id float64 1 1.85k ⌀ | prompt stringclasses 471
values | plan_id float64 0 10 ⌀ | plan stringlengths 16 5.84k | step_count float64 1 11 ⌀ |
|---|---|---|---|---|
36 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 4 | {"walk":["I want you to recall and summarize (in your own words) the strongest known exchange-argument patterns for constructing optimal permutations when the objective is a sum of absolute deviations of adjacent differences. Output a short list of candidate structural forms an optimal permutation might take (e.g., sor... | 4 |
36 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 5 | {"walk":["I want you to prepare a fast mental model for lexicographic minimization under an optimization constraint. Output a short guide describing how to: (1) find the minimum value of an objective over permutations, and (2) among all minimizers choose the lexicographically smallest permutation. Include how to handle... | 5 |
36 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 6 | {"walk":["You are an expert competitive programmer. For this step, I want you to solve the problem conceptually (no code yet): derive the minimum possible value of\nsum_{i=1}^{n-1} |b_{i+1}-b_i-c|\nacross permutations b of a, and describe an algorithm to construct at least one optimal permutation. Also explain how to o... | 6 |
37 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit.\\n\\nThe title of this story should be: Time's Lost Embrace\\n\\nIt should feature the following genr... | 1 | {"walk":["I want you to write a story using this writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit. Requirements: The title must be exactly: Time's Lost Embrace. Genres must clearly be: Science Fiction, Drama. Length: exactly one scene, exactl... | 1 |
37 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit.\\n\\nThe title of this story should be: Time's Lost Embrace\\n\\nIt should feature the following genr... | 2 | {"walk":["I want a compact emotional-and-scifi anchor list for a 100-word, single-scene microfiction. Premise to keep in mind: a father leaves to buy milk and returns 50 years later unchanged, milk in hand. Output two lists: (1) 5–7 emotional beats that fit Drama (grief, disbelief, tenderness, resentment, reconciliatio... | 2 |
37 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit.\\n\\nThe title of this story should be: Time's Lost Embrace\\n\\nIt should feature the following genr... | 3 | {"walk":["Write a first draft of a single-scene microfiction based on this prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit. Title must be exactly: Time's Lost Embrace. Genres: Science Fiction, Drama. Do NOT worry about the 100-word limit yet; priori... | 3 |
37 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit.\\n\\nThe title of this story should be: Time's Lost Embrace\\n\\nIt should feature the following genr... | 4 | {"walk":["Write a raw scene draft (can be messy) based on this prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit. Keep it as one continuous scene. Include emotional reaction and at least one concrete sci‑fi detail, but do not worry about word count ye... | 4 |
37 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit.\\n\\nThe title of this story should be: Time's Lost Embrace\\n\\nIt should feature the following genr... | 5 | {"walk":["Write an initial story attempt as a single continuous scene for this premise: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit. Do not worry about the 100-word limit yet. Make it emotionally grounded and include at least one science-fiction signal.... | 5 |
37 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Your father leaves the house to buy milk, 50 years later he comes back with milk in hand and hasn't aged a bit.\\n\\nThe title of this story should be: Time's Lost Embrace\\n\\nIt should feature the following genr... | 6 | {"walk":["I want you to write a microfiction that fits exactly 100 words in a single scene and lands as Science Fiction + Drama. Before seeing any premise, output a compact 100-word microfiction toolkit consisting of: (1) a word-budget template (how many words to spend on setup, reveal, emotional turn, closing), and (2... | 6 |
38 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"Can you write me a detailed explanation about what the underground railroad was?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 1 | {"walk":["I want a detailed explanation of what the Underground Railroad was. Please write a clear, well-structured explanation that covers: what it was (and what it was not), when and where it operated, who participated (enslaved people, free Black communities, abolitionists, and other allies), how it functioned in pr... | 1 |
38 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"Can you write me a detailed explanation about what the underground railroad was?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 2 | {"walk":["I want a detailed explanation of what the Underground Railroad was. First, write an initial full explanation (as if it were the final answer): define it, give historical timeframe and geography, describe participants and operations, explain significance, and address misconceptions. Organize with headings and ... | 2 |
38 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"Can you write me a detailed explanation about what the underground railroad was?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 3 | {"walk":["Before explaining anything, write a short “reader-friendly history explainer rubric” for this topic: list the key dimensions a good explanation should cover (definition, scope, actors, mechanisms, risks, significance, misconceptions) and 5 common pitfalls to avoid (e.g., treating it like a literal train, flat... | 3 |
