data_source
stringclasses 3
values | prompt
listlengths 2
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| reward_model
dict | extra_info
dict |
|---|---|---|---|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Elena Karahanna, Fred D. Davis, Robert W. Zmud, Manju K. Ahuja, Viswanath Venkatesh, Kwok Kee Wei, Mary Crossan, Massimo Magni, Likoebe M. Maruping, Susan A. Brown, Joseph S. Valacich, Gordon B. Davis, Jon (Sean) Jasperson, Jason Bennett Thatcher\n- Research collaborations between these authors: Elena Karahanna and Massimo Magni, Elena Karahanna and Likoebe M. Maruping, Elena Karahanna and Joseph S. Valacich, Elena Karahanna and Jason Bennett Thatcher, Elena Karahanna and Kwok Kee Wei, Elena Karahanna and Robert W. Zmud, Elena Karahanna and Viswanath Venkatesh, Elena Karahanna and Fred D. Davis, Elena Karahanna and Gordon B. Davis, Elena Karahanna and Susan A. Brown, Fred D. Davis and Massimo Magni, Fred D. Davis and Likoebe M. Maruping, Fred D. Davis and Joseph S. Valacich, Fred D. Davis and Jason Bennett Thatcher, Fred D. Davis and Kwok Kee Wei, Fred D. Davis and Robert W. Zmud, Fred D. Davis and Susan A. Brown, Fred D. Davis and Viswanath Venkatesh, Robert W. Zmud and Massimo Magni, Robert W. Zmud and Likoebe M. Maruping, Robert W. Zmud and Joseph S. Valacich, Robert W. Zmud and Jason Bennett Thatcher, Robert W. Zmud and Kwok Kee Wei, Robert W. Zmud and Viswanath Venkatesh, Robert W. Zmud and Susan A. Brown, Manju K. Ahuja and Massimo Magni, Manju K. Ahuja and Likoebe M. Maruping, Manju K. Ahuja and Jason Bennett Thatcher, Manju K. Ahuja and Viswanath Venkatesh, Viswanath Venkatesh and Massimo Magni, Viswanath Venkatesh and Likoebe M. Maruping, Viswanath Venkatesh and Joseph S. Valacich, Viswanath Venkatesh and Jason Bennett Thatcher, Viswanath Venkatesh and Kwok Kee Wei, Viswanath Venkatesh and Susan A. Brown, Viswanath Venkatesh and Gordon B. Davis, Viswanath Venkatesh and Jon (Sean) Jasperson, Kwok Kee Wei and Massimo Magni, Kwok Kee Wei and Likoebe M. Maruping, Kwok Kee Wei and Joseph S. Valacich, Kwok Kee Wei and Jason Bennett Thatcher, Kwok Kee Wei and Gordon B. Davis, Kwok Kee Wei and Susan A. Brown, Mary Crossan and Massimo Magni, Massimo Magni and Likoebe M. Maruping, Massimo Magni and Joseph S. Valacich, Massimo Magni and Jason Bennett Thatcher, Massimo Magni and Susan A. Brown, Massimo Magni and Gordon B. Davis, Massimo Magni and Jon (Sean) Jasperson, Likoebe M. Maruping and Joseph S. Valacich, Likoebe M. Maruping and Jason Bennett Thatcher, Likoebe M. Maruping and Susan A. Brown, Likoebe M. Maruping and Gordon B. Davis, Likoebe M. Maruping and Jon (Sean) Jasperson, Susan A. Brown and Joseph S. Valacich, Susan A. Brown and Jason Bennett Thatcher, Susan A. Brown and Gordon B. Davis, Susan A. Brown and Jon (Sean) Jasperson, Joseph S. Valacich and Gordon B. Davis, Joseph S. Valacich and Jason Bennett Thatcher, Gordon B. Davis and Jason Bennett Thatcher, Jon (Sean) Jasperson and Jason Bennett Thatcher.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 10,
"style": "rule"
}
|
{
"exact_answer": 10,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Elena Karahanna\", \"id\": 28485}, {\"name\": \"Manju K. Ahuja\", \"id\": 422982}, {\"name\": \"Fred D. Davis\", \"id\": 110438}, {\"name\": \"Robert W. Zmud\", \"id\": 66119}, {\"name\": \"Viswanath Venkatesh\", \"id\": 74763}, {\"name\": \"Kwok Kee Wei\", \"id\": 28623}, {\"name\": \"Mary Crossan\", \"id\": 1003569}, {\"name\": \"Massimo Magni\", \"id\": 13458}, {\"name\": \"Likoebe M. Maruping\", \"id\": 13459}, {\"name\": \"Susan A. Brown\", \"id\": 71957}, {\"name\": \"Joseph S. Valacich\", \"id\": 13878}, {\"name\": \"Gordon B. Davis\", \"id\": 238679}, {\"name\": \"Jon (Sean) Jasperson\", \"id\": 427129}, {\"name\": \"Jason Bennett Thatcher\", \"id\": 16026}], \"links\": [{\"source\": 28485, \"target\": 13458}, {\"source\": 28485, \"target\": 13459}, {\"source\": 28485, \"target\": 13878}, {\"source\": 28485, \"target\": 16026}, {\"source\": 28485, \"target\": 28623}, {\"source\": 28485, \"target\": 66119}, {\"source\": 28485, \"target\": 74763}, {\"source\": 28485, \"target\": 110438}, {\"source\": 28485, \"target\": 238679}, {\"source\": 28485, \"target\": 71957}, {\"source\": 422982, \"target\": 13458}, {\"source\": 422982, \"target\": 13459}, {\"source\": 422982, \"target\": 16026}, {\"source\": 422982, \"target\": 74763}, {\"source\": 110438, \"target\": 13458}, {\"source\": 110438, \"target\": 13459}, {\"source\": 110438, \"target\": 13878}, {\"source\": 110438, \"target\": 16026}, {\"source\": 110438, \"target\": 28623}, {\"source\": 110438, \"target\": 66119}, {\"source\": 110438, \"target\": 71957}, {\"source\": 110438, \"target\": 74763}, {\"source\": 66119, \"target\": 13458}, {\"source\": 66119, \"target\": 13459}, {\"source\": 66119, \"target\": 13878}, {\"source\": 66119, \"target\": 16026}, {\"source\": 66119, \"target\": 28623}, {\"source\": 66119, \"target\": 74763}, {\"source\": 66119, \"target\": 71957}, {\"source\": 74763, \"target\": 13458}, {\"source\": 74763, \"target\": 13459}, {\"source\": 74763, \"target\": 13878}, {\"source\": 74763, \"target\": 16026}, {\"source\": 74763, \"target\": 28623}, {\"source\": 74763, \"target\": 71957}, {\"source\": 74763, \"target\": 238679}, {\"source\": 74763, \"target\": 427129}, {\"source\": 28623, \"target\": 13458}, {\"source\": 28623, \"target\": 13459}, {\"source\": 28623, \"target\": 13878}, {\"source\": 28623, \"target\": 16026}, {\"source\": 28623, \"target\": 238679}, {\"source\": 28623, \"target\": 71957}, {\"source\": 1003569, \"target\": 13458}, {\"source\": 13458, \"target\": 13459}, {\"source\": 13458, \"target\": 13878}, {\"source\": 13458, \"target\": 16026}, {\"source\": 13458, \"target\": 71957}, {\"source\": 13458, \"target\": 238679}, {\"source\": 13458, \"target\": 427129}, {\"source\": 13459, \"target\": 13878}, {\"source\": 13459, \"target\": 16026}, {\"source\": 13459, \"target\": 71957}, {\"source\": 13459, \"target\": 238679}, {\"source\": 13459, \"target\": 427129}, {\"source\": 71957, \"target\": 13878}, {\"source\": 71957, \"target\": 16026}, {\"source\": 71957, \"target\": 238679}, {\"source\": 71957, \"target\": 427129}, {\"source\": 13878, \"target\": 238679}, {\"source\": 13878, \"target\": 16026}, {\"source\": 238679, \"target\": 16026}, {\"source\": 427129, \"target\": 16026}]}",
"id": 2403,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Elena Karahanna, Fred D. Davis, Robert W. Zmud, Manju K. Ahuja, Viswanath Venkatesh, Kwok Kee Wei, Mary Crossan, Massimo Magni, Likoebe M. Maruping, Susan A. Brown, Joseph S. Valacich, Gordon B. Davis, Jon (Sean) Jasperson, Jason Bennett Thatcher\n- Research collaborations between these authors: Elena Karahanna and Massimo Magni, Elena Karahanna and Likoebe M. Maruping, Elena Karahanna and Joseph S. Valacich, Elena Karahanna and Jason Bennett Thatcher, Elena Karahanna and Kwok Kee Wei, Elena Karahanna and Robert W. Zmud, Elena Karahanna and Viswanath Venkatesh, Elena Karahanna and Fred D. Davis, Elena Karahanna and Gordon B. Davis, Elena Karahanna and Susan A. Brown, Fred D. Davis and Massimo Magni, Fred D. Davis and Likoebe M. Maruping, Fred D. Davis and Joseph S. Valacich, Fred D. Davis and Jason Bennett Thatcher, Fred D. Davis and Kwok Kee Wei, Fred D. Davis and Robert W. Zmud, Fred D. Davis and Susan A. Brown, Fred D. Davis and Viswanath Venkatesh, Robert W. Zmud and Massimo Magni, Robert W. Zmud and Likoebe M. Maruping, Robert W. Zmud and Joseph S. Valacich, Robert W. Zmud and Jason Bennett Thatcher, Robert W. Zmud and Kwok Kee Wei, Robert W. Zmud and Viswanath Venkatesh, Robert W. Zmud and Susan A. Brown, Manju K. Ahuja and Massimo Magni, Manju K. Ahuja and Likoebe M. Maruping, Manju K. Ahuja and Jason Bennett Thatcher, Manju K. Ahuja and Viswanath Venkatesh, Viswanath Venkatesh and Massimo Magni, Viswanath Venkatesh and Likoebe M. Maruping, Viswanath Venkatesh and Joseph S. Valacich, Viswanath Venkatesh and Jason Bennett Thatcher, Viswanath Venkatesh and Kwok Kee Wei, Viswanath Venkatesh and Susan A. Brown, Viswanath Venkatesh and Gordon B. Davis, Viswanath Venkatesh and Jon (Sean) Jasperson, Kwok Kee Wei and Massimo Magni, Kwok Kee Wei and Likoebe M. Maruping, Kwok Kee Wei and Joseph S. Valacich, Kwok Kee Wei and Jason Bennett Thatcher, Kwok Kee Wei and Gordon B. Davis, Kwok Kee Wei and Susan A. Brown, Mary Crossan and Massimo Magni, Massimo Magni and Likoebe M. Maruping, Massimo Magni and Joseph S. Valacich, Massimo Magni and Jason Bennett Thatcher, Massimo Magni and Susan A. Brown, Massimo Magni and Gordon B. Davis, Massimo Magni and Jon (Sean) Jasperson, Likoebe M. Maruping and Joseph S. Valacich, Likoebe M. Maruping and Jason Bennett Thatcher, Likoebe M. Maruping and Susan A. Brown, Likoebe M. Maruping and Gordon B. Davis, Likoebe M. Maruping and Jon (Sean) Jasperson, Susan A. Brown and Joseph S. Valacich, Susan A. Brown and Jason Bennett Thatcher, Susan A. Brown and Gordon B. Davis, Susan A. Brown and Jon (Sean) Jasperson, Joseph S. Valacich and Gordon B. Davis, Joseph S. Valacich and Jason Bennett Thatcher, Gordon B. Davis and Jason Bennett Thatcher, Jon (Sean) Jasperson and Jason Bennett Thatcher.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jean-François Audy, Jiehong Kong, Mikael Rönnqvist, Marielle Christiansen, Özlem Ergun, Sophie D'Amours, Eric Marcon, Andres Weintraub, Alan T. Murray, Monique Guignard, Louis-Martin Rousseau, Richa Agarwal, Robert G. Haight, Dick Carlsson\n- Research collaborations between these authors: Jean-François Audy and Mikael Rönnqvist, Jean-François Audy and Özlem Ergun, Jean-François Audy and Sophie D'Amours, Jiehong Kong and Mikael Rönnqvist, Mikael Rönnqvist and Louis-Martin Rousseau, Mikael Rönnqvist and Andres Weintraub, Mikael Rönnqvist and Alan T. Murray, Mikael Rönnqvist and Monique Guignard, Mikael Rönnqvist and Özlem Ergun, Mikael Rönnqvist and Sophie D'Amours, Mikael Rönnqvist and Dick Carlsson, Mikael Rönnqvist and Richa Agarwal, Mikael Rönnqvist and Robert G. Haight, Mikael Rönnqvist and Eric Marcon, Mikael Rönnqvist and Marielle Christiansen, Marielle Christiansen and Özlem Ergun, Özlem Ergun and Richa Agarwal, Özlem Ergun and Sophie D'Amours, Sophie D'Amours and Andres Weintraub, Sophie D'Amours and Dick Carlsson, Andres Weintraub and Louis-Martin Rousseau, Andres Weintraub and Monique Guignard, Andres Weintraub and Alan T. Murray, Andres Weintraub and Robert G. Haight.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jean-Fran\\u00e7ois Audy\", \"id\": 25442}, {\"name\": \"Jiehong Kong\", \"id\": 632962}, {\"name\": \"Mikael R\\u00f6nnqvist\", \"id\": 25444}, {\"name\": \"Marielle Christiansen\", \"id\": 612517}, {\"name\": \"\\u00d6zlem Ergun\", \"id\": 183303}, {\"name\": \"Sophie D'Amours\", \"id\": 250824}, {\"name\": \"Eric Marcon\", \"id\": 273063}, {\"name\": \"Andres Weintraub\", \"id\": 25008}, {\"name\": \"Alan T. Murray\", \"id\": 25010}, {\"name\": \"Monique Guignard\", \"id\": 25011}, {\"name\": \"Louis-Martin Rousseau\", \"id\": 15253}, {\"name\": \"Richa Agarwal\", \"id\": 764695}, {\"name\": \"Robert G. Haight\", \"id\": 35482}, {\"name\": \"Dick Carlsson\", \"id\": 565151}], \"links\": [{\"source\": 25442, \"target\": 25444}, {\"source\": 25442, \"target\": 183303}, {\"source\": 25442, \"target\": 250824}, {\"source\": 632962, \"target\": 25444}, {\"source\": 25444, \"target\": 15253}, {\"source\": 25444, \"target\": 25008}, {\"source\": 25444, \"target\": 25010}, {\"source\": 25444, \"target\": 25011}, {\"source\": 25444, \"target\": 183303}, {\"source\": 25444, \"target\": 250824}, {\"source\": 25444, \"target\": 565151}, {\"source\": 25444, \"target\": 764695}, {\"source\": 25444, \"target\": 35482}, {\"source\": 25444, \"target\": 273063}, {\"source\": 25444, \"target\": 612517}, {\"source\": 612517, \"target\": 183303}, {\"source\": 183303, \"target\": 764695}, {\"source\": 183303, \"target\": 250824}, {\"source\": 250824, \"target\": 25008}, {\"source\": 250824, \"target\": 565151}, {\"source\": 25008, \"target\": 15253}, {\"source\": 25008, \"target\": 25011}, {\"source\": 25008, \"target\": 25010}, {\"source\": 25008, \"target\": 35482}]}",
"id": 772,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jean-François Audy, Jiehong Kong, Mikael Rönnqvist, Marielle Christiansen, Özlem Ergun, Sophie D'Amours, Eric Marcon, Andres Weintraub, Alan T. Murray, Monique Guignard, Louis-Martin Rousseau, Richa Agarwal, Robert G. Haight, Dick Carlsson\n- Research collaborations between these authors: Jean-François Audy and Mikael Rönnqvist, Jean-François Audy and Özlem Ergun, Jean-François Audy and Sophie D'Amours, Jiehong Kong and Mikael Rönnqvist, Mikael Rönnqvist and Louis-Martin Rousseau, Mikael Rönnqvist and Andres Weintraub, Mikael Rönnqvist and Alan T. Murray, Mikael Rönnqvist and Monique Guignard, Mikael Rönnqvist and Özlem Ergun, Mikael Rönnqvist and Sophie D'Amours, Mikael Rönnqvist and Dick Carlsson, Mikael Rönnqvist and Richa Agarwal, Mikael Rönnqvist and Robert G. Haight, Mikael Rönnqvist and Eric Marcon, Mikael Rönnqvist and Marielle Christiansen, Marielle Christiansen and Özlem Ergun, Özlem Ergun and Richa Agarwal, Özlem Ergun and Sophie D'Amours, Sophie D'Amours and Andres Weintraub, Sophie D'Amours and Dick Carlsson, Andres Weintraub and Louis-Martin Rousseau, Andres Weintraub and Monique Guignard, Andres Weintraub and Alan T. Murray, Andres Weintraub and Robert G. Haight.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Fangfei Li, Zhiqiang Li, Yin Zhao, Rui Li, Peng Shi, Yang Liu, Meng Yang, Jitao Sun, Xiaoping Liu, Wenwu Yu, Jinde Cao, Shaocheng Tong, Jie Zhong, Daizhan Cheng\n- Research collaborations between these authors: Fangfei Li and Rui Li, Fangfei Li and Jinde Cao, Fangfei Li and Jitao Sun, Fangfei Li and Jie Zhong, Fangfei Li and Daizhan Cheng, Fangfei Li and Yang Liu, Fangfei Li and Zhiqiang Li, Fangfei Li and Meng Yang, Fangfei Li and Xiaoping Liu, Fangfei Li and Shaocheng Tong, Fangfei Li and Peng Shi, Fangfei Li and Wenwu Yu, Fangfei Li and Yin Zhao, Zhiqiang Li and Rui Li, Zhiqiang Li and Peng Shi, Zhiqiang Li and Daizhan Cheng, Zhiqiang Li and Meng Yang, Zhiqiang Li and Jitao Sun, Zhiqiang Li and Yin Zhao, Yin Zhao and Yang Liu, Yin Zhao and Rui Li, Yin Zhao and Meng Yang, Yin Zhao and Jinde Cao, Yin Zhao and Jitao Sun, Yin Zhao and Jie Zhong, Yin Zhao and Daizhan Cheng, Rui Li and Yang Liu, Rui Li and Meng Yang, Rui Li and Jitao Sun, Rui Li and Daizhan Cheng, Rui Li and Jinde Cao, Rui Li and Jie Zhong, Peng Shi and Yang Liu, Peng Shi and Xiaoping Liu, Peng Shi and Shaocheng Tong, Peng Shi and Jinde Cao, Peng Shi and Wenwu Yu, Peng Shi and Daizhan Cheng, Peng Shi and Jitao Sun, Yang Liu and Meng Yang, Yang Liu and Jinde Cao, Yang Liu and Jitao Sun, Yang Liu and Wenwu Yu, Yang Liu and Jie Zhong, Yang Liu and Daizhan Cheng, Meng Yang and Daizhan Cheng, Meng Yang and Jinde Cao, Jitao Sun and Jinde Cao, Jitao Sun and Daizhan Cheng, Xiaoping Liu and Shaocheng Tong, Xiaoping Liu and Jinde Cao, Wenwu Yu and Jinde Cao, Wenwu Yu and Daizhan Cheng, Jinde Cao and Shaocheng Tong, Jinde Cao and Jie Zhong, Jinde Cao and Daizhan Cheng, Jie Zhong and Daizhan Cheng.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Fangfei Li\", \"id\": 413794}, {\"name\": \"Yin Zhao\", \"id\": 492517}, {\"name\": \"Rui Li\", \"id\": 2726}, {\"name\": \"Peng Shi\", \"id\": 115051}, {\"name\": \"Yang Liu\", \"id\": 2509}, {\"name\": \"Meng Yang\", \"id\": 18862}, {\"name\": \"Jitao Sun\", \"id\": 197390}, {\"name\": \"Xiaoping Liu\", \"id\": 26513}, {\"name\": \"Wenwu Yu\", \"id\": 197588}, {\"name\": \"Jinde Cao\", \"id\": 82293}, {\"name\": \"Shaocheng Tong\", \"id\": 59254}, {\"name\": \"Zhiqiang Li\", \"id\": 10489}, {\"name\": \"Jie Zhong\", \"id\": 350137}, {\"name\": \"Daizhan Cheng\", \"id\": 363550}], \"links\": [{\"source\": 413794, \"target\": 2726}, {\"source\": 413794, \"target\": 82293}, {\"source\": 413794, \"target\": 197390}, {\"source\": 413794, \"target\": 350137}, {\"source\": 413794, \"target\": 363550}, {\"source\": 413794, \"target\": 2509}, {\"source\": 413794, \"target\": 10489}, {\"source\": 413794, \"target\": 18862}, {\"source\": 413794, \"target\": 26513}, {\"source\": 413794, \"target\": 59254}, {\"source\": 413794, \"target\": 115051}, {\"source\": 413794, \"target\": 197588}, {\"source\": 413794, \"target\": 492517}, {\"source\": 492517, \"target\": 2509}, {\"source\": 492517, \"target\": 2726}, {\"source\": 492517, \"target\": 18862}, {\"source\": 492517, \"target\": 82293}, {\"source\": 492517, \"target\": 197390}, {\"source\": 492517, \"target\": 350137}, {\"source\": 492517, \"target\": 363550}, {\"source\": 492517, \"target\": 10489}, {\"source\": 2726, \"target\": 2509}, {\"source\": 2726, \"target\": 10489}, {\"source\": 2726, \"target\": 18862}, {\"source\": 2726, \"target\": 197390}, {\"source\": 2726, \"target\": 363550}, {\"source\": 2726, \"target\": 82293}, {\"source\": 2726, \"target\": 350137}, {\"source\": 115051, \"target\": 2509}, {\"source\": 115051, \"target\": 10489}, {\"source\": 115051, \"target\": 26513}, {\"source\": 115051, \"target\": 59254}, {\"source\": 115051, \"target\": 82293}, {\"source\": 115051, \"target\": 197588}, {\"source\": 115051, \"target\": 363550}, {\"source\": 115051, \"target\": 197390}, {\"source\": 2509, \"target\": 18862}, {\"source\": 2509, \"target\": 82293}, {\"source\": 2509, \"target\": 197390}, {\"source\": 2509, \"target\": 197588}, {\"source\": 2509, \"target\": 350137}, {\"source\": 2509, \"target\": 363550}, {\"source\": 18862, \"target\": 10489}, {\"source\": 18862, \"target\": 363550}, {\"source\": 18862, \"target\": 82293}, {\"source\": 197390, \"target\": 82293}, {\"source\": 197390, \"target\": 10489}, {\"source\": 197390, \"target\": 363550}, {\"source\": 26513, \"target\": 59254}, {\"source\": 26513, \"target\": 82293}, {\"source\": 197588, \"target\": 82293}, {\"source\": 197588, \"target\": 363550}, {\"source\": 82293, \"target\": 59254}, {\"source\": 82293, \"target\": 350137}, {\"source\": 82293, \"target\": 363550}, {\"source\": 10489, \"target\": 363550}, {\"source\": 350137, \"target\": 363550}]}",
