sha256": "cc6bfbe235df453316a3c031d7e0055eefb9bc0cc2bf6ea73139b3808a4d56bd", + "uniform_steps_consumed": 272, + "uniform_uint64_prefix_sha256": "7d5a7138cef468885b09704092db5ac30679028089613ebc650a96189433faac", + "uniform_uint64_first_eight_hex": [ + "838696dd6e8b0124", + "a04bfddbc809bc52", + "d55eb9d1d48cdfcc", + "816c2ba7afa1b082", + "6272796120b338d2", + "c99578e351d6f416", + "bee36f02a87b4522", + "2b83f0c3a1018b40" + ], + "task_score": { + "gold_final": "30", + "predicted_final": "30", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 115, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "9826fc7ee5c2b9677c860ff687740351402c53395073d397a387bb812035d3ed", + "generated_tokens": 282, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 1022, + 1275, + 636, + 946, + 1234, + 359, + 4497, + 3326, + 276, + 8708, + 1319, + 2387, + 280, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 11, + 285, + 937, + 962, + 768, + 521, + 581, + 13, + 185, + 185, + 16, + 13, + 429, + 1022, + 2387, + 4497, + 207, + 20, + 4063, + 13, + 185, + 17, + 13, + 429, + 1864, + 285, + 4443, + 9226, + 1319, + 1529, + 9682, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 657, + 1529, + 207, + 17, + 575, + 207, + 20, + 403, + 207, + 16, + 15, + 4063, + 1319, + 13, + 5512, + 745, + 418, + 984, + 280, + 1069, + 9226, + 11, + 657, + 1529, + 207, + 17, + 575, + 207, + 16, + 15, + 403, + 207, + 17, + 15, + 4063, + 279, + 3223, + 13, + 185, + 18, + 13, + 429, + 11363, + 2387, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 359, + 4497, + 207, + 20, + 893, + 207, + 17, + 403, + 207, + 17, + 13, + 20, + 4063, + 13, + 185, + 19, + 13, + 429, + 18097, + 2387, + 839, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 359, + 4497, + 207, + 20, + 893, + 207, + 17, + 403, + 207, + 17, + 13, + 20, + 4063, + 13, + 185, + 20, + 13, + 429, + 25485, + 285, + 1562, + 2387, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 359, + 4497, + 207, + 20, + 893, + 207, + 17, + 403, + 207, + 17, + 13, + 20, + 4063, + 13, + 5512, + 745, + 418, + 984, + 280, + 1069, + 9226, + 11, + 657, + 1529, + 207, + 17, + 575, + 207, + 17, + 13, + 20, + 403, + 207, + 20, + 4063, + 279, + 3223, + 13, + 185, + 185, + 39726, + 521, + 1069, + 2602, + 2854, + 11, + 395, + 752, + 207, + 20, + 919, + 207, + 17, + 15, + 919, + 207, + 17, + 13, + 20, + 919, + 207, + 17, + 13, + 20, + 919, + 207, + 20, + 403, + 207, + 18, + 20, + 4063, + 13, + 185, + 185, + 3139, + 254, + 3223, + 766, + 3326, + 4497, + 276, + 8708, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 317, + 628, + 63962, + 90, + 18, + 20, + 759, + 4063, + 13, + 100001 + ], + "generated_token_ids_sha256": "7a7a9679e49c71b20ffb2152a0ca99fc3d5be386e82c12819a84d9a1674775c9", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to first find out how long it takes John to solve each side of the Rubik's cube, and then add them all up.\n\n1. The first side takes 5 minutes.\n2. The second and third sides each take twice as long as the first side, so they take 2 * 5 = 10 minutes each. Since there are two of these sides, they take 2 * 10 = 20 minutes in total.\n3. The fourth side takes half as long as the first side, so it takes 5 / 2 = 2.5 minutes.\n4. The fifth side also takes half as long as the first side, so it takes 5 / 2 = 2.5 minutes.\n5. The sixth and last side takes half as long as the first side, so it takes 5 / 2 = 2.5 minutes. Since there are two of these sides, they take 2 * 2.5 = 5 minutes in total.\n\nAdding all these times together, we get 5 + 20 + 2.5 + 2.5 + 5 = 35 minutes.\n\nSo the total time John takes to solve the Rubik's cube is $\\boxed{35}$ minutes.", + "text_sha256": "ca7a50e89ed804f4c799cae67338e61a345de758e5fb89198162ee16aa04fbbd", + "uniform_steps_consumed": 282, + "uniform_uint64_prefix_sha256": "3e75d713405740897038ce719e45945fb498ae9281ff6fac731ad42194026def", + "uniform_uint64_first_eight_hex": [ + "838696dd6e8b0124", + "a04bfddbc809bc52", + "d55eb9d1d48cdfcc", + "816c2ba7afa1b082", + "6272796120b338d2", + "c99578e351d6f416", + "bee36f02a87b4522", + "2b83f0c3a1018b40" + ], + "task_score": { + "gold_final": "30", + "predicted_final": "35", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 99, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "44c836c323e7e7a07a5153325738d347e28b910234dfb1a8883184546ecadd9f", + "generated_tokens": 297, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 766, + 359, + 4497, + 327, + 3326, + 276, + 8708, + 1319, + 2387, + 280, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 25, + 185, + 185, + 16, + 13, + 429, + 1022, + 2387, + 4497, + 207, + 20, + 4063, + 13, + 185, + 17, + 13, + 429, + 1864, + 2387, + 4497, + 9682, + 372, + 1234, + 372, + 254, + 1022, + 11, + 558, + 359, + 4497, + 207, + 17, + 575, + 207, + 20, + 403, + 207, + 16, + 15, + 4063, + 13, + 185, + 18, + 13, + 429, + 4443, + 2387, + 839, + 4497, + 9682, + 372, + 1234, + 372, + 254, + 1022, + 11, + 558, + 359, + 4497, + 207, + 17, + 575, + 207, + 20, + 403, + 207, + 16, + 15, + 4063, + 13, + 185, + 19, + 13, + 429, + 11363, + 2387, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 11, + 558, + 359, + 4497, + 207, + 20, + 893, + 207, + 17, + 403, + 207, + 17, + 13, + 20, + 4063, + 13, + 185, + 20, + 13, + 429, + 18097, + 2387, + 839, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 11, + 558, + 359, + 4497, + 207, + 20, + 893, + 207, + 17, + 403, + 207, + 17, + 13, + 20, + 4063, + 13, + 185, + 21, + 13, + 429, + 25485, + 2387, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 18097, + 11, + 558, + 359, + 4497, + 207, + 17, + 13, + 20, + 893, + 207, + 17, + 403, + 207, + 16, + 13, + 17, + 20, + 4063, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 962, + 581, + 521, + 254, + 2602, + 276, + 1275, + 254, + 3223, + 766, + 359, + 4497, + 327, + 3326, + 276, + 8708, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 25, + 185, + 185, + 20, + 334, + 6102, + 2387, + 8, + 919, + 207, + 16, + 15, + 334, + 9345, + 2387, + 8, + 919, + 207, + 16, + 15, + 334, + 20783, + 2387, + 8, + 919, + 207, + 17, + 13, + 20, + 334, + 58239, + 2387, + 8, + 919, + 207, + 17, + 13, + 20, + 334, + 73195, + 2387, + 8, + 919, + 207, + 16, + 13, + 17, + 20, + 334, + 22276, + 393, + 2387, + 8, + 403, + 207, + 18, + 16, + 13, + 17, + 20, + 4063, + 185, + 185, + 3139, + 11, + 359, + 4497, + 3326, + 207, + 18, + 16, + 13, + 17, + 20, + 4063, + 276, + 8708, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 13, + 100001 + ], + "generated_token_ids_sha256": "04248251fa8628e61b121eddf76e3632cd0fa7f40624e9f69329ccb084695a86", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the time it takes for John to solve each side of the Rubik's cube:\n\n1. The first side takes 5 minutes.\n2. The second side takes twice as long as the first, so it takes 2 * 5 = 10 minutes.\n3. The third side also takes twice as long as the first, so it takes 2 * 5 = 10 minutes.\n4. The fourth side takes half as long as the first, so it takes 5 / 2 = 2.5 minutes.\n5. The fifth side also takes half as long as the first, so it takes 5 / 2 = 2.5 minutes.\n6. The sixth side takes half as long as the fifth, so it takes 2.5 / 2 = 1.25 minutes.\n\nNow, let's add up all the times to find the total time it takes for John to solve the Rubik's cube:\n\n5 (first side) + 10 (second side) + 10 (third side) + 2.5 (fourth side) + 2.5 (fifth side) + 1.25 (sixth side) = 31.25 minutes\n\nSo, it takes John 31.25 minutes to solve the Rubik's cube.", + "text_sha256": "bcd1063b061641cc83d0172c4a77c4907186114a09847e337b8252a561d75326", + "uniform_steps_consumed": 297, + "uniform_uint64_prefix_sha256": "f88bc308f3581da5aae5fcac87651a4acbe5908958adb562f36ff87daa233e31", + "uniform_uint64_first_eight_hex": [ + "838696dd6e8b0124", + "a04bfddbc809bc52", + "d55eb9d1d48cdfcc", + "816c2ba7afa1b082", + "6272796120b338d2", + "c99578e351d6f416", + "bee36f02a87b4522", + "2b83f0c3a1018b40" + ], + "task_score": { + "gold_final": "30", + "predicted_final": "31.25", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 115, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ff4b886b7a2e0289202dd757d2754cc337b6577268f81cdc2ac0b5db5f2edf9f", + "generated_tokens": 280, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 933, + 276, + 6983, + 254, + 3223, + 766, + 359, + 4497, + 327, + 3326, + 276, + 8708, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 13, + 185, + 185, + 16, + 13, + 429, + 1022, + 2387, + 4497, + 207, + 20, + 4063, + 13, + 185, + 17, + 13, + 429, + 1864, + 285, + 4443, + 9226, + 1319, + 1529, + 9682, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 207, + 17, + 575, + 207, + 20, + 403, + 207, + 16, + 15, + 4063, + 13, + 185, + 18, + 13, + 429, + 1562, + 207, + 17, + 9226, + 1319, + 1529, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 207, + 15, + 13, + 20, + 575, + 207, + 20, + 403, + 207, + 17, + 13, + 20, + 4063, + 1319, + 13, + 185, + 19, + 13, + 685, + 3223, + 11, + 254, + 1864, + 11, + 4443, + 11, + 285, + 11363, + 9226, + 1529, + 207, + 16, + 15, + 919, + 207, + 16, + 15, + 919, + 207, + 17, + 13, + 20, + 919, + 207, + 17, + 13, + 20, + 403, + 207, + 17, + 20, + 4063, + 13, + 185, + 20, + 13, + 429, + 18097, + 2387, + 4497, + 3222, + 372, + 1234, + 372, + 254, + 1022, + 2387, + 11, + 558, + 207, + 15, + 13, + 20, + 575, + 207, + 20, + 403, + 207, + 17, + 13, + 20, + 4063, + 13, + 185, + 21, + 13, + 429, + 25485, + 285, + 2328, + 2387, + 4497, + 254, + 1246, + 3744, + 280, + 766, + 372, + 254, + 18097, + 2387, + 11, + 558, + 1913, + 207, + 17, + 13, + 20, + 4063, + 13, + 185, + 185, + 4388, + 11, + 395, + 962, + 581, + 254, + 766, + 359, + 4497, + 327, + 1319, + 2387, + 25, + 185, + 20, + 4063, + 334, + 6102, + 2387, + 8, + 919, + 207, + 17, + 20, + 4063, + 334, + 9345, + 11, + 4443, + 11, + 285, + 11363, + 9226, + 8, + 919, + 207, + 17, + 13, + 20, + 4063, + 334, + 73195, + 2387, + 8, + 919, + 207, + 17, + 13, + 20, + 4063, + 334, + 22276, + 393, + 2387, + 8, + 403, + 207, + 18, + 20, + 4063, + 13, + 185, + 185, + 14494, + 11, + 359, + 4497, + 3326, + 207, + 18, + 20, + 4063, + 276, + 8708, + 254, + 15383, + 1923, + 6, + 82, + 32949, + 13, + 100001 + ], + "generated_token_ids_sha256": "cb7ccb745dd57b38f518b791f09d9d8243c026755ad555696f4669bcb5f5c4e3", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we need to determine the total time it takes for John to solve the Rubik's cube.\n\n1. The first side takes 5 minutes.\n2. The second and third sides each take twice as long as the first side, so 2 * 5 = 10 minutes.\n3. The last 2 sides each take half as long as the first side, so 0.5 * 5 = 2.5 minutes each.\n4. In total, the second, third, and fourth sides take 10 + 10 + 2.5 + 2.5 = 25 minutes.\n5. The fifth side takes half as long as the first side, so 0.5 * 5 = 2.5 minutes.\n6. The sixth and final side takes the same amount of time as the fifth side, so another 2.5 minutes.\n\nNow, we add up the time it takes for each side:\n5 minutes (first side) + 25 minutes (second, third, and fourth sides) + 2.5 minutes (fifth side) + 2.5 minutes (sixth side) = 35 minutes.\n\nTherefore, it takes John 35 minutes to solve the Rubik's cube.", + "text_sha256": "cd57796157e917dc462800d2ae751651df4f5787f9101d782b31f66670944df1", + "uniform_steps_consumed": 280, + "uniform_uint64_prefix_sha256": "af3355c4f99b7c4cf9a0fa4dfaba4e97f2633b14c455a9bae3d0c4173ed06006", + "uniform_uint64_first_eight_hex": [ + "838696dd6e8b0124", + "a04bfddbc809bc52", + "d55eb9d1d48cdfcc", + "816c2ba7afa1b082", + "6272796120b338d2", + "c99578e351d6f416", + "bee36f02a87b4522", + "2b83f0c3a1018b40" + ], + "task_score": { + "gold_final": "30", + "predicted_final": "35", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0676", + "domain": "math", + 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"finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 23.83290740099619, + "peak_cuda_memory_allocated_bytes": 28515046400, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 86, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "bcd935d1e1be918dee1be746b3f4a0f4b7a75925a09d5355d005a0087fb68533", + "generated_tokens": 168, + "generated_token_ids": [ + 53183, + 6, + 82, + 9423, + 317, + 207, + 17, + 14, + 20, + 280, + 254, + 3223, + 3744, + 11, + 558, + 362, + 27585, + 207, + 17, + 14, + 20, + 575, + 363, + 16, + 17, + 15, + 15, + 403, + 363, + 19, + 23, + 15, + 185, + 549, + 9325, + 3744, + 1166, + 53183, + 6, + 82, + 9423, + 317, + 363, + 16, + 17, + 15, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 22, + 17, + 15, + 185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 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2/3 of the remaining amount, so she invested 2/3 * $720 = $480\nThe total amount of Dylan's and Frances' investments is $480 + $480 = $960\nThe rest of the amount, which is Skyler's investment, is $1200 - $960 = $240\nTherefore, Skyler's investment is $240\nThe answer is: 240", + "text_sha256": "9b40314bbd6a43c238cc9276b84a871ea42c3ba0ab15f2dd243192c97757b74c", + "uniform_steps_consumed": 168, + "uniform_uint64_prefix_sha256": "38c4bdd77cfb42aecdae1931881926760c63aa34db9260e8310c194b6172ff55", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + "f0157ded47e00848", + "954ae6135b2144a6", + "6866b86c9a7f34e1", + "37b4d5f1ea96986f", + "22a06b3069c6f579", + "587d52e3b3f570c0", + "7b6ab4c7f94e3d23" + ], + "task_score": { + "gold_final": "240", + "predicted_final": "240", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 102, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "2d38e3d859165414458c2348215fc3ae0e4f34c08d6ac09fb111ec80a4e4a0c3", + "generated_tokens": 147, + "generated_token_ids": [ + 53183, + 6, + 82, + 9423, + 317, + 207, + 17, + 14, + 20, + 280, + 254, + 3223, + 3744, + 11, + 558, + 362, + 27585, + 207, + 17, + 14, + 20, + 575, + 363, + 16, + 17, + 15, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 53183, + 6, + 82, + 9423, + 317, + 363, + 16, + 17, + 15, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 22, + 17, + 15, + 13, + 185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 838, + 27585, + 207, + 17, + 14, + 18, + 575, + 363, + 22, + 17, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 22938, + 6, + 9423, + 317, + 363, + 22, + 17, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 17, + 19, + 15, + 13, + 185, + 49702, + 2580, + 6, + 82, + 9423, + 35054, + 327, + 254, + 1610, + 11, + 558, + 16769, + 2580, + 6, + 82, + 9423, + 317, + 363, + 17, + 19, + 15, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 19, + 15, + 100001 + ], + "generated_token_ids_sha256": "2e79f872a9efd1422b7029855ec2414a48ba82f408c16d85483cad6c943fbb72", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan's investment is 2/5 of the total amount, so he invested 2/5 * $1200 = $480.\nThe remaining amount after Dylan's investment is $1200 - $480 = $720.\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480.\nThe remaining amount after Frances' investment is $720 - $480 = $240.\nSkyler's investment accounted for the rest, so Skyler's investment is $240.\nThe answer is: 240", + "text_sha256": "636a57b08599b3d5b284e2d228063c265ab7e5a1b8cd26110cc90af737f832a9", + "uniform_steps_consumed": 147, + "uniform_uint64_prefix_sha256": "485dbe6710fabc6811c13d3cdd8e40979329c8621b43e3eb57300ec8a0ce5c13", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + "f0157ded47e00848", + "954ae6135b2144a6", + "6866b86c9a7f34e1", + "37b4d5f1ea96986f", + "22a06b3069c6f579", + "587d52e3b3f570c0", + "7b6ab4c7f94e3d23" + ], + "task_score": { + "gold_final": "240", + "predicted_final": "240", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "8fe4d3e06e2505f356910ed51c14db8e427feeda95109fcd54d30375fa5521f0", + "generated_tokens": 147, + "generated_token_ids": [ + 53183, + 6, + 82, + 9423, + 438, + 207, + 17, + 14, + 20, + 280, + 254, + 3223, + 3744, + 11, + 558, + 362, + 27585, + 207, + 17, + 14, + 20, + 575, + 363, + 16, + 17, + 15, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 53183, + 6, + 82, + 9423, + 317, + 363, + 16, + 17, + 15, + 15, 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$720.\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480.\nThe remaining amount after Frances' investment is $720 - $480 = $240.\nSkyler's investment accounted for the rest, so Skyler's investment was $240.\nThe answer is: 240", + "text_sha256": "17a05a06aa13f6ba13ca534dc19dc7c387572bb9f8c6d4c4c28ce35a4896bbe4", + "uniform_steps_consumed": 147, + "uniform_uint64_prefix_sha256": "485dbe6710fabc6811c13d3cdd8e40979329c8621b43e3eb57300ec8a0ce5c13", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + "f0157ded47e00848", + "954ae6135b2144a6", + "6866b86c9a7f34e1", + "37b4d5f1ea96986f", + "22a06b3069c6f579", + "587d52e3b3f570c0", + "7b6ab4c7f94e3d23" + ], + "task_score": { + "gold_final": "240", + "predicted_final": "240", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 102, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "856b10eb1aae2587c4809f25599c83e8d61298f426be08c52597629fd85776ea", + "generated_tokens": 140, + "generated_token_ids": [ + 53183, + 6, + 82, + 9423, + 438, + 207, + 17, + 14, + 20, + 280, + 254, + 3223, + 3744, + 11, + 558, + 362, + 27585, + 207, + 17, + 14, + 20, + 575, + 363, + 16, + 17, + 15, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 9325, + 3744, + 1166, + 53183, + 6, + 82, + 9423, + 317, + 363, + 16, + 17, + 15, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 22, + 17, + 15, + 13, + 185, + 86525, + 937, + 27585, + 207, + 17, + 14, + 18, + 280, + 254, + 9325, + 3744, + 11, + 558, + 838, + 27585, + 207, + 17, + 14, + 18, + 575, + 363, + 22, + 17, + 15, + 403, + 363, + 19, + 23, + 15, + 13, + 185, + 549, + 3744, + 2116, + 276, + 330, + 27585, + 457, + 16769, + 2580, + 317, + 363, + 22, + 17, + 15, + 570, + 363, + 19, + 23, + 15, + 403, + 363, + 17, + 19, + 15, + 13, + 185, + 14494, + 11, + 16769, + 2580, + 6, + 82, + 9423, + 438, + 363, + 17, + 19, + 15, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 19, + 15, + 100001 + ], + "generated_token_ids_sha256": "dc3ff9e25291246c6080c7981c33c81cfcd2aed58dc0342f20477a111ef64601", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan's investment was 2/5 of the total amount, so he invested 2/5 * $1200 = $480.\nThe remaining amount after Dylan's investment is $1200 - $480 = $720.\nFrances then invested 2/3 of the remaining amount, so she invested 2/3 * $720 = $480.\nThe amount left to be invested by Skyler is $720 - $480 = $240.\nTherefore, Skyler's investment was $240.\nThe answer is: 240", + "text_sha256": "b42773967c15d8e430fdf387642edc063d3b3551791335fa05d039ae2140cfd7", + "uniform_steps_consumed": 140, + "uniform_uint64_prefix_sha256": "ad2ed88a2468120be49eaebe76cece14d543b0792f45677fca3230a044c861b2", + "uniform_uint64_first_eight_hex": [ + "0cda588b69be1d63", + "f0157ded47e00848", + "954ae6135b2144a6", + "6866b86c9a7f34e1", + "37b4d5f1ea96986f", + "22a06b3069c6f579", + "587d52e3b3f570c0", + "7b6ab4c7f94e3d23" + ], + "task_score": { + "gold_final": "240", + "predicted_final": "240", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0126", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 5, + "selection_rank": "00b20ae940ac731b073dbf7adae91f69acdb81ecf4d92a0727f9edbdbe14d634", + "source_text_sha256": "d0798145442485f3c0cfcdfd90a7ce1c5d2eb7496d997bc8c3423c1b8e99e49e", + "source_characters": 198, + "source_tokens": 42, + "prompt_tokens_by_condition": { + "s0_eos": 65, + "s1_eos": 81, + "s0_period": 65, + "s1_period": 81 + }, + "batch_prompt_tokens_after_left_padding": 81, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 4974163377388536570, + 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"44bbd1ad17e4f029", + "17b9f8ff48cbf337" + ], + "uniform_float32_first_eight": [ + 0.866263747215271, + 0.6752482652664185, + 0.7924899458885193, + 0.8746137022972107, + 0.10646669566631317, + 0.0499989315867424, + 0.26849088072776794, + 0.09268146753311157 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 8.408092121011578, + "peak_cuda_memory_allocated_bytes": 28268318208, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 65, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "b03025807823dc5b8c0c3ee7b2a3915ae70917ca9e9e195fee2ccb2019167b2e", + "generated_tokens": 72, + "generated_token_ids": [ + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 13, + 185, + 2450, + 839, + 8939, + 207, + 21, + 691, + 8700, + 98540, + 853, + 14447, + 98540, + 11, + 558, + 362, + 8939, + 207, + 18, + 23, + 919, + 207, + 21, + 403, + 207, + 19, + 19, + 8700, + 98540, + 13, + 185, + 774, + 3223, + 11, + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 919, + 207, + 19, + 19, + 8700, + 98540, + 403, + 207, + 23, + 17, + 98540, + 13, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 23, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "6f5a0983307425ce80c43cfe6c9b4938712927151473e0ebf7418197c6853422", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan bought 38 chicken sausages.\nHe also bought 6 more fish sausages than chicken sausages, so he bought 38 + 6 = 44 fish sausages.\nIn total, Dylan bought 38 chicken sausages + 44 fish sausages = 82 sausages.\nSo the answer is $\\boxed{82}$.", + "text_sha256": "b913cb2f5ba502652b48ae621858c4b2c4de23ed5c45fc5d149416e32824625b", + "uniform_steps_consumed": 72, + "uniform_uint64_prefix_sha256": "562d67676c39731938a7080fff2ac2249a7dd0a42bf98a3ce5e2bb7542d927fd", + "uniform_uint64_first_eight_hex": [ + "ddc375d9c9a2fcf3", + "acdd1265ffa3dbd8", + "cae09ecaa03ad713", + "dfe6aed736740372", + "1b4166c6246bfdc5", + "0cccbae2b5afb6fa", + "44bbd1ad17e4f029", + "17b9f8ff48cbf337" + ], + "task_score": { + "gold_final": "82", + "predicted_final": "82", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 81, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "2a3b4625f10e8490b3891f118bf28b391fef966fe19c5d10267c31dfe8278a32", + "generated_tokens": 72, + "generated_token_ids": [ + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 13, + 185, + 2450, + 839, + 8939, + 207, + 21, + 691, + 8700, + 98540, + 853, + 14447, + 98540, + 11, + 558, + 362, + 8939, + 207, + 18, + 23, + 919, + 207, + 21, + 403, + 207, + 19, + 19, + 8700, + 98540, + 13, + 185, + 774, + 3223, + 11, + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 919, + 207, + 19, + 19, + 8700, + 98540, + 403, + 207, + 23, + 17, + 98540, + 13, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 23, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "6f5a0983307425ce80c43cfe6c9b4938712927151473e0ebf7418197c6853422", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan bought 38 chicken sausages.\nHe also bought 6 more fish sausages than chicken sausages, so he bought 38 + 6 = 44 fish sausages.\nIn total, Dylan bought 38 chicken sausages + 44 fish sausages = 82 sausages.\nSo the answer is $\\boxed{82}$.", + "text_sha256": "b913cb2f5ba502652b48ae621858c4b2c4de23ed5c45fc5d149416e32824625b", + "uniform_steps_consumed": 72, + "uniform_uint64_prefix_sha256": "562d67676c39731938a7080fff2ac2249a7dd0a42bf98a3ce5e2bb7542d927fd", + "uniform_uint64_first_eight_hex": [ + "ddc375d9c9a2fcf3", + "acdd1265ffa3dbd8", + "cae09ecaa03ad713", + "dfe6aed736740372", + "1b4166c6246bfdc5", + "0cccbae2b5afb6fa", + "44bbd1ad17e4f029", + "17b9f8ff48cbf337" + ], + "task_score": { + "gold_final": "82", + "predicted_final": "82", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 65, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "5e0d05046ef1af294eeebffd3586159b873f2fafec5eb7121b80d235ffea72f4", + "generated_tokens": 72, + "generated_token_ids": [ + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 13, + 185, + 2450, + 839, + 8939, + 207, + 21, + 691, + 8700, + 98540, + 853, + 14447, + 98540, + 11, + 558, + 362, + 8939, + 207, + 18, + 23, + 919, + 207, + 21, + 403, + 207, + 19, + 19, + 8700, + 98540, + 13, + 185, + 774, + 3223, + 11, + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 919, + 207, + 19, + 19, + 8700, + 98540, + 403, + 207, + 23, + 17, + 98540, + 13, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 23, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "6f5a0983307425ce80c43cfe6c9b4938712927151473e0ebf7418197c6853422", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan bought 38 chicken sausages.\nHe also bought 6 more fish sausages than chicken sausages, so he bought 38 + 6 = 44 fish sausages.\nIn total, Dylan bought 38 chicken sausages + 44 fish sausages = 82 sausages.\nSo the answer is $\\boxed{82}$.", + "text_sha256": "b913cb2f5ba502652b48ae621858c4b2c4de23ed5c45fc5d149416e32824625b", + "uniform_steps_consumed": 72, + "uniform_uint64_prefix_sha256": "562d67676c39731938a7080fff2ac2249a7dd0a42bf98a3ce5e2bb7542d927fd", + "uniform_uint64_first_eight_hex": [ + "ddc375d9c9a2fcf3", + "acdd1265ffa3dbd8", + "cae09ecaa03ad713", + "dfe6aed736740372", + "1b4166c6246bfdc5", + "0cccbae2b5afb6fa", + "44bbd1ad17e4f029", + "17b9f8ff48cbf337" + ], + "task_score": { + "gold_final": "82", + "predicted_final": "82", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 81, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "fd094aa51a52897ae5bad500b09c5237c75837e22b08bfd1aac96749497f5751", + "generated_tokens": 69, + "generated_token_ids": [ + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 13, + 185, + 2450, + 839, + 8939, + 207, + 21, + 691, + 8700, + 98540, + 853, + 14447, + 98540, + 11, + 558, + 362, + 8939, + 207, + 18, + 23, + 919, + 207, + 21, + 403, + 207, + 19, + 19, + 8700, + 98540, + 13, + 185, + 774, + 3223, + 11, + 53183, + 8939, + 207, + 18, + 23, + 14447, + 98540, + 919, + 207, + 19, + 19, + 8700, + 98540, + 403, + 207, + 23, + 17, + 98540, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 23, + 17, + 100001 + ], + "generated_token_ids_sha256": "4513aa0b4ec703ac792b70de8682a289130d88627923b160d0f195877e714522", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Dylan bought 38 chicken sausages.\nHe also bought 6 more fish sausages than chicken sausages, so he bought 38 + 6 = 44 fish sausages.\nIn total, Dylan bought 38 chicken sausages + 44 fish sausages = 82 sausages.\nThe answer is: 82", + "text_sha256": "916b0a45146a1c5a744804855c6b1a25ceade3d8121e2344283fb1f54c5b74a1", + "uniform_steps_consumed": 69, + "uniform_uint64_prefix_sha256": "f81a687db053e063072c977a09df2c85e1470e36623580503db2cc538bceaaca", + "uniform_uint64_first_eight_hex": [ + "ddc375d9c9a2fcf3", + "acdd1265ffa3dbd8", + "cae09ecaa03ad713", + "dfe6aed736740372", + "1b4166c6246bfdc5", + "0cccbae2b5afb6fa", + "44bbd1ad17e4f029", + "17b9f8ff48cbf337" + ], + "task_score": { + "gold_final": "82", + "predicted_final": "82", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0438", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 6, + "selection_rank": "017a97d03b63645963eea1c1f6a69b071b41c2be4d43e3fffd4f1dffa6986cdc", + "source_text_sha256": 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let's find out how many pounds of onions Antoine needs. His recipe calls for 2 pounds of onions, but he likes to double that amount, so he needs 2 * 2 = 4 pounds of onions.\n\nNext, let's find out how much the onions will cost. The onions are on sale for $2.00 a pound, so 4 pounds of onions will cost 4 * $2.00 = $8.00.\n\nNext, let's find out how many boxes of beef stock Antoine needs. His recipe serves 6 people, so he needs 6 / 2 = 3 servings of beef stock.\n\nEach box of beef stock serves 2 people, so Antoine needs 3 / 2 = 1.5 boxes of beef stock. Since he can't buy half a box, he'll need to buy 2 boxes.\n\nNext, let's find out how much the beef stock will cost. Each box of beef stock is on sale for $2.00, so 2 boxes will cost 2 * $2.00 = $4.00.\n\nFinally, let's find out the total cost of the ingredients. The onions cost $8.00 and the beef stock costs $4.00, so the total cost is $8.00 + $4.00 = $12.00.\n\nFinally, let's find out the cost per serving. The soup serves 6 people, so the cost per serving is $12.00 / 6 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "a50a213fdb96bacec45b773e40d0b577e76030e4774ad2b7747b6bf18c427284", + "uniform_steps_consumed": 359, + "uniform_uint64_prefix_sha256": "ac3c30a4a79209342660b834eb04718c03dc7a3b195a32fbdfcd2d700ee03a66", + "uniform_uint64_first_eight_hex": [ + "28ff32db2943d027", + "44f5147fc7578a59", + "c9e7ba2c356ffa8a", + "4129e99133bd5fdc", + "921a08992ccdc56b", + "fe9b77e25dc904fb", + "d0f0e72254d5e5e5", + "6da4f0ebfb535970" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 123, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "101711bb86ba1d58641a8874cead57859020efaa9d1d7e9bd1dfa76a5fb81954", + "generated_tokens": 305, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 13799, + 280, + 32833, + 65627, + 3277, + 13, + 3848, + 11665, + 8104, + 327, + 207, + 17, + 13799, + 280, + 32833, + 11, + 548, + 362, + 14823, + 276, + 4974, + 344, + 3744, + 13, + 2086, + 11, + 362, + 3277, + 207, + 17, + 575, + 207, + 17, + 403, + 207, + 19, + 13799, + 280, + 32833, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 254, + 32833, + 543, + 2295, + 13, + 429, + 32833, + 418, + 331, + 6803, + 327, + 363, + 17, + 13, + 15, + 15, + 245, + 24254, + 11, + 558, + 207, + 19, + 13799, + 280, + 32833, + 543, + 2295, + 207, + 19, + 575, + 363, + 17, + 13, + 15, + 15, + 403, + 363, + 23, + 13, + 15, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 14253, + 280, + 21809, + 6645, + 65627, + 3277, + 13, + 3848, + 11665, + 14672, + 207, + 21, + 1245, + 11, + 558, + 362, + 3277, + 207, + 21, + 893, + 207, + 17, + 403, + 207, + 18, + 85355, + 280, + 21809, + 6645, + 13, + 185, + 185, + 549, + 21809, + 6645, + 317, + 839, + 331, + 6803, + 327, + 363, + 17, + 13, + 15, + 15, + 245, + 4085, + 11, + 558, + 207, + 18, + 14253, + 280, + 21809, + 6645, + 543, + 2295, + 207, + 18, + 575, + 363, + 17, + 13, + 15, + 15, + 403, + 363, + 21, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 254, + 3223, + 2295, + 280, + 254, + 12757, + 13, + 429, + 32833, + 2295, + 363, + 23, + 13, + 15, + 15, + 285, + 254, + 21809, + 6645, + 7025, + 363, + 21, + 13, + 15, + 15, + 11, + 558, + 254, + 3223, + 2295, + 317, + 363, + 23, + 13, + 15, + 15, + 919, + 363, + 21, + 13, + 15, + 15, + 403, + 363, + 16, + 19, + 13, + 15, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 636, + 254, + 2295, + 513, + 12652, + 13, + 429, + 22334, + 14672, + 207, + 21, + 1245, + 11, + 558, + 254, + 2295, + 513, + 12652, + 317, + 363, + 16, + 19, + 13, + 15, + 15, + 893, + 207, + 21, + 403, + 363, + 17, + 13, + 18, + 18, + 334, + 33035, + 276, + 254, + 17016, + 10858, + 633, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "04fca59a335708f47ef2909b49bab2ae7091a9a19326efbde0dbd52ff454fb53", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pounds of onions Antoine needs. His recipe calls for 2 pounds of onions, but he likes to double that amount. So, he needs 2 * 2 = 4 pounds of onions.\n\nNext, let's find out how much the onions will cost. The onions are on sale for $2.00 a pound, so 4 pounds of onions will cost 4 * $2.00 = $8.00.\n\nNow, let's find out how many boxes of beef stock Antoine needs. His recipe serves 6 people, so he needs 6 / 2 = 3 servings of beef stock.\n\nThe beef stock is also on sale for $2.00 a box, so 3 boxes of beef stock will cost 3 * $2.00 = $6.00.\n\nFinally, let's find out the total cost of the ingredients. The onions cost $8.00 and the beef stock costs $6.00, so the total cost is $8.00 + $6.00 = $14.00.\n\nNow, let's find out the cost per serving. The soup serves 6 people, so the cost per serving is $14.00 / 6 = $2.33 (rounded to the nearest integer).\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "e5a6f16733eb90a9977e4b4950267bae1f187bcf88103fcd212440767f834a79", + "uniform_steps_consumed": 305, + "uniform_uint64_prefix_sha256": "942bfd081331330c5775ca3644f13c31528f706f2a7aa6b166f495c9b60dd3ed", + "uniform_uint64_first_eight_hex": [ + "28ff32db2943d027", + "44f5147fc7578a59", + "c9e7ba2c356ffa8a", + "4129e99133bd5fdc", + "921a08992ccdc56b", + "fe9b77e25dc904fb", + "d0f0e72254d5e5e5", + "6da4f0ebfb535970" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 107, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "2b485b7365e70548317ce459d748ea4e2dd7df2619c9b6bf9402210d891689ef", + "generated_tokens": 252, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 13799, + 280, + 32833, + 65627, + 3277, + 13, + 1063, + 14823, + 276, + 4974, + 254, + 3744, + 2424, + 327, + 279, + 254, + 11665, + 11, + 558, + 362, + 3277, + 207, + 17, + 575, + 207, + 17, + 403, + 207, + 19, + 13799, + 280, + 32833, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 254, + 32833, + 543, + 2295, + 13, + 1955, + 418, + 331, + 6803, + 327, + 363, + 17, + 13, + 15, + 15, + 245, + 24254, + 11, + 558, + 207, + 19, + 13799, + 543, + 2295, + 207, + 19, + 575, + 363, + 17, + 13, + 15, + 15, + 403, + 363, + 23, + 13, + 15, + 15, + 13, + 185, + 185, + 11832, + 44850, + 839, + 3277, + 207, + 17, + 14253, + 280, + 21809, + 6645, + 13, + 7915, + 4085, + 317, + 331, + 6803, + 327, + 363, + 17, + 13, + 15, + 15, + 11, + 558, + 207, + 17, + 14253, + 543, + 2295, + 207, + 17, + 575, + 363, + 17, + 13, + 15, + 15, + 403, + 363, + 19, + 13, + 15, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 962, + 254, + 2295, + 280, + 254, + 32833, + 285, + 254, + 21809, + 6645, + 276, + 1275, + 254, + 3223, + 2295, + 280, + 254, + 12757, + 13, + 1002, + 3450, + 276, + 363, + 23, + 13, + 15, + 15, + 919, + 363, + 19, + 13, + 15, + 15, + 403, + 363, + 16, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 254, + 22334, + 7025, + 513, + 12652, + 13, + 429, + 22334, + 14672, + 207, + 21, + 1245, + 11, + 558, + 254, + 2295, + 513, + 12652, + 317, + 363, + 16, + 17, + 13, + 15, + 15, + 893, + 207, + 21, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 49, + 18610, + 276, + 254, + 17016, + 10858, + 11, + 254, + 2295, + 513, + 12652, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "d080eda4535cbc81d6eb0832940ea1562f83697cb739a7357f5b31e73d7cfe5f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pounds of onions Antoine needs. He likes to double the amount called for in the recipe, so he needs 2 * 2 = 4 pounds of onions.\n\nNext, let's find out how much the onions will cost. They are on sale for $2.00 a pound, so 4 pounds will cost 4 * $2.00 = $8.00.\n\nAntoine also needs 2 boxes of beef stock. Each box is on sale for $2.00, so 2 boxes will cost 2 * $2.00 = $4.00.\n\nNow, let's add the cost of the onions and the beef stock to find the total cost of the ingredients. This comes to $8.00 + $4.00 = $12.00.\n\nFinally, let's find out how much the soup costs per serving. The soup serves 6 people, so the cost per serving is $12.00 / 6 = $2.00.\n\nRounding to the nearest integer, the cost per serving is $\\boxed{2}$.", + "text_sha256": "fdea246a237dc5eae4506808afe6b4946d0440b88de00e62a6f38e81c346f2c1", + "uniform_steps_consumed": 252, + "uniform_uint64_prefix_sha256": "02e013cfff3c87c53c2eea801eb13b73b74379e9938110c404a3f1f82d856af2", + "uniform_uint64_first_eight_hex": [ + "28ff32db2943d027", + "44f5147fc7578a59", + "c9e7ba2c356ffa8a", + "4129e99133bd5fdc", + "921a08992ccdc56b", + "fe9b77e25dc904fb", + "d0f0e72254d5e5e5", + "6da4f0ebfb535970" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 123, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "1b259eda6bb486ee8cc19f46d8d528b0f71f0a7e309f9cd1c1f8755cfd453547", + "generated_tokens": 245, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 13799, + 280, + 32833, + 65627, + 3277, + 13, + 1063, + 14823, + 276, + 4974, + 254, + 3744, + 2424, + 327, + 279, + 254, + 11665, + 11, + 558, + 362, + 3277, + 207, + 17, + 575, + 207, + 17, + 403, + 207, + 19, + 13799, + 280, + 32833, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 254, + 32833, + 543, + 2295, + 13, + 1955, + 418, + 331, + 6803, + 327, + 363, + 17, + 13, + 15, + 15, + 245, + 24254, + 11, + 558, + 207, + 19, + 13799, + 543, + 2295, + 207, + 19, + 575, + 363, + 17, + 13, + 15, + 15, + 403, + 363, + 23, + 13, + 15, + 15, + 13, + 185, + 185, + 11832, + 44850, + 839, + 3277, + 207, + 17, + 14253, + 280, + 21809, + 6645, + 11, + 588, + 418, + 839, + 331, + 6803, + 327, + 363, + 17, + 13, + 15, + 15, + 245, + 4085, + 13, + 2086, + 11, + 254, + 21809, + 6645, + 543, + 2295, + 207, + 17, + 575, + 363, + 17, + 13, + 15, + 15, + 403, + 363, + 19, + 13, + 15, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 962, + 254, + 2295, + 280, + 254, + 32833, + 285, + 254, + 21809, + 6645, + 276, + 1275, + 254, + 3223, + 2295, + 280, + 254, + 12757, + 13, + 429, + 3223, + 2295, + 317, + 363, + 23, + 13, + 15, + 15, + 919, + 363, + 19, + 13, + 15, + 15, + 403, + 363, + 16, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 254, + 2295, + 513, + 12652, + 13, + 429, + 22334, + 14672, + 207, + 21, + 1245, + 11, + 558, + 254, + 2295, + 513, + 12652, + 317, + 363, + 16, + 17, + 13, + 15, + 15, + 893, + 207, + 21, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "aa46af5038f09a5d11dc969da8f4631810d78923ec56f2cd980ce5b9b20129e9", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pounds of onions Antoine needs. He likes to double the amount called for in the recipe, so he needs 2 * 2 = 4 pounds of onions.\n\nNext, let's find out how much the onions will cost. They are on sale for $2.00 a pound, so 4 pounds will cost 4 * $2.00 = $8.00.\n\nAntoine also needs 2 boxes of beef stock, which are also on sale for $2.00 a box. So, the beef stock will cost 2 * $2.00 = $4.00.\n\nNow, let's add the cost of the onions and the beef stock to find the total cost of the ingredients. The total cost is $8.00 + $4.00 = $12.00.\n\nFinally, let's find out the cost per serving. The soup serves 6 people, so the cost per serving is $12.00 / 6 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "cb020bcbc678ff155e266b68464502724905c42000cd9b7f0f481e8017690a88", + "uniform_steps_consumed": 245, + "uniform_uint64_prefix_sha256": "e2010cc044825140fc1524b1ca6c2d3c854792bec7bc17c32eb42d9880201c1d", + "uniform_uint64_first_eight_hex": [ + "28ff32db2943d027", + "44f5147fc7578a59", + "c9e7ba2c356ffa8a", + "4129e99133bd5fdc", + "921a08992ccdc56b", + "fe9b77e25dc904fb", + "d0f0e72254d5e5e5", + "6da4f0ebfb535970" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1299", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 7, + "selection_rank": "01905ee47b39eb58804378d2e1e469bfb676f2f1524864076667215f0f12815e", + "source_text_sha256": "d4350e7f863b05ee6fc0dc0e92fe04815e183172553fc1674fbef33febb33971", + 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"special" + }, + "prompt_tokens": 83, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "76a3baf126c9a7b6f612dd6cab49db4481d5cb68c0888117e1bc4411f2d81adc", + "generated_tokens": 111, + "generated_token_ids": [ + 40804, + 41504, + 363, + 18, + 13, + 20, + 15, + 331, + 9400, + 11116, + 11, + 363, + 22, + 13, + 20, + 15, + 327, + 8265, + 14069, + 327, + 6721, + 285, + 711, + 14000, + 9233, + 11, + 285, + 363, + 23, + 13, + 20, + 15, + 331, + 245, + 50720, + 13, + 185, + 3139, + 11, + 838, + 41504, + 245, + 3223, + 280, + 363, + 18, + 13, + 20, + 15, + 919, + 363, + 22, + 13, + 20, + 15, + 919, + 363, + 23, + 13, + 20, + 15, + 403, + 363, + 16, + 24, + 13, + 20, + 15, + 185, + 13608, + 6866, + 4366, + 711, + 363, + 19, + 15, + 11, + 558, + 838, + 643, + 363, + 19, + 15, + 570, + 363, + 16, + 24, + 13, + 20, + 15, + 403, + 363, + 17, + 15, + 13, + 20, + 15, + 2116, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 13, + 20, + 15, + 100001 + ], + "generated_token_ids_sha256": "2fa8c2f0d99d77dcd922d8c1c82dc13a9a4f1f14a0ca0e63b277720b81833063", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Janet spends $3.50 on ice cream, $7.50 for movie tickets for herself and her younger sister, and $8.50 on a bracelet.\nSo, she spends a total of $3.50 + $7.50 + $8.50 = $19.50\nHer parents gave her $40, so she has $40 - $19.50 = $20.50 left.\nThe answer is: 20.50", + "text_sha256": "ca857237ef5f7ede76ab4f5005ec85750a6eb2ac7ec958aa414ad6a25d72ec18", + "uniform_steps_consumed": 111, + "uniform_uint64_prefix_sha256": "bdadfc8e2865592f184b1efcd88421b66ff59e4e8994b496c91bf623700ed385", + "uniform_uint64_first_eight_hex": [ + "54f26c658c5bc2d4", + "4f6643e2eda10f59", + "b863c72c82ba4081", + "07d0611a73ee081b", + "ffbc6487dad9f788", + "775f31e48ba78fe2", + "e33565a2eb86d648", + "2f8bacc6af107b85" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "20.5", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 99, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "8df6933c900688235dab89382dd6ac97518f2cad1a64afc39338253f38866d3d", + "generated_tokens": 107, + "generated_token_ids": [ + 40804, + 41504, + 363, + 18, + 13, + 20, + 15, + 331, + 9400, + 11116, + 11, + 363, + 22, + 13, + 20, + 15, + 327, + 8265, + 14069, + 327, + 6721, + 285, + 711, + 14000, + 9233, + 11, + 285, + 363, + 23, + 13, + 20, + 15, + 331, + 245, + 50720, + 13, + 185, + 3139, + 11, + 838, + 41504, + 245, + 3223, + 280, + 363, + 18, + 13, + 20, + 15, + 919, + 363, + 22, + 13, + 20, + 15, + 919, + 363, + 22, + 13, + 20, + 15, + 919, + 363, + 23, + 13, + 20, + 15, + 403, + 363, + 17, + 22, + 13, + 185, + 1847, + 711, + 6866, + 4366, + 711, + 363, + 19, + 15, + 11, + 937, + 838, + 643, + 363, + 19, + 15, + 570, + 363, + 17, + 22, + 403, + 363, + 16, + 18, + 2116, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 18, + 100001 + ], + "generated_token_ids_sha256": "bc76b9b932ad338139cb5c3b09f92ff416e8d9b7a908c0605bf92287b477eb41", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Janet spends $3.50 on ice cream, $7.50 for movie tickets for herself and her younger sister, and $8.50 on a bracelet.\nSo, she spends a total of $3.50 + $7.50 + $7.50 + $8.50 = $27.\nIf her parents gave her $40, then she has $40 - $27 = $13 left.