id float64 1 1.85k ⌀ | prompt stringclasses 471
values | plan_id float64 0 10 ⌀ | plan stringlengths 16 5.84k | step_count float64 1 11 ⌀ |
|---|---|---|---|---|
18 | 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: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this i... | 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.\n\nQuestion: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclu... | 1 |
18 | 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: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this i... | 2 | {"walk":["Answer the following multiple-choice question, but for this step only: decide which option is correct and write ONLY the chosen option text exactly as written (not the letter). Do not include any explanation.\n\nQuestion: Mixing baking soda and vinegar makes the temperature of the solution decrease and releas... | 2 |
18 | 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: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this i... | 3 | {"walk":["Write a tiny refresher on what can and cannot be concluded from evidence in a simple chemistry investigation: temperature decreases and a gas (carbon dioxide) is released when two substances are mixed. In 3–6 short sentences, state what such evidence supports (endothermic change, reaction, gas formation) and ... | 3 |
18 | 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: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this i... | 4 | {"walk":["Answer the following multiple-choice question, but for this step output ONLY the choice letter you think is correct (A, B, C, or D). Do not explain.\n\nQuestion: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this investigation ... | 4 |
18 | 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: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this i... | 5 | {"walk":["Answer the following multiple-choice question. Output ONLY the letter (A, B, C, or D). No explanation.\n\nQuestion: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this investigation is not valid?\n\nChoices:\nA. Mixing the chemi... | 5 |
18 | 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: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this i... | 6 | {"walk":["Answer the following multiple-choice question, outputting ONLY the single correct letter (A, B, C, or D). No explanation.\n\nQuestion: Mixing baking soda and vinegar makes the temperature of the solution decrease and release carbon dioxide. Which conclusion about this investigation is not valid?\n\nChoices:\n... | 6 |
19 | 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$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n... | 1 | {"walk":["Solve this math problem step by step, and make the very last line of your response exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: Evaluate\n$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n}{k}\\right]-2\\left[\\frac{n}{k}\\right]-\\ln... | 1 |
19 | 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$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n... | 2 | {"walk":["I want you to compute the following limit problem step by step and end with the last line exactly: Answer: <Answer>.\n\nEvaluate\n$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n}{k}\\right]-2\\left[\\frac{n}{k}\\right]-\\ln4\\right),$$\nwhere $[x]$ is the floor function ($[x]\... | 2 |
19 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n... | 3 | {"walk":["(Preparation) I want a short toolbox for handling limits of averages of floor-sums of the form \\(\\frac{1}{n}\\sum_{k=1}^n f(\\lfloor cn/k\\rfloor, \\lfloor n/k\\rfloor)\\). Please output: (1) a clear method for replacing floor terms by main terms plus a controllable error, (2) a way to convert sums over k i... | 3 |
19 | 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$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n... | 4 | {"walk":["(Preparation) I want you to derive a clean identity for the expression \\(\\lfloor 2x\\rfloor - 2\\lfloor x\\rfloor\\) in terms of the fractional part \\(\\{x\\}\\). Output the identity and explain briefly why it holds for all real x. Then explain how this identity suggests rewriting the sum in the problem be... | 4 |
19 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Solve the following math problem step by step. The last line of your response should be of the form Answer: $Answer (without quotes) where $Answer is the answer to the problem.\\n\\nEvaluate$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n... | 5 | {"walk":["(Work) Start by rewriting the target expression to isolate the core arithmetic structure. Specifically, for the summand \\(\\left[\\frac{2n}{k}\\right]-2\\left[\\frac{n}{k}\\right]-\\ln4\\), derive a simpler equivalent form (for fixed n,k) using floor properties (e.g., express the difference \\(\\lfloor 2x\\r... | 5 |
19 | 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$$\\lim_{n\\rightarrow\\infty}\\frac{1}{n}\\sum_{k=1}^{n}\\left(\\left[\\frac{2n... | 6 | {"walk":["(Work) Begin by analyzing the discrete difference in the summand: for real x, study \\(\\lfloor 2x\\rfloor-2\\lfloor x\\rfloor\\). Derive a complete case split and a compact closed form (for example using the fractional part \\(\\{x\\}\\)). Output the final identity and a brief justification.","(Preparation) ... | 6 |
20 | 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 and memory 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 add... | 1 |