"id": 2540,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Fangfei Li, Zhiqiang Li, Yin Zhao, Rui Li, Peng Shi, Yang Liu, Meng Yang, Jitao Sun, Xiaoping Liu, Wenwu Yu, Jinde Cao, Shaocheng Tong, Jie Zhong, Daizhan Cheng\n- Research collaborations between these authors: Fangfei Li and Rui Li, Fangfei Li and Jinde Cao, Fangfei Li and Jitao Sun, Fangfei Li and Jie Zhong, Fangfei Li and Daizhan Cheng, Fangfei Li and Yang Liu, Fangfei Li and Zhiqiang Li, Fangfei Li and Meng Yang, Fangfei Li and Xiaoping Liu, Fangfei Li and Shaocheng Tong, Fangfei Li and Peng Shi, Fangfei Li and Wenwu Yu, Fangfei Li and Yin Zhao, Zhiqiang Li and Rui Li, Zhiqiang Li and Peng Shi, Zhiqiang Li and Daizhan Cheng, Zhiqiang Li and Meng Yang, Zhiqiang Li and Jitao Sun, Zhiqiang Li and Yin Zhao, Yin Zhao and Yang Liu, Yin Zhao and Rui Li, Yin Zhao and Meng Yang, Yin Zhao and Jinde Cao, Yin Zhao and Jitao Sun, Yin Zhao and Jie Zhong, Yin Zhao and Daizhan Cheng, Rui Li and Yang Liu, Rui Li and Meng Yang, Rui Li and Jitao Sun, Rui Li and Daizhan Cheng, Rui Li and Jinde Cao, Rui Li and Jie Zhong, Peng Shi and Yang Liu, Peng Shi and Xiaoping Liu, Peng Shi and Shaocheng Tong, Peng Shi and Jinde Cao, Peng Shi and Wenwu Yu, Peng Shi and Daizhan Cheng, Peng Shi and Jitao Sun, Yang Liu and Meng Yang, Yang Liu and Jinde Cao, Yang Liu and Jitao Sun, Yang Liu and Wenwu Yu, Yang Liu and Jie Zhong, Yang Liu and Daizhan Cheng, Meng Yang and Daizhan Cheng, Meng Yang and Jinde Cao, Jitao Sun and Jinde Cao, Jitao Sun and Daizhan Cheng, Xiaoping Liu and Shaocheng Tong, Xiaoping Liu and Jinde Cao, Wenwu Yu and Jinde Cao, Wenwu Yu and Daizhan Cheng, Jinde Cao and Shaocheng Tong, Jinde Cao and Jie Zhong, Jinde Cao and Daizhan Cheng, Jie Zhong and Daizhan Cheng.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Osamu Isoguchi, Shilin Zhou, William Perrie, Attilio Gambardella, Ferdinando Nunziata, Maurizio Migliaccio, Adriano Camps, Masanobu Shimada, Enric Valencia, Xiaofeng Li, Nereida Rodriguez-Alvarez, David G. Long, Domenico Velotto, Camilla Brekke\n- Research collaborations between these authors: Osamu Isoguchi and Xiaofeng Li, Osamu Isoguchi and Ferdinando Nunziata, Osamu Isoguchi and Maurizio Migliaccio, Osamu Isoguchi and Masanobu Shimada, Shilin Zhou and Xiaofeng Li, Shilin Zhou and Ferdinando Nunziata, Shilin Zhou and Maurizio Migliaccio, William Perrie and Xiaofeng Li, William Perrie and Attilio Gambardella, William Perrie and Ferdinando Nunziata, William Perrie and Maurizio Migliaccio, Attilio Gambardella and Xiaofeng Li, Attilio Gambardella and Camilla Brekke, Attilio Gambardella and Ferdinando Nunziata, Attilio Gambardella and Maurizio Migliaccio, Attilio Gambardella and Domenico Velotto, Ferdinando Nunziata and Xiaofeng Li, Ferdinando Nunziata and Camilla Brekke, Ferdinando Nunziata and Maurizio Migliaccio, Ferdinando Nunziata and Masanobu Shimada, Ferdinando Nunziata and Adriano Camps, Ferdinando Nunziata and David G. Long, Ferdinando Nunziata and Enric Valencia, Ferdinando Nunziata and Nereida Rodriguez-Alvarez, Ferdinando Nunziata and Domenico Velotto, Maurizio Migliaccio and Xiaofeng Li, Maurizio Migliaccio and Camilla Brekke, Maurizio Migliaccio and Masanobu Shimada, Maurizio Migliaccio and Adriano Camps, Maurizio Migliaccio and David G. Long, Maurizio Migliaccio and Enric Valencia, Maurizio Migliaccio and Nereida Rodriguez-Alvarez, Maurizio Migliaccio and Domenico Velotto, Adriano Camps and Enric Valencia, Adriano Camps and Nereida Rodriguez-Alvarez, Masanobu Shimada and Xiaofeng Li, Enric Valencia and Nereida Rodriguez-Alvarez, Xiaofeng Li and David G. Long.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Osamu Isoguchi\", \"id\": 712289}, {\"name\": \"Shilin Zhou\", \"id\": 128066}, {\"name\": \"William Perrie\", \"id\": 244931}, {\"name\": \"Attilio Gambardella\", \"id\": 241256}, {\"name\": \"Ferdinando Nunziata\", \"id\": 241257}, {\"name\": \"Maurizio Migliaccio\", \"id\": 241258}, {\"name\": \"Adriano Camps\", \"id\": 281322}, {\"name\": \"Masanobu Shimada\", \"id\": 250347}, {\"name\": \"Enric Valencia\", \"id\": 511052}, {\"name\": \"Xiaofeng Li\", \"id\": 111214}, {\"name\": \"Nereida Rodriguez-Alvarez\", \"id\": 511053}, {\"name\": \"David G. Long\", \"id\": 288050}, {\"name\": \"Domenico Velotto\", \"id\": 651252}, {\"name\": \"Camilla Brekke\", \"id\": 232247}], \"links\": [{\"source\": 712289, \"target\": 111214}, {\"source\": 712289, \"target\": 241257}, {\"source\": 712289, \"target\": 241258}, {\"source\": 712289, \"target\": 250347}, {\"source\": 128066, \"target\": 111214}, {\"source\": 128066, \"target\": 241257}, {\"source\": 128066, \"target\": 241258}, {\"source\": 244931, \"target\": 111214}, {\"source\": 244931, \"target\": 241256}, {\"source\": 244931, \"target\": 241257}, {\"source\": 244931, \"target\": 241258}, {\"source\": 241256, \"target\": 111214}, {\"source\": 241256, \"target\": 232247}, {\"source\": 241256, \"target\": 241257}, {\"source\": 241256, \"target\": 241258}, {\"source\": 241256, \"target\": 651252}, {\"source\": 241257, \"target\": 111214}, {\"source\": 241257, \"target\": 232247}, {\"source\": 241257, \"target\": 241258}, {\"source\": 241257, \"target\": 250347}, {\"source\": 241257, \"target\": 281322}, {\"source\": 241257, \"target\": 288050}, {\"source\": 241257, \"target\": 511052}, {\"source\": 241257, \"target\": 511053}, {\"source\": 241257, \"target\": 651252}, {\"source\": 241258, \"target\": 111214}, {\"source\": 241258, \"target\": 232247}, {\"source\": 241258, \"target\": 250347}, {\"source\": 241258, \"target\": 281322}, {\"source\": 241258, \"target\": 288050}, {\"source\": 241258, \"target\": 511052}, {\"source\": 241258, \"target\": 511053}, {\"source\": 241258, \"target\": 651252}, {\"source\": 281322, \"target\": 511052}, {\"source\": 281322, \"target\": 511053}, {\"source\": 250347, \"target\": 111214}, {\"source\": 511052, \"target\": 511053}, {\"source\": 111214, \"target\": 288050}]}",
"id": 1910,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Osamu Isoguchi, Shilin Zhou, William Perrie, Attilio Gambardella, Ferdinando Nunziata, Maurizio Migliaccio, Adriano Camps, Masanobu Shimada, Enric Valencia, Xiaofeng Li, Nereida Rodriguez-Alvarez, David G. Long, Domenico Velotto, Camilla Brekke\n- Research collaborations between these authors: Osamu Isoguchi and Xiaofeng Li, Osamu Isoguchi and Ferdinando Nunziata, Osamu Isoguchi and Maurizio Migliaccio, Osamu Isoguchi and Masanobu Shimada, Shilin Zhou and Xiaofeng Li, Shilin Zhou and Ferdinando Nunziata, Shilin Zhou and Maurizio Migliaccio, William Perrie and Xiaofeng Li, William Perrie and Attilio Gambardella, William Perrie and Ferdinando Nunziata, William Perrie and Maurizio Migliaccio, Attilio Gambardella and Xiaofeng Li, Attilio Gambardella and Camilla Brekke, Attilio Gambardella and Ferdinando Nunziata, Attilio Gambardella and Maurizio Migliaccio, Attilio Gambardella and Domenico Velotto, Ferdinando Nunziata and Xiaofeng Li, Ferdinando Nunziata and Camilla Brekke, Ferdinando Nunziata and Maurizio Migliaccio, Ferdinando Nunziata and Masanobu Shimada, Ferdinando Nunziata and Adriano Camps, Ferdinando Nunziata and David G. Long, Ferdinando Nunziata and Enric Valencia, Ferdinando Nunziata and Nereida Rodriguez-Alvarez, Ferdinando Nunziata and Domenico Velotto, Maurizio Migliaccio and Xiaofeng Li, Maurizio Migliaccio and Camilla Brekke, Maurizio Migliaccio and Masanobu Shimada, Maurizio Migliaccio and Adriano Camps, Maurizio Migliaccio and David G. Long, Maurizio Migliaccio and Enric Valencia, Maurizio Migliaccio and Nereida Rodriguez-Alvarez, Maurizio Migliaccio and Domenico Velotto, Adriano Camps and Enric Valencia, Adriano Camps and Nereida Rodriguez-Alvarez, Masanobu Shimada and Xiaofeng Li, Enric Valencia and Nereida Rodriguez-Alvarez, Xiaofeng Li and David G. Long.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jun'ichi Tsujii, Carlos Ramisch, Jonathan Berant, Kassius Prestes, Aline Villavicencio, Ido Dagan, Stephan Oepen, Patrick Pantel, Richard Socher, Christopher D. Manning, Roxana Girju, Catherine Macleod, Jason Weston, Veronika Vincze\n- Research collaborations between these authors: Jun'ichi Tsujii and Veronika Vincze, Jun'ichi Tsujii and Christopher D. Manning, Jun'ichi Tsujii and Stephan Oepen, Carlos Ramisch and Veronika Vincze, Carlos Ramisch and Kassius Prestes, Carlos Ramisch and Aline Villavicencio, Jonathan Berant and Jason Weston, Jonathan Berant and Christopher D. Manning, Jonathan Berant and Ido Dagan, Jonathan Berant and Patrick Pantel, Jonathan Berant and Catherine Macleod, Kassius Prestes and Aline Villavicencio, Aline Villavicencio and Veronika Vincze, Aline Villavicencio and Christopher D. Manning, Aline Villavicencio and Stephan Oepen, Aline Villavicencio and Richard Socher, Aline Villavicencio and Catherine Macleod, Ido Dagan and Christopher D. Manning, Ido Dagan and Patrick Pantel, Ido Dagan and Richard Socher, Ido Dagan and Roxana Girju, Ido Dagan and Catherine Macleod, Stephan Oepen and Veronika Vincze, Stephan Oepen and Christopher D. Manning, Patrick Pantel and Christopher D. Manning, Patrick Pantel and Roxana Girju, Patrick Pantel and Richard Socher, Richard Socher and Jason Weston, Richard Socher and Christopher D. Manning, Christopher D. Manning and Veronika Vincze, Christopher D. Manning and Jason Weston, Christopher D. Manning and Roxana Girju, Roxana Girju and Catherine Macleod, Catherine Macleod and Veronika Vincze.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jun'ichi Tsujii\", \"id\": 12129}, {\"name\": \"Carlos Ramisch\", \"id\": 131106}, {\"name\": \"Jonathan Berant\", \"id\": 406116}, {\"name\": \"Kassius Prestes\", \"id\": 85705}, {\"name\": \"Aline Villavicencio\", \"id\": 85706}, {\"name\": \"Ido Dagan\", \"id\": 63338}, {\"name\": \"Stephan Oepen\", \"id\": 47145}, {\"name\": \"Patrick Pantel\", \"id\": 75369}, {\"name\": \"Richard Socher\", \"id\": 77203}, {\"name\": \"Christopher D. Manning\", \"id\": 38707}, {\"name\": \"Roxana Girju\", \"id\": 82871}, {\"name\": \"Catherine Macleod\", \"id\": 127512}, {\"name\": \"Jason Weston\", \"id\": 27800}, {\"name\": \"Veronika Vincze\", \"id\": 12031}], \"links\": [{\"source\": 12129, \"target\": 12031}, {\"source\": 12129, \"target\": 38707}, {\"source\": 12129, \"target\": 47145}, {\"source\": 131106, \"target\": 12031}, {\"source\": 131106, \"target\": 85705}, {\"source\": 131106, \"target\": 85706}, {\"source\": 406116, \"target\": 27800}, {\"source\": 406116, \"target\": 38707}, {\"source\": 406116, \"target\": 63338}, {\"source\": 406116, \"target\": 75369}, {\"source\": 406116, \"target\": 127512}, {\"source\": 85705, \"target\": 85706}, {\"source\": 85706, \"target\": 12031}, {\"source\": 85706, \"target\": 38707}, {\"source\": 85706, \"target\": 47145}, {\"source\": 85706, \"target\": 77203}, {\"source\": 85706, \"target\": 127512}, {\"source\": 63338, \"target\": 38707}, {\"source\": 63338, \"target\": 75369}, {\"source\": 63338, \"target\": 77203}, {\"source\": 63338, \"target\": 82871}, {\"source\": 63338, \"target\": 127512}, {\"source\": 47145, \"target\": 12031}, {\"source\": 47145, \"target\": 38707}, {\"source\": 75369, \"target\": 38707}, {\"source\": 75369, \"target\": 82871}, {\"source\": 75369, \"target\": 77203}, {\"source\": 77203, \"target\": 27800}, {\"source\": 77203, \"target\": 38707}, {\"source\": 38707, \"target\": 12031}, {\"source\": 38707, \"target\": 27800}, {\"source\": 38707, \"target\": 82871}, {\"source\": 82871, \"target\": 127512}, {\"source\": 127512, \"target\": 12031}]}",
"id": 659,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jun'ichi Tsujii, Carlos Ramisch, Jonathan Berant, Kassius Prestes, Aline Villavicencio, Ido Dagan, Stephan Oepen, Patrick Pantel, Richard Socher, Christopher D. Manning, Roxana Girju, Catherine Macleod, Jason Weston, Veronika Vincze\n- Research collaborations between these authors: Jun'ichi Tsujii and Veronika Vincze, Jun'ichi Tsujii and Christopher D. Manning, Jun'ichi Tsujii and Stephan Oepen, Carlos Ramisch and Veronika Vincze, Carlos Ramisch and Kassius Prestes, Carlos Ramisch and Aline Villavicencio, Jonathan Berant and Jason Weston, Jonathan Berant and Christopher D. Manning, Jonathan Berant and Ido Dagan, Jonathan Berant and Patrick Pantel, Jonathan Berant and Catherine Macleod, Kassius Prestes and Aline Villavicencio, Aline Villavicencio and Veronika Vincze, Aline Villavicencio and Christopher D. Manning, Aline Villavicencio and Stephan Oepen, Aline Villavicencio and Richard Socher, Aline Villavicencio and Catherine Macleod, Ido Dagan and Christopher D. Manning, Ido Dagan and Patrick Pantel, Ido Dagan and Richard Socher, Ido Dagan and Roxana Girju, Ido Dagan and Catherine Macleod, Stephan Oepen and Veronika Vincze, Stephan Oepen and Christopher D. Manning, Patrick Pantel and Christopher D. Manning, Patrick Pantel and Roxana Girju, Patrick Pantel and Richard Socher, Richard Socher and Jason Weston, Richard Socher and Christopher D. Manning, Christopher D. Manning and Veronika Vincze, Christopher D. Manning and Jason Weston, Christopher D. Manning and Roxana Girju, Roxana Girju and Catherine Macleod, Catherine Macleod and Veronika Vincze.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Pawel Blasiak, A. Horzela, K. A. Penson, Hoang Ngoc Minh, Jean-Marc Champarnaud, Gérard Duchamp, Rawan Ghnemat, Jean-Christophe Novelli, Marianne Flouret, Éric Laugerotte, Gérard Henry Edmond Duchamp, Allan I. Solomon, Cyrille Bertelle, Jean-Yves Thibon\n- Research collaborations between these authors: Pawel Blasiak and Gérard Henry Edmond Duchamp, Pawel Blasiak and K. A. Penson, A. Horzela and Gérard Henry Edmond Duchamp, A. Horzela and K. A. Penson, K. A. Penson and Gérard Henry Edmond Duchamp, K. A. Penson and Allan I. Solomon, Hoang Ngoc Minh and Gérard Henry Edmond Duchamp, Jean-Marc Champarnaud and Gérard Henry Edmond Duchamp, Jean-Marc Champarnaud and Éric Laugerotte, Gérard Duchamp and Gérard Henry Edmond Duchamp, Rawan Ghnemat and Cyrille Bertelle, Rawan Ghnemat and Gérard Henry Edmond Duchamp, Jean-Christophe Novelli and Jean-Yves Thibon, Jean-Christophe Novelli and Gérard Henry Edmond Duchamp, Marianne Flouret and Gérard Henry Edmond Duchamp, Marianne Flouret and Éric Laugerotte, Éric Laugerotte and Gérard Henry Edmond Duchamp, Gérard Henry Edmond Duchamp and Allan I. Solomon, Gérard Henry Edmond Duchamp and Cyrille Bertelle, Gérard Henry Edmond Duchamp and Jean-Yves Thibon.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 3,
"style": "rule"
}
|
{