\nThe answer is: 13", + "text_sha256": "ff903026a53da4c236c0a3e62170edc8d7846c366cbc95af3c5e9421443a91f9", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "b41c2e85d96171374871d5a675efaf89d8dea7f3cb782097d5d5a185a01ffd8d", + "uniform_uint64_first_eight_hex": [ + "54f26c658c5bc2d4", + "4f6643e2eda10f59", + "b863c72c82ba4081", + "07d0611a73ee081b", + "ffbc6487dad9f788", + "775f31e48ba78fe2", + "e33565a2eb86d648", + "2f8bacc6af107b85" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "13", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 83, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0f5ad04460a04c08f5870b1ad6ccfbfbee7950aac5e1e82f4ec412337a0c89f3", + "generated_tokens": 111, + "generated_token_ids": [ + 40804, + 41504, + 363, + 18, + 13, + 20, + 15, + 331, + 9400, + 11116, + 11, + 363, + 22, + 13, + 20, + 15, + 327, + 8265, + 14069, + 327, + 6721, + 285, + 711, + 14000, + 9233, + 11, + 285, + 363, + 23, + 13, + 20, + 15, + 331, + 245, + 50720, + 13, + 185, + 3139, + 11, + 838, + 41504, + 245, + 3223, + 280, + 363, + 18, + 13, + 20, + 15, + 919, + 363, + 22, + 13, + 20, + 15, + 919, + 363, + 23, + 13, + 20, + 15, + 403, + 363, + 16, + 24, + 13, + 20, + 15, + 185, + 1847, + 711, + 6866, + 4366, + 711, + 363, + 19, + 15, + 11, + 937, + 838, + 643, + 363, + 19, + 15, + 570, + 363, + 16, + 24, + 13, + 20, + 15, + 403, + 363, + 17, + 15, + 13, + 20, + 15, + 2116, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 13, + 20, + 100001 + ], + "generated_token_ids_sha256": "1621f5c8b9190d1f67c52f7dc8e8bc38912e389d9140d7e57f0d9345fb047c28", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Janet spends $3.50 on ice cream, $7.50 for movie tickets for herself and her younger sister, and $8.50 on a bracelet.\nSo, she spends a total of $3.50 + $7.50 + $8.50 = $19.50\nIf her parents gave her $40, then she has $40 - $19.50 = $20.50 left.\nThe answer is: 20.5", + "text_sha256": "8af3dd9d1612b0d9ef487d1ef2e287695ae8c0e921d0cc75a4bdd42a4378a06d", + "uniform_steps_consumed": 111, + "uniform_uint64_prefix_sha256": "bdadfc8e2865592f184b1efcd88421b66ff59e4e8994b496c91bf623700ed385", + "uniform_uint64_first_eight_hex": [ + "54f26c658c5bc2d4", + "4f6643e2eda10f59", + "b863c72c82ba4081", + "07d0611a73ee081b", + "ffbc6487dad9f788", + "775f31e48ba78fe2", + "e33565a2eb86d648", + "2f8bacc6af107b85" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "20.5", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 99, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "26a20c55aff1adc16eea128ead90f266d0b9eebc04294745d705162037f65abd", + "generated_tokens": 106, + "generated_token_ids": [ + 40804, + 41504, + 363, + 18, + 13, + 20, + 15, + 331, + 9400, + 11116, + 11, + 363, + 22, + 13, + 20, + 15, + 327, + 8265, + 14069, + 327, + 6721, + 285, + 711, + 14000, + 9233, + 11, + 285, + 363, + 23, + 13, + 20, + 15, + 331, + 245, + 50720, + 13, + 185, + 549, + 3223, + 3744, + 838, + 41504, + 317, + 363, + 18, + 13, + 20, + 15, + 919, + 363, + 22, + 13, + 20, + 15, + 919, + 363, + 22, + 13, + 20, + 15, + 919, + 363, + 23, + 13, + 20, + 15, + 403, + 363, + 17, + 22, + 13, + 185, + 1847, + 711, + 6866, + 4366, + 711, + 363, + 19, + 15, + 11, + 937, + 838, + 643, + 363, + 19, + 15, + 570, + 363, + 17, + 22, + 403, + 363, + 16, + 18, + 2116, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 18, + 100001 + ], + "generated_token_ids_sha256": "57c5b323b6e01e7e8a114ddd25387633040396b22fca7d247a8142d09550bc91", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Janet spends $3.50 on ice cream, $7.50 for movie tickets for herself and her younger sister, and $8.50 on a bracelet.\nThe total amount she spends is $3.50 + $7.50 + $7.50 + $8.50 = $27.\nIf her parents gave her $40, then she has $40 - $27 = $13 left.\nThe answer is: 13", + "text_sha256": "d65a79a5d45982e3404f9d37a689ce142697b6bf67578c08ae1703695cf0309a", + "uniform_steps_consumed": 106, + "uniform_uint64_prefix_sha256": "803552a531b4fe42938a0546e3fea721a0ad94c9e56cc39ecf3d7f3c2683fed9", + "uniform_uint64_first_eight_hex": [ + "54f26c658c5bc2d4", + "4f6643e2eda10f59", + "b863c72c82ba4081", + "07d0611a73ee081b", + "ffbc6487dad9f788", + "775f31e48ba78fe2", + "e33565a2eb86d648", + "2f8bacc6af107b85" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "13", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0546", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 8, + "selection_rank": "01ebd6fb979d45e8755a234bffd810bc5ec36423c0fbd8bf344a799e5e0993a6", + "source_text_sha256": "8619c48853d9610e152a7525a70d157c33e2f3ec1f9bcc8b41f927324527d5f2", + "source_characters": 239, + "source_tokens": 52, + "prompt_tokens_by_condition": { + "s0_eos": 75, + "s1_eos": 91, + "s0_period": 75, + "s1_period": 91 + }, + "batch_prompt_tokens_after_left_padding": 91, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 4124582680670738755, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "9783b39cb20e6a2bececf3c03de6215c7068a9bdb9f04db33e0c24e4a5792ad7", + "cuda_device_sha256": [ + "45bd179d5f53b5a2c84ff1f5022436955949242ff7a02b9ab567bfd54a7c2adc" + ], + "cuda_combined_sha256": "682eb1b7842a59d4412e136a561f94b9a92a9576dd0e0b2c20256619cae7d408" + }, + "rng_state_after": { + "cpu_sha256": "9783b39cb20e6a2bececf3c03de6215c7068a9bdb9f04db33e0c24e4a5792ad7", + "cuda_device_sha256": [ + "45bd179d5f53b5a2c84ff1f5022436955949242ff7a02b9ab567bfd54a7c2adc" + ], + "cuda_combined_sha256": "682eb1b7842a59d4412e136a561f94b9a92a9576dd0e0b2c20256619cae7d408" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 120, + "uniform_uint64_sha256": "df6abd8ee53a0af6e20f23b31ade74568aa5853ffac1f819a3b304071a6b585a", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "uniform_float32_first_eight": [ + 0.9086422920227051, + 0.9720163941383362, + 0.9129832983016968, + 0.1375758945941925, + 0.7433056235313416, + 0.05443209782242775, + 0.04560432210564613, + 0.6967202425003052 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 20.355294045002665, + "peak_cuda_memory_allocated_bytes": 28384542208, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "1d48e6c07ba98ecc025652caf3ec955f335adc6924a64040c371dac92e8ef239", + "generated_tokens": 120, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 558, + 838, + 14870, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 919, + 207, + 21, + 20, + 9187, + 403, + 207, + 16, + 18, + 15, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 18, + 15, + 100001 + ], + "generated_token_ids_sha256": "dc49a0944bb1cce2edcf0a1858906e25766f50c5e78fc7fe076a6186bd1612ea", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, so she writes 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, so she writes another 52 letters + 13 letters = 65 letters.\nIn total, Elise has written 52 letters + 13 letters + 65 letters = 130 letters.\nThe answer is: 130", + "text_sha256": "b74ab335436dacf220649f16c1fc19376ea0635a89eb6957aaabf7ab76171df1", + "uniform_steps_consumed": 120, + "uniform_uint64_prefix_sha256": "df6abd8ee53a0af6e20f23b31ade74568aa5853ffac1f819a3b304071a6b585a", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "130", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e3b3469c7454a5423532ced0fd0006749e09fff43d0eae49944b4ba7106b6d4b", + "generated_tokens": 94, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "c2793629ec5becf56caa67a1d997bb53c07cdf5589803a5d19f1e053c20bae3c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which is 13 letters.\nFinally, she re-writes everything she has already written, which is 52 letters + 13 letters = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "3116145ed2b5ed561ba68c7a79b700246bc7f1008627a4ef29a94b4b4b3fdf32", + "uniform_steps_consumed": 94, + "uniform_uint64_prefix_sha256": "0c02c83f914bd3c079d2e7c707a5bbbdce2c1fa0bae17cdfaa158ff30365714c", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7005e757ffd6257eeb6b1ae0fe0f3fae9e81371cf31bc5dfc2b96f709c620b0e", + "generated_tokens": 107, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 334, + 17, + 21, + 473, + 254, + 1022, + 984, + 2602, + 919, + 207, + 16, + 18, + 473, + 254, + 3222, + 919, + 207, + 17, + 21, + 473, + 254, + 298, + 12, + 6451, + 633, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 919, + 207, + 20, + 17, + 403, + 207, + 24, + 16, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 24, + 16, + 100001 + ], + "generated_token_ids_sha256": "b9ce7eb06d113d2e8656685c8fffee61605557e9cff92c01c22f5c25a013cf07", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet twice, which is 26 letters.\nShe also writes half of the alphabet, which is 13 letters.\nFinally, she re-writes everything she has already written, which is another 52 letters (26 from the first two times + 13 from the half + 26 from the re-write).\nIn total, Elise has written 26 + 13 + 52 = 91 letters.\nThe answer is: 91", + "text_sha256": "d5e5c97e6357cdada4ff461d2889979eb0c3ef957ada1d217d826e62b5f6fbbd", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "8c6302885c86d20e29a26bd19f273f06c42b1be0f34cc0e3200ef5810f0b4a03", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "91", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "9d75edb70e038da357e44158e5306f5748bc88e7fc3ebf669989a0181027551c", + "generated_tokens": 107, + "generated_token_ids": [ + 93435, + 14870, + 254, + 3912, + 32628, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 5045, + 344, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 5312, + 254, + 207, + 17, + 21, + 9187, + 473, + 254, + 1022, + 984, + 24816, + 285, + 254, + 207, + 16, + 18, + 9187, + 473, + 254, + 4443, + 4078, + 13, + 185, + 3139, + 11, + 279, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 919, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 403, + 207, + 22, + 23, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 22, + 23, + 100001 + ], + "generated_token_ids_sha256": "71deb875dfce3e3053b6169be2774ec73baa256513256a7b75214a146fb4947a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the entire alphabet twice, which is 26 letters.\nShe also writes half of the alphabet once, which is 13 letters.\nAfter that, she re-writes everything she has already written, which includes the 26 letters from the first two rounds and the 13 letters from the third round.\nSo, in total, Elise has written 26 + 13 + 26 + 13 = 78 letters.\nThe answer is: 78", + "text_sha256": "838e953dca86cc4ac2dbe60151005143f09fcadc2db4daa74f8c8fabc8e9698a", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "8c6302885c86d20e29a26bd19f273f06c42b1be0f34cc0e3200ef5810f0b4a03", + "uniform_uint64_first_eight_hex": [ + "e89cc849c5dc4f40", + "f8d6109ae830202b", + "e9b945d842a7d0fb", + "23382c73c0a4139d", + "be4946ee6bc4cc2d", + "0def4313a81ade27", + "0bacb98fd6a1b77f", + "b25c41dbfc551c79" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "78", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 1, + "replicate_label": "T1", + "tape_label": "T1", + "base_seed": 399507326, + "run_seed": 4819087441054664313, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "79f78eab21ce306e8f5555972a5574fb31f4fb6fa0705b55821f0f917aa46e22", + "cuda_device_sha256": [ + "26e7eabee5f70fe956441a24874c493b70b26c9971cd57a000c737688ac8b373" + ], + "cuda_combined_sha256": "6a7ad13fb0fbcc0fd86928955b525920e4ef2225ca1349a01d9541bd9d720e66" + }, + "rng_state_after": { + "cpu_sha256": "79f78eab21ce306e8f5555972a5574fb31f4fb6fa0705b55821f0f917aa46e22", + "cuda_device_sha256": [ + "26e7eabee5f70fe956441a24874c493b70b26c9971cd57a000c737688ac8b373" + ], + "cuda_combined_sha256": "6a7ad13fb0fbcc0fd86928955b525920e4ef2225ca1349a01d9541bd9d720e66" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 132, + "uniform_uint64_sha256": "ac90acaafe6f1efeae4fbab4dad94e13baf9c09e94ee0f681f31b05821f154c3", + "uniform_uint64_first_eight_hex": [ + "921c7a9fa1b9dfe2", + "3a9083c8e959beff", + "2c3ad90cbb89bfc4", + "d4b6459aa2b8f310", + "f819ae281723d15d", + "1c8d70371987e6fa", + "5dba7d43113b3790", + "4ba968072eddfcf3" + ], + "uniform_float32_first_eight": [ + 0.5707470774650574, + 0.22876761853694916, + 0.17277294397354126, + 0.8309062719345093, + 0.9691418409347534, + 0.11153317987918854, + 0.3661268651485443, + 0.29555368423461914 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 23.296315899991896, + "peak_cuda_memory_allocated_bytes": 28411084288, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "1d48e6c07ba98ecc025652caf3ec955f335adc6924a64040c371dac92e8ef239", + "generated_tokens": 108, + "generated_token_ids": [ + 429, + 3517, + 32628, + 643, + 207, + 17, + 21, + 9187, + 13, + 185, + 1877, + 1011, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 17, + 21, + 14, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 207, + 20, + 17, + 919, + 207, + 16, + 18, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "34873b28a0707bde8731a48960dac03057eadda538322131db178070f89ab4c2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The English alphabet has 26 letters.\nElise writes the alphabet in full twice, so she writes 26 x 2 = 52 letters.\nShe also writes half of the alphabet once, which is 26/2 = 13 letters.\nFinally, she re-writes everything she has already written, which is 52 + 13 = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "7ccac552cade319096c74cbd9ba0f6b40adaae00bb70199c4b4e2481a79fdcff", + "uniform_steps_consumed": 108, + "uniform_uint64_prefix_sha256": "53aa2a2d45bed1c83ab4743b87e5ebe82a9c68c911f70986b35fede91e0db3c5", + "uniform_uint64_first_eight_hex": [ + "921c7a9fa1b9dfe2", + "3a9083c8e959beff", + "2c3ad90cbb89bfc4", + "d4b6459aa2b8f310", + "f819ae281723d15d", + "1c8d70371987e6fa", + "5dba7d43113b3790", + "4ba968072eddfcf3" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e3b3469c7454a5423532ced0fd0006749e09fff43d0eae49944b4ba7106b6d4b", + "generated_tokens": 132, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 588, + 2456, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 2456, + 838, + 14870, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 5045, + 4456, + 254, + 32628, + 279, + 2201, + 9682, + 285, + 3222, + 2561, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 2456, + 838, + 14870, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 919, + 207, + 21, + 20, + 9187, + 403, + 207, + 16, + 18, + 15, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 18, + 15, + 100001 + ], + "generated_token_ids_sha256": "5c6dd602d1ca95a33b6de774841b574547d9248c9745f99e53d999ff5b93e5bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, which means she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which means she writes 26 letters / 2 = 13 letters.\nAfter writing the alphabet in full twice and half once, she re-writes everything she has already written, which means she writes another 52 letters + 13 letters = 65 letters.\nIn total, Elise has written 52 letters + 13 letters + 65 letters = 130 letters.\nThe answer is: 130", + "text_sha256": "986260a671dcab90bc31ce05b11325e195ef12572cb37f5e81edcdffe5ecae83", + "uniform_steps_consumed": 132, + "uniform_uint64_prefix_sha256": "ac90acaafe6f1efeae4fbab4dad94e13baf9c09e94ee0f681f31b05821f154c3", + "uniform_uint64_first_eight_hex": [ + "921c7a9fa1b9dfe2", + "3a9083c8e959beff", + "2c3ad90cbb89bfc4", + "d4b6459aa2b8f310", + "f819ae281723d15d", + "1c8d70371987e6fa", + "5dba7d43113b3790", + "4ba968072eddfcf3" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "130", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7005e757ffd6257eeb6b1ae0fe0f3fae9e81371cf31bc5dfc2b96f709c620b0e", + "generated_tokens": 99, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 4631, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 334, + 17, + 21, + 473, + 254, + 1022, + 984, + 2602, + 919, + 207, + 16, + 18, + 473, + 254, + 3222, + 633, + 185, + 3139, + 279, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 919, + 207, + 20, + 17, + 403, + 207, + 24, + 16, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 24, + 16, + 100001 + ], + "generated_token_ids_sha256": "303f455e053ae91aed5fca8fd047e4353ec38a2096afc72d8bc9fc0f9b20c263", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet twice, which is 26 letters.\nShe also writes half of the alphabet once, which is 13 letters.\nThen she re-writes everything she has already written, which is another 52 letters (26 from the first two times + 13 from the half).\nSo in total, Elise has written 26 + 13 + 52 = 91 letters.\nThe answer is: 91", + "text_sha256": "d7ee681763ff6a3628ea09c76dc3e5ae80a21ef01330f770b7c22003e04f76e4", + "uniform_steps_consumed": 99, + "uniform_uint64_prefix_sha256": "205ca1312977bb7cd7dc04bb22ff7f7bb1dafba00d6c71579144bb4900a99bf0", + "uniform_uint64_first_eight_hex": [ + "921c7a9fa1b9dfe2", + "3a9083c8e959beff", + "2c3ad90cbb89bfc4", + "d4b6459aa2b8f310", + "f819ae281723d15d", + "1c8d70371987e6fa", + "5dba7d43113b3790", + "4ba968072eddfcf3" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "91", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "9d75edb70e038da357e44158e5306f5748bc88e7fc3ebf669989a0181027551c", + "generated_tokens": 107, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 5045, + 4456, + 254, + 32628, + 279, + 2201, + 9682, + 285, + 3222, + 2561, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 13, + 185, + 3139, + 11, + 838, + 298, + 12, + 61210, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 403, + 207, + 18, + 24, + 9187, + 13, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 919, + 207, + 18, + 24, + 403, + 207, + 22, + 23, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 22, + 23, + 100001 + ], + "generated_token_ids_sha256": "b880802bc800a1220ceffc84b30271d5dd6557318b92b35379cca1e8ac952bc1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, which is 26 letters.\nShe also writes half of the alphabet once, which is 13 letters.\nAfter writing the alphabet in full twice and half once, she re-writes everything she has already written.\nSo, she re-writes 26 + 13 = 39 letters.\nIn total, Elise has written 26 + 13 + 39 = 78 letters.\nThe answer is: 78", + "text_sha256": "5286ca510630430720947b8c82cc5aed94e879f9d14c636717c636e1221dfd29", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "54881b2c468a0a054f212b299bcbd8e3014921c8e37ab49a7810f7b98f751a4e", + "uniform_uint64_first_eight_hex": [ + "921c7a9fa1b9dfe2", + "3a9083c8e959beff", + "2c3ad90cbb89bfc4", + "d4b6459aa2b8f310", + "f819ae281723d15d", + "1c8d70371987e6fa", + "5dba7d43113b3790", + "4ba968072eddfcf3" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "78", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 2, + "replicate_label": "T2", + "tape_label": "T2", + "base_seed": 405284229, + "run_seed": 6223421486168576077, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "1122be0ab8af9e999870c4ce97cd1e67104e01744599894c842c624742d51c84", + "cuda_device_sha256": [ + "a3415e33517d6c0e36d94a605a86888352308a8501c75fc1a604e4fa0c05481f" + ], + "cuda_combined_sha256": "d6c1a723fd9b6bb3c80e96ce65381c238b44b1c8d232f6a5f98ff74110bfb8e4" + }, + "rng_state_after": { + "cpu_sha256": "1122be0ab8af9e999870c4ce97cd1e67104e01744599894c842c624742d51c84", + "cuda_device_sha256": [ + "a3415e33517d6c0e36d94a605a86888352308a8501c75fc1a604e4fa0c05481f" + ], + "cuda_combined_sha256": "d6c1a723fd9b6bb3c80e96ce65381c238b44b1c8d232f6a5f98ff74110bfb8e4" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 113, + "uniform_uint64_sha256": "554f3dcc9398162fbc2650e9b2e8270f05fd7abb30a3912f36289ba75d91f1ba", + "uniform_uint64_first_eight_hex": [ + "04b1ca3912894d0f", + "d7134e008f44a453", + "047f99f4c3a5e7ec", + "602d84b8923bdecf", + "2c1dabbe89b76b5e", + "efa9eefb4f1dec4d", + "cc215e4ef8e53cff", + "5a420bbf44230938" + ], + "uniform_float32_first_eight": [ + 0.018337858840823174, + 0.84013831615448, + 0.01757204346358776, + 0.37569454312324524, + 0.17232774198055267, + 0.9361867308616638, + 0.7973841428756714, + 0.3525702655315399 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 15.798358925996581, + "peak_cuda_memory_allocated_bytes": 28369057792, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "1d48e6c07ba98ecc025652caf3ec955f335adc6924a64040c371dac92e8ef239", + "generated_tokens": 113, + "generated_token_ids": [ + 429, + 32628, + 643, + 207, + 17, + 21, + 9187, + 13, + 185, + 1877, + 1011, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "68af39e41675170a4f47f09c53772d202f5e80b17783fee1763fb993f460a4c6", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The alphabet has 26 letters.\nElise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which is 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, which is another 52 letters + 13 letters = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "1b14eac640a6844e68dae713dc40a86da1ea1d644ce19f0c802d03beec29299c", + "uniform_steps_consumed": 113, + "uniform_uint64_prefix_sha256": "554f3dcc9398162fbc2650e9b2e8270f05fd7abb30a3912f36289ba75d91f1ba", + "uniform_uint64_first_eight_hex": [ + "04b1ca3912894d0f", + "d7134e008f44a453", + "047f99f4c3a5e7ec", + "602d84b8923bdecf", + "2c1dabbe89b76b5e", + "efa9eefb4f1dec4d", + "cc215e4ef8e53cff", + "5a420bbf44230938" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e3b3469c7454a5423532ced0fd0006749e09fff43d0eae49944b4ba7106b6d4b", + "generated_tokens": 113, + "generated_token_ids": [ + 429, + 32628, + 643, + 207, + 17, + 21, + 9187, + 13, + 185, + 1877, + 1011, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "68af39e41675170a4f47f09c53772d202f5e80b17783fee1763fb993f460a4c6", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The alphabet has 26 letters.\nElise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which is 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, which is another 52 letters + 13 letters = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "1b14eac640a6844e68dae713dc40a86da1ea1d644ce19f0c802d03beec29299c", + "uniform_steps_consumed": 113, + "uniform_uint64_prefix_sha256": "554f3dcc9398162fbc2650e9b2e8270f05fd7abb30a3912f36289ba75d91f1ba", + "uniform_uint64_first_eight_hex": [ + "04b1ca3912894d0f", + "d7134e008f44a453", + "047f99f4c3a5e7ec", + "602d84b8923bdecf", + "2c1dabbe89b76b5e", + "efa9eefb4f1dec4d", + "cc215e4ef8e53cff", + "5a420bbf44230938" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7005e757ffd6257eeb6b1ae0fe0f3fae9e81371cf31bc5dfc2b96f709c620b0e", + "generated_tokens": 113, + "generated_token_ids": [ + 429, + 32628, + 643, + 207, + 17, + 21, + 9187, + 13, + 185, + 1877, + 1011, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "68af39e41675170a4f47f09c53772d202f5e80b17783fee1763fb993f460a4c6", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The alphabet has 26 letters.\nElise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which is 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, which is another 52 letters + 13 letters = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "1b14eac640a6844e68dae713dc40a86da1ea1d644ce19f0c802d03beec29299c", + "uniform_steps_consumed": 113, + "uniform_uint64_prefix_sha256": "554f3dcc9398162fbc2650e9b2e8270f05fd7abb30a3912f36289ba75d91f1ba", + "uniform_uint64_first_eight_hex": [ + "04b1ca3912894d0f", + "d7134e008f44a453", + "047f99f4c3a5e7ec", + "602d84b8923bdecf", + "2c1dabbe89b76b5e", + "efa9eefb4f1dec4d", + "cc215e4ef8e53cff", + "5a420bbf44230938" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "9d75edb70e038da357e44158e5306f5748bc88e7fc3ebf669989a0181027551c", + "generated_tokens": 86, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 14870, + 3222, + 280, + 359, + 2561, + 11, + 588, + 317, + 207, + 17, + 21, + 14, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 4622, + 937, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 403, + 207, + 18, + 24, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 18, + 24, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 18, + 24, + 100001 + ], + "generated_token_ids_sha256": "a9e24fea5445e5933dac4966db74af4af1ef3888576e40baf9d6dbf90bb2a401", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, which is 26 letters.\nShe writes half of it once, which is 26/2 = 13 letters.\nShe then re-writes everything she has already written, which is 26 + 13 = 39 letters.\nTherefore, Elise has written a total of 39 letters.\nThe answer is: 39", + "text_sha256": "9401cd93bb8dc6b5dd8989f90fe65844d82154ca3286d5a70a531df2480ab23f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "9f068ea8183316f937714fdf23f9ffc7f60e9d70af4b44abf19a5285b84a6343", + "uniform_uint64_first_eight_hex": [ + "04b1ca3912894d0f", + "d7134e008f44a453", + "047f99f4c3a5e7ec", + "602d84b8923bdecf", + "2c1dabbe89b76b5e", + "efa9eefb4f1dec4d", 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"1d48e6c07ba98ecc025652caf3ec955f335adc6924a64040c371dac92e8ef239", + "generated_tokens": 115, + "generated_token_ids": [ + 429, + 3517, + 32628, + 643, + 207, + 17, + 21, + 9187, + 13, + 185, + 1877, + 1011, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 558, + 838, + 14870, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 14494, + 11, + 93435, + 643, + 4473, + 245, + 3223, + 280, + 207, + 21, + 20, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 100001 + ], + "generated_token_ids_sha256": "775cd6418a19dae049427a1f746c08007f61da47082987dc6096b15116f74074", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The English alphabet has 26 letters.\nElise writes the alphabet in full twice, so she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, so she writes 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, which is another 52 letters + 13 letters = 65 letters.\nTherefore, Elise has written a total of 65 letters.\nThe answer is: 65", + "text_sha256": "32a57c6b6d00cb42a0c702ae7a1bae5e351ba2d89f51ff0086e3a03bc02a36e0", + "uniform_steps_consumed": 115, + "uniform_uint64_prefix_sha256": "cece44478c2a138068663fdb2e4c1c70eaeea60d1215a13e73886ec890dd536f", + "uniform_uint64_first_eight_hex": [ + "becc85cf6c3fa410", + "049466fdfeaea76d", + "0571ba5b4cfc9470", + "9d14a0a7ec996008", + "37d359e86375d3d5", + "3b688f1123a147b3", + "1f0cb238723b1720", + "9a7437f04606329c" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "65", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e3b3469c7454a5423532ced0fd0006749e09fff43d0eae49944b4ba7106b6d4b", + "generated_tokens": 123, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 588, + 2456, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 2456, + 838, + 14870, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 2456, + 838, + 14870, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 919, + 207, + 21, + 20, + 9187, + 403, + 207, + 16, + 18, + 15, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 18, + 15, + 100001 + ], + "generated_token_ids_sha256": "31fa50c6ce8e60cb450cb7e791cf6bcc9159769084b37a1149244d2747ac16d5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, which means she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which means she writes 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, which means she writes another 52 letters + 13 letters = 65 letters.\nIn total, Elise has written 52 letters + 13 letters + 65 letters = 130 letters.\nThe answer is: 130", + "text_sha256": "a4a6e7d144d97b035d90ae79a0f09e6f93d8c23fd7f953380a8bcab4744a84d4", + "uniform_steps_consumed": 123, + "uniform_uint64_prefix_sha256": "154880ba08d4cbdf29e7250a4f230d45cd5d9e185fd6daaeb17e5369960c341b", + "uniform_uint64_first_eight_hex": [ + "becc85cf6c3fa410", + "049466fdfeaea76d", + "0571ba5b4cfc9470", + "9d14a0a7ec996008", + "37d359e86375d3d5", + "3b688f1123a147b3", + "1f0cb238723b1720", + "9a7437f04606329c" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "130", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "7005e757ffd6257eeb6b1ae0fe0f3fae9e81371cf31bc5dfc2b96f709c620b0e", + "generated_tokens": 123, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 588, + 2456, + 838, + 14870, + 207, + 17, + 21, + 9187, + 1376, + 207, + 17, + 403, + 207, + 20, + 17, + 9187, + 13, + 185, + 4622, + 839, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 2456, + 838, + 14870, + 207, + 17, + 21, + 9187, + 893, + 207, + 17, + 403, + 207, + 16, + 18, + 9187, + 13, + 185, + 12119, + 11, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 2456, + 838, + 14870, + 1913, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 403, + 207, + 21, + 20, + 9187, + 13, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 20, + 17, + 9187, + 919, + 207, + 16, + 18, + 9187, + 919, + 207, + 21, + 20, + 9187, + 403, + 207, + 16, + 18, + 15, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 18, + 15, + 100001 + ], + "generated_token_ids_sha256": "31fa50c6ce8e60cb450cb7e791cf6bcc9159769084b37a1149244d2747ac16d5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, which means she writes 26 letters x 2 = 52 letters.\nShe also writes half of the alphabet once, which means she writes 26 letters / 2 = 13 letters.\nFinally, she re-writes everything she has already written, which means she writes another 52 letters + 13 letters = 65 letters.\nIn total, Elise has written 52 letters + 13 letters + 65 letters = 130 letters.\nThe answer is: 130", + "text_sha256": "a4a6e7d144d97b035d90ae79a0f09e6f93d8c23fd7f953380a8bcab4744a84d4", + "uniform_steps_consumed": 123, + "uniform_uint64_prefix_sha256": "154880ba08d4cbdf29e7250a4f230d45cd5d9e185fd6daaeb17e5369960c341b", + "uniform_uint64_first_eight_hex": [ + "becc85cf6c3fa410", + "049466fdfeaea76d", + "0571ba5b4cfc9470", + "9d14a0a7ec996008", + "37d359e86375d3d5", + "3b688f1123a147b3", + "1f0cb238723b1720", + "9a7437f04606329c" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "130", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "9d75edb70e038da357e44158e5306f5748bc88e7fc3ebf669989a0181027551c", + "generated_tokens": 79, + "generated_token_ids": [ + 93435, + 14870, + 254, + 32628, + 279, + 2201, + 9682, + 11, + 588, + 317, + 207, + 17, + 21, + 9187, + 13, + 185, + 4622, + 14870, + 3222, + 280, + 254, + 32628, + 2561, + 11, + 588, + 317, + 207, + 16, + 18, + 9187, + 13, + 185, + 4631, + 838, + 298, + 12, + 61210, + 3694, + 838, + 643, + 2571, + 4473, + 11, + 588, + 317, + 207, + 17, + 21, + 919, + 207, + 16, + 18, + 403, + 207, + 18, + 24, + 9187, + 13, + 185, + 774, + 3223, + 11, + 93435, + 643, + 4473, + 207, + 18, + 24, + 9187, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 18, + 24, + 100001 + ], + "generated_token_ids_sha256": "501b429b1e3343dd8765e3f16e952ec8646d5edc80b24e94fb47fc6b3a59cf5d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Elise writes the alphabet in full twice, which is 26 letters.\nShe writes half of the alphabet once, which is 13 letters.\nThen she re-writes everything she has already written, which is 26 + 13 = 39 letters.\nIn total, Elise has written 39 letters.\nThe answer is: 39", + "text_sha256": "d4a59bcf5962d4439d757f2658e03fdc757e6767903dda438476e6183b4a4947", + "uniform_steps_consumed": 79, + "uniform_uint64_prefix_sha256": "22c4fbe1135be777949bc643b21e3e752eb9e568e661c1062ae8d820a6b0b5f6", + "uniform_uint64_first_eight_hex": [ + "becc85cf6c3fa410", + "049466fdfeaea76d", + "0571ba5b4cfc9470", + "9d14a0a7ec996008", + "37d359e86375d3d5", + "3b688f1123a147b3", + "1f0cb238723b1720", + "9a7437f04606329c" + ], + "task_score": { + "gold_final": "130", + "predicted_final": "39", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0537", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 9, + "selection_rank": "01ed2a6eaa7e8c6439db165853d4bcf48477213319beeb260fa08b7f3d7df971", + "source_text_sha256": 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"system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 89, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "4b4619bc9335cf84afb3b1f39e7aebc47aaf346f7e9443b4b2a377f516882fea", + "generated_tokens": 122, + "generated_token_ids": [ + 429, + 1022, + 2135, + 317, + 207, + 18, + 16, + 11237, + 7141, + 13, + 185, + 549, + 1864, + 2135, + 317, + 207, + 20, + 15, + 11237, + 7141, + 13, + 185, + 549, + 4443, + 2135, + 317, + 207, + 20, + 11237, + 2246, + 7141, + 853, + 254, + 1864, + 2135, + 11, + 558, + 359, + 317, + 207, + 20, + 15, + 570, + 207, + 20, + 403, + 207, + 19, + 20, + 11237, + 7141, + 13, + 185, + 549, + 11363, + 2135, + 317, + 9682, + 372, + 7141, + 372, + 254, + 1022, + 2135, + 11, + 558, + 359, + 317, + 207, + 17, + 575, + 207, + 18, + 16, + 403, + 207, + 21, + 17, + 11237, + 7141, + 13, + 185, + 549, + 3223, + 22321, + 280, + 254, + 2685, + 5515, + 317, + 207, + 18, + 16, + 919, + 207, + 20, + 15, + 919, + 207, + 19, + 20, + 919, + 207, + 21, + 17, + 403, + 207, + 16, + 23, + 23, + 11237, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 23, + 23, + 100001 + ], + "generated_token_ids_sha256": "95723a6a422af750ad6e3ed3ff1830b4ddb7b1eae5a8045f916377895a219df5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The first book is 31 mm thick.\nThe second book is 50 mm thick.\nThe third book is 5 mm less thick than the second book, so it is 50 - 5 = 45 mm thick.\nThe fourth book is twice as thick as the first book, so it is 2 * 31 = 62 mm thick.\nThe total thickness of the four books is 31 + 50 + 45 + 62 = 188 mm.\nThe answer is: 188", + "text_sha256": "a3a1d155db0af9d9a12c19475b58916a7bb3aab1b8b7c4cfa9d6ce4960a60d78", + "uniform_steps_consumed": 122, + "uniform_uint64_prefix_sha256": "4c632432b35ed0e33d7cf94a1a2f3aa8ec32d386311dcc01d0c6755d6558b780", + "uniform_uint64_first_eight_hex": [ + "ecf1cc0cd947553d", + "8251d7e68f1be1b1", + "3481e3b46c668efb", + "05af07cdaa776bd7", + "26c443ba1b01be80", + "f2cb0598ecb50019", + "f43fcaffaefe4065", + "0060e0620dde772a" + ], + "task_score": { + "gold_final": "188", + "predicted_final": "188", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 105, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "19a43d486489b2d5be61f63ff61e6f8475daac5b9d639beae861acb4508f7e31", + "generated_tokens": 122, + "generated_token_ids": [ + 429, + 1022, + 2135, + 317, + 207, + 18, + 16, + 11237, + 7141, + 13, + 185, + 549, + 1864, + 2135, + 317, + 207, + 20, + 15, + 11237, + 7141, + 13, + 185, + 549, + 4443, + 2135, + 317, + 207, + 20, + 11237, + 2246, + 7141, + 853, + 254, + 1864, + 2135, + 11, + 558, + 359, + 317, + 207, + 20, + 15, + 570, + 207, + 20, + 403, + 207, + 19, + 20, + 11237, + 7141, + 13, + 185, + 549, + 11363, + 2135, + 317, + 9682, + 372, + 7141, + 372, + 254, + 1022, + 2135, + 11, + 558, + 359, + 317, + 207, + 17, + 575, + 207, + 18, + 16, + 403, + 207, + 21, + 17, + 11237, + 7141, + 13, + 185, + 549, + 3223, + 22321, + 280, + 254, + 2685, + 5515, + 317, + 207, + 18, + 16, + 919, + 207, + 20, + 15, + 919, + 207, + 19, + 20, + 919, + 207, + 21, + 17, + 403, + 207, + 16, + 23, + 23, + 11237, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 23, + 23, + 100001 + ], + "generated_token_ids_sha256": "95723a6a422af750ad6e3ed3ff1830b4ddb7b1eae5a8045f916377895a219df5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The first book is 31 mm thick.\nThe second book is 50 mm thick.\nThe third book is 5 mm less thick than the second book, so it is 50 - 5 = 45 mm thick.\nThe fourth book is twice as thick as the first book, so it is 2 * 31 = 62 mm thick.\nThe total thickness of the four books is 31 + 50 + 45 + 62 = 188 mm.\nThe answer is: 188", + "text_sha256": "a3a1d155db0af9d9a12c19475b58916a7bb3aab1b8b7c4cfa9d6ce4960a60d78", + "uniform_steps_consumed": 122, + "uniform_uint64_prefix_sha256": "4c632432b35ed0e33d7cf94a1a2f3aa8ec32d386311dcc01d0c6755d6558b780", + "uniform_uint64_first_eight_hex": [ + "ecf1cc0cd947553d", + "8251d7e68f1be1b1", + "3481e3b46c668efb", + "05af07cdaa776bd7", + "26c443ba1b01be80", + "f2cb0598ecb50019", + "f43fcaffaefe4065", + "0060e0620dde772a" + ], + "task_score": { + "gold_final": "188", + "predicted_final": "188", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 89, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "20f02d161bade007b210de31ca5c6f490a9bf7ae0c2c8b85d57e419798643976", + "generated_tokens": 122, + "generated_token_ids": [ + 429, + 1022, + 2135, + 317, + 207, + 18, + 16, + 11237, + 7141, + 13, + 185, + 549, + 1864, + 2135, + 317, + 207, + 20, + 15, + 11237, + 7141, + 13, + 185, + 549, + 4443, + 2135, + 317, + 207, + 20, + 11237, + 2246, + 7141, + 853, + 254, + 1864, + 2135, + 11, + 558, + 359, + 317, + 207, + 20, + 15, + 570, + 207, + 20, + 403, + 207, + 19, + 20, + 11237, + 7141, + 13, + 185, + 549, + 11363, + 2135, + 317, + 9682, + 372, + 7141, + 372, + 254, + 1022, + 2135, + 11, + 558, + 359, + 317, + 207, + 17, + 575, + 207, + 18, + 16, + 403, + 207, + 21, + 17, + 11237, + 7141, + 13, + 185, + 549, + 3223, + 22321, + 280, + 254, + 2685, + 5515, + 317, + 207, + 18, + 16, + 919, + 207, + 20, + 15, + 919, + 207, + 19, + 20, + 919, + 207, + 21, + 17, + 403, + 207, + 16, + 23, + 23, + 11237, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 23, + 23, + 100001 + ], + "generated_token_ids_sha256": "95723a6a422af750ad6e3ed3ff1830b4ddb7b1eae5a8045f916377895a219df5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The first book is 31 mm thick.\nThe second book is 50 mm thick.\nThe third book is 5 mm less thick than the second book, so it is 50 - 5 = 45 mm thick.\nThe fourth book is twice as thick as the first book, so it is 2 * 31 = 62 mm thick.\nThe total thickness of the four books is 31 + 50 + 45 + 62 = 188 mm.\nThe answer is: 188", + "text_sha256": "a3a1d155db0af9d9a12c19475b58916a7bb3aab1b8b7c4cfa9d6ce4960a60d78", + "uniform_steps_consumed": 122, + "uniform_uint64_prefix_sha256": "4c632432b35ed0e33d7cf94a1a2f3aa8ec32d386311dcc01d0c6755d6558b780", + "uniform_uint64_first_eight_hex": [ + "ecf1cc0cd947553d", + "8251d7e68f1be1b1", + "3481e3b46c668efb", + "05af07cdaa776bd7", + "26c443ba1b01be80", + "f2cb0598ecb50019", + "f43fcaffaefe4065", + "0060e0620dde772a" + ], + "task_score": { + "gold_final": "188", + "predicted_final": "188", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 105, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "3a9f7586b74609b9384367b3896c555a3f14d0582fd0ebe98acb6a1bc174d993", + "generated_tokens": 181, + "generated_token_ids": [ + 2158, + 1275, + 254, + 3223, + 22321, + 280, + 254, + 2685, + 5515, + 11, + 395, + 933, + 276, + 962, + 254, + 22321, + 257, + 280, + 1319, + 2135, + 13, + 185, + 185, + 549, + 1022, + 2135, + 317, + 207, + 18, + 16, + 11237, + 7141, + 13, + 185, + 549, + 1864, + 2135, + 317, + 207, + 20, + 15, + 11237, + 7141, + 13, + 185, + 549, + 4443, + 2135, + 317, + 207, + 20, + 11237, + 2246, + 7141, + 853, + 254, + 1864, + 2135, + 11, + 558, + 359, + 317, + 207, + 20, + 15, + 11237, + 570, + 207, + 20, + 11237, + 403, + 207, + 19, + 20, + 11237, + 7141, + 13, + 185, + 549, + 11363, + 2135, + 317, + 9682, + 372, + 7141, + 372, + 254, + 1022, + 2135, + 11, + 558, + 359, + 317, + 207, + 17, + 575, + 207, + 18, + 16, + 11237, + 403, + 207, + 21, + 17, + 11237, + 7141, + 13, + 185, + 185, + 4388, + 11, + 395, + 481, + 962, + 254, + 22321, + 257, + 280, + 521, + 2685, + 5515, + 25, + 185, + 185, + 18, + 16, + 11237, + 334, + 6102, + 2135, + 8, + 919, + 207, + 20, + 15, + 11237, + 334, + 9345, + 2135, + 8, + 919, + 207, + 19, + 20, + 11237, + 334, + 20783, + 2135, + 8, + 919, + 207, + 21, + 17, + 11237, + 334, + 58239, + 2135, + 8, + 403, + 207, + 16, + 23, + 23, + 11237, + 185, + 185, + 549, + 3223, + 22321, + 280, + 254, + 2685, + 5515, + 317, + 207, + 16, + 23, + 23, + 11237, + 13, + 100001 + ], + "generated_token_ids_sha256": "bcb6e4ca9af6074aa5b167af366acf540806d2160c799f124510f337708828cb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To find the total thickness of the four books, we need to add the thicknesses of each book.\n\nThe first book is 31 mm thick.\nThe second book is 50 mm thick.\nThe third book is 5 mm less thick than the second book, so it is 50 mm - 5 mm = 45 mm thick.\nThe fourth book is twice as thick as the first book, so it is 2 * 31 mm = 62 mm thick.\n\nNow, we can add the thicknesses of all four books:\n\n31 mm (first book) + 50 mm (second book) + 45 mm (third book) + 62 mm (fourth book) = 188 mm\n\nThe total thickness of the four books is 188 mm.", + "text_sha256": "def7eb104e0becfcbf1b970ee57fdc088f0dd4e1466630633d6cd5991b330d11", + "uniform_steps_consumed": 181, + "uniform_uint64_prefix_sha256": "210c9e980bb7566f539fa62953114bfa27fcb1ba95785a65f9116ea8316ff51e", + "uniform_uint64_first_eight_hex": [ + "ecf1cc0cd947553d", + "8251d7e68f1be1b1", + "3481e3b46c668efb", + "05af07cdaa776bd7", + "26c443ba1b01be80", + "f2cb0598ecb50019", + "f43fcaffaefe4065", + "0060e0620dde772a" + ], + "task_score": { + "gold_final": "188", + "predicted_final": "188", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0226", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 10, + "selection_rank": "01ef79122976f164519533009f7bbb5f72fd91d9c90f6c5a4df80ed3091d303a", + "source_text_sha256": 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"system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 93, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "69d76c4ce354eed6280fa1384f54c71e16604e0b13a18645ba73e16b3cd25441", + "generated_tokens": 191, + "generated_token_ids": [ + 7518, + 15920, + 643, + 207, + 18, + 15, + 4043, + 1449, + 11, + 207, + 17, + 15, + 11387, + 1449, + 11, + 285, + 207, + 19, + 15, + 2354, + 1449, + 36114, + 8865, + 13, + 185, + 3139, + 11, + 254, + 3223, + 1604, + 280, + 8865, + 362, + 643, + 317, + 207, + 18, + 15, + 919, + 207, + 17, + 15, + 919, + 207, + 19, + 15, + 403, + 207, + 24, + 15, + 13, + 185, + 185, + 5045, + 13916, + 207, + 23, + 2354, + 1449, + 8865, + 11, + 254, + 1604, + 280, + 2354, + 1449, + 8865, + 362, + 643, + 6459, + 207, + 19, + 15, + 570, + 207, + 23, + 403, + 207, + 18, + 17, + 13, + 185, + 185, + 5045, + 10915, + 207, + 16, + 19, + 11387, + 1449, + 8865, + 11, + 254, + 3223, + 1604, + 280, + 8865, + 362, + 643, + 6459, + 207, + 24, + 15, + 919, + 207, + 16, + 19, + 403, + 207, + 16, + 15, + 19, + 13, + 185, + 185, + 549, + 1604, + 280, + 2354, + 1449, + 8865, + 372, + 245, + 14941, + 280, + 254, + 3223, + 1604, + 280, + 8865, + 317, + 334, + 18, + 17, + 14, + 16, + 15, + 19, + 23348, + 16, + 15, + 15, + 403, + 207, + 18, + 15, + 13, + 22, + 21, + 22, + 13, + 185, + 185, + 49, + 18610, + 276, + 254, + 17016, + 10858, + 11, + 254, + 14941, + 5518, + 344, + 245, + 18956, + 12389, + 3995, + 543, + 330, + 245, + 2354, + 1449, + 317, + 207, + 18, + 16, + 12931, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "85ab0782cea2c35288a63d39b5568e91516b4bf04428124733e5ca3fa91765b2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " James initially has 30 fire type, 20 grass type, and 40 water type Pokemon cards.\nSo, the total number of cards he has is 30 + 20 + 40 = 90.\n\nAfter losing 8 water type cards, the number of water type cards he has becomes 40 - 8 = 32.\n\nAfter buying 14 grass type cards, the total number of cards he has becomes 90 + 14 = 104.\n\nThe number of water type cards as a percentage of the total number of cards is (32/104)*100 = 30.767.\n\nRounding to the nearest integer, the percentage chance that a randomly picked card will be a water type is 31%.