Distill What You Trust: Reliability-Aware Multi-Teacher On-Policy Distillation
Paper • 2609.23697 • Published • 5
Datasets:
data_source stringclasses 6
values | prompt listlengths 2 2 | ability stringclasses 6
values | reward_model dict | domain stringclasses 6
values | extra_info dict |
|---|---|---|---|---|---|
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "{\"inputs\": [\"4 3\\n1 3\\n2 4\\n3 4\\n\", \"6 4\\n3 2\\n1 3\\n6 5\\n4 6\\n\", \"4 3\\n1 3\\n1 4\\n3 4\\n\", \"3 1\\n1 2\\n\", \"5 9\\n4 3\\n4 2\\n3 1\\n5 1\\n4 1\\n2 1\\n5 2\\n3 2\\n5 4\\n\", \"4 2\\n2 3\\n1 4\\n\", \"4 4\\n1 2\\n4 1\\n3 4\\n3 1\\n\", \"20 55\\n20 11\\n14 5\\n4 9\\n17 5\\n16 5\\n... | code_if | {
"constraint_desc": [
"At the end of your response, please explicitly add a postscript starting with P.S.",
"There should be 2 paragraphs. Paragraphs are separated with the markdown divider: ***"
],
"domain": "code_if",
"family": "",
"fusion": "constraint_block",
"index": "code_if-963",
"instruct... |
multicap_math_if | [
{
"content": "You are an expert mathematical problem solver. Solve the problem carefully. You must first show all your step-by-step reasoning and derivations inside <think> and </think> tags. After your thought process, provide the final answer clearly and make it easy to verify.",
"role": "system"
},
{... | math_multicap_math_if | {
"ground_truth": "91",
"style": "rule"
} | math_if | {
"constraint_desc": [
"Include keyword leader once in your response, keyword office twice in your response.",
"Repeat the phrase The early bird catches the worm exactly 2 times, transforming it slightly each time by replacing only one word in the center of the phrase."
],
"domain": "math_if",
"family":... |
nemotron_if_rl | [
{
"content": "You are an expert general-purpose assistant. Follow every user instruction exactly, especially formatting, wording, ordering, and length constraints. You must always begin your response with exactly <think>\n</think> (a single newline inside the tags), and then immediately provide your answer.",
... | instruction_following | {
"ground_truth": "",
"style": "rule"
} | if | {
"constraint_desc": [],
"domain": "if",
"family": "count_or_pattern",
"fusion": "none",
"index": "if-311",
"instruction_id_list": [
"keywords:word_count_different_numbers",
"first_word:first_word_sent"
],
"instruction_kwargs_json": [
"{\"frequency\": 3, \"keyword\": \"swimming\", \"relation... |
multicap_math_if | [
{
"content": "You are an expert mathematical problem solver. Solve the problem carefully. You must first show all your step-by-step reasoning and derivations inside <think> and </think> tags. After your thought process, provide the final answer clearly and make it easy to verify.",
"role": "system"
},
{... | math_multicap_math_if | {
"ground_truth": "67",
"style": "rule"
} | math_if | {
"constraint_desc": [
"The first word of your response should be the word strain.",
"No two adjacent words can start with consecutive letters of the alphabet."
],
"domain": "math_if",
"family": "",
"fusion": "constraint_block",
"index": "math_if-760",
"instruction_id_list": [
"first_word:firs... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"4 2 2 2\\n3\\n3 2\\n5 3\\n2 4\", \"output\": \"211.415926535897938\"}, {\"type\": \"stdin_stdout\", \"input\": \"1 1 6 5\\n3\\n3 2\\n5 3\\n2 4\", \"output\": \"891.415926535897938\"}, {\"type\": \"stdin_stdout\", \"input\": \"3 5 6 4\\n3\\n3 2\\n5 3\\n2 4\... | code_if | {
"constraint_desc": [
"Your answer must contain exactly 4 bullet points. Use the markdown bullet points such as:\n* This is point 1. \n* This is point 2",
"The response must contain at least 4 placeholders represented by square brackets, such as [address]."