20 | 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 a solution approach write-up (no code yet) for the following constructive portals problem. You must respect execution time limit 2.0 seconds and memory limit 256.0 MB.\n\nFull problem statement and requirements (do not omit):\nIn an n×n grid, rows 1..n top to bottom and columns 1..n left to right; cell... | 2 |
20 | 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":["Please create a compact “construction toolbox” for grid-walk problems with portals where direction is preserved through teleportation. Output: (1) a small set of useful invariants/interpretations (e.g., mapping boundary entrances to boundary exits; viewing doors as wiring), and (2) a checklist of typical impo... | 3 |
20 | 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 a known modeling approach for “direction-preserving teleport portals on a grid” as a boundary-to-boundary wiring problem. Output: a clear conceptual model that maps each boundary entrance to a boundary exit, and explain how a portal between two cells affects that mapping. Ke... | 4 |
20 | 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 general-purpose way to think about this kind of portal movement. Describe (with no specific inputs yet) how to model a deterministic movement process on a grid with direction-preserving teleport pairs as a directed graph on “states” (cell, direction), and how boundary entrances/exits can be represent... | 5 |
20 | 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":["Now solve this specific competitive programming problem. You must respect execution time limit 2.0 seconds and memory limit 256.0 MB. Provide step-by-step reasoning and then a full Python 3 implementation in exactly one code block. The program must read stdin and write stdout, with no debug prints or extra ou... | 6 |
21 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You live in an ancient world, when someone turns 18, they will receive a gift either magic or weapon. The gift will be of use for them whenever in need. On your 18th birthday, Death knocks on your door and give yo... | 1 | {"walk":["I want you to write the complete final story now. Use this writing prompt as the premise: You live in an ancient world where, when someone turns 18, they receive a gift—either magic or a weapon—that will be of use whenever they are in need. On my 18th birthday, Death knocks on my door and gives me his scythe.... | 1 |
21 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You live in an ancient world, when someone turns 18, they will receive a gift either magic or weapon. The gift will be of use for them whenever in need. On your 18th birthday, Death knocks on your door and give yo... | 2 | {"walk":["I want you to design the story’s supernatural mechanics before writing prose. Output a \"Gift Law\" document for an ancient world where, when someone turns 18, they receive a gift—either magic or a weapon—that will be of use whenever they are in need. Define: how gifts are chosen, what “in need” means in-univ... | 2 |
21 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You live in an ancient world, when someone turns 18, they will receive a gift either magic or weapon. The gift will be of use for them whenever in need. On your 18th birthday, Death knocks on your door and give yo... | 3 | {"walk":["I want you to generate an atmosphere palette for a Fantasy + Horror story set in an ancient world. Output: (1) 8–12 concrete sensory motifs (sounds, smells, textures, colors), (2) 6 taboo images appropriate for horror in a mythic setting (keep them tasteful, not gratuitous), and (3) 4 recurring symbols that c... | 3 |
21 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You live in an ancient world, when someone turns 18, they will receive a gift either magic or weapon. The gift will be of use for them whenever in need. On your 18th birthday, Death knocks on your door and give yo... | 4 | {"walk":["I want you to create a compact mythic-cosmology primer for an ancient fantasy world where coming-of-age gifts are real. Output: the culture’s belief about Fate, Death, and “gifts,” including a short description of the ritual of turning 18 and how communities interpret different gifts (magic vs weapon). Do not... | 4 |
21 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You live in an ancient world, when someone turns 18, they will receive a gift either magic or weapon. The gift will be of use for them whenever in need. On your 18th birthday, Death knocks on your door and give yo... | 5 | {"walk":["Write a first-pass draft of Chapter 1 only, based on this premise: You live in an ancient world where, when someone turns 18, they receive a gift—either magic or a weapon—that will be of use whenever they are in need. On my 18th birthday, Death knocks on my door and gives me his scythe. Requirements for this ... | 5 |
21 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: You live in an ancient world, when someone turns 18, they will receive a gift either magic or weapon. The gift will be of use for them whenever in need. On your 18th birthday, Death knocks on your door and give yo... | 6 | {"walk":["Write a full rough draft of the entire story in two chapters (Chapter 1 and Chapter 2) based on this premise: You live in an ancient world where, when someone turns 18, they receive a gift—either magic or a weapon—that will be of use whenever they are in need. On my 18th birthday, Death knocks on my door and ... | 6 |