\n\nSo the answer is $\\boxed{31}$.", + "text_sha256": "fd312d47a17e0a7315176bb1a4bbf15a9c4e8c6f7a1ee1a4789791a4fbd56f6f", + "uniform_steps_consumed": 191, + "uniform_uint64_prefix_sha256": "f286d1e2ba3503ae01eac0f5e058c038828868e81c8f5a458c2ef2daa0e447e4", + "uniform_uint64_first_eight_hex": [ + "5af98cf544b7dfd3", + "f61f3bf713b3e96d", + "89063dc71a4602cb", + "465b799c406a2134", + "384e2f28304c251e", + "1db70a869a1db7f4", + "1ec71a1f9c78ce90", + "68ccca2d956fed3e" + ], + "task_score": { + "gold_final": "33", + "predicted_final": "31", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + 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He has 30 fire type, 20 grass type, and 40 water type. So, the total number of Pokemon cards he has is 30 + 20 + 40 = 90.\n\nThen, James loses 8 of the water type cards. So, the number of water type cards he has now is 40 - 8 = 32.\n\nAfter that, James buys 14 more grass type cards. So, the total number of grass type cards he has now is 20 + 14 = 34.\n\nNow, let's find out how many different types of Pokemon cards James has. He has 30 fire type, 34 grass type, and 32 water type. So, the total number of different types of cards he has is 30 + 34 + 32 = 96.\n\nFinally, let's find out the percentage chance that a randomly picked card will be a water type. The chance is the number of water type cards divided by the total number of cards, times 100. So, the percentage chance is (32 / 96) * 100 = 33.33%.\n\nBut the question asks for the percentage chance rounded to the nearest integer. So, we round 33.33% to 33%.\n\nSo the answer is $\\boxed{33}$.", + "text_sha256": "1dd58325a75fedb73de0498cfa3f6d1bb195efff9019caf15aa0daf88a334bd6", + "uniform_steps_consumed": 328, + "uniform_uint64_prefix_sha256": "290fc80acb0b5302912a075f314bc1955cf6203a86380703f5eda487ac779a77", + "uniform_uint64_first_eight_hex": [ + "5af98cf544b7dfd3", + "f61f3bf713b3e96d", + "89063dc71a4602cb", + "465b799c406a2134", + "384e2f28304c251e", + "1db70a869a1db7f4", + "1ec71a1f9c78ce90", + "68ccca2d956fed3e" + ], + "task_score": { + "gold_final": "33", + "predicted_final": "33", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 93, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "80d014f7b99cea5b66cbeacd103e90387467decad7a1daa28e6365f236e6a671", + "generated_tokens": 310, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 36114, + 8865, + 7518, + 643, + 279, + 3223, + 13, + 1063, + 643, + 207, + 18, + 15, + 4043, + 1449, + 11, + 207, + 17, + 15, + 11387, + 1449, + 11, + 285, + 207, + 19, + 15, + 2354, + 1449, + 13, + 2086, + 11, + 254, + 3223, + 1604, + 280, + 36114, + 8865, + 362, + 643, + 317, + 207, + 18, + 15, + 919, + 207, + 17, + 15, + 919, + 207, + 19, + 15, + 403, + 207, + 24, + 15, + 13, + 185, + 185, + 4631, + 11, + 7518, + 33368, + 207, + 23, + 280, + 254, + 2354, + 1449, + 8865, + 13, + 2086, + 11, + 254, + 1604, + 280, + 2354, + 1449, + 8865, + 362, + 643, + 1132, + 317, + 207, + 19, + 15, + 570, + 207, + 23, + 403, + 207, + 18, + 17, + 13, + 185, + 185, + 5045, + 344, + 11, + 7518, + 53410, + 207, + 16, + 19, + 691, + 11387, + 1449, + 8865, + 13, + 2086, + 11, + 254, + 3223, + 1604, + 280, + 11387, + 1449, + 8865, + 362, + 643, + 1132, + 317, + 207, + 17, + 15, + 919, + 207, + 16, + 19, + 403, + 207, + 18, + 19, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 2354, + 1449, + 8865, + 418, + 2116, + 279, + 3223, + 13, + 1063, + 643, + 207, + 18, + 17, + 2354, + 1449, + 8865, + 285, + 207, + 18, + 19, + 11387, + 1449, + 8865, + 13, + 2086, + 11, + 254, + 3223, + 1604, + 280, + 8865, + 362, + 643, + 1132, + 317, + 207, + 18, + 17, + 919, + 207, + 18, + 19, + 403, + 207, + 21, + 21, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 254, + 14941, + 5518, + 344, + 245, + 18956, + 12389, + 3995, + 543, + 330, + 245, + 2354, + 1449, + 13, + 429, + 1604, + 280, + 2354, + 1449, + 8865, + 317, + 207, + 18, + 17, + 285, + 254, + 3223, + 1604, + 280, + 8865, + 317, + 207, + 21, + 21, + 13, + 2086, + 11, + 254, + 14941, + 5518, + 317, + 334, + 18, + 17, + 893, + 207, + 21, + 21, + 8, + 575, + 207, + 16, + 15, + 15, + 403, + 207, + 19, + 23, + 13, + 19, + 23, + 13, + 185, + 185, + 49, + 18610, + 276, + 254, + 17016, + 10858, + 11, + 254, + 14941, + 5518, + 344, + 245, + 18956, + 12389, + 3995, + 543, + 330, + 245, + 2354, + 1449, + 317, + 207, + 19, + 23, + 12931, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 19, + 23, + 3013, + 100001 + ], + "generated_token_ids_sha256": "8ea8fd539f3d4b855bf601726a296186e2aac706c179d762f2e063c70f53b325", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many Pokemon cards James has in total. He has 30 fire type, 20 grass type, and 40 water type. So, the total number of Pokemon cards he has is 30 + 20 + 40 = 90.\n\nThen, James loses 8 of the water type cards. So, the number of water type cards he has now is 40 - 8 = 32.\n\nAfter that, James buys 14 more grass type cards. So, the total number of grass type cards he has now is 20 + 14 = 34.\n\nNow, let's find out how many water type cards are left in total. He has 32 water type cards and 34 grass type cards. So, the total number of cards he has now is 32 + 34 = 66.\n\nFinally, let's find out the percentage chance that a randomly picked card will be a water type. The number of water type cards is 32 and the total number of cards is 66. So, the percentage chance is (32 / 66) * 100 = 48.48.\n\nRounding to the nearest integer, the percentage chance that a randomly picked card will be a water type is 48%.\n\nSo the answer is $\\boxed{48}$.", + "text_sha256": "ab3ef8948b79a50963ebd78b5c8c5c088bc7405b2297dd7fa5dfbdb889f97427", + "uniform_steps_consumed": 310, + "uniform_uint64_prefix_sha256": "5b34da14fdec12be1768324462e4ccaeee45845f573dc9ee8135867bfe1de321", + "uniform_uint64_first_eight_hex": [ + "5af98cf544b7dfd3", + "f61f3bf713b3e96d", + "89063dc71a4602cb", + "465b799c406a2134", + "384e2f28304c251e", + "1db70a869a1db7f4", + "1ec71a1f9c78ce90", + "68ccca2d956fed3e" + ], + "task_score": { + "gold_final": "33", + "predicted_final": "48", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 109, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "e5ec32dbf15ed5107599c8fdcde9c25cf00aaf3ab58a5fcf4f677f18d2d68f2f", + "generated_tokens": 251, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 36114, + 8865, + 7518, + 643, + 279, + 3223, + 13, + 1063, + 643, + 207, + 18, + 15, + 4043, + 1449, + 11, + 207, + 17, + 15, + 11387, + 1449, + 11, + 285, + 207, + 19, + 15, + 2354, + 1449, + 13, + 2086, + 11, + 254, + 3223, + 1604, + 280, + 8865, + 317, + 207, + 18, + 15, + 919, + 207, + 17, + 15, + 919, + 207, + 19, + 15, + 403, + 207, + 24, + 15, + 8865, + 13, + 185, + 185, + 5045, + 13916, + 207, + 23, + 280, + 254, + 2354, + 1449, + 8865, + 11, + 362, + 1132, + 643, + 207, + 19, + 15, + 570, + 207, + 23, + 403, + 207, + 18, + 17, + 2354, + 1449, + 8865, + 13, + 185, + 185, + 5045, + 10915, + 207, + 16, + 19, + 691, + 11387, + 1449, + 8865, + 11, + 362, + 1132, + 643, + 207, + 17, + 15, + 919, + 207, + 16, + 19, + 403, + 207, + 18, + 19, + 11387, + 1449, + 8865, + 13, + 185, + 185, + 3139, + 11, + 254, + 3223, + 1604, + 280, + 8865, + 362, + 643, + 1132, + 317, + 207, + 18, + 17, + 334, + 8948, + 1449, + 8, + 919, + 207, + 18, + 19, + 334, + 34382, + 1449, + 8, + 403, + 207, + 21, + 21, + 8865, + 13, + 185, + 185, + 549, + 14941, + 5518, + 344, + 245, + 18956, + 12389, + 3995, + 543, + 330, + 245, + 2354, + 1449, + 317, + 254, + 1604, + 280, + 2354, + 1449, + 8865, + 13429, + 457, + 254, + 3223, + 1604, + 280, + 8865, + 11, + 2602, + 207, + 16, + 15, + 15, + 13, + 207, + 185, + 185, + 3139, + 11, + 254, + 14941, + 5518, + 317, + 334, + 18, + 17, + 893, + 207, + 21, + 21, + 8, + 575, + 207, + 16, + 15, + 15, + 403, + 207, + 19, + 23, + 13, + 19, + 23, + 12931, + 185, + 185, + 49, + 11277, + 276, + 254, + 17016, + 10858, + 11, + 254, + 14941, + 5518, + 317, + 207, + 19, + 23, + 12931, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 19, + 23, + 3013, + 100001 + ], + "generated_token_ids_sha256": "eeebfcc26f887b6a51cf61359d82759c2b372dafd88892e84c66874f1c264bca", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many Pokemon cards James has in total. He has 30 fire type, 20 grass type, and 40 water type. So, the total number of cards is 30 + 20 + 40 = 90 cards.\n\nAfter losing 8 of the water type cards, he now has 40 - 8 = 32 water type cards.\n\nAfter buying 14 more grass type cards, he now has 20 + 14 = 34 grass type cards.\n\nSo, the total number of cards he has now is 32 (water type) + 34 (grass type) = 66 cards.\n\nThe percentage chance that a randomly picked card will be a water type is the number of water type cards divided by the total number of cards, times 100. \n\nSo, the percentage chance is (32 / 66) * 100 = 48.48%.\n\nRounded to the nearest integer, the percentage chance is 48%.\n\nSo the answer is $\\boxed{48}$.", + "text_sha256": "7f4fde5414a143ab3a69f6063a2002c81007415525644425dc542734625ffc4d", + "uniform_steps_consumed": 251, + "uniform_uint64_prefix_sha256": "945faf0ee1cca2e1c049538dafcbccbe545c5a700458a69199d14f92fe154cbd", + "uniform_uint64_first_eight_hex": [ + "5af98cf544b7dfd3", + "f61f3bf713b3e96d", + "89063dc71a4602cb", + "465b799c406a2134", + "384e2f28304c251e", + "1db70a869a1db7f4", + "1ec71a1f9c78ce90", + "68ccca2d956fed3e" + ], + "task_score": { + "gold_final": "33", + "predicted_final": "48", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1128", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 11, + "selection_rank": "020803c399cd482ba6ad3ca246e7c695d62e95673fd612481a8f9ac21f646e54", + "source_text_sha256": "9105ce5963e380fed4744960fecf97a99f44de151f6b4d5fc2c48e8817f3225d", + "source_characters": 101, + "source_tokens": 31, + "prompt_tokens_by_condition": { + "s0_eos": 54, + "s1_eos": 70, + "s0_period": 54, + "s1_period": 70 + }, + "batch_prompt_tokens_after_left_padding": 70, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 5862207585740802324, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "db34d52e45222aa10592283f70aa6755db3b4a81850a608f56e496d383e92ab5", + "cuda_device_sha256": [ + "dcb3c1d34e841b099bd70c5e91f25120cf441ef45d1d1bdc7c5a347818d8ec6c" + ], + "cuda_combined_sha256": "a802794c25c997de33d6b5230df283065095f5a12712f73fcd8f73457fa08e75" + }, + "rng_state_after": { + "cpu_sha256": "db34d52e45222aa10592283f70aa6755db3b4a81850a608f56e496d383e92ab5", + "cuda_device_sha256": [ + "dcb3c1d34e841b099bd70c5e91f25120cf441ef45d1d1bdc7c5a347818d8ec6c" + ], + "cuda_combined_sha256": "a802794c25c997de33d6b5230df283065095f5a12712f73fcd8f73457fa08e75" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 146, + "uniform_uint64_sha256": "cabea9fe305f14c6ccdd19337881acb139b9a3cb1aacdf220abf600cf4fb4c88", + "uniform_uint64_first_eight_hex": [ + "4f6f2902a4af3dcd", + "295b6169982688fd", + "f7380e4fd8040850", + "69be6a7733ef8fb8", + "4dda825ab74bd8a8", + "b9cdc293f74c0da9", + "8198181935fd4e67", + "1ea3a674fa50d256" + ], + "uniform_float32_first_eight": [ + 0.3102899193763733, + 0.1615506112575531, + 0.9656990766525269, + 0.4130617678165436, + 0.3041154444217682, + 0.7257959246635437, + 0.5062270164489746, + 0.1196846067905426 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 23.069574235007167, + "peak_cuda_memory_allocated_bytes": 28395600384, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 54, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "4a809c71cf417d0d0d0e0ae53f7a74f55fd5dcd2f2505a0b825fc9c902badc58", + "generated_tokens": 124, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 76282, + 6, + 82, + 1648, + 4500, + 372, + 632, + 13, + 185, + 185, + 12201, + 1555, + 4084, + 11, + 75001, + 438, + 207, + 16, + 21, + 570, + 207, + 17, + 403, + 207, + 16, + 19, + 1555, + 1712, + 13, + 185, + 185, + 12197, + 276, + 254, + 2066, + 11, + 984, + 1555, + 4084, + 11, + 75001, + 6, + 82, + 4500, + 438, + 9682, + 254, + 4500, + 280, + 76282, + 13, + 2086, + 395, + 481, + 3708, + 254, + 6337, + 25, + 207, + 16, + 19, + 403, + 207, + 17, + 53, + 13, + 185, + 185, + 1898, + 8708, + 327, + 632, + 11, + 395, + 18598, + 1572, + 9226, + 280, + 254, + 6337, + 457, + 207, + 17, + 25, + 632, + 403, + 207, + 16, + 19, + 893, + 207, + 17, + 403, + 207, + 22, + 13, + 185, + 185, + 3139, + 11, + 76282, + 317, + 5134, + 207, + 22, + 1555, + 1712, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 22, + 3013, + 100001 + ], + "generated_token_ids_sha256": "409230e40c0b2a0b0644455f0ff51534e67f4eab9902b96ab500fc96ae6b4d54", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote Vince's current age as V.\n\nTwo years ago, Liam was 16 - 2 = 14 years old.\n\nAccording to the problem, two years ago, Liam's age was twice the age of Vince. So we can write the equation: 14 = 2V.\n\nTo solve for V, we divide both sides of the equation by 2: V = 14 / 2 = 7.\n\nSo, Vince is currently 7 years old.\n\nSo the answer is $\\boxed{7}$.", + "text_sha256": "85d056ce546b5f7a86d7eeffdb6baeabd12c321c6b4b3fdbd00a18dc7f299295", + "uniform_steps_consumed": 124, + "uniform_uint64_prefix_sha256": "7335abcc07a3b33b54f1a01e739669ac2ba26c636ce97701f0e22bc4c12fe91c", + "uniform_uint64_first_eight_hex": [ + "4f6f2902a4af3dcd", + "295b6169982688fd", + "f7380e4fd8040850", + "69be6a7733ef8fb8", + "4dda825ab74bd8a8", + "b9cdc293f74c0da9", + "8198181935fd4e67", + "1ea3a674fa50d256" + ], + "task_score": { + "gold_final": "9", + "predicted_final": "7", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 70, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "91dce23ab426b59b7a7a176c47f12f8c582db9dfc1e873e37df1835adb59f7fd", + "generated_tokens": 126, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 76282, + 6, + 82, + 1648, + 4500, + 372, + 632, + 13, + 185, + 185, + 12201, + 1555, + 4084, + 11, + 75001, + 438, + 207, + 16, + 21, + 570, + 207, + 17, + 403, + 207, + 16, + 19, + 1555, + 1712, + 13, + 185, + 185, + 12197, + 276, + 254, + 2066, + 11, + 984, + 1555, + 4084, + 11, + 75001, + 6, + 82, + 4500, + 438, + 9682, + 254, + 4500, + 280, + 76282, + 13, + 2086, + 11, + 395, + 481, + 3708, + 254, + 6337, + 25, + 207, + 16, + 19, + 403, + 207, + 17, + 53, + 13, + 185, + 185, + 1898, + 8708, + 327, + 632, + 11, + 395, + 18598, + 1572, + 9226, + 280, + 254, + 6337, + 457, + 207, + 17, + 25, + 185, + 185, + 53, + 403, + 207, + 16, + 19, + 893, + 207, + 17, + 403, + 207, + 22, + 185, + 185, + 3139, + 11, + 76282, + 317, + 5134, + 207, + 22, + 1555, + 1712, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 22, + 3013, + 100001 + ], + "generated_token_ids_sha256": "5ddd77291ff1fac6b023c5977569cc9901b4f47b219a4503dcb6745566e9123f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote Vince's current age as V.\n\nTwo years ago, Liam was 16 - 2 = 14 years old.\n\nAccording to the problem, two years ago, Liam's age was twice the age of Vince. So, we can write the equation: 14 = 2V.\n\nTo solve for V, we divide both sides of the equation by 2:\n\nV = 14 / 2 = 7\n\nSo, Vince is currently 7 years old.\n\nSo the answer is $\\boxed{7}$.", + "text_sha256": "6b870a451912f62fb333a29e4655d0e8b1ce8e9cbe0a006c12b617db69ade528", + "uniform_steps_consumed": 126, + "uniform_uint64_prefix_sha256": "25317c149768f3d0cde3f9a57cfca34bb26bfb8381c7893abee24f8bf29247b2", + "uniform_uint64_first_eight_hex": [ + "4f6f2902a4af3dcd", + "295b6169982688fd", + "f7380e4fd8040850", + "69be6a7733ef8fb8", + "4dda825ab74bd8a8", + "b9cdc293f74c0da9", + "8198181935fd4e67", + "1ea3a674fa50d256" + ], + "task_score": { + "gold_final": "9", + "predicted_final": "7", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 54, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "69e16e16f7de2aa9e6e978b54d858b6114fa15bd0eb0b3b0fa96765ea1dd0407", + "generated_tokens": 128, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 76282, + 6, + 82, + 1648, + 4500, + 372, + 632, + 13, + 185, + 185, + 12201, + 1555, + 4084, + 11, + 75001, + 438, + 207, + 16, + 21, + 570, + 207, + 17, + 403, + 207, + 16, + 19, + 1555, + 1712, + 13, + 185, + 185, + 12197, + 276, + 254, + 2066, + 11, + 984, + 1555, + 4084, + 11, + 75001, + 6, + 82, + 4500, + 438, + 9682, + 254, + 4500, + 280, + 76282, + 13, + 2086, + 395, + 481, + 3708, + 437, + 372, + 274, + 6337, + 25, + 207, + 16, + 19, + 403, + 207, + 17, + 53, + 13, + 185, + 185, + 1898, + 8708, + 327, + 632, + 11, + 395, + 18598, + 1572, + 9226, + 280, + 254, + 6337, + 457, + 207, + 17, + 25, + 185, + 185, + 53, + 403, + 207, + 16, + 19, + 893, + 207, + 17, + 403, + 207, + 22, + 13, + 185, + 185, + 3139, + 11, + 76282, + 317, + 5134, + 207, + 22, + 1555, + 1712, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 22, + 3013, + 100001 + ], + "generated_token_ids_sha256": "012b66fdfbc37ceb78f5f4e8e01193688a87116cf83a6e6170571fea772a6e9d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote Vince's current age as V.\n\nTwo years ago, Liam was 16 - 2 = 14 years old.\n\nAccording to the problem, two years ago, Liam's age was twice the age of Vince. So we can write this as an equation: 14 = 2V.\n\nTo solve for V, we divide both sides of the equation by 2:\n\nV = 14 / 2 = 7.\n\nSo, Vince is currently 7 years old.\n\nSo the answer is $\\boxed{7}$.", + "text_sha256": "31067dd040a83fa8de36d454fcdc255d1564d4f236399cb74ec199b5a827073c", + "uniform_steps_consumed": 128, + "uniform_uint64_prefix_sha256": "2a221e721049f41c909c44769847f1ca82158dd0b05e5cbafc821d1392b1bf90", + "uniform_uint64_first_eight_hex": [ + "4f6f2902a4af3dcd", + "295b6169982688fd", + "f7380e4fd8040850", + "69be6a7733ef8fb8", + "4dda825ab74bd8a8", + "b9cdc293f74c0da9", + "8198181935fd4e67", + "1ea3a674fa50d256" + ], + "task_score": { + "gold_final": "9", + "predicted_final": "7", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 70, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6598b377c09f90a8dc9e1771d1472c85c7359032287ce8b10869a74162b6f8c6", + "generated_tokens": 146, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 76282, + 6, + 82, + 1648, + 4500, + 372, + 632, + 13, + 185, + 185, + 12201, + 1555, + 4084, + 11, + 75001, + 6, + 82, + 4500, + 438, + 207, + 16, + 21, + 570, + 207, + 17, + 403, + 207, + 16, + 19, + 1555, + 1712, + 13, + 185, + 185, + 12197, + 276, + 254, + 2066, + 11, + 984, + 1555, + 4084, + 11, + 75001, + 6, + 82, + 4500, + 438, + 9682, + 254, + 4500, + 280, + 76282, + 13, + 2086, + 11, + 395, + 481, + 3708, + 437, + 5306, + 372, + 25, + 185, + 185, + 16, + 19, + 403, + 207, + 17, + 53, + 185, + 185, + 1898, + 1275, + 76282, + 6, + 82, + 1648, + 4500, + 11, + 395, + 933, + 276, + 8708, + 437, + 6337, + 327, + 632, + 13, + 1003, + 481, + 536, + 437, + 457, + 38176, + 1572, + 9226, + 280, + 254, + 6337, + 457, + 207, + 17, + 25, + 185, + 185, + 53, + 403, + 207, + 16, + 19, + 893, + 207, + 17, + 403, + 207, + 22, + 185, + 185, + 3139, + 11, + 76282, + 317, + 5134, + 207, + 22, + 1555, + 1712, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 22, + 3013, + 100001 + ], + "generated_token_ids_sha256": "4b964e74637c0f5e0c102da76e46f4058659697053d42c9aebc48c57303cd440", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote Vince's current age as V.\n\nTwo years ago, Liam's age was 16 - 2 = 14 years old.\n\nAccording to the problem, two years ago, Liam's age was twice the age of Vince. So, we can write this relationship as:\n\n14 = 2V\n\nTo find Vince's current age, we need to solve this equation for V. We can do this by dividing both sides of the equation by 2:\n\nV = 14 / 2 = 7\n\nSo, Vince is currently 7 years old.\n\nSo the answer is $\\boxed{7}$.", + "text_sha256": "3c5ed08e58eb0b5b5f9084e8012c537cb5ce74d7f7b7a58a5c622c208ed72018", + "uniform_steps_consumed": 146, + "uniform_uint64_prefix_sha256": "cabea9fe305f14c6ccdd19337881acb139b9a3cb1aacdf220abf600cf4fb4c88", + "uniform_uint64_first_eight_hex": [ + "4f6f2902a4af3dcd", + "295b6169982688fd", + "f7380e4fd8040850", + "69be6a7733ef8fb8", + "4dda825ab74bd8a8", + "b9cdc293f74c0da9", + "8198181935fd4e67", + "1ea3a674fa50d256" + ], + "task_score": { + "gold_final": "9", + "predicted_final": "7", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0760", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 12, + "selection_rank": "0208e9afa6cd76d86a6e08fecb0736003ef967fa0a434352c3c4053fdd11b5a2", + "source_text_sha256": "65a55bc0c16200440b69c4cef6334f0a33798b1fd5a1c079300911ebccb75a06", + "source_characters": 219, + "source_tokens": 63, + "prompt_tokens_by_condition": { + "s0_eos": 88, + "s1_eos": 104, + "s0_period": 88, + "s1_period": 104 + }, + "batch_prompt_tokens_after_left_padding": 104, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 6173637957991496715, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "bd87d33ca213a5e34d593278ed566a8db5bbe6aa52f289095a0a5371f72fb593", + "cuda_device_sha256": [ + "9d42f1fe068f55e9ee481bc6f93562a17923faab29c8d34024678b442a09d04c" + ], + "cuda_combined_sha256": "9c52b09d04c464758d6de65e605fc8c93fe8cd4804d7b514e56e06bca3a8dfd2" + }, + "rng_state_after": { + "cpu_sha256": "bd87d33ca213a5e34d593278ed566a8db5bbe6aa52f289095a0a5371f72fb593", + "cuda_device_sha256": [ + "9d42f1fe068f55e9ee481bc6f93562a17923faab29c8d34024678b442a09d04c" + ], + "cuda_combined_sha256": "9c52b09d04c464758d6de65e605fc8c93fe8cd4804d7b514e56e06bca3a8dfd2" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 179, + "uniform_uint64_sha256": "7b7d7b5d3b1ee48f4f0ff8e35edd782230201c38738634a7df0f620cb8c4459e", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "uniform_float32_first_eight": [ + 0.4944866895675659, + 0.7738664150238037, + 0.9941684007644653, + 0.5249848365783691, + 0.15910223126411438, + 0.9330746531486511, + 0.710537850856781, + 0.17256154119968414 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 26.035184910986573, + "peak_cuda_memory_allocated_bytes": 28543801856, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 88, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "1029105509171d0da7873f207386bc028bbfc96975d90ef2d9ad497c7df5fcc9", + "generated_tokens": 157, + "generated_token_ids": [ + 207, + 17, + 15, + 4, + 280, + 207, + 20, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 11, + 558, + 207, + 17, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 20, + 15, + 403, + 207, + 16, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 13, + 185, + 549, + 9325, + 1245, + 418, + 207, + 20, + 15, + 570, + 207, + 16, + 15, + 403, + 207, + 19, + 15, + 1245, + 13, + 185, + 21, + 15, + 4, + 280, + 254, + 9325, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 11, + 558, + 207, + 21, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 19, + 15, + 403, + 207, + 17, + 19, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 13, + 185, + 549, + 1610, + 280, + 254, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 11, + 558, + 207, + 19, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 16, + 21, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 14494, + 11, + 207, + 16, + 21, + 1245, + 1378, + 344, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 21, + 100001 + ], + "generated_token_ids_sha256": "be807c966edfa34c177033030e292f740323a2a5ffb37bef771ba71c9a3d44bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 20% of 50 people think horse #2 will win, so 20/100 * 50 = 10 people think horse #2 will win.\nThe remaining people are 50 - 10 = 40 people.\n60% of the remaining people think horse #7 will win, so 60/100 * 40 = 24 people think horse #7 will win.\nThe rest of the people think horse #12 will win, so 40 - 24 = 16 people think horse #12 will win.\nTherefore, 16 people think that horse #12 will win.\nThe answer is: 16", + "text_sha256": "b3a11aacd5c64e35f5042470f32598d3804efe06e6e214cd4dcfba2d8bb6916b", + "uniform_steps_consumed": 157, + "uniform_uint64_prefix_sha256": "af1acbfc6581803d84552aaeebadb255a5dfb680b3fc867f1c927bf5f1b01404", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 104, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "a8162315985546595aa2c526b2f3dca76b2843f6c6fbe6e3c91379d6a9af4fe3", + "generated_tokens": 157, + "generated_token_ids": [ + 207, + 17, + 15, + 4, + 280, + 207, + 20, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 11, + 558, + 207, + 17, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 20, + 15, + 403, + 207, + 16, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 13, + 185, + 549, + 9325, + 1245, + 418, + 207, + 20, + 15, + 570, + 207, + 16, + 15, + 403, + 207, + 19, + 15, + 1245, + 13, + 185, + 21, + 15, + 4, + 280, + 254, + 9325, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 11, + 558, + 207, + 21, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 19, + 15, + 403, + 207, + 17, + 19, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 13, + 185, + 549, + 1610, + 280, + 254, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 11, + 558, + 207, + 19, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 16, + 21, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 14494, + 11, + 207, + 16, + 21, + 1245, + 1378, + 344, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 21, + 100001 + ], + "generated_token_ids_sha256": "be807c966edfa34c177033030e292f740323a2a5ffb37bef771ba71c9a3d44bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 20% of 50 people think horse #2 will win, so 20/100 * 50 = 10 people think horse #2 will win.\nThe remaining people are 50 - 10 = 40 people.\n60% of the remaining people think horse #7 will win, so 60/100 * 40 = 24 people think horse #7 will win.\nThe rest of the people think horse #12 will win, so 40 - 24 = 16 people think horse #12 will win.\nTherefore, 16 people think that horse #12 will win.\nThe answer is: 16", + "text_sha256": "b3a11aacd5c64e35f5042470f32598d3804efe06e6e214cd4dcfba2d8bb6916b", + "uniform_steps_consumed": 157, + "uniform_uint64_prefix_sha256": "af1acbfc6581803d84552aaeebadb255a5dfb680b3fc867f1c927bf5f1b01404", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 88, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "dbfee38d37940e873552bbfad6f624e14c4b87fc8d1a0925825dca4329410086", + "generated_tokens": 150, + "generated_token_ids": [ + 207, + 17, + 15, + 4, + 280, + 207, + 20, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 11, + 558, + 207, + 17, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 20, + 15, + 403, + 207, + 16, + 15, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 13, + 185, + 549, + 9325, + 1245, + 418, + 207, + 20, + 15, + 570, + 207, + 16, + 15, + 403, + 207, + 19, + 15, + 1245, + 13, + 185, + 21, + 15, + 4, + 280, + 254, + 9325, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 11, + 558, + 207, + 21, + 15, + 14, + 16, + 15, + 15, + 575, + 207, + 19, + 15, + 403, + 207, + 17, + 19, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 13, + 185, + 549, + 1610, + 280, + 254, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 11, + 558, + 254, + 1604, + 280, + 1245, + 779, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 317, + 207, + 19, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 16, + 21, + 1245, + 13, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 21, + 3013, + 100001 + ], + "generated_token_ids_sha256": "5406ccd886aaa1e0169608f7cafa622c222443225660fb66af23e576a5c0695d", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 20% of 50 people think horse #2 will win, so 20/100 * 50 = 10 people think horse #2 will win.\nThe remaining people are 50 - 10 = 40 people.\n60% of the remaining people think horse #7 will win, so 60/100 * 40 = 24 people think horse #7 will win.\nThe rest of the people think horse #12 will win, so the number of people who think horse #12 will win is 40 - 24 = 16 people.\nSo the answer is $\\boxed{16}$.", + "text_sha256": "9a032e1ffaa65f6e8aa2ec4b79a924453759cb8a05953ec5853bad9a610fcc9e", + "uniform_steps_consumed": 150, + "uniform_uint64_prefix_sha256": "32331206eff6a8e875cd4dd813525aa0f06c09b03ff699dd8c7b22739a09e334", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 104, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "657517f295b2085f2443ad0a71f8b39eb49782cb686610283c6149b87a68d2bb", + "generated_tokens": 179, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 1245, + 1378, + 7569, + 1501, + 17, + 543, + 3886, + 13, + 207, + 17, + 15, + 4, + 280, + 207, + 20, + 15, + 1245, + 317, + 334, + 17, + 15, + 14, + 16, + 15, + 15, + 23348, + 20, + 15, + 403, + 207, + 16, + 15, + 1245, + 13, + 185, + 185, + 3139, + 11, + 745, + 418, + 207, + 20, + 15, + 570, + 207, + 16, + 15, + 403, + 207, + 19, + 15, + 1245, + 2116, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 1245, + 1378, + 7569, + 1501, + 22, + 543, + 3886, + 13, + 207, + 21, + 15, + 4, + 280, + 254, + 9325, + 207, + 19, + 15, + 1245, + 317, + 334, + 21, + 15, + 14, + 16, + 15, + 15, + 23348, + 19, + 15, + 403, + 207, + 17, + 19, + 1245, + 13, + 185, + 185, + 3139, + 11, + 745, + 418, + 207, + 19, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 16, + 21, + 1245, + 2116, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 2428, + 254, + 9325, + 207, + 16, + 21, + 1245, + 1378, + 7569, + 1501, + 16, + 17, + 543, + 3886, + 13, + 185, + 185, + 3139, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 21, + 3013, + 100001 + ], + "generated_token_ids_sha256": "c6a74b86ecaeb3bd774a2387e5af1e265d1c0af0c7c51952d6805941326ae29b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many people think horse #2 will win. 20% of 50 people is (20/100)*50 = 10 people.\n\nSo, there are 50 - 10 = 40 people left.\n\nNext, let's find out how many people think horse #7 will win. 60% of the remaining 40 people is (60/100)*40 = 24 people.\n\nSo, there are 40 - 24 = 16 people left.\n\nFinally, let's find out how many people think horse #12 will win. All the remaining 16 people think horse #12 will win.\n\nSo, the answer is $\\boxed{16}$.", + "text_sha256": "3e7043ca80254616d12317ab46253f932302a9caa52c07bc7c6e74e26aca901d", + "uniform_steps_consumed": 179, + "uniform_uint64_prefix_sha256": "7b7d7b5d3b1ee48f4f0ff8e35edd782230201c38738634a7df0f620cb8c4459e", + "uniform_uint64_first_eight_hex": [ + "7e96ae145449aced", + "c61c1b99199c1c7a", + "fe81d187eb9daf31", + "8665682fe639bca9", + "28baec6a0980e278", + "eeddfb7da0e922e3", + "b5e5cec6ad3e01e8", + "2c2cfe50462c6bdb" + ], + "task_score": { + "gold_final": "16", + "predicted_final": "16", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1173", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 13, + "selection_rank": "02a7c343f3c4a74787465d7e08787db473bdd1ee6c296341979585eb5da0d3d8", + "source_text_sha256": "6206bc51a78315ffc176309157e0bdb07d5eb50510d21e8555c6370c7fce9df9", + "source_characters": 219, 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"42566f77f1bb4e42727bd069c31cd1f6fcb863adddf267ebcc7835014f76c365" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 248, + "uniform_uint64_sha256": "9b28fef8d908e32c6aa107b5abf6d0c169a76f414f8f02dea80b1f020b1a6f7c", + "uniform_uint64_first_eight_hex": [ + "9e3f38d52ef97d94", + "2e909b2467848d07", + "c0957ba4588ed7b4", + "0700f7a51cbe9987", + "a6b36bea44b2e603", + "41a8a0570088c9f6", + "c5ed692b7e686912", + "b81578a8f3266202" + ], + "uniform_float32_first_eight": [ + 0.6181522011756897, + 0.18189401924610138, + 0.7522809505462646, + 0.027358511462807655, + 0.6511752605438232, + 0.25647929310798645, + 0.7731538414955139, + 0.7190776467323303 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 42.283144163986435, + "peak_cuda_memory_allocated_bytes": 28687577600, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 84, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "e9028c59c33248d532d0a8b37ff5806c1b5fd5f86294e9cb2799dcbc236ec496", + "generated_tokens": 163, + "generated_token_ids": [ + 429, + 4252, + 4085, + 280, + 54078, + 57139, + 7025, + 363, + 16, + 17, + 285, + 643, + 207, + 16, + 15, + 15, + 57139, + 11, + 558, + 254, + 2295, + 513, + 3204, + 317, + 363, + 16, + 17, + 14, + 16, + 15, + 15, + 403, + 363, + 15, + 13, + 16, + 17, + 513, + 3204, + 13, + 185, + 549, + 3038, + 2408, + 4085, + 643, + 207, + 17, + 15, + 4, + 691, + 57139, + 853, + 254, + 4252, + 4085, + 11, + 558, + 359, + 643, + 207, + 16, + 15, + 15, + 919, + 334, + 17, + 15, + 14, + 16, + 15, + 15, + 23348, + 16, + 15, + 15, + 403, + 207, + 16, + 17, + 15, + 57139, + 13, + 185, + 549, + 2295, + 280, + 254, + 3038, + 2408, + 4085, + 317, + 1592, + 363, + 16, + 17, + 11, + 558, + 254, + 2295, + 513, + 3204, + 317, + 363, + 16, + 17, + 14, + 16, + 17, + 15, + 403, + 363, + 15, + 13, + 16, + 15, + 513, + 3204, + 13, + 185, + 1847, + 340, + 938, + 207, + 16, + 3204, + 513, + 9170, + 11, + 937, + 254, + 1604, + 280, + 19696, + 340, + 481, + 1409, + 327, + 363, + 16, + 317, + 363, + 16, + 27385, + 15, + 13, + 16, + 15, + 403, + 207, + 16, + 15, + 19696, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 15, + 100001 + ], + "generated_token_ids_sha256": "58d6f7c3c14134b6b6b33fe74d20995005fe819fe6bb7be93bd8d9afcc5f64c3", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The regular box of dishwasher pods costs $12 and has 100 pods, so the cost per pod is $12/100 = $0.12 per pod.\nThe special size box has 20% more pods than the regular box, so it has 100 + (20/100)*100 = 120 pods.\nThe cost of the special size box is still $12, so the cost per pod is $12/120 = $0.10 per pod.\nIf you use 1 pod per cycle, then the number of cycles you can run for $1 is $1/$0.10 = 10 cycles.\nThe answer is: 10", + "text_sha256": 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+ 19696, + 13, + 5512, + 340, + 481, + 6, + 83, + 1409, + 245, + 12044, + 280, + 245, + 9170, + 11, + 340, + 481, + 1409, + 207, + 23, + 2201, + 19696, + 13, + 185, + 185, + 1847, + 340, + 938, + 207, + 16, + 3204, + 513, + 9170, + 11, + 937, + 254, + 1604, + 280, + 19696, + 340, + 481, + 1409, + 327, + 363, + 16, + 366, + 254, + 3038, + 4085, + 317, + 363, + 16, + 27385, + 15, + 13, + 16, + 15, + 403, + 207, + 16, + 15, + 19696, + 13, + 185, + 185, + 3139, + 11, + 340, + 481, + 1409, + 628, + 63962, + 90, + 16, + 15, + 759, + 19696, + 366, + 254, + 761, + 4085, + 13, + 100001 + ], + "generated_token_ids_sha256": "3465cd120aa6b2412646f7f738fa676780f4d057f71d0e7975417c158d952462", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The regular box of dishwasher pods costs $12 and has 100 pods, so the cost per pod is $12/100 = $0.12 per pod.\n\nThe special box has 20% more pods than the regular box, which means it has 100 + (20/100)*100 = 120 pods.\n\nAt a cost of $12, the special box has 120 pods, so the cost per pod is $12/120 = $0.10 per pod.\n\nIf you use 1 pod per cycle, then the number of cycles you can run for $1 with the regular box is $1/$0.12 = 8.33 cycles. Since you can't run a fraction of a cycle, you can run 8 full cycles.\n\nIf you use 1 pod per cycle, then the number of cycles you can run for $1 with the special box is $1/$0.10 = 10 cycles.\n\nSo, you can run $\\boxed{10}$ cycles with the new box.", + "text_sha256": "df8acc0bcbd8a2d7350ed91374bdf3fbaef98474a0f93fe5f6092019c4b71eeb", + "uniform_steps_consumed": 248, + "uniform_uint64_prefix_sha256": "9b28fef8d908e32c6aa107b5abf6d0c169a76f414f8f02dea80b1f020b1a6f7c", + "uniform_uint64_first_eight_hex": [ + "9e3f38d52ef97d94", + "2e909b2467848d07", + "c0957ba4588ed7b4", + "0700f7a51cbe9987", + "a6b36bea44b2e603", + "41a8a0570088c9f6", + "c5ed692b7e686912", + "b81578a8f3266202" + ], + "task_score": { + "gold_final": "10", + "predicted_final": "10", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 84, + "left_padding_tokens": 16, + 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1409, + 207, + 16, + 17, + 15, + 57139, + 893, + 207, + 16, + 3204, + 513, + 9170, + 403, + 207, + 16, + 17, + 15, + 19696, + 13, + 185, + 1898, + 1275, + 636, + 946, + 1266, + 359, + 7025, + 276, + 1409, + 207, + 16, + 17, + 15, + 19696, + 11, + 395, + 36419, + 254, + 1604, + 280, + 19696, + 457, + 254, + 2295, + 513, + 9170, + 13, + 185, + 3139, + 11, + 359, + 7025, + 363, + 16, + 17, + 1376, + 207, + 16, + 17, + 15, + 19696, + 403, + 363, + 16, + 19, + 19, + 276, + 1409, + 207, + 16, + 17, + 15, + 19696, + 13, + 185, + 14494, + 11, + 340, + 481, + 1409, + 207, + 16, + 17, + 15, + 19696, + 327, + 363, + 16, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "089b76070587bf3b3109c98ed6afdc91f563b608dbf7029b9e323c1a5de92e04", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The regular box of dishwasher pods costs $12 and has 100 pods.\nThe special box has 20% more pods, so it has 100 + (20% of 100) = 100 + 20 = 120 pods.\nThe special box costs $12 and has 120 pods.\nTo find out how many cycles you can run with the new box, we need to divide the number of pods by the number of cycles.\nIf you use 1 pod per cycle, then you can run 120 pods / 1 pod per cycle = 120 cycles.\nTo find out how much it costs to run 120 cycles, we multiply the number of cycles by the cost per cycle.\nSo, it costs $12 x 120 cycles = $144 to run 120 cycles.\nTherefore, you can run 120 cycles for $1.\nThe answer is: 120", + "text_sha256": "24b389ce1d30dec2dfecf362af868050fa7fc5df015f19ae33f0f79481ba6bfb", + "uniform_steps_consumed": 221, + "uniform_uint64_prefix_sha256": "981aae595afc4b101812a014f3047e059232ac22f388739443991a538e1eddf6", + "uniform_uint64_first_eight_hex": [ + "9e3f38d52ef97d94", + "2e909b2467848d07", + "c0957ba4588ed7b4", + "0700f7a51cbe9987", + "a6b36bea44b2e603", + "41a8a0570088c9f6", + "c5ed692b7e686912", + "b81578a8f3266202" + ], + "task_score": { + "gold_final": "10", + "predicted_final": 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the cost per pod is $12/100 = $0.12 per pod.\nThe special size box has 20% more pods, which means it has 100 + (100 * 20%) = 100 + 20 = 120 pods.\nThe cost of the special size box is still $12, so the cost per pod is $12/120 = $0.10 per pod.\nIf you use 1 pod per cycle, then you can run 120 cycles with the special size box.\nThe cost for 120 cycles is 120 * $0.10 = $12.\nTherefore, you can run 120 dishwashing cycles for $1.\nThe answer is: 120", + "text_sha256": "6b0b2f2cea941759bd8b84249ca5247ba7ff8c36b5277324c1e5c6af1a3cae0d", + "uniform_steps_consumed": 199, + "uniform_uint64_prefix_sha256": "c10b28c8048c807dcca76336d2c16e9d497d4ef9f771d0b730086a7e7f30b2e8", + "uniform_uint64_first_eight_hex": [ + "9e3f38d52ef97d94", + "2e909b2467848d07", + "c0957ba4588ed7b4", + "0700f7a51cbe9987", + "a6b36bea44b2e603", + "41a8a0570088c9f6", + "c5ed692b7e686912", + "b81578a8f3266202" + ], + "task_score": { + "gold_final": "10", + "predicted_final": "120", + "final_numeric_exact": false + } + } + ] + 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miles\n\nNow, let's find the total distance traveled:\nTotal Distance = Distance1 + Distance2\nTotal Distance = 120 miles + 30 miles = 150 miles\n\nFinally, let's calculate the total time taken:\nTotal Time = Time1 + Time2\nTotal Time = 2 hours + 1 hour = 3 hours\n\nNow, we can find the average speed by dividing the total distance by the total time:\nAverage Speed = Total Distance / Total Time\nAverage Speed = 150 miles / 3 hours = 50 mph\n\nSo, the car's average speed during this trip is 50 mph.", + "text_sha256": "31e29399537484479392e0678a28b15986648eb4ab8f8f3f594f431b2065fad7", + "uniform_steps_consumed": 254, + "uniform_uint64_prefix_sha256": "e9b681902534daa15ec3d7e01e9938a97d7fcb579194c697181a1588f725c067", + "uniform_uint64_first_eight_hex": [ + "8a4a3701cb0343f8", + "8266de1c69840d0d", + "d4d0d95ba99ec04b", + "d71e7dacfedd1892", + "eeb019389e47fcae", + "aaf5c8fed1e4aed3", + "b76706d6a223a2af", + "d28ccee3f639e1d9" + ], + "task_score": { + "gold_final": "50", + 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37711, + 22791, + 403, + 207, + 16, + 20, + 15, + 6593, + 3842, + 115, + 207, + 18, + 3821, + 403, + 207, + 20, + 15, + 42622, + 185, + 185, + 549, + 1338, + 6, + 82, + 5137, + 4583, + 2320, + 437, + 7043, + 317, + 207, + 20, + 15, + 42622, + 13, + 100001 + ], + "generated_token_ids_sha256": "be5b1aa682cdbee1bdbde0b725c3740ba055a80219b26255aa91b13f49622f37", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To find the average speed, we need to calculate the total distance traveled and divide it by the total time taken.\n\nFirst, let's calculate the distance traveled at 60 mph for 2 hours:\nDistance = Speed × Time\nDistance = 60 mph × 2 hours = 120 miles\n\nNext, let's calculate the distance traveled at 30 mph for 1 hour:\nDistance = Speed × Time\nDistance = 30 mph × 1 hour = 30 miles\n\nNow, let's find the total distance traveled:\nTotal Distance = Distance1 + Distance2\nTotal Distance = 120 miles + 30 miles = 150 miles\n\nFinally, let's calculate the total time taken:\nTotal Time = Time1 + Time2\nTotal Time = 2 hours + 1 hour = 3 hours\n\nNow, we can find the average speed by dividing the total distance by the total time:\nAverage Speed = Total Distance ÷ Total Time\nAverage Speed = 150 miles ÷ 3 hours = 50 mph\n\nThe car's average speed during this trip is 50 mph.", + "text_sha256": "bb67f39963a043e238849dadaded670303f7b50302fb5a672513d45dea3db545", + "uniform_steps_consumed": 254, + "uniform_uint64_prefix_sha256": "e9b681902534daa15ec3d7e01e9938a97d7fcb579194c697181a1588f725c067", + "uniform_uint64_first_eight_hex": [ + "8a4a3701cb0343f8", + "8266de1c69840d0d", + "d4d0d95ba99ec04b", + "d71e7dacfedd1892", + "eeb019389e47fcae", + "aaf5c8fed1e4aed3", + "b76706d6a223a2af", + "d28ccee3f639e1d9" + ], + "task_score": { + "gold_final": "50", + "predicted_final": "50", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" 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185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 254, + 3223, + 5013, + 32339, + 25, + 185, + 14179, + 46547, + 403, + 46547, + 16, + 919, + 46547, + 17, + 185, + 14179, + 46547, + 403, + 207, + 16, + 17, + 15, + 6593, + 919, + 207, + 18, + 15, + 6593, + 403, + 207, + 16, + 20, + 15, + 6593, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 11462, + 254, + 3223, + 766, + 3443, + 25, + 185, + 14179, + 6930, + 403, + 6930, + 16, + 919, + 6930, + 17, + 185, + 14179, + 6930, + 403, + 207, + 17, + 3821, + 919, + 207, + 16, + 5064, + 403, + 207, + 18, + 3821, + 185, + 185, + 4388, + 11, + 395, + 481, + 1275, + 254, + 5137, + 4583, + 457, + 38176, + 254, + 3223, + 5013, + 457, + 254, + 3223, + 766, + 25, + 185, + 37711, + 22791, + 403, + 19008, + 46547, + 893, + 19008, + 6930, + 185, + 37711, + 22791, + 403, + 207, + 16, + 20, + 15, + 6593, + 893, + 207, + 18, + 3821, + 403, + 207, + 20, + 15, + 42622, + 185, + 185, + 3139, + 11, + 254, + 1338, + 6, + 82, + 5137, + 4583, + 2320, + 437, + 7043, + 317, + 207, + 20, + 15, + 42622, + 13, + 100001 + ], + "generated_token_ids_sha256": "a0ca2283faaca471f853d270c2ad72e29cc7ff47df4eb51bd0048ba3e4515456", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To find the average speed, we need to calculate the total distance traveled and divide it by the total time taken.