"exact_answer": 3,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Pawel Blasiak\", \"id\": 413312}, {\"name\": \"A. Horzela\", \"id\": 413313}, {\"name\": \"Hoang Ngoc Minh\", \"id\": 147079}, {\"name\": \"Allan I. Solomon\", \"id\": 385687}, {\"name\": \"Jean-Marc Champarnaud\", \"id\": 47850}, {\"name\": \"G\\u00e9rard Duchamp\", \"id\": 112971}, {\"name\": \"Rawan Ghnemat\", \"id\": 386061}, {\"name\": \"Jean-Christophe Novelli\", \"id\": 424912}, {\"name\": \"Marianne Flouret\", \"id\": 61233}, {\"name\": \"\\u00c9ric Laugerotte\", \"id\": 198993}, {\"name\": \"G\\u00e9rard Henry Edmond Duchamp\", \"id\": 11732}, {\"name\": \"K. A. Penson\", \"id\": 11735}, {\"name\": \"Cyrille Bertelle\", \"id\": 94013}, {\"name\": \"Jean-Yves Thibon\", \"id\": 238367}], \"links\": [{\"source\": 413312, \"target\": 11732}, {\"source\": 413312, \"target\": 11735}, {\"source\": 413313, \"target\": 11732}, {\"source\": 413313, \"target\": 11735}, {\"source\": 147079, \"target\": 11732}, {\"source\": 385687, \"target\": 11732}, {\"source\": 385687, \"target\": 11735}, {\"source\": 47850, \"target\": 11732}, {\"source\": 47850, \"target\": 198993}, {\"source\": 112971, \"target\": 11732}, {\"source\": 386061, \"target\": 94013}, {\"source\": 386061, \"target\": 11732}, {\"source\": 424912, \"target\": 238367}, {\"source\": 424912, \"target\": 11732}, {\"source\": 61233, \"target\": 11732}, {\"source\": 61233, \"target\": 198993}, {\"source\": 198993, \"target\": 11732}, {\"source\": 11732, \"target\": 11735}, {\"source\": 11732, \"target\": 94013}, {\"source\": 11732, \"target\": 238367}]}",
"id": 2839,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Pawel Blasiak, A. Horzela, K. A. Penson, Hoang Ngoc Minh, Jean-Marc Champarnaud, Gérard Duchamp, Rawan Ghnemat, Jean-Christophe Novelli, Marianne Flouret, Éric Laugerotte, Gérard Henry Edmond Duchamp, Allan I. Solomon, Cyrille Bertelle, Jean-Yves Thibon\n- Research collaborations between these authors: Pawel Blasiak and Gérard Henry Edmond Duchamp, Pawel Blasiak and K. A. Penson, A. Horzela and Gérard Henry Edmond Duchamp, A. Horzela and K. A. Penson, K. A. Penson and Gérard Henry Edmond Duchamp, K. A. Penson and Allan I. Solomon, Hoang Ngoc Minh and Gérard Henry Edmond Duchamp, Jean-Marc Champarnaud and Gérard Henry Edmond Duchamp, Jean-Marc Champarnaud and Éric Laugerotte, Gérard Duchamp and Gérard Henry Edmond Duchamp, Rawan Ghnemat and Cyrille Bertelle, Rawan Ghnemat and Gérard Henry Edmond Duchamp, Jean-Christophe Novelli and Jean-Yves Thibon, Jean-Christophe Novelli and Gérard Henry Edmond Duchamp, Marianne Flouret and Gérard Henry Edmond Duchamp, Marianne Flouret and Éric Laugerotte, Éric Laugerotte and Gérard Henry Edmond Duchamp, Gérard Henry Edmond Duchamp and Allan I. Solomon, Gérard Henry Edmond Duchamp and Cyrille Bertelle, Gérard Henry Edmond Duchamp and Jean-Yves Thibon.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Frédéric Vivien, Koichiro Rinsaka, Yanyong Zhang, Rivalino Matias, Dong Seong Kim, Hiroyuki Okamura, Tadashi Dohi, Richard E. Harper, Kishor S. Trivedi, Malgorzata Steinder, Roberto Natella, Miroslaw Malek, Stefano Russo, Kalyanaraman Vaidyanathan\n- Research collaborations between these authors: Frédéric Vivien and Kishor S. Trivedi, Frédéric Vivien and Kalyanaraman Vaidyanathan, Frédéric Vivien and Richard E. Harper, Koichiro Rinsaka and Hiroyuki Okamura, Koichiro Rinsaka and Tadashi Dohi, Koichiro Rinsaka and Kishor S. Trivedi, Koichiro Rinsaka and Kalyanaraman Vaidyanathan, Koichiro Rinsaka and Richard E. Harper, Yanyong Zhang and Kishor S. Trivedi, Yanyong Zhang and Kalyanaraman Vaidyanathan, Yanyong Zhang and Richard E. Harper, Rivalino Matias and Tadashi Dohi, Rivalino Matias and Stefano Russo, Rivalino Matias and Kishor S. Trivedi, Rivalino Matias and Dong Seong Kim, Rivalino Matias and Roberto Natella, Rivalino Matias and Kalyanaraman Vaidyanathan, Rivalino Matias and Richard E. Harper, Dong Seong Kim and Stefano Russo, Dong Seong Kim and Kishor S. Trivedi, Dong Seong Kim and Roberto Natella, Dong Seong Kim and Kalyanaraman Vaidyanathan, Dong Seong Kim and Richard E. Harper, Hiroyuki Okamura and Tadashi Dohi, Hiroyuki Okamura and Kishor S. Trivedi, Hiroyuki Okamura and Kalyanaraman Vaidyanathan, Hiroyuki Okamura and Richard E. Harper, Hiroyuki Okamura and Stefano Russo, Hiroyuki Okamura and Roberto Natella, Tadashi Dohi and Kishor S. Trivedi, Tadashi Dohi and Kalyanaraman Vaidyanathan, Tadashi Dohi and Richard E. Harper, Tadashi Dohi and Stefano Russo, Tadashi Dohi and Miroslaw Malek, Tadashi Dohi and Roberto Natella, Richard E. Harper and Stefano Russo, Richard E. Harper and Miroslaw Malek, Richard E. Harper and Kishor S. Trivedi, Richard E. Harper and Roberto Natella, Richard E. Harper and Kalyanaraman Vaidyanathan, Richard E. Harper and Malgorzata Steinder, Kishor S. Trivedi and Stefano Russo, Kishor S. Trivedi and Miroslaw Malek, Kishor S. Trivedi and Roberto Natella, Kishor S. Trivedi and Kalyanaraman Vaidyanathan, Roberto Natella and Stefano Russo, Roberto Natella and Miroslaw Malek, Roberto Natella and Kalyanaraman Vaidyanathan, Miroslaw Malek and Stefano Russo, Miroslaw Malek and Kalyanaraman Vaidyanathan, Stefano Russo and Kalyanaraman Vaidyanathan.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Fr\\u00e9d\\u00e9ric Vivien\", \"id\": 202560}, {\"name\": \"Koichiro Rinsaka\", \"id\": 291106}, {\"name\": \"Yanyong Zhang\", \"id\": 43907}, {\"name\": \"Rivalino Matias\", \"id\": 504357}, {\"name\": \"Dong Seong Kim\", \"id\": 67910}, {\"name\": \"Hiroyuki Okamura\", \"id\": 30888}, {\"name\": \"Tadashi Dohi\", \"id\": 30889}, {\"name\": \"Richard E. Harper\", \"id\": 276267}, {\"name\": \"Kishor S. Trivedi\", \"id\": 63087}, {\"name\": \"Malgorzata Steinder\", \"id\": 75410}, {\"name\": \"Roberto Natella\", \"id\": 74419}, {\"name\": \"Miroslaw Malek\", \"id\": 46644}, {\"name\": \"Stefano Russo\", \"id\": 44954}, {\"name\": \"Kalyanaraman Vaidyanathan\", \"id\": 226269}], \"links\": [{\"source\": 202560, \"target\": 63087}, {\"source\": 202560, \"target\": 226269}, {\"source\": 202560, \"target\": 276267}, {\"source\": 291106, \"target\": 30888}, {\"source\": 291106, \"target\": 30889}, {\"source\": 291106, \"target\": 63087}, {\"source\": 291106, \"target\": 226269}, {\"source\": 291106, \"target\": 276267}, {\"source\": 43907, \"target\": 63087}, {\"source\": 43907, \"target\": 226269}, {\"source\": 43907, \"target\": 276267}, {\"source\": 504357, \"target\": 30889}, {\"source\": 504357, \"target\": 44954}, {\"source\": 504357, \"target\": 63087}, {\"source\": 504357, \"target\": 67910}, {\"source\": 504357, \"target\": 74419}, {\"source\": 504357, \"target\": 226269}, {\"source\": 504357, \"target\": 276267}, {\"source\": 67910, \"target\": 44954}, {\"source\": 67910, \"target\": 63087}, {\"source\": 67910, \"target\": 74419}, {\"source\": 67910, \"target\": 226269}, {\"source\": 67910, \"target\": 276267}, {\"source\": 30888, \"target\": 30889}, {\"source\": 30888, \"target\": 63087}, {\"source\": 30888, \"target\": 226269}, {\"source\": 30888, \"target\": 276267}, {\"source\": 30888, \"target\": 44954}, {\"source\": 30888, \"target\": 74419}, {\"source\": 30889, \"target\": 63087}, {\"source\": 30889, \"target\": 226269}, {\"source\": 30889, \"target\": 276267}, {\"source\": 30889, \"target\": 44954}, {\"source\": 30889, \"target\": 46644}, {\"source\": 30889, \"target\": 74419}, {\"source\": 276267, \"target\": 44954}, {\"source\": 276267, \"target\": 46644}, {\"source\": 276267, \"target\": 63087}, {\"source\": 276267, \"target\": 74419}, {\"source\": 276267, \"target\": 226269}, {\"source\": 276267, \"target\": 75410}, {\"source\": 63087, \"target\": 44954}, {\"source\": 63087, \"target\": 46644}, {\"source\": 63087, \"target\": 74419}, {\"source\": 63087, \"target\": 226269}, {\"source\": 74419, \"target\": 44954}, {\"source\": 74419, \"target\": 46644}, {\"source\": 74419, \"target\": 226269}, {\"source\": 46644, \"target\": 44954}, {\"source\": 46644, \"target\": 226269}, {\"source\": 44954, \"target\": 226269}]}",
"id": 2746,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Frédéric Vivien, Koichiro Rinsaka, Yanyong Zhang, Rivalino Matias, Dong Seong Kim, Hiroyuki Okamura, Tadashi Dohi, Richard E. Harper, Kishor S. Trivedi, Malgorzata Steinder, Roberto Natella, Miroslaw Malek, Stefano Russo, Kalyanaraman Vaidyanathan\n- Research collaborations between these authors: Frédéric Vivien and Kishor S. Trivedi, Frédéric Vivien and Kalyanaraman Vaidyanathan, Frédéric Vivien and Richard E. Harper, Koichiro Rinsaka and Hiroyuki Okamura, Koichiro Rinsaka and Tadashi Dohi, Koichiro Rinsaka and Kishor S. Trivedi, Koichiro Rinsaka and Kalyanaraman Vaidyanathan, Koichiro Rinsaka and Richard E. Harper, Yanyong Zhang and Kishor S. Trivedi, Yanyong Zhang and Kalyanaraman Vaidyanathan, Yanyong Zhang and Richard E. Harper, Rivalino Matias and Tadashi Dohi, Rivalino Matias and Stefano Russo, Rivalino Matias and Kishor S. Trivedi, Rivalino Matias and Dong Seong Kim, Rivalino Matias and Roberto Natella, Rivalino Matias and Kalyanaraman Vaidyanathan, Rivalino Matias and Richard E. Harper, Dong Seong Kim and Stefano Russo, Dong Seong Kim and Kishor S. Trivedi, Dong Seong Kim and Roberto Natella, Dong Seong Kim and Kalyanaraman Vaidyanathan, Dong Seong Kim and Richard E. Harper, Hiroyuki Okamura and Tadashi Dohi, Hiroyuki Okamura and Kishor S. Trivedi, Hiroyuki Okamura and Kalyanaraman Vaidyanathan, Hiroyuki Okamura and Richard E. Harper, Hiroyuki Okamura and Stefano Russo, Hiroyuki Okamura and Roberto Natella, Tadashi Dohi and Kishor S. Trivedi, Tadashi Dohi and Kalyanaraman Vaidyanathan, Tadashi Dohi and Richard E. Harper, Tadashi Dohi and Stefano Russo, Tadashi Dohi and Miroslaw Malek, Tadashi Dohi and Roberto Natella, Richard E. Harper and Stefano Russo, Richard E. Harper and Miroslaw Malek, Richard E. Harper and Kishor S. Trivedi, Richard E. Harper and Roberto Natella, Richard E. Harper and Kalyanaraman Vaidyanathan, Richard E. Harper and Malgorzata Steinder, Kishor S. Trivedi and Stefano Russo, Kishor S. Trivedi and Miroslaw Malek, Kishor S. Trivedi and Roberto Natella, Kishor S. Trivedi and Kalyanaraman Vaidyanathan, Roberto Natella and Stefano Russo, Roberto Natella and Miroslaw Malek, Roberto Natella and Kalyanaraman Vaidyanathan, Miroslaw Malek and Stefano Russo, Miroslaw Malek and Kalyanaraman Vaidyanathan, Stefano Russo and Kalyanaraman Vaidyanathan.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xi Zhang, Natashia Boland, Karthikeyan Sankaralingam, Chita R. Das, Jafar Habibi, Rathijit Sen, Pedro López, David G. Lowe, Farshad Safaei, Mahmood Fathy, Ion Stoica, Hadi Esmaeilzadeh, Ahmad Khonsari, Behrouz Minaei-Bidgoli\n- Research collaborations between these authors: Xi Zhang and Ion Stoica, Xi Zhang and David G. Lowe, Karthikeyan Sankaralingam and Mahmood Fathy, Karthikeyan Sankaralingam and Chita R. Das, Karthikeyan Sankaralingam and Ion Stoica, Karthikeyan Sankaralingam and Rathijit Sen, Karthikeyan Sankaralingam and Hadi Esmaeilzadeh, Chita R. Das and Mahmood Fathy, Chita R. Das and Ion Stoica, Chita R. Das and Farshad Safaei, Chita R. Das and Pedro López, Jafar Habibi and Ion Stoica, Jafar Habibi and Mahmood Fathy, Rathijit Sen and Mahmood Fathy, Pedro López and Mahmood Fathy, Pedro López and Ahmad Khonsari, Pedro López and Farshad Safaei, David G. Lowe and Mahmood Fathy, Farshad Safaei and Mahmood Fathy, Farshad Safaei and Ahmad Khonsari, Farshad Safaei and Ion Stoica, Mahmood Fathy and Behrouz Minaei-Bidgoli, Mahmood Fathy and Ion Stoica, Mahmood Fathy and Ahmad Khonsari, Mahmood Fathy and Hadi Esmaeilzadeh, Ion Stoica and Ahmad Khonsari.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Xi Zhang\", \"id\": 7744}, {\"name\": \"Natashia Boland\", \"id\": 23745}, {\"name\": \"Karthikeyan Sankaralingam\", \"id\": 194466}, {\"name\": \"Chita R. Das\", \"id\": 37892}, {\"name\": \"Jafar Habibi\", \"id\": 3108}, {\"name\": \"Rathijit Sen\", \"id\": 364524}, {\"name\": \"Pedro L\\u00f3pez\", \"id\": 151597}, {\"name\": \"David G. Lowe\", \"id\": 115022}, {\"name\": \"Farshad Safaei\", \"id\": 58255}, {\"name\": \"Mahmood Fathy\", \"id\": 5683}, {\"name\": \"Ion Stoica\", \"id\": 19443}, {\"name\": \"Hadi Esmaeilzadeh\", \"id\": 435158}, {\"name\": \"Ahmad Khonsari\", \"id\": 24376}, {\"name\": \"Behrouz Minaei-Bidgoli\", \"id\": 2429}], \"links\": [{\"source\": 7744, \"target\": 19443}, {\"source\": 7744, \"target\": 115022}, {\"source\": 194466, \"target\": 5683}, {\"source\": 194466, \"target\": 37892}, {\"source\": 194466, \"target\": 19443}, {\"source\": 194466, \"target\": 364524}, {\"source\": 194466, \"target\": 435158}, {\"source\": 37892, \"target\": 5683}, {\"source\": 37892, \"target\": 19443}, {\"source\": 37892, \"target\": 58255}, {\"source\": 37892, \"target\": 151597}, {\"source\": 3108, \"target\": 19443}, {\"source\": 3108, \"target\": 5683}, {\"source\": 364524, \"target\": 5683}, {\"source\": 151597, \"target\": 5683}, {\"source\": 151597, \"target\": 24376}, {\"source\": 151597, \"target\": 58255}, {\"source\": 115022, \"target\": 5683}, {\"source\": 58255, \"target\": 5683}, {\"source\": 58255, \"target\": 24376}, {\"source\": 58255, \"target\": 19443}, {\"source\": 5683, \"target\": 2429}, {\"source\": 5683, \"target\": 19443}, {\"source\": 5683, \"target\": 24376}, {\"source\": 5683, \"target\": 435158}, {\"source\": 19443, \"target\": 24376}]}",
"id": 1428,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xi Zhang, Natashia Boland, Karthikeyan Sankaralingam, Chita R. Das, Jafar Habibi, Rathijit Sen, Pedro López, David G. Lowe, Farshad Safaei, Mahmood Fathy, Ion Stoica, Hadi Esmaeilzadeh, Ahmad Khonsari, Behrouz Minaei-Bidgoli\n- Research collaborations between these authors: Xi Zhang and Ion Stoica, Xi Zhang and David G. Lowe, Karthikeyan Sankaralingam and Mahmood Fathy, Karthikeyan Sankaralingam and Chita R. Das, Karthikeyan Sankaralingam and Ion Stoica, Karthikeyan Sankaralingam and Rathijit Sen, Karthikeyan Sankaralingam and Hadi Esmaeilzadeh, Chita R. Das and Mahmood Fathy, Chita R. Das and Ion Stoica, Chita R. Das and Farshad Safaei, Chita R. Das and Pedro López, Jafar Habibi and Ion Stoica, Jafar Habibi and Mahmood Fathy, Rathijit Sen and Mahmood Fathy, Pedro López and Mahmood Fathy, Pedro López and Ahmad Khonsari, Pedro López and Farshad Safaei, David G. Lowe and Mahmood Fathy, Farshad Safaei and Mahmood Fathy, Farshad Safaei and Ahmad Khonsari, Farshad Safaei and Ion Stoica, Mahmood Fathy and Behrouz Minaei-Bidgoli, Mahmood Fathy and Ion Stoica, Mahmood Fathy and Ahmad Khonsari, Mahmood Fathy and Hadi Esmaeilzadeh, Ion Stoica and Ahmad Khonsari.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jocelyn Chanussot, Mariella Dimiccoli, Ross B. Girshick, Marc Bolaños, Maite Garolera, Cathal Gurrin, Noel E. O'Connor, James M. Rehg, Aiden R. Doherty, Antoni Buades, Lionel Moisan, Philippe Salembier, Jean-Michel Morel, Sergio Guadarrama\n- Research collaborations between these authors: Jocelyn Chanussot and Philippe Salembier, Jocelyn Chanussot and Mariella Dimiccoli, Jocelyn Chanussot and Antoni Buades, Mariella Dimiccoli and Philippe Salembier, Mariella Dimiccoli and Marc Bolaños, Mariella Dimiccoli and Cathal Gurrin, Mariella Dimiccoli and Noel E. O'Connor, Mariella Dimiccoli and Aiden R. Doherty, Mariella Dimiccoli and Sergio Guadarrama, Mariella Dimiccoli and James M. Rehg, Mariella Dimiccoli and Ross B. Girshick, Mariella Dimiccoli and Lionel Moisan, Mariella Dimiccoli and Jean-Michel Morel, Mariella Dimiccoli and Maite Garolera, Mariella Dimiccoli and Antoni Buades, Ross B. Girshick and Noel E. O'Connor, Ross B. Girshick and Sergio Guadarrama, Ross B. Girshick and James M. Rehg, Ross B. Girshick and Marc Bolaños, Marc Bolaños and Aiden R. Doherty, Marc Bolaños and Sergio Guadarrama, Marc Bolaños and James M. Rehg, Marc Bolaños and Maite Garolera, Maite Garolera and Aiden R. Doherty, Cathal Gurrin and Noel E. O'Connor, Cathal Gurrin and Aiden R. Doherty, Noel E. O'Connor and Aiden R. Doherty, Noel E. O'Connor and Sergio Guadarrama, Antoni Buades and Philippe Salembier, Antoni Buades and Lionel Moisan, Antoni Buades and Jean-Michel Morel, Lionel Moisan and Jean-Michel Morel, Philippe Salembier and Jean-Michel Morel.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Mariella Dimiccoli\", \"id\": 213155}, {\"name\": \"Ross B. Girshick\", \"id\": 63749}, {\"name\": \"Marc Bola\\u00f1os\", \"id\": 208425}, {\"name\": \"Maite Garolera\", \"id\": 208426}, {\"name\": \"Sergio Guadarrama\", \"id\": 45535}, {\"name\": \"Cathal Gurrin\", \"id\": 2957}, {\"name\": \"Noel E. O'Connor\", \"id\": 2958}, {\"name\": \"James M. Rehg\", \"id\": 45681}, {\"name\": \"Aiden R. Doherty\", \"id\": 15763}, {\"name\": \"Antoni Buades\", \"id\": 271540}, {\"name\": \"Lionel Moisan\", \"id\": 93311}, {\"name\": \"Philippe Salembier\", \"id\": 86393}, {\"name\": \"Jean-Michel Morel\", \"id\": 100958}, {\"name\": \"Jocelyn Chanussot\", \"id\": 131231}], \"links\": [{\"source\": 213155, \"target\": 86393}, {\"source\": 213155, \"target\": 131231}, {\"source\": 213155, \"target\": 208425}, {\"source\": 213155, \"target\": 2957}, {\"source\": 213155, \"target\": 2958}, {\"source\": 213155, \"target\": 15763}, {\"source\": 213155, \"target\": 45535}, {\"source\": 213155, \"target\": 45681}, {\"source\": 213155, \"target\": 63749}, {\"source\": 213155, \"target\": 93311}, {\"source\": 213155, \"target\": 100958}, {\"source\": 213155, \"target\": 208426}, {\"source\": 213155, \"target\": 271540}, {\"source\": 63749, \"target\": 2958}, {\"source\": 63749, \"target\": 45535}, {\"source\": 63749, \"target\": 45681}, {\"source\": 63749, \"target\": 208425}, {\"source\": 208425, \"target\": 15763}, {\"source\": 208425, \"target\": 45535}, {\"source\": 208425, \"target\": 45681}, {\"source\": 208425, \"target\": 208426}, {\"source\": 208426, \"target\": 15763}, {\"source\": 45535, \"target\": 2958}, {\"source\": 2957, \"target\": 2958}, {\"source\": 2957, \"target\": 15763}, {\"source\": 2958, \"target\": 15763}, {\"source\": 271540, \"target\": 86393}, {\"source\": 271540, \"target\": 93311}, {\"source\": 271540, \"target\": 100958}, {\"source\": 271540, \"target\": 131231}, {\"source\": 93311, \"target\": 100958}, {\"source\": 86393, \"target\": 100958}, {\"source\": 86393, \"target\": 131231}]}",