22 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"You are now roleplaying as a network engineer, and you have 2 c7200 router available and 1 ethernet cable and 2 computer, how can you make the 2 computer communicate. Remember, I have only **one** ethernet cable and cannot afford more than 1\\n\"]"
Generate {"walk":... | 1 | {"walk":["I am roleplaying as a network engineer. I have exactly: 2 Cisco c7200 routers, 2 computers, and only ONE Ethernet cable (I cannot use or assume any additional Ethernet cables, adapters, switches, hubs, crossovers, Wi‑Fi, serial cables, console cables, or any other hardware). I want to make the two computers c... | 1 |
22 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"You are now roleplaying as a network engineer, and you have 2 c7200 router available and 1 ethernet cable and 2 computer, how can you make the 2 computer communicate. Remember, I have only **one** ethernet cable and cannot afford more than 1\\n\"]"
Generate {"walk":... | 2 | {"walk":["I am roleplaying as a network engineer. Inventory is fixed: 2 Cisco c7200 routers, 2 computers, and exactly ONE Ethernet cable (I cannot assume any other cable or device). Goal: make the two computers communicate.\n\nStep task: Propose your best possible topology and configuration attempt using ONLY that inve... | 2 |
22 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"You are now roleplaying as a network engineer, and you have 2 c7200 router available and 1 ethernet cable and 2 computer, how can you make the 2 computer communicate. Remember, I have only **one** ethernet cable and cannot afford more than 1\\n\"]"
Generate {"walk":... | 3 | {"walk":["I am roleplaying as a network engineer. I have exactly 2 Cisco c7200 routers, 2 computers, and only ONE Ethernet cable (no other cables or devices). I want to make the two computers communicate.\n\nFirst, enumerate all physically distinct connection possibilities using exactly one Ethernet cable among four de... | 3 |
22 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"You are now roleplaying as a network engineer, and you have 2 c7200 router available and 1 ethernet cable and 2 computer, how can you make the 2 computer communicate. Remember, I have only **one** ethernet cable and cannot afford more than 1\\n\"]"
Generate {"walk":... | 4 | {"walk":["I have exactly 2 Cisco c7200 routers, 2 computers, and only ONE Ethernet cable. Before proposing any wiring, write a short primer that lists the minimum physical requirements for two computers to communicate over Ethernet/IP in the simplest case (what links must exist, what devices/cables are typically requir... | 4 |
22 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"You are now roleplaying as a network engineer, and you have 2 c7200 router available and 1 ethernet cable and 2 computer, how can you make the 2 computer communicate. Remember, I have only **one** ethernet cable and cannot afford more than 1\\n\"]"
Generate {"walk":... | 5 | {"walk":["I have exactly 2 Cisco c7200 routers, 2 computers, and only ONE Ethernet cable (cannot afford more than 1). Before solving, list the relevant interfaces a typical c7200 might have for connectivity (conceptually: Ethernet ports, possible other WAN/management options) and explain which of those would still requ... | 5 |
22 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"[\"You are now roleplaying as a network engineer, and you have 2 c7200 router available and 1 ethernet cable and 2 computer, how can you make the 2 computer communicate. Remember, I have only **one** ethernet cable and cannot afford more than 1\\n\"]"
Generate {"walk":... | 6 | {"walk":["I am roleplaying as a network engineer. I have exactly 2 Cisco c7200 routers, 2 computers, and only ONE Ethernet cable (no other cables/devices). Goal: make the two computers communicate.\n\nFirst, propose a straightforward topology and configuration that a non-expert might try, using only this inventory. Be ... | 6 |
23 | 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\\nA cubic block with dimensions $n$ by $n$ by $n$ is made up of a collection of $1$ by $1$... | 1 | {"walk":["Solve this math problem step by step, and make the very last line of your response exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: A cubic block with dimensions n by n by n is made up of 1 by 1 by 1 unit cubes. What is the smallest value of n so that if the outer two... | 1 |
23 | 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\\nA cubic block with dimensions $n$ by $n$ by $n$ is made up of a collection of $1$ by $1$... | 2 | {"walk":["I want a short conceptual clarification before we solve anything. Explain what “removing the outer two layers of unit cubes” means for an n×n×n cube built from 1×1×1 cubes, and describe what the remaining solid looks like (in terms of its dimensions) if n is large enough. Do not compute the final answer yet."... | 4 |
23 | 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\\nA cubic block with dimensions $n$ by $n$ by $n$ is made up of a collection of $1$ by $1$... | 3 | {"walk":["Solve this math problem step by step, but first compute the remaining-cubes expression carefully. Problem: A cubic block with dimensions n by n by n is made up of 1 by 1 by 1 unit cubes. If the outer two layers are removed from the block, determine (in terms of n) how many unit cubes remain. Do not solve for ... | 3 |
23 | 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\\nA cubic block with dimensions $n$ by $n$ by $n$ is made up of a collection of $1$ by $1$... | 5 | {"walk":["Before doing algebra, I want a quick “geometry-to-algebra translation.” Explain how removing k outer layers from an n×n×n cube changes the side length of the remaining cube, and apply it specifically to k=2. Keep it general and clear; do not solve the inequality yet.","Now solve the specific problem step by s... | 5 |