\n\nFirst, let's calculate the distance traveled at 60 mph for 2 hours:\nDistance = Speed × Time\nDistance = 60 mph × 2 hours = 120 miles\n\nNext, let's calculate the distance traveled at 30 mph for 1 hour:\nDistance = Speed × Time\nDistance = 30 mph × 1 hour = 30 miles\n\nNow, let's find the total distance traveled:\nTotal Distance = Distance1 + Distance2\nTotal Distance = 120 miles + 30 miles = 150 miles\n\nFinally, let's calculate the total time taken:\nTotal Time = Time1 + Time2\nTotal Time = 2 hours + 1 hour = 3 hours\n\nNow, we can find the average speed by dividing the total distance by the total time:\nAverage Speed = Total Distance / Total Time\nAverage Speed = 150 miles / 3 hours = 50 mph\n\nSo, the car's average speed during this trip is 50 mph.", + "text_sha256": "31e29399537484479392e0678a28b15986648eb4ab8f8f3f594f431b2065fad7", + "uniform_steps_consumed": 254, + "uniform_uint64_prefix_sha256": "e9b681902534daa15ec3d7e01e9938a97d7fcb579194c697181a1588f725c067", + "uniform_uint64_first_eight_hex": [ + "8a4a3701cb0343f8", + "8266de1c69840d0d", + "d4d0d95ba99ec04b", + "d71e7dacfedd1892", + "eeb019389e47fcae", + "aaf5c8fed1e4aed3", + "b76706d6a223a2af", + "d28ccee3f639e1d9" + ], + "task_score": { + "gold_final": "50", + "predicted_final": "50", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 83, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7bd7e4fcba2c83e10de453305957a304ba3d1f0e63ea355fcb9dee7868994d50", + "generated_tokens": 246, + 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46547, + 403, + 207, + 16, + 17, + 15, + 6593, + 919, + 207, + 18, + 15, + 6593, + 403, + 207, + 16, + 20, + 15, + 6593, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 11462, + 254, + 3223, + 766, + 3443, + 25, + 185, + 14179, + 6930, + 403, + 6930, + 16, + 919, + 6930, + 17, + 185, + 14179, + 6930, + 403, + 207, + 17, + 3821, + 919, + 207, + 16, + 5064, + 403, + 207, + 18, + 3821, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 254, + 5137, + 4583, + 25, + 185, + 37711, + 22791, + 403, + 19008, + 46547, + 3842, + 115, + 19008, + 6930, + 185, + 37711, + 22791, + 403, + 207, + 16, + 20, + 15, + 6593, + 3842, + 115, + 207, + 18, + 3821, + 403, + 207, + 20, + 15, + 42622, + 185, + 185, + 549, + 1338, + 6, + 82, + 5137, + 4583, + 2320, + 254, + 7043, + 317, + 207, + 20, + 15, + 42622, + 13, + 100001 + ], + "generated_token_ids_sha256": "41b1e30b73033b1fc7013f52b9a112e73f0e6dd18e02f5ffbb3a865fc155d8e0", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To find the average speed, we need to calculate the total distance traveled and divide it by the total time taken.\n\nFirst, let's calculate the distance traveled at 60 mph for 2 hours:\nDistance = Speed × Time\nDistance = 60 mph × 2 hours = 120 miles\n\nNext, let's calculate the distance traveled at 30 mph for 1 hour:\nDistance = Speed × Time\nDistance = 30 mph × 1 hour = 30 miles\n\nNow, let's find the total distance traveled:\nTotal Distance = Distance1 + Distance2\nTotal Distance = 120 miles + 30 miles = 150 miles\n\nNow, let's calculate the total time taken:\nTotal Time = Time1 + Time2\nTotal Time = 2 hours + 1 hour = 3 hours\n\nFinally, let's find the average speed:\nAverage Speed = Total Distance ÷ Total Time\nAverage Speed = 150 miles ÷ 3 hours = 50 mph\n\nThe car's average speed during the trip is 50 mph.", + "text_sha256": "8dcf9f20df002b609ff5bd7340f11d8b861d1844ee4b95cda5cefb65eb4f5860", + "uniform_steps_consumed": 246, + "uniform_uint64_prefix_sha256": "aa99dd352a6cf735539502e82c8741023f44eb05cbb0168bb03d86d0c5801457", + "uniform_uint64_first_eight_hex": [ + "8a4a3701cb0343f8", + "8266de1c69840d0d", + "d4d0d95ba99ec04b", + "d71e7dacfedd1892", + "eeb019389e47fcae", + "aaf5c8fed1e4aed3", + "b76706d6a223a2af", + "d28ccee3f639e1d9" + ], + "task_score": { + "gold_final": "50", + "predicted_final": "50", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0357", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 15, + "selection_rank": "02f701d64bfd4ed535275bd8010260c8884dd2e0ed21a5f102084e82c286f84f", + "source_text_sha256": "dc1b264fc4aefafbed621c9e844315a6e512d5d91ccbdc591d21512a2ab9e855", + "source_characters": 303, + "source_tokens": 87, + "prompt_tokens_by_condition": { + "s0_eos": 111, + "s1_eos": 127, + "s0_period": 111, + "s1_period": 127 + }, + "batch_prompt_tokens_after_left_padding": 127, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 3795099673681670820, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "cb0df036e5f98a305995d981e737e8f971fe2fd0e7ff0fbc9779fc877710fe37", + "cuda_device_sha256": [ + "6e6acb4edc5a54ef71c3a88547674c5b46f2307d72699fc9bf03439929cf0683" + ], + "cuda_combined_sha256": "dd54824ea72e21e125dc4dc2f2c9e4664107513c9a5e15786837214f9ed3fe06" + }, + "rng_state_after": { + "cpu_sha256": "cb0df036e5f98a305995d981e737e8f971fe2fd0e7ff0fbc9779fc877710fe37", + "cuda_device_sha256": [ + "6e6acb4edc5a54ef71c3a88547674c5b46f2307d72699fc9bf03439929cf0683" + ], + "cuda_combined_sha256": "dd54824ea72e21e125dc4dc2f2c9e4664107513c9a5e15786837214f9ed3fe06" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 399, + "uniform_uint64_sha256": "951cd9dc201604a348c06e355022dd54304017c10724f905ed0f25d072163cb5", + "uniform_uint64_first_eight_hex": [ + "44650708b0891c44", + "4dad716bc383eae6", + "d605b2088e2c6b71", + "464adb6c63d444d3", + "a3c6fdbaf95a54df", + "22271c9b2416e478", + "45d1ffb2f5fa183f", + "af26649e4046bdf0" + ], + "uniform_float32_first_eight": [ + 0.2671665549278259, + 0.3034277856349945, + 0.8360244035720825, + 0.2745797336101532, + 0.639755129814148, + 0.1334092915058136, + 0.2727355659008026, + 0.6841796040534973 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 6, + "generation_seconds": 64.5380023420148, + "peak_cuda_memory_allocated_bytes": 29081303040, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 111, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "80150382a8ca8da20d809ee707e6a4cf983c7cf6fa84c9f380c2cdbfc3fc4c11", + "generated_tokens": 299, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 11462, + 254, + 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23701, + 8, + 919, + 363, + 17, + 15, + 334, + 2304, + 12, + 89315, + 31821, + 8, + 403, + 363, + 18, + 15, + 13, + 185, + 185, + 81803, + 6, + 82, + 20061, + 4366, + 711, + 245, + 8423, + 280, + 363, + 24, + 15, + 13, + 429, + 3223, + 2295, + 327, + 12810, + 12, + 70, + 6664, + 11, + 62075, + 23701, + 11, + 285, + 614, + 12, + 89315, + 31821, + 317, + 363, + 18, + 15, + 13, + 2086, + 11, + 254, + 9325, + 8423, + 327, + 33251, + 3997, + 317, + 363, + 24, + 15, + 570, + 363, + 18, + 15, + 403, + 363, + 21, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 11462, + 946, + 1313, + 3997, + 22202, + 481, + 21204, + 13, + 7915, + 2138, + 543, + 2295, + 363, + 20, + 327, + 12810, + 12, + 70, + 6664, + 334, + 13074, + 12810, + 12, + 70, + 6664, + 317, + 363, + 20, + 513, + 4078, + 633, + 2086, + 11, + 366, + 245, + 9325, + 8423, + 280, + 363, + 21, + 15, + 11, + 22202, + 481, + 21204, + 363, + 21, + 15, + 893, + 363, + 20, + 403, + 207, + 16, + 17, + 3997, + 13, + 185, + 185, + 3139, + 11, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "8af193f7a5097497f8a316cd49601d33c27124ea6d1107fe0dc83bfc105d1b25", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's calculate the total cost of mini-golf, arcade tokens, and go-kart rides.\n\nMini-golf for Morgan and her friends will cost $5 per round. Since Morgan wants to play one round, it will cost her $5.\n\nArcade tokens cost $5. Morgan wants to buy $5 in arcade tokens.\n\nRiding the go-karts twice will cost $10 per ride, so two rides will cost $10 * 2 = $20.\n\nSo, the total cost for mini-golf, arcade tokens, and go-kart rides is $5 (mini-golf) + $5 (arcade tokens) + $20 (go-kart rides) = $30.\n\nMorgan's dad gave her a budget of $90. The total cost for mini-golf, arcade tokens, and go-kart rides is $30. So, the remaining budget for inviting friends is $90 - $30 = $60.\n\nNow, let's calculate how many friends Morgan can invite. Each friend will cost $5 for mini-golf (since mini-golf is $5 per round). So, with a remaining budget of $60, Morgan can invite $60 / $5 = 12 friends.\n\nSo, the answer is $\\boxed{12}$.", + "text_sha256": "4490d19144f0fc10ee4e08e04f53d60fb3f3c7bfa21d81591e7c3db3f38f2d4d", + "uniform_steps_consumed": 299, + "uniform_uint64_prefix_sha256": "e62ff5045a04e86f1009f79e147dbe3b2f1cfc6280beaa87ee3aa573fd42d099", + "uniform_uint64_first_eight_hex": [ + "44650708b0891c44", + "4dad716bc383eae6", + "d605b2088e2c6b71", + "464adb6c63d444d3", + "a3c6fdbaf95a54df", + "22271c9b2416e478", + "45d1ffb2f5fa183f", + "af26649e4046bdf0" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "12", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 127, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "24c427bb15bcf70e24b2b78578269d57e5b4b1bad2c35617ae0aa56e3f79e708", + "generated_tokens": 399, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 11462, + 254, + 3223, + 2295, + 280, + 12810, + 12, + 70, + 6664, + 11, + 62075, + 23701, + 11, + 285, + 614, + 12, + 89315, + 31821, + 13, + 185, + 185, + 54337, + 12, + 70, + 6664, + 327, + 22202, + 285, + 711, + 3997, + 543, + 2295, + 363, + 20, + 513, + 4078, + 13, + 5512, + 22202, + 7572, + 276, + 1538, + 634, + 4078, + 11, + 437, + 543, + 2295, + 711, + 363, + 20, + 13, + 185, + 185, + 28638, + 927, + 23701, + 2295, + 363, + 20, + 13, + 22202, + 7572, + 276, + 3471, + 363, + 20, + 279, + 62075, + 23701, + 13, + 185, + 185, + 49, + 3645, + 254, + 614, + 12, + 74, + 9768, + 9682, + 543, + 2295, + 363, + 16, + 15, + 513, + 10502, + 11, + 558, + 984, + 31821, + 543, + 2295, + 363, + 16, + 15, + 575, + 207, + 17, + 403, + 363, + 17, + 15, + 13, + 185, + 185, + 3139, + 11, + 254, + 3223, + 2295, + 327, + 12810, + 12, + 70, + 6664, + 11, + 62075, + 23701, + 11, + 285, + 614, + 12, + 89315, + 31821, + 317, + 363, + 20, + 334, + 37086, + 12, + 70, + 6664, + 8, + 919, + 363, + 20, + 334, + 1809, + 927, + 23701, + 8, + 919, + 363, + 17, + 15, + 334, + 2304, + 12, + 74, + 9768, + 8, + 403, + 363, + 18, + 15, + 13, + 185, + 185, + 81803, + 6, + 82, + 20061, + 4366, + 711, + 245, + 8423, + 280, + 363, + 24, + 15, + 13, + 429, + 3223, + 2295, + 327, + 12810, + 12, + 70, + 6664, + 11, + 62075, + 23701, + 11, + 285, + 614, + 12, + 74, + 9768, + 317, + 363, + 18, + 15, + 13, + 2086, + 11, + 254, + 3744, + 280, + 3054, + 2116, + 327, + 750, + 16722, + 317, + 363, + 24, + 15, + 334, + 71520, + 8, + 570, + 363, + 18, + 15, + 334, + 5756, + 7803, + 8, + 403, + 363, + 21, + 15, + 13, + 185, + 185, + 7094, + 22202, + 7572, + 276, + 1099, + 2049, + 838, + 285, + 711, + 3997, + 521, + 752, + 276, + 1538, + 634, + 4078, + 280, + 12810, + 12, + 70, + 6664, + 11, + 838, + 481, + 21204, + 711, + 3997, + 2645, + 254, + 2295, + 280, + 254, + 12810, + 12, + 70, + 6664, + 24816, + 21479, + 254, + 9325, + 8423, + 13, + 185, + 185, + 4160, + 6, + 82, + 9211, + 254, + 1604, + 280, + 3997, + 838, + 481, + 21204, + 372, + 655, + 77, + 6767, + 429, + 2295, + 280, + 12810, + 12, + 70, + 6664, + 327, + 655, + 77, + 6, + 3997, + 317, + 363, + 20, + 575, + 291, + 13, + 185, + 185, + 1380, + 1121, + 276, + 1275, + 254, + 8397, + 655, + 77, + 6, + 1108, + 344, + 363, + 20, + 575, + 291, + 10551, + 363, + 21, + 15, + 13, + 185, + 185, + 19972, + 3562, + 437, + 13626, + 11, + 395, + 752, + 25, + 185, + 185, + 3, + 20, + 575, + 291, + 10551, + 363, + 21, + 15, + 185, + 185, + 77, + 10551, + 363, + 21, + 15, + 893, + 363, + 20, + 185, + 185, + 77, + 10551, + 207, + 16, + 17, + 185, + 185, + 3139, + 11, + 22202, + 481, + 21204, + 581, + 276, + 207, + 16, + 17, + 3997, + 276, + 711, + 14556, + 4709, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "d38f3ac8571b2f73a100d5688605f4feb68b329b2eb37c3c98fb6faf17808a8b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's calculate the total cost of mini-golf, arcade tokens, and go-kart rides.\n\nMini-golf for Morgan and her friends will cost $5 per round. Since Morgan wants to play one round, this will cost her $5.\n\nArcade tokens cost $5. Morgan wants to buy $5 in arcade tokens.\n\nRiding the go-karts twice will cost $10 per ride, so two rides will cost $10 * 2 = $20.\n\nSo, the total cost for mini-golf, arcade tokens, and go-kart rides is $5 (mini-golf) + $5 (arcade tokens) + $20 (go-karts) = $30.\n\nMorgan's dad gave her a budget of $90. The total cost for mini-golf, arcade tokens, and go-karts is $30. So, the amount of money left for other expenses is $90 (budget) - $30 (expenses) = $60.\n\nSince Morgan wants to make sure she and her friends all get to play one round of mini-golf, she can invite her friends until the cost of the mini-golf rounds equals the remaining budget.\n\nLet's denote the number of friends she can invite as 'n'. The cost of mini-golf for 'n' friends is $5 * n.\n\nWe want to find the largest 'n' such that $5 * n <= $60.\n\nSolving this inequality, we get:\n\n$5 * n <= $60\n\nn <= $60 / $5\n\nn <= 12\n\nSo, Morgan can invite up to 12 friends to her birthday party.\n\nSo the answer is $\\boxed{12}$.", + "text_sha256": "12138a56f5679ff90aef8fd1becaf2140b2912a7051b92637e65c05a6b5b5fa8", + "uniform_steps_consumed": 399, + "uniform_uint64_prefix_sha256": "951cd9dc201604a348c06e355022dd54304017c10724f905ed0f25d072163cb5", + "uniform_uint64_first_eight_hex": [ + "44650708b0891c44", + "4dad716bc383eae6", + "d605b2088e2c6b71", + "464adb6c63d444d3", + "a3c6fdbaf95a54df", + "22271c9b2416e478", + "45d1ffb2f5fa183f", + "af26649e4046bdf0" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "12", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 111, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "86c986a820b0f689a84a6a8122b49949b4e806c65e428e3c48b4e8585ce6f56b", + "generated_tokens": 309, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 11462, + 254, + 3223, + 2295, + 280, + 12810, + 12, + 70, + 6664, + 11, + 62075, + 23701, + 11, + 285, + 614, + 12, + 89315, + 31821, + 13, + 185, + 185, + 54337, + 12, + 70, + 6664, + 327, + 22202, + 285, + 711, + 3997, + 543, + 2295, + 363, + 20, + 513, + 4078, + 13, + 5512, + 22202, + 643, + 363, + 24, + 15, + 8423, + 271, + 327, + 711, + 14556, + 4709, + 11, + 285, + 1319, + 4078, + 280, + 12810, + 12, + 70, + 6664, + 7025, + 363, + 20, + 11, + 838, + 481, + 8296, + 276, + 1538, + 12810, + 12, + 70, + 6664, + 207, + 24, + 15, + 893, + 207, + 20, + 403, + 207, + 16, + 23, + 2602, + 13, + 185, + 185, + 28638, + 927, + 23701, + 2295, + 363, + 20, + 13, + 5512, + 22202, + 643, + 363, + 24, + 15, + 8423, + 271, + 327, + 711, + 14556, + 4709, + 11, + 285, + 1319, + 845, + 280, + 62075, + 23701, + 7025, + 363, + 20, + 11, + 838, + 481, + 8296, + 276, + 3471, + 207, + 24, + 15, + 893, + 207, + 20, + 403, + 207, + 16, + 23, + 6230, + 280, + 62075, + 23701, + 13, + 7915, + 845, + 280, + 23701, + 5410, + 207, + 17, + 20, + 23701, + 11, + 558, + 838, + 481, + 3471, + 207, + 16, + 23, + 575, + 207, + 17, + 20, + 403, + 207, + 19, + 20, + 15, + 23701, + 13, + 185, + 185, + 49, + 3645, + 254, + 614, + 12, + 74, + 9768, + 9682, + 7025, + 363, + 16, + 15, + 513, + 10502, + 11, + 285, + 22202, + 643, + 363, + 24, + 15, + 8423, + 271, + 327, + 711, + 14556, + 4709, + 13, + 2086, + 11, + 838, + 481, + 8296, + 276, + 10502, + 254, + 614, + 12, + 74, + 9768, + 207, + 24, + 15, + 893, + 207, + 16, + 15, + 403, + 207, + 24, + 2602, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 11462, + 946, + 1313, + 3997, + 838, + 481, + 21204, + 13, + 7915, + 4078, + 280, + 12810, + 12, + 70, + 6664, + 11, + 1319, + 2138, + 11, + 285, + 1319, + 10502, + 280, + 254, + 614, + 12, + 74, + 9768, + 7025, + 363, + 20, + 13, + 2086, + 11, + 254, + 1604, + 280, + 3997, + 838, + 481, + 21204, + 317, + 207, + 24, + 15, + 893, + 207, + 20, + 403, + 207, + 16, + 23, + 13, + 185, + 185, + 14494, + 11, + 22202, + 481, + 21204, + 207, + 16, + 23, + 3997, + 276, + 711, + 14556, + 4709, + 13, + 2086, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 23, + 3013, + 100001 + ], + "generated_token_ids_sha256": "a704c7519b3d2d294675886c9ef1732f34ea2494d4ed543229d18d0305b76861", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's calculate the total cost of mini-golf, arcade tokens, and go-kart rides.\n\nMini-golf for Morgan and her friends will cost $5 per round. Since Morgan has $90 budgeted for her birthday party, and each round of mini-golf costs $5, she can afford to play mini-golf 90 / 5 = 18 times.\n\nArcade tokens cost $5. Since Morgan has $90 budgeted for her birthday party, and each set of arcade tokens costs $5, she can afford to buy 90 / 5 = 18 sets of arcade tokens. Each set of tokens contains 25 tokens, so she can buy 18 * 25 = 450 tokens.\n\nRiding the go-karts twice costs $10 per ride, and Morgan has $90 budgeted for her birthday party. So, she can afford to ride the go-karts 90 / 10 = 9 times.\n\nNow, let's calculate how many friends she can invite. Each round of mini-golf, each friend, and each ride of the go-karts costs $5. So, the number of friends she can invite is 90 / 5 = 18.\n\nTherefore, Morgan can invite 18 friends to her birthday party. So the answer is $\\boxed{18}$.", + "text_sha256": "9c8dd4435fa7e0724d270cc927b18f497674267413fdb82dcdfeb989a0477714", + "uniform_steps_consumed": 309, + "uniform_uint64_prefix_sha256": "f5b1c1226e92c99728c6b1bcf1f7bbeed8c249aad11885f58c426630c7a90ff3", + "uniform_uint64_first_eight_hex": [ + "44650708b0891c44", + "4dad716bc383eae6", + "d605b2088e2c6b71", + "464adb6c63d444d3", + "a3c6fdbaf95a54df", + "22271c9b2416e478", + "45d1ffb2f5fa183f", + "af26649e4046bdf0" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "18", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 127, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "367ad4073e1747d8342672ac78cf312d1b26e63f2b81c93824ebec026a804abd", + "generated_tokens": 323, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 11462, + 254, + 3223, + 2295, + 280, + 12810, + 12, + 70, + 6664, + 285, + 614, + 12, + 89315, + 31821, + 327, + 22202, + 285, + 711, + 3997, + 13, + 185, + 185, + 54337, + 12, + 70, + 6664, + 327, + 634, + 4078, + 7025, + 363, + 20, + 513, + 1491, + 13, + 5512, + 22202, + 7572, + 5514, + 276, + 1538, + 12810, + 12, + 70, + 6664, + 11, + 838, + 3277, + 276, + 2622, + 327, + 521, + 711, + 3997, + 372, + 1136, + 13, + 3960, + 6, + 82, + 6049, + 838, + 43475, + 1376, + 3997, + 13, + 2086, + 11, + 254, + 3223, + 2295, + 327, + 12810, + 12, + 70, + 6664, + 317, + 207, + 20, + 87, + 11182, + 13, + 185, + 185, + 49, + 3645, + 254, + 614, + 12, + 74, + 9768, + 7025, + 363, + 16, + 15, + 513, + 10502, + 13, + 5512, + 22202, + 7572, + 276, + 10502, + 9682, + 285, + 1319, + 10502, + 7025, + 363, + 16, + 15, + 11, + 254, + 3223, + 2295, + 327, + 614, + 12, + 74, + 9768, + 317, + 207, + 17, + 575, + 363, + 16, + 15, + 403, + 363, + 17, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 962, + 254, + 2295, + 280, + 12810, + 12, + 70, + 6664, + 285, + 614, + 12, + 74, + 9768, + 276, + 1275, + 254, + 3223, + 8423, + 22202, + 3277, + 13, + 429, + 3223, + 8423, + 317, + 207, + 20, + 87, + 919, + 363, + 17, + 15, + 13, + 185, + 185, + 81803, + 6, + 82, + 20061, + 4366, + 711, + 245, + 8423, + 280, + 363, + 24, + 15, + 13, + 2086, + 11, + 395, + 481, + 845, + 581, + 254, + 6337, + 207, + 20, + 87, + 919, + 363, + 17, + 15, + 403, + 363, + 24, + 15, + 276, + 1275, + 636, + 946, + 1313, + 3997, + 838, + 481, + 21204, + 13, + 185, + 185, + 5723, + 54842, + 363, + 17, + 15, + 473, + 1572, + 9226, + 280, + 254, + 6337, + 276, + 40265, + 254, + 1639, + 366, + 1376, + 25, + 185, + 185, + 20, + 87, + 403, + 363, + 24, + 15, + 570, + 363, + 17, + 15, + 185, + 20, + 87, + 403, + 363, + 22, + 15, + 185, + 185, + 12119, + 11, + 18598, + 1572, + 9226, + 280, + 254, + 6337, + 457, + 207, + 20, + 276, + 8708, + 327, + 1376, + 25, + 185, + 185, + 87, + 403, + 363, + 22, + 15, + 893, + 207, + 20, + 185, + 87, + 403, + 207, + 16, + 19, + 185, + 185, + 3139, + 11, + 22202, + 481, + 21204, + 207, + 16, + 19, + 3997, + 276, + 711, + 14556, + 4709, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 19, + 3013, + 100001 + ], + "generated_token_ids_sha256": "62a9d6f1afb1a8e2c68f6879de84a1bad48d9c5a5915a4d4540f05e15831ca9f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's calculate the total cost of mini-golf and go-kart rides for Morgan and her friends.\n\nMini-golf for one round costs $5 per person. Since Morgan wants everyone to play mini-golf, she needs to pay for all her friends as well. Let's assume she invites x friends. So, the total cost for mini-golf is 5x dollars.\n\nRiding the go-karts costs $10 per ride. Since Morgan wants to ride twice and each ride costs $10, the total cost for go-karts is 2 * $10 = $20.\n\nNow, let's add the cost of mini-golf and go-karts to find the total budget Morgan needs. The total budget is 5x + $20.\n\nMorgan's dad gave her a budget of $90. So, we can set up the equation 5x + $20 = $90 to find out how many friends she can invite.\n\nSubtract $20 from both sides of the equation to isolate the term with x:\n\n5x = $90 - $20\n5x = $70\n\nFinally, divide both sides of the equation by 5 to solve for x:\n\nx = $70 / 5\nx = 14\n\nSo, Morgan can invite 14 friends to her birthday party.\n\nSo the answer is $\\boxed{14}$.", + "text_sha256": "1fd81aa4633a9b4225f4a78dde33b4a7048f54311ce835867262131afd72c5f1", + "uniform_steps_consumed": 323, + "uniform_uint64_prefix_sha256": "cbdcd671cc498fc88f0c28033a5f136d644ae66c8e349f05d02f79bedfa766b0", + "uniform_uint64_first_eight_hex": [ + "44650708b0891c44", + "4dad716bc383eae6", + "d605b2088e2c6b71", + "464adb6c63d444d3", + "a3c6fdbaf95a54df", + "22271c9b2416e478", + "45d1ffb2f5fa183f", + "af26649e4046bdf0" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "14", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1050", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 16, + "selection_rank": "032013ab41bff5a0bd0eff093a92ef002a0dec6e348ebb5d723e58176574151a", + "source_text_sha256": "8af254886db4666b82ef6475cef3644fe4ed391d4eae588c13b19173d19f75ad", + "source_characters": 184, + "source_tokens": 46, + "prompt_tokens_by_condition": { + "s0_eos": 70, + "s1_eos": 86, + "s0_period": 70, + "s1_period": 86 + }, + "batch_prompt_tokens_after_left_padding": 86, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 4393388429752863038, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "cc5af54cb643f8b612cb7a5da3c0c9e5881286c53a9eb762ff24b18a0d0f0f6c", + "cuda_device_sha256": [ + "3b7983bf4b8d46b1b6f47e8bc9d6686f1c616ffe3a4fe56557a8e3426af71edd" + ], + "cuda_combined_sha256": "7a9363b2325d052f7bde5588790fed21fbb422190080f782a6937b8427defd4e" + }, + "rng_state_after": { + "cpu_sha256": "cc5af54cb643f8b612cb7a5da3c0c9e5881286c53a9eb762ff24b18a0d0f0f6c", + "cuda_device_sha256": [ + "3b7983bf4b8d46b1b6f47e8bc9d6686f1c616ffe3a4fe56557a8e3426af71edd" + ], + "cuda_combined_sha256": "7a9363b2325d052f7bde5588790fed21fbb422190080f782a6937b8427defd4e" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 125, + "uniform_uint64_sha256": "db63a3942e5dc072339a06ad43f3f0d8c507e421fa52365e7aedbbe33d0fb8eb", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "uniform_float32_first_eight": [ + 0.7724007368087769, + 0.43604961037635803, + 0.24303677678108215, + 0.27829453349113464, + 0.2006286382675171, + 0.7238835096359253, + 0.7300592064857483, + 0.10418114811182022 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 19.340927674027625, + "peak_cuda_memory_allocated_bytes": 28384542208, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e98dc0c8145a66a67515d1b4f370e93524d62044e2d5fa7ce6e96a517e36255", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "beb2f83427ab5af91303816204b0f541a846a00fdba5749cf0a7074f842d0b26", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6ad773a70875c1f7464f27152ed3995223a8a7b6f5b1361fe979deece32af041", + "generated_tokens": 122, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 13, + 185, + 1898, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 25, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 14494, + 11, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "ecbd88f6d536255cad05f70fe4e18b7f368da3da27767c33f549f0d898db85fb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers.\nTo find out how many kilometers she still needs to drive, we subtract the distance she has already driven from the total distance: 1955 - 1300 = 655 kilometers.\nTherefore, Bernice still needs to drive 655 kilometers.\nThe answer is: 655", + "text_sha256": "82bdba37106207905cebc015dc0ba1188faf908e64ed28168b09c6bb3c3b93ed", + "uniform_steps_consumed": 122, + "uniform_uint64_prefix_sha256": "8f0d55758e3d87fe0e040905abbe9715d34e02a17b02ba6f28ab5780cfb313b9", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "79ae0cf2887a0b4decd82a401d0ab0b7193b59685a8b2c1d931f9b68a3e70279", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "beb2f83427ab5af91303816204b0f541a846a00fdba5749cf0a7074f842d0b26", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "89c88d47315b40ac013df9dfdb518b2c9ab8e55c4d917ee3991d4676e0952ba4", + "generated_tokens": 125, + "generated_token_ids": [ + 11967, + 578, + 643, + 2571, + 11516, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 13, + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 481, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 1439, + 5645, + 19521, + 285, + 2006, + 4433, + 5183, + 13, + 185, + 185, + 14179, + 5013, + 403, + 207, + 16, + 24, + 20, + 20, + 49785, + 185, + 29712, + 2571, + 11516, + 403, + 207, + 18, + 17, + 20, + 49785, + 185, + 185, + 75536, + 5013, + 403, + 19008, + 5013, + 570, + 46547, + 2571, + 11516, + 185, + 75536, + 5013, + 403, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 18, + 17, + 20, + 185, + 75536, + 5013, + 403, + 207, + 16, + 21, + 18, + 15, + 49785, + 185, + 185, + 40673, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 21, + 18, + 15, + 49785, + 276, + 5934, + 2006, + 4433, + 5183, + 13, + 100001 + ], + "generated_token_ids_sha256": "004624477d47ad6e72bef09e0652bfa7d06b335e42b4132cdec0c2364808c0c5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice has already driven 325 kilometers for 4 days. To find out how many kilometers she still needs to drive, we can subtract the distance she has already driven from the total distance between San Diego and New York City.\n\nTotal distance = 1955 kilometers\nDistance already driven = 325 kilometers\n\nRemaining distance = Total distance - Distance already driven\nRemaining distance = 1955 - 325\nRemaining distance = 1630 kilometers\n\nBernice still needs to drive 1630 kilometers to reach New York City.", + "text_sha256": "7f23ded4320098529296bf76398f9f4388a46768ff32b790588ce710c65b9935", + "uniform_steps_consumed": 125, + "uniform_uint64_prefix_sha256": "db63a3942e5dc072339a06ad43f3f0d8c507e421fa52365e7aedbbe33d0fb8eb", + "uniform_uint64_first_eight_hex": [ + "c5bc0dc1568c8692", + "6fa0f2a1a1fc9ee0", + "3e37a89f3eedf420", + "473e4f73b8357b94", + "335c65ef6d35ffb2", + "b9506dfc2aeff15f", + "bae528f057148539", + "1aab9dab3a194b71" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "1630", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 1, + "replicate_label": "T1", + "tape_label": "T1", + "base_seed": 399507326, + "run_seed": 3369221824862927731, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "4c5de2552b5e8a461a734a2059c62b92d2104541d16ae7567816cf0a23c35015", + "cuda_device_sha256": [ + "dee4ac4bd4b88b7ebb000852f5a307ea273d4a1eaba44b4ee36a76486c2ac24c" + ], + "cuda_combined_sha256": "3392775fbd2d96247bfb16a9e16054f63064c9037289c93fb7ce645528ec3920" + }, + "rng_state_after": { + "cpu_sha256": "4c5de2552b5e8a461a734a2059c62b92d2104541d16ae7567816cf0a23c35015", + "cuda_device_sha256": [ + "dee4ac4bd4b88b7ebb000852f5a307ea273d4a1eaba44b4ee36a76486c2ac24c" + ], + "cuda_combined_sha256": "3392775fbd2d96247bfb16a9e16054f63064c9037289c93fb7ce645528ec3920" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 192, + "uniform_uint64_sha256": "5bfc901da38dba9bc8784adb3dd50716e6ba36937e91d352f6801dca2fb7a7f9", + "uniform_uint64_first_eight_hex": [ + "0311b9738bfabe0f", + "3d43afe94c70dbca", + "e080861f6aa54725", + "a5038805e8f2e510", + "ae49379cc2c1f894", + "d95b73211695b962", + "8ed14c0b23bc1203", + "e00bb2a779a26d3e" + ], + "uniform_float32_first_eight": [ + 0.011989203281700611, + 0.23931407928466797, + 0.8769611120223999, + 0.644585132598877, + 0.6808047294616699, + 0.8490516543388367, + 0.5578811168670654, + 0.8751785159111023 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 28.991572234983323, + "peak_cuda_memory_allocated_bytes": 28532741632, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e98dc0c8145a66a67515d1b4f370e93524d62044e2d5fa7ce6e96a517e36255", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "0b280a6b848048b1398ed1e68e140cfc413391cfc38a36cf532b1fec0659e4f7", + "uniform_uint64_first_eight_hex": [ + "0311b9738bfabe0f", + "3d43afe94c70dbca", + "e080861f6aa54725", + "a5038805e8f2e510", + "ae49379cc2c1f894", + "d95b73211695b962", + "8ed14c0b23bc1203", + "e00bb2a779a26d3e" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6ad773a70875c1f7464f27152ed3995223a8a7b6f5b1361fe979deece32af041", + "generated_tokens": 125, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 13, + 185, + 1898, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 13, + 185, + 3139, + 11, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 14494, + 11, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "7f8eca4f41e6a529776f7985a952c35350deb6271d71f935cdb42e68de6c28bd", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers.\nTo find out how many kilometers she still needs to drive, we subtract the distance she has already driven from the total distance.\nSo, 1955 - 1300 = 655 kilometers.\nTherefore, Bernice still needs to drive 655 kilometers.\nThe answer is: 655", + "text_sha256": "d7757d759b94a5bc3515eab2ecefcf4baccc6db9b11eda38eaf2a5e75d3025e1", + "uniform_steps_consumed": 125, + "uniform_uint64_prefix_sha256": "952808ba4ef39f3f00ebf0fea32bfccec6502713ce8cac0fd4fa85fbf3a5d9ad", + "uniform_uint64_first_eight_hex": [ + "0311b9738bfabe0f", + "3d43afe94c70dbca", + "e080861f6aa54725", + "a5038805e8f2e510", + "ae49379cc2c1f894", + "d95b73211695b962", + "8ed14c0b23bc1203", + "e00bb2a779a26d3e" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "79ae0cf2887a0b4decd82a401d0ab0b7193b59685a8b2c1d931f9b68a3e70279", + "generated_tokens": 123, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 13, + 185, + 1898, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 13, + 185, + 3139, + 11, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 40673, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "0af9bff9e0bd203cc82e9dde330912f88bbaf6076bcac4042410e371c329dabd", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers.\nTo find out how many kilometers she still needs to drive, we subtract the distance she has already driven from the total distance.\nSo, 1955 - 1300 = 655 kilometers.\nBernice still needs to drive 655 kilometers.\nThe answer is: 655", + "text_sha256": "28ccabce37e3a9321ba77d60a4427271d6e47f2ccb47c877f0a5d417edd45d9f", + "uniform_steps_consumed": 123, + "uniform_uint64_prefix_sha256": "4f239a6ec3768489b5f72a04fe178220d30ad267dd1cc78b96a4c75dd09eebc1", + "uniform_uint64_first_eight_hex": [ + "0311b9738bfabe0f", + "3d43afe94c70dbca", + "e080861f6aa54725", + "a5038805e8f2e510", + "ae49379cc2c1f894", + "d95b73211695b962", + "8ed14c0b23bc1203", + "e00bb2a779a26d3e" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "89c88d47315b40ac013df9dfdb518b2c9ab8e55c4d917ee3991d4676e0952ba4", + "generated_tokens": 192, + "generated_token_ids": [ + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 1022, + 933, + 276, + 6983, + 946, + 1313, + 49785, + 838, + 643, + 2571, + 11516, + 285, + 937, + 53909, + 344, + 473, + 254, + 3223, + 5013, + 13, + 185, + 185, + 40673, + 578, + 643, + 2571, + 11516, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 13, + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 17354, + 1319, + 1492, + 331, + 5137, + 11, + 395, + 18598, + 254, + 3223, + 49785, + 457, + 254, + 1604, + 280, + 2507, + 25, + 185, + 185, + 18, + 17, + 20, + 49785, + 893, + 207, + 19, + 2507, + 403, + 207, + 23, + 16, + 13, + 17, + 20, + 49785, + 513, + 1492, + 334, + 65493, + 8, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 49785, + 418, + 2116, + 276, + 3797, + 13, + 1003, + 536, + 437, + 457, + 75500, + 254, + 49785, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 25, + 185, + 185, + 16, + 24, + 20, + 20, + 49785, + 334, + 11666, + 5013, + 8, + 570, + 207, + 18, + 17, + 20, + 49785, + 334, + 29333, + 11516, + 8, + 403, + 207, + 16, + 21, + 18, + 15, + 49785, + 334, + 54205, + 5013, + 8, + 185, + 185, + 3139, + 11, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 10750, + 207, + 16, + 21, + 18, + 15, + 49785, + 276, + 5934, + 2006, + 4433, + 5183, + 473, + 5645, + 19521, + 11, + 8696, + 13, + 100001 + ], + "generated_token_ids_sha256": "2889e3628c479d319cc539a85b9c9306f9e3c3b33a5c8c08c587a3c24abb24aa", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To find out how many kilometers Bernice still needs to drive, we first need to determine how many kilometers she has already driven and then subtract that from the total distance.\n\nBernice has already driven 325 kilometers for 4 days. To find out how many kilometers she drove each day on average, we divide the total kilometers by the number of days:\n\n325 kilometers / 4 days = 81.25 kilometers per day (approximately)\n\nNow, we need to find out how many kilometers are left to drive. We do this by subtracting the kilometers she has already driven from the total distance:\n\n1955 kilometers (total distance) - 325 kilometers (already driven) = 1630 kilometers (remaining distance)\n\nSo, Bernice still needs to drive approximately 1630 kilometers to reach New York City from San Diego, California.", + "text_sha256": "5cdec21d7ef66ea559c61336b9195a3f698a880300c6a1a711e45d9d0ca4dd61", + "uniform_steps_consumed": 192, + "uniform_uint64_prefix_sha256": "5bfc901da38dba9bc8784adb3dd50716e6ba36937e91d352f6801dca2fb7a7f9", + "uniform_uint64_first_eight_hex": [ + "0311b9738bfabe0f", + "3d43afe94c70dbca", + "e080861f6aa54725", + "a5038805e8f2e510", + "ae49379cc2c1f894", + "d95b73211695b962", + "8ed14c0b23bc1203", + "e00bb2a779a26d3e" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "1630", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 2, + "replicate_label": "T2", + "tape_label": "T2", + "base_seed": 405284229, + "run_seed": 7899540970088926033, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "90a7fe9a620e0cda678b0e2eec30f3e15a08d0b4d76c852e84c1baedb8b186c5", + "cuda_device_sha256": [ + "49d5ca73a080a05dad430b9d24b72c285fdf2251ca098f06875d107f332a917b" + ], + "cuda_combined_sha256": "ca30dcc64e20b8d048bdc05476552e64d0c1e2145b5af5369bb6652ceeee682e" + }, + "rng_state_after": { + "cpu_sha256": "90a7fe9a620e0cda678b0e2eec30f3e15a08d0b4d76c852e84c1baedb8b186c5", + "cuda_device_sha256": [ + "49d5ca73a080a05dad430b9d24b72c285fdf2251ca098f06875d107f332a917b" + ], + "cuda_combined_sha256": "ca30dcc64e20b8d048bdc05476552e64d0c1e2145b5af5369bb6652ceeee682e" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 127, + "uniform_uint64_sha256": "a1ed64a0759125b066514abd57e4c8059f7d85748bbf8941db80b290b9f794b3", + "uniform_uint64_first_eight_hex": [ + "cfa5e2ad4486667d", + "2adf509807f2f4a5", + "91b4d71fbfae39dc", + "f55f98329e6757e6", + "4665b0a30f394bd9", + "0cc650790526c42e", + "bf5d7beb1e2a9252", + "666725683dc992c3" + ], + "uniform_float32_first_eight": [ + 0.8111249804496765, + 0.16747000813484192, + 0.5691656470298767, + 0.9584898948669434, + 0.27498915791511536, + 0.04990103840827942, + 0.7475202083587646, + 0.4000113904476166 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 18.417863555980148, + "peak_cuda_memory_allocated_bytes": 28388965888, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e98dc0c8145a66a67515d1b4f370e93524d62044e2d5fa7ce6e96a517e36255", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "f27854774bae5b8e38d6ab9848a1d7317a5276e24cb537c6297fea39ea0c0ea2", + "uniform_uint64_first_eight_hex": [ + "cfa5e2ad4486667d", + "2adf509807f2f4a5", + "91b4d71fbfae39dc", + "f55f98329e6757e6", + "4665b0a30f394bd9", + "0cc650790526c42e", + "bf5d7beb1e2a9252", + "666725683dc992c3" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6ad773a70875c1f7464f27152ed3995223a8a7b6f5b1361fe979deece32af041", + "generated_tokens": 87, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 838, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "ae39475800efd1b951145647f509e174e8a9eef35251db1af46a40a6e8e807fc", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so she still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "0b61b096576161bd4eca55d058b7a39ec8ceda140fde7e9ff9cd6610efbe8f82", + "uniform_steps_consumed": 87, + "uniform_uint64_prefix_sha256": "465ea357bc8fe845e95475bf565d70fcf7768df96cdb2692a6ba229a16fcbe79", + "uniform_uint64_first_eight_hex": [ + "cfa5e2ad4486667d", + "2adf509807f2f4a5", + "91b4d71fbfae39dc", + "f55f98329e6757e6", + "4665b0a30f394bd9", + "0cc650790526c42e", + "bf5d7beb1e2a9252", + "666725683dc992c3" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "79ae0cf2887a0b4decd82a401d0ab0b7193b59685a8b2c1d931f9b68a3e70279", + "generated_tokens": 87, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 838, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "ae39475800efd1b951145647f509e174e8a9eef35251db1af46a40a6e8e807fc", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so she still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "0b61b096576161bd4eca55d058b7a39ec8ceda140fde7e9ff9cd6610efbe8f82", + "uniform_steps_consumed": 87, + "uniform_uint64_prefix_sha256": "465ea357bc8fe845e95475bf565d70fcf7768df96cdb2692a6ba229a16fcbe79", + "uniform_uint64_first_eight_hex": [ + "cfa5e2ad4486667d", + "2adf509807f2f4a5", + "91b4d71fbfae39dc", + "f55f98329e6757e6", + "4665b0a30f394bd9", + "0cc650790526c42e", + "bf5d7beb1e2a9252", + "666725683dc992c3" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "89c88d47315b40ac013df9dfdb518b2c9ab8e55c4d917ee3991d4676e0952ba4", + "generated_tokens": 127, + "generated_token_ids": [ + 11967, + 578, + 643, + 2571, + 11516, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 13, + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 481, + 53909, + 254, + 5013, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 1439, + 5645, + 19521, + 285, + 2006, + 4433, + 5183, + 13, + 185, + 185, + 14179, + 5013, + 403, + 207, + 16, + 24, + 20, + 20, + 49785, + 185, + 29712, + 2571, + 11516, + 403, + 207, + 18, + 17, + 20, + 49785, + 185, + 185, + 75536, + 5013, + 403, + 19008, + 5013, + 570, + 46547, + 2571, + 11516, + 185, + 75536, + 5013, + 403, + 207, + 16, + 24, + 20, + 20, + 49785, + 570, + 207, + 18, + 17, + 20, + 49785, + 185, + 75536, + 5013, + 403, + 207, + 16, + 21, + 18, + 15, + 49785, + 185, + 185, + 40673, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 21, + 18, + 15, + 49785, + 276, + 5934, + 2006, + 4433, + 5183, + 13, + 100001 + ], + "generated_token_ids_sha256": "73bbdcf045160a80225c0de41b2c434e4fb912214b36a37d540dad3414aa82e1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice has already driven 325 kilometers for 4 days. To find out how many kilometers she still needs to drive, we can subtract the distance she has already driven from the total distance between San Diego and New York City.\n\nTotal distance = 1955 kilometers\nDistance already driven = 325 kilometers\n\nRemaining distance = Total distance - Distance already driven\nRemaining distance = 1955 kilometers - 325 kilometers\nRemaining distance = 1630 kilometers\n\nBernice still needs to drive 1630 kilometers to reach New York City.", + "text_sha256": "f93fe0811ac02600e3d86341ca7039e8783f46a49ea7bb73efc0dc95ceb3ac50", + "uniform_steps_consumed": 127, + "uniform_uint64_prefix_sha256": "a1ed64a0759125b066514abd57e4c8059f7d85748bbf8941db80b290b9f794b3", + "uniform_uint64_first_eight_hex": [ + "cfa5e2ad4486667d", + "2adf509807f2f4a5", + "91b4d71fbfae39dc", + "f55f98329e6757e6", + "4665b0a30f394bd9", + "0cc650790526c42e", + "bf5d7beb1e2a9252", + "666725683dc992c3" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "1630", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 3, + "replicate_label": "T3", + "tape_label": "T3", + "base_seed": 568701915, + "run_seed": 5817290663232158545, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "f2185dc6c843fd3e75a537f1b00c5c60a1570d0473005304d18c4d9ee1d30863", + "cuda_device_sha256": [ + "ee4c03c06a431d5874c9a7ba72419f8987c898d753e0ea80401a8b87327f6af7" + ], + "cuda_combined_sha256": "a30caf93110bd730e9448951f526809f3ce680a3e146a4124ff2df2b184bc400" + }, + "rng_state_after": { + "cpu_sha256": "f2185dc6c843fd3e75a537f1b00c5c60a1570d0473005304d18c4d9ee1d30863", + "cuda_device_sha256": [ + "ee4c03c06a431d5874c9a7ba72419f8987c898d753e0ea80401a8b87327f6af7" + ], + "cuda_combined_sha256": "a30caf93110bd730e9448951f526809f3ce680a3e146a4124ff2df2b184bc400" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 194, + "uniform_uint64_sha256": "1ccf3ab9d2d2f7429202c4c48a601252a53cbb2d2ee60bc870d2a76848e83315", + "uniform_uint64_first_eight_hex": [ + "7093fd8b30b4e1ab", + "ce4b38b1ccb56153", + "0845362482aefa6c", + "c731ca913584bda3", + "00a2ff6e283419d5", + "517e4cf3b07c8b37", + "f5ff51c7faa32fcf", + "56846c923325490d" + ], + "uniform_float32_first_eight": [ + 0.43975815176963806, + 0.8058353066444397, + 0.03230608254671097, + 0.7781035304069519, + 0.0024871486239135265, + 0.3183334469795227, + 0.9609271287918091, + 0.33795812726020813 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 2, + "generation_seconds": 26.813520868017804, + "peak_cuda_memory_allocated_bytes": 28537165312, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e98dc0c8145a66a67515d1b4f370e93524d62044e2d5fa7ce6e96a517e36255", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "46037ae86ddf2fa7d5cf892e3d6c74d2b20ca675cc6b81f7192f8bf7c9544619", + "uniform_uint64_first_eight_hex": [ + "7093fd8b30b4e1ab", + "ce4b38b1ccb56153", + "0845362482aefa6c", + "c731ca913584bda3", + "00a2ff6e283419d5", + "517e4cf3b07c8b37", + "f5ff51c7faa32fcf", + "56846c923325490d" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "6ad773a70875c1f7464f27152ed3995223a8a7b6f5b1361fe979deece32af041", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "46037ae86ddf2fa7d5cf892e3d6c74d2b20ca675cc6b81f7192f8bf7c9544619", + "uniform_uint64_first_eight_hex": [ + "7093fd8b30b4e1ab", + "ce4b38b1ccb56153", + "0845362482aefa6c", + "c731ca913584bda3", + "00a2ff6e283419d5", + "517e4cf3b07c8b37", + "f5ff51c7faa32fcf", + "56846c923325490d" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 70, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "79ae0cf2887a0b4decd82a401d0ab0b7193b59685a8b2c1d931f9b68a3e70279", + "generated_tokens": 88, + "generated_token_ids": [ + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 11, + 558, + 838, + 17354, + 245, + 3223, + 280, + 207, + 18, + 17, + 20, + 575, + 207, + 19, + 403, + 207, + 16, + 18, + 15, + 15, + 49785, + 13, + 185, + 549, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 207, + 16, + 24, + 20, + 20, + 49785, + 11, + 558, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 24, + 20, + 20, + 570, + 207, + 16, + 18, + 15, + 15, + 403, + 207, + 21, + 20, + 20, + 49785, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 20, + 20, + 100001 + ], + "generated_token_ids_sha256": "fbf4500cf75d2332a77f83f91faae9f6cf941e02f6eda5e4198c03635d42f3bb", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Bernice drove 325 kilometers for 4 days, so she drove a total of 325 * 4 = 1300 kilometers.