38 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"Can you write me a detailed explanation about what the underground railroad was?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 4 | {"walk":["Write a concise but concrete glossary of terms that a reader might need for this topic, without yet explaining the Underground Railroad itself. Include short definitions for terms like: slavery/enslavement, abolitionist, fugitive slave laws, free Black communities, safe house, conductor, network, and emancipa... | 4 |
38 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"Can you write me a detailed explanation about what the underground railroad was?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 5 | {"walk":["I want a detailed explanation of what the Underground Railroad was. Write a thorough first version organized with headings. Cover definition, timeframe/geography, participants, how it worked, risks, significance, and misconceptions. Output the complete explanation.","Improve the explanation by increasing hist... | 5 |
38 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"Can you write me a detailed explanation about what the underground railroad was?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 6 | {"walk":["I want a detailed explanation of what the Underground Railroad was. Start by writing a version aimed at a general adult reader: clear, detailed, organized with headings, covering definition, timeframe/geography, participants, operations, risks, significance, and misconceptions. Output the complete explanation... | 6 |
39 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn quadrilateral $ABCD$, where $AC = BD$ and $\\angle B = 60^\\circ$, denote by $M$ and ... | 1 | {"walk":["Solve this math problem step by step, and make the very last line exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: In quadrilateral ABCD, AC = BD and angle B = 60 degrees. Let M and N be the midpoints of segment AB and segment CD, respectively. Given MN = 12 and the a... | 1 |
39 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn quadrilateral $ABCD$, where $AC = BD$ and $\\angle B = 60^\\circ$, denote by $M$ and ... | 2 | {"walk":["I want you to prepare a compact toolkit of geometric facts that are likely useful for this type of midpoint/diagonal/area problem. Output only: (1) 3–6 relevant theorems/lemmas written in your own words (e.g., midpoint segment vectors, area in terms of cross products, properties when two diagonals are equal, ... | 2 |
39 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn quadrilateral $ABCD$, where $AC = BD$ and $\\angle B = 60^\\circ$, denote by $M$ and ... | 3 | {"walk":["Solve this problem step by step, and end with the last line exactly: Answer: <Answer>.\n\nProblem: In quadrilateral ABCD, AC = BD and angle B = 60 degrees. M and N are the midpoints of AB and CD. Given MN = 12 and area(ABCD) = 420, compute AC.\n\nIn this step, focus on producing a first complete solution atte... | 3 |
39 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn quadrilateral $ABCD$, where $AC = BD$ and $\\angle B = 60^\\circ$, denote by $M$ and ... | 4 | {"walk":["Solve this geometry problem step by step and end with the last line exactly: Answer: <Answer>.\n\nProblem: In quadrilateral ABCD, AC = BD and ∠B = 60°. M and N are the midpoints of AB and CD. Given MN = 12 and area(ABCD) = 420, compute AC.","Before continuing, extract and rewrite the key constraints as equati... | 4 |
39 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn quadrilateral $ABCD$, where $AC = BD$ and $\\angle B = 60^\\circ$, denote by $M$ and ... | 5 | {"walk":["I want a short preparation on midpoint geometry in quadrilaterals. Output: a compact derivation (in general vectors) of the formula for the vector \\overrightarrow{MN} where M is the midpoint of AB and N is the midpoint of CD, in terms of the position vectors of A,B,C,D. Also state any immediate consequences ... | 5 |
39 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nIn quadrilateral $ABCD$, where $AC = BD$ and $\\angle B = 60^\\circ$, denote by $M$ and ... | 6 | {"walk":["Solve this specific problem step by step (first draft), and end with the last line exactly: Answer: <Answer>.\n\nProblem: In quadrilateral ABCD, AC = BD and ∠B = 60°. Let M and N be the midpoints of AB and CD, respectively. Given MN = 12 and the area of ABCD is 420, compute AC.","Now do a deep critique of the... | 6 |
40 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 1 | {"walk":["You are an expert competitive programmer. Solve the following problem step by step (the solution must respect the time limit 5.0 seconds and memory limit 256.0 MB), then provide a complete implementation in Python 3.\n\nYour solution must read input from standard input (cin), write output to standard output (... | 1 |
40 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 2 | {"walk":["I want you to solve a competitive programming problem about answering many range queries on an array of stick lengths, where each query asks whether it is possible to pick 6 distinct sticks in the range to form 2 non-degenerate triangles. For this step, do NOT write code yet.\n\nTask: derive the core mathemat... | 2 |
40 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 3 | {"walk":["I want you to focus on the mathematical structure of forming two disjoint non-degenerate triangles from a multiset of lengths. For this step, derive useful necessary/sufficient conditions and simplifications (for example: sorting arguments, local adjacency checks, greedy selection proofs, counterexamples). Ou... | 3 |
40 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 4 | {"walk":["I want you to design an efficient range-query algorithm for this abstract task: given an array of positive integers (stick lengths), each query asks whether within a subarray you can select 6 distinct elements that can be partitioned into two triples, each triple forming a strict non-degenerate triangle (for ... | 4 |