23 | 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\\nA cubic block with dimensions $n$ by $n$ by $n$ is made up of a collection of $1$ by $1$... | 6 | {"walk":["I want an intuition-building start. Describe (without heavy algebra) why removing outer layers from a cube leaves a smaller cube, and explain qualitatively why for large n the remaining proportion should approach 1. Do not reference a specific equation yet.","Now make the intuition precise: for an n×n×n cube ... | 6 |
24 | 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 limit 1.0 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 (cout). Do not inclu... | 1 |
24 | 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 a concrete construction of the mapping from passenger index to seat and from seat to exit position. Use these exact rules:\n- There are n rows on the left and n rows on the right; each row has 2 seats (window and non-window), so capacity is 4n.\n- m passengers (m ≤ 4n) enter, numbered 1..m.\n- Entry or... | 2 |
24 | 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 solve this bus seating permutation problem step by step and then write Python 3 code.\n\nProblem details you must use: There are n rows on the left and n rows on the right, each row has a window and a non-window seat, total capacity 4n. m passengers (m ≤ 4n) enter, numbered 1..m by entry order.\... | 3 |
24 | 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 a short set of general principles for generating permutations from “fill order” and “drain order” descriptions without getting lost in casework. Output a concise method (like representing seats as indexed slots and building two orderings: entry slots and exit slots, then mapping passenger IDs through t... | 4 |
24 | 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 this problem step by step and then code it in Python 3.\n\nProblem details: There are n rows on the left and n rows on the right of a bus. Each row has two seats (window and non-window), so total capacity is 4n. m passengers (m ≤ 4n) enter, numbered 1..m.\nEntry... | 5 |
24 | 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 an implementation-oriented approach for this exact bus seating problem.\n\nFull problem details: There are n rows on the left and n rows on the right. Each row has two seats (window and non-window), so total capacity is 4n. m passengers (m ≤ 4n) enter, numbered... | 6 |
25 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. T... | 1 | {"walk":["I want you to write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. The four horsemen finally arrive..... | 1 |
25 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. T... | 2 | {"walk":["I want you to write a complete draft story using this exact writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. The four horsemen fina... | 2 |
25 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. T... | 3 | {"walk":["I want you to create an in-universe “apocalypse mechanics + tone compass” to guide a story that mixes Comedy, Fantasy, and Horror. Output two sections:\n(1) Rules of the world: what the horsemen are, what \"ignorance\" means as a horseman power, what counts as supernatural vs mundane, and what the stakes are ... | 3 |
25 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. T... | 4 | {"walk":["Write a complete story draft using this writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. The four horsemen finally arrive...\n\nThe... | 4 |
25 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. T... | 5 | {"walk":["Write a fast, high-level story draft in three chapters for this exact writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. The four hor... | 5 |
25 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: Mr. Bean is the lesser known fifth horseman of the apocalypse, ignorance. Unintentionally Mr. Bean arrives too early for the apocalypse and is stuck living an ordinary human life leaving destruction in his wake. T... | 6 | {"walk":["I want you to generate a reusable “genre-interlock recipe” for combining Comedy, Fantasy, and Horror in a single narrative without tonal whiplash. Output:\n- 5 concrete levers for comedy that can coexist with dread,\n- 5 concrete levers for fantasy that heighten both wonder and fear,\n- 5 concrete levers for ... | 6 |
26 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Hi"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 0 | {"walk": ["Hi"]} | 1 |
27 | 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\\nHow many real triples $(a,b,c)$ are there such that the polynomial $p(x)=x^4+ax^3+bx^2+a... | 1 | {"walk":["Solve this math problem step by step, and make the very last line of your response exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: How many real triples (a,b,c) are there such that the polynomial p(x)=x^4+ax^3+bx^2+ax+c has exactly three distinct roots, and these roo... | 1 |
27 | 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\\nHow many real triples $(a,b,c)$ are there such that the polynomial $p(x)=x^4+ax^3+bx^2+a... | 2 | {"walk":["I want you to prepare the key trigonometric and algebraic tools needed to solve a problem about roots equal to tan(y), tan(2y), tan(3y). Output a concise toolbox consisting of: (1) the tangent addition/double-angle/triple-angle identities in a form suitable for eliminating y, (2) any algebraic relations among... | 2 |