],
"domain": "code_if",
"family": "",
"fusi... |
multicap_math_code | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_math_code | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"3\\n1 1\\n4 3 2\", \"output\": \"POSSIBLE\"}, {\"type\": \"stdin_stdout\", \"input\": \"8\\n1 1 1 3 4 5 5\\n4 1 6 2 2 1 3 3\", \"output\": \"POSSIBLE\"}, {\"type\": \"stdin_stdout\", \"input\": \"1\\n\\n0\", \"output\": \"POSSIBLE\"}, {\"type\": \"stdin_st... | math_code | {
"constraint_desc": [
"Alongside your implementation, derive the answer mathematically: state the closed-form expression or recurrence your algorithm is computing, justify it, and give its complexity. Put the final expression in \\boxed{}."
],
"domain": "math_code",
"family": "",
"fusion": "math_block",
... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"3 8 7 1\", \"output\": \"Left\"}, {\"type\": \"stdin_stdout\", \"input\": \"1 7 6 4\", \"output\": \"Right\"}, {\"type\": \"stdin_stdout\", \"input\": \"3 4 5 2\", \"output\": \"Balanced\"}, {\"type\": \"stdin_stdout\", \"input\": \"0 8 7 1\", \"output\": ... | code_if | {
"constraint_desc": [
"Do not include keywords ['degree', 'scene'] in the response.",
"Include keyword effect in your response.",
"At the end of your response, please explicitly add a postscript starting with P.S."
],
"domain": "code_if",
"family": "",
"fusion": "constraint_block",
"index": "co... |
nemotron_if_rl | [
{
"content": "You are an expert general-purpose assistant. Follow every user instruction exactly, especially formatting, wording, ordering, and length constraints. You must always begin your response with exactly <think>\n</think> (a single newline inside the tags), and then immediately provide your answer.",
... | instruction_following | {
"ground_truth": "",
"style": "rule"
} | if | {
"constraint_desc": [],
"domain": "if",
"family": "detectable_format",
"fusion": "none",
"index": "if-1003",
"instruction_id_list": [
"count:counting_composition",
"length_constraints:nth_paragraph_first_word"
],
"instruction_kwargs_json": [
"{\"n_sent\": 3, \"n_words\": 3}",
"{\"first_... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "{\"inputs\": [\"5\\n2\\n8\\n1\\n10\\n12\", \"5\\n2\\n8\\n1\\n10\\n13\", \"5\\n2\\n8\\n1\\n18\\n24\", \"5\\n3\\n8\\n0\\n18\\n24\", \"5\\n3\\n5\\n0\\n18\\n24\", \"5\\n3\\n5\\n0\\n17\\n4\", \"5\\n5\\n5\\n0\\n26\\n4\", \"5\\n2\\n8\\n1\\n0\\n9\", \"5\\n2\\n3\\n1\\n10\\n12\", \"5\\n4\\n8\\n1\\n18\\n13\",... | code_if | {
"constraint_desc": [
"Include keyword replacement in your response.",
"Your answer must contain exactly 3 bullet points. Use the markdown bullet points such as:\n* This is point 1. \n* This is point 2",
"There should be 4 paragraphs. Paragraphs and only paragraphs are separated with each other by two ne... |
multicap_math_if | [
{
"content": "You are an expert mathematical problem solver. Solve the problem carefully. You must first show all your step-by-step reasoning and derivations inside <think> and </think> tags. After your thought process, provide the final answer clearly and make it easy to verify.",
"role": "system"
},
{... | math_multicap_math_if | {
"ground_truth": "757",
"style": "rule"
} | math_if | {
"constraint_desc": [
"Your response must have 1 sections. Mark the beginning of each section with Section X, such as:\nSection 1\n[content of section 1]\nSection 2\n[content of section 2]",
"In your entire response, refrain from the use of any commas."