"id": 2219,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jocelyn Chanussot, Mariella Dimiccoli, Ross B. Girshick, Marc Bolaños, Maite Garolera, Cathal Gurrin, Noel E. O'Connor, James M. Rehg, Aiden R. Doherty, Antoni Buades, Lionel Moisan, Philippe Salembier, Jean-Michel Morel, Sergio Guadarrama\n- Research collaborations between these authors: Jocelyn Chanussot and Philippe Salembier, Jocelyn Chanussot and Mariella Dimiccoli, Jocelyn Chanussot and Antoni Buades, Mariella Dimiccoli and Philippe Salembier, Mariella Dimiccoli and Marc Bolaños, Mariella Dimiccoli and Cathal Gurrin, Mariella Dimiccoli and Noel E. O'Connor, Mariella Dimiccoli and Aiden R. Doherty, Mariella Dimiccoli and Sergio Guadarrama, Mariella Dimiccoli and James M. Rehg, Mariella Dimiccoli and Ross B. Girshick, Mariella Dimiccoli and Lionel Moisan, Mariella Dimiccoli and Jean-Michel Morel, Mariella Dimiccoli and Maite Garolera, Mariella Dimiccoli and Antoni Buades, Ross B. Girshick and Noel E. O'Connor, Ross B. Girshick and Sergio Guadarrama, Ross B. Girshick and James M. Rehg, Ross B. Girshick and Marc Bolaños, Marc Bolaños and Aiden R. Doherty, Marc Bolaños and Sergio Guadarrama, Marc Bolaños and James M. Rehg, Marc Bolaños and Maite Garolera, Maite Garolera and Aiden R. Doherty, Cathal Gurrin and Noel E. O'Connor, Cathal Gurrin and Aiden R. Doherty, Noel E. O'Connor and Aiden R. Doherty, Noel E. O'Connor and Sergio Guadarrama, Antoni Buades and Philippe Salembier, Antoni Buades and Lionel Moisan, Antoni Buades and Jean-Michel Morel, Lionel Moisan and Jean-Michel Morel, Philippe Salembier and Jean-Michel Morel.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hermann Kaufmann, Karl Segl, Marco Heurich, Sebastian van der Linden, Andreas Rabe, Joachim Hill, Henning Buddenbaum, Angela Lausch, Marcel Schwieder, Patrick Hostert, Bernhard Sang, Johannes Stoffels, Andrew K. Skidmore, Luis Guanter\n- Research collaborations between these authors: Hermann Kaufmann and Sebastian van der Linden, Hermann Kaufmann and Andreas Rabe, Hermann Kaufmann and Marcel Schwieder, Hermann Kaufmann and Patrick Hostert, Hermann Kaufmann and Luis Guanter, Hermann Kaufmann and Karl Segl, Hermann Kaufmann and Joachim Hill, Hermann Kaufmann and Henning Buddenbaum, Hermann Kaufmann and Bernhard Sang, Hermann Kaufmann and Johannes Stoffels, Hermann Kaufmann and Angela Lausch, Karl Segl and Marco Heurich, Karl Segl and Sebastian van der Linden, Karl Segl and Andreas Rabe, Karl Segl and Marcel Schwieder, Karl Segl and Patrick Hostert, Karl Segl and Luis Guanter, Karl Segl and Bernhard Sang, Karl Segl and Angela Lausch, Karl Segl and Joachim Hill, Karl Segl and Henning Buddenbaum, Karl Segl and Johannes Stoffels, Marco Heurich and Patrick Hostert, Marco Heurich and Joachim Hill, Marco Heurich and Henning Buddenbaum, Marco Heurich and Andrew K. Skidmore, Marco Heurich and Angela Lausch, Sebastian van der Linden and Andreas Rabe, Sebastian van der Linden and Marcel Schwieder, Sebastian van der Linden and Patrick Hostert, Sebastian van der Linden and Luis Guanter, Andreas Rabe and Marcel Schwieder, Andreas Rabe and Patrick Hostert, Andreas Rabe and Luis Guanter, Joachim Hill and Marcel Schwieder, Joachim Hill and Patrick Hostert, Joachim Hill and Luis Guanter, Joachim Hill and Henning Buddenbaum, Joachim Hill and Bernhard Sang, Joachim Hill and Johannes Stoffels, Joachim Hill and Andrew K. Skidmore, Joachim Hill and Angela Lausch, Henning Buddenbaum and Marcel Schwieder, Henning Buddenbaum and Patrick Hostert, Henning Buddenbaum and Luis Guanter, Henning Buddenbaum and Bernhard Sang, Henning Buddenbaum and Johannes Stoffels, Henning Buddenbaum and Andrew K. Skidmore, Henning Buddenbaum and Angela Lausch, Angela Lausch and Luis Guanter, Angela Lausch and Patrick Hostert, Angela Lausch and Andrew K. Skidmore, Marcel Schwieder and Patrick Hostert, Marcel Schwieder and Bernhard Sang, Patrick Hostert and Luis Guanter, Patrick Hostert and Bernhard Sang, Bernhard Sang and Luis Guanter, Johannes Stoffels and Luis Guanter.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hermann Kaufmann\", \"id\": 425536}, {\"name\": \"Karl Segl\", \"id\": 425537}, {\"name\": \"Johannes Stoffels\", \"id\": 453946}, {\"name\": \"Sebastian van der Linden\", \"id\": 422254}, {\"name\": \"Andreas Rabe\", \"id\": 422255}, {\"name\": \"Joachim Hill\", \"id\": 425553}, {\"name\": \"Henning Buddenbaum\", \"id\": 425554}, {\"name\": \"Angela Lausch\", \"id\": 644177}, {\"name\": \"Marcel Schwieder\", \"id\": 422260}, {\"name\": \"Patrick Hostert\", \"id\": 422262}, {\"name\": \"Bernhard Sang\", \"id\": 425561}, {\"name\": \"Marco Heurich\", \"id\": 401626}, {\"name\": \"Andrew K. Skidmore\", \"id\": 466301}, {\"name\": \"Luis Guanter\", \"id\": 425535}], \"links\": [{\"source\": 425536, \"target\": 422254}, {\"source\": 425536, \"target\": 422255}, {\"source\": 425536, \"target\": 422260}, {\"source\": 425536, \"target\": 422262}, {\"source\": 425536, \"target\": 425535}, {\"source\": 425536, \"target\": 425537}, {\"source\": 425536, \"target\": 425553}, {\"source\": 425536, \"target\": 425554}, {\"source\": 425536, \"target\": 425561}, {\"source\": 425536, \"target\": 453946}, {\"source\": 425536, \"target\": 644177}, {\"source\": 425537, \"target\": 401626}, {\"source\": 425537, \"target\": 422254}, {\"source\": 425537, \"target\": 422255}, {\"source\": 425537, \"target\": 422260}, {\"source\": 425537, \"target\": 422262}, {\"source\": 425537, \"target\": 425535}, {\"source\": 425537, \"target\": 425561}, {\"source\": 425537, \"target\": 644177}, {\"source\": 425537, \"target\": 425553}, {\"source\": 425537, \"target\": 425554}, {\"source\": 425537, \"target\": 453946}, {\"source\": 453946, \"target\": 425535}, {\"source\": 453946, \"target\": 425553}, {\"source\": 453946, \"target\": 425554}, {\"source\": 422254, \"target\": 422255}, {\"source\": 422254, \"target\": 422260}, {\"source\": 422254, \"target\": 422262}, {\"source\": 422254, \"target\": 425535}, {\"source\": 422255, \"target\": 422260}, {\"source\": 422255, \"target\": 422262}, {\"source\": 422255, \"target\": 425535}, {\"source\": 425553, \"target\": 401626}, {\"source\": 425553, \"target\": 422260}, {\"source\": 425553, \"target\": 422262}, {\"source\": 425553, \"target\": 425535}, {\"source\": 425553, \"target\": 425554}, {\"source\": 425553, \"target\": 425561}, {\"source\": 425553, \"target\": 466301}, {\"source\": 425553, \"target\": 644177}, {\"source\": 425554, \"target\": 401626}, {\"source\": 425554, \"target\": 422260}, {\"source\": 425554, \"target\": 422262}, {\"source\": 425554, \"target\": 425535}, {\"source\": 425554, \"target\": 425561}, {\"source\": 425554, \"target\": 466301}, {\"source\": 425554, \"target\": 644177}, {\"source\": 644177, \"target\": 401626}, {\"source\": 644177, \"target\": 425535}, {\"source\": 644177, \"target\": 422262}, {\"source\": 644177, \"target\": 466301}, {\"source\": 422260, \"target\": 422262}, {\"source\": 422260, \"target\": 425561}, {\"source\": 422262, \"target\": 401626}, {\"source\": 422262, \"target\": 425535}, {\"source\": 422262, \"target\": 425561}, {\"source\": 425561, \"target\": 425535}, {\"source\": 401626, \"target\": 466301}]}",
"id": 1171,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hermann Kaufmann, Karl Segl, Marco Heurich, Sebastian van der Linden, Andreas Rabe, Joachim Hill, Henning Buddenbaum, Angela Lausch, Marcel Schwieder, Patrick Hostert, Bernhard Sang, Johannes Stoffels, Andrew K. Skidmore, Luis Guanter\n- Research collaborations between these authors: Hermann Kaufmann and Sebastian van der Linden, Hermann Kaufmann and Andreas Rabe, Hermann Kaufmann and Marcel Schwieder, Hermann Kaufmann and Patrick Hostert, Hermann Kaufmann and Luis Guanter, Hermann Kaufmann and Karl Segl, Hermann Kaufmann and Joachim Hill, Hermann Kaufmann and Henning Buddenbaum, Hermann Kaufmann and Bernhard Sang, Hermann Kaufmann and Johannes Stoffels, Hermann Kaufmann and Angela Lausch, Karl Segl and Marco Heurich, Karl Segl and Sebastian van der Linden, Karl Segl and Andreas Rabe, Karl Segl and Marcel Schwieder, Karl Segl and Patrick Hostert, Karl Segl and Luis Guanter, Karl Segl and Bernhard Sang, Karl Segl and Angela Lausch, Karl Segl and Joachim Hill, Karl Segl and Henning Buddenbaum, Karl Segl and Johannes Stoffels, Marco Heurich and Patrick Hostert, Marco Heurich and Joachim Hill, Marco Heurich and Henning Buddenbaum, Marco Heurich and Andrew K. Skidmore, Marco Heurich and Angela Lausch, Sebastian van der Linden and Andreas Rabe, Sebastian van der Linden and Marcel Schwieder, Sebastian van der Linden and Patrick Hostert, Sebastian van der Linden and Luis Guanter, Andreas Rabe and Marcel Schwieder, Andreas Rabe and Patrick Hostert, Andreas Rabe and Luis Guanter, Joachim Hill and Marcel Schwieder, Joachim Hill and Patrick Hostert, Joachim Hill and Luis Guanter, Joachim Hill and Henning Buddenbaum, Joachim Hill and Bernhard Sang, Joachim Hill and Johannes Stoffels, Joachim Hill and Andrew K. Skidmore, Joachim Hill and Angela Lausch, Henning Buddenbaum and Marcel Schwieder, Henning Buddenbaum and Patrick Hostert, Henning Buddenbaum and Luis Guanter, Henning Buddenbaum and Bernhard Sang, Henning Buddenbaum and Johannes Stoffels, Henning Buddenbaum and Andrew K. Skidmore, Henning Buddenbaum and Angela Lausch, Angela Lausch and Luis Guanter, Angela Lausch and Patrick Hostert, Angela Lausch and Andrew K. Skidmore, Marcel Schwieder and Patrick Hostert, Marcel Schwieder and Bernhard Sang, Patrick Hostert and Luis Guanter, Patrick Hostert and Bernhard Sang, Bernhard Sang and Luis Guanter, Johannes Stoffels and Luis Guanter.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bilan Zhu, Masaki Nakagawa, Xinwen Hou, Horst Bunke, Jingdong Wang, A. G. Ramakrishnan, Faisal Shafait, Da-Han Wang, Stefan Jaeger, Cuong Tuan Nguyen, Xiang-Dong Zhou, Marcus Liwicki, Venu Govindaraju, Cheng-Lin Liu\n- Research collaborations between these authors: Bilan Zhu and Venu Govindaraju, Bilan Zhu and Cheng-Lin Liu, Bilan Zhu and Masaki Nakagawa, Bilan Zhu and A. G. Ramakrishnan, Bilan Zhu and Horst Bunke, Bilan Zhu and Marcus Liwicki, Bilan Zhu and Stefan Jaeger, Bilan Zhu and Da-Han Wang, Bilan Zhu and Xiang-Dong Zhou, Bilan Zhu and Cuong Tuan Nguyen, Masaki Nakagawa and Venu Govindaraju, Masaki Nakagawa and Horst Bunke, Masaki Nakagawa and Marcus Liwicki, Masaki Nakagawa and Cheng-Lin Liu, Masaki Nakagawa and Stefan Jaeger, Masaki Nakagawa and Da-Han Wang, Masaki Nakagawa and Cuong Tuan Nguyen, Masaki Nakagawa and Xiang-Dong Zhou, Masaki Nakagawa and A. G. Ramakrishnan, Xinwen Hou and Cheng-Lin Liu, Xinwen Hou and Da-Han Wang, Horst Bunke and Faisal Shafait, Horst Bunke and Venu Govindaraju, Horst Bunke and Marcus Liwicki, Horst Bunke and Cheng-Lin Liu, Horst Bunke and Stefan Jaeger, Horst Bunke and Da-Han Wang, Horst Bunke and Cuong Tuan Nguyen, Horst Bunke and Xiang-Dong Zhou, A. G. Ramakrishnan and Faisal Shafait, A. G. Ramakrishnan and Cheng-Lin Liu, A. G. Ramakrishnan and Stefan Jaeger, Faisal Shafait and Marcus Liwicki, Faisal Shafait and Cheng-Lin Liu, Faisal Shafait and Stefan Jaeger, Faisal Shafait and Venu Govindaraju, Da-Han Wang and Cheng-Lin Liu, Da-Han Wang and Venu Govindaraju, Da-Han Wang and Marcus Liwicki, Da-Han Wang and Stefan Jaeger, Da-Han Wang and Xiang-Dong Zhou, Da-Han Wang and Cuong Tuan Nguyen, Stefan Jaeger and Venu Govindaraju, Stefan Jaeger and Marcus Liwicki, Stefan Jaeger and Cheng-Lin Liu, Stefan Jaeger and Cuong Tuan Nguyen, Stefan Jaeger and Xiang-Dong Zhou, Cuong Tuan Nguyen and Marcus Liwicki, Cuong Tuan Nguyen and Cheng-Lin Liu, Cuong Tuan Nguyen and Xiang-Dong Zhou, Xiang-Dong Zhou and Cheng-Lin Liu, Xiang-Dong Zhou and Venu Govindaraju, Xiang-Dong Zhou and Marcus Liwicki, Marcus Liwicki and Venu Govindaraju, Marcus Liwicki and Cheng-Lin Liu, Venu Govindaraju and Cheng-Lin Liu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Bilan Zhu\", \"id\": 246915}, {\"name\": \"Venu Govindaraju\", \"id\": 7582}, {\"name\": \"Masaki Nakagawa\", \"id\": 89607}, {\"name\": \"Stefan Jaeger\", \"id\": 124504}, {\"name\": \"Horst Bunke\", \"id\": 11151}, {\"name\": \"A. G. Ramakrishnan\", \"id\": 110770}, {\"name\": \"Faisal Shafait\", \"id\": 6386}, {\"name\": \"Da-Han Wang\", \"id\": 335286}, {\"name\": \"Jingdong Wang\", \"id\": 17144}, {\"name\": \"Cuong Tuan Nguyen\", \"id\": 564730}, {\"name\": \"Xiang-Dong Zhou\", \"id\": 676540}, {\"name\": \"Marcus Liwicki\", \"id\": 11613}, {\"name\": \"Xinwen Hou\", \"id\": 60606}, {\"name\": \"Cheng-Lin Liu\", \"id\": 60607}], \"links\": [{\"source\": 246915, \"target\": 7582}, {\"source\": 246915, \"target\": 60607}, {\"source\": 246915, \"target\": 89607}, {\"source\": 246915, \"target\": 110770}, {\"source\": 246915, \"target\": 11151}, {\"source\": 246915, \"target\": 11613}, {\"source\": 246915, \"target\": 124504}, {\"source\": 246915, \"target\": 335286}, {\"source\": 246915, \"target\": 676540}, {\"source\": 246915, \"target\": 564730}, {\"source\": 7582, \"target\": 6386}, {\"source\": 7582, \"target\": 11151}, {\"source\": 7582, \"target\": 11613}, {\"source\": 7582, \"target\": 60607}, {\"source\": 7582, \"target\": 89607}, {\"source\": 7582, \"target\": 124504}, {\"source\": 7582, \"target\": 335286}, {\"source\": 7582, \"target\": 676540}, {\"source\": 89607, \"target\": 11151}, {\"source\": 89607, \"target\": 11613}, {\"source\": 89607, \"target\": 60607}, {\"source\": 89607, \"target\": 124504}, {\"source\": 89607, \"target\": 335286}, {\"source\": 89607, \"target\": 564730}, {\"source\": 89607, \"target\": 676540}, {\"source\": 89607, \"target\": 110770}, {\"source\": 124504, \"target\": 6386}, {\"source\": 124504, \"target\": 11151}, {\"source\": 124504, \"target\": 11613}, {\"source\": 124504, \"target\": 60607}, {\"source\": 124504, \"target\": 110770}, {\"source\": 124504, \"target\": 335286}, {\"source\": 124504, \"target\": 564730}, {\"source\": 124504, \"target\": 676540}, {\"source\": 11151, \"target\": 6386}, {\"source\": 11151, \"target\": 11613}, {\"source\": 11151, \"target\": 60607}, {\"source\": 11151, \"target\": 335286}, {\"source\": 11151, \"target\": 564730}, {\"source\": 11151, \"target\": 676540}, {\"source\": 110770, \"target\": 6386}, {\"source\": 110770, \"target\": 60607}, {\"source\": 6386, \"target\": 11613}, {\"source\": 6386, \"target\": 60607}, {\"source\": 335286, \"target\": 60607}, {\"source\": 335286, \"target\": 11613}, {\"source\": 335286, \"target\": 60606}, {\"source\": 335286, \"target\": 676540}, {\"source\": 335286, \"target\": 564730}, {\"source\": 564730, \"target\": 11613}, {\"source\": 564730, \"target\": 60607}, {\"source\": 564730, \"target\": 676540}, {\"source\": 676540, \"target\": 60607}, {\"source\": 676540, \"target\": 11613}, {\"source\": 11613, \"target\": 60607}, {\"source\": 60606, \"target\": 60607}]}",