40 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 5 | {"walk":["I want you to prepare a competitive-programming “risk list” for answering many range queries on large arrays under a 5-second time limit in Python. Output a checklist of common pitfalls and performance killers (e.g., per-query sorting, heavy per-query heap ops, recursion depth, slow I/O, too-large segment tre... | 6 |
40 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 6 | {"walk":["I want you to start from the combinatorics of the core decision problem, independent of range queries. For this step, assume I give you a multiset of at least 6 positive integers (stick lengths). Determine whether it is possible to pick 6 distinct sticks that can be partitioned into two triples, each triple f... | 6 |
41 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of th... | 1 | {"walk":["I want you to write the final story now. Use this writing prompt as the core premise: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of this inventio... | 1 |
41 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of th... | 2 | {"walk":["I want you to write Chapter 1 only as a complete, polished chapter (story prose), based on this premise: sleep-outsourcing lets someone else sleep for me so I can stay awake with limitless energy as long as I can pay, but now the consequences are emerging. Genres must already be clear: Science Fiction and Hor... | 2 |
41 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of th... | 3 | {"walk":["I want you to design the rules and consequences of sleep-outsourcing as a concrete sci-fi system. Output a \"Sleep-Outsourcing Spec\" with: how it works technically, what is transferred (fatigue, dreams, memory effects, circadian debt), what it costs, what corporations/black markets exist around it, and 5 spe... | 3 |
41 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of th... | 4 | {"walk":["Write Chapter 1 as a complete, polished chapter of a Science Fiction + Horror story about sleep-outsourcing: paying someone else to sleep so I can stay awake with limitless energy as long as I can afford it, but the consequences are surfacing. Make Chapter 1 exactly 1000 words of story prose (heading not coun... | 4 |
41 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of th... | 5 | {"walk":["Write a complete Chapter 1 (Science Fiction + Horror) based on this premise: sleep-outsourcing means I can pay someone else to sleep for me, giving me limitless energy as long as I can afford it, but consequences are emerging. Make it immersive and scary. For this step, do not worry about exact word count, bu... | 5 |
41 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: When sleep-outsourcing was first invented, it seemed so convenient. You simply paid someone else to sleep for you and you'd have limitless energy for as long as you could afford it. But now, the consequences of th... | 6 | {"walk":["I want you to first generate a small set of horror-flavored thematic lenses for a sci-fi story about sleep-outsourcing. Output 6 lenses, each as a short paragraph describing a distinct kind of dread (e.g., bodily, social, metaphysical, economic, identity, predatory), and for each lens include what kind of sce... | 6 |
42 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Answer the following multiple-choice question.\\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\\n\\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\\n\\nChoices:\\nA. Earth\\nB. Pluto\\nC.... | 1 | {"walk":["Answer the following multiple-choice question. Respond with ONLY the letter of the correct answer (A, B, C, D, etc.). Do any reasoning silently and do not output any explanation or extra characters.\n\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\n\n... | 1 |
42 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Answer the following multiple-choice question.\\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\\n\\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\\n\\nChoices:\\nA. Earth\\nB. Pluto\\nC.... | 2 | {"walk":["I want a short decision rule for this exact task format. Define, in one sentence, how to choose the correct option for a multiple-choice question that asks about the center of the solar system and gravitational dominance. Do not answer any specific question yet.","Now answer the following multiple-choice ques... | 2 |
42 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Answer the following multiple-choice question.\\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\\n\\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\\n\\nChoices:\\nA. Earth\\nB. Pluto\\nC.... | 3 | {"walk":["I want you to adopt a careful reading stance for science-test multiple-choice questions. Output a short checklist (3 items max) for avoiding common traps (like confusing “center” with “closest,” or mixing up objects in the solar system). Do not answer any specific question yet.","Now answer this multiple-choi... | 3 |
42 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Answer the following multiple-choice question.\\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\\n\\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\\n\\nChoices:\\nA. Earth\\nB. Pluto\\nC.... | 4 | {"walk":["Answer the following multiple-choice question. For this step only, output the exact choice TEXT you believe is correct (verbatim from the options), not the letter. Do not explain.\n\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\n\nChoices:\nA. Earth\... | 4 |
42 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Answer the following multiple-choice question.\\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\\n\\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\\n\\nChoices:\\nA. Earth\\nB. Pluto\\nC.... | 5 | {"walk":["I want a minimal glossary for this specific question. Define each of these objects in one short phrase in the context of the solar system: Earth, Pluto, the Moon, the Sun. Do not answer the question yet.","Now restate the question in your own words in one sentence, making the intended meaning unambiguous. Do ... | 5 |