],
"domain": "math_if",
"family": "",
"fusion":... |
nemotron_if_rl | [
{
"content": "You are an expert general-purpose assistant. Follow every user instruction exactly, especially formatting, wording, ordering, and length constraints. You must always begin your response with exactly <think>\n</think> (a single newline inside the tags), and then immediately provide your answer.",
... | instruction_following | {
"ground_truth": "",
"style": "rule"
} | if | {
"constraint_desc": [],
"domain": "if",
"family": "keywords",
"fusion": "none",
"index": "if-758",
"instruction_id_list": [
"count:counting_composition",
"keywords:existence",
"keywords:word_count_different_numbers"
],
"instruction_kwargs_json": [
"{\"n_sent\": 3, \"n_words\": 2}",
... |
nemotron_if_rl | [
{
"content": "You are an expert general-purpose assistant. Follow every user instruction exactly, especially formatting, wording, ordering, and length constraints. You must always begin your response with exactly <think>\n</think> (a single newline inside the tags), and then immediately provide your answer.",
... | instruction_following | {
"ground_truth": "",
"style": "rule"
} | if | {
"constraint_desc": [],
"domain": "if",
"family": "keywords",
"fusion": "none",
"index": "if-503",
"instruction_id_list": [
"length_constraints:number_sentences",
"keywords:forbidden_words",
"change_case:capital_word_frequency"
],
"instruction_kwargs_json": [
"{\"num_sentences\": 13, \"... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"2 1\\n\", \"output\": \"0\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"4 1\\n\", \"output\": \"6\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"7 4\\n\", \"output\": \"328\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"1 0\\n\", \"output\": \"1\\n\... | code_if | {
"constraint_desc": [
"Repeat the phrase Live each day to the fullest exactly 3 times, transforming it slightly each time by replacing only one word in the center of the phrase.",
"Include keyword accident in your response.",
"There should be 2 paragraphs. Paragraphs and only paragraphs are separated wit... |
multicap_math_if | [
{
"content": "You are an expert mathematical problem solver. Solve the problem carefully. You must first show all your step-by-step reasoning and derivations inside <think> and </think> tags. After your thought process, provide the final answer clearly and make it easy to verify.",
"role": "system"
},
{... | math_multicap_math_if | {
"ground_truth": "4",
"style": "rule"
} | math_if | {
"constraint_desc": [
"There should be 1 paragraphs. Paragraphs are separated with the markdown divider: ***",
"In your response, the word brave should appear at least 1 times.",
"The last word of your response should be the word land."
],
"domain": "math_if",
"family": "",
"fusion": "constraint_... |
multicap_math_if | [
{
"content": "You are an expert mathematical problem solver. Solve the problem carefully. You must first show all your step-by-step reasoning and derivations inside <think> and </think> tags. After your thought process, provide the final answer clearly and make it easy to verify.",
"role": "system"
},
{... | math_multicap_math_if | {
"ground_truth": "591",
"style": "rule"
} | math_if | {
"constraint_desc": [
"Your response must have 1 sections. Mark the beginning of each section with SECTION X, such as:\nSECTION 1\n[content of section 1]\nSECTION 2\n[content of section 2]"
],
"domain": "math_if",
"family": "",
"fusion": "constraint_block",
"index": "math_if-1142",
"instruction_id_li... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"4\\n7 5 5 7\\n\", \"output\": \"5.666666666666667\\n5.666666666666667\\n5.666666666666667\\n7\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"5\\n7 8 8 10 12\\n\", \"output\": \"7\\n8\\n8\\n10\\n12\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"10\\n3 9... | code_if | {
"constraint_desc": [
"Highlight at least 2 sections in your answer with markdown, i.e. *highlighted section*.",
"Do not include keywords ['basket', 'bend'] in the response."
],
"domain": "code_if",
"family": "",
"fusion": "constraint_block",
"index": "code_if-940",
"instruction_id_list": [
"... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"5\\nAzaNA\", \"output\": \"1\\nA\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"5\\nAMazA\", \"output\": \"3\\nAAA\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"5\\nzAaNA\", \"output\": \"1\\nA\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"5\\nAzaA... | code_if | {
"constraint_desc": [
"There should be 4 paragraphs. Paragraphs and only paragraphs are separated with each other by two new lines as if it was '\\n\\n' in python. Paragraph 1 must start with word clue.",
"The response must contain at least 2 placeholders represented by square brackets, such as [address].",
... |
multicap_code_if | [
{
"content": "You are an expert programmer and competitive problem solver. Solve the task carefully. You must first outline your thought process, logic, and planning inside <think> and </think> tags, and then produce a correct final implementation outside of these tags.",
"role": "system"
},
{
"cont... | code_multicap_code_if | {
"ground_truth": "[{\"type\": \"stdin_stdout\", \"input\": \"uncopyrightable\\n\", \"output\": \"yes\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"different\\n\", \"output\": \"no\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"no\\n\", \"output\": \"yes\\n\"}, {\"type\": \"stdin_stdout\", \"input\": \"uncopyrig... | code_if | {
"constraint_desc": [
"Include keyword song in your response.",
"Include keywords ['fan', 'homework'] in the response."
],
"domain": "code_if",
"family": "",
"fusion": "constraint_block",
"index": "code_if-1840",
"instruction_id_list": [
"keywords:word_once",
"keywords:existence"
],
"... |
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