"id": 2216,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bilan Zhu, Masaki Nakagawa, Xinwen Hou, Horst Bunke, Jingdong Wang, A. G. Ramakrishnan, Faisal Shafait, Da-Han Wang, Stefan Jaeger, Cuong Tuan Nguyen, Xiang-Dong Zhou, Marcus Liwicki, Venu Govindaraju, Cheng-Lin Liu\n- Research collaborations between these authors: Bilan Zhu and Venu Govindaraju, Bilan Zhu and Cheng-Lin Liu, Bilan Zhu and Masaki Nakagawa, Bilan Zhu and A. G. Ramakrishnan, Bilan Zhu and Horst Bunke, Bilan Zhu and Marcus Liwicki, Bilan Zhu and Stefan Jaeger, Bilan Zhu and Da-Han Wang, Bilan Zhu and Xiang-Dong Zhou, Bilan Zhu and Cuong Tuan Nguyen, Masaki Nakagawa and Venu Govindaraju, Masaki Nakagawa and Horst Bunke, Masaki Nakagawa and Marcus Liwicki, Masaki Nakagawa and Cheng-Lin Liu, Masaki Nakagawa and Stefan Jaeger, Masaki Nakagawa and Da-Han Wang, Masaki Nakagawa and Cuong Tuan Nguyen, Masaki Nakagawa and Xiang-Dong Zhou, Masaki Nakagawa and A. G. Ramakrishnan, Xinwen Hou and Cheng-Lin Liu, Xinwen Hou and Da-Han Wang, Horst Bunke and Faisal Shafait, Horst Bunke and Venu Govindaraju, Horst Bunke and Marcus Liwicki, Horst Bunke and Cheng-Lin Liu, Horst Bunke and Stefan Jaeger, Horst Bunke and Da-Han Wang, Horst Bunke and Cuong Tuan Nguyen, Horst Bunke and Xiang-Dong Zhou, A. G. Ramakrishnan and Faisal Shafait, A. G. Ramakrishnan and Cheng-Lin Liu, A. G. Ramakrishnan and Stefan Jaeger, Faisal Shafait and Marcus Liwicki, Faisal Shafait and Cheng-Lin Liu, Faisal Shafait and Stefan Jaeger, Faisal Shafait and Venu Govindaraju, Da-Han Wang and Cheng-Lin Liu, Da-Han Wang and Venu Govindaraju, Da-Han Wang and Marcus Liwicki, Da-Han Wang and Stefan Jaeger, Da-Han Wang and Xiang-Dong Zhou, Da-Han Wang and Cuong Tuan Nguyen, Stefan Jaeger and Venu Govindaraju, Stefan Jaeger and Marcus Liwicki, Stefan Jaeger and Cheng-Lin Liu, Stefan Jaeger and Cuong Tuan Nguyen, Stefan Jaeger and Xiang-Dong Zhou, Cuong Tuan Nguyen and Marcus Liwicki, Cuong Tuan Nguyen and Cheng-Lin Liu, Cuong Tuan Nguyen and Xiang-Dong Zhou, Xiang-Dong Zhou and Cheng-Lin Liu, Xiang-Dong Zhou and Venu Govindaraju, Xiang-Dong Zhou and Marcus Liwicki, Marcus Liwicki and Venu Govindaraju, Marcus Liwicki and Cheng-Lin Liu, Venu Govindaraju and Cheng-Lin Liu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Tam T. Nguyen, Giovanni Yoko Kristianto, Josef B. Baker, Zhi Tang, Xiaofan Lin, Andrew McCallum, C. Lee Giles, Kun Bai, Yuehan Wang, Jean-Luc Bloechle, Rolf Ingold, Liangcai Gao, Thomas M. Breuel, Hung-Yu Kao\n- Research collaborations between these authors: Tam T. Nguyen and Zhi Tang, Tam T. Nguyen and Liangcai Gao, Giovanni Yoko Kristianto and Zhi Tang, Giovanni Yoko Kristianto and Liangcai Gao, Josef B. Baker and Zhi Tang, Josef B. Baker and Liangcai Gao, Josef B. Baker and Xiaofan Lin, Zhi Tang and Thomas M. Breuel, Zhi Tang and C. Lee Giles, Zhi Tang and Andrew McCallum, Zhi Tang and Hung-Yu Kao, Zhi Tang and Kun Bai, Zhi Tang and Liangcai Gao, Zhi Tang and Rolf Ingold, Zhi Tang and Xiaofan Lin, Zhi Tang and Jean-Luc Bloechle, Zhi Tang and Yuehan Wang, Xiaofan Lin and C. Lee Giles, Xiaofan Lin and Liangcai Gao, Xiaofan Lin and Hung-Yu Kao, Andrew McCallum and C. Lee Giles, Andrew McCallum and Hung-Yu Kao, Andrew McCallum and Kun Bai, Andrew McCallum and Liangcai Gao, C. Lee Giles and Kun Bai, C. Lee Giles and Liangcai Gao, Kun Bai and Liangcai Gao, Yuehan Wang and Liangcai Gao, Jean-Luc Bloechle and Liangcai Gao, Jean-Luc Bloechle and Rolf Ingold, Rolf Ingold and Liangcai Gao, Rolf Ingold and Thomas M. Breuel, Liangcai Gao and Thomas M. Breuel, Liangcai Gao and Hung-Yu Kao.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Tam T. Nguyen\", \"id\": 55555}, {\"name\": \"Josef B. Baker\", \"id\": 126661}, {\"name\": \"Giovanni Yoko Kristianto\", \"id\": 161797}, {\"name\": \"Zhi Tang\", \"id\": 40456}, {\"name\": \"Xiaofan Lin\", \"id\": 235050}, {\"name\": \"Andrew McCallum\", \"id\": 17613}, {\"name\": \"C. Lee Giles\", \"id\": 14128}, {\"name\": \"Kun Bai\", \"id\": 32435}, {\"name\": \"Yuehan Wang\", \"id\": 931252}, {\"name\": \"Jean-Luc Bloechle\", \"id\": 239859}, {\"name\": \"Rolf Ingold\", \"id\": 176886}, {\"name\": \"Liangcai Gao\", \"id\": 144055}, {\"name\": \"Thomas M. Breuel\", \"id\": 6390}, {\"name\": \"Hung-Yu Kao\", \"id\": 22267}], \"links\": [{\"source\": 55555, \"target\": 40456}, {\"source\": 55555, \"target\": 144055}, {\"source\": 126661, \"target\": 40456}, {\"source\": 126661, \"target\": 144055}, {\"source\": 126661, \"target\": 235050}, {\"source\": 161797, \"target\": 40456}, {\"source\": 161797, \"target\": 144055}, {\"source\": 40456, \"target\": 6390}, {\"source\": 40456, \"target\": 14128}, {\"source\": 40456, \"target\": 17613}, {\"source\": 40456, \"target\": 22267}, {\"source\": 40456, \"target\": 32435}, {\"source\": 40456, \"target\": 144055}, {\"source\": 40456, \"target\": 176886}, {\"source\": 40456, \"target\": 235050}, {\"source\": 40456, \"target\": 239859}, {\"source\": 40456, \"target\": 931252}, {\"source\": 235050, \"target\": 14128}, {\"source\": 235050, \"target\": 144055}, {\"source\": 235050, \"target\": 22267}, {\"source\": 17613, \"target\": 14128}, {\"source\": 17613, \"target\": 22267}, {\"source\": 17613, \"target\": 32435}, {\"source\": 17613, \"target\": 144055}, {\"source\": 14128, \"target\": 32435}, {\"source\": 14128, \"target\": 144055}, {\"source\": 32435, \"target\": 144055}, {\"source\": 931252, \"target\": 144055}, {\"source\": 239859, \"target\": 144055}, {\"source\": 239859, \"target\": 176886}, {\"source\": 176886, \"target\": 144055}, {\"source\": 176886, \"target\": 6390}, {\"source\": 144055, \"target\": 6390}, {\"source\": 144055, \"target\": 22267}]}",
"id": 478,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Tam T. Nguyen, Giovanni Yoko Kristianto, Josef B. Baker, Zhi Tang, Xiaofan Lin, Andrew McCallum, C. Lee Giles, Kun Bai, Yuehan Wang, Jean-Luc Bloechle, Rolf Ingold, Liangcai Gao, Thomas M. Breuel, Hung-Yu Kao\n- Research collaborations between these authors: Tam T. Nguyen and Zhi Tang, Tam T. Nguyen and Liangcai Gao, Giovanni Yoko Kristianto and Zhi Tang, Giovanni Yoko Kristianto and Liangcai Gao, Josef B. Baker and Zhi Tang, Josef B. Baker and Liangcai Gao, Josef B. Baker and Xiaofan Lin, Zhi Tang and Thomas M. Breuel, Zhi Tang and C. Lee Giles, Zhi Tang and Andrew McCallum, Zhi Tang and Hung-Yu Kao, Zhi Tang and Kun Bai, Zhi Tang and Liangcai Gao, Zhi Tang and Rolf Ingold, Zhi Tang and Xiaofan Lin, Zhi Tang and Jean-Luc Bloechle, Zhi Tang and Yuehan Wang, Xiaofan Lin and C. Lee Giles, Xiaofan Lin and Liangcai Gao, Xiaofan Lin and Hung-Yu Kao, Andrew McCallum and C. Lee Giles, Andrew McCallum and Hung-Yu Kao, Andrew McCallum and Kun Bai, Andrew McCallum and Liangcai Gao, C. Lee Giles and Kun Bai, C. Lee Giles and Liangcai Gao, Kun Bai and Liangcai Gao, Yuehan Wang and Liangcai Gao, Jean-Luc Bloechle and Liangcai Gao, Jean-Luc Bloechle and Rolf Ingold, Rolf Ingold and Liangcai Gao, Rolf Ingold and Thomas M. Breuel, Liangcai Gao and Thomas M. Breuel, Liangcai Gao and Hung-Yu Kao.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Yakov Babichenko, Daniel A. Spielman, Ronitt Rubinfeld, Vahab S. Mirrokni, Reut Levi, Aviad Rubinstein, Paul G. Spirakis, Laurent Viennot, David Kempe, Robert Krauthgamer, Shang-Hua Teng, Mark Braverman, Johann Eder, Michael Brautbar\n- Research collaborations between these authors: Yakov Babichenko and Shang-Hua Teng, Yakov Babichenko and Aviad Rubinstein, Daniel A. Spielman and Vahab S. Mirrokni, Daniel A. Spielman and Shang-Hua Teng, Daniel A. Spielman and Robert Krauthgamer, Daniel A. Spielman and Ronitt Rubinfeld, Ronitt Rubinfeld and Robert Krauthgamer, Ronitt Rubinfeld and Vahab S. Mirrokni, Ronitt Rubinfeld and Shang-Hua Teng, Ronitt Rubinfeld and Aviad Rubinstein, Ronitt Rubinfeld and Reut Levi, Vahab S. Mirrokni and Paul G. Spirakis, Vahab S. Mirrokni and Shang-Hua Teng, Vahab S. Mirrokni and David Kempe, Vahab S. Mirrokni and Aviad Rubinstein, Reut Levi and Shang-Hua Teng, Reut Levi and Aviad Rubinstein, Aviad Rubinstein and Shang-Hua Teng, Paul G. Spirakis and Shang-Hua Teng, Paul G. Spirakis and David Kempe, Laurent Viennot and Shang-Hua Teng, David Kempe and Shang-Hua Teng, Robert Krauthgamer and Shang-Hua Teng, Shang-Hua Teng and Mark Braverman, Shang-Hua Teng and Michael Brautbar.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Yakov Babichenko\", \"id\": 32162}, {\"name\": \"Daniel A. Spielman\", \"id\": 70179}, {\"name\": \"Ronitt Rubinfeld\", \"id\": 144803}, {\"name\": \"Vahab S. Mirrokni\", \"id\": 3913}, {\"name\": \"Reut Levi\", \"id\": 295403}, {\"name\": \"Aviad Rubinstein\", \"id\": 209260}, {\"name\": \"Paul G. Spirakis\", \"id\": 14415}, {\"name\": \"Laurent Viennot\", \"id\": 165489}, {\"name\": \"David Kempe\", \"id\": 91250}, {\"name\": \"Robert Krauthgamer\", \"id\": 106388}, {\"name\": \"Shang-Hua Teng\", \"id\": 23157}, {\"name\": \"Mark Braverman\", \"id\": 21143}, {\"name\": \"Johann Eder\", \"id\": 3356}, {\"name\": \"Michael Brautbar\", \"id\": 205054}], \"links\": [{\"source\": 32162, \"target\": 23157}, {\"source\": 32162, \"target\": 209260}, {\"source\": 70179, \"target\": 3913}, {\"source\": 70179, \"target\": 23157}, {\"source\": 70179, \"target\": 106388}, {\"source\": 70179, \"target\": 144803}, {\"source\": 144803, \"target\": 106388}, {\"source\": 144803, \"target\": 3913}, {\"source\": 144803, \"target\": 23157}, {\"source\": 144803, \"target\": 209260}, {\"source\": 144803, \"target\": 295403}, {\"source\": 3913, \"target\": 14415}, {\"source\": 3913, \"target\": 23157}, {\"source\": 3913, \"target\": 91250}, {\"source\": 3913, \"target\": 209260}, {\"source\": 295403, \"target\": 23157}, {\"source\": 295403, \"target\": 209260}, {\"source\": 209260, \"target\": 23157}, {\"source\": 14415, \"target\": 23157}, {\"source\": 14415, \"target\": 91250}, {\"source\": 165489, \"target\": 23157}, {\"source\": 91250, \"target\": 23157}, {\"source\": 106388, \"target\": 23157}, {\"source\": 23157, \"target\": 21143}, {\"source\": 23157, \"target\": 205054}]}",
"id": 1753,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Yakov Babichenko, Daniel A. Spielman, Ronitt Rubinfeld, Vahab S. Mirrokni, Reut Levi, Aviad Rubinstein, Paul G. Spirakis, Laurent Viennot, David Kempe, Robert Krauthgamer, Shang-Hua Teng, Mark Braverman, Johann Eder, Michael Brautbar\n- Research collaborations between these authors: Yakov Babichenko and Shang-Hua Teng, Yakov Babichenko and Aviad Rubinstein, Daniel A. Spielman and Vahab S. Mirrokni, Daniel A. Spielman and Shang-Hua Teng, Daniel A. Spielman and Robert Krauthgamer, Daniel A. Spielman and Ronitt Rubinfeld, Ronitt Rubinfeld and Robert Krauthgamer, Ronitt Rubinfeld and Vahab S. Mirrokni, Ronitt Rubinfeld and Shang-Hua Teng, Ronitt Rubinfeld and Aviad Rubinstein, Ronitt Rubinfeld and Reut Levi, Vahab S. Mirrokni and Paul G. Spirakis, Vahab S. Mirrokni and Shang-Hua Teng, Vahab S. Mirrokni and David Kempe, Vahab S. Mirrokni and Aviad Rubinstein, Reut Levi and Shang-Hua Teng, Reut Levi and Aviad Rubinstein, Aviad Rubinstein and Shang-Hua Teng, Paul G. Spirakis and Shang-Hua Teng, Paul G. Spirakis and David Kempe, Laurent Viennot and Shang-Hua Teng, David Kempe and Shang-Hua Teng, Robert Krauthgamer and Shang-Hua Teng, Shang-Hua Teng and Mark Braverman, Shang-Hua Teng and Michael Brautbar.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Virginia Torczon, Joshua D. Woodbury, Luís N. Vicente, Jasper Snoek, Rommel G. Regis, Donald R. Jones, Juliane Müller, Robert Piche, Stefan M. Wild, Taimoor Akhtar, Sébastien Le Digabel, Charles Audet, Tipaluck Krityakierne, Christine A. Shoemaker\n- Research collaborations between these authors: Virginia Torczon and Stefan M. Wild, Virginia Torczon and Sébastien Le Digabel, Virginia Torczon and Luís N. Vicente, Virginia Torczon and Christine A. Shoemaker, Virginia Torczon and Charles Audet, Virginia Torczon and Rommel G. Regis, Joshua D. Woodbury and Christine A. Shoemaker, Joshua D. Woodbury and Juliane Müller, Luís N. Vicente and Stefan M. Wild, Luís N. Vicente and Sébastien Le Digabel, Luís N. Vicente and Charles Audet, Luís N. Vicente and Christine A. Shoemaker, Luís N. Vicente and Rommel G. Regis, Jasper Snoek and Donald R. Jones, Jasper Snoek and Christine A. Shoemaker, Jasper Snoek and Taimoor Akhtar, Rommel G. Regis and Robert Piche, Rommel G. Regis and Stefan M. Wild, Rommel G. Regis and Tipaluck Krityakierne, Rommel G. Regis and Christine A. Shoemaker, Rommel G. Regis and Juliane Müller, Rommel G. Regis and Charles Audet, Rommel G. Regis and Taimoor Akhtar, Donald R. Jones and Christine A. Shoemaker, Donald R. Jones and Juliane Müller, Juliane Müller and Tipaluck Krityakierne, Juliane Müller and Christine A. Shoemaker, Juliane Müller and Robert Piche, Juliane Müller and Stefan M. Wild, Juliane Müller and Sébastien Le Digabel, Juliane Müller and Charles Audet, Juliane Müller and Taimoor Akhtar, Robert Piche and Christine A. Shoemaker, Robert Piche and Charles Audet, Robert Piche and Tipaluck Krityakierne, Stefan M. Wild and Sébastien Le Digabel, Stefan M. Wild and Christine A. Shoemaker, Stefan M. Wild and Tipaluck Krityakierne, Taimoor Akhtar and Christine A. Shoemaker, Sébastien Le Digabel and Charles Audet, Charles Audet and Christine A. Shoemaker, Tipaluck Krityakierne and Christine A. Shoemaker.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"S\\u00e9bastien Le Digabel\", \"id\": 138520}, {\"name\": \"Virginia Torczon\", \"id\": 803938}, {\"name\": \"Lu\\u00eds N. Vicente\", \"id\": 276387}, {\"name\": \"Jasper Snoek\", \"id\": 309607}, {\"name\": \"Rommel G. Regis\", \"id\": 501192}, {\"name\": \"Donald R. Jones\", \"id\": 360780}, {\"name\": \"Christine A. Shoemaker\", \"id\": 471901}, {\"name\": \"Juliane M\\u00fcller\", \"id\": 488495}, {\"name\": \"Robert Piche\", \"id\": 10352}, {\"name\": \"Stefan M. Wild\", \"id\": 27442}, {\"name\": \"Taimoor Akhtar\", \"id\": 654902}, {\"name\": \"Joshua D. Woodbury\", \"id\": 1328280}, {\"name\": \"Tipaluck Krityakierne\", \"id\": 471900}, {\"name\": \"Charles Audet\", \"id\": 478493}], \"links\": [{\"source\": 138520, \"target\": 27442}, {\"source\": 138520, \"target\": 276387}, {\"source\": 138520, \"target\": 478493}, {\"source\": 138520, \"target\": 803938}, {\"source\": 138520, \"target\": 488495}, {\"source\": 803938, \"target\": 27442}, {\"source\": 803938, \"target\": 276387}, {\"source\": 803938, \"target\": 471901}, {\"source\": 803938, \"target\": 478493}, {\"source\": 803938, \"target\": 501192}, {\"source\": 276387, \"target\": 27442}, {\"source\": 276387, \"target\": 478493}, {\"source\": 276387, \"target\": 471901}, {\"source\": 276387, \"target\": 501192}, {\"source\": 309607, \"target\": 360780}, {\"source\": 309607, \"target\": 471901}, {\"source\": 309607, \"target\": 654902}, {\"source\": 501192, \"target\": 10352}, {\"source\": 501192, \"target\": 27442}, {\"source\": 501192, \"target\": 471900}, {\"source\": 501192, \"target\": 471901}, {\"source\": 501192, \"target\": 488495}, {\"source\": 501192, \"target\": 478493}, {\"source\": 501192, \"target\": 654902}, {\"source\": 360780, \"target\": 471901}, {\"source\": 360780, \"target\": 488495}, {\"source\": 471901, \"target\": 10352}, {\"source\": 471901, \"target\": 27442}, {\"source\": 471901, \"target\": 471900}, {\"source\": 471901, \"target\": 478493}, {\"source\": 471901, \"target\": 488495}, {\"source\": 471901, \"target\": 654902}, {\"source\": 471901, \"target\": 1328280}, {\"source\": 488495, \"target\": 471900}, {\"source\": 488495, \"target\": 10352}, {\"source\": 488495, \"target\": 27442}, {\"source\": 488495, \"target\": 478493}, {\"source\": 488495, \"target\": 654902}, {\"source\": 488495, \"target\": 1328280}, {\"source\": 10352, \"target\": 478493}, {\"source\": 10352, \"target\": 471900}, {\"source\": 27442, \"target\": 471900}]}",