27 | 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\\nHow many real triples $(a,b,c)$ are there such that the polynomial $p(x)=x^4+ax^3+bx^2+a... | 3 | {"walk":["I want you to analyze the structural constraint imposed by the polynomial form p(x)=x^4+ax^3+bx^2+ax+c. Output a step-by-step description of what this symmetry implies about the multiset of roots (e.g., relationships among roots, reciprocal/palindromic-like behavior if any, constraints from Vieta’s formulas).... | 3 |
27 | 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\\nHow many real triples $(a,b,c)$ are there such that the polynomial $p(x)=x^4+ax^3+bx^2+a... | 4 | {"walk":["I want you to begin by solving the core mathematical puzzle: characterize all real y for which the three values tan(y), tan(2y), tan(3y) produce exactly three distinct real numbers (with all tangents defined), and identify any special y that make two of these equal or undefined. Output the full case split and... | 4 |
27 | 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\\nHow many real triples $(a,b,c)$ are there such that the polynomial $p(x)=x^4+ax^3+bx^2+a... | 5 | {"walk":["I want a compact reference sheet for tangent-angle multiplication that will be used later. Please output explicit formulas for tan(2y) and tan(3y) in terms of t=tan(y), and also give the inverse direction: any polynomial equation that must be satisfied by t if tan(3y) is expressed rationally in t. Include dom... | 5 |
27 | 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\\nHow many real triples $(a,b,c)$ are there such that the polynomial $p(x)=x^4+ax^3+bx^2+a... | 6 | {"walk":["I want you to start by rewriting the problem in your own words in a precise mathematical form, including what is being counted. Problem: count real triples (a,b,c) such that p(x)=x^4+ax^3+bx^2+ax+c has exactly three distinct roots, and these three distinct roots are tan(y), tan(2y), tan(3y) for some real y. A... | 6 |
28 | 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 limit 2.0 seconds and memory limit 256.0 MB), 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 inclu... | 1 |
28 | 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 derive the solution approach step by step (no final code yet).\n\nProblem: Given an array a of n elements, you may do at most n operations. Each operation chooses indices x,y,z (1 ≤ x < y < z ≤ n) and sets a_x := a_y - a_z, with the restriction that afte... | 2 |
28 | 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":["You are an expert competitive programmer. I want you to focus only on understanding the operation and its invariants (no full solution yet).\n\nOperation (repeat at most n times): choose x,y,z with 1 ≤ x < y < z ≤ n, set a_x := a_y - a_z, and after operation require |a_x| < 10^18.\nGoal: make the array non-de... | 3 |
28 | 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. First, derive an algorithmic solution (no code yet) for this full problem.\n\nProblem: Given an array a of n elements, you may perform at most n operations. Each operation chooses indices x,y,z with 1 ≤ x < y < z ≤ n and sets a_x := a_y - a_z, with the restriction |a_... | 4 |
28 | 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. I want a full algorithm derivation (no code yet).\n\nProblem: Given array a of n, you can do at most n operations. Each operation selects indices x,y,z with 1 ≤ x < y < z ≤ n and sets a_x := a_y - a_z, requiring |a_x| < 10^18 afterward. Goal: make array non-decreasing... | 5 |
28 | 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. Step 1: restate the problem in your own precise words and extract all constraints into a compact list (no solution yet).\n\nProblem: array a of n; at most n operations; operation chooses x,y,z (1 ≤ x < y < z ≤ n) and sets a_x := a_y - a_z with |a_x| < 10^18 after the ... | 6 |
29 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired... | 1 | {"walk":["I want you to write a story using the following writing prompt exactly as the premise: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired of runnin... | 1 |
29 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired... | 2 | {"walk":["I want you to write Chapter 1 of a story based on this premise (do not write Chapters 2–3 yet): It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired ... | 2 |
29 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired... | 3 | {"walk":["I want you to write Chapter 1 of a story based on this premise: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired of running. The thing is, in the... | 3 |
29 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired... | 4 | {"walk":["I want a small “mood bible” for a story that blends Fantasy and Horror. Output a concise set of: (1) 6–10 sensory motifs (sounds, textures, recurring images), (2) 4 taboo rules of the world that feel magical and ominous, and (3) 3 types of fear to emphasize (existential, bodily, cosmic, etc.). Do not write th... | 4 |
29 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired... | 5 | {"walk":["I want you to write ONLY a cold open scene fragment (not part of the final story yet) in 250–400 words that captures Fantasy + Horror tone centered on the concept of an unseen, intelligent pursuer with a fatal touch. Keep it in first person and make the dread feel mythic rather than purely scientific. Do not ... | 5 |