42 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Answer the following multiple-choice question.\\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\\n\\nQuestion: Which object has a gravitational force so strong that it forms the center of the solar system?\\n\\nChoices:\\nA. Earth\\nB. Pluto\\nC.... | 6 | {"walk":["I want you to calibrate how you will answer this kind of question. In 2–3 sentences, explain (at a high level) what typically determines the “center” of a system in basic astronomy (mass dominance / gravitational barycenter idea) without mentioning any specific answer choices or letters.","Now answer this mul... | 6 |
43 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nAva and Tiffany participate in a knockout tournament consisting of a total of $32$ playe... | 1 | {"walk":["Solve this math problem step by step, and make the very last line exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: Ava and Tiffany participate in a knockout tournament with 32 total players. There are 5 rounds. In each round, the remaining players are paired uniformly... | 1 |
43 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nAva and Tiffany participate in a knockout tournament consisting of a total of $32$ playe... | 2 | {"walk":["Solve this math problem step by step up through obtaining a numerical value for the probability that Ava and Tiffany play each other during the tournament. Do NOT reduce the fraction yet; keep it as an exact rational number if possible.\n\nProblem: Ava and Tiffany participate in a knockout tournament consisti... | 2 |
43 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nAva and Tiffany participate in a knockout tournament consisting of a total of $32$ playe... | 3 | {"walk":["Before solving the specific 32-player problem, I want general context. Consider a single-elimination tournament with N players (N is a power of 2), with random uniform pairing each round and fair 50-50 outcomes. I want you to derive a general approach for computing the probability that two specific players ev... | 3 |
43 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nAva and Tiffany participate in a knockout tournament consisting of a total of $32$ playe... | 4 | {"walk":["Solve the problem by first computing the probability that Ava and Tiffany meet specifically in Round 1 (the first round) of a 32-player knockout tournament with uniform random pairing and 50-50 match outcomes. Show the calculation clearly and keep it exact. Do not compute later rounds yet.\n\nFull problem con... | 4 |
43 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nAva and Tiffany participate in a knockout tournament consisting of a total of $32$ playe... | 5 | {"walk":["Solve the problem by constructing a clean probabilistic model and defining the event of interest precisely.\n\nProblem: Ava and Tiffany are among 32 players in a 5-round single-elimination knockout tournament. Each round, remaining players are paired uniformly at random. Each match is fair (each player has pr... | 5 |
43 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nAva and Tiffany participate in a knockout tournament consisting of a total of $32$ playe... | 6 | {"walk":["Before you see the specific numbers, I want general background on random pairing. Suppose there are 2s players remaining in a round, and two distinguished players X and Y are among them. Players are paired uniformly at random into s pairs. Derive the exact probability that X is paired with Y in that round. Ou... | 6 |
44 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 1 | {"walk":["You are an expert competitive programmer. Solve the following problem step by step (respecting the time limit 2.0 seconds and memory limit 256.0 MB), then provide a complete implementation in Python 3.\n\nYour solution must read input from standard input (cin) and write output to standard output (cout). Do no... | 1 |
44 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 2 | {"walk":["You are an expert competitive programmer. I want you to first derive the optimal strategy and algorithm for the following problem, with step-by-step reasoning, but do NOT write code yet.\n\nProblem: Given an integer array a_1..a_n (n ≤ 18). You may do at most 5*10^5 operations: choose l,r (1≤l≤r≤n), compute x... | 2 |
44 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 3 | {"walk":["I want a compact toolbox for reasoning about MEX-on-subarray overwrite operations. Please output: (1) key properties of MEX relevant to maximizing values, (2) how overwriting a segment to its MEX can increase/decrease sum, (3) what kinds of local configurations allow creating larger numbers, and (4) any invar... | 3 |
44 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 4 | {"walk":["You are an expert competitive programmer. I want you to write a fast, correct reference solver strategy for maximizing the sum under this MEX-overwrite operation, but in this step do NOT write code.\n\nProblem: We have array a_1..a_n (n ≤ 18). Operation (≤ 5*10^5 times): choose l,r (1≤l≤r≤n), let x = MEX({a_l... | 4 |
44 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 5 | {"walk":["I want a set of general-purpose observations about how to maximize sums when operations replace segments by the MEX of their current contents. Please output 8–12 bullet-point lemmas/heuristics about MEX behavior, especially for small n (n ≤ 18) where brute force or DP over states might be possible. Keep it ge... | 6 |