"id": 1588,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Virginia Torczon, Joshua D. Woodbury, Luís N. Vicente, Jasper Snoek, Rommel G. Regis, Donald R. Jones, Juliane Müller, Robert Piche, Stefan M. Wild, Taimoor Akhtar, Sébastien Le Digabel, Charles Audet, Tipaluck Krityakierne, Christine A. Shoemaker\n- Research collaborations between these authors: Virginia Torczon and Stefan M. Wild, Virginia Torczon and Sébastien Le Digabel, Virginia Torczon and Luís N. Vicente, Virginia Torczon and Christine A. Shoemaker, Virginia Torczon and Charles Audet, Virginia Torczon and Rommel G. Regis, Joshua D. Woodbury and Christine A. Shoemaker, Joshua D. Woodbury and Juliane Müller, Luís N. Vicente and Stefan M. Wild, Luís N. Vicente and Sébastien Le Digabel, Luís N. Vicente and Charles Audet, Luís N. Vicente and Christine A. Shoemaker, Luís N. Vicente and Rommel G. Regis, Jasper Snoek and Donald R. Jones, Jasper Snoek and Christine A. Shoemaker, Jasper Snoek and Taimoor Akhtar, Rommel G. Regis and Robert Piche, Rommel G. Regis and Stefan M. Wild, Rommel G. Regis and Tipaluck Krityakierne, Rommel G. Regis and Christine A. Shoemaker, Rommel G. Regis and Juliane Müller, Rommel G. Regis and Charles Audet, Rommel G. Regis and Taimoor Akhtar, Donald R. Jones and Christine A. Shoemaker, Donald R. Jones and Juliane Müller, Juliane Müller and Tipaluck Krityakierne, Juliane Müller and Christine A. Shoemaker, Juliane Müller and Robert Piche, Juliane Müller and Stefan M. Wild, Juliane Müller and Sébastien Le Digabel, Juliane Müller and Charles Audet, Juliane Müller and Taimoor Akhtar, Robert Piche and Christine A. Shoemaker, Robert Piche and Charles Audet, Robert Piche and Tipaluck Krityakierne, Stefan M. Wild and Sébastien Le Digabel, Stefan M. Wild and Christine A. Shoemaker, Stefan M. Wild and Tipaluck Krityakierne, Taimoor Akhtar and Christine A. Shoemaker, Sébastien Le Digabel and Charles Audet, Charles Audet and Christine A. Shoemaker, Tipaluck Krityakierne and Christine A. Shoemaker.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jun Yang, Sungjoo Yoo, Yuan Xie, Hyung Gyu Lee, Sangyeun Cho, Rami G. Melhem, Babak Falsafi, Bruce R. Childers, Yongjun Lee, Hsiang-Pang Li, Kartik Mohanram, Youtao Zhang, Jung Ho Ahn, Sheng Li\n- Research collaborations between these authors: Jun Yang and Youtao Zhang, Jun Yang and Bruce R. Childers, Jun Yang and Yuan Xie, Jun Yang and Sangyeun Cho, Jun Yang and Rami G. Melhem, Jun Yang and Babak Falsafi, Jun Yang and Yongjun Lee, Jun Yang and Jung Ho Ahn, Jun Yang and Sungjoo Yoo, Jun Yang and Kartik Mohanram, Jun Yang and Hsiang-Pang Li, Sungjoo Yoo and Sheng Li, Sungjoo Yoo and Youtao Zhang, Sungjoo Yoo and Bruce R. Childers, Sungjoo Yoo and Yuan Xie, Sungjoo Yoo and Sangyeun Cho, Sungjoo Yoo and Babak Falsafi, Sungjoo Yoo and Yongjun Lee, Sungjoo Yoo and Jung Ho Ahn, Sungjoo Yoo and Kartik Mohanram, Yuan Xie and Sheng Li, Yuan Xie and Youtao Zhang, Yuan Xie and Bruce R. Childers, Yuan Xie and Sangyeun Cho, Yuan Xie and Babak Falsafi, Yuan Xie and Kartik Mohanram, Yuan Xie and Yongjun Lee, Yuan Xie and Jung Ho Ahn, Yuan Xie and Hyung Gyu Lee, Yuan Xie and Rami G. Melhem, Hyung Gyu Lee and Youtao Zhang, Hyung Gyu Lee and Yongjun Lee, Sangyeun Cho and Youtao Zhang, Sangyeun Cho and Bruce R. Childers, Sangyeun Cho and Rami G. Melhem, Sangyeun Cho and Babak Falsafi, Sangyeun Cho and Yongjun Lee, Sangyeun Cho and Kartik Mohanram, Rami G. Melhem and Youtao Zhang, Rami G. Melhem and Bruce R. Childers, Rami G. Melhem and Babak Falsafi, Rami G. Melhem and Yongjun Lee, Rami G. Melhem and Jung Ho Ahn, Babak Falsafi and Sheng Li, Babak Falsafi and Bruce R. Childers, Babak Falsafi and Jung Ho Ahn, Babak Falsafi and Yongjun Lee, Bruce R. Childers and Youtao Zhang, Bruce R. Childers and Yongjun Lee, Bruce R. Childers and Jung Ho Ahn, Bruce R. Childers and Kartik Mohanram, Yongjun Lee and Youtao Zhang, Yongjun Lee and Kartik Mohanram, Yongjun Lee and Sheng Li, Yongjun Lee and Jung Ho Ahn, Yongjun Lee and Hsiang-Pang Li, Hsiang-Pang Li and Youtao Zhang, Kartik Mohanram and Youtao Zhang, Youtao Zhang and Jung Ho Ahn, Jung Ho Ahn and Sheng Li.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jun Yang\", \"id\": 30085}, {\"name\": \"Sungjoo Yoo\", \"id\": 199208}, {\"name\": \"Yuan Xie\", \"id\": 210475}, {\"name\": \"Hyung Gyu Lee\", \"id\": 473837}, {\"name\": \"Sangyeun Cho\", \"id\": 210479}, {\"name\": \"Rami G. Melhem\", \"id\": 251442}, {\"name\": \"Babak Falsafi\", \"id\": 279668}, {\"name\": \"Bruce R. Childers\", \"id\": 67733}, {\"name\": \"Yongjun Lee\", \"id\": 320855}, {\"name\": \"Hsiang-Pang Li\", \"id\": 410008}, {\"name\": \"Kartik Mohanram\", \"id\": 287355}, {\"name\": \"Youtao Zhang\", \"id\": 42109}, {\"name\": \"Jung Ho Ahn\", \"id\": 421278}, {\"name\": \"Sheng Li\", \"id\": 11871}], \"links\": [{\"source\": 30085, \"target\": 42109}, {\"source\": 30085, \"target\": 67733}, {\"source\": 30085, \"target\": 210475}, {\"source\": 30085, \"target\": 210479}, {\"source\": 30085, \"target\": 251442}, {\"source\": 30085, \"target\": 279668}, {\"source\": 30085, \"target\": 320855}, {\"source\": 30085, \"target\": 421278}, {\"source\": 30085, \"target\": 199208}, {\"source\": 30085, \"target\": 287355}, {\"source\": 30085, \"target\": 410008}, {\"source\": 199208, \"target\": 11871}, {\"source\": 199208, \"target\": 42109}, {\"source\": 199208, \"target\": 67733}, {\"source\": 199208, \"target\": 210475}, {\"source\": 199208, \"target\": 210479}, {\"source\": 199208, \"target\": 279668}, {\"source\": 199208, \"target\": 320855}, {\"source\": 199208, \"target\": 421278}, {\"source\": 199208, \"target\": 287355}, {\"source\": 210475, \"target\": 11871}, {\"source\": 210475, \"target\": 42109}, {\"source\": 210475, \"target\": 67733}, {\"source\": 210475, \"target\": 210479}, {\"source\": 210475, \"target\": 279668}, {\"source\": 210475, \"target\": 287355}, {\"source\": 210475, \"target\": 320855}, {\"source\": 210475, \"target\": 421278}, {\"source\": 210475, \"target\": 473837}, {\"source\": 210475, \"target\": 251442}, {\"source\": 473837, \"target\": 42109}, {\"source\": 473837, \"target\": 320855}, {\"source\": 210479, \"target\": 42109}, {\"source\": 210479, \"target\": 67733}, {\"source\": 210479, \"target\": 251442}, {\"source\": 210479, \"target\": 279668}, {\"source\": 210479, \"target\": 320855}, {\"source\": 210479, \"target\": 287355}, {\"source\": 251442, \"target\": 42109}, {\"source\": 251442, \"target\": 67733}, {\"source\": 251442, \"target\": 279668}, {\"source\": 251442, \"target\": 320855}, {\"source\": 251442, \"target\": 421278}, {\"source\": 279668, \"target\": 11871}, {\"source\": 279668, \"target\": 67733}, {\"source\": 279668, \"target\": 421278}, {\"source\": 279668, \"target\": 320855}, {\"source\": 67733, \"target\": 42109}, {\"source\": 67733, \"target\": 320855}, {\"source\": 67733, \"target\": 421278}, {\"source\": 67733, \"target\": 287355}, {\"source\": 320855, \"target\": 42109}, {\"source\": 320855, \"target\": 287355}, {\"source\": 320855, \"target\": 11871}, {\"source\": 320855, \"target\": 421278}, {\"source\": 320855, \"target\": 410008}, {\"source\": 410008, \"target\": 42109}, {\"source\": 287355, \"target\": 42109}, {\"source\": 42109, \"target\": 421278}, {\"source\": 421278, \"target\": 11871}]}",
"id": 841,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jun Yang, Sungjoo Yoo, Yuan Xie, Hyung Gyu Lee, Sangyeun Cho, Rami G. Melhem, Babak Falsafi, Bruce R. Childers, Yongjun Lee, Hsiang-Pang Li, Kartik Mohanram, Youtao Zhang, Jung Ho Ahn, Sheng Li\n- Research collaborations between these authors: Jun Yang and Youtao Zhang, Jun Yang and Bruce R. Childers, Jun Yang and Yuan Xie, Jun Yang and Sangyeun Cho, Jun Yang and Rami G. Melhem, Jun Yang and Babak Falsafi, Jun Yang and Yongjun Lee, Jun Yang and Jung Ho Ahn, Jun Yang and Sungjoo Yoo, Jun Yang and Kartik Mohanram, Jun Yang and Hsiang-Pang Li, Sungjoo Yoo and Sheng Li, Sungjoo Yoo and Youtao Zhang, Sungjoo Yoo and Bruce R. Childers, Sungjoo Yoo and Yuan Xie, Sungjoo Yoo and Sangyeun Cho, Sungjoo Yoo and Babak Falsafi, Sungjoo Yoo and Yongjun Lee, Sungjoo Yoo and Jung Ho Ahn, Sungjoo Yoo and Kartik Mohanram, Yuan Xie and Sheng Li, Yuan Xie and Youtao Zhang, Yuan Xie and Bruce R. Childers, Yuan Xie and Sangyeun Cho, Yuan Xie and Babak Falsafi, Yuan Xie and Kartik Mohanram, Yuan Xie and Yongjun Lee, Yuan Xie and Jung Ho Ahn, Yuan Xie and Hyung Gyu Lee, Yuan Xie and Rami G. Melhem, Hyung Gyu Lee and Youtao Zhang, Hyung Gyu Lee and Yongjun Lee, Sangyeun Cho and Youtao Zhang, Sangyeun Cho and Bruce R. Childers, Sangyeun Cho and Rami G. Melhem, Sangyeun Cho and Babak Falsafi, Sangyeun Cho and Yongjun Lee, Sangyeun Cho and Kartik Mohanram, Rami G. Melhem and Youtao Zhang, Rami G. Melhem and Bruce R. Childers, Rami G. Melhem and Babak Falsafi, Rami G. Melhem and Yongjun Lee, Rami G. Melhem and Jung Ho Ahn, Babak Falsafi and Sheng Li, Babak Falsafi and Bruce R. Childers, Babak Falsafi and Jung Ho Ahn, Babak Falsafi and Yongjun Lee, Bruce R. Childers and Youtao Zhang, Bruce R. Childers and Yongjun Lee, Bruce R. Childers and Jung Ho Ahn, Bruce R. Childers and Kartik Mohanram, Yongjun Lee and Youtao Zhang, Yongjun Lee and Kartik Mohanram, Yongjun Lee and Sheng Li, Yongjun Lee and Jung Ho Ahn, Yongjun Lee and Hsiang-Pang Li, Hsiang-Pang Li and Youtao Zhang, Kartik Mohanram and Youtao Zhang, Youtao Zhang and Jung Ho Ahn, Jung Ho Ahn and Sheng Li.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bisakha Ray, Joseph T. Lizier, Nicolas Brunel, Alain Destexhe, Viktor K. Jirsa, Olav Stetter, Jordi Soriano, Theo Geisel, Michael Wibral, Viola Priesemann, Stefan Rotter, Aaditya V. Rangan, David Hansel, Demian Battaglia\n- Research collaborations between these authors: Bisakha Ray and Demian Battaglia, Joseph T. Lizier and Demian Battaglia, Joseph T. Lizier and Michael Wibral, Joseph T. Lizier and Viola Priesemann, Joseph T. Lizier and Theo Geisel, Joseph T. Lizier and Olav Stetter, Joseph T. Lizier and Jordi Soriano, Nicolas Brunel and Alain Destexhe, Nicolas Brunel and Stefan Rotter, Nicolas Brunel and Viktor K. Jirsa, Nicolas Brunel and David Hansel, Nicolas Brunel and Demian Battaglia, Nicolas Brunel and Aaditya V. Rangan, Nicolas Brunel and Theo Geisel, Alain Destexhe and Stefan Rotter, Alain Destexhe and Aaditya V. Rangan, Viktor K. Jirsa and Demian Battaglia, Olav Stetter and Demian Battaglia, Jordi Soriano and Demian Battaglia, Jordi Soriano and Theo Geisel, Theo Geisel and Stefan Rotter, Theo Geisel and Demian Battaglia, Theo Geisel and Michael Wibral, Theo Geisel and Viola Priesemann, Michael Wibral and Demian Battaglia, Michael Wibral and Viola Priesemann, Viola Priesemann and Demian Battaglia, Stefan Rotter and Aaditya V. Rangan, Aaditya V. Rangan and David Hansel, Aaditya V. Rangan and Demian Battaglia, David Hansel and Demian Battaglia.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Bisakha Ray\", \"id\": 407648}, {\"name\": \"Joseph T. Lizier\", \"id\": 21665}, {\"name\": \"Nicolas Brunel\", \"id\": 108196}, {\"name\": \"Alain Destexhe\", \"id\": 3082}, {\"name\": \"Viktor K. Jirsa\", \"id\": 81581}, {\"name\": \"Olav Stetter\", \"id\": 593167}, {\"name\": \"Jordi Soriano\", \"id\": 593168}, {\"name\": \"Theo Geisel\", \"id\": 540626}, {\"name\": \"Michael Wibral\", \"id\": 421238}, {\"name\": \"Viola Priesemann\", \"id\": 421239}, {\"name\": \"Stefan Rotter\", \"id\": 26936}, {\"name\": \"Aaditya V. Rangan\", \"id\": 483993}, {\"name\": \"David Hansel\", \"id\": 241438}, {\"name\": \"Demian Battaglia\", \"id\": 259519}], \"links\": [{\"source\": 407648, \"target\": 259519}, {\"source\": 21665, \"target\": 259519}, {\"source\": 21665, \"target\": 421238}, {\"source\": 21665, \"target\": 421239}, {\"source\": 21665, \"target\": 540626}, {\"source\": 21665, \"target\": 593167}, {\"source\": 21665, \"target\": 593168}, {\"source\": 108196, \"target\": 3082}, {\"source\": 108196, \"target\": 26936}, {\"source\": 108196, \"target\": 81581}, {\"source\": 108196, \"target\": 241438}, {\"source\": 108196, \"target\": 259519}, {\"source\": 108196, \"target\": 483993}, {\"source\": 108196, \"target\": 540626}, {\"source\": 3082, \"target\": 26936}, {\"source\": 3082, \"target\": 483993}, {\"source\": 81581, \"target\": 259519}, {\"source\": 593167, \"target\": 259519}, {\"source\": 593168, \"target\": 259519}, {\"source\": 593168, \"target\": 540626}, {\"source\": 540626, \"target\": 26936}, {\"source\": 540626, \"target\": 259519}, {\"source\": 540626, \"target\": 421238}, {\"source\": 540626, \"target\": 421239}, {\"source\": 421238, \"target\": 259519}, {\"source\": 421238, \"target\": 421239}, {\"source\": 421239, \"target\": 259519}, {\"source\": 26936, \"target\": 483993}, {\"source\": 483993, \"target\": 241438}, {\"source\": 483993, \"target\": 259519}, {\"source\": 241438, \"target\": 259519}]}",
"id": 89,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bisakha Ray, Joseph T. Lizier, Nicolas Brunel, Alain Destexhe, Viktor K. Jirsa, Olav Stetter, Jordi Soriano, Theo Geisel, Michael Wibral, Viola Priesemann, Stefan Rotter, Aaditya V. Rangan, David Hansel, Demian Battaglia\n- Research collaborations between these authors: Bisakha Ray and Demian Battaglia, Joseph T. Lizier and Demian Battaglia, Joseph T. Lizier and Michael Wibral, Joseph T. Lizier and Viola Priesemann, Joseph T. Lizier and Theo Geisel, Joseph T. Lizier and Olav Stetter, Joseph T. Lizier and Jordi Soriano, Nicolas Brunel and Alain Destexhe, Nicolas Brunel and Stefan Rotter, Nicolas Brunel and Viktor K. Jirsa, Nicolas Brunel and David Hansel, Nicolas Brunel and Demian Battaglia, Nicolas Brunel and Aaditya V. Rangan, Nicolas Brunel and Theo Geisel, Alain Destexhe and Stefan Rotter, Alain Destexhe and Aaditya V. Rangan, Viktor K. Jirsa and Demian Battaglia, Olav Stetter and Demian Battaglia, Jordi Soriano and Demian Battaglia, Jordi Soriano and Theo Geisel, Theo Geisel and Stefan Rotter, Theo Geisel and Demian Battaglia, Theo Geisel and Michael Wibral, Theo Geisel and Viola Priesemann, Michael Wibral and Demian Battaglia, Michael Wibral and Viola Priesemann, Viola Priesemann and Demian Battaglia, Stefan Rotter and Aaditya V. Rangan, Aaditya V. Rangan and David Hansel, Aaditya V. Rangan and Demian Battaglia, David Hansel and Demian Battaglia.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Juan A. Gómez-Pulido, Anabela Moreira Bernardino, Eugénia Moreira Bernardino, Yun-Chia Liang, Olivier Goldschmidt, Hu-Gon Kim, Bahriye Basturk, Miguel A. Vega-Rodríguez, Juan Antonio Gómez Pulido, M. Fatih Tasgetiren, Jinjiang Yuan, Bahriye Akay, Eli V. Olinick, Juan M. Sánchez-Pérez\n- Research collaborations between these authors: Juan A. Gómez-Pulido and Miguel A. Vega-Rodríguez, Juan A. Gómez-Pulido and Juan M. Sánchez-Pérez, Juan A. Gómez-Pulido and Juan Antonio Gómez Pulido, Juan A. Gómez-Pulido and Anabela Moreira Bernardino, Juan A. Gómez-Pulido and Eugénia Moreira Bernardino, Juan A. Gómez-Pulido and M. Fatih Tasgetiren, Juan A. Gómez-Pulido and Bahriye Akay, Juan A. Gómez-Pulido and Jinjiang Yuan, Juan A. Gómez-Pulido and Yun-Chia Liang, Juan A. Gómez-Pulido and Eli V. Olinick, Juan A. Gómez-Pulido and Olivier Goldschmidt, Juan A. Gómez-Pulido and Hu-Gon Kim, Juan A. Gómez-Pulido and Bahriye Basturk, Anabela Moreira Bernardino and Miguel A. Vega-Rodríguez, Anabela Moreira Bernardino and Juan M. Sánchez-Pérez, Anabela Moreira Bernardino and Juan Antonio Gómez Pulido, Anabela Moreira Bernardino and Eugénia Moreira Bernardino, Anabela Moreira Bernardino and M. Fatih Tasgetiren, Anabela Moreira Bernardino and Bahriye Akay, Anabela Moreira Bernardino and Jinjiang Yuan, Anabela Moreira Bernardino and Yun-Chia Liang, Anabela Moreira Bernardino and Eli V. Olinick, Anabela Moreira Bernardino and Olivier Goldschmidt, Anabela Moreira Bernardino and Hu-Gon Kim, Anabela Moreira Bernardino and Bahriye Basturk, Eugénia Moreira Bernardino and Miguel A. Vega-Rodríguez, Eugénia Moreira Bernardino and Juan M. Sánchez-Pérez, Eugénia Moreira Bernardino and Juan Antonio Gómez Pulido, Eugénia Moreira Bernardino and M. Fatih Tasgetiren, Eugénia Moreira Bernardino and Bahriye Akay, Eugénia Moreira Bernardino and Jinjiang Yuan, Eugénia Moreira Bernardino and Yun-Chia Liang, Eugénia Moreira Bernardino and Eli V. Olinick, Eugénia Moreira Bernardino and Olivier Goldschmidt, Eugénia Moreira Bernardino and Hu-Gon Kim, Eugénia Moreira Bernardino and Bahriye Basturk, Yun-Chia Liang and Miguel A. Vega-Rodríguez, Yun-Chia Liang and Juan M. Sánchez-Pérez, Yun-Chia Liang and M. Fatih Tasgetiren, Yun-Chia Liang and Bahriye Basturk, Olivier Goldschmidt and Miguel A. Vega-Rodríguez, Olivier Goldschmidt and Juan M. Sánchez-Pérez, Hu-Gon Kim and Miguel A. Vega-Rodríguez, Hu-Gon Kim and Juan M. Sánchez-Pérez, Bahriye Basturk and Miguel A. Vega-Rodríguez, Bahriye Basturk and Juan M. Sánchez-Pérez, Bahriye Basturk and M. Fatih Tasgetiren, Bahriye Basturk and Bahriye Akay, Miguel A. Vega-Rodríguez and Juan M. Sánchez-Pérez, Miguel A. Vega-Rodríguez and Juan Antonio Gómez Pulido, Miguel A. Vega-Rodríguez and M. Fatih Tasgetiren, Miguel A. Vega-Rodríguez and Bahriye Akay, Miguel A. Vega-Rodríguez and Jinjiang Yuan, Miguel A. Vega-Rodríguez and Eli V. Olinick, Juan Antonio Gómez Pulido and Juan M. Sánchez-Pérez, M. Fatih Tasgetiren and Juan M. Sánchez-Pérez, M. Fatih Tasgetiren and Bahriye Akay, Jinjiang Yuan and Juan M. Sánchez-Pérez, Bahriye Akay and Juan M. Sánchez-Pérez, Eli V. Olinick and Juan M. Sánchez-Pérez.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Juan A. G\\u00f3mez-Pulido\", \"id\": 13280}, {\"name\": \"Anabela Moreira Bernardino\", \"id\": 50050}, {\"name\": \"Eug\\u00e9nia Moreira Bernardino\", \"id\": 50051}, {\"name\": \"Yun-Chia Liang\", \"id\": 290213}, {\"name\": \"Olivier Goldschmidt\", \"id\": 667816}, {\"name\": \"Hu-Gon Kim\", \"id\": 892747}, {\"name\": \"Bahriye Basturk\", \"id\": 1077325}, {\"name\": \"Miguel A. Vega-Rodr\\u00edguez\", \"id\": 11793}, {\"name\": \"Juan Antonio G\\u00f3mez Pulido\", \"id\": 42034}, {\"name\": \"M. Fatih Tasgetiren\", \"id\": 54963}, {\"name\": \"Jinjiang Yuan\", \"id\": 190424}, {\"name\": \"Bahriye Akay\", \"id\": 96859}, {\"name\": \"Eli V. Olinick\", \"id\": 555196}, {\"name\": \"Juan M. S\\u00e1nchez-P\\u00e9rez\", \"id\": 13279}], \"links\": [{\"source\": 13280, \"target\": 11793}, {\"source\": 13280, \"target\": 13279}, {\"source\": 13280, \"target\": 42034}, {\"source\": 13280, \"target\": 50050}, {\"source\": 13280, \"target\": 50051}, {\"source\": 13280, \"target\": 54963}, {\"source\": 13280, \"target\": 96859}, {\"source\": 13280, \"target\": 190424}, {\"source\": 13280, \"target\": 290213}, {\"source\": 13280, \"target\": 555196}, {\"source\": 13280, \"target\": 667816}, {\"source\": 13280, \"target\": 892747}, {\"source\": 13280, \"target\": 1077325}, {\"source\": 50050, \"target\": 11793}, {\"source\": 50050, \"target\": 13279}, {\"source\": 50050, \"target\": 42034}, {\"source\": 50050, \"target\": 50051}, {\"source\": 50050, \"target\": 54963}, {\"source\": 50050, \"target\": 96859}, {\"source\": 50050, \"target\": 190424}, {\"source\": 50050, \"target\": 290213}, {\"source\": 50050, \"target\": 555196}, {\"source\": 50050, \"target\": 667816}, {\"source\": 50050, \"target\": 892747}, {\"source\": 50050, \"target\": 1077325}, {\"source\": 50051, \"target\": 11793}, {\"source\": 50051, \"target\": 13279}, {\"source\": 50051, \"target\": 42034}, {\"source\": 50051, \"target\": 54963}, {\"source\": 50051, \"target\": 96859}, {\"source\": 50051, \"target\": 190424}, {\"source\": 50051, \"target\": 290213}, {\"source\": 50051, \"target\": 555196}, {\"source\": 50051, \"target\": 667816}, {\"source\": 50051, \"target\": 892747}, {\"source\": 50051, \"target\": 1077325}, {\"source\": 290213, \"target\": 11793}, {\"source\": 290213, \"target\": 13279}, {\"source\": 290213, \"target\": 54963}, {\"source\": 290213, \"target\": 1077325}, {\"source\": 667816, \"target\": 11793}, {\"source\": 667816, \"target\": 13279}, {\"source\": 892747, \"target\": 11793}, {\"source\": 892747, \"target\": 13279}, {\"source\": 1077325, \"target\": 11793}, {\"source\": 1077325, \"target\": 13279}, {\"source\": 1077325, \"target\": 54963}, {\"source\": 1077325, \"target\": 96859}, {\"source\": 11793, \"target\": 13279}, {\"source\": 11793, \"target\": 42034}, {\"source\": 11793, \"target\": 54963}, {\"source\": 11793, \"target\": 96859}, {\"source\": 11793, \"target\": 190424}, {\"source\": 11793, \"target\": 555196}, {\"source\": 42034, \"target\": 13279}, {\"source\": 54963, \"target\": 13279}, {\"source\": 54963, \"target\": 96859}, {\"source\": 190424, \"target\": 13279}, {\"source\": 96859, \"target\": 13279}, {\"source\": 555196, \"target\": 13279}]}",