29 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: It's been 125 years since you were given $1 million and immortality in exchange for being hunted down by a super-intelligent snail with a fatal touch. Everyone you knew at the time have since passed. You are tired... | 6 | {"walk":["I want a one-page “world myth” (not story prose yet) that explains why an intelligent snail could be a supernatural hunter and why its touch is fatal, in a way that feels like folklore or a cursed bargain rather than modern sci‑fi. Output the myth as a short in-universe legend told by someone else. Do not men... | 6 |
30 | 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: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are ... | 1 | {"walk":["Answer the following multiple-choice question.\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.). Do any reasoning silently and do not output any explanation.\n\nQuestion: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes th... | 1 |
30 | 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: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are ... | 2 | {"walk":["Answer the following multiple-choice question.\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\n\nQuestion: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are receiving an unequal supply of water. Anoth... | 2 |
30 | 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: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are ... | 3 | {"walk":["Write a short set of general biology reasoning reminders for questions about why two identical plants might behave differently. Focus on environmental variables that can vary over small distances (meters) and how that can affect flowering. Keep it to 4–7 bullet points. Do NOT mention any specific question yet... | 3 |
30 | 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: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are ... | 4 | {"walk":["Answer the following multiple-choice question.\nRespond with ONLY the letter of the correct answer (A, B, C, D, etc.).\n\nQuestion: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are receiving an unequal supply of water. Anoth... | 4 |
30 | 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: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are ... | 5 | {"walk":["Write a short, high-signal primer on the main environmental cues that control flowering in plants (photoperiod/light intensity, temperature, water stress, nutrients, etc.). Keep it to 6–10 bullets. Do NOT mention any specific question yet and do NOT output any multiple-choice letter.","Write a short note (4–6... | 5 |
30 | 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: Two identical plants are planted 3 meters apart. One plant is flowering, but the other is not. A student concludes that the plants are ... | 6 | {"walk":["I want a short list of common alternative explanations in experiments where two \"identical\" biological specimens show different outcomes. Focus on environmental confounders and measurement/observer assumptions. Output 6–10 bullets. Do NOT mention any specific question yet and do NOT output any multiple-choi... | 6 |
31 | 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\\nTwo real numbers are selected independently and at random from the interval \\([-20,10]\... | 1 | {"walk":["Solve this math problem step by step, and make the last line of your response exactly: Answer: <Answer> (with the answer on its own line after \"Answer:\").\n\nProblem: Two real numbers are selected independently and at random from the interval [-20, 10]. Find the probability that the product of those numbers... | 1 |
31 | 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\\nTwo real numbers are selected independently and at random from the interval \\([-20,10]\... | 2 | {"walk":["I want a general, reusable method (no numbers yet) for computing the probability that the product of two independent uniform real selections from an interval [L, R] is greater than 0. Output a concise method that handles cases where the interval spans 0, is entirely positive, or entirely negative, and make it... | 2 |
31 | 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\\nTwo real numbers are selected independently and at random from the interval \\([-20,10]\... | 3 | {"walk":["Solve the following problem step by step: Two real numbers are selected independently and uniformly at random from the interval [-20, 10]. Find the probability that their product is greater than 0. Express the probability as a simplified fraction k/m, then compute k+m. The last line of your response must be e... | 3 |
31 | 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\\nTwo real numbers are selected independently and at random from the interval \\([-20,10]\... | 4 | {"walk":["Solve this problem step by step: Two real numbers are selected independently and uniformly at random from [-20, 10]. Find the probability that the product is greater than 0. Express the probability as a simplified fraction k/m, then compute k+m. The last line of your response must be exactly: Answer: <k+m> (o... | 4 |
31 | 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\\nTwo real numbers are selected independently and at random from the interval \\([-20,10]\... | 5 | {"walk":["I want a short conceptual mini-lesson (no specific numbers yet) on when a product of two real numbers is greater than zero, less than zero, or equal to zero. Explain it using sign cases (positive/negative/zero) and indicate how this translates to probability when selecting numbers from an interval. Keep it co... | 5 |