\nThe total distance from San Diego to New York City is 1955 kilometers, so Bernice still needs to drive 1955 - 1300 = 655 kilometers.\nThe answer is: 655", + "text_sha256": "c1d0f734165ad7fbd626149a8550f9a9a8abf2d213029790b11a82f86d7b40aa", + "uniform_steps_consumed": 88, + "uniform_uint64_prefix_sha256": "46037ae86ddf2fa7d5cf892e3d6c74d2b20ca675cc6b81f7192f8bf7c9544619", + "uniform_uint64_first_eight_hex": [ + "7093fd8b30b4e1ab", + "ce4b38b1ccb56153", + "0845362482aefa6c", + "c731ca913584bda3", + "00a2ff6e283419d5", + "517e4cf3b07c8b37", + "f5ff51c7faa32fcf", + "56846c923325490d" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "655", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "89c88d47315b40ac013df9dfdb518b2c9ab8e55c4d917ee3991d4676e0952ba4", + "generated_tokens": 194, + "generated_token_ids": [ + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 1022, + 933, + 276, + 6983, + 946, + 1313, + 49785, + 838, + 643, + 2571, + 11516, + 285, + 946, + 1313, + 49785, + 838, + 1592, + 3277, + 276, + 3797, + 279, + 3223, + 13, + 185, + 185, + 1380, + 1006, + 344, + 11967, + 578, + 17354, + 207, + 18, + 17, + 20, + 49785, + 327, + 207, + 19, + 2507, + 13, + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 838, + 17354, + 513, + 1492, + 331, + 5137, + 11, + 395, + 18598, + 254, + 3223, + 49785, + 11516, + 457, + 254, + 1604, + 280, + 2507, + 25, + 185, + 185, + 18, + 17, + 20, + 49785, + 893, + 207, + 19, + 2507, + 403, + 207, + 23, + 16, + 13, + 17, + 20, + 49785, + 513, + 1492, + 185, + 185, + 4388, + 11, + 395, + 1006, + 344, + 254, + 3223, + 5013, + 473, + 5645, + 19521, + 276, + 2006, + 4433, + 5183, + 317, + 10750, + 207, + 16, + 24, + 20, + 20, + 49785, + 13, + 2158, + 1275, + 636, + 946, + 1313, + 49785, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 11, + 395, + 53909, + 254, + 49785, + 838, + 643, + 2571, + 11516, + 473, + 254, + 3223, + 5013, + 25, + 185, + 185, + 16, + 24, + 20, + 20, + 49785, + 570, + 207, + 18, + 17, + 20, + 49785, + 403, + 207, + 16, + 21, + 18, + 15, + 49785, + 185, + 185, + 3139, + 11, + 11967, + 578, + 1592, + 3277, + 276, + 3797, + 207, + 16, + 21, + 18, + 15, + 49785, + 276, + 5934, + 711, + 11998, + 13, + 100001 + ], + "generated_token_ids_sha256": "4ca398d32477c3906db7fb8a01d1c2b1de4700e8aaf7af88cc4588e60b45ca0a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To find out how many kilometers Bernice still needs to drive, we first need to determine how many kilometers she has already driven and how many kilometers she still needs to drive in total.\n\nWe know that Bernice drove 325 kilometers for 4 days. To find out how many kilometers she drove per day on average, we divide the total kilometers driven by the number of days:\n\n325 kilometers / 4 days = 81.25 kilometers per day\n\nNow, we know that the total distance from San Diego to New York City is approximately 1955 kilometers. To find out how many kilometers Bernice still needs to drive, we subtract the kilometers she has already driven from the total distance:\n\n1955 kilometers - 325 kilometers = 1630 kilometers\n\nSo, Bernice still needs to drive 1630 kilometers to reach her destination.", + "text_sha256": "89c6327952f2357b08fc9d3308b3d5118f84340587b36f1719874288fb7cdee4", + "uniform_steps_consumed": 194, + "uniform_uint64_prefix_sha256": "1ccf3ab9d2d2f7429202c4c48a601252a53cbb2d2ee60bc870d2a76848e83315", + "uniform_uint64_first_eight_hex": [ + "7093fd8b30b4e1ab", + "ce4b38b1ccb56153", + "0845362482aefa6c", + "c731ca913584bda3", + "00a2ff6e283419d5", + "517e4cf3b07c8b37", + "f5ff51c7faa32fcf", + "56846c923325490d" + ], + "task_score": { + "gold_final": "655", + "predicted_final": "1630", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0951", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 17, + "selection_rank": 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"peak_cuda_memory_allocated_bytes": 28647762944, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "df77a9be24905e684b8a7d1685e5815a926774cab14a7c99bbcee868af90c385", + "generated_tokens": 54, + "generated_token_ids": [ + 1273, + 745, + 418, + 207, + 16, + 15, + 15, + 6769, + 276, + 254, + 15174, + 285, + 254, + 2135, + 317, + 207, + 16, + 13, + 20, + 13193, + 7141, + 11, + 937, + 745, + 418, + 207, + 16, + 15, + 15, + 1376, + 207, + 16, + 13, + 20, + 403, + 207, + 16, + 20, + 15, + 6769, + 279, + 254, + 2135, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 20, + 15, + 100001 + ], + "generated_token_ids_sha256": "15362625ba4bad840a2c87080efb1d6521ff793349c08b4d4436efcb10049cdd", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If there are 100 pages to the inch and the book is 1.5 inches thick, then there are 100 x 1.5 = 150 pages in the book.\nThe answer is: 150", + "text_sha256": "bc427a2de783f2920f78faae677c8ecb0ed1fafdb184d3f44fd3cf9f575dc42e", + "uniform_steps_consumed": 54, + "uniform_uint64_prefix_sha256": "502e27f4b8d44e454dfc157bf614291ed2beb29c420f4cd70822f77adbba071c", + "uniform_uint64_first_eight_hex": [ + "fcb8f6ab79f7e97e", + "529193031be270d1", + "ff850195de6b4ac4", + "043823c171434fe8", + "9705a05c69f7d34e", + "0f5155876744e09b", + "d544c9a554568827", + "a437793586e7ddf1" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "150", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ab2543e3922c7fdaf1239632ca08c57b85a7cc33c49aee7ed6ed414c2a6808db", + "generated_tokens": 67, + "generated_token_ids": [ + 1273, + 745, + 418, + 207, + 16, + 15, + 15, + 6769, + 276, + 254, + 15174, + 285, + 254, + 2135, + 317, + 207, + 16, + 13, + 20, + 13193, + 7141, + 11, + 937, + 745, + 418, + 207, + 16, + 15, + 15, + 1376, + 207, + 16, + 13, + 20, + 403, + 207, + 16, + 20, + 15, + 6769, + 279, + 3223, + 13, + 185, + 14494, + 11, + 745, + 418, + 207, + 16, + 20, + 15, + 6769, + 279, + 254, + 2135, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 20, + 15, + 100001 + ], + "generated_token_ids_sha256": "8fc35b0abdd6379f4ff356c497c5d221153cc47b51b7a3896e7812dea77c13f1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If there are 100 pages to the inch and the book is 1.5 inches thick, then there are 100 x 1.5 = 150 pages in total.\nTherefore, there are 150 pages in the book.\nThe answer is: 150", + "text_sha256": "11db0eb3a27d166a214aff37f07a9e993bc22fdb6a32413b4baa38c161f5b946", + "uniform_steps_consumed": 67, + "uniform_uint64_prefix_sha256": 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207, + 16, + 20, + 15, + 3, + 6769, + 279, + 3223, + 13, + 185, + 6501, + 11, + 1319, + 3322, + 317, + 13644, + 331, + 1572, + 9226, + 11, + 558, + 395, + 933, + 276, + 18598, + 437, + 1604, + 457, + 207, + 17, + 276, + 2654, + 327, + 254, + 4974, + 12, + 35029, + 17298, + 13, + 185, + 14494, + 11, + 745, + 418, + 363, + 16, + 20, + 15, + 14, + 17, + 403, + 357, + 63962, + 90, + 22, + 20, + 759, + 6769, + 279, + 254, + 2135, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 22, + 20, + 100001 + ], + "generated_token_ids_sha256": "256c2765971712d337001828bfb2d8c1c258d06ec7af3c2ad53f6b213f66117a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If there are 100 pages to the inch and the book is 1.5 inches thick, then there are $100 \\times 1.5 = 150$ pages in total.\nHowever, each paper is printed on both sides, so we need to divide this number by 2 to account for the double-sided printing.\nTherefore, there are $150/2 = \\boxed{75}$ pages in the book.\nThe answer is: 75", + "text_sha256": "021389df242766323bb10b3e86558b5bbc588a806dc114cb5f0037f1c83270be", + "uniform_steps_consumed": 107, + "uniform_uint64_prefix_sha256": "c0f2be5e148621c12dee37d84342c279b333df6c89e30f491d91906b58930dc4", + "uniform_uint64_first_eight_hex": [ + "fcb8f6ab79f7e97e", + "529193031be270d1", + "ff850195de6b4ac4", + "043823c171434fe8", + "9705a05c69f7d34e", + "0f5155876744e09b", + "d544c9a554568827", + "a437793586e7ddf1" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "75", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "a5713c63fe0985d7c59b51c38833097bb5a67daae3c2920ef718229b79599b0b", + "generated_tokens": 232, + "generated_token_ids": [ + 2158, + 1275, + 254, + 1604, + 280, + 6769, + 279, + 254, + 2135, + 11, + 395, + 933, + 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pages to the inch. Therefore, the number of paper layers is:\n \\[\n 1.5 \\text{ inches} \\div 100 \\text{ pages/inch} = 0.015 \\text{ layers}\n \\]\n Since each paper is printed on both sides, we have two layers per paper.\n\n2. **Calculate the total number of pages:**\n Since there are two layers per paper and each paper has 100 pages, the total number of pages in the book is:\n \\[\n 2 \\text{ layers/paper} \\times 100 \\text{ pages/paper} = 200 \\text{ pages}\n \\]\n\nTherefore, there are 200 pages in the book.", + "text_sha256": "262c1db9aecc1bb22eb97f3c6539048f7d403f1cd0c8a0aa5c6dd7d4415a6c9d", + "uniform_steps_consumed": 232, + "uniform_uint64_prefix_sha256": "6dd1424e7b2e8687d04db29868fadd2893514b2c712379ca7957c492c77565b9", + "uniform_uint64_first_eight_hex": [ + "fcb8f6ab79f7e97e", + "529193031be270d1", + "ff850195de6b4ac4", + "043823c171434fe8", + "9705a05c69f7d34e", + "0f5155876744e09b", + "d544c9a554568827", + "a437793586e7ddf1" + ], + "task_score": { + "gold_final": "300", + "predicted_final": "200", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0906", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 18, + "selection_rank": "035256813697b847333e8d1e657ea0a5a2793a5f4fd79ec170bad08fc63feba2", + "source_text_sha256": "da2760f4f2f38c084029728114c2017b9ae49d0bf21f8846968cd705038e9cd5", + "source_characters": 186, + "source_tokens": 54, + "prompt_tokens_by_condition": { + "s0_eos": 78, + "s1_eos": 94, + "s0_period": 78, + "s1_period": 94 + }, + "batch_prompt_tokens_after_left_padding": 94, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 1789021388805133072, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "9ccaa345c5e35b4b9be1b3614ab25b2a1ebf8cc672df25ddecfbc298ec0c6315", + "cuda_device_sha256": [ + "706956788c90e0fedd436d1f593c1fa603eaa0bfc8e76a711fad5ae67de34826" + ], + "cuda_combined_sha256": "9dc0e70a152c0b39fada2ea39dddd2b5a9d93ab6cbaded0483dc11077e00685c" + }, + "rng_state_after": { + "cpu_sha256": "9ccaa345c5e35b4b9be1b3614ab25b2a1ebf8cc672df25ddecfbc298ec0c6315", + "cuda_device_sha256": [ + "706956788c90e0fedd436d1f593c1fa603eaa0bfc8e76a711fad5ae67de34826" + ], + "cuda_combined_sha256": "9dc0e70a152c0b39fada2ea39dddd2b5a9d93ab6cbaded0483dc11077e00685c" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 223, + "uniform_uint64_sha256": "8b0beabf64e0c45b02b6fcb6a4e59ca5010fdbb2175590ae0f56d14c179decd7", + "uniform_uint64_first_eight_hex": [ + "01e262e1e5d1e713", + "99d5741e71bab70f", + "0913613a7c3c8994", + "80fcd090fe715369", + "79fd3e5d45bdbb99", + "aab4fc30f5f82bf7", + "ad18f55db42197da", + "015e9bffae5448b6" + ], + "uniform_float32_first_eight": [ + 0.007360630203038454, + 0.6009132862091064, + 0.03545196354389191, + 0.5038576722145081, + 0.47652044892311096, + 0.6668241024017334, + 0.67616206407547, + 0.005349874496459961 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 38.19458130397834, + "peak_cuda_memory_allocated_bytes": 28619006464, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 78, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "c0c6b988c90ca351f3d16b43c329dff218f122e9e09019054007340b59f35477", + "generated_tokens": 136, + "generated_token_ids": [ + 9663, + 643, + 207, + 22, + 5501, + 24948, + 14253, + 285, + 207, + 24, + 3074, + 24948, + 14253, + 11, + 558, + 362, + 643, + 245, + 3223, + 280, + 207, + 22, + 919, + 207, + 24, + 403, + 207, + 16, + 21, + 24948, + 14253, + 13, + 185, + 185, + 2450, + 5131, + 207, + 18, + 5501, + 24948, + 32848, + 327, + 16409, + 11, + 558, + 362, + 643, + 207, + 22, + 570, + 207, + 18, + 403, + 207, + 19, + 5501, + 24948, + 32848, + 2116, + 13, + 185, + 185, + 2450, + 839, + 5131, + 207, + 16, + 14, + 18, + 280, + 586, + 3074, + 24948, + 32848, + 327, + 16409, + 11, + 558, + 362, + 5131, + 207, + 16, + 14, + 18, + 575, + 207, + 24, + 403, + 207, + 18, + 3074, + 24948, + 32848, + 13, + 185, + 185, + 14494, + 11, + 362, + 643, + 207, + 24, + 570, + 207, + 18, + 403, + 207, + 21, + 3074, + 24948, + 32848, + 2116, + 13, + 185, + 185, + 3139, + 11, + 9663, + 643, + 207, + 19, + 5501, + 24948, + 32848, + 285, + 207, + 21, + 3074, + 24948, + 32848, + 2116, + 279, + 586, + 4085, + 13, + 100001 + ], + "generated_token_ids_sha256": "345cd606d60ca1107e2a66f2a8ed1b9735cc9370128c2f17663624a5ff5fa21b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Tim has 7 blue shoe boxes and 9 red shoe boxes, so he has a total of 7 + 9 = 16 shoe boxes.\n\nHe uses 3 blue shoeboxes for fishing, so he has 7 - 3 = 4 blue shoeboxes left.\n\nHe also uses 1/3 of his red shoeboxes for fishing, so he uses 1/3 * 9 = 3 red shoeboxes.\n\nTherefore, he has 9 - 3 = 6 red shoeboxes left.\n\nSo, Tim has 4 blue shoeboxes and 6 red shoeboxes left in his box.", + "text_sha256": "38e324b71c444a2cf7f055fa238e13a7c9fa3e5c73fc3347e989367824b617fd", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "6e06fd69a4ec5decdd27df66ac48ab111770dd371d7147b7c3e09649aa2551c9", + "uniform_uint64_first_eight_hex": [ + "01e262e1e5d1e713", + "99d5741e71bab70f", + "0913613a7c3c8994", + "80fcd090fe715369", + "79fd3e5d45bdbb99", + "aab4fc30f5f82bf7", + "ad18f55db42197da", + "015e9bffae5448b6" + ], + "task_score": { + "gold_final": "10", + "predicted_final": "6", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 94, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "898314e08e48fc820b2c27fe9d9a1ea8a3944674c75148273a695b125a0f8154", + "generated_tokens": 191, + "generated_token_ids": [ + 9663, + 643, + 207, + 22, + 5501, + 24948, + 14253, + 285, + 207, + 24, + 3074, + 24948, + 14253, + 11, + 558, + 362, + 643, + 245, + 3223, + 280, + 207, + 22, + 919, + 207, + 24, + 403, + 207, + 16, + 21, + 24948, + 14253, + 13, + 185, + 185, + 2450, + 5131, + 207, + 18, + 5501, + 24948, + 32848, + 285, + 207, + 16, + 14, + 18, + 280, + 586, + 3074, + 24948, + 32848, + 276, + 614, + 16409, + 13, + 207, + 185, + 185, + 16, + 14, + 18, + 280, + 586, + 3074, + 24948, + 32848, + 317, + 334, + 16, + 14, + 18, + 8, + 575, + 207, + 24, + 403, + 207, + 18, + 3074, + 24948, + 32848, + 13, + 185, + 185, + 3139, + 11, + 362, + 5131, + 245, + 3223, + 280, + 207, + 18, + 334, + 10932, + 8, + 919, + 207, + 18, + 334, + 506, + 8, + 403, + 207, + 21, + 24948, + 32848, + 327, + 16409, + 13, + 185, + 185, + 2450, + 3805, + 366, + 207, + 16, + 21, + 24948, + 32848, + 285, + 1222, + 207, + 21, + 11, + 558, + 362, + 643, + 207, + 16, + 21, + 570, + 207, + 21, + 403, + 207, + 16, + 15, + 24948, + 32848, + 2116, + 13, + 185, + 185, + 14494, + 11, + 9663, + 643, + 207, + 16, + 15, + 3074, + 24948, + 32848, + 285, + 207, + 22, + 5501, + 24948, + 32848, + 2116, + 279, + 586, + 4085, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 15, + 759, + 3074, + 24948, + 14253, + 285, + 628, + 63962, + 90, + 22, + 759, + 5501, + 24948, + 14253, + 13, + 100001 + ], + "generated_token_ids_sha256": "d9d7eb803d593fc038c6d312a5a399bf94e4ac006373ddf52b41a81f3903db23", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Tim has 7 blue shoe boxes and 9 red shoe boxes, so he has a total of 7 + 9 = 16 shoe boxes.\n\nHe uses 3 blue shoeboxes and 1/3 of his red shoeboxes to go fishing. \n\n1/3 of his red shoeboxes is (1/3) * 9 = 3 red shoeboxes.\n\nSo, he uses a total of 3 (blue) + 3 (red) = 6 shoeboxes for fishing.\n\nHe started with 16 shoeboxes and used 6, so he has 16 - 6 = 10 shoeboxes left.\n\nTherefore, Tim has 10 red shoeboxes and 7 blue shoeboxes left in his box.\n\nSo the answer is $\\boxed{10}$ red shoe boxes and $\\boxed{7}$ blue shoe boxes.", + "text_sha256": "b6a220447f6409377858c99591e62f57d32ae14d3e2399709a7218906aee8069", + "uniform_steps_consumed": 191, + "uniform_uint64_prefix_sha256": "d526d2f5deaee7c5d2b63cea1052857c8a4dcfc4c4a74b42b012b86941e55ccc", + "uniform_uint64_first_eight_hex": [ + "01e262e1e5d1e713", + "99d5741e71bab70f", + "0913613a7c3c8994", + "80fcd090fe715369", + "79fd3e5d45bdbb99", + "aab4fc30f5f82bf7", + "ad18f55db42197da", + "015e9bffae5448b6" + ], + "task_score": { + "gold_final": "10", + "predicted_final": "7", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 78, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "f5982f5821deb2456df4032e65be24b4a31e8431ada06486d1496f20902a890e", + "generated_tokens": 127, + "generated_token_ids": [ + 9663, + 643, + 245, + 3223, + 280, + 207, + 22, + 919, + 207, + 24, + 403, + 207, + 16, + 21, + 24948, + 14253, + 13, + 185, + 2450, + 5131, + 207, + 18, + 5501, + 24948, + 32848, + 327, + 16409, + 11, + 558, + 362, + 643, + 207, + 22, + 570, + 207, + 18, + 403, + 207, + 19, + 5501, + 24948, + 32848, + 2116, + 13, + 185, + 2450, + 839, + 5131, + 207, + 16, + 14, + 18, + 280, + 586, + 3074, + 24948, + 32848, + 327, + 16409, + 11, + 588, + 317, + 207, + 16, + 14, + 18, + 575, + 207, + 24, + 403, + 207, + 18, + 3074, + 24948, + 32848, + 13, + 185, + 3139, + 362, + 643, + 207, + 24, + 570, + 207, + 18, + 403, + 207, + 21, + 3074, + 24948, + 32848, + 2116, + 13, + 185, + 774, + 3223, + 11, + 9663, + 643, + 207, + 19, + 5501, + 24948, + 32848, + 919, + 207, + 21, + 3074, + 24948, + 32848, + 403, + 207, + 16, + 15, + 24948, + 32848, + 2116, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 15, + 100001 + ], + "generated_token_ids_sha256": "3277de27714665cdeeb57b35af8c68b00b40d82d48a2ea1ed6b1042aed96e8a2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Tim has a total of 7 + 9 = 16 shoe boxes.\nHe uses 3 blue shoeboxes for fishing, so he has 7 - 3 = 4 blue shoeboxes left.\nHe also uses 1/3 of his red shoeboxes for fishing, which is 1/3 * 9 = 3 red shoeboxes.\nSo he has 9 - 3 = 6 red shoeboxes left.\nIn total, Tim has 4 blue shoeboxes + 6 red shoeboxes = 10 shoeboxes left.\nThe answer is: 10", + "text_sha256": "2692530ce5d437bd9f8a6e67491714bd57db89937d37ea09582d324fa4b74b51", + "uniform_steps_consumed": 127, + "uniform_uint64_prefix_sha256": "431132c8394e0b3aa3e3afeb6dedb95e62c8a6843c10d1e73112abe1018659b9", + "uniform_uint64_first_eight_hex": [ + "01e262e1e5d1e713", + "99d5741e71bab70f", + "0913613a7c3c8994", + "80fcd090fe715369", + "79fd3e5d45bdbb99", + "aab4fc30f5f82bf7", + "ad18f55db42197da", + "015e9bffae5448b6" + ], + "task_score": { + "gold_final": "10", + "predicted_final": "10", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 94, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "8dc7598723e2edf15272584e70ef835bc83066b441d18f77cfa4cfc3e81df4b2", + "generated_tokens": 223, + "generated_token_ids": [ + 2158, + 8708, + 437, + 2066, + 11, + 395, + 1022, + 933, + 276, + 1275, + 636, + 946, + 1313, + 24948, + 14253, + 9663, + 5131, + 327, + 16409, + 13, + 185, + 185, + 2450, + 5131, + 207, + 18, + 5501, + 24948, + 32848, + 285, + 207, + 16, + 14, + 18, + 280, + 254, + 3074, + 24948, + 32848, + 13, + 207, + 185, + 185, + 549, + 3223, + 1604, + 280, + 3074, + 24948, + 32848, + 317, + 207, + 24, + 11, + 558, + 207, + 16, + 14, + 18, + 280, + 207, + 24, + 317, + 207, + 24, + 14, + 18, + 403, + 207, + 18, + 13, + 185, + 185, + 3139, + 11, + 362, + 5131, + 207, + 18, + 3074, + 24948, + 32848, + 285, + 207, + 18, + 5501, + 24948, + 32848, + 327, + 16409, + 13, + 185, + 185, + 549, + 3223, + 1604, + 280, + 24948, + 32848, + 1222, + 327, + 16409, + 317, + 207, + 18, + 334, + 506, + 8, + 919, + 207, + 18, + 334, + 10932, + 8, + 403, + 207, + 21, + 24948, + 32848, + 13, + 185, + 185, + 11808, + 15920, + 661, + 207, + 22, + 5501, + 24948, + 32848, + 285, + 207, + 24, + 3074, + 24948, + 32848, + 11, + 558, + 254, + 3223, + 1604, + 280, + 24948, + 32848, + 362, + 661, + 317, + 207, + 22, + 334, + 10932, + 8, + 919, + 207, + 24, + 334, + 506, + 8, + 403, + 207, + 16, + 21, + 24948, + 32848, + 13, + 185, + 185, + 5045, + 1244, + 207, + 21, + 24948, + 32848, + 327, + 16409, + 11, + 254, + 1604, + 280, + 3074, + 285, + 5501, + 24948, + 32848, + 2116, + 279, + 9663, + 6, + 82, + 4085, + 317, + 207, + 16, + 21, + 334, + 11666, + 8, + 570, + 207, + 21, + 334, + 4516, + 8, + 403, + 207, + 16, + 15, + 24948, + 32848, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "7755880ab6523833c53ab99a8779860b85548f6ebb01a26eeb9221f2e91731f8", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " To solve this problem, we first need to find out how many shoe boxes Tim uses for fishing.\n\nHe uses 3 blue shoeboxes and 1/3 of the red shoeboxes. \n\nThe total number of red shoeboxes is 9, so 1/3 of 9 is 9/3 = 3.\n\nSo, he uses 3 red shoeboxes and 3 blue shoeboxes for fishing.\n\nThe total number of shoeboxes used for fishing is 3 (red) + 3 (blue) = 6 shoeboxes.\n\nTim initially had 7 blue shoeboxes and 9 red shoeboxes, so the total number of shoeboxes he had is 7 (blue) + 9 (red) = 16 shoeboxes.\n\nAfter using 6 shoeboxes for fishing, the number of red and blue shoeboxes left in Tim's box is 16 (total) - 6 (used) = 10 shoeboxes.\n\nSo the answer is $\\boxed{10}$.", + "text_sha256": "6fe39e13d0b350db6b8c7082bde167ebb7a777a44354e000708a01fdabd493e3", + "uniform_steps_consumed": 223, + "uniform_uint64_prefix_sha256": "8b0beabf64e0c45b02b6fcb6a4e59ca5010fdbb2175590ae0f56d14c179decd7", + "uniform_uint64_first_eight_hex": [ + "01e262e1e5d1e713", + "99d5741e71bab70f", + "0913613a7c3c8994", + "80fcd090fe715369", + "79fd3e5d45bdbb99", + "aab4fc30f5f82bf7", + "ad18f55db42197da", + "015e9bffae5448b6" + ], + "task_score": { + "gold_final": "10", + "predicted_final": "10", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0092", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 19, + "selection_rank": "036fc57b14ee989e00cea584e28add4f5123d84b4e632c7b777aa2b410ac2c4e", + "source_text_sha256": "30e10116f95bb87840ace44d50ad933c09d0937a25baa8d8f80c76bd7535350a", + "source_characters": 189, + "source_tokens": 51, + "prompt_tokens_by_condition": { + "s0_eos": 75, + "s1_eos": 91, + "s0_period": 75, + "s1_period": 91 + }, + "batch_prompt_tokens_after_left_padding": 91, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 8962768592170391542, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "6a54c23a2a76da3aeb95d8a16b06d4f0af1e3ec28163d310b608a3495a227fa4", + "cuda_device_sha256": [ + "add93dc0e0fec8743c3a5e4848ecb075e03631d23d474e9bab2d5c6f286b3ec3" + ], + "cuda_combined_sha256": "785701f90adaf0a71f3e01f57db3a755c7f094200ff3998a7eaee91b5fd9eee5" + }, + "rng_state_after": { + "cpu_sha256": "6a54c23a2a76da3aeb95d8a16b06d4f0af1e3ec28163d310b608a3495a227fa4", + "cuda_device_sha256": [ + "add93dc0e0fec8743c3a5e4848ecb075e03631d23d474e9bab2d5c6f286b3ec3" + ], + "cuda_combined_sha256": "785701f90adaf0a71f3e01f57db3a755c7f094200ff3998a7eaee91b5fd9eee5" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 153, + "uniform_uint64_sha256": "22135bc7bb1625f04f86f339f75a835ccfa43cb4b60c36a8059aa881fa37ce9b", + "uniform_uint64_first_eight_hex": [ + "244ea9c09ff8465e", + "c6d940a3e6a832f5", + "05dd1b210a62353f", + "c1611388a92d2ad0", + "564c322b7a030677", + "68f9fb11792f6889", + "28de0adadfa5fab7", + "64f8eed236dc48cd" + ], + "uniform_float32_first_eight": [ + 0.14182530343532562, + 0.7767525315284729, + 0.022905059158802032, + 0.755387544631958, + 0.33710014820098877, + 0.4100643992424011, + 0.15963809192180634, + 0.3944234251976013 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 24.134716914995806, + "peak_cuda_memory_allocated_bytes": 28457536000, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "d002b6d7f327797d83282f5b7341cbfaf3d34d2af359d7cb88dd547182bd666c", + "generated_tokens": 153, + "generated_token_ids": [ + 1273, + 7518, + 317, + 207, + 16, + 15, + 285, + 317, + 207, + 16, + 1012, + 14000, + 853, + 79265, + 11, + 937, + 79265, + 317, + 207, + 16, + 15, + 919, + 207, + 16, + 403, + 207, + 16, + 16, + 1555, + 1712, + 13, + 185, + 1847, + 26920, + 317, + 207, + 20, + 1555, + 8097, + 853, + 15617, + 11, + 937, + 26920, + 317, + 207, + 16, + 16, + 570, + 207, + 20, + 403, + 207, + 21, + 1555, + 1712, + 13, + 185, + 1847, + 7518, + 317, + 207, + 16, + 1012, + 14000, + 853, + 79265, + 11, + 937, + 79265, + 317, + 207, + 16, + 15, + 919, + 207, + 16, + 403, + 207, + 16, + 16, + 1555, + 1712, + 13, + 185, + 1847, + 26920, + 317, + 207, + 17, + 1555, + 14000, + 853, + 79265, + 11, + 937, + 26920, + 317, + 207, + 16, + 16, + 570, + 207, + 17, + 403, + 207, + 24, + 1555, + 1712, + 13, + 185, + 7094, + 26920, + 317, + 207, + 20, + 1555, + 8097, + 853, + 15617, + 11, + 937, + 15617, + 317, + 207, + 24, + 570, + 207, + 20, + 403, + 207, + 19, + 1555, + 1712, + 13, + 185, + 14494, + 11, + 15617, + 317, + 207, + 19, + 1555, + 1712, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 19, + 100001 + ], + "generated_token_ids_sha256": "381e09cb9a85679942278a1d3e5863a71b9d3d233a81e7727180404381f9abbd", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If James is 10 and is 1 year younger than Corey, then Corey is 10 + 1 = 11 years old.\nIf Amy is 5 years older than Jackson, then Amy is 11 - 5 = 6 years old.\nIf James is 1 year younger than Corey, then Corey is 10 + 1 = 11 years old.\nIf Amy is 2 years younger than Corey, then Amy is 11 - 2 = 9 years old.\nSince Amy is 5 years older than Jackson, then Jackson is 9 - 5 = 4 years old.\nTherefore, Jackson is 4 years old.\nThe answer is: 4", + "text_sha256": "84b1533954757160a2bc4120853115c1e274be6c160e9b9b4e261045c77118fc", + "uniform_steps_consumed": 153, + "uniform_uint64_prefix_sha256": "22135bc7bb1625f04f86f339f75a835ccfa43cb4b60c36a8059aa881fa37ce9b", + "uniform_uint64_first_eight_hex": [ + "244ea9c09ff8465e", + "c6d940a3e6a832f5", + "05dd1b210a62353f", + "c1611388a92d2ad0", + "564c322b7a030677", + "68f9fb11792f6889", + "28de0adadfa5fab7", + "64f8eed236dc48cd" + ], + "task_score": { + "gold_final": "4", + "predicted_final": "4", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "4e8448e75d26b4d69a3f4667dec227d7e232b309c2cab3fb265a4edbee1fb3bc", + "generated_tokens": 98, + "generated_token_ids": [ + 1273, + 7518, + 317, + 207, + 16, + 15, + 285, + 317, + 207, + 16, + 1012, + 14000, + 853, + 79265, + 11, + 937, + 79265, + 317, + 207, + 16, + 15, + 919, + 207, + 16, + 403, + 207, + 16, + 16, + 1555, + 1712, + 13, + 185, + 1847, + 26920, + 317, + 207, + 20, + 1555, + 8097, + 853, + 15617, + 11, + 937, + 26920, + 317, + 207, + 16, + 16, + 570, + 207, + 20, + 403, + 207, + 21, + 1555, + 1712, + 13, + 185, + 1847, + 7518, + 317, + 207, + 16, + 15, + 285, + 317, + 207, + 16, + 1012, + 14000, + 853, + 79265, + 11, + 937, + 15617, + 317, + 207, + 16, + 16, + 570, + 207, + 16, + 403, + 207, + 16, + 15, + 1555, + 1712, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 15, + 100001 + ], + "generated_token_ids_sha256": "8dea3bbc7ac3ca66256be66ec7849522e4b34853e5868f119d01a02c1bad1c93", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If James is 10 and is 1 year younger than Corey, then Corey is 10 + 1 = 11 years old.\nIf Amy is 5 years older than Jackson, then Amy is 11 - 5 = 6 years old.\nIf James is 10 and is 1 year younger than Corey, then Jackson is 11 - 1 = 10 years old.\nThe answer is: 10", + "text_sha256": "f934d5dd8685c8d0bcf72f5091f570ff2b381d8a08d844c5108d5d2ee9dd2513", + "uniform_steps_consumed": 98, + "uniform_uint64_prefix_sha256": "e94a9ff33e24e3dad6aac1ea6242e1894c89d2056416edfa33083466183ea72b", + "uniform_uint64_first_eight_hex": [ + "244ea9c09ff8465e", + "c6d940a3e6a832f5", + "05dd1b210a62353f", + "c1611388a92d2ad0", + "564c322b7a030677", + "68f9fb11792f6889", + "28de0adadfa5fab7", + "64f8eed236dc48cd" + ], + "task_score": { + "gold_final": "4", + "predicted_final": "10", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 75, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "d06711c090778e3019b41139f1319fae9793a5d1a8508c85ab6f84667438df5b", + "generated_tokens": 82, + "generated_token_ids": [ + 1273, + 7518, + 317, + 207, + 16, + 15, + 285, + 317, + 207, + 16, + 1012, + 14000, + 853, + 79265, + 11, + 937, + 79265, + 317, + 207, + 16, + 15, + 919, + 207, + 16, + 403, + 207, + 16, + 16, + 1555, + 1712, + 13, + 185, + 1847, + 26920, + 317, + 207, + 20, + 1555, + 8097, + 853, + 15617, + 11, + 285, + 79265, + 317, + 207, + 16, + 16, + 11, + 937, + 15617, + 317, + 207, + 16, + 16, + 570, + 207, + 20, + 403, + 207, + 21, + 1555, + 1712, + 13, + 185, + 14494, + 11, + 15617, + 317, + 207, + 21, + 1555, + 1712, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 100001 + ], + "generated_token_ids_sha256": "5fa78969ef22e307f81fbc7d27e19acc9c9e22bfe5fa831a16868dedbe28fd36", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If James is 10 and is 1 year younger than Corey, then Corey is 10 + 1 = 11 years old.\nIf Amy is 5 years older than Jackson, and Corey is 11, then Jackson is 11 - 5 = 6 years old.\nTherefore, Jackson is 6 years old.\nThe answer is: 6", + "text_sha256": "c14196c2a5e6874ae38cf32b1b5d6e1b4cd7def66593cb10eefbc930df7c477e", + "uniform_steps_consumed": 82, + "uniform_uint64_prefix_sha256": "42d28b96d189f048dc8cf3d18283e02bf49918c73510788158db48fec4022ebb", + "uniform_uint64_first_eight_hex": [ + "244ea9c09ff8465e", + "c6d940a3e6a832f5", + "05dd1b210a62353f", + "c1611388a92d2ad0", + "564c322b7a030677", + "68f9fb11792f6889", + "28de0adadfa5fab7", + "64f8eed236dc48cd" + ], + "task_score": { + "gold_final": "4", + "predicted_final": "6", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 91, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b530c55eae02136d524ca3938cb777bb54c68a8f9226f56f281f5676152a096a", + "generated_tokens": 131, + "generated_token_ids": [ + 3960, + 6, + 82, + 8708, + 437, + 3458, + 457, + 3458, + 25, + 185, + 185, + 16, + 13, + 1003, + 1006, + 344, + 7518, + 317, + 207, + 16, + 15, + 1555, + 1712, + 285, + 317, + 207, + 16, + 1012, + 14000, + 853, + 79265, + 13, + 2086, + 11, + 79265, + 317, + 207, + 16, + 15, + 919, + 207, + 16, + 403, + 207, + 16, + 16, + 1555, + 1712, + 13, + 185, + 185, + 17, + 13, + 1003, + 839, + 1006, + 344, + 26920, + 317, + 207, + 20, + 1555, + 8097, + 853, + 15617, + 13, + 5512, + 26920, + 317, + 207, + 17, + 1555, + 14000, + 853, + 79265, + 11, + 26920, + 317, + 207, + 16, + 16, + 570, + 207, + 20, + 403, + 207, + 21, + 1555, + 1712, + 13, + 185, + 185, + 18, + 13, + 4201, + 11, + 1962, + 26920, + 317, + 207, + 20, + 1555, + 8097, + 853, + 15617, + 11, + 15617, + 317, + 207, + 21, + 570, + 207, + 20, + 403, + 207, + 16, + 1012, + 1712, + 13, + 185, + 185, + 3139, + 11, + 15617, + 317, + 207, + 16, + 1012, + 1712, + 13, + 100001 + ], + "generated_token_ids_sha256": "d1f7d1f3de0d4195aeb8583dcc47e5afdcb3cd8164e188d485093d4e5a032fb3", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's solve this step by step:\n\n1. We know that James is 10 years old and is 1 year younger than Corey. So, Corey is 10 + 1 = 11 years old.\n\n2. We also know that Amy is 5 years older than Jackson. Since Amy is 2 years younger than Corey, Amy is 11 - 5 = 6 years old.\n\n3. Now, since Amy is 5 years older than Jackson, Jackson is 6 - 5 = 1 year old.\n\nSo, Jackson is 1 year old.", + "text_sha256": "ebc02d10862e3165ec94f96cb83ce641efc1013c0712d3949b0ccdef6b9b614a", + "uniform_steps_consumed": 131, + "uniform_uint64_prefix_sha256": "9a755aea9e7d7fc45d4286cd9aecc956f2aca22bce43de42111b1d901f0db816", + "uniform_uint64_first_eight_hex": [ + "244ea9c09ff8465e", + "c6d940a3e6a832f5", + "05dd1b210a62353f", + "c1611388a92d2ad0", + "564c322b7a030677", + "68f9fb11792f6889", + "28de0adadfa5fab7", + "64f8eed236dc48cd" + ], + "task_score": { + "gold_final": "4", + "predicted_final": "1", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0372", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 20, + "selection_rank": "038cd03fb9104a796adae4930a3b7eae24ea07906d0789b3ceecda2a338b3714", + "source_text_sha256": "7810cb6f7d1e2ec732197a85f05988002b179c41adfcc03895d287e4568c53b5", + "source_characters": 216, + "source_tokens": 50, + "prompt_tokens_by_condition": { + "s0_eos": 74, + "s1_eos": 90, + "s0_period": 74, + "s1_period": 90 + }, + "batch_prompt_tokens_after_left_padding": 90, + "batch_padding_side": "left", + "batch_conditions": 4, + "runs": [ + { + "replicate_index": 0, + "replicate_label": "T0", + "tape_label": "T0", + "base_seed": 2572353518, + "run_seed": 6608818553950725218, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "a01d77df594116ef3d3ec3a7ad1ae0f828f11cf0c08443f315c455f17632f981", + "cuda_device_sha256": [ + "c97174ccdd02fa4f6c738c51c732da1bf9c13d0d2640337762b82cf63fb219ec" + ], + "cuda_combined_sha256": "9ce6cd3b458ab331b51755f653b5a5bb452d38e6cf13dead34dec09376c910e7" + }, + "rng_state_after": { + "cpu_sha256": "a01d77df594116ef3d3ec3a7ad1ae0f828f11cf0c08443f315c455f17632f981", + "cuda_device_sha256": [ + "c97174ccdd02fa4f6c738c51c732da1bf9c13d0d2640337762b82cf63fb219ec" + ], + "cuda_combined_sha256": "9ce6cd3b458ab331b51755f653b5a5bb452d38e6cf13dead34dec09376c910e7" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 144, + "uniform_uint64_sha256": "387d1f7a2bb6ce1c0fc6a6106dbbe0ed2eaf63760d26e4e6409985cd88392620", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "uniform_float32_first_eight": [ + 0.48332157731056213, + 0.8110373616218567, + 0.5346476435661316, + 0.9343377351760864, + 0.4606841206550598, + 0.2825394868850708, + 0.3054821193218231, + 0.6694387197494507 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 3, + "generation_seconds": 18.955832727981033, + "peak_cuda_memory_allocated_bytes": 28435416064, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 74, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "1da97d92811f80138a65295ddbbc96ff3f08a5ea5154f14ecaa09996ff9cc28e", + "generated_tokens": 136, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 838, + 661, + 12116, + 5561, + 344, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 1002, + 2456, + 838, + 661, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 280, + 12116, + 5561, + 331, + 67653, + 13, + 185, + 185, + 3139, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 254, + 2555, + 280, + 254, + 3821, + 838, + 661, + 331, + 95830, + 11, + 98084, + 11, + 285, + 67653, + 13, + 2608, + 317, + 207, + 18, + 919, + 207, + 17, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "ae3f631d9905a33b15d2943512ef6280d5fdba73c37f27aa08aa45c265a13449", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, she had dance practice that lasted twice as long as Tuesday's night class. This means she had 2 * 1 = 2 hours of dance practice on Saturdays.\n\nSo, the total hours she had dance practice in a week is the sum of the hours she had on Tuesdays, Thursdays, and Saturdays. That is 3 + 2 = 5 hours.\n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "ccf4a2217beade101ba4fa3ebc2eef43c7d67e000586267b7f4b4bd0123f95b6", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "a724d9ee6c759f88e9b21db3b3696a9ab0f46ccf2361ebfb0938ac2361744cee", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 90, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "dcd7dbde77f0a508cc0300b462237203873053146a6a711fb463931395e83157", + "generated_tokens": 136, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 838, + 661, + 12116, + 5561, + 344, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 2086, + 11, + 254, + 3821, + 838, + 661, + 331, + 67653, + 317, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 13, + 185, + 185, + 14494, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 254, + 2555, + 280, + 254, + 3821, + 838, + 661, + 331, + 95830, + 11, + 98084, + 11, + 285, + 67653, + 13, + 2608, + 317, + 207, + 18, + 919, + 207, + 17, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "b741538c8f6a5d48f6ceedac53e7546bc1043331e24a7db3c5065b05d38f5426", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, she had dance practice that lasted twice as long as Tuesday's night class. So, the hours she had on Saturdays is 2 * 1 = 2 hours.\n\nTherefore, the total hours she had dance practice in a week is the sum of the hours she had on Tuesdays, Thursdays, and Saturdays. That is 3 + 2 = 5 hours.\n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "eb43a7846ffcf7b8eba9c48cf1442385aee7cd076eafe0efc64511b128d4d3a7", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "a724d9ee6c759f88e9b21db3b3696a9ab0f46ccf2361ebfb0938ac2361744cee", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 74, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "0e4e785de08afa4e7cf9adb609b6f260991c0a93c34fbedb331a5acd988fa023", + "generated_tokens": 136, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 838, + 661, + 12116, + 5561, + 344, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 2086, + 11, + 254, + 3821, + 838, + 661, + 331, + 67653, + 317, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 13, + 185, + 185, + 14494, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 254, + 2555, + 280, + 254, + 3821, + 838, + 661, + 331, + 95830, + 11, + 98084, + 11, + 285, + 67653, + 13, + 2608, + 317, + 207, + 18, + 919, + 207, + 17, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "b741538c8f6a5d48f6ceedac53e7546bc1043331e24a7db3c5065b05d38f5426", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, she had dance practice that lasted twice as long as Tuesday's night class. So, the hours she had on Saturdays is 2 * 1 = 2 hours.\n\nTherefore, the total hours she had dance practice in a week is the sum of the hours she had on Tuesdays, Thursdays, and Saturdays. That is 3 + 2 = 5 hours.\n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "eb43a7846ffcf7b8eba9c48cf1442385aee7cd076eafe0efc64511b128d4d3a7", + "uniform_steps_consumed": 136, + "uniform_uint64_prefix_sha256": "a724d9ee6c759f88e9b21db3b3696a9ab0f46ccf2361ebfb0938ac2361744cee", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 90, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b24187ffbe434e47eb1fb44bac03b1b0c6743610f5ae6d48d1335116729cca43", + "generated_tokens": 144, + "generated_token_ids": [ + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 16, + 5064, + 331, + 95830, + 285, + 207, + 17, + 3821, + 331, + 98084, + 13, + 2086, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 331, + 95830, + 285, + 98084, + 317, + 207, + 16, + 919, + 207, + 17, + 403, + 207, + 18, + 3821, + 13, + 185, + 185, + 2921, + 67653, + 11, + 711, + 12116, + 5561, + 30621, + 9682, + 372, + 1234, + 372, + 10985, + 6, + 82, + 2653, + 762, + 13, + 2086, + 11, + 254, + 3821, + 838, + 661, + 331, + 67653, + 317, + 207, + 17, + 575, + 207, + 16, + 403, + 207, + 17, + 3821, + 13, + 185, + 185, + 14494, + 11, + 254, + 3223, + 3821, + 838, + 661, + 12116, + 5561, + 279, + 245, + 2562, + 317, + 207, + 18, + 3821, + 334, + 36345, + 285, + 10967, + 8, + 919, + 207, + 17, + 3821, + 334, + 31188, + 8, + 403, + 207, + 20, + 3821, + 13, + 185, + 185, + 3139, + 11, + 9243, + 522, + 661, + 12116, + 5561, + 327, + 207, + 20, + 3821, + 245, + 2562, + 13, + 207, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "206c3c33c1a7b3cd577479655dab3642514e4540810c1171195930a14a46d475", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Hallie had dance practice for 1 hour on Tuesdays and 2 hours on Thursdays. So, the total hours she had dance practice on Tuesdays and Thursdays is 1 + 2 = 3 hours.\n\nOn Saturdays, her dance practice lasted twice as long as Tuesday's night class. So, the hours she had on Saturdays is 2 * 1 = 2 hours.\n\nTherefore, the total hours she had dance practice in a week is 3 hours (Tuesday and Thursday) + 2 hours (Saturday) = 5 hours.\n\nSo, Hallie had dance practice for 5 hours a week. \n\nSo the answer is $\\boxed{5}$.", + "text_sha256": "371045a5a5587da121ca142b9f8e5d5eef9e6657edbfe7afe745ce058e3dd8c6", + "uniform_steps_consumed": 144, + "uniform_uint64_prefix_sha256": "387d1f7a2bb6ce1c0fc6a6106dbbe0ed2eaf63760d26e4e6409985cd88392620", + "uniform_uint64_first_eight_hex": [ + "7bbaf6551bab518a", + "cfa024a4051540b7", + "88deab1d37a19886", + "ef30c1f8b6838e90", + "75ef64fea280e16a", + "485481cdefd0bdc4", + "4e3413b773a79fd6", + "ab60565c4993b699" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "5", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0361", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 21, + "selection_rank": 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every 18,000 miles, so it goes between services every 18,000 miles / 825 miles = 21.8 days.\nSince the train cannot go between services in a fraction of a day, it goes between services every 22 days.