44 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 6 | {"walk":["You are an expert competitive programmer. Solve the following specific problem step by step (no code yet), ensuring correctness under time limit 2.0s and memory limit 256MB, and respecting the maximum of 5*10^5 operations.\n\nProblem: Given array a_1..a_n (1 ≤ n ≤ 18, 0 ≤ a_i ≤ 1e7). Operation (≤ 5*10^5 times... | 6 |
45 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find ... | 1 | {"walk":["I want you to write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find a vampire and a vampire hunter on... | 1 |
45 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find ... | 2 | {"walk":["I want a compact “tone + boundary + continuity contract” for a three-chapter story that blends Horror, Erotica, and Paranormal in a single coherent arc. For this step, output:\n1) a short paragraph describing the intended tone (how horror and erotica coexist without undercutting each other),\n2) 5–7 concrete ... | 2 |
45 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find ... | 3 | {"walk":["Write a complete first draft of the story now using this writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find a vampire and a vampire ... | 3 |
45 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find ... | 4 | {"walk":["I want you to design a paranormal mechanics backbone for a vampire story that can support both Horror and Erotica without contradictions. For this step, output:\n- a concise set of rules for vampires (what they can/can’t do, what triggers desire/fear, what myths are true/false),\n- a concise set of rules for ... | 4 |
45 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find ... | 5 | {"walk":["I want you to generate a “character desire map” for a three-way doorstep encounter scenario in a paranormal horror-erotica crime-of-the-body style (no story yet). Output:\n- the protagonist’s surface want, deeper need, and fear,\n- the vampire’s want/need/fear,\n- the hunter’s want/need/fear,\n- and one secre... | 5 |
45 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You were happy with getting an A+ on your \"vampire myths\" essay, with a comment about how you did excellent research, but you thought that was the end of it. A few days later, though, you open your door to find ... | 6 | {"walk":["I want a short “micro-research digest” on vampire myths that could plausibly appear in a student essay, but written as bullet points. Output 10–14 bullets of specific myth claims (some true, some false), and mark each bullet as (commonly believed) vs (obscure). Do not write story prose yet.","Now take your di... | 6 |
46 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"An 19 year old girl got new glasses with-1.25D. The new glasses have smaller pupillary distance by 6mm by hman mistake, so each eye has 0.375D base out prismatic effect. Without anyones knowledge. What could happen in the upcoming years? Possibilities in percent plea... | 1 | {"walk":["I want a careful, medically responsible, uncertainty-aware answer about long-term effects of accidentally induced prism from eyeglasses. Here are the full details: An 19-year-old girl got new glasses with -1.25D. The new glasses were made with a pupillary distance that is smaller than it should be by 6 mm due... | 1 |
46 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"An 19 year old girl got new glasses with-1.25D. The new glasses have smaller pupillary distance by 6mm by hman mistake, so each eye has 0.375D base out prismatic effect. Without anyones knowledge. What could happen in the upcoming years? Possibilities in percent plea... | 2 | {"walk":["I want a technical-but-readable explanation of the optics and binocular-vision implications of induced prism from incorrect pupillary distance. Use these exact details (do not add new facts): A 19-year-old girl has new glasses with -1.25D; the pupillary distance is smaller by 6 mm by human mistake; each eye t... | 2 |
46 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"An 19 year old girl got new glasses with-1.25D. The new glasses have smaller pupillary distance by 6mm by hman mistake, so each eye has 0.375D base out prismatic effect. Without anyones knowledge. What could happen in the upcoming years? Possibilities in percent plea... | 3 | {"walk":["I want you to answer questions about potential long-term effects of an unintentional base-out prism induced by incorrect pupillary distance in glasses. Scenario details: a 19-year-old girl got new glasses with -1.25D; PD is smaller by 6 mm by human mistake; each eye has about 0.375D base-out prismatic effect;... | 3 |
46 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"An 19 year old girl got new glasses with-1.25D. The new glasses have smaller pupillary distance by 6mm by hman mistake, so each eye has 0.375D base out prismatic effect. Without anyones knowledge. What could happen in the upcoming years? Possibilities in percent plea... | 4 | {"walk":["I want a compact background primer on prism adaptation and binocular vision that does NOT depend on my specific case yet. Please explain: what “prism diopters” mean in practice, what base-out prism does to vergence demand, what prism adaptation can look like over time, and the difference between symptoms (ast... | 4 |
46 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"An 19 year old girl got new glasses with-1.25D. The new glasses have smaller pupillary distance by 6mm by hman mistake, so each eye has 0.375D base out prismatic effect. Without anyones knowledge. What could happen in the upcoming years? Possibilities in percent plea... | 5 | {"walk":["I want an initial structured decomposition of the medical question I’m asking (do not answer yet). Scenario: a 19-year-old girl has new -1.25D glasses; PD is smaller by 6 mm by human mistake; each eye has ~0.375D base-out prismatic effect; nobody knows; she wears glasses whenever awake. Questions: what could ... | 5 |