"id": 2417,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Juan A. Gómez-Pulido, Anabela Moreira Bernardino, Eugénia Moreira Bernardino, Yun-Chia Liang, Olivier Goldschmidt, Hu-Gon Kim, Bahriye Basturk, Miguel A. Vega-Rodríguez, Juan Antonio Gómez Pulido, M. Fatih Tasgetiren, Jinjiang Yuan, Bahriye Akay, Eli V. Olinick, Juan M. Sánchez-Pérez\n- Research collaborations between these authors: Juan A. Gómez-Pulido and Miguel A. Vega-Rodríguez, Juan A. Gómez-Pulido and Juan M. Sánchez-Pérez, Juan A. Gómez-Pulido and Juan Antonio Gómez Pulido, Juan A. Gómez-Pulido and Anabela Moreira Bernardino, Juan A. Gómez-Pulido and Eugénia Moreira Bernardino, Juan A. Gómez-Pulido and M. Fatih Tasgetiren, Juan A. Gómez-Pulido and Bahriye Akay, Juan A. Gómez-Pulido and Jinjiang Yuan, Juan A. Gómez-Pulido and Yun-Chia Liang, Juan A. Gómez-Pulido and Eli V. Olinick, Juan A. Gómez-Pulido and Olivier Goldschmidt, Juan A. Gómez-Pulido and Hu-Gon Kim, Juan A. Gómez-Pulido and Bahriye Basturk, Anabela Moreira Bernardino and Miguel A. Vega-Rodríguez, Anabela Moreira Bernardino and Juan M. Sánchez-Pérez, Anabela Moreira Bernardino and Juan Antonio Gómez Pulido, Anabela Moreira Bernardino and Eugénia Moreira Bernardino, Anabela Moreira Bernardino and M. Fatih Tasgetiren, Anabela Moreira Bernardino and Bahriye Akay, Anabela Moreira Bernardino and Jinjiang Yuan, Anabela Moreira Bernardino and Yun-Chia Liang, Anabela Moreira Bernardino and Eli V. Olinick, Anabela Moreira Bernardino and Olivier Goldschmidt, Anabela Moreira Bernardino and Hu-Gon Kim, Anabela Moreira Bernardino and Bahriye Basturk, Eugénia Moreira Bernardino and Miguel A. Vega-Rodríguez, Eugénia Moreira Bernardino and Juan M. Sánchez-Pérez, Eugénia Moreira Bernardino and Juan Antonio Gómez Pulido, Eugénia Moreira Bernardino and M. Fatih Tasgetiren, Eugénia Moreira Bernardino and Bahriye Akay, Eugénia Moreira Bernardino and Jinjiang Yuan, Eugénia Moreira Bernardino and Yun-Chia Liang, Eugénia Moreira Bernardino and Eli V. Olinick, Eugénia Moreira Bernardino and Olivier Goldschmidt, Eugénia Moreira Bernardino and Hu-Gon Kim, Eugénia Moreira Bernardino and Bahriye Basturk, Yun-Chia Liang and Miguel A. Vega-Rodríguez, Yun-Chia Liang and Juan M. Sánchez-Pérez, Yun-Chia Liang and M. Fatih Tasgetiren, Yun-Chia Liang and Bahriye Basturk, Olivier Goldschmidt and Miguel A. Vega-Rodríguez, Olivier Goldschmidt and Juan M. Sánchez-Pérez, Hu-Gon Kim and Miguel A. Vega-Rodríguez, Hu-Gon Kim and Juan M. Sánchez-Pérez, Bahriye Basturk and Miguel A. Vega-Rodríguez, Bahriye Basturk and Juan M. Sánchez-Pérez, Bahriye Basturk and M. Fatih Tasgetiren, Bahriye Basturk and Bahriye Akay, Miguel A. Vega-Rodríguez and Juan M. Sánchez-Pérez, Miguel A. Vega-Rodríguez and Juan Antonio Gómez Pulido, Miguel A. Vega-Rodríguez and M. Fatih Tasgetiren, Miguel A. Vega-Rodríguez and Bahriye Akay, Miguel A. Vega-Rodríguez and Jinjiang Yuan, Miguel A. Vega-Rodríguez and Eli V. Olinick, Juan Antonio Gómez Pulido and Juan M. Sánchez-Pérez, M. Fatih Tasgetiren and Juan M. Sánchez-Pérez, M. Fatih Tasgetiren and Bahriye Akay, Jinjiang Yuan and Juan M. Sánchez-Pérez, Bahriye Akay and Juan M. Sánchez-Pérez, Eli V. Olinick and Juan M. Sánchez-Pérez.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Nam Sung Kim, Russ Joseph, Chita R. Das, Naser Sedaghati, Todd M. Austin, Radu Teodorescu, Jingwen Leng, Alan J. Drake, David Tarjan, Vijay Janapa Reddi, David Blaauw, Mahmut T. Kandemir, George L. Yuan, Tor M. Aamodt\n- Research collaborations between these authors: Nam Sung Kim and Mahmut T. Kandemir, Nam Sung Kim and Chita R. Das, Nam Sung Kim and David Blaauw, Nam Sung Kim and Todd M. Austin, Nam Sung Kim and Radu Teodorescu, Nam Sung Kim and Tor M. Aamodt, Nam Sung Kim and Vijay Janapa Reddi, Nam Sung Kim and George L. Yuan, Nam Sung Kim and Jingwen Leng, Nam Sung Kim and David Tarjan, Nam Sung Kim and Russ Joseph, Russ Joseph and Mahmut T. Kandemir, Russ Joseph and Radu Teodorescu, Russ Joseph and Vijay Janapa Reddi, Russ Joseph and David Blaauw, Russ Joseph and Todd M. Austin, Russ Joseph and Jingwen Leng, Chita R. Das and Mahmut T. Kandemir, Chita R. Das and Todd M. Austin, Chita R. Das and Tor M. Aamodt, Chita R. Das and Vijay Janapa Reddi, Chita R. Das and George L. Yuan, Chita R. Das and Jingwen Leng, Chita R. Das and David Tarjan, Chita R. Das and David Blaauw, Naser Sedaghati and Radu Teodorescu, Naser Sedaghati and Tor M. Aamodt, Naser Sedaghati and Vijay Janapa Reddi, Naser Sedaghati and Jingwen Leng, Todd M. Austin and Mahmut T. Kandemir, Todd M. Austin and David Blaauw, Todd M. Austin and Vijay Janapa Reddi, Todd M. Austin and Radu Teodorescu, Todd M. Austin and Jingwen Leng, Radu Teodorescu and Mahmut T. Kandemir, Radu Teodorescu and David Blaauw, Radu Teodorescu and Tor M. Aamodt, Radu Teodorescu and Vijay Janapa Reddi, Radu Teodorescu and Jingwen Leng, Radu Teodorescu and David Tarjan, Jingwen Leng and Mahmut T. Kandemir, Jingwen Leng and Vijay Janapa Reddi, Jingwen Leng and David Blaauw, Jingwen Leng and Tor M. Aamodt, Jingwen Leng and Alan J. Drake, Jingwen Leng and George L. Yuan, Jingwen Leng and David Tarjan, Alan J. Drake and David Blaauw, Alan J. Drake and Vijay Janapa Reddi, David Tarjan and Mahmut T. Kandemir, David Tarjan and Tor M. Aamodt, David Tarjan and Vijay Janapa Reddi, David Tarjan and George L. Yuan, Vijay Janapa Reddi and Mahmut T. Kandemir, Vijay Janapa Reddi and Tor M. Aamodt, Vijay Janapa Reddi and David Blaauw, Vijay Janapa Reddi and George L. Yuan, David Blaauw and Mahmut T. Kandemir, Mahmut T. Kandemir and Tor M. Aamodt, Mahmut T. Kandemir and George L. Yuan, George L. Yuan and Tor M. Aamodt.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Nam Sung Kim\", \"id\": 421280}, {\"name\": \"Russ Joseph\", \"id\": 593923}, {\"name\": \"Chita R. Das\", \"id\": 37892}, {\"name\": \"Naser Sedaghati\", \"id\": 630663}, {\"name\": \"Todd M. Austin\", \"id\": 245992}, {\"name\": \"Radu Teodorescu\", \"id\": 331273}, {\"name\": \"Jingwen Leng\", \"id\": 610061}, {\"name\": \"Alan J. Drake\", \"id\": 562033}, {\"name\": \"Tor M. Aamodt\", \"id\": 340156}, {\"name\": \"Vijay Janapa Reddi\", \"id\": 342291}, {\"name\": \"David Blaauw\", \"id\": 223028}, {\"name\": \"Mahmut T. Kandemir\", \"id\": 1241}, {\"name\": \"George L. Yuan\", \"id\": 564858}, {\"name\": \"David Tarjan\", \"id\": 689308}], \"links\": [{\"source\": 421280, \"target\": 1241}, {\"source\": 421280, \"target\": 37892}, {\"source\": 421280, \"target\": 223028}, {\"source\": 421280, \"target\": 245992}, {\"source\": 421280, \"target\": 331273}, {\"source\": 421280, \"target\": 340156}, {\"source\": 421280, \"target\": 342291}, {\"source\": 421280, \"target\": 564858}, {\"source\": 421280, \"target\": 610061}, {\"source\": 421280, \"target\": 689308}, {\"source\": 421280, \"target\": 593923}, {\"source\": 593923, \"target\": 1241}, {\"source\": 593923, \"target\": 331273}, {\"source\": 593923, \"target\": 342291}, {\"source\": 593923, \"target\": 223028}, {\"source\": 593923, \"target\": 245992}, {\"source\": 593923, \"target\": 610061}, {\"source\": 37892, \"target\": 1241}, {\"source\": 37892, \"target\": 245992}, {\"source\": 37892, \"target\": 340156}, {\"source\": 37892, \"target\": 342291}, {\"source\": 37892, \"target\": 564858}, {\"source\": 37892, \"target\": 610061}, {\"source\": 37892, \"target\": 689308}, {\"source\": 37892, \"target\": 223028}, {\"source\": 630663, \"target\": 331273}, {\"source\": 630663, \"target\": 340156}, {\"source\": 630663, \"target\": 342291}, {\"source\": 630663, \"target\": 610061}, {\"source\": 245992, \"target\": 1241}, {\"source\": 245992, \"target\": 223028}, {\"source\": 245992, \"target\": 342291}, {\"source\": 245992, \"target\": 331273}, {\"source\": 245992, \"target\": 610061}, {\"source\": 331273, \"target\": 1241}, {\"source\": 331273, \"target\": 223028}, {\"source\": 331273, \"target\": 340156}, {\"source\": 331273, \"target\": 342291}, {\"source\": 331273, \"target\": 610061}, {\"source\": 331273, \"target\": 689308}, {\"source\": 610061, \"target\": 1241}, {\"source\": 610061, \"target\": 342291}, {\"source\": 610061, \"target\": 223028}, {\"source\": 610061, \"target\": 340156}, {\"source\": 610061, \"target\": 562033}, {\"source\": 610061, \"target\": 564858}, {\"source\": 610061, \"target\": 689308}, {\"source\": 562033, \"target\": 223028}, {\"source\": 562033, \"target\": 342291}, {\"source\": 340156, \"target\": 1241}, {\"source\": 340156, \"target\": 342291}, {\"source\": 340156, \"target\": 564858}, {\"source\": 340156, \"target\": 689308}, {\"source\": 342291, \"target\": 1241}, {\"source\": 342291, \"target\": 223028}, {\"source\": 342291, \"target\": 564858}, {\"source\": 342291, \"target\": 689308}, {\"source\": 223028, \"target\": 1241}, {\"source\": 1241, \"target\": 564858}, {\"source\": 1241, \"target\": 689308}, {\"source\": 564858, \"target\": 689308}]}",
"id": 1525,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Nam Sung Kim, Russ Joseph, Chita R. Das, Naser Sedaghati, Todd M. Austin, Radu Teodorescu, Jingwen Leng, Alan J. Drake, David Tarjan, Vijay Janapa Reddi, David Blaauw, Mahmut T. Kandemir, George L. Yuan, Tor M. Aamodt\n- Research collaborations between these authors: Nam Sung Kim and Mahmut T. Kandemir, Nam Sung Kim and Chita R. Das, Nam Sung Kim and David Blaauw, Nam Sung Kim and Todd M. Austin, Nam Sung Kim and Radu Teodorescu, Nam Sung Kim and Tor M. Aamodt, Nam Sung Kim and Vijay Janapa Reddi, Nam Sung Kim and George L. Yuan, Nam Sung Kim and Jingwen Leng, Nam Sung Kim and David Tarjan, Nam Sung Kim and Russ Joseph, Russ Joseph and Mahmut T. Kandemir, Russ Joseph and Radu Teodorescu, Russ Joseph and Vijay Janapa Reddi, Russ Joseph and David Blaauw, Russ Joseph and Todd M. Austin, Russ Joseph and Jingwen Leng, Chita R. Das and Mahmut T. Kandemir, Chita R. Das and Todd M. Austin, Chita R. Das and Tor M. Aamodt, Chita R. Das and Vijay Janapa Reddi, Chita R. Das and George L. Yuan, Chita R. Das and Jingwen Leng, Chita R. Das and David Tarjan, Chita R. Das and David Blaauw, Naser Sedaghati and Radu Teodorescu, Naser Sedaghati and Tor M. Aamodt, Naser Sedaghati and Vijay Janapa Reddi, Naser Sedaghati and Jingwen Leng, Todd M. Austin and Mahmut T. Kandemir, Todd M. Austin and David Blaauw, Todd M. Austin and Vijay Janapa Reddi, Todd M. Austin and Radu Teodorescu, Todd M. Austin and Jingwen Leng, Radu Teodorescu and Mahmut T. Kandemir, Radu Teodorescu and David Blaauw, Radu Teodorescu and Tor M. Aamodt, Radu Teodorescu and Vijay Janapa Reddi, Radu Teodorescu and Jingwen Leng, Radu Teodorescu and David Tarjan, Jingwen Leng and Mahmut T. Kandemir, Jingwen Leng and Vijay Janapa Reddi, Jingwen Leng and David Blaauw, Jingwen Leng and Tor M. Aamodt, Jingwen Leng and Alan J. Drake, Jingwen Leng and George L. Yuan, Jingwen Leng and David Tarjan, Alan J. Drake and David Blaauw, Alan J. Drake and Vijay Janapa Reddi, David Tarjan and Mahmut T. Kandemir, David Tarjan and Tor M. Aamodt, David Tarjan and Vijay Janapa Reddi, David Tarjan and George L. Yuan, Vijay Janapa Reddi and Mahmut T. Kandemir, Vijay Janapa Reddi and Tor M. Aamodt, Vijay Janapa Reddi and David Blaauw, Vijay Janapa Reddi and George L. Yuan, David Blaauw and Mahmut T. Kandemir, Mahmut T. Kandemir and Tor M. Aamodt, Mahmut T. Kandemir and George L. Yuan, George L. Yuan and Tor M. Aamodt.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xiaoqing Wen, Patrick Girard, Takashi Aikyo, Swarup Bhunia, Seiji Kajihara, Vishwani D. Agrawal, V. Kamakoti, V. R. Devanathan, Michael S. Hsiao, Bram Kruseman, Irith Pomeranz, Sudhakar M. Reddy, Tony Fryars, Wu-Tung Cheng\n- Research collaborations between these authors: Xiaoqing Wen and Patrick Girard, Xiaoqing Wen and V. Kamakoti, Xiaoqing Wen and Michael S. Hsiao, Xiaoqing Wen and Irith Pomeranz, Xiaoqing Wen and Sudhakar M. Reddy, Xiaoqing Wen and Wu-Tung Cheng, Xiaoqing Wen and Seiji Kajihara, Xiaoqing Wen and Bram Kruseman, Xiaoqing Wen and Tony Fryars, Xiaoqing Wen and Takashi Aikyo, Xiaoqing Wen and V. R. Devanathan, Patrick Girard and Michael S. Hsiao, Patrick Girard and Irith Pomeranz, Patrick Girard and Sudhakar M. Reddy, Patrick Girard and Swarup Bhunia, Patrick Girard and Wu-Tung Cheng, Patrick Girard and Seiji Kajihara, Patrick Girard and Bram Kruseman, Patrick Girard and Tony Fryars, Patrick Girard and V. Kamakoti, Patrick Girard and Vishwani D. Agrawal, Patrick Girard and Takashi Aikyo, Patrick Girard and V. R. Devanathan, Takashi Aikyo and Vishwani D. Agrawal, Takashi Aikyo and Irith Pomeranz, Takashi Aikyo and Seiji Kajihara, Takashi Aikyo and V. Kamakoti, Takashi Aikyo and Sudhakar M. Reddy, Takashi Aikyo and Bram Kruseman, Takashi Aikyo and V. R. Devanathan, Swarup Bhunia and V. Kamakoti, Swarup Bhunia and Michael S. Hsiao, Swarup Bhunia and Irith Pomeranz, Swarup Bhunia and Sudhakar M. Reddy, Swarup Bhunia and V. R. Devanathan, Seiji Kajihara and V. Kamakoti, Seiji Kajihara and Vishwani D. Agrawal, Seiji Kajihara and Michael S. Hsiao, Seiji Kajihara and Irith Pomeranz, Seiji Kajihara and Sudhakar M. Reddy, Seiji Kajihara and Wu-Tung Cheng, Seiji Kajihara and Bram Kruseman, Seiji Kajihara and Tony Fryars, Seiji Kajihara and V. R. Devanathan, Vishwani D. Agrawal and V. Kamakoti, Vishwani D. Agrawal and Michael S. Hsiao, Vishwani D. Agrawal and Irith Pomeranz, Vishwani D. Agrawal and Sudhakar M. Reddy, Vishwani D. Agrawal and V. R. Devanathan, V. Kamakoti and Michael S. Hsiao, V. Kamakoti and Irith Pomeranz, V. Kamakoti and Sudhakar M. Reddy, V. Kamakoti and Bram Kruseman, V. Kamakoti and Tony Fryars, V. Kamakoti and V. R. Devanathan, V. Kamakoti and Wu-Tung Cheng, V. R. Devanathan and Wu-Tung Cheng, V. R. Devanathan and Irith Pomeranz, V. R. Devanathan and Sudhakar M. Reddy, V. R. Devanathan and Bram Kruseman, V. R. Devanathan and Tony Fryars, Michael S. Hsiao and Irith Pomeranz, Michael S. Hsiao and Sudhakar M. Reddy, Michael S. Hsiao and Wu-Tung Cheng, Bram Kruseman and Irith Pomeranz, Bram Kruseman and Sudhakar M. Reddy, Bram Kruseman and Wu-Tung Cheng, Irith Pomeranz and Sudhakar M. Reddy, Irith Pomeranz and Wu-Tung Cheng, Irith Pomeranz and Tony Fryars, Sudhakar M. Reddy and Wu-Tung Cheng, Sudhakar M. Reddy and Tony Fryars.