31 | 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\\nTwo real numbers are selected independently and at random from the interval \\([-20,10]\... | 6 | {"walk":["Solve this problem step by step: Two real numbers are selected independently and uniformly at random from the interval [-20, 10]. Find the probability that their product is greater than 0. Express the probability as a simplified fraction k/m, then compute k+m. The last line of your response must be exactly: A... | 6 |
32 | 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 (respect the limits), then provide a complete Python 3 implementation.\n\nYour solution must read input from standard input (cin), write output to standard output (cout). Do not include any debug prints or additional output.\n\... | 1 |
32 | 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 solve a geometry-permutation problem and then implement it. First, produce the full solution reasoning only (no code yet), including the key geometric reformulation of “angle at B is strictly less than 90 degrees” for consecutive points A,B,C, and the hi... | 2 |
32 | 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":["You are an expert competitive programmer. I want you to derive the core geometric condition for a “nice beatmap” ordering.\n\nProblem context (must be used exactly later): We have n distinct points A1..An in the plane. We need a permutation p1..pn such that for every three consecutive points A_{p_{j-1}}, A_{p... | 3 |
32 | 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 general competitive-programming guidance for constructing an ordering of planar points under a local angle constraint. Without seeing any specific input yet, produce a short toolbox of geometric invariants and ordering heuristics that often help when the constraint is local on triples (for example, thi... | 4 |
32 | 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. First, I want you to restate the task in your own words and identify the exact local condition that must hold for every triple of consecutive points in the permutation. Then express that condition purely algebraically (dot products) and state the strictness requiremen... | 5 |
32 | 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 a short, practical checklist of the most common geometric failure modes when writing contest solutions for ordering points (especially with strict inequalities like “angle < 90°”). Include: integer overflow traps, collinearity edge cases, strict vs non-strict comparisons, sorting stability/tie-breaking... | 6 |
33 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\\n\\nThe title of this story should be: Shadows of the Emerald Eye\\n\\nIt should feature the following genr... | 1 | {"walk":["I want you to write a story using this writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\n\nRequirements:\n- Title must be exactly: Shadows of the Emerald Eye\n- Genres: Fantasy, Adventure\n- Length/structure: exactly two lengthy chapters,... | 1 |
33 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\\n\\nThe title of this story should be: Shadows of the Emerald Eye\\n\\nIt should feature the following genr... | 2 | {"walk":["I want you to draft the full story first (it does NOT need to be exactly 1000 words per chapter yet). Use this writing prompt as the premise: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\n\nStory requirements to follow: Title must be exactly Shadows ... | 2 |
33 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\\n\\nThe title of this story should be: Shadows of the Emerald Eye\\n\\nIt should feature the following genr... | 3 | {"walk":["I want you to write Chapter 1 only as a full chapter (not an outline). Premise: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it. Title will be Shadows of the Emerald Eye. Genres: Fantasy, Adventure.\n\nFor this step, write Chapter 1 as a compelling openi... | 3 |
33 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\\n\\nThe title of this story should be: Shadows of the Emerald Eye\\n\\nIt should feature the following genr... | 4 | {"walk":["I want a set of fantasy-adventure craft constraints that will guide a two-chapter story. Output:\n- a short list of 6–10 principles for making a two-chapter adventure feel complete (setup, escalation, payoff) without feeling rushed,\n- and 4–6 techniques to make a single magical ability feel varied and dramat... | 4 |
33 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\\n\\nThe title of this story should be: Shadows of the Emerald Eye\\n\\nIt should feature the following genr... | 5 | {"walk":["I want you to write a full draft of the story in two chapters based on this premise: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\nTitle must be Shadows of the Emerald Eye. Genres: Fantasy, Adventure.\nFor this step, write the entire two-chapter draf... | 5 |
33 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Please write a story using the following writing prompt: The wizard in your party only knows one spell. It's effective, but even the assassin feels bad about it.\\n\\nThe title of this story should be: Shadows of the Emerald Eye\\n\\nIt should feature the following genr... | 6 | {"walk":["I want a set of reusable narrative building blocks for a two-chapter fantasy adventure without writing the story yet. Output:\n- 5–7 possible party dynamics tensions that can drive plot in a short arc,\n- and 5–7 ways a single repeated tactic can become emotionally darker over time.\nDo not mention any specif... | 6 |
34 | CONVERSATION_HISTORY:
[empty]
NEW_USER_MESSAGE:
"Hello—are you online?"