\nThe answer is: 22", + "text_sha256": "0ef3d967ac58beb31ff4f59fc90fc81f9ca48a00688ce8d6c7a4f14d11a1057a", + "uniform_steps_consumed": 256, + "uniform_uint64_prefix_sha256": "433bd0f11102c7e4fb99fdf56a7ae98c9bc57a41ddc3cfcb2282b60e0125db76", + "uniform_uint64_first_eight_hex": [ + "6a3c2ef0841fb76f", + "efb847cfdcb93ba3", + "15e5e3aaa4d89fc5", + "1124d9f74b255fb8", + "a65d46f5d4cc26b4", + "a3417e2b0403760d", + "d5cbcb24efa7c9f9", + "11dfd52a9bb8f261" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "22", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 135, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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"adcdcd6996b944f2604ad62ecb3542424f41261a20ad50232fba7674ea0afb23", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The train travels 75 miles from the first city to the second city.\nIt travels 100 miles from the second city to the third city.\nSo, the combined distance from the second city to the third city is 100 miles.\nIt travels 50 miles less than that combined distance from the third city to the first city, which is 100 - 50 = 50 miles.\nSo, the total distance the train travels in one trip is 75 + 100 + 50 = 225 miles.\nThe train does this trip 3 times a day, so it travels 225 miles x 3 = 675 miles in total each day.\nThe train needs service every 18,000 miles, so it goes 675 miles between services.\nTherefore, the train goes 18,000 miles / 675 miles = 26.7 days between services.\nSince we can't have a fraction of a day, we round up to the nearest whole number.\nSo, the train goes 27 days between services.\nThe answer is: 27", + "text_sha256": 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+ 15, + 6593, + 11, + 558, + 359, + 5014, + 1439, + 3248, + 1131, + 207, + 16, + 23, + 11, + 15, + 15, + 15, + 893, + 207, + 24, + 15, + 15, + 403, + 207, + 17, + 15, + 2507, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "1939e08c4ded39a7c9bd35ca15b23fb72e896f8300b79bc8b64f1a87d496bd13", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " The train travels 75 miles from the first city to the second city, 100 miles from the second city to the third city, and 50 miles less than that combined distance to go from the third city to the first city.\nSo, the distance from the third city to the first city is 100 + 75 - 50 = 125 miles.\nThe total distance traveled in one trip is 75 + 100 + 125 = 300 miles.\nThe train does this trip 3 times a day, so it travels a total of 300 * 3 = 900 miles in a day.\nThe train needs service every 18,000 miles, so it goes between services every 18,000 / 900 = 20 days.\nThe answer is: 20", + "text_sha256": "19fb6d3a2ce682a886998650b2ab3901d24afae927b0abf2b31e9aa969e3279c", + "uniform_steps_consumed": 196, + "uniform_uint64_prefix_sha256": "483bda37fbbdcb27183334c5db7638d8e7f6f3086fc0eeeca523759c11c8d5be", + "uniform_uint64_first_eight_hex": [ + "6a3c2ef0841fb76f", + "efb847cfdcb93ba3", + "15e5e3aaa4d89fc5", + "1124d9f74b255fb8", + "a65d46f5d4cc26b4", + "a3417e2b0403760d", + "d5cbcb24efa7c9f9", + "11dfd52a9bb8f261" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "20", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 135, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "99393ce4ef0b1785d8a1c0a10dbdcf4952313a99a24684bdc475c251a793543e", + "generated_tokens": 242, + "generated_token_ids": [ + 429, + 6822, + 29099, + 207, + 22, + 20, + 6593, + 473, + 254, + 1022, + 3787, + 276, + 254, + 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combined distance from the second city to the third city is 100 miles + 75 miles = 175 miles.\n\nSo, the distance from the third city to the first city is 175 miles - 50 miles = 125 miles.\n\nTherefore, the train travels a total of 75 miles + 100 miles + 125 miles = 300 miles each day.\n\nThe train does this trip 3 times a day, so it travels a total of 300 miles * 3 = 900 miles each day.\n\nThe train needs service every 18,000 miles, so it goes between services every 18,000 miles / 900 miles per day = 20 days.\n\nSo the answer is $\\boxed{20}$.", + "text_sha256": "d0494fc981c3636210e4d62ba3cf97570e503a65fae67d654d7933363f853151", + "uniform_steps_consumed": 242, + "uniform_uint64_prefix_sha256": "1915d0f32e56487c1e5b50fdff04449311c70acf004cb5a941af60d28ffd7cb7", + "uniform_uint64_first_eight_hex": [ + "6a3c2ef0841fb76f", + "efb847cfdcb93ba3", + "15e5e3aaa4d89fc5", + "1124d9f74b255fb8", + "a65d46f5d4cc26b4", + "a3417e2b0403760d", + "d5cbcb24efa7c9f9", + "11dfd52a9bb8f261" + ], + 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18, + 43261, + 21479, + 363, + 21, + 13, + 21, + 22, + 13, + 185, + 10005, + 60282, + 543, + 752, + 363, + 21, + 13, + 21, + 22, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 21, + 13, + 21, + 22, + 100001 + ], + "generated_token_ids_sha256": "f65911fec2a3f5f6ca1e2199be512a7b68805bf06ac96933b024670fab248b06", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Greg found $20 and he wants to split it equally among his 3 siblings.\nTo find out how much each sibling gets, we need to divide the total amount of money by the number of siblings.\nSo, $20 divided by 3 siblings equals $6.67.\nEach sibling will get $6.67.\nThe answer is: 6.67", + "text_sha256": "70675eb913dbd69ba7f4ef453a748224538d88d4c1c976c4eda6497210aac546", + "uniform_steps_consumed": 83, + "uniform_uint64_prefix_sha256": "871461ba5ad046edd60564a3988e380de9557982fe1f0770923ed36551fbc0f0", + "uniform_uint64_first_eight_hex": [ + "cb4c26a9a4abea87", + "db97b91c25561d88", + "4a8ac5c008076b2d", + "83bd906aec9eead7", + "9dccf7dba5c2b766", + "05f15d9882095dfd", + "4910e4f61df12778", + "e3803ea988d5aec2" + ], + "task_score": { + "gold_final": "5", + "predicted_final": "6.67", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 82, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c207349f18d835dcba9e2e9357b4b861a0b1381b5caa5880c4de39b7e2dfe646", + "generated_tokens": 81, + "generated_token_ids": [ + 2158, + 1275, + 636, + 946, + 1266, + 3054, + 1319, + 60282, + 4503, + 11, + 395, + 933, + 276, + 18598, + 254, + 3223, + 3744, + 280, + 3054, + 457, + 254, + 1604, + 280, + 43261, + 13, + 185, + 185, + 14179, + 3054, + 25, + 363, + 17, + 15, + 185, + 7922, + 280, + 43261, + 25, + 207, + 18, + 185, + 185, + 27809, + 280, + 3054, + 1319, + 60282, + 4503, + 25, + 363, + 17, + 15, + 893, + 207, + 18, + 403, + 363, + 21, + 13, 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"rng_state_before": { + "cpu_sha256": "69a70ff5eeb2fc44e5c6bb5e24411d733bb566acdb6e8d41efd901f948868715", + "cuda_device_sha256": [ + "f7da9d6d19100f4410379f51fb70b959c1ad4135dc7bcaad0131bd12c73f5b2d" + ], + "cuda_combined_sha256": "3ff24a40eff801dcafb331c3c430d2306e045a6cf388d467bb220b781b6e5cbc" + }, + "rng_state_after": { + "cpu_sha256": "69a70ff5eeb2fc44e5c6bb5e24411d733bb566acdb6e8d41efd901f948868715", + "cuda_device_sha256": [ + "f7da9d6d19100f4410379f51fb70b959c1ad4135dc7bcaad0131bd12c73f5b2d" + ], + "cuda_combined_sha256": "3ff24a40eff801dcafb331c3c430d2306e045a6cf388d467bb220b781b6e5cbc" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 282, + "uniform_uint64_sha256": "c09e1378e5e265e9810337766d5d967c86bc8724eb325ff03aea414c9f575ab9", + "uniform_uint64_first_eight_hex": [ + "af82980542f11704", + "0ed444d1a876502d", + "7f514283b54846cc", + "e2e9ad645f657db8", + "c27b21f235059eab", + "295ede65e3c615ed", + "72c74ca39f5ab1ca", + "9523de574a65d570" + ], + 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+ 207, + 17, + 185, + 51, + 403, + 207, + 16, + 23, + 13, + 20, + 185, + 185, + 3139, + 11, + 634, + 55503, + 317, + 207, + 16, + 23, + 13, + 20, + 1555, + 1712, + 13, + 207, + 185, + 185, + 7094, + 634, + 26900, + 317, + 207, + 22, + 1555, + 8097, + 853, + 634, + 55503, + 11, + 634, + 26900, + 317, + 25, + 185, + 17854, + 403, + 323, + 919, + 207, + 22, + 185, + 17854, + 403, + 207, + 16, + 23, + 13, + 20, + 919, + 207, + 22, + 185, + 17854, + 403, + 207, + 17, + 20, + 13, + 20, + 185, + 185, + 3139, + 11, + 634, + 280, + 254, + 45242, + 317, + 207, + 17, + 20, + 13, + 20, + 1555, + 1712, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 20, + 13, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "0c81b2f9ed658d4b541750989c26f53b631383724eed39ab84cc1bfe1636da92", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the age of one triplet as T and the age of one twin as Tw. \n\nWe know that one twin is 7 years older than one triplet, so we can write this as:\nTw = T + 7\n\nWe also know that the combined ages of the twins and the triplets are 44, so we can write this as:\nT + Tw = 44\n\nNow we can substitute the first equation into the second equation:\nT + (T + 7) = 44\n2T + 7 = 44\n\nTo solve for T, we first subtract 7 from both sides of the equation:\n2T = 44 - 7\n2T = 37\n\nThen we divide both sides of the equation by 2:\nT = 37 / 2\nT = 18.5\n\nSo, one triplet is 18.5 years old. \n\nSince one twin is 7 years older than one triplet, one twin is:\nTw = T + 7\nTw = 18.5 + 7\nTw = 25.5\n\nSo, one of the twins is 25.5 years old.\n\nSo the answer is $\\boxed{25.5}$.", + "text_sha256": "60db6a18a6ac2074a8b1306a364e396c1234979f0b8a40a55167f5c4faf52dfb", + "uniform_steps_consumed": 282, + "uniform_uint64_prefix_sha256": "c09e1378e5e265e9810337766d5d967c86bc8724eb325ff03aea414c9f575ab9", + "uniform_uint64_first_eight_hex": [ + "af82980542f11704", + "0ed444d1a876502d", + "7f514283b54846cc", + 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254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 23, + 13, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "a179ca00e6cde5107a44aed653d6d6992f3cf5cd4ad0ff65e719333e312d8fdf", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the age of one of the twins as T and the age of one of the triplets as T+7 (since one twin is 7 years older than one triplet). \n\nAccording to the problem, the sum of their ages is 44. So we can write the equation as follows:\n\nT + (T+7) = 44\n\nThis simplifies to:\n\n2T + 7 = 44\n\nTo solve for T, we first subtract 7 from both sides of the equation:\n\n2T = 44 - 7\n2T = 37\n\nThen, we divide both sides of the equation by 2:\n\nT = 37 / 2\n\nThis gives us the age of one of the twins, which is approximately 18.5 years old. \n\nSo, one of the twins is approximately 18.5 years old. \n\nTherefore, the answer is $\\boxed{18.5}$.", + "text_sha256": "ba4bf3c170e03951aec90f2dc23457d5c40a2bfcafbc2d64252727f6ffceb9df", + "uniform_steps_consumed": 217, + "uniform_uint64_prefix_sha256": "d22bc79a67976206774b01b60cf96070788291ee3cd05965aabf19f4918a848e", + "uniform_uint64_first_eight_hex": [ + "af82980542f11704", + "0ed444d1a876502d", + "7f514283b54846cc", + "e2e9ad645f657db8", + "c27b21f235059eab", + "295ede65e3c615ed", + "72c74ca39f5ab1ca", + "9523de574a65d570" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "18.5", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 64, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "84fed23931e5c271038b376c50eac7b2449f998531be2c8eb2d238b624742b1f", + "generated_tokens": 234, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 4500, + 280, + 634, + 280, + 254, + 45242, + 372, + 323, + 285, + 254, + 4500, + 280, + 634, + 280, + 254, + 93784, + 372, + 339, + 13, + 207, + 185, + 185, + 1380, + 1006, + 473, + 254, + 2066, + 344, + 745, + 317, + 634, + 845, + 280, + 45242, + 285, + 634, + 845, + 280, + 93784, + 13, + 1002, + 2456, + 344, + 254, + 26900, + 285, + 254, + 55503, + 418, + 254, + 1246, + 4500, + 11, + 558, + 323, + 403, + 339, + 13, + 185, + 185, + 1380, + 839, + 1006, + 344, + 634, + 26900, + 317, + 207, + 22, + 1555, + 8097, + 853, + 634, + 55503, + 13, + 1002, + 2456, + 344, + 323, + 403, + 339, + 919, + 207, + 22, + 13, + 185, + 185, + 1380, + 418, + 2028, + 344, + 704, + 9670, + 13205, + 418, + 207, + 19, + 19, + 13, + 1002, + 2456, + 344, + 323, + 919, + 339, + 403, + 207, + 19, + 19, + 13, + 185, + 185, + 4388, + 395, + 463, + 984, + 8935, + 25, + 185, + 185, + 16, + 8, + 323, + 403, + 339, + 185, + 17, + 8, + 323, + 919, + 339, + 403, + 207, + 19, + 19, + 185, + 185, + 1380, + 481, + 22463, + 6337, + 207, + 16, + 8, + 881, + 6337, + 207, + 17, + 8, + 276, + 752, + 323, + 919, + 323, + 403, + 207, + 19, + 19, + 11, + 588, + 56968, + 276, + 207, + 17, + 51, + 403, + 207, + 19, + 19, + 13, + 185, + 185, + 1898, + 8708, + 327, + 323, + 11, + 395, + 18598, + 1572, + 9226, + 280, + 254, + 6337, + 457, + 207, + 17, + 25, + 323, + 403, + 207, + 19, + 19, + 893, + 207, + 17, + 403, + 207, + 17, + 17, + 13, + 185, + 185, + 3139, + 11, + 634, + 280, + 254, + 45242, + 317, + 207, + 17, + 17, + 1555, + 1712, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "30bdc63f93eabdf5a3c0d1fb7312755dd21f403958a96bba2d2d32bf6a1fd8fa", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the age of one of the twins as T and the age of one of the triplets as C. \n\nWe know from the problem that there is one set of twins and one set of triplets. This means that the twin and the triplet are the same age, so T = C.\n\nWe also know that one twin is 7 years older than one triplet. This means that T = C + 7.\n\nWe are given that their combined ages are 44. This means that T + C = 44.\n\nNow we have two equations:\n\n1) T = C\n2) T + C = 44\n\nWe can substitute equation 1) into equation 2) to get T + T = 44, which simplifies to 2T = 44.\n\nTo solve for T, we divide both sides of the equation by 2: T = 44 / 2 = 22.\n\nSo, one of the twins is 22 years old.\n\nSo the answer is $\\boxed{22}$.", + "text_sha256": "6c21bd92cf6e75139cac89477bc5e12637d7728bfbbb8912f2dea5b84cd1ccd9", + "uniform_steps_consumed": 234, + "uniform_uint64_prefix_sha256": "17283001533771733f256f187373b8a0236186b2483fba7b3914be716d033d87", + "uniform_uint64_first_eight_hex": [ + "af82980542f11704", + "0ed444d1a876502d", + "7f514283b54846cc", + "e2e9ad645f657db8", + "c27b21f235059eab", + "295ede65e3c615ed", + "72c74ca39f5ab1ca", + "9523de574a65d570" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "22", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 80, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "b54476ed20b4929d881977e225e0a246bd26bd38c480593cf54e748d8911f684", + "generated_tokens": 202, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 13205, + 280, + 254, + 45242, + 372, + 323, + 285, + 254, + 13205, + 280, + 254, + 93784, + 372, + 339, + 13, + 1003, + 1006, + 344, + 634, + 26900, + 317, + 207, + 22, + 1555, + 8097, + 853, + 634, + 55503, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 51, + 403, + 339, + 919, + 207, + 22, + 185, + 185, + 1380, + 839, + 1006, + 344, + 254, + 2555, + 280, + 704, + 13205, + 317, + 207, + 19, + 19, + 11, + 558, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 51, + 919, + 339, + 403, + 207, + 19, + 19, + 185, + 185, + 4388, + 395, + 481, + 22463, + 254, + 1022, + 6337, + 881, + 254, + 1864, + 6337, + 25, + 185, + 185, + 7, + 34, + 919, + 207, + 22, + 8, + 919, + 339, + 403, + 207, + 19, + 19, + 185, + 17, + 34, + 919, + 207, + 22, + 403, + 207, + 19, + 19, + 185, + 17, + 34, + 403, + 207, + 19, + 19, + 570, + 207, + 22, + 185, + 17, + 34, + 403, + 207, + 18, + 22, + 185, + 34, + 403, + 207, + 18, + 22, + 893, + 207, + 17, + 185, + 34, + 403, + 207, + 16, + 23, + 13, + 20, + 185, + 185, + 7094, + 13205, + 418, + 4308, + 3000, + 5750, + 11, + 395, + 481, + 6, + 83, + 463, + 3222, + 245, + 1491, + 11, + 558, + 395, + 1006, + 745, + 1534, + 330, + 274, + 2189, + 279, + 254, + 2066, + 6161, + 410, + 254, + 2028, + 1757, + 13, + 6456, + 4974, + 12, + 4897, + 254, + 2066, + 6161, + 285, + 2774, + 254, + 2918, + 1757, + 13, + 100001 + ], + "generated_token_ids_sha256": "3f9b54299aee9ce8b0c02d3452c6133284cf29ad1f538aea91cafca3146da282", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the ages of the twins as T and the ages of the triplets as C. We know that one twin is 7 years older than one triplet, so we can write this as:\n\nT = C + 7\n\nWe also know that the sum of their ages is 44, so we can write this as:\n\nT + C = 44\n\nNow we can substitute the first equation into the second equation:\n\n(C + 7) + C = 44\n2C + 7 = 44\n2C = 44 - 7\n2C = 37\nC = 37 / 2\nC = 18.5\n\nSince ages are usually whole numbers, we can't have half a person, so we know there must be an error in the problem statement or the given information. Please double-check the problem statement and provide the correct information.", + "text_sha256": "5124c72fca00e83e0b984ad33dbb4ea3bfc7d60533623fb2321ac44ac6363540", + "uniform_steps_consumed": 202, + "uniform_uint64_prefix_sha256": "6e7ba9f90fa026d4279fa70ebde4b389e25422e0073a92cff8aac434a6d15bb4", + "uniform_uint64_first_eight_hex": [ + "af82980542f11704", + "0ed444d1a876502d", + "7f514283b54846cc", + "e2e9ad645f657db8", + "c27b21f235059eab", + "295ede65e3c615ed", + "72c74ca39f5ab1ca", + "9523de574a65d570" + ], + "task_score": { + "gold_final": "13", + "predicted_final": "18.5", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0584", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 24, + "selection_rank": "04a3de37eb106ccbfa9f152f977fccdaf9d81c408628f36b02af7eac2a762488", + "source_text_sha256": "9f45de87481deed78ce0cc5d36b78a3bcf6da872c193524d1ec968613145e29d", + "source_characters": 182, + 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82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "34fb132edd633648f7d10da8378bb2c8f72632d274959d1db5fc8a70399c786d", + "generated_tokens": 298, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 3458, + 457, + 3458, + 13, + 185, + 185, + 6306, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 2507, + 634, + 5696, + 280, + 18917, + 543, + 1562, + 35264, + 13, + 5512, + 207, + 24, + 15, + 18917, + 1562, + 327, + 207, + 19, + 20, + 2507, + 11, + 634, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 19, + 20, + 2507, + 13, + 185, + 185, + 7916, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 634, + 5696, + 280, + 18917, + 543, + 2295, + 13, + 7915, + 4085, + 5410, + 207, + 24, + 15, + 18917, + 285, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 13, + 2086, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 16, + 13, + 16, + 16, + 334, + 33035, + 276, + 984, + 26984, + 6171, + 633, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 984, + 14253, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 1319, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 745, + 6, + 82, + 245, + 207, + 16, + 15, + 4, + 11334, + 11, + 254, + 2295, + 280, + 984, + 14253, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 575, + 334, + 16, + 570, + 207, + 16, + 15, + 14645, + 403, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 575, + 207, + 15, + 13, + 24, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 984, + 14253, + 280, + 18917, + 2295, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 285, + 3780, + 207, + 16, + 23, + 15, + 18917, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 16, + 23, + 15, + 403, + 363, + 16, + 13, + 15, + 15, + 334, + 33035, + 276, + 984, + 26984, + 6171, + 633, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 13, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "9dce4686d2718da4bd3edbe8e8ee16539005f116254294f1e8b50280ff773042", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step.\n\nFirst, we need to find out how many days one pair of contacts will last Pete. Since 90 contacts last for 45 days, one pair of contacts will last for 45 days.\n\nNext, we need to find out how much one pair of contacts will cost. Each box contains 90 contacts and costs $100.00. So, the cost of one pair of contacts is $100.00 / 90 = $1.11 (rounded to two decimal places).\n\nNow, we need to find out how much two boxes of contacts will cost. Since each box costs $100.00 and there's a 10% discount, the cost of two boxes is $100.00 * 2 * (1 - 10%) = $100.00 * 2 * 0.9 = $180.00.\n\nFinally, we need to find out how much each pair of contacts will cost. Since two boxes of contacts cost $180.00 and contain 180 contacts, each pair of contacts will cost $180.00 / 180 = $1.00 (rounded to two decimal places).\n\nSo the answer is $\\boxed{1.00}$.", + "text_sha256": "868ec1af028f0882957ec2c43ddb007e3d2e0b5564e340a8c3f735a8ef066d7a", + "uniform_steps_consumed": 298, + "uniform_uint64_prefix_sha256": "0c3637ccf3b18985deb0d770e3558becac0b4146f4243ae249024ae8dccf8177", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "1", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ad076b8f47f0ee4c289a6db262490bc6f7eb603c46864e4fe2b9b512e56e857e", + "generated_tokens": 314, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 3458, + 457, + 3458, + 25, + 185, + 185, + 16, + 13, + 5904, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 1003, + 1006, + 344, + 207, + 24, + 15, + 18917, + 1865, + 279, + 207, + 16, + 4085, + 285, + 543, + 1562, + 327, + 207, + 19, + 20, + 2507, + 13, + 7536, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 17, + 2507, + 13, + 2086, + 11, + 473, + 634, + 4085, + 11, + 35264, + 481, + 752, + 207, + 19, + 20, + 12016, + 280, + 18917, + 13, + 185, + 185, + 17, + 13, + 12006, + 11, + 395, + 933, + 276, + 1275, + 636, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 13, + 1003, + 1006, + 344, + 1319, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 317, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 7536, + 11, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 4, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 2086, + 11, + 254, + 44986, + 4113, + 280, + 1319, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 18, + 13, + 5512, + 35264, + 53410, + 207, + 17, + 14253, + 11, + 254, + 3223, + 2295, + 280, + 254, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 19, + 13, + 12226, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 35264, + 5698, + 207, + 19, + 20, + 12016, + 280, + 18917, + 473, + 634, + 4085, + 11, + 285, + 362, + 53410, + 207, + 17, + 14253, + 11, + 362, + 5698, + 207, + 19, + 20, + 12016, + 575, + 207, + 17, + 403, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 7536, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "93961697cdf4e307cd7754bed29f24c42d02a725e25439dca6a243da1d3fb14f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step:\n\n1. First, we need to find out how many pairs of contacts Pete can get from one box. We know that 90 contacts come in 1 box and will last for 45 days. Therefore, each pair of contacts will last for 2 days. So, from one box, Pete can get 45 pairs of contacts.\n\n2. Next, we need to find out the cost of each pair of contacts. We know that each box costs $100.00 and is currently 10% off. Therefore, the discount is $100.00 * 10% = $10.00. So, the discounted price of each box is $100.00 - $10.00 = $90.00.\n\n3. Since Pete buys 2 boxes, the total cost of the contacts is $90.00 * 2 = $180.00.\n\n4. Finally, we need to find out how much each pair of contacts will cost. Since Pete gets 45 pairs of contacts from one box, and he buys 2 boxes, he gets 45 pairs * 2 = 90 pairs of contacts. Therefore, the cost of each pair of contacts is $180.00 / 90 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "936da001907465f80197763149523d10f730cf057c6269dd5df5dc03c3b41b99", + "uniform_steps_consumed": 314, + "uniform_uint64_prefix_sha256": "2e994d5f7bf5ea3d238049ff240c5c1897733400db8b017e7ab0cd4fa0ff01b5", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "bc813cda32f64b7749206be3d9705ad20c29336cb37ae7222a84b1f91cd01d51", + "generated_tokens": 290, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 2816, + 938, + 18917, + 285, + 1319, + 1491, + 3277, + 207, + 17, + 18917, + 11, + 634, + 4085, + 481, + 2774, + 207, + 24, + 15, + 14, + 17, + 403, + 207, + 19, + 20, + 12016, + 280, + 18917, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 11462, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 13, + 7915, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 548, + 359, + 6, + 82, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 2086, + 11, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 14, + 16, + 15, + 15, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 7536, + 11, + 254, + 44986, + 4113, + 280, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 19, + 20, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 19, + 20, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 254, + 3223, + 2295, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 5512, + 1319, + 4085, + 5410, + 207, + 19, + 20, + 12016, + 280, + 18917, + 11, + 35264, + 543, + 752, + 207, + 19, + 20, + 575, + 207, + 17, + 403, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 7536, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "d8bf77d7440c602d860a73b94dd6cbf309053af8fcd54ba2ed78878ce0a0a6be", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts Pete can get from one box. Since one box contains 90 single use contacts and each person needs 2 contacts, one box can provide 90/2 = 45 pairs of contacts.\n\nNext, let's calculate the cost of one pair of contacts. Each box costs $100.00, but it's currently 10% off. So, the discount is $100.00 * 10/100 = $10.00. Therefore, the discounted price of one box is $100.00 - $10.00 = $90.00. Since one box contains 45 pairs of contacts, the cost of one pair of contacts is $90.00 / 45 = $2.00.\n\nFinally, if Pete buys 2 boxes of contacts, the total cost is $90.00 * 2 = $180.00. Since each box contains 45 pairs of contacts, Pete will get 45 * 2 = 90 pairs of contacts. Therefore, the cost of each pair of contacts is $180.00 / 90 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "007a9c30ef7fdeb5af3b6b691f764f8bdb1b4f2be7ae52fe83be13e786d42e6f", + "uniform_steps_consumed": 290, + "uniform_uint64_prefix_sha256": "2f7b5fdf00bf847fc0449ebaf80034b60cab4f1b6cab65a4c707ee77f658fbb4", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "93038821b651753d36036db6907e535f920d4fab96dd48ecedf4771382a053c5", + "generated_tokens": 284, + "generated_token_ids": [ + 5904, + 11, + 395, + 933, + 276, + 6983, + 946, + 1313, + 12016, + 280, + 18917, + 418, + 279, + 634, + 4085, + 13, + 5512, + 207, + 24, + 15, + 2816, + 12, + 2355, + 18917, + 1865, + 279, + 634, + 4085, + 11, + 745, + 418, + 207, + 24, + 15, + 12016, + 280, + 18917, + 279, + 634, + 4085, + 13, + 185, + 185, + 7916, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 2507, + 6, + 5149, + 280, + 18917, + 35264, + 5698, + 473, + 634, + 4085, + 13, + 1003, + 1006, + 344, + 207, + 24, + 15, + 12016, + 280, + 18917, + 1562, + 857, + 207, + 19, + 20, + 2507, + 13, + 7536, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 857, + 207, + 17, + 2507, + 13, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 11462, + 254, + 2295, + 280, + 254, + 18917, + 513, + 1492, + 13, + 5512, + 1319, + 5696, + 280, + 18917, + 35051, + 207, + 17, + 2507, + 11, + 254, + 2295, + 513, + 5696, + 513, + 1492, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 334, + 672, + 2295, + 280, + 634, + 4085, + 8, + 13429, + 457, + 207, + 19, + 20, + 334, + 672, + 3223, + 1604, + 280, + 2507, + 6, + 5149, + 633, + 185, + 185, + 3139, + 11, + 254, + 2295, + 513, + 5696, + 513, + 1492, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 893, + 207, + 19, + 20, + 403, + 363, + 17, + 13, + 17, + 17, + 17, + 17, + 17, + 334, + 33035, + 276, + 2685, + 26984, + 6171, + 633, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 362, + 543, + 463, + 245, + 3223, + 280, + 207, + 17, + 575, + 207, + 24, + 15, + 403, + 207, + 16, + 23, + 15, + 12016, + 280, + 18917, + 13, + 185, + 185, + 14494, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 857, + 207, + 16, + 23, + 15, + 575, + 363, + 17, + 13, + 17, + 17, + 17, + 17, + 17, + 403, + 363, + 19, + 15, + 15, + 13, + 15, + 15, + 334, + 33035, + 276, + 254, + 17016, + 1793, + 633, + 185, + 185, + 3139, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 35264, + 363, + 19, + 15, + 15, + 13, + 15, + 15, + 13, + 100001 + ], + "generated_token_ids_sha256": "da9fed9acdd7eb4c1fefc1aa3a6706ee6ed1725b51b5cdc57b4139eb5ecb37c2", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, we need to determine how many pairs of contacts are in one box. Since 90 single-use contacts come in one box, there are 90 pairs of contacts in one box.\n\nNext, we need to find out how many days' supply of contacts Pete gets from one box. We know that 90 pairs of contacts last him 45 days. Therefore, each pair of contacts will last him 2 days.\n\nNow, we need to calculate the cost of the contacts per day. Since each pair of contacts lasts 2 days, the cost per pair per day is $100.00 (the cost of one box) divided by 45 (the total number of days' supply).\n\nSo, the cost per pair per day is $100.00 / 45 = $2.22222 (rounded to four decimal places).\n\nFinally, if Pete buys 2 boxes of contacts, he will have a total of 2 * 90 = 180 pairs of contacts.\n\nTherefore, each pair of contacts will cost him 180 * $2.22222 = $400.00 (rounded to the nearest cent).\n\nSo, each pair of contacts will cost Pete $400.00.", + "text_sha256": "ac417c0a0f9b528df03f9982028c2b2c194507c3fdd4b366a22310739baf60d2", + "uniform_steps_consumed": 284, + "uniform_uint64_prefix_sha256": "5fd9d140a5b45a8030db555ce676601891681d03f6b4e7b1be7f1011148e084b", + "uniform_uint64_first_eight_hex": [ + "8c07c4b9d7af1217", + "dbd41fed2860acad", + "13fc5d14f3d69f1d", + "0aafd024fc9f3bf7", + "d1d9a17662c29be1", + "84507e3faa948527", + "14daf4f93a882d3a", + "f153695692385903" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "400", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 1, + "replicate_label": "T1", + "tape_label": "T1", + "base_seed": 399507326, + "run_seed": 2080790960544550713, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "5320c27680f99006c5ced0221037bb1e4b4c6218bbbaba4ad1188b4f839719c0", + "cuda_device_sha256": [ + "cd31588c4e1a493877b2c090d49501fd454e584f4c8ff3b4cff79be401d9605a" + ], + "cuda_combined_sha256": "49f8e2efd119f482a84c89e654be1641b507e2af063bb3d077194f6a7f0ccb97" + }, + "rng_state_after": { + "cpu_sha256": "5320c27680f99006c5ced0221037bb1e4b4c6218bbbaba4ad1188b4f839719c0", + "cuda_device_sha256": [ + "cd31588c4e1a493877b2c090d49501fd454e584f4c8ff3b4cff79be401d9605a" + ], + "cuda_combined_sha256": "49f8e2efd119f482a84c89e654be1641b507e2af063bb3d077194f6a7f0ccb97" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 315, + "uniform_uint64_sha256": "57a8ad45449cd88afabd0aca316f62a0537b049b8559ce3eced250b88c0f2e2c", + "uniform_uint64_first_eight_hex": [ + "2da56322778048ae", + "9d17c73500c2cfe6", + "a729e1273bf9b362", + "4b21831858d8b21e", + "4ca38c28b7c4388b", + "e095b81dc7bafdf3", + "c42d52b216212c07", + "b4a9072271050924" + ], + "uniform_float32_first_eight": [ + 0.17830486595630646, + 0.6136440634727478, + 0.652982771396637, + 0.2934800982475281, + 0.29937052726745605, + 0.8772845268249512, + 0.7663165926933289, + 0.7057041525840759 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 56.38910494997981, + "peak_cuda_memory_allocated_bytes": 28831353344, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "34fb132edd633648f7d10da8378bb2c8f72632d274959d1db5fc8a70399c786d", + "generated_tokens": 221, + "generated_token_ids": [ + 1273, + 207, + 24, + 15, + 2816, + 938, + 18917, + 1865, + 279, + 207, + 16, + 4085, + 285, + 543, + 1562, + 35264, + 207, + 19, + 20, + 2507, + 11, + 937, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 857, + 207, + 17, + 2507, + 13, + 185, + 1847, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 937, + 362, + 543, + 463, + 245, + 3223, + 280, + 207, + 17, + 575, + 207, + 24, + 15, + 403, + 207, + 16, + 23, + 15, + 12016, + 280, + 18917, + 13, + 185, + 1847, + 1319, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 5134, + 207, + 16, + 15, + 4, + 842, + 11, + 937, + 35264, + 543, + 2622, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 4616, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 14645, + 403, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 327, + 1319, + 4085, + 13, + 185, + 1847, + 35264, + 53410, + 207, + 17, + 14253, + 11, + 937, + 362, + 543, + 2622, + 245, + 3223, + 280, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 185, + 1847, + 35264, + 643, + 207, + 16, + 23, + 15, + 12016, + 280, + 18917, + 285, + 26588, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 11, + 937, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 16, + 23, + 15, + 403, + 363, + 16, + 13, + 15, + 15, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 100001 + ], + "generated_token_ids_sha256": "0a9a2566546d7397ba6b6d99003fcd9f3b8eef852ac2bb0c86fa82a53ef90ae5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If 90 single use contacts come in 1 box and will last Pete 45 days, then each pair of contacts will last him 2 days.\nIf Pete buys 2 boxes of contacts, then he will have a total of 2 * 90 = 180 pairs of contacts.\nIf each box is $100.00 and currently 10% off, then Pete will pay $100.00 - ($100.00 * 10%) = $100.00 - $10.00 = $90.00 for each box.\nIf Pete buys 2 boxes, then he will pay a total of $90.00 * 2 = $180.00\nIf Pete has 180 pairs of contacts and pays $180.00, then each pair of contacts will cost $180.00 / 180 = $1.00\nThe answer is: 1", + "text_sha256": "92f61a32590c91d3e608a92bfe6ca271b58eaa5cd9a190d2915c93818e68cc1b", + "uniform_steps_consumed": 221, + "uniform_uint64_prefix_sha256": "17c314e84e1d212f8aa6ad41e3ab688dd2a1b06272c1780b3a43c34f1b7c9c0a", + "uniform_uint64_first_eight_hex": [ + "2da56322778048ae", + "9d17c73500c2cfe6", + "a729e1273bf9b362", + "4b21831858d8b21e", + "4ca38c28b7c4388b", + "e095b81dc7bafdf3", + "c42d52b216212c07", + "b4a9072271050924" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "1", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ad076b8f47f0ee4c289a6db262490bc6f7eb603c46864e4fe2b9b512e56e857e", + "generated_tokens": 315, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 3458, + 457, + 3458, + 25, + 185, + 185, + 16, + 13, + 5904, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 2507, + 634, + 5696, + 280, + 18917, + 543, + 1562, + 13, + 5512, + 207, + 24, + 15, + 18917, + 1562, + 327, + 207, + 19, + 20, + 2507, + 11, + 634, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 24, + 15, + 14, + 19, + 20, + 403, + 207, + 17, + 2507, + 13, + 185, + 185, + 17, + 13, + 12006, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 3471, + 366, + 984, + 14253, + 13, + 5512, + 1319, + 4085, + 5410, + 207, + 24, + 15, + 18917, + 11, + 984, + 14253, + 543, + 3780, + 207, + 17, + 9, + 24, + 15, + 403, + 207, + 16, + 23, + 15, + 18917, + 13, + 185, + 185, + 18, + 13, + 5512, + 1319, + 5696, + 280, + 18917, + 35051, + 327, + 207, + 17, + 2507, + 11, + 207, + 16, + 23, + 15, + 18917, + 543, + 1562, + 327, + 207, + 16, + 23, + 15, + 14, + 17, + 403, + 207, + 24, + 15, + 2507, + 13, + 185, + 185, + 19, + 13, + 4201, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 3471, + 366, + 207, + 24, + 15, + 2507, + 13, + 5512, + 634, + 5696, + 280, + 18917, + 35051, + 327, + 207, + 17, + 2507, + 11, + 207, + 24, + 15, + 2507, + 543, + 2009, + 35264, + 276, + 3471, + 207, + 24, + 15, + 14, + 17, + 403, + 207, + 19, + 20, + 12016, + 280, + 18917, + 13, + 185, + 185, + 20, + 13, + 12226, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 1319, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 317, + 5134, + 207, + 16, + 15, + 4, + 842, + 11, + 35264, + 543, + 2622, + 207, + 16, + 15, + 15, + 27274, + 16, + 12, + 16, + 15, + 14, + 16, + 15, + 15, + 8, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 327, + 1319, + 4085, + 13, + 185, + 185, + 21, + 13, + 5512, + 1319, + 4085, + 5410, + 207, + 24, + 15, + 18917, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 207, + 24, + 15, + 14, + 19, + 20, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "e9413fe1d7128ee6d273c7151f3a0249222e67136b140c004d2ba82c5e893d65", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step:\n\n1. First, we need to find out how many days one pair of contacts will last. Since 90 contacts last for 45 days, one pair of contacts will last for 90/45 = 2 days.\n\n2. Next, we need to find out how many pairs of contacts Pete can buy with two boxes. Since each box contains 90 contacts, two boxes will contain 2*90 = 180 contacts.\n\n3. Since each pair of contacts lasts for 2 days, 180 contacts will last for 180/2 = 90 days.\n\n4. Now, we need to find out how many pairs of contacts Pete can buy with 90 days. Since one pair of contacts lasts for 2 days, 90 days will allow Pete to buy 90/2 = 45 pairs of contacts.\n\n5. Finally, we need to find out how much each pair of contacts will cost. Since each box costs $100.00 and is currently 10% off, Pete will pay 100*(1-10/100) = $90.00 for each box.\n\n6. Since each box contains 90 contacts, each pair of contacts will cost 90/45 = $2.00.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "ccc819dfd09bdbb2ffceae8de664d34dd6972ec2f5a43e621f5c3b50a2d81a59", + "uniform_steps_consumed": 315, + "uniform_uint64_prefix_sha256": "57a8ad45449cd88afabd0aca316f62a0537b049b8559ce3eced250b88c0f2e2c", + "uniform_uint64_first_eight_hex": [ + "2da56322778048ae", + "9d17c73500c2cfe6", + "a729e1273bf9b362", + "4b21831858d8b21e", + "4ca38c28b7c4388b", + "e095b81dc7bafdf3", + "c42d52b216212c07", + "b4a9072271050924" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "bc813cda32f64b7749206be3d9705ad20c29336cb37ae7222a84b1f91cd01d51", + "generated_tokens": 272, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 3458, + 457, + 3458, + 25, + 185, + 185, + 16, + 13, + 5904, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 2816, + 12, + 2355, + 18917, + 285, + 35051, + 327, + 207, + 19, + 20, + 2507, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 17, + 2507, + 13, + 7536, + 11, + 634, + 4085, + 5410, + 207, + 19, + 20, + 12016, + 280, + 18917, + 13, + 185, + 185, + 17, + 13, + 12006, + 11, + 395, + 933, + 276, + 1275, + 636, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 13, + 7915, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 548, + 1962, + 745, + 6, + 82, + 245, + 207, + 16, + 15, + 4, + 11334, + 11, + 35264, + 889, + 3277, + 276, + 2622, + 207, + 24, + 15, + 4, + 280, + 254, + 3632, + 4113, + 13, + 7536, + 11, + 254, + 2295, + 280, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 15, + 13, + 24, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 18, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 19, + 20, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 19, + 20, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 185, + 185, + 19, + 13, + 12226, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 362, + 543, + 463, + 207, + 17, + 575, + 207, + 19, + 20, + 403, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 7536, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 16, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "a66b773e7222e6e50a7a8a22c1958042d3b5c32fef7417ac3c5fe78a471883e0", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step:\n\n1. First, we need to find out how many pairs of contacts Pete can get from one box. Since one box contains 90 single-use contacts and lasts for 45 days, each pair of contacts will last for 2 days. Therefore, one box contains 45 pairs of contacts.\n\n2. Next, we need to find out the cost of one pair of contacts. Each box costs $100.00, but since there's a 10% discount, Pete only needs to pay 90% of the original price. Therefore, the cost of one box is $100.00 * 0.90 = $90.00.\n\n3. Since one box contains 45 pairs of contacts, the cost of one pair of contacts is $90.00 / 45 = $2.00.\n\n4. Finally, if Pete buys 2 boxes of contacts, he will have 2 * 45 = 90 pairs of contacts. Therefore, the cost of each pair of contacts is $90.00 / 90 = $1.00.\n\nSo the answer is $\\boxed{1}$.", + "text_sha256": "6b7f554163eecc225e1ce44774c250e5ee8cc2ea2c2d2fde2d293799998d9c05", + "uniform_steps_consumed": 272, + "uniform_uint64_prefix_sha256": "69fa94fe7505c5af3866a8e693fdebc90ad7ce95821a5eba7c8c6bdcf469b49c", + "uniform_uint64_first_eight_hex": [ + "2da56322778048ae", + "9d17c73500c2cfe6", + "a729e1273bf9b362", + "4b21831858d8b21e", + "4ca38c28b7c4388b", + "e095b81dc7bafdf3", + "c42d52b216212c07", + "b4a9072271050924" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "1", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "93038821b651753d36036db6907e535f920d4fab96dd48ecedf4771382a053c5", + "generated_tokens": 280, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 418, + 279, + 634, + 4085, + 13, + 5512, + 207, + 24, + 15, + 18917, + 1865, + 279, + 207, + 16, + 4085, + 11, + 745, + 317, + 207, + 16, + 5696, + 280, + 18917, + 279, + 634, + 4085, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 2507, + 207, + 17, + 14253, + 280, + 18917, + 543, + 1562, + 35264, + 13, + 5512, + 207, + 16, + 4085, + 35051, + 207, + 19, + 20, + 2507, + 11, + 207, + 17, + 14253, + 543, + 1562, + 207, + 19, + 20, + 575, + 207, + 17, + 403, + 207, + 24, + 15, + 2507, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 207, + 17, + 14253, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 1319, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 745, + 317, + 5134, + 245, + 207, + 16, + 15, + 4, + 11334, + 11, + 254, + 11334, + 3744, + 317, + 207, + 16, + 15, + 4, + 575, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 2086, + 11, + 254, + 2295, + 280, + 207, + 17, + 14253, + 280, + 18917, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 16, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 13, + 5512, + 207, + 17, + 14253, + 280, + 18917, + 2295, + 363, + 16, + 24, + 15, + 13, + 15, + 15, + 285, + 745, + 317, + 207, + 16, + 5696, + 280, + 18917, + 279, + 207, + 16, + 4085, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 16, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 16, + 403, + 363, + 16, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 363, + 16, + 24, + 15, + 13, + 15, + 15, + 13, + 100001 + ], + "generated_token_ids_sha256": "8121dcc16491cc93692b69852fc9a883d2503dfb6d8cc3db1102ff7c085b2d9c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts are in one box. Since 90 contacts come in 1 box, there is 1 pair of contacts in one box.\n\nNext, let's find out how many days 2 boxes of contacts will last Pete. Since 1 box lasts 45 days, 2 boxes will last 45 * 2 = 90 days.\n\nNow, let's find out how much 2 boxes of contacts will cost. Since each box is $100.00 and there is currently a 10% discount, the discount amount is 10% * $100.00 = $10.00. So, the cost of 2 boxes of contacts is $100.00 * 2 - $10.00 = $190.00.\n\nFinally, let's find out how much each pair of contacts will cost. Since 2 boxes of contacts cost $190.00 and there is 1 pair of contacts in 1 box, the cost of each pair of contacts is $190.00 / 1 = $190.00.