46 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"An 19 year old girl got new glasses with-1.25D. The new glasses have smaller pupillary distance by 6mm by hman mistake, so each eye has 0.375D base out prismatic effect. Without anyones knowledge. What could happen in the upcoming years? Possibilities in percent plea... | 6 | {"walk":["I want you to answer a clinical/optics question about incorrect pupillary distance in glasses causing unintended prism. Scenario details (use all of them): an 19-year-old girl received new glasses with -1.25D; the pupillary distance is smaller by 6 mm due to human mistake; each eye has ~0.375D base-out prisma... | 6 |
47 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate the product \\[\\left(\\sqrt{5}+\\sqrt{6}+\\sqrt{7}\\right)\\left(\\sqrt{5}+\\s... | 1 | {"walk":["Solve this math problem step by step, and make the very last line exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: Evaluate the product (√5+√6+√7)(√5+√6−√7)(√5−√6+√7)(−√5+√6+√7).\n\nShow clear algebraic simplification and then end with the required final line format."... | 1 |
47 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate the product \\[\\left(\\sqrt{5}+\\sqrt{6}+\\sqrt{7}\\right)\\left(\\sqrt{5}+\\s... | 2 | {"walk":["Solve this problem step by step, but first produce a complete clean simplification to a single integer (or simplest radical form) without worrying about final response formatting yet.\n\nEvaluate: (√5+√6+√7)(√5+√6−√7)(√5−√6+√7)(−√5+√6+√7).\n\nOutput your full algebraic work and the computed final value at the... | 2 |
47 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate the product \\[\\left(\\sqrt{5}+\\sqrt{6}+\\sqrt{7}\\right)\\left(\\sqrt{5}+\\s... | 3 | {"walk":["I want a short algebra warm-up (not the full solution yet): list 3–4 safe identities or rewrite patterns that are especially useful for products of surd sums with sign flips (for example, how to pair factors to form differences of squares). Keep it general and do not apply to any specific numbers yet.","Now a... | 3 |
47 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate the product \\[\\left(\\sqrt{5}+\\sqrt{6}+\\sqrt{7}\\right)\\left(\\sqrt{5}+\\s... | 4 | {"walk":["Compute the value of this product step by step, showing all algebra:\n(√5+√6+√7)(√5+√6−√7)(√5−√6+√7)(−√5+√6+√7).\nFor this step, prioritize getting a result efficiently; don’t worry about rewriting the explanation elegantly yet.","Now critique your own derivation: identify the exact simplification steps where... | 4 |
47 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate the product \\[\\left(\\sqrt{5}+\\sqrt{6}+\\sqrt{7}\\right)\\left(\\sqrt{5}+\\s... | 5 | {"walk":["Start solving this problem step by step by doing a straightforward first simplification pass on the product, stopping once you have reduced it to a smaller expression (for example, a product of two simpler binomials or a sum/difference of squares). Do not fully finish the computation in this step unless it na... | 5 |
47 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate the product \\[\\left(\\sqrt{5}+\\sqrt{6}+\\sqrt{7}\\right)\\left(\\sqrt{5}+\\s... | 6 | {"walk":["I want an algebraic toolkit warm-up first. Output a short list of the most reliable tactics for evaluating products of several surd sums where only the signs change (focus on how to avoid full expansion). Keep it general; do not apply to any specific numbers yet.","Now define a compact symbolic notation for t... | 6 |
48 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 1 | {"walk":["You are an expert competitive programmer. Solve the following problem step by step (respecting time/memory limits), then provide a complete Python 3 implementation.\n\nProgram requirements: read input from standard input, write output to standard output; do not print debug output or anything extra.\nPut the f... | 1 |
48 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 2 | {"walk":["I want you to build an intuition for a process that alternates two updates using the same value a_x: first (x,y) += (a_x,a_x), then (x,y) += (-a_x, +a_x). Without seeing a full problem yet, analyze what happens to x and y over a complete two-step cycle, and what kind of state evolution this implies (e.g., doe... | 4 |
48 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 3 | {"walk":["I want you to derive and present a clean mathematical model for a two-variable iterative program that repeatedly applies a pair of updates involving reading a_x from an array indexed by x, with termination when x leaves [1,n]. Without seeing any specific instance yet, output:\n- how to model such programs as ... | 3 |
48 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 5 | {"walk":["You are an expert competitive programmer. Solve the following problem step by step (respect time 2.0s, memory 256MB) and provide a complete Python 3 implementation. Read stdin, write stdout, no debug prints or extra output. Put the final solution within a single code block.\n\n# Problem\nFarmer John has just ... | 5 |
48 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 6 | {"walk":["I want you to analyze a process that updates an index x by adding and subtracting the same positive quantity a_x in alternating steps, with termination when x leaves the range [1,n]. Without any specific input yet, output a conceptual model of how such a process behaves: what kinds of trajectories are possibl... | 6 |
49 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\\n\\nThe title of this story should be: Death's Shepherd\\n\\... | 1 | {"walk":["I want you to write a complete microfiction story using this writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\n\nHard requirements:\n- Title must be exactly: Death's Shepherd\n- Genres that m... | 1 |