Generate {"walk":[...]} for NEW_USER_MESSAGE. | 0 | {"walk": ["Hello\u2014are you online?"]} | 1 |
35 | 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\\nSimplify the product \\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\fr... | 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: Simplify the product\n\\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\frac{4n+4}{4n} \\dotsm \\frac{2008}{2004}.\\]\n\nRemember to put y... | 1 |
35 | 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\\nSimplify the product \\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\fr... | 2 | {"walk":["Before solving anything, I want a short “telescoping products toolkit” for expressions that look like a chain of fractions where consecutive numerators/denominators overlap. Output: (1) how to rewrite a general term \\(\\frac{4k+4}{4k}\\) in simplest form, (2) the key cancellation pattern to look for across a... | 2 |
35 | 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\\nSimplify the product \\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\fr... | 3 | {"walk":["Solve the following product simplification step by step. Do not skip algebraic steps; keep the reasoning clear and organized.\n\nSimplify:\n\\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\frac{4n+4}{4n} \\dotsm \\frac{2008}{2004}.\\]\n\nDo not format the final \"Answer:\" line yet; just reach... | 3 |
35 | 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\\nSimplify the product \\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\fr... | 4 | {"walk":["I want you to define the indexing and endpoints of the product precisely. Given the displayed chain\n\\(\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12}\\dotsm\\frac{4n+4}{4n}\\dotsm\\frac{2008}{2004}\\),\noutput: (1) the general k-th factor in terms of k, (2) the starting k value that matches \\(\\frac{8}... | 4 |
35 | 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\\nSimplify the product \\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\fr... | 5 | {"walk":["I want a quick recognition guide (no full solve yet) for spotting telescoping in products where numerators and denominators are shifted versions of each other. Output a short guide that includes what to look for in the sequence of fractions, and what the final form usually reduces to (in symbolic terms, not t... | 5 |
35 | 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\\nSimplify the product \\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16}{12} \\dotsm \\fr... | 6 | {"walk":["Solve this problem step by step up to a first final simplified value (you may be brief but must show the key cancellation). Do not worry about perfect exposition yet, and do not output the final required \"Answer:\" line in this step.\n\nSimplify the product:\n\\[\\frac{8}{4}\\cdot\\frac{12}{8}\\cdot\\frac{16... | 6 |
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... | 1 | {"walk":["You are an expert competitive programmer. Solve the following problem step by step (the solution must respect the time and memory limits), then provide a complete implementation in Python 3.\n\nYour solution must read input from standard input (cin), write output to standard output (cout). Do not include any ... | 1 |
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... | 2 | {"walk":["You are an expert competitive programmer. I want you to derive the key algorithmic insight first, then we will implement.\n\nFull task context (keep for later steps): Given array a of n positive integers and integer c (possibly negative), we consider all permutations b of a and want to minimize sum_{i=1}^{n-1... | 2 |
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... | 3 | {"walk":["I want you to prepare a reusable toolkit for this class of problem before I give you the full statement. Output a compact set of reasoning tools for: (1) minimizing a sum of absolute values over permutations, (2) extracting a lexicographically smallest minimizer among many, and (3) handling large constraints ... | 3 |
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