\n\nSo, each pair of contacts will cost $190.00.", + "text_sha256": "fc2c4c5e07686860a5cce1476a829c03e5022efac974468aa5b6e1f24423ef28", + "uniform_steps_consumed": 280, + "uniform_uint64_prefix_sha256": "8e3b0aa6b53b38e4cd2af8905f49192298cf17fa6b439f684ffed3e88c9e7aa3", + "uniform_uint64_first_eight_hex": [ + "2da56322778048ae", + "9d17c73500c2cfe6", + "a729e1273bf9b362", + "4b21831858d8b21e", + "4ca38c28b7c4388b", + "e095b81dc7bafdf3", + "c42d52b216212c07", + "b4a9072271050924" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "190", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 2, + "replicate_label": "T2", + "tape_label": "T2", + "base_seed": 405284229, + "run_seed": 2433879836085873942, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": 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"5d535ac7343c7081f507fb6e33c425ed67d23b04eda661e3287840768e6d5282", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step.\n\nFirst, we need to find out how many pairs of contacts Pete can get from one box. Since one box contains 90 contacts and lasts for 45 days, each pair of contacts will last for 2 days. Therefore, from one box, Pete can get 45 pairs of contacts because 45 days / 2 days per pair = 22.5 pairs.\n\nNext, we need to calculate the cost of the contacts. Each box costs $100.00, but they are currently 10% off. So, the discount is 10/100 * $100.00 = $10.00. Therefore, each box now costs $100.00 - $10.00 = $90.00.\n\nSince Pete buys 2 boxes, the total cost is 2 * $90.00 = $180.00.\n\nFinally, we need to find out how much each pair of contacts costs. Since Pete gets 45 pairs of contacts from one box, and he buys 2 boxes, he gets 45 pairs * 2 boxes = 90 pairs of contacts.\n\nTherefore, the cost of each pair of contacts is $180.00 / 90 pairs = $2.00 per pair.\n\nSo the answer is $\\boxed{2}$.", + "text_sha256": "3363382e133f248b496226a933ac214a3b974f2fe5b8256dae83c6acac9ff567", + "uniform_steps_consumed": 315, + "uniform_uint64_prefix_sha256": "3f6b05292276f71b38c2c7ff266fa22d0836b7eb86284f6d7d7464129aab4d73", + "uniform_uint64_first_eight_hex": [ + "68d4c088edeb90cd", + "bb594fbf232e3815", + "642162ca6372aac7", + "79d01cccb7ddd896", + "c54eddd5260db32a", + "8102adce76986391", + "b00cbcd5dbf9c171", + "efa32c03087cb198" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "2", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ad076b8f47f0ee4c289a6db262490bc6f7eb603c46864e4fe2b9b512e56e857e", + "generated_tokens": 303, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 3458, + 457, + 3458, + 13, + 185, + 185, + 6306, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 18917, + 285, + 35051, + 327, + 207, + 19, + 20, + 2507, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 17, + 2507, + 13, + 185, + 185, + 7916, + 11, + 395, + 933, + 276, + 11462, + 254, + 2295, + 280, + 254, + 18917, + 13, + 7915, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 548, + 5134, + 359, + 6, + 82, + 207, + 16, + 15, + 4, + 842, + 13, + 2086, + 11, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 14, + 16, + 15, + 15, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 7536, + 11, + 254, + 44986, + 4113, + 280, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 7094, + 1319, + 5696, + 280, + 18917, + 35051, + 327, + 207, + 17, + 2507, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 334, + 19, + 20, + 2507, + 893, + 207, + 17, + 8, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 17, + 17, + 13, + 20, + 403, + 363, + 19, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 254, + 3223, + 2295, + 543, + 330, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 5512, + 1319, + 5696, + 280, + 18917, + 7025, + 363, + 19, + 13, + 15, + 15, + 11, + 254, + 3223, + 1604, + 280, + 12016, + 280, + 18917, + 362, + 481, + 752, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 363, + 19, + 13, + 15, + 15, + 403, + 207, + 19, + 20, + 12016, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 19, + 13, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "19ec4bdd2ea5361335a9dc4e16edbb7a284e39ec233af3583749ff7aa133403b", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem step by step.\n\nFirst, we need to find out how many pairs of contacts Pete can get from one box. Since one box contains 90 contacts and lasts for 45 days, each pair of contacts will last for 2 days.\n\nNext, we need to calculate the cost of the contacts. Each box costs $100.00, but currently it's 10% off. So, the discount is $100.00 * 10/100 = $10.00. Therefore, the discounted price of one box is $100.00 - $10.00 = $90.00.\n\nSince each pair of contacts lasts for 2 days, the cost of each pair of contacts is $90.00 / (45 days / 2) = $90.00 / 22.5 = $4.00.\n\nFinally, if Pete buys 2 boxes of contacts, the total cost will be $90.00 * 2 = $180.00. Since each pair of contacts costs $4.00, the total number of pairs of contacts he can get is $180.00 / $4.00 = 45 pairs.\n\nSo the answer is $\\boxed{4.00}$.", + "text_sha256": "566d25d9292379bc1ba6f2368b500a66ac327e94757b346a5626254a68fb8351", + "uniform_steps_consumed": 303, + "uniform_uint64_prefix_sha256": "4ebcfd681d5f92429fb43247fd8c08ec2e1c926144a47abef91444bc61307ba7", + "uniform_uint64_first_eight_hex": [ + "68d4c088edeb90cd", + "bb594fbf232e3815", + "642162ca6372aac7", + "79d01cccb7ddd896", + "c54eddd5260db32a", + "8102adce76986391", + "b00cbcd5dbf9c171", + "efa32c03087cb198" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "4", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "bc813cda32f64b7749206be3d9705ad20c29336cb37ae7222a84b1f91cd01d51", + "generated_tokens": 295, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 2816, + 938, + 18917, + 285, + 35051, + 327, + 207, + 19, + 20, + 2507, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 16, + 1492, + 13, + 7536, + 11, + 634, + 4085, + 5410, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 13, + 7915, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 548, + 359, + 6, + 82, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 2086, + 11, + 254, + 11334, + 317, + 207, + 16, + 15, + 14, + 16, + 15, + 15, + 575, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 7536, + 11, + 254, + 2295, + 280, + 634, + 4085, + 1166, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 7094, + 634, + 4085, + 5410, + 207, + 24, + 15, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 16, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 280, + 18917, + 11, + 362, + 543, + 463, + 207, + 17, + 575, + 207, + 24, + 15, + 403, + 207, + 16, + 23, + 15, + 12016, + 280, + 18917, + 13, + 429, + 2295, + 280, + 1069, + 18917, + 543, + 330, + 207, + 17, + 575, + 363, + 24, + 15, + 13, + 15, + 15, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 7536, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 16, + 23, + 15, + 403, + 363, + 16, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 3013, + 100001 + ], + "generated_token_ids_sha256": "b8e1f6b70c4acd928d0ef0dd1636652f4432251918f9073394f60b4751408dba", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts Pete can get from one box. Since one box contains 90 single use contacts and lasts for 45 days, each pair of contacts will last for 1 day. Therefore, one box contains 90 pairs of contacts.\n\nNext, let's find out the cost of one pair of contacts. Each box costs $100.00, but it's currently 10% off. So, the discount is 10/100 * $100.00 = $10.00. Therefore, the cost of one box after the discount is $100.00 - $10.00 = $90.00.\n\nSince one box contains 90 pairs of contacts, the cost of one pair of contacts is $90.00 / 90 = $1.00.\n\nFinally, if Pete buys 2 boxes of contacts, he will have 2 * 90 = 180 pairs of contacts. The cost of these contacts will be 2 * $90.00 = $180.00. Therefore, the cost of each pair of contacts is $180.00 / 180 = $1.00.\n\nSo the answer is $\\boxed{1}$.", + "text_sha256": "d884f957cd733b2a3195cdbec962444b3ddbbb1b91c158bad636ef648b2058a0", + "uniform_steps_consumed": 295, + "uniform_uint64_prefix_sha256": "59083a22cb1bb77bb0ba688dc89ac9ff5e9bdcf617ca9de39cd9e6ec1bb50695", + "uniform_uint64_first_eight_hex": [ + "68d4c088edeb90cd", + "bb594fbf232e3815", + "642162ca6372aac7", + "79d01cccb7ddd896", + "c54eddd5260db32a", + "8102adce76986391", + "b00cbcd5dbf9c171", + "efa32c03087cb198" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "1", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "93038821b651753d36036db6907e535f920d4fab96dd48ecedf4771382a053c5", + "generated_tokens": 273, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 2816, + 12, + 2355, + 18917, + 285, + 35051, + 327, + 207, + 19, + 20, + 2507, + 11, + 35264, + 481, + 752, + 207, + 24, + 15, + 14, + 19, + 20, + 403, + 207, + 17, + 12016, + 280, + 18917, + 513, + 4085, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 11462, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 13, + 7915, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 548, + 359, + 6, + 82, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 2158, + 1275, + 254, + 11334, + 11, + 395, + 36419, + 254, + 3632, + 4113, + 457, + 254, + 11334, + 3934, + 25, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 4, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 11, + 254, + 44986, + 4113, + 280, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 7094, + 634, + 4085, + 5410, + 207, + 17, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 17, + 403, + 363, + 19, + 20, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 11, + 362, + 543, + 463, + 245, + 3223, + 280, + 207, + 17, + 575, + 207, + 17, + 403, + 207, + 19, + 12016, + 280, + 18917, + 13, + 185, + 185, + 14494, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 317, + 363, + 19, + 20, + 13, + 15, + 15, + 893, + 207, + 19, + 403, + 363, + 16, + 16, + 13, + 17, + 20, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 16, + 13, + 17, + 20, + 3013, + 100001 + ], + "generated_token_ids_sha256": "895913af137f9ed180694cf2eb34f4d2dfb9882ff06436909a3152fdf408c30a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts Pete can get from one box. Since one box contains 90 single-use contacts and lasts for 45 days, Pete can get 90/45 = 2 pairs of contacts per box.\n\nNext, let's calculate the cost of one pair of contacts. Each box costs $100.00, but it's currently 10% off. To find the discount, we multiply the original price by the discount rate: $100.00 * 10% = $10.00.\n\nSo, the discounted price of one box is $100.00 - $10.00 = $90.00.\n\nSince one box contains 2 pairs of contacts, the cost of one pair of contacts is $90.00 / 2 = $45.00.\n\nFinally, if Pete buys 2 boxes, he will have a total of 2 * 2 = 4 pairs of contacts.\n\nTherefore, the cost of each pair of contacts is $45.00 / 4 = $11.25.\n\nSo the answer is $\\boxed{11.25}$.", + "text_sha256": "7a64e49fd55cd8d392c0183c0e75ddad5055495576c001e8686b6ce2b5b6a8db", + "uniform_steps_consumed": 273, + "uniform_uint64_prefix_sha256": "4fb870ff9fc67d00b76067898f6272ef0a0a4e964f954612707a3b1f31397861", + "uniform_uint64_first_eight_hex": [ + "68d4c088edeb90cd", + "bb594fbf232e3815", + "642162ca6372aac7", + "79d01cccb7ddd896", + "c54eddd5260db32a", + "8102adce76986391", + "b00cbcd5dbf9c171", + "efa32c03087cb198" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "11.25", + "final_numeric_exact": false + } + } + ] + }, + { + "replicate_index": 3, + "replicate_label": "T3", + "tape_label": "T3", + "base_seed": 568701915, + "run_seed": 669635196387615097, + "run_seed_used_only_for_rng_nonconsumption_audit": true, + "rng_state_before": { + "cpu_sha256": "3e1e1a6c0e354f7f77f610edd9c61c80493619639551d71e9a34c3ac2a29a28b", + "cuda_device_sha256": [ + "5c3f2f68226d9b2cfe1aeb56bf815552ae674bda017023111e207c6ea7468be5" + ], + "cuda_combined_sha256": "8de5a141489e7f8e04b2f75207f62c873ef9e6f08506771793450416e65aa437" + }, + "rng_state_after": { + "cpu_sha256": "3e1e1a6c0e354f7f77f610edd9c61c80493619639551d71e9a34c3ac2a29a28b", + "cuda_device_sha256": [ + "5c3f2f68226d9b2cfe1aeb56bf815552ae674bda017023111e207c6ea7468be5" + ], + "cuda_combined_sha256": "8de5a141489e7f8e04b2f75207f62c873ef9e6f08506771793450416e65aa437" + }, + "torch_rng_unchanged": true, + "uniform_steps_available": 369, + "uniform_uint64_sha256": "eee9798843f90a4f1305878fe9f9b28740b1eefe2d696eb6598055c3245e4e9e", + "uniform_uint64_first_eight_hex": [ + "bf096db33447344b", + "30ca05333fe2dfe8", + "68206eadeb8c413b", + "96609d1f6cf8cab3", + "eaf6a35e2de5bbb0", + "68f6dc01addffc64", + "0078f8916b860e80", + "4090d72d954ec3a4" + ], + "uniform_float32_first_eight": [ + 0.7462376356124878, + 0.19058258831501007, + 0.4067448675632477, + 0.5874117016792297, + 0.9178258776664734, + 0.4100167751312256, + 0.0018458705162629485, + 0.2522100806236267 + ], + "finite_tokens_per_step_min": 1, + "finite_tokens_per_step_max": 4, + "generation_seconds": 64.0492158109846, + "peak_cuda_memory_allocated_bytes": 28950798848, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "34fb132edd633648f7d10da8378bb2c8f72632d274959d1db5fc8a70399c786d", + "generated_tokens": 243, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 2507, + 634, + 5696, + 280, + 18917, + 35051, + 13, + 5512, + 207, + 24, + 15, + 18917, + 1562, + 207, + 19, + 20, + 2507, + 11, + 634, + 5696, + 280, + 18917, + 543, + 1562, + 327, + 207, + 24, + 15, + 14, + 19, + 20, + 403, + 207, + 17, + 2507, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 634, + 5696, + 280, + 18917, + 7025, + 13, + 7915, + 4085, + 5410, + 207, + 24, + 15, + 18917, + 285, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 13, + 2086, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 14, + 24, + 15, + 403, + 363, + 16, + 13, + 16, + 16, + 334, + 33035, + 276, + 984, + 26984, + 6171, + 633, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 984, + 14253, + 280, + 18917, + 2295, + 13, + 5512, + 1319, + 4085, + 317, + 207, + 16, + 15, + 4, + 842, + 11, + 254, + 2295, + 280, + 984, + 14253, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 15, + 13, + 24, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 7025, + 13, + 5512, + 984, + 14253, + 3780, + 207, + 16, + 23, + 15, + 18917, + 285, + 2295, + 363, + 24, + 15, + 13, + 15, + 15, + 11, + 1319, + 5696, + 280, + 18917, + 7025, + 363, + 24, + 15, + 13, + 15, + 15, + 14, + 16, + 23, + 15, + 403, + 363, + 15, + 13, + 20, + 15, + 334, + 33035, + 276, + 984, + 26984, + 6171, + 633, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 15, + 13, + 20, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "ff9e88900f9f76e44365d8450ad36e91dcda00b8a118124559a23c803a3ec20e", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many days one pair of contacts lasts. Since 90 contacts last 45 days, one pair of contacts will last for 90/45 = 2 days.\n\nNext, let's find out how much one pair of contacts costs. Each box contains 90 contacts and costs $100.00. So, the cost of one pair of contacts is $100.00/90 = $1.11 (rounded to two decimal places).\n\nNow, let's find out how much two boxes of contacts cost. Since each box is 10% off, the cost of two boxes is $100.00 * 0.9 = $90.00.\n\nFinally, let's find out how much each pair of contacts costs. Since two boxes contain 180 contacts and cost $90.00, each pair of contacts costs $90.00/180 = $0.50 (rounded to two decimal places).\n\nSo the answer is $\\boxed{0.50}$.", + "text_sha256": "46f463db109d82170884aa79c46ecd9621fef41a9e45373011926a5f25ae91bd", + "uniform_steps_consumed": 243, + "uniform_uint64_prefix_sha256": "d0ee3456f828ea5911bda77dfaa841820660f9283caae24cfb478f3475b89904", + "uniform_uint64_first_eight_hex": [ + "bf096db33447344b", + "30ca05333fe2dfe8", + "68206eadeb8c413b", + "96609d1f6cf8cab3", + "eaf6a35e2de5bbb0", + "68f6dc01addffc64", + "0078f8916b860e80", + "4090d72d954ec3a4" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "0.5", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "ad076b8f47f0ee4c289a6db262490bc6f7eb603c46864e4fe2b9b512e56e857e", + "generated_tokens": 369, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 881, + 6611, + 4373, + 285, + 8708, + 359, + 3458, + 457, + 3458, + 13, + 185, + 185, + 16, + 13, + 5904, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 1003, + 1006, + 344, + 634, + 4085, + 5410, + 207, + 24, + 15, + 2816, + 938, + 18917, + 285, + 1319, + 4085, + 543, + 1562, + 35264, + 207, + 19, + 20, + 2507, + 13, + 2086, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 1562, + 857, + 207, + 16, + 1492, + 13, + 7536, + 11, + 473, + 634, + 4085, + 11, + 35264, + 481, + 752, + 207, + 24, + 15, + 12016, + 280, + 18917, + 13, + 185, + 185, + 17, + 13, + 12006, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 634, + 5696, + 280, + 18917, + 7025, + 13, + 1003, + 1006, + 344, + 1319, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 317, + 5134, + 207, + 16, + 15, + 4, + 842, + 13, + 2086, + 11, + 254, + 11334, + 331, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 16, + 15, + 4, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 7536, + 11, + 254, + 2295, + 280, + 634, + 4085, + 1166, + 254, + 11334, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 5512, + 634, + 4085, + 5410, + 207, + 24, + 15, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 317, + 363, + 24, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 16, + 13, + 15, + 15, + 13, + 185, + 185, + 18, + 13, + 12226, + 11, + 395, + 933, + 276, + 1275, + 636, + 946, + 1266, + 984, + 14253, + 280, + 18917, + 543, + 2295, + 13, + 1003, + 1006, + 344, + 1319, + 4085, + 7025, + 363, + 16, + 13, + 15, + 15, + 285, + 984, + 14253, + 418, + 207, + 17, + 2602, + 634, + 4085, + 13, + 7536, + 11, + 254, + 2295, + 280, + 984, + 14253, + 317, + 363, + 16, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 17, + 13, + 15, + 15, + 13, + 5512, + 984, + 14253, + 3780, + 207, + 16, + 23, + 15, + 12016, + 280, + 18917, + 11, + 254, + 2295, + 280, + 634, + 5696, + 280, + 18917, + 279, + 984, + 14253, + 317, + 363, + 17, + 13, + 15, + 15, + 893, + 207, + 16, + 23, + 15, + 403, + 363, + 15, + 13, + 15, + 16, + 16, + 16, + 16, + 13, + 185, + 185, + 3139, + 11, + 254, + 2295, + 280, + 1319, + 5696, + 280, + 18917, + 754, + 35264, + 53410, + 207, + 17, + 14253, + 317, + 628, + 63962, + 90, + 15, + 13, + 15, + 16, + 16, + 16, + 16, + 759, + 11182, + 13, + 100001 + ], + "generated_token_ids_sha256": "6fa2682724467861264efce4a48a5f4d991ce7e1c4edcb6995d289cbe64f1197", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem into smaller parts and solve it step by step.\n\n1. First, we need to find out how many pairs of contacts Pete can get from one box. We know that one box contains 90 single use contacts and each box will last Pete 45 days. So, each pair of contacts will last him 1 day. Therefore, from one box, Pete can get 90 pairs of contacts.\n\n2. Next, we need to find out how much one pair of contacts costs. We know that each box costs $100.00 and is currently 10% off. So, the discount on one box is $100.00 * 10% = $10.00. Therefore, the cost of one box after the discount is $100.00 - $10.00 = $90.00. Since one box contains 90 pairs of contacts, the cost of one pair of contacts is $90.00 / 90 = $1.00.\n\n3. Finally, we need to find out how much two boxes of contacts will cost. We know that each box costs $1.00 and two boxes are 2 times one box. Therefore, the cost of two boxes is $1.00 * 2 = $2.00. Since two boxes contain 180 pairs of contacts, the cost of one pair of contacts in two boxes is $2.00 / 180 = $0.01111.\n\nSo, the cost of each pair of contacts when Pete buys 2 boxes is $\\boxed{0.01111}$ dollars.", + "text_sha256": "c48721de31493c26b5f120a14d59ca05387575f541e724d3d12896f60b12cabf", + "uniform_steps_consumed": 369, + "uniform_uint64_prefix_sha256": "eee9798843f90a4f1305878fe9f9b28740b1eefe2d696eb6598055c3245e4e9e", + "uniform_uint64_first_eight_hex": [ + "bf096db33447344b", + "30ca05333fe2dfe8", + "68206eadeb8c413b", + "96609d1f6cf8cab3", + "eaf6a35e2de5bbb0", + "68f6dc01addffc64", + "0078f8916b860e80", + "4090d72d954ec3a4" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "0.01111", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 82, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "bc813cda32f64b7749206be3d9705ad20c29336cb37ae7222a84b1f91cd01d51", + "generated_tokens": 251, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 35264, + 481, + 752, + 473, + 634, + 4085, + 13, + 1273, + 207, + 24, + 15, + 18917, + 1562, + 327, + 207, + 19, + 20, + 2507, + 11, + 937, + 1319, + 4085, + 543, + 1562, + 327, + 207, + 19, + 20, + 14, + 24, + 15, + 403, + 207, + 15, + 13, + 20, + 2507, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 1319, + 1492, + 280, + 3728, + 7025, + 13, + 1273, + 634, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 35051, + 327, + 207, + 15, + 13, + 20, + 2507, + 11, + 937, + 1319, + 1492, + 280, + 3728, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 14, + 15, + 13, + 20, + 403, + 363, + 17, + 15, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 7025, + 13, + 1273, + 1319, + 1492, + 280, + 3728, + 7025, + 363, + 17, + 15, + 15, + 13, + 15, + 15, + 11, + 937, + 1319, + 5696, + 280, + 18917, + 7025, + 363, + 17, + 15, + 15, + 13, + 15, + 15, + 14, + 17, + 403, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 13, + 1273, + 1319, + 5696, + 280, + 18917, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 285, + 362, + 53410, + 207, + 17, + 14253, + 11, + 937, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 9, + 17, + 403, + 363, + 17, + 15, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 17, + 15, + 15, + 3013, + 100001 + ], + "generated_token_ids_sha256": "eae4b6a162f755019f52a10cd909fe4fb783f075bd260c9a411011b061d930f9", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts Pete can get from one box. If 90 contacts last for 45 days, then each box will last for 45/90 = 0.5 days.\n\nNext, let's find out how much each day of contact costs. If one box costs $100.00 and lasts for 0.5 days, then each day of contact costs $100.00/0.5 = $200.00.\n\nNow, let's find out how much each pair of contacts costs. If each day of contact costs $200.00, then each pair of contacts costs $200.00/2 = $100.00.\n\nFinally, let's find out how much each pair of contacts will cost if Pete buys 2 boxes. If each pair of contacts costs $100.00 and he buys 2 boxes, then each pair of contacts will cost $100.00*2 = $200.00.\n\nSo the answer is $\\boxed{200}$.", + "text_sha256": "0f18fa9a7f047c178fff7ac5b31d8f938fca347064adb244d69898b259a458ee", + "uniform_steps_consumed": 251, + "uniform_uint64_prefix_sha256": "7432b5ba71d509de1f6a45498deadf20dbc9e3db795ebd9cd55ca23ef29e80e6", + "uniform_uint64_first_eight_hex": [ + "bf096db33447344b", + "30ca05333fe2dfe8", + "68206eadeb8c413b", + "96609d1f6cf8cab3", + "eaf6a35e2de5bbb0", + "68f6dc01addffc64", + "0078f8916b860e80", + "4090d72d954ec3a4" + ], + "task_score": { + "gold_final": "2", + "predicted_final": "200", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 98, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "93038821b651753d36036db6907e535f920d4fab96dd48ecedf4771382a053c5", + "generated_tokens": 314, + "generated_token_ids": [ + 5904, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1313, + 12016, + 280, + 18917, + 418, + 279, + 634, + 4085, + 13, + 5512, + 207, + 24, + 15, + 18917, + 1865, + 279, + 634, + 4085, + 11, + 285, + 1319, + 4085, + 7025, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 254, + 2295, + 513, + 5696, + 280, + 18917, + 279, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 893, + 207, + 24, + 15, + 403, + 363, + 16, + 13, + 16, + 16, + 513, + 5696, + 13, + 185, + 185, + 7916, + 11, + 1632, + 6, + 82, + 1275, + 636, + 946, + 1266, + 11334, + 35264, + 5698, + 327, + 1319, + 4085, + 13, + 5512, + 254, + 4085, + 317, + 207, + 16, + 15, + 4, + 842, + 11, + 254, + 11334, + 513, + 4085, + 317, + 207, + 16, + 15, + 4, + 280, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 11, + 588, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 575, + 207, + 15, + 13, + 16, + 15, + 403, + 363, + 16, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 3139, + 11, + 254, + 44986, + 4113, + 280, + 634, + 4085, + 317, + 363, + 16, + 15, + 15, + 13, + 15, + 15, + 570, + 363, + 16, + 15, + 13, + 15, + 15, + 403, + 363, + 24, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 12119, + 11, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 11, + 254, + 3223, + 2295, + 543, + 330, + 363, + 24, + 15, + 13, + 15, + 15, + 575, + 207, + 17, + 403, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 13, + 185, + 185, + 7094, + 745, + 418, + 207, + 24, + 15, + 18917, + 279, + 634, + 4085, + 11, + 285, + 35264, + 543, + 938, + 207, + 24, + 15, + 18917, + 513, + 1492, + 327, + 207, + 19, + 20, + 2507, + 11, + 362, + 543, + 933, + 207, + 24, + 15, + 575, + 207, + 19, + 20, + 403, + 207, + 19, + 15, + 20, + 15, + 18917, + 279, + 3223, + 13, + 185, + 185, + 14494, + 11, + 254, + 2295, + 513, + 5696, + 280, + 18917, + 565, + 35264, + 53410, + 207, + 17, + 14253, + 317, + 363, + 16, + 23, + 15, + 13, + 15, + 15, + 893, + 207, + 19, + 15, + 20, + 15, + 403, + 363, + 15, + 13, + 15, + 19, + 513, + 5696, + 13, + 185, + 185, + 3139, + 11, + 1319, + 5696, + 280, + 18917, + 543, + 2295, + 628, + 63962, + 90, + 15, + 13, + 15, + 19, + 759, + 11182, + 13, + 100001 + ], + "generated_token_ids_sha256": "32d65503a55eb9ab25dd3806010c87b37c5e54ff4cd7bb16c88fc431df16ce2c", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many pairs of contacts are in one box. Since 90 contacts come in one box, and each box costs $100.00, the cost per pair of contacts in one box is $100.00 / 90 = $1.11 per pair.\n\nNext, let's find out how much discount Pete gets for each box. Since the box is 10% off, the discount per box is 10% of $100.00, which is $100.00 * 0.10 = $10.00.\n\nSo, the discounted price of one box is $100.00 - $10.00 = $90.00.\n\nFinally, if Pete buys 2 boxes, the total cost will be $90.00 * 2 = $180.00.\n\nSince there are 90 contacts in one box, and Pete will use 90 contacts per day for 45 days, he will need 90 * 45 = 4050 contacts in total.\n\nTherefore, the cost per pair of contacts if Pete buys 2 boxes is $180.00 / 4050 = $0.04 per pair.\n\nSo, each pair of contacts will cost $\\boxed{0.04}$ dollars.", + "text_sha256": "4388a2a95999a699e6f49fa8efe49cb4a25c5bb480f50cfd99da789c5725400d", + "uniform_steps_consumed": 314, + "uniform_uint64_prefix_sha256": "06cecae8a72a82de6c26c2ba3fe0bc8992bdfdaf2b2344cc8e000217e5e19810", + "uniform_uint64_first_eight_hex": [ + "bf096db33447344b", + "30ca05333fe2dfe8", + "68206eadeb8c413b", + "96609d1f6cf8cab3", + "eaf6a35e2de5bbb0", + "68f6dc01addffc64", + "0078f8916b860e80", + "4090d72d954ec3a4" + ], + 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chance of winning, so the probability that it is a winner is 20%.\n\nThe second lottery ticket is three times more likely to win than the first ticket. This means the probability of winning with the second ticket is 3 times the probability of winning with the first ticket. So, the probability of winning with the second ticket is 20% * 3 = 60%.\n\nThe probability that both tickets are winners is the product of the probabilities of each ticket winning. So, the probability that both tickets are winners is 20% * 60% = 12%.\n\nSo the answer is $\\boxed{12\\%}$.", + "text_sha256": "b2e26863711abbf20e3eceee291c811331e16b0f2c728eb36b38b2d82fa97e7e", + "uniform_steps_consumed": 149, + "uniform_uint64_prefix_sha256": "0153244501ee1b15a8525dbe805d0f8ef5e3195f5c5820f06de5d339f1c0fffc", + "uniform_uint64_first_eight_hex": [ + "d6e1a6eda8ec6c64", + "3b81a09637d5f40a", + "63305a5e8e574813", + "00ce3f59a7546fb6", + "70f9079976ad720a", + "54883d98c7aec671", + "2009b91aaca3dfcd", + "4430f869753caa66" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 85, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "c25b1b78ce1490d04496dc93cde1b45a280e6358dece80fc45d009d9819e8914", + "generated_tokens": 244, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 7599, + 280, + 254, + 1022, + 15006, + 12670, + 372, + 265, + 16, + 11, + 285, + 254, + 7599, + 280, + 254, + 1864, + 15006, + 12670, + 372, + 265, + 17, + 13, + 185, + 185, + 17237, + 344, + 5231, + 53410, + 634, + 48441, + 15006, + 366, + 245, + 207, + 17, + 15, + 4, + 5518, + 280, + 12670, + 11, + 395, + 481, + 1481, + 344, + 265, + 16, + 403, + 207, + 17, + 15, + 4, + 403, + 207, + 15, + 13, + 17, + 15, + 13, + 185, + 185, + 549, + 1864, + 48441, + 15006, + 317, + 1853, + 2602, + 691, + 4135, + 276, + 3886, + 853, + 254, + 1022, + 634, + 13, + 7536, + 11, + 254, + 7599, + 280, + 254, + 1864, + 15006, + 12670, + 11, + 265, + 17, + 11, + 317, + 1853, + 2602, + 254, + 7599, + 280, + 254, + 1022, + 15006, + 12670, + 13, + 2086, + 11, + 265, + 17, + 403, + 207, + 18, + 575, + 265, + 16, + 403, + 207, + 18, + 575, + 207, + 15, + 13, + 17, + 15, + 403, + 207, + 15, + 13, + 21, + 15, + 13, + 185, + 185, + 549, + 7599, + 344, + 1572, + 14069, + 418, + 26397, + 317, + 254, + 1943, + 280, + 254, + 27767, + 280, + 1319, + 15006, + 12670, + 13, + 2086, + 11, + 254, + 7599, + 344, + 1572, + 14069, + 418, + 26397, + 11, + 375, + 7, + 16419, + 654, + 317, + 265, + 16, + 575, + 265, + 17, + 403, + 207, + 15, + 13, + 17, + 15, + 575, + 207, + 15, + 13, + 21, + 15, + 403, + 207, + 15, + 13, + 16, + 17, + 13, + 185, + 185, + 1898, + 2856, + 437, + 7599, + 372, + 245, + 14941, + 11, + 395, + 36419, + 457, + 207, + 16, + 15, + 15, + 13, + 2086, + 11, + 375, + 7, + 16419, + 8, + 403, + 207, + 15, + 13, + 16, + 17, + 575, + 207, + 16, + 15, + 15, + 403, + 207, + 16, + 17, + 12931, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 16, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "cc57dc1d59c92f4917ae6386ce66e238784d62fa3772f9d4c6098fff91822ca9", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the probability of the first ticket winning as p1, and the probability of the second ticket winning as p2.\n\nGiven that Mark buys one lottery ticket with a 20% chance of winning, we can say that p1 = 20% = 0.20.\n\nThe second lottery ticket is three times more likely to win than the first one. Therefore, the probability of the second ticket winning, p2, is three times the probability of the first ticket winning. So, p2 = 3 * p1 = 3 * 0.20 = 0.60.\n\nThe probability that both tickets are winners is the product of the probabilities of each ticket winning. So, the probability that both tickets are winners, P(both), is p1 * p2 = 0.20 * 0.60 = 0.12.\n\nTo express this probability as a percentage, we multiply by 100. So, P(both) = 0.12 * 100 = 12%.\n\nSo the answer is $\\boxed{12}$.", + "text_sha256": "2f8db7989ef9fea37dcffffa5a32f981f923e3d1e00be0fda807834bacb18736", + "uniform_steps_consumed": 244, + "uniform_uint64_prefix_sha256": "4a78a4c5139bcbf7aaf7220c41ae0c4ace5b2cceeb286cbddbe5666fcc099940", + "uniform_uint64_first_eight_hex": [ + "d6e1a6eda8ec6c64", + "3b81a09637d5f40a", + "63305a5e8e574813", + "00ce3f59a7546fb6", + "70f9079976ad720a", + "54883d98c7aec671", + "2009b91aaca3dfcd", + "4430f869753caa66" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 69, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "dec2c59417d8a5882f08148c0c7fb19c3e3e5c4a3e705a82113ab31d0acb53f4", + "generated_tokens": 176, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 7599, + 280, + 254, + 1022, + 15006, + 12670, + 372, + 265, + 16, + 11, + 285, + 254, + 7599, + 280, + 254, + 1864, + 15006, + 12670, + 372, + 265, + 17, + 13, + 1003, + 1006, + 344, + 265, + 16, + 403, + 207, + 17, + 15, + 4, + 403, + 207, + 15, + 13, + 17, + 15, + 11, + 285, + 265, + 17, + 403, + 207, + 18, + 575, + 265, + 16, + 403, + 207, + 18, + 575, + 207, + 15, + 13, + 17, + 15, + 403, + 207, + 15, + 13, + 21, + 15, + 13, + 185, + 185, + 549, + 7599, + 280, + 1572, + 14069, + 12670, + 317, + 254, + 1943, + 280, + 704, + 3451, + 27767, + 25, + 185, + 185, + 79, + 7, + 16419, + 14069, + 3886, + 8, + 403, + 265, + 16, + 575, + 265, + 17, + 403, + 207, + 15, + 13, + 17, + 15, + 575, + 207, + 15, + 13, + 21, + 15, + 403, + 207, + 15, + 13, + 16, + 17, + 185, + 185, + 1898, + 2856, + 437, + 7599, + 372, + 245, + 14941, + 11, + 395, + 36419, + 457, + 207, + 16, + 15, + 15, + 25, + 185, + 185, + 79, + 7, + 16419, + 14069, + 3886, + 8, + 403, + 207, + 15, + 13, + 16, + 17, + 575, + 207, + 16, + 15, + 15, + 403, + 207, + 16, + 17, + 4, + 185, + 185, + 3139, + 11, + 254, + 7599, + 344, + 1572, + 14069, + 418, + 26397, + 317, + 207, + 16, + 17, + 12931, + 100001 + ], + "generated_token_ids_sha256": "f80e45684bc530fafebec4c8d75e913e806c06f4804b885a01ec0f06d67ef09a", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the probability of the first ticket winning as p1, and the probability of the second ticket winning as p2. We know that p1 = 20% = 0.20, and p2 = 3 * p1 = 3 * 0.20 = 0.60.\n\nThe probability of both tickets winning is the product of their individual probabilities:\n\np(both tickets win) = p1 * p2 = 0.20 * 0.60 = 0.12\n\nTo express this probability as a percentage, we multiply by 100:\n\np(both tickets win) = 0.12 * 100 = 12%\n\nSo, the probability that both tickets are winners is 12%.", + "text_sha256": "bd09e2062e98a7c4a54594eff8d91b527e60eb27d6e725c4c6625c78addc0954", + "uniform_steps_consumed": 176, + "uniform_uint64_prefix_sha256": "bb85082e3baef369f7823d01a78d81959d3eedcf0dfed265b82d56752a1d2df2", + "uniform_uint64_first_eight_hex": [ + "d6e1a6eda8ec6c64", + "3b81a09637d5f40a", + "63305a5e8e574813", + "00ce3f59a7546fb6", + "70f9079976ad720a", + "54883d98c7aec671", + "2009b91aaca3dfcd", + "4430f869753caa66" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 85, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "fac00b4ab8e59078d9bbf61ab3d8b4b9f24a20fb941e32b5dd180b5970df5ca2", + "generated_tokens": 196, + "generated_token_ids": [ + 3960, + 6, + 82, + 2973, + 1224, + 254, + 2066, + 25, + 185, + 185, + 16, + 13, + 429, + 1022, + 15006, + 643, + 245, + 207, + 17, + 15, + 4, + 5518, + 280, + 12670, + 13, + 185, + 17, + 13, + 429, + 1864, + 15006, + 317, + 1853, + 2602, + 691, + 4135, + 276, + 3886, + 853, + 254, + 1022, + 15006, + 13, + 5512, + 254, + 1022, + 15006, + 643, + 245, + 207, + 17, + 15, + 4, + 5518, + 280, + 12670, + 11, + 254, + 1864, + 15006, + 643, + 245, + 207, + 17, + 15, + 4, + 5518, + 280, + 12670, + 575, + 207, + 18, + 403, + 207, + 21, + 15, + 4, + 5518, + 280, + 12670, + 13, + 185, + 185, + 4388, + 11, + 395, + 933, + 276, + 1275, + 254, + 7599, + 344, + 1572, + 14069, + 418, + 26397, + 13, + 5512, + 1069, + 418, + 6187, + 4378, + 11, + 395, + 481, + 36419, + 254, + 27767, + 2854, + 25, + 185, + 185, + 17, + 15, + 4, + 334, + 6102, + 15006, + 8, + 575, + 207, + 21, + 15, + 4, + 334, + 9345, + 15006, + 8, + 403, + 207, + 15, + 13, + 17, + 15, + 575, + 207, + 15, + 13, + 21, + 15, + 403, + 207, + 15, + 13, + 16, + 17, + 185, + 185, + 1898, + 5447, + 437, + 276, + 245, + 14941, + 11, + 395, + 36419, + 457, + 207, + 16, + 15, + 15, + 25, + 185, + 185, + 15, + 13, + 16, + 17, + 575, + 207, + 16, + 15, + 15, + 403, + 207, + 16, + 17, + 4, + 185, + 185, + 3139, + 11, + 254, + 7599, + 344, + 1572, + 14069, + 418, + 26397, + 317, + 207, + 16, + 17, + 12931, + 100001 + ], + "generated_token_ids_sha256": "2600b7dd1901e52f4b2f076d4795bba97adf8207405fcbe963207532a5c13c01", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's break down the problem:\n\n1. The first ticket has a 20% chance of winning.\n2. The second ticket is three times more likely to win than the first ticket. Since the first ticket has a 20% chance of winning, the second ticket has a 20% chance of winning * 3 = 60% chance of winning.\n\nNow, we need to find the probability that both tickets are winners. Since these are independent events, we can multiply the probabilities together:\n\n20% (first ticket) * 60% (second ticket) = 0.20 * 0.60 = 0.12\n\nTo convert this to a percentage, we multiply by 100:\n\n0.12 * 100 = 12%\n\nSo, the probability that both tickets are winners is 12%.", + "text_sha256": "c84e0a7ab0d31ec6a8053d5f4428ac14611d47bdfc807ced4606f8725723c8ce", + "uniform_steps_consumed": 196, + "uniform_uint64_prefix_sha256": "cce517d11a68dcb807394d13eeecf41600c0f34693904b4338f8e8ac96632cd5", + "uniform_uint64_first_eight_hex": [ + "d6e1a6eda8ec6c64", + "3b81a09637d5f40a", + "63305a5e8e574813", + "00ce3f59a7546fb6", + "70f9079976ad720a", + "54883d98c7aec671", + "2009b91aaca3dfcd", + "4430f869753caa66" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1021", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 26, + 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"peak_cuda_memory_allocated_bytes": 28809234944, + "outputs": [ + { + "condition": "s0_eos", + "factors": { + "system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 90, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "a97f54d38d8bfff3f24eb5a0c75ae1f2deb5ae77afbd87deda439a880db45c1a", + "generated_tokens": 190, + "generated_token_ids": [ + 207, + 19, + 15, + 4, + 280, + 254, + 4313, + 418, + 3244, + 11, + 558, + 745, + 418, + 207, + 21, + 15, + 1376, + 207, + 15, + 13, + 19, + 15, + 403, + 207, + 17, + 19, + 3244, + 4313, + 13, + 185, + 32, + 2228, + 317, + 2049, + 276, + 752, + 207, + 22, + 20, + 4, + 280, + 254, + 3244, + 4313, + 11, + 558, + 838, + 543, + 752, + 207, + 17, + 19, + 1376, + 207, + 15, + 13, + 22, + 20, + 403, + 207, + 16, + 23, + 3244, + 4313, + 9695, + 13, + 185, + 549, + 9325, + 207, + 21, + 4313, + 418, + 13429, + 12542, + 1439, + 5137, + 285, + 3915, + 11, + 558, + 745, + 418, + 207, + 21, + 14, + 17, + 403, + 207, + 18, + 4313, + 279, + 1319, + 8766, + 13, + 185, + 32, + 2228, + 317, + 2049, + 276, + 752, + 3222, + 280, + 254, + 5137, + 285, + 3915, + 4313, + 9695, + 11, + 558, + 838, + 543, + 752, + 207, + 18, + 1376, + 207, + 15, + 13, + 20, + 15, + 403, + 207, + 16, + 13, + 20, + 4313, + 9695, + 279, + 1319, + 8766, + 13, + 185, + 7094, + 838, + 481, + 889, + 752, + 245, + 3000, + 1604, + 280, + 4313, + 11, + 838, + 543, + 752, + 207, + 16, + 2512, + 9695, + 279, + 1319, + 8766, + 13, + 185, + 14494, + 11, + 338, + 2228, + 317, + 2049, + 276, + 752, + 207, + 16, + 23, + 919, + 207, + 16, + 919, + 207, + 16, + 403, + 207, + 17, + 15, + 3487, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "6447b9536055701ec34bc6b7bff048e9e864abff374f7ec0485dcbaaa44081f0", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 40% of the questions are easy, so there are 60 x 0.40 = 24 easy questions.\nAries is sure to get 75% of the easy questions, so she will get 24 x 0.75 = 18 easy questions correctly.\nThe remaining 6 questions are divided equally between average and difficult, so there are 6/2 = 3 questions in each category.\nAries is sure to get half of the average and difficult questions correctly, so she will get 3 x 0.50 = 1.5 questions correctly in each category.\nSince she can only get a whole number of questions, she will get 1 question correctly in each category.\nTherefore, Aries is sure to get 18 + 1 + 1 = 20 points.\nThe answer is: 20", + "text_sha256": "b8115d0b6fca4d6b21c484759217e9e15c3a050ef0367aeb88c4bdaf053f7a86", + "uniform_steps_consumed": 190, + "uniform_uint64_prefix_sha256": "8d208b79fdde360426eb528f58fd2aee00e4e55eeb0a7ac48a67007cc2ac4705", + "uniform_uint64_first_eight_hex": [ + "45913834e999a956", + "ce6b01e6e5225fe1", + "cd121ed9155dd24b", + "ae3022fa52f2134f", + "8219fa77a7e10002", + "e507fd0f500063ea", + "10220b8087e8c25f", + "fffa64bd08f3acb3" + ], + "task_score": { + "gold_final": "36", + "predicted_final": "20", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 106, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "66ff6bc3c2bf0a90d917abf1d58df7ffe8ac085bafe9d8a67bff335bdfdb9f18", + "generated_tokens": 180, + "generated_token_ids": [ + 207, + 19, + 15, + 4, + 280, + 254, + 4313, + 418, + 3244, + 11, + 558, + 745, + 418, + 207, + 21, + 15, + 1376, + 207, + 15, + 13, + 19, + 15, + 403, + 207, + 17, + 19, + 3244, + 4313, + 13, + 185, + 32, + 2228, + 317, + 2049, + 276, + 752, + 207, + 22, + 20, + 4, + 280, + 254, + 3244, + 4313, + 11, + 558, + 838, + 543, + 752, + 207, + 17, + 19, + 1376, + 207, + 15, + 13, + 22, + 20, + 403, + 207, + 16, + 23, + 3244, + 4313, + 9695, + 13, + 185, + 549, + 9325, + 207, + 21, + 15, + 570, + 207, + 17, + 19, + 403, + 207, + 18, + 21, + 4313, + 418, + 13429, + 12542, + 1439, + 5137, + 285, + 3915, + 13, + 185, + 3139, + 11, + 745, + 418, + 207, + 18, + 21, + 893, + 207, + 17, + 403, + 207, + 16, + 23, + 4313, + 1319, + 327, + 5137, + 285, + 3915, + 13, + 185, + 32, + 2228, + 317, + 2049, + 276, + 752, + 3222, + 280, + 254, + 5137, + 285, + 3915, + 4313, + 9695, + 11, + 558, + 838, + 543, + 752, + 207, + 16, + 23, + 893, + 207, + 17, + 403, + 207, + 24, + 4313, + 9695, + 13, + 185, + 10005, + 2512, + 317, + 4531, + 207, + 16, + 1420, + 11, + 558, + 338, + 2228, + 317, + 2049, + 276, + 752, + 207, + 16, + 23, + 919, + 207, + 24, + 403, + 207, + 17, + 22, + 3487, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 22, + 100001 + ], + "generated_token_ids_sha256": "98267904a5310ba22c206a434ca803373f4829a9bbf1e495aa8ed042e1b35ea4", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " 40% of the questions are easy, so there are 60 x 0.40 = 24 easy questions.\nAries is sure to get 75% of the easy questions, so she will get 24 x 0.75 = 18 easy questions correctly.\nThe remaining 60 - 24 = 36 questions are divided equally between average and difficult.\nSo, there are 36 / 2 = 18 questions each for average and difficult.\nAries is sure to get half of the average and difficult questions correctly, so she will get 18 / 2 = 9 questions correctly.\nEach question is worth 1 point, so Aries is sure to get 18 + 9 = 27 points.