49 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\\n\\nThe title of this story should be: Death's Shepherd\\n\\... | 2 | {"walk":["Before writing the story, I want you to generate a compact paranormal-fantasy “afterlife journey” palette suitable for a single 100-word scene. Output:\n1) three distinct candidate threats that could exist on the post-death journey (each 1 sentence),\n2) three distinct ways a scythe could function as protecti... | 2 |
49 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\\n\\nThe title of this story should be: Death's Shepherd\\n\\... | 3 | {"walk":["I want you to write a vivid scene nucleus for a paranormal fantasy microfiction, but not the final story yet. Using this premise: after death you learn the Grim Reaper’s scythe is for protection on your journey, output a tight “moment snapshot” consisting of:\n- setting in the afterlife (2 sentences)\n- the n... | 3 |
49 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\\n\\nThe title of this story should be: Death's Shepherd\\n\\... | 4 | {"walk":["Write a complete first draft of a one-scene paranormal fantasy microfiction based on this writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey. Do not worry about exact word count yet, but keep it... | 4 |
49 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\\n\\nThe title of this story should be: Death's Shepherd\\n\\... | 5 | {"walk":["Before any story-writing, define a microfiction constraint strategy for exactly 100 words in one scene. Output:\n- a short list of 5–7 tactics for packing plot + reveal into 100 words (each tactic 1 line)\n- a warning list of 3 common ways one-scene microfiction fails (each 1 line)\nDo not write the story yet... | 5 |
49 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: After you die you learn why the Grim Reaper is portrayed holding a Scythe. It isn't to harvest you, it's to protect you from something on your journey.\\n\\nThe title of this story should be: Death's Shepherd\\n\\... | 6 | {"walk":["Write a raw, high-momentum draft scene (no title yet) that embodies paranormal fantasy and the moment of dying leading into an afterlife journey. The scene must culminate in a clear implication that the Grim Reaper’s scythe is used for protection. Do not worry about exact length yet. Output only the draft sto... | 6 |
50 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\" If a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 1 | {"walk":["I want you to solve this math word problem step by step and give the final numeric answer clearly at the end:\n\nIf a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\n\nPlease show the algebra or arithmetic reasoning, then state the soccer ball cost... | 1 |
50 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\" If a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 2 | {"walk":["Solve this word problem step by step and compute the soccer ball price:\n\nIf a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\n\nFor this step, write the key equation(s) and compute an initial answer.","Now double-check the previous result by re-d... | 2 |
50 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\" If a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 3 | {"walk":["Solve this problem step by step:\n\nIf a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\n\nFor this step, translate the words into an equation relating the basketball price and soccer ball price, and compute the soccer ball price.","Now verify the ... | 3 |
50 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\" If a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 4 | {"walk":["Before solving, I want a tiny toolbox for this type of price-comparison problem. Output a short rule of thumb for sentences of the form “A is $X more than B”: how to translate them into an equation, and the most common mistake people make. Keep it to 2–4 lines.","Now solve the specific problem step by step us... | 4 |
50 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\" If a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 5 | {"walk":["Solve this problem step by step and compute the soccer ball cost:\n\nIf a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\n\nFor this step, produce a clean equation and an initial numeric answer.","Now give a quick sanity-check explanation in plain ... | 5 |
50 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\" If a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\"]"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 6 | {"walk":["Solve this problem step by step and compute the soccer ball price:\n\nIf a basketball costs $20, and the basketball is $10 more than a soccer ball, how much does the soccer ball cost?\n\nOutput the equation setup and the initial computed soccer ball price.","Now perform a consistency check by plugging your so... | 6 |
51 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEach person in Cambridge drinks a (possibly different) $12$ ounce mixture of water and a... | 1 | {"walk":["I want you to establish a compact notation system for tracking totals of two liquids across many people who each drink a fixed total volume, while allowing different splits per person. Define variables for: number of people, each person’s water and juice amounts, population totals, and the special person’s am... | 3 |
51 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEach person in Cambridge drinks a (possibly different) $12$ ounce mixture of water and a... | 2 | {"walk":["I want a quick conceptual warm-up on fraction-of-total constraints in two-component mixtures. Please list the most common hidden pitfalls (for example: assuming equal mixtures, forgetting positivity constraints, or missing integrality requirements), and state how to avoid them when solving for a population si... | 4 |
51 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEach person in Cambridge drinks a (possibly different) $12$ ounce mixture of water and a... | 5 | {"walk":["I want you to develop a general model for a population where each person consumes a fixed total amount of a two-ingredient mixture, with strictly positive amounts of each ingredient per person. Output a clear model with variables and constraints, keeping it fully general (no numbers yet).","Now specialize you... | 5 |
51 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEach person in Cambridge drinks a (possibly different) $12$ ounce mixture of water and a... | 6 | {"walk":["I want a compact set of number-theoretic tools for problems where one person’s consumption is a rational fraction of population totals of multiple components. Please output: (1) how to convert fraction-of-total statements into divisibility constraints, and (2) how positivity constraints can force a minimum po... | 6 |
52 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 1 | {"walk":["You are an expert competitive programmer. Solve this problem step by step (respecting the limits), then provide a complete Python 3 implementation.\n\nYour solution must read input from standard input (cin) and write output to standard output (cout). Do not include any debug prints or additional output.\n\nPu... | 1 |
52 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 2 | {"walk":["You are an expert competitive programmer. Solve this problem step by step (respecting the limits), then provide a complete Python 3 implementation.\n\nYour solution must read input from standard input (cin) and write output to standard output (cout). Do not include any debug prints or additional output.\n\nPu... | 2 |
52 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 3 | {"walk":["I want you to think about a two-player sequential game where on each turn the current controller chooses who receives the current item’s value, and then the controller role passes to the other player. Without solving any specific instance yet, derive a general dynamic programming formulation for optimal play ... | 3 |
52 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 4 | {"walk":["I want you to derive a clean game-theory perspective for a sequential turn-taking allocation process: a token indicates who decides allocation of the current item; the decider chooses which player gets the item and then passes the token to the other player. Without any specific numbers yet, express the decisi... | 4 |
52 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 5 | {"walk":["I want you to prepare a minimal set of notation for a sequential two-player optimal-allocation game where items arrive in a fixed order and a token indicates who chooses allocation each step. Define symbols for remaining index, token holder, and each player’s eventual total. Then state what “optimal play” mea... | 5 |
52 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"You are an expert competitive programmer. You will be given a problem statement, test case constraints and example test inputs and outputs. Please reason step by step about the solution (that must respect memory and time limits), then provide a complete implementation i... | 6 | {"walk":["You are an expert competitive programmer. I want you to first produce a direct solution attempt for the specific pie-decider game problem below, including step-by-step reasoning and a Python 3 implementation that reads stdin and writes stdout with no extra output, and prints \"AliceSum BobSum\". Do not worry ... | 6 |
53 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: An eldritch horror slumbers below the ground. Mortal miners carefully remove all the hatred and replace it with empathy and happiness before the horror awakes and kills us all.\\n\\nThe title of this story should ... | 1 | {"walk":["I want you to write the final story now, with no outlines or commentary. Use this exact writing prompt as the basis of the scene: \"An eldritch horror slumbers below the ground. Mortal miners carefully remove all the hatred and replace it with empathy and happiness before the horror awakes and kills us all.\"... | 1 |
53 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: An eldritch horror slumbers below the ground. Mortal miners carefully remove all the hatred and replace it with empathy and happiness before the horror awakes and kills us all.\\n\\nThe title of this story should ... | 2 | {"walk":["I want you to generate a compact “tone-and-constraint calibration” for this story before writing it. Output (1) a one-sentence target tone statement that explicitly balances Comedy + Horror + Fantasy in one scene, and (2) a word-budget plan that accounts for the required elements (miners, underground eldritch... | 2 |
53 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: An eldritch horror slumbers below the ground. Mortal miners carefully remove all the hatred and replace it with empathy and happiness before the horror awakes and kills us all.\\n\\nThe title of this story should ... | 3 | {"walk":["Write a fast first draft of the story immediately based on this writing prompt: \"An eldritch horror slumbers below the ground. Mortal miners carefully remove all the hatred and replace it with empathy and happiness before the horror awakes and kills us all.\" Use the title exactly: Pun-Pocalypse: Laughter at... | 3 |
53 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: An eldritch horror slumbers below the ground. Mortal miners carefully remove all the hatred and replace it with empathy and happiness before the horror awakes and kills us all.\\n\\nThe title of this story should ... | 4 | {"walk":["Before writing the story, I want a “scene payload manifest” that lists exactly what must appear on the page to satisfy the premise and genres within 100 words. Output a checklist with: required characters/roles, required setting details, required action (hatred removal → empathy replacement), required horror ... | 4 |
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