\nThe answer is: 27", + "text_sha256": "ca25913da4abd071b61cc42a050061d42d894f0f6319db5f8ee9649012daea3f", + "uniform_steps_consumed": 180, + "uniform_uint64_prefix_sha256": "d3c22c0bb66999b8893b124fd8035b032ac79313cdfa586761d8e0918040239c", + "uniform_uint64_first_eight_hex": [ + "45913834e999a956", + "ce6b01e6e5225fe1", + "cd121ed9155dd24b", + "ae3022fa52f2134f", + "8219fa77a7e10002", + "e507fd0f500063ea", + "10220b8087e8c25f", + "fffa64bd08f3acb3" + ], + "task_score": { + "gold_final": "36", + "predicted_final": "27", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 90, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "e25d1565828c123d868987a13a0d6798fcc3ab535e0cd2df89bd9131f4f2a99f", + "generated_tokens": 152, + "generated_token_ids": [ + 338, + 2228, + 317, + 2049, + 276, + 752, + 207, + 22, + 20, + 4, + 280, + 254, + 3244, + 4313, + 11, + 588, + 317, + 207, + 15, + 13, + 22, + 20, + 575, + 207, + 19, + 15, + 403, + 207, + 18, + 15, + 3244, + 4313, + 13, + 185, + 7094, + 745, + 418, + 207, + 21, + 15, + 4313, + 279, + 3223, + 11, + 254, + 1604, + 280, + 5137, + 285, + 3915, + 4313, + 317, + 207, + 21, + 15, + 570, + 207, + 18, + 15, + 403, + 207, + 18, + 15, + 13, + 185, + 38008, + 280, + 254, + 5137, + 285, + 3915, + 4313, + 317, + 207, + 15, + 13, + 20, + 575, + 207, + 18, + 15, + 403, + 207, + 16, + 20, + 4313, + 13, + 185, + 32, + 2228, + 317, + 2049, + 276, + 752, + 3222, + 280, + 254, + 5137, + 285, + 3915, + 4313, + 9695, + 11, + 588, + 317, + 207, + 15, + 13, + 20, + 575, + 207, + 16, + 20, + 403, + 207, + 22, + 13, + 20, + 3487, + 13, + 185, + 7094, + 1319, + 2512, + 317, + 4531, + 207, + 16, + 1420, + 11, + 338, + 2228, + 317, + 2049, + 276, + 752, + 207, + 22, + 13, + 20, + 3487, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 22, + 13, + 20, + 100001 + ], + "generated_token_ids_sha256": "ead34de5c2cf155594c46628aa95a2700d32c41e53291c8efd66fdcb83b78e38", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Aries is sure to get 75% of the easy questions, which is 0.75 * 40 = 30 easy questions.\nSince there are 60 questions in total, the number of average and difficult questions is 60 - 30 = 30.\nHalf of the average and difficult questions is 0.5 * 30 = 15 questions.\nAries is sure to get half of the average and difficult questions correctly, which is 0.5 * 15 = 7.5 points.\nSince each question is worth 1 point, Aries is sure to get 7.5 points.\nThe answer is: 7.5", + 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"generated_token_ids_sha256": "a3792c95d26a939c2e2191f7f6bd18e4cb5e783386e5a6c4b5628871a56a864f", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " First, let's find out how many easy questions there are:\n\n40% of 60 items = (40/100) * 60 = 24 easy questions\n\nNow, let's find out how many average and difficult questions there are:\n\nTotal questions - Easy questions = Average and Difficult questions\n60 - 24 = 36 average and difficult questions\n\nSince these questions are equally divided, there are 18 average and difficult questions each.\n\nNow, let's find out how many easy questions Aries is sure to get:\n\n75% of 24 easy questions = (75/100) * 24 = 18 easy questions\n\nNext, let's find out how many average and difficult questions Aries is sure to get:\n\nHalf of 36 average and difficult questions = (1/2) * 36 = 18 average and difficult questions\n\nNow, let's calculate the points Aries is sure to get:\n\nPoints for easy questions + Points for average and difficult questions = Total points\n18 easy questions * 1 point per question + 18 average and difficult questions * 0.5 points per question = 18 + 9 = 27 points\n\nSo, Aries is sure to get 27 points.", + "text_sha256": "a64af9307be1f5e91408860904b3391617c98247d4770c6d4933143463026bc4", + "uniform_steps_consumed": 297, + "uniform_uint64_prefix_sha256": "49ca0a99942a9e1075e38ed0531c93b6a0713ff1b587a999e5d369d4b133c4ed", + "uniform_uint64_first_eight_hex": [ + "45913834e999a956", + "ce6b01e6e5225fe1", + "cd121ed9155dd24b", + "ae3022fa52f2134f", + "8219fa77a7e10002", + "e507fd0f500063ea", + "10220b8087e8c25f", + "fffa64bd08f3acb3" + ], + "task_score": { + "gold_final": "36", + "predicted_final": "27", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/1194", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 27, + "selection_rank": "0514f7f9fc1da8490ae0b11068cd65dd3c1ab52e51471ac3fb024b9d56631806", + 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"system": 0, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 78, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "2e2474fadf83a9e0ec1f61de368962a9db68179eb6fb5abf7f42e97ce74a2c43", + "generated_tokens": 97, + "generated_token_ids": [ + 1273, + 245, + 51885, + 643, + 1853, + 2602, + 372, + 1266, + 5931, + 372, + 245, + 43042, + 11, + 937, + 245, + 51885, + 643, + 207, + 19, + 15, + 575, + 207, + 18, + 403, + 207, + 16, + 17, + 15, + 55477, + 280, + 5931, + 13, + 185, + 1847, + 745, + 418, + 2146, + 64489, + 18884, + 279, + 254, + 5532, + 11, + 937, + 657, + 463, + 245, + 3223, + 280, + 207, + 16, + 17, + 15, + 575, + 207, + 16, + 15, + 403, + 207, + 16, + 17, + 15, + 15, + 55477, + 280, + 5931, + 13, + 185, + 14494, + 11, + 2146, + 64489, + 18884, + 279, + 254, + 5532, + 463, + 207, + 16, + 17, + 15, + 15, + 55477, + 280, + 5931, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 15, + 15, + 100001 + ], + "generated_token_ids_sha256": "c9bbda61f5236a048ce5557f320f60d6e04219ff754be4bae806583718d3d244", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If a shark has three times as much blood as a whale, then a shark has 40 * 3 = 120 gallons of blood.\nIf there are ten sharks swimming in the sea, then they have a total of 120 * 10 = 1200 gallons of blood.\nTherefore, ten sharks swimming in the sea have 1200 gallons of blood.\nThe answer is: 1200", + "text_sha256": "d3d3d81eb3f7a8678f1ad8bbacbec77bf21942a52a0b2b4f7136ff3add55b85c", + "uniform_steps_consumed": 97, + "uniform_uint64_prefix_sha256": "b0c3073ae6fae731a446f65faf08f85e29e93664f54df16f913ddb3488ccab66", + "uniform_uint64_first_eight_hex": [ + "2ca6015940fab690", + "1f26ebf288ba1d77", + "a4122c3b4d9a5acc", + "ecfa423b2332961d", + "7bb3307008770cba", + "b6e26ff885213699", + "8e4fe06d86938b14", + "89e9926c224c4082" + ], + "task_score": { + "gold_final": "1200", + "predicted_final": "1200", + "final_numeric_exact": true + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 94, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "4e605004c39f7a0c9374edf9c532b464528cd92b6b187d59052d25475226fb1a", + "generated_tokens": 97, + "generated_token_ids": [ + 1273, + 245, + 51885, + 643, + 1853, + 2602, + 372, + 1266, + 5931, + 372, + 245, + 43042, + 11, + 937, + 245, + 51885, + 643, + 207, + 19, + 15, + 575, + 207, + 18, + 403, + 207, + 16, + 17, + 15, + 55477, + 280, + 5931, + 13, + 185, + 1847, + 745, + 418, + 2146, + 64489, + 18884, + 279, + 254, + 5532, + 11, + 937, + 657, + 463, + 245, + 3223, + 280, + 207, + 16, + 17, + 15, + 575, + 207, + 16, + 15, + 403, + 207, + 16, + 17, + 15, + 15, + 55477, + 280, + 5931, + 13, + 185, + 14494, + 11, + 2146, + 64489, + 18884, + 279, + 254, + 5532, + 463, + 207, + 16, + 17, + 15, + 15, + 55477, + 280, + 5931, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 15, + 15, + 100001 + ], + "generated_token_ids_sha256": "c9bbda61f5236a048ce5557f320f60d6e04219ff754be4bae806583718d3d244", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If a shark has three times as much blood as a whale, then a shark has 40 * 3 = 120 gallons of blood.\nIf there are ten sharks swimming in the sea, then they have a total of 120 * 10 = 1200 gallons of blood.\nTherefore, ten sharks swimming in the sea have 1200 gallons of blood.\nThe answer is: 1200", + "text_sha256": "d3d3d81eb3f7a8678f1ad8bbacbec77bf21942a52a0b2b4f7136ff3add55b85c", + "uniform_steps_consumed": 97, + "uniform_uint64_prefix_sha256": "b0c3073ae6fae731a446f65faf08f85e29e93664f54df16f913ddb3488ccab66", + "uniform_uint64_first_eight_hex": [ + "2ca6015940fab690", + "1f26ebf288ba1d77", + "a4122c3b4d9a5acc", + "ecfa423b2332961d", + "7bb3307008770cba", + "b6e26ff885213699", + "8e4fe06d86938b14", + "89e9926c224c4082" + ], + "task_score": { + "gold_final": "1200", + "predicted_final": "1200", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 78, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "a4534ef6827a972f988fdf10ee379a3955dff62d9f52fa51faafb4118684df7e", + "generated_tokens": 78, + "generated_token_ids": [ + 1273, + 245, + 51885, + 643, + 1853, + 2602, + 372, + 1266, + 5931, + 372, + 245, + 43042, + 11, + 937, + 245, + 51885, + 643, + 207, + 19, + 15, + 575, + 207, + 18, + 403, + 207, + 16, + 17, + 15, + 55477, + 280, + 5931, + 13, + 185, + 1847, + 745, + 418, + 2146, + 64489, + 18884, + 279, + 254, + 5532, + 11, + 937, + 657, + 463, + 245, + 3223, + 280, + 207, + 16, + 17, + 15, + 575, + 207, + 16, + 15, + 403, + 207, + 16, + 17, + 15, + 15, + 55477, + 280, + 5931, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 16, + 17, + 15, + 15, + 100001 + ], + "generated_token_ids_sha256": "838cb016b96a16daf7a5f3020972492509aded6fcf427f79704143aa1b183c19", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If a shark has three times as much blood as a whale, then a shark has 40 * 3 = 120 gallons of blood.\nIf there are ten sharks swimming in the sea, then they have a total of 120 * 10 = 1200 gallons of blood.\nThe answer is: 1200", + "text_sha256": "62e3b093b9923a54413f936d6c9499f09f50d20569be7bbe0d05fb3255953c21", + "uniform_steps_consumed": 78, + "uniform_uint64_prefix_sha256": "2ef9f11195c734e5a2c59c35a34f0126785cdc156a913c3116cfdf3c560fc8d4", + "uniform_uint64_first_eight_hex": [ + "2ca6015940fab690", + "1f26ebf288ba1d77", + "a4122c3b4d9a5acc", + "ecfa423b2332961d", + "7bb3307008770cba", + "b6e26ff885213699", + "8e4fe06d86938b14", + "89e9926c224c4082" + ], + "task_score": { + "gold_final": "1200", + "predicted_final": "1200", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + 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break down the problem into smaller steps:\n\n1. First, we need to find out how much blood a shark has. Since a shark has three times as much blood as a whale, and each whale has 40 gallons of blood, we can calculate the blood of a shark as follows:\n\n Shark's blood = 3 * Whale's blood\n Shark's blood = 3 * 40 gallons\n Shark's blood = 120 gallons\n\n2. Next, we need to find out how much blood ten sharks have. Since each shark has 120 gallons of blood, we can calculate the total blood of ten sharks as follows:\n\n Total blood = Number of sharks * Blood per shark\n Total blood = 10 * 120 gallons\n Total blood = 1200 gallons\n\nSo, ten sharks swimming in the sea have a total of 1200 gallons of blood.", + "text_sha256": "f5276ef2fe6277e078272910ef58035806be06fba689b367fa7c41fe324166de", + "uniform_steps_consumed": 209, + "uniform_uint64_prefix_sha256": "52df51ae0351acd2e1992c662563c8eb8b953833eaf31a440fde177ce6a6aedf", + "uniform_uint64_first_eight_hex": [ + "2ca6015940fab690", + "1f26ebf288ba1d77", + "a4122c3b4d9a5acc", + "ecfa423b2332961d", + "7bb3307008770cba", + "b6e26ff885213699", + "8e4fe06d86938b14", + "89e9926c224c4082" + ], + "task_score": { + "gold_final": "1200", + "predicted_final": "1200", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0399", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 28, 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true, + "stopped_at_max_new_tokens": false, + "text": " If Erica is 30 years old, then Beth is 30 + 5 = 35 years old.\nAnd if Alice is 7 years older than Beth, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "9c47286f7775845c170cbaac5245767ab0883592470e5e236eb95df5f79d3e2f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "b725a9be32d60866c53ab8e33cefb7149e5910b3b0fe6acf6b7c0dd752193e7b", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + "07f510f4bb841543", + "94f75d925a21a9b8", + "e9a7faac59078945" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + 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years old, then Beth is 30 + 5 = 35 years old.\nAnd if Alice is 7 years older than Beth, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "9c47286f7775845c170cbaac5245767ab0883592470e5e236eb95df5f79d3e2f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "b725a9be32d60866c53ab8e33cefb7149e5910b3b0fe6acf6b7c0dd752193e7b", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + "07f510f4bb841543", + "94f75d925a21a9b8", + "e9a7faac59078945" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 79, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": 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Beth, then Alice is 35 + 7 = 42 years old.\nThe difference between the ages of Alice and Erica is 42 - 30 = 12 years.\nThe answer is: 12", + "text_sha256": "9c47286f7775845c170cbaac5245767ab0883592470e5e236eb95df5f79d3e2f", + "uniform_steps_consumed": 86, + "uniform_uint64_prefix_sha256": "b725a9be32d60866c53ab8e33cefb7149e5910b3b0fe6acf6b7c0dd752193e7b", + "uniform_uint64_first_eight_hex": [ + "7673793909d711d5", + "0410d9fbb898860c", + "21fd8949875845b2", + "dd1cc0511355758b", + "33686c75a50a38e8", + "07f510f4bb841543", + "94f75d925a21a9b8", + "e9a7faac59078945" + ], + "task_score": { + "gold_final": "12", + "predicted_final": "12", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0214", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 29, + "selection_rank": "069590875c372687074281a45b22de709b7628b30d4cc5f7a53ce2f331c529f3", + "source_text_sha256": 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"stopped_at_max_new_tokens": true, + "text": " Let's denote the amount of water in the small pool 4 minutes ago as S and the amount of water in the big pool as B. \n\nFrom the problem, we know that 4 minutes ago, the big pool had twice as much water as the small pool. So we can write this as:\n\nB = 2S\n\nNow, we know that the big pool has four times as much water as the small pool now. Since the leaks are emptying the pools at a rate of 4 gallons/minute, the amount of water in the pools after 4 minutes will be:\n\nB' = B - 4 * 4 = B - 16\nS' = S - 4 * 4 = S - 16\n\nWe also know that the total amount of water in both pools after 4 minutes is the same as it was 4 minutes ago. So we can write this as:\n\nB' + S' = B - 16 + S - 16\n\nSubstituting B = 2S into the equation, we get:\n\n2S - 16 + S - 16 = 2S - 16 + S - 16\n\nSolving this equation, we get:\n\n3S - 32 = 3S - 32\n\nThis equation is true for any value of S, so it doesn't give us any new information. \n\nHowever, we can use the fact that the total amount of water in both pools after 4 minutes is the same as it was 4 minutes ago. So we can write this as:\n\nB' + S' = B - 16 + S - 16\n\nSubstituting B = 2S and B' = B - 16 into the equation, we get:\n\n2S - 16 + S - 16 = 2S - 16 + S - 16\n\nSolving this equation, we get:\n\n3S - 32 = 3S - 32\n\nThis equation is true for any value of S, so it doesn't give us any new information. \n\nHowever, we can use the fact that the total amount of water in both pools after 4 minutes is the same as it was 4 minutes ago. So we can write this as:\n\n", + "text_sha256": "169524442c102e02f1ebf27de143a1c2b1dbbc264de8b772e80165ad26d617fb", + "uniform_steps_consumed": 512, + "uniform_uint64_prefix_sha256": "05320f08a25e526b1a192d0966a56d397b78f11146bfd6a177c7b8adbb0cbfed", + "uniform_uint64_first_eight_hex": [ + "d1120bfd6eca1041", + "f1280450cd35aa4a", + "ad1972ef6719320f", + "8ea1e81a9f2ae086", + "413585388438b690", + "b185b59b3613b37e", + "1a6486319719767c", + "3829114958b1aff1" + ], + "task_score": { + "gold_final": "8", + "predicted_final": "4", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 102, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "7c73011d21e0252224687d613c48510eaf31ec208d2a28817930a9f8bf5a8f86", + "generated_tokens": 494, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 372, + 324, + 285, + 254, + 3744, + 280, + 2354, + 279, + 254, + 2567, + 7434, + 372, + 380, + 13, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 207, + 19, + 4063, + 4084, + 11, + 254, + 2567, + 7434, + 661, + 9682, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 13, + 2086, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 33, + 7, + 83, + 12, + 19, + 8, + 403, + 207, + 17, + 50, + 7, + 83, + 12, + 19, + 8, + 185, + 185, + 4388, + 11, + 254, + 2066, + 839, + 10496, + 450, + 344, + 1132, + 11, + 254, + 2567, + 7434, + 643, + 2685, + 2602, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 13, + 2086, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 33, + 7, + 83, + 8, + 403, + 207, + 19, + 50, + 7, + 83, + 8, + 185, + 185, + 1380, + 481, + 8708, + 1069, + 984, + 8935, + 276, + 1275, + 254, + 1648, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 13, + 185, + 185, + 6306, + 11, + 1632, + 6, + 82, + 22463, + 254, + 1864, + 6337, + 881, + 254, + 1022, + 634, + 25, + 185, + 185, + 19, + 50, + 7, + 83, + 8, + 403, + 207, + 17, + 50, + 7, + 83, + 12, + 19, + 8, + 185, + 185, + 1567, + 56968, + 276, + 25, + 185, + 185, + 17, + 50, + 7, + 83, + 8, + 403, + 207, + 17, + 50, + 7, + 83, + 12, + 19, + 8, + 185, + 185, + 18835, + 546, + 1572, + 9226, + 457, + 207, + 17, + 50, + 25, + 185, + 185, + 83, + 403, + 244, + 12, + 19, + 185, + 185, + 1567, + 6337, + 10496, + 450, + 344, + 254, + 766, + 317, + 5929, + 276, + 254, + 766, + 207, + 19, + 4063, + 4084, + 13, + 2086, + 11, + 395, + 481, + 14193, + 344, + 254, + 1648, + 766, + 317, + 207, + 19, + 4063, + 1166, + 254, + 766, + 207, + 19, + 4063, + 4084, + 13, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 1275, + 254, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 13, + 1003, + 1006, + 344, + 254, + 1760, + 7434, + 317, + 13916, + 2354, + 430, + 245, + 3934, + 280, + 207, + 19, + 55477, + 14, + 20888, + 11, + 285, + 254, + 2567, + 7434, + 317, + 13916, + 2354, + 430, + 254, + 1246, + 3934, + 13, + 2086, + 11, + 254, + 3223, + 3934, + 430, + 588, + 254, + 2354, + 317, + 1435, + 4739, + 317, + 207, + 17, + 9, + 19, + 403, + 207, + 23, + 55477, + 14, + 20888, + 13, + 185, + 185, + 7094, + 254, + 1648, + 766, + 317, + 207, + 19, + 4063, + 1166, + 254, + 766, + 207, + 19, + 4063, + 4084, + 11, + 254, + 1760, + 7434, + 643, + 803, + 13916, + 2354, + 327, + 207, + 19, + 4063, + 13, + 2086, + 11, + 254, + 3744, + 280, + 2354, + 359, + 643, + 4739, + 317, + 207, + 19, + 9, + 23, + 403, + 207, + 18, + 17, + 55477, + 13, + 185, + 185, + 14494, + 11, + 254, + 1648, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 317, + 254, + 4310, + 3744, + 30317, + 254, + 3744, + 4739, + 25, + 185, + 185, + 50, + 7, + 83, + 8, + 403, + 324, + 7, + 83, + 12, + 19, + 8, + 570, + 207, + 18, + 17, + 185, + 185, + 81089, + 244, + 403, + 207, + 19, + 881, + 254, + 6337, + 4380, + 25, + 185, + 185, + 50, + 7, + 19, + 8, + 403, + 324, + 7, + 15, + 8, + 570, + 207, + 18, + 17, + 185, + 185, + 7094, + 254, + 1760, + 7434, + 3805, + 366, + 742, + 3744, + 280, + 2354, + 11, + 324, + 7, + 15, + 8, + 317, + 441, + 5858, + 13, + 7536, + 11, + 254, + 1760, + 7434, + 5134, + 643, + 207, + 18, + 17, + 55477, + 2246, + 853, + 359, + 3805, + 366, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 18, + 17, + 3013, + 100001 + ], + "generated_token_ids_sha256": "c61d867bb525be43aa599ce877c7498246e22e62723fdfb8233540ab1168c250", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the amount of water in the small pool as S and the amount of water in the big pool as B.\n\nFrom the problem, we know that 4 minutes ago, the big pool had twice as much water as the small pool. So we can write this as:\n\nB(t-4) = 2S(t-4)\n\nNow, the problem also tells us that now, the big pool has four times as much water as the small pool. So we can write this as:\n\nB(t) = 4S(t)\n\nWe can solve these two equations to find the current amount of water in the small pool.\n\nFirst, let's substitute the second equation into the first one:\n\n4S(t) = 2S(t-4)\n\nThis simplifies to:\n\n2S(t) = 2S(t-4)\n\nDivide both sides by 2S:\n\nt = t-4\n\nThis equation tells us that the time is equal to the time 4 minutes ago. So, we can conclude that the current time is 4 minutes after the time 4 minutes ago.\n\nNow, let's find the amount of water in the small pool. We know that the small pool is losing water at a rate of 4 gallons/minute, and the big pool is losing water at the same rate. So, the total rate at which the water is being lost is 2*4 = 8 gallons/minute.\n\nSince the current time is 4 minutes after the time 4 minutes ago, the small pool has been losing water for 4 minutes. So, the amount of water it has lost is 4*8 = 32 gallons.\n\nTherefore, the current amount of water in the small pool is the initial amount minus the amount lost:\n\nS(t) = S(t-4) - 32\n\nSubstituting t = 4 into the equation gives:\n\nS(4) = S(0) - 32\n\nSince the small pool started with some amount of water, S(0) is not zero. Therefore, the small pool currently has 32 gallons less than it started with.\n\nSo the answer is $\\boxed{32}$.", + "text_sha256": "a47591ad0894826efcf0c58275f6a3b21c2a8f06bc910433ef800360a04895bd", + "uniform_steps_consumed": 494, + "uniform_uint64_prefix_sha256": "34d4bf1815b19816488a2afd454ac3c343c74408a2beb3a5baeb9792f477b78d", + "uniform_uint64_first_eight_hex": [ + "d1120bfd6eca1041", + "f1280450cd35aa4a", + "ad1972ef6719320f", + "8ea1e81a9f2ae086", + "413585388438b690", + "b185b59b3613b37e", + "1a6486319719767c", + "3829114958b1aff1" + ], + "task_score": { + "gold_final": "8", + "predicted_final": "32", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 86, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "883623327630e3fa4ca26f2d8a2ee97ad96550bc860f2d71987e014e72c30e0f", + "generated_tokens": 308, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 207, + 19, + 4063, + 4084, + 372, + 324, + 285, + 254, + 3744, + 280, + 2354, + 279, + 254, + 2567, + 7434, + 372, + 380, + 13, + 207, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 207, + 19, + 4063, + 4084, + 11, + 254, + 2567, + 7434, + 661, + 9682, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 13, + 2086, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 33, + 403, + 207, + 17, + 50, + 185, + 185, + 4388, + 11, + 395, + 1006, + 344, + 254, + 2567, + 7434, + 643, + 2685, + 2602, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 1132, + 13, + 1002, + 2456, + 344, + 1166, + 207, + 19, + 4063, + 11, + 254, + 2567, + 7434, + 643, + 4739, + 207, + 18, + 2602, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 13, + 5512, + 254, + 45903, + 7137, + 254, + 31369, + 430, + 245, + 3934, + 280, + 207, + 19, + 55477, + 14, + 20888, + 11, + 254, + 2567, + 7434, + 643, + 4739, + 207, + 18, + 9, + 19, + 403, + 207, + 16, + 17, + 55477, + 280, + 2354, + 279, + 207, + 19, + 4063, + 13, + 185, + 185, + 3139, + 11, + 254, + 3744, + 280, + 2354, + 279, + 254, + 2567, + 7434, + 1132, + 317, + 380, + 570, + 207, + 16, + 17, + 403, + 207, + 19, + 50, + 570, + 207, + 16, + 17, + 13, + 185, + 185, + 1380, + 839, + 1006, + 344, + 254, + 2567, + 7434, + 661, + 9682, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 207, + 19, + 4063, + 4084, + 11, + 558, + 380, + 403, + 207, + 17, + 50, + 13, + 37994, + 29878, + 380, + 403, + 207, + 17, + 50, + 881, + 254, + 6337, + 380, + 570, + 207, + 16, + 17, + 403, + 207, + 19, + 50, + 570, + 207, + 16, + 17, + 11, + 395, + 752, + 25, + 185, + 185, + 17, + 50, + 570, + 207, + 16, + 17, + 403, + 207, + 19, + 50, + 570, + 207, + 16, + 17, + 185, + 185, + 19972, + 3562, + 437, + 6337, + 327, + 324, + 11, + 395, + 752, + 25, + 185, + 185, + 17, + 50, + 403, + 207, + 16, + 17, + 185, + 50, + 403, + 207, + 21, + 185, + 185, + 3139, + 11, + 254, + 1760, + 7434, + 1132, + 643, + 207, + 21, + 55477, + 280, + 2354, + 13, + 185, + 185, + 3139, + 254, + 3510, + 317, + 628, + 63962, + 90, + 21, + 3013, + 100001 + ], + "generated_token_ids_sha256": "318257aed6dec39e02505648f5761aec1da26286d0b4ac3312ca044c0206ecb4", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the amount of water in the small pool 4 minutes ago as S and the amount of water in the big pool as B. \n\nFrom the problem, we know that 4 minutes ago, the big pool had twice as much water as the small pool. So we can write this as:\n\nB = 2S\n\nNow, we know that the big pool has four times as much water as the small pool now. This means that after 4 minutes, the big pool has lost 3 times as much water as the small pool. Since the leaks empty the pools at a rate of 4 gallons/minute, the big pool has lost 3*4 = 12 gallons of water in 4 minutes.\n\nSo, the amount of water in the big pool now is B - 12 = 4S - 12.\n\nWe also know that the big pool had twice as much water as the small pool 4 minutes ago, so B = 2S. Substituting B = 2S into the equation B - 12 = 4S - 12, we get:\n\n2S - 12 = 4S - 12\n\nSolving this equation for S, we get:\n\n2S = 12\nS = 6\n\nSo, the small pool now has 6 gallons of water.\n\nSo the answer is $\\boxed{6}$.", + "text_sha256": "4373900d97c863ad10d0edfcb106083021d86b22bded7ecf8e6374d4ee49cabc", + "uniform_steps_consumed": 308, + "uniform_uint64_prefix_sha256": "c188b8abce921a71992bd14ce9ea5db60deded22da9ac6e6131f801010f32493", + "uniform_uint64_first_eight_hex": [ + "d1120bfd6eca1041", + "f1280450cd35aa4a", + "ad1972ef6719320f", + "8ea1e81a9f2ae086", + "413585388438b690", + "b185b59b3613b37e", + "1a6486319719767c", + "3829114958b1aff1" + ], + "task_score": { + "gold_final": "8", + "predicted_final": "6", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 102, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "1e9cd344b594ff2b8f10956a8305db6a475fed55e142d041228fcdd99d3972e8", + "generated_tokens": 471, + "generated_token_ids": [ + 3960, + 6, + 82, + 9211, + 254, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 372, + 324, + 285, + 254, + 3744, + 280, + 2354, + 279, + 254, + 2567, + 7434, + 372, + 380, + 13, + 185, + 185, + 4044, + 254, + 2066, + 11, + 395, + 1006, + 344, + 207, + 19, + 4063, + 4084, + 11, + 254, + 2567, + 7434, + 661, + 9682, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 13, + 2086, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 33, + 7, + 83, + 28, + 19, + 8, + 403, + 207, + 17, + 50, + 7, + 83, + 28, + 19, + 8, + 185, + 185, + 4388, + 11, + 395, + 1006, + 344, + 1166, + 207, + 19, + 4063, + 11, + 254, + 2567, + 7434, + 643, + 2685, + 2602, + 372, + 1266, + 2354, + 372, + 254, + 1760, + 7434, + 13, + 2086, + 395, + 481, + 3708, + 437, + 372, + 25, + 185, + 185, + 33, + 7, + 83, + 28, + 15, + 8, + 403, + 207, + 19, + 50, + 7, + 83, + 28, + 15, + 8, + 185, + 185, + 1380, + 839, + 1006, + 344, + 1572, + 31369, + 418, + 13916, + 2354, + 430, + 245, + 3934, + 280, + 207, + 19, + 55477, + 14, + 20888, + 13, + 2086, + 254, + 3744, + 280, + 2354, + 4739, + 457, + 1572, + 31369, + 279, + 207, + 19, + 4063, + 317, + 25, + 185, + 185, + 19, + 575, + 207, + 19, + 403, + 207, + 16, + 21, + 55477, + 185, + 185, + 4388, + 11, + 1632, + 6, + 82, + 9211, + 254, + 3744, + 280, + 2354, + 4739, + 457, + 254, + 1760, + 7434, + 372, + 324, + 62, + 29525, + 285, + 254, + 3744, + 280, + 2354, + 4739, + 457, + 254, + 2567, + 7434, + 372, + 380, + 62, + 29525, + 13, + 1003, + 1006, + 344, + 324, + 62, + 29525, + 919, + 380, + 62, + 29525, + 403, + 207, + 16, + 21, + 55477, + 13, + 185, + 185, + 7094, + 1572, + 31369, + 418, + 13916, + 2354, + 430, + 254, + 1246, + 3934, + 11, + 254, + 3744, + 280, + 2354, + 4739, + 457, + 254, + 1760, + 7434, + 317, + 254, + 1246, + 372, + 254, + 3744, + 280, + 2354, + 4739, + 457, + 254, + 2567, + 7434, + 25, + 185, + 185, + 50, + 62, + 29525, + 403, + 380, + 62, + 29525, + 185, + 185, + 4388, + 11, + 395, + 481, + 3708, + 254, + 6337, + 327, + 254, + 3744, + 280, + 2354, + 279, + 254, + 1760, + 7434, + 1166, + 207, + 19, + 4063, + 25, + 185, + 185, + 50, + 7, + 83, + 28, + 19, + 8, + 403, + 324, + 7, + 83, + 28, + 15, + 8, + 570, + 324, + 62, + 29525, + 403, + 324, + 7, + 83, + 28, + 15, + 8, + 570, + 380, + 62, + 29525, + 185, + 185, + 1380, + 839, + 1006, + 344, + 380, + 7, + 83, + 28, + 19, + 8, + 403, + 207, + 19, + 50, + 7, + 83, + 28, + 19, + 654, + 558, + 395, + 481, + 22463, + 380, + 62, + 29525, + 366, + 324, + 62, + 29525, + 25, + 185, + 185, + 50, + 7, + 83, + 28, + 19, + 8, + 403, + 324, + 7, + 83, + 28, + 15, + 8, + 570, + 324, + 62, + 29525, + 403, + 380, + 7, + 83, + 28, + 15, + 8, + 570, + 324, + 7, + 83, + 28, + 15, + 8, + 185, + 185, + 81089, + 380, + 7, + 83, + 28, + 15, + 8, + 403, + 207, + 19, + 50, + 7, + 83, + 28, + 15, + 8, + 881, + 254, + 6337, + 11, + 395, + 752, + 25, + 185, + 185, + 50, + 7, + 83, + 28, + 19, + 8, + 403, + 207, + 19, + 50, + 7, + 83, + 28, + 15, + 8, + 570, + 324, + 7, + 83, + 28, + 15, + 8, + 403, + 207, + 18, + 50, + 7, + 83, + 28, + 15, + 8, + 185, + 185, + 3139, + 11, + 254, + 1760, + 7434, + 643, + 207, + 18, + 2602, + 254, + 3744, + 280, + 2354, + 359, + 661, + 207, + 19, + 4063, + 4084, + 13, + 100001 + ], + "generated_token_ids_sha256": "60e00d082884ff554928dceaf805026fefcbd2111b490fdcbf4cc9047f29f046", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's denote the amount of water in the small pool as S and the amount of water in the big pool as B.\n\nFrom the problem, we know that 4 minutes ago, the big pool had twice as much water as the small pool. So we can write this as:\n\nB(t=4) = 2S(t=4)\n\nNow, we know that after 4 minutes, the big pool has four times as much water as the small pool. So we can write this as:\n\nB(t=0) = 4S(t=0)\n\nWe also know that both pools are losing water at a rate of 4 gallons/minute. So the amount of water lost by both pools in 4 minutes is:\n\n4 * 4 = 16 gallons\n\nNow, let's denote the amount of water lost by the small pool as S_lost and the amount of water lost by the big pool as B_lost. We know that S_lost + B_lost = 16 gallons.\n\nSince both pools are losing water at the same rate, the amount of water lost by the small pool is the same as the amount of water lost by the big pool:\n\nS_lost = B_lost\n\nNow, we can write the equation for the amount of water in the small pool after 4 minutes:\n\nS(t=4) = S(t=0) - S_lost = S(t=0) - B_lost\n\nWe also know that B(t=4) = 4S(t=4), so we can substitute B_lost with S_lost:\n\nS(t=4) = S(t=0) - S_lost = B(t=0) - S(t=0)\n\nSubstituting B(t=0) = 4S(t=0) into the equation, we get:\n\nS(t=4) = 4S(t=0) - S(t=0) = 3S(t=0)\n\nSo, the small pool has 3 times the amount of water it had 4 minutes ago.", + "text_sha256": "e2510b29e591fcda590f9782b886a36fd02714ad64dfd3949279d219f98ce37e", + "uniform_steps_consumed": 471, + "uniform_uint64_prefix_sha256": "6ea53b38bd32473ecdeaed4b7ce1bc5b433bb3c89db07245437808b1c32bf80b", + "uniform_uint64_first_eight_hex": [ + "d1120bfd6eca1041", + "f1280450cd35aa4a", + "ad1972ef6719320f", + 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+ "generated_token_ids_sha256": "e19fa9207aa3d99d71cb68028c248c34b148c7cde6dd3156e20ec8db1c398b13", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's assume Sam gets x feet of fence.\nSince Harry gets 60 feet more than Sam, Harry gets x + 60 feet of fence.\nThe total amount of fence they have is x + (x + 60) = 2x + 60 feet.\nWe know that the total amount of fence they have is 100 feet, so 2x + 60 = 100.\nSubtracting 60 from both sides, we get 2x = 40.\nDividing both sides by 2, we get x = 20.\nSo Sam gets 20 feet of fence.\nThe amount left over for Sam is 100 - 20 = 80 feet.\nThe answer is: 80", + "text_sha256": "daa0839468f605e0d9ea2cc97a1cef6751db98a2745643d63d5bf742b7c310a6", + "uniform_steps_consumed": 174, + "uniform_uint64_prefix_sha256": "62d1bc6217411334b656f0382589155e9ca50986da069693486a4196ffc59bd2", + "uniform_uint64_first_eight_hex": [ + "f119f8003127b284", + "c911376a43b80872", + "dcfbd3db79bd36e7", + "76082970e9a2610f", + "c1fd9c529bc24fbf", + "a08bb3612cf008a6", + "9703ef6325b592d1", + "1be812204b9d101f" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "80", + "final_numeric_exact": false + } + }, + { + "condition": "s1_eos", + "factors": { + "system": 1, + "history": "filler", + "boundary": "eos", + "token_class": "special" + }, + "prompt_tokens": 80, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "d69adb22e72379a288fbe7a075dfae7c553f1cd372b4e1338506f1fff11de49c", + "generated_tokens": 174, + "generated_token_ids": [ + 3960, + 6, + 82, + 6049, + 7421, + 5698, + 1376, + 5144, + 280, + 21097, + 13, + 185, + 7094, + 14503, + 5698, + 207, + 21, + 15, + 5144, + 691, + 853, + 7421, + 11, + 14503, + 5698, + 1376, + 919, + 207, + 21, + 15, + 5144, + 280, + 21097, + 13, + 185, + 549, + 3223, + 3744, + 280, + 21097, + 657, + 463, + 317, + 1376, + 919, + 334, + 87, + 919, + 207, + 21, + 15, + 8, + 403, + 207, + 17, + 87, + 919, + 207, + 21, + 15, + 5144, + 13, + 185, + 1380, + 1006, + 344, + 254, + 3223, + 3744, + 280, + 21097, + 657, + 463, + 317, + 207, + 16, + 15, + 15, + 5144, + 11, + 558, + 207, + 17, + 87, + 919, + 207, + 21, + 15, + 403, + 207, + 16, + 15, + 15, + 13, + 185, + 5723, + 83, + 31278, + 207, + 21, + 15, + 473, + 1572, + 9226, + 11, + 395, + 752, + 207, + 17, + 87, + 403, + 207, + 19, + 15, + 13, + 185, + 18835, + 3645, + 1572, + 9226, + 457, + 207, + 17, + 11, + 395, + 752, + 1376, + 403, + 207, + 17, + 15, + 13, + 185, + 3139, + 7421, + 5698, + 207, + 17, + 15, + 5144, + 280, + 21097, + 13, + 185, + 549, + 3744, + 2116, + 855, + 327, + 7421, + 317, + 207, + 16, + 15, + 15, + 570, + 207, + 17, + 15, + 403, + 207, + 23, + 15, + 5144, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 23, + 15, + 100001 + ], + "generated_token_ids_sha256": "e19fa9207aa3d99d71cb68028c248c34b148c7cde6dd3156e20ec8db1c398b13", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's assume Sam gets x feet of fence.\nSince Harry gets 60 feet more than Sam, Harry gets x + 60 feet of fence.\nThe total amount of fence they have is x + (x + 60) = 2x + 60 feet.\nWe know that the total amount of fence they have is 100 feet, so 2x + 60 = 100.\nSubtracting 60 from both sides, we get 2x = 40.\nDividing both sides by 2, we get x = 20.\nSo Sam gets 20 feet of fence.\nThe amount left over for Sam is 100 - 20 = 80 feet.\nThe answer is: 80", + "text_sha256": "daa0839468f605e0d9ea2cc97a1cef6751db98a2745643d63d5bf742b7c310a6", + "uniform_steps_consumed": 174, + "uniform_uint64_prefix_sha256": "62d1bc6217411334b656f0382589155e9ca50986da069693486a4196ffc59bd2", + "uniform_uint64_first_eight_hex": [ + "f119f8003127b284", + "c911376a43b80872", + "dcfbd3db79bd36e7", + "76082970e9a2610f", + "c1fd9c529bc24fbf", + "a08bb3612cf008a6", + "9703ef6325b592d1", + "1be812204b9d101f" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "80", + "final_numeric_exact": false + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + 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get x = 20.\nSo Sam gets 20 feet of fence.\nThe amount left over for Sam is 100 - 20 = 80 feet.\nThe answer is: 80", + "text_sha256": "daa0839468f605e0d9ea2cc97a1cef6751db98a2745643d63d5bf742b7c310a6", + "uniform_steps_consumed": 174, + "uniform_uint64_prefix_sha256": "62d1bc6217411334b656f0382589155e9ca50986da069693486a4196ffc59bd2", + "uniform_uint64_first_eight_hex": [ + "f119f8003127b284", + "c911376a43b80872", + "dcfbd3db79bd36e7", + "76082970e9a2610f", + "c1fd9c529bc24fbf", + "a08bb3612cf008a6", + "9703ef6325b592d1", + "1be812204b9d101f" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "80", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 80, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "bf76b11c64ed89bbbc3c99b59b209b018067babb9eee02f83de67863c9a787bb", + "generated_tokens": 188, + 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21097, + 13, + 185, + 1898, + 1275, + 636, + 946, + 1266, + 317, + 2116, + 855, + 327, + 7421, + 11, + 395, + 53909, + 207, + 17, + 15, + 473, + 254, + 3223, + 3744, + 280, + 21097, + 25, + 207, + 16, + 15, + 15, + 570, + 207, + 17, + 15, + 403, + 207, + 23, + 15, + 5144, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 23, + 15, + 100001 + ], + "generated_token_ids_sha256": "540b2e41129b920e02c995b4f6392bbbc28eb3ca9c78f816302c3245a8cf26c1", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " Let's assume Sam gets x feet of fence.\nSince Harry gets 60 feet more than Sam, Harry gets x + 60 feet of fence.\nThe total amount of fence they have is x + (x + 60) = 2x + 60 feet.\nWe know that the total amount of fence is 100 feet, so 2x + 60 = 100.\nSubtracting 60 from both sides, we get 2x = 40.\nDividing both sides by 2, we get x = 20.\nSo Sam gets 20 feet of fence.\nTo find out how much is left over for Sam, we subtract 20 from the total amount of fence: 100 - 20 = 80 feet.\nThe answer is: 80", + "text_sha256": "6d1e47769ffe9263981f1a19fdc58efd8beb600eb7a9eb5e5e20902ea82a789a", + "uniform_steps_consumed": 188, + "uniform_uint64_prefix_sha256": "5334d190f483a41f53c928345ef9a322c6c892ccb65afb963613b69d93b9ebfd", + "uniform_uint64_first_eight_hex": [ + "f119f8003127b284", + "c911376a43b80872", + "dcfbd3db79bd36e7", + "76082970e9a2610f", + "c1fd9c529bc24fbf", + "a08bb3612cf008a6", + "9703ef6325b592d1", + "1be812204b9d101f" + ], + "task_score": { + "gold_final": "20", + "predicted_final": "80", + "final_numeric_exact": false + } + } + ] + } + ], + "in_process_replay": null + }, + { + "id": "gsm8k/test/0964", + "domain": "math", + "label": "Grade-school math", + "within_domain_index": 31, + "selection_rank": "06d23587754d564944074e12dcaccf0ab91e70a3eafddf832d30f2553730d38a", + "source_text_sha256": "31c70fdf274828397d34824e8342ec13a0e3c45714f337ae0ae0d8aed2272e0f", + "source_characters": 232, + "source_tokens": 50, + "prompt_tokens_by_condition": { + 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20 * 10 = 200 minutes watching the show.\nThe answer is: 200", + "text_sha256": "9518e3576ffc00f40da07cf21f5766591a016f8ba782a3d056addc1e852e044f", + "uniform_steps_consumed": 98, + "uniform_uint64_prefix_sha256": "db459f3bc08ba2a17d39cfae3d051357a64224079cd08da297e7055e952a25c1", + "uniform_uint64_first_eight_hex": [ + "5909c7ca36e80a7f", + "825ec67bbce9fa96", + "b80b9d2a9b703af6", + "75ac7cf862f97914", + "6bc6402976e203f7", + "8b13c723c719e02a", + "757bfef8764ba882", + "b1c9accf6fbc4d6c" + ], + "task_score": { + "gold_final": "200", + "predicted_final": "200", + "final_numeric_exact": true + } + }, + { + "condition": "s0_period", + "factors": { + "system": 0, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 74, + "left_padding_tokens": 16, + "prompt_token_ids_sha256": "985e360aa6163b97ab5a4f3fba97a707db2643155fe4c1c320ae24ed6f9dcb61", + "generated_tokens": 68, + "generated_token_ids": [ + 1273, + 1319, + 15341, + 317, + 207, + 17, + 15, + 4063, + 1234, + 11, + 937, + 745, + 418, + 207, + 17, + 15, + 14, + 17, + 15, + 403, + 207, + 16, + 15341, + 279, + 3223, + 13, + 185, + 7094, + 745, + 317, + 3222, + 372, + 1313, + 26774, + 372, + 745, + 418, + 4063, + 513, + 15341, + 11, + 3326, + 543, + 7594, + 207, + 16, + 575, + 207, + 17, + 15, + 403, + 207, + 17, + 15, + 4063, + 9697, + 254, + 1296, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 100001 + ], + "generated_token_ids_sha256": "24e0750594b9718b5cdb190c7ebdb3688f86f4be3b1be2bff0c2285fc4c6d386", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If each episode is 20 minutes long, then there are 20/20 = 1 episode in total.\nSince there is half as many episodes as there are minutes per episode, John will spend 1 * 20 = 20 minutes watching the show.\nThe answer is: 20", + "text_sha256": "f6db26d5e29f0dbf04544ab3cb6f6ac5299ec6f02b5b073ad8e67f94deb29436", + "uniform_steps_consumed": 68, + "uniform_uint64_prefix_sha256": "d2b49b49e1be7269ea04e955e8ae96102a05fff368c339291d53b60556a682a6", + "uniform_uint64_first_eight_hex": [ + "5909c7ca36e80a7f", + "825ec67bbce9fa96", + "b80b9d2a9b703af6", + "75ac7cf862f97914", + "6bc6402976e203f7", + "8b13c723c719e02a", + "757bfef8764ba882", + "b1c9accf6fbc4d6c" + ], + "task_score": { + "gold_final": "200", + "predicted_final": "20", + "final_numeric_exact": false + } + }, + { + "condition": "s1_period", + "factors": { + "system": 1, + "history": "filler", + "boundary": "period", + "token_class": "ordinary_control" + }, + "prompt_tokens": 90, + "left_padding_tokens": 0, + "prompt_token_ids_sha256": "3312c2f256d21ea9f631c4c0ec6fbd3932c071100b8bc7abd03e957ece725ebb", + "generated_tokens": 78, + "generated_token_ids": [ + 1273, + 1319, + 15341, + 317, + 207, + 17, + 15, + 4063, + 1234, + 285, + 745, + 418, + 3222, + 372, + 1313, + 26774, + 372, + 745, + 418, + 4063, + 513, + 15341, + 11, + 937, + 745, + 418, + 207, + 17, + 15, + 14, + 17, + 403, + 207, + 16, + 15, + 26774, + 279, + 3223, + 13, + 185, + 1847, + 3326, + 32741, + 1131, + 15341, + 11, + 362, + 543, + 7594, + 207, + 17, + 15, + 4063, + 1376, + 207, + 16, + 15, + 26774, + 403, + 207, + 17, + 15, + 15, + 4063, + 9697, + 254, + 1296, + 13, + 185, + 549, + 3510, + 317, + 25, + 207, + 17, + 15, + 15, + 100001 + ], + "generated_token_ids_sha256": "6ad7b8c26f212310a7ad161a8ab8a308beca78da4f646a320c75d7d00f3b0ef5", + "hit_eos": true, + "stopped_at_max_new_tokens": false, + "text": " If each episode is 20 minutes long and there are half as many episodes as there are minutes per episode, then there are 20/2 = 10 episodes in total.\nIf John watches every episode, he will spend 20 minutes x 10 episodes = 200 minutes watching the show.\nThe answer is: 200", + "text_sha256": "5e6947267b9ca35670b35c9ad14bd2bca2a4b906a5a69dca5b966c3bdb0a1b72", + "uniform_steps_consumed": 78, + "uniform_uint64_prefix_sha256": "f09cf045cb804dc453034ff298b5c70351db58a18b2110dded39387820a5c5b0", + "uniform_uint64_first_eight_hex": [ + "5909c7ca36e80a7f", + "825ec67bbce9fa96", + "b80b9d2a9b703af6", + "75ac7cf862f97914", + "6bc6402976e203f7", + "8b13c723c719e02a", + "757bfef8764ba882", + "b1c9accf6fbc4d6c" + ], + "task_score": { + "gold_final": "200", + "predicted_final": "200", + "final_numeric_exact": true + } + } + ] + } + ], + "in_process_replay": null + } + ], + "summary": { + "sources": 64, + "runs": 88, + "outputs": 352, + "natural_eos": 343, + "budget_truncated": 9, + "unique_generated_token_hashes": 320, + "torch_rng_unchanged_runs": 88, + "in_process_replay": { + "sources": 0, + "cells": 0, + "all_exact": 0, + "passed": null + }, + "by_domain": { + "code": { + "sources": 32, + "outputs": 176, + "natural_eos": 168, + "budget_truncated": 8, + "mean_generated_tokens": 277.27840909090907 + }, + "math": { + "sources": 32, + "outputs": 176, + "natural_eos": 175, + "budget_truncated": 1, + "mean_generated_tokens": 183.1875 + } + } + }, + "claim_boundary": [ + "HumanEval and GSM8K are analyzed separately.", + "The main estimand is scoped to the frozen 32 selected tasks per domain under tape T0.", + "Selected-task bootstrap bands are not benchmark-population, model-ability, or seed-uncertainty intervals.", + "The explicit inverse-CDF sampler uses the official temperature/top-p distribution but is not the exact Transformers torch.multinomial trajectory.", + "Counterfactual period sequences are not official-valid chats.", + "Passing HumanEval tests is functional, not safety, evidence.", + "CPU-offloaded eager latency is not serving throughput." + ], + "content_hash": "ed849b2edab2598829f1b34efff6ceb0671ba5e0c65f6ebd824edea3f50ce531" +}