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Patrick Girard\", \"id\": 7204}, {\"name\": \"Takashi Aikyo\", \"id\": 428840}, {\"name\": \"Seiji Kajihara\", \"id\": 289069}, {\"name\": \"Vishwani D. Agrawal\", \"id\": 129775}, {\"name\": \"V. Kamakoti\", \"id\": 60560}, {\"name\": \"V. R. Devanathan\", \"id\": 575409}, {\"name\": \"Sudhakar M. Reddy\", \"id\": 219801}, {\"name\": \"Michael S. Hsiao\", \"id\": 130774}, {\"name\": \"Xiaoqing Wen\", \"id\": 337399}, {\"name\": \"Irith Pomeranz\", \"id\": 219800}, {\"name\": \"Swarup Bhunia\", \"id\": 221593}, {\"name\": \"Tony Fryars\", \"id\": 341112}, {\"name\": \"Bram Kruseman\", \"id\": 337721}, {\"name\": \"Wu-Tung Cheng\", \"id\": 234879}], \"links\": [{\"source\": 7204, \"target\": 130774}, {\"source\": 7204, \"target\": 219800}, {\"source\": 7204, \"target\": 219801}, {\"source\": 7204, \"target\": 221593}, {\"source\": 7204, \"target\": 234879}, {\"source\": 7204, \"target\": 289069}, {\"source\": 7204, \"target\": 337399}, {\"source\": 7204, \"target\": 337721}, {\"source\": 7204, \"target\": 341112}, {\"source\": 7204, \"target\": 60560}, {\"source\": 7204, \"target\": 129775}, {\"source\": 7204, \"target\": 428840}, {\"source\": 7204, \"target\": 575409}, {\"source\": 428840, \"target\": 129775}, {\"source\": 428840, \"target\": 219800}, {\"source\": 428840, \"target\": 289069}, {\"source\": 428840, \"target\": 337399}, {\"source\": 428840, \"target\": 60560}, {\"source\": 428840, \"target\": 219801}, {\"source\": 428840, \"target\": 337721}, {\"source\": 428840, \"target\": 575409}, {\"source\": 289069, \"target\": 60560}, {\"source\": 289069, \"target\": 129775}, {\"source\": 289069, \"target\": 130774}, {\"source\": 289069, \"target\": 219800}, {\"source\": 289069, \"target\": 219801}, {\"source\": 289069, \"target\": 234879}, {\"source\": 289069, \"target\": 337399}, {\"source\": 289069, \"target\": 337721}, {\"source\": 289069, \"target\": 341112}, {\"source\": 289069, \"target\": 575409}, {\"source\": 129775, \"target\": 60560}, {\"source\": 129775, \"target\": 130774}, {\"source\": 129775, \"target\": 219800}, {\"source\": 129775, \"target\": 219801}, {\"source\": 129775, \"target\": 575409}, {\"source\": 60560, \"target\": 130774}, {\"source\": 60560, \"target\": 219800}, {\"source\": 60560, \"target\": 219801}, {\"source\": 60560, \"target\": 221593}, {\"source\": 60560, \"target\": 337399}, {\"source\": 60560, \"target\": 337721}, {\"source\": 60560, \"target\": 341112}, {\"source\": 60560, \"target\": 575409}, {\"source\": 60560, \"target\": 234879}, {\"source\": 575409, \"target\": 234879}, {\"source\": 575409, \"target\": 337399}, {\"source\": 575409, \"target\": 219800}, {\"source\": 575409, \"target\": 219801}, {\"source\": 575409, \"target\": 221593}, {\"source\": 575409, \"target\": 337721}, {\"source\": 575409, \"target\": 341112}, {\"source\": 219801, \"target\": 130774}, {\"source\": 219801, \"target\": 219800}, {\"source\": 219801, \"target\": 234879}, {\"source\": 219801, \"target\": 337399}, {\"source\": 219801, \"target\": 337721}, {\"source\": 219801, \"target\": 341112}, {\"source\": 219801, \"target\": 221593}, {\"source\": 130774, \"target\": 219800}, {\"source\": 130774, \"target\": 221593}, {\"source\": 130774, \"target\": 234879}, {\"source\": 130774, \"target\": 337399}, {\"source\": 337399, \"target\": 219800}, {\"source\": 337399, \"target\": 234879}, {\"source\": 337399, \"target\": 337721}, {\"source\": 337399, \"target\": 341112}, {\"source\": 219800, \"target\": 234879}, {\"source\": 219800, \"target\": 337721}, {\"source\": 219800, \"target\": 341112}, {\"source\": 219800, \"target\": 221593}, {\"source\": 337721, \"target\": 234879}]}",
"id": 2710,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xiaoqing Wen, Patrick Girard, Takashi Aikyo, Swarup Bhunia, Seiji Kajihara, Vishwani D. Agrawal, V. Kamakoti, V. R. Devanathan, Michael S. Hsiao, Bram Kruseman, Irith Pomeranz, Sudhakar M. Reddy, Tony Fryars, Wu-Tung Cheng\n- Research collaborations between these authors: Xiaoqing Wen and Patrick Girard, Xiaoqing Wen and V. Kamakoti, Xiaoqing Wen and Michael S. Hsiao, Xiaoqing Wen and Irith Pomeranz, Xiaoqing Wen and Sudhakar M. Reddy, Xiaoqing Wen and Wu-Tung Cheng, Xiaoqing Wen and Seiji Kajihara, Xiaoqing Wen and Bram Kruseman, Xiaoqing Wen and Tony Fryars, Xiaoqing Wen and Takashi Aikyo, Xiaoqing Wen and V. R. Devanathan, Patrick Girard and Michael S. Hsiao, Patrick Girard and Irith Pomeranz, Patrick Girard and Sudhakar M. Reddy, Patrick Girard and Swarup Bhunia, Patrick Girard and Wu-Tung Cheng, Patrick Girard and Seiji Kajihara, Patrick Girard and Bram Kruseman, Patrick Girard and Tony Fryars, Patrick Girard and V. Kamakoti, Patrick Girard and Vishwani D. Agrawal, Patrick Girard and Takashi Aikyo, Patrick Girard and V. R. Devanathan, Takashi Aikyo and Vishwani D. Agrawal, Takashi Aikyo and Irith Pomeranz, Takashi Aikyo and Seiji Kajihara, Takashi Aikyo and V. Kamakoti, Takashi Aikyo and Sudhakar M. Reddy, Takashi Aikyo and Bram Kruseman, Takashi Aikyo and V. R. Devanathan, Swarup Bhunia and V. Kamakoti, Swarup Bhunia and Michael S. Hsiao, Swarup Bhunia and Irith Pomeranz, Swarup Bhunia and Sudhakar M. Reddy, Swarup Bhunia and V. R. Devanathan, Seiji Kajihara and V. Kamakoti, Seiji Kajihara and Vishwani D. Agrawal, Seiji Kajihara and Michael S. Hsiao, Seiji Kajihara and Irith Pomeranz, Seiji Kajihara and Sudhakar M. Reddy, Seiji Kajihara and Wu-Tung Cheng, Seiji Kajihara and Bram Kruseman, Seiji Kajihara and Tony Fryars, Seiji Kajihara and V. R. Devanathan, Vishwani D. Agrawal and V. Kamakoti, Vishwani D. Agrawal and Michael S. Hsiao, Vishwani D. Agrawal and Irith Pomeranz, Vishwani D. Agrawal and Sudhakar M. Reddy, Vishwani D. Agrawal and V. R. Devanathan, V. Kamakoti and Michael S. Hsiao, V. Kamakoti and Irith Pomeranz, V. Kamakoti and Sudhakar M. Reddy, V. Kamakoti and Bram Kruseman, V. Kamakoti and Tony Fryars, V. Kamakoti and V. R. Devanathan, V. Kamakoti and Wu-Tung Cheng, V. R. Devanathan and Wu-Tung Cheng, V. R. Devanathan and Irith Pomeranz, V. R. Devanathan and Sudhakar M. Reddy, V. R. Devanathan and Bram Kruseman, V. R. Devanathan and Tony Fryars, Michael S. Hsiao and Irith Pomeranz, Michael S. Hsiao and Sudhakar M. Reddy, Michael S. Hsiao and Wu-Tung Cheng, Bram Kruseman and Irith Pomeranz, Bram Kruseman and Sudhakar M. Reddy, Bram Kruseman and Wu-Tung Cheng, Irith Pomeranz and Sudhakar M. Reddy, Irith Pomeranz and Wu-Tung Cheng, Irith Pomeranz and Tony Fryars, Sudhakar M. Reddy and Wu-Tung Cheng, Sudhakar M. Reddy and Tony Fryars.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Te-Sheng Li, Yuan Jiang, Yu-Cheng Lin, S. M. T. Fatemi Ghomi, Kwang Ryel Ryu, Pei-Chann Chang, Edmund K. Burke, Chen-Fu Chien, Chin-Yuan Fan, Toly Chen, Abbas Al-Refaie, Jih-Chang Hsieh, Chen-Hao Liu, Shih-Hsin Chen\n- Research collaborations between these authors: Te-Sheng Li and Toly Chen, Yuan Jiang and Toly Chen, Yu-Cheng Lin and Toly Chen, Yu-Cheng Lin and Pei-Chann Chang, S. M. T. Fatemi Ghomi and Pei-Chann Chang, S. M. T. Fatemi Ghomi and Shih-Hsin Chen, Pei-Chann Chang and Toly Chen, Pei-Chann Chang and Chin-Yuan Fan, Pei-Chann Chang and Jih-Chang Hsieh, Pei-Chann Chang and Chen-Hao Liu, Pei-Chann Chang and Shih-Hsin Chen, Edmund K. Burke and Shih-Hsin Chen, Chen-Fu Chien and Toly Chen, Chin-Yuan Fan and Chen-Hao Liu, Chin-Yuan Fan and Shih-Hsin Chen, Toly Chen and Jih-Chang Hsieh, Toly Chen and Abbas Al-Refaie, Jih-Chang Hsieh and Shih-Hsin Chen, Chen-Hao Liu and Shih-Hsin Chen.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Te-Sheng Li\", \"id\": 595392}, {\"name\": \"Yuan Jiang\", \"id\": 97570}, {\"name\": \"S. M. T. Fatemi Ghomi\", \"id\": 81673}, {\"name\": \"Kwang Ryel Ryu\", \"id\": 55020}, {\"name\": \"Jih-Chang Hsieh\", \"id\": 225372}, {\"name\": \"Pei-Chann Chang\", \"id\": 147410}, {\"name\": \"Edmund K. Burke\", \"id\": 162067}, {\"name\": \"Chen-Fu Chien\", \"id\": 505203}, {\"name\": \"Chin-Yuan Fan\", \"id\": 223252}, {\"name\": \"Toly Chen\", \"id\": 51449}, {\"name\": \"Abbas Al-Refaie\", \"id\": 427355}, {\"name\": \"Yu-Cheng Lin\", \"id\": 371580}, {\"name\": \"Chen-Hao Liu\", \"id\": 225373}, {\"name\": \"Shih-Hsin Chen\", \"id\": 241535}], \"links\": [{\"source\": 595392, \"target\": 51449}, {\"source\": 97570, \"target\": 51449}, {\"source\": 81673, \"target\": 147410}, {\"source\": 81673, \"target\": 241535}, {\"source\": 225372, \"target\": 51449}, {\"source\": 225372, \"target\": 147410}, {\"source\": 225372, \"target\": 241535}, {\"source\": 147410, \"target\": 51449}, {\"source\": 147410, \"target\": 223252}, {\"source\": 147410, \"target\": 225373}, {\"source\": 147410, \"target\": 241535}, {\"source\": 147410, \"target\": 371580}, {\"source\": 162067, \"target\": 241535}, {\"source\": 505203, \"target\": 51449}, {\"source\": 223252, \"target\": 225373}, {\"source\": 223252, \"target\": 241535}, {\"source\": 51449, \"target\": 371580}, {\"source\": 51449, \"target\": 427355}, {\"source\": 225373, \"target\": 241535}]}",
"id": 1444,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Te-Sheng Li, Yuan Jiang, Yu-Cheng Lin, S. M. T. Fatemi Ghomi, Kwang Ryel Ryu, Pei-Chann Chang, Edmund K. Burke, Chen-Fu Chien, Chin-Yuan Fan, Toly Chen, Abbas Al-Refaie, Jih-Chang Hsieh, Chen-Hao Liu, Shih-Hsin Chen\n- Research collaborations between these authors: Te-Sheng Li and Toly Chen, Yuan Jiang and Toly Chen, Yu-Cheng Lin and Toly Chen, Yu-Cheng Lin and Pei-Chann Chang, S. M. T. Fatemi Ghomi and Pei-Chann Chang, S. M. T. Fatemi Ghomi and Shih-Hsin Chen, Pei-Chann Chang and Toly Chen, Pei-Chann Chang and Chin-Yuan Fan, Pei-Chann Chang and Jih-Chang Hsieh, Pei-Chann Chang and Chen-Hao Liu, Pei-Chann Chang and Shih-Hsin Chen, Edmund K. Burke and Shih-Hsin Chen, Chen-Fu Chien and Toly Chen, Chin-Yuan Fan and Chen-Hao Liu, Chin-Yuan Fan and Shih-Hsin Chen, Toly Chen and Jih-Chang Hsieh, Toly Chen and Abbas Al-Refaie, Jih-Chang Hsieh and Shih-Hsin Chen, Chen-Hao Liu and Shih-Hsin Chen.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: José Ramón Cano, Francisco Herrera, Henry Brighton, Raúl Pérez, Fadi Dornaika, Hadi Sadoghi Yazdi, Stefanos Ougiaroglou, Georgios Evangelidis, J. Arturo Olvera-López, J. Ariel Carrasco-Ochoa, Hugo Jair Escalante, Antonio González, Rachid Harba, Frédéric Ros\n- Research collaborations between these authors: José Ramón Cano and Francisco Herrera, José Ramón Cano and Hadi Sadoghi Yazdi, José Ramón Cano and Fadi Dornaika, José Ramón Cano and Stefanos Ougiaroglou, José Ramón Cano and Georgios Evangelidis, José Ramón Cano and Hugo Jair Escalante, José Ramón Cano and Antonio González, José Ramón Cano and J. Arturo Olvera-López, José Ramón Cano and J. Ariel Carrasco-Ochoa, José Ramón Cano and Rachid Harba, José Ramón Cano and Frédéric Ros, José Ramón Cano and Raúl Pérez, José Ramón Cano and Henry Brighton, Francisco Herrera and Antonio González, Francisco Herrera and J. Arturo Olvera-López, Francisco Herrera and J. Ariel Carrasco-Ochoa, Francisco Herrera and Raúl Pérez, Francisco Herrera and Henry Brighton, Francisco Herrera and Hadi Sadoghi Yazdi, Francisco Herrera and Fadi Dornaika, Francisco Herrera and Stefanos Ougiaroglou, Francisco Herrera and Georgios Evangelidis, Francisco Herrera and Hugo Jair Escalante, Francisco Herrera and Rachid Harba, Francisco Herrera and Frédéric Ros, Henry Brighton and Stefanos Ougiaroglou, Henry Brighton and Georgios Evangelidis, Henry Brighton and Antonio González, Henry Brighton and J. Arturo Olvera-López, Henry Brighton and J. Ariel Carrasco-Ochoa, Henry Brighton and Raúl Pérez, Raúl Pérez and Antonio González, Raúl Pérez and J. Arturo Olvera-López, Raúl Pérez and J. Ariel Carrasco-Ochoa, Fadi Dornaika and J. Arturo Olvera-López, Fadi Dornaika and J. Ariel Carrasco-Ochoa, Hadi Sadoghi Yazdi and J. Arturo Olvera-López, Hadi Sadoghi Yazdi and J. Ariel Carrasco-Ochoa, Stefanos Ougiaroglou and Georgios Evangelidis, Stefanos Ougiaroglou and J. Arturo Olvera-López, Stefanos Ougiaroglou and J. Ariel Carrasco-Ochoa, Georgios Evangelidis and J. Arturo Olvera-López, Georgios Evangelidis and J. Ariel Carrasco-Ochoa, J. Arturo Olvera-López and Hugo Jair Escalante, J. Arturo Olvera-López and Antonio González, J. Arturo Olvera-López and J. Ariel Carrasco-Ochoa, J. Arturo Olvera-López and Rachid Harba, J. Arturo Olvera-López and Frédéric Ros, J. Ariel Carrasco-Ochoa and Hugo Jair Escalante, J. Ariel Carrasco-Ochoa and Antonio González, J. Ariel Carrasco-Ochoa and Rachid Harba, J. Ariel Carrasco-Ochoa and Frédéric Ros, Rachid Harba and Frédéric Ros.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jos\\u00e9 Ram\\u00f3n Cano\", \"id\": 211488}, {\"name\": \"Francisco Herrera\", \"id\": 8676}, {\"name\": \"Henry Brighton\", \"id\": 172100}, {\"name\": \"Ra\\u00fal P\\u00e9rez\", \"id\": 132264}, {\"name\": \"Fadi Dornaika\", \"id\": 22985}, {\"name\": \"Hadi Sadoghi Yazdi\", \"id\": 14570}, {\"name\": \"Stefanos Ougiaroglou\", \"id\": 23821}, {\"name\": \"Georgios Evangelidis\", \"id\": 23822}, {\"name\": \"J. Arturo Olvera-L\\u00f3pez\", \"id\": 57010}, {\"name\": \"J. Ariel Carrasco-Ochoa\", \"id\": 57012}, {\"name\": \"Hugo Jair Escalante\", \"id\": 43863}, {\"name\": \"Antonio Gonz\\u00e1lez\", \"id\": 53656}, {\"name\": \"Rachid Harba\", \"id\": 89051}, {\"name\": \"Fr\\u00e9d\\u00e9ric Ros\", \"id\": 89052}], \"links\": [{\"source\": 211488, \"target\": 8676}, {\"source\": 211488, \"target\": 14570}, {\"source\": 211488, \"target\": 22985}, {\"source\": 211488, \"target\": 23821}, {\"source\": 211488, \"target\": 23822}, {\"source\": 211488, \"target\": 43863}, {\"source\": 211488, \"target\": 53656}, {\"source\": 211488, \"target\": 57010}, {\"source\": 211488, \"target\": 57012}, {\"source\": 211488, \"target\": 89051}, {\"source\": 211488, \"target\": 89052}, {\"source\": 211488, \"target\": 132264}, {\"source\": 211488, \"target\": 172100}, {\"source\": 8676, \"target\": 53656}, {\"source\": 8676, \"target\": 57010}, {\"source\": 8676, \"target\": 57012}, {\"source\": 8676, \"target\": 132264}, {\"source\": 8676, \"target\": 172100}, {\"source\": 8676, \"target\": 14570}, {\"source\": 8676, \"target\": 22985}, {\"source\": 8676, \"target\": 23821}, {\"source\": 8676, \"target\": 23822}, {\"source\": 8676, \"target\": 43863}, {\"source\": 8676, \"target\": 89051}, {\"source\": 8676, \"target\": 89052}, {\"source\": 172100, \"target\": 23821}, {\"source\": 172100, \"target\": 23822}, {\"source\": 172100, \"target\": 53656}, {\"source\": 172100, \"target\": 57010}, {\"source\": 172100, \"target\": 57012}, {\"source\": 172100, \"target\": 132264}, {\"source\": 132264, \"target\": 53656}, {\"source\": 132264, \"target\": 57010}, {\"source\": 132264, \"target\": 57012}, {\"source\": 22985, \"target\": 57010}, {\"source\": 22985, \"target\": 57012}, {\"source\": 14570, \"target\": 57010}, {\"source\": 14570, \"target\": 57012}, {\"source\": 23821, \"target\": 23822}, {\"source\": 23821, \"target\": 57010}, {\"source\": 23821, \"target\": 57012}, {\"source\": 23822, \"target\": 57010}, {\"source\": 23822, \"target\": 57012}, {\"source\": 57010, \"target\": 43863}, {\"source\": 57010, \"target\": 53656}, {\"source\": 57010, \"target\": 57012}, {\"source\": 57010, \"target\": 89051}, {\"source\": 57010, \"target\": 89052}, {\"source\": 57012, \"target\": 43863}, {\"source\": 57012, \"target\": 53656}, {\"source\": 57012, \"target\": 89051}, {\"source\": 57012, \"target\": 89052}, {\"source\": 89051, \"target\": 89052}]}",
"id": 1870,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: José Ramón Cano, Francisco Herrera, Henry Brighton, Raúl Pérez, Fadi Dornaika, Hadi Sadoghi Yazdi, Stefanos Ougiaroglou, Georgios Evangelidis, J. Arturo Olvera-López, J. Ariel Carrasco-Ochoa, Hugo Jair Escalante, Antonio González, Rachid Harba, Frédéric Ros\n- Research collaborations between these authors: José Ramón Cano and Francisco Herrera, José Ramón Cano and Hadi Sadoghi Yazdi, José Ramón Cano and Fadi Dornaika, José Ramón Cano and Stefanos Ougiaroglou, José Ramón Cano and Georgios Evangelidis, José Ramón Cano and Hugo Jair Escalante, José Ramón Cano and Antonio González, José Ramón Cano and J. Arturo Olvera-López, José Ramón Cano and J. Ariel Carrasco-Ochoa, José Ramón Cano and Rachid Harba, José Ramón Cano and Frédéric Ros, José Ramón Cano and Raúl Pérez, José Ramón Cano and Henry Brighton, Francisco Herrera and Antonio González, Francisco Herrera and J. Arturo Olvera-López, Francisco Herrera and J. Ariel Carrasco-Ochoa, Francisco Herrera and Raúl Pérez, Francisco Herrera and Henry Brighton, Francisco Herrera and Hadi Sadoghi Yazdi, Francisco Herrera and Fadi Dornaika, Francisco Herrera and Stefanos Ougiaroglou, Francisco Herrera and Georgios Evangelidis, Francisco Herrera and Hugo Jair Escalante, Francisco Herrera and Rachid Harba, Francisco Herrera and Frédéric Ros, Henry Brighton and Stefanos Ougiaroglou, Henry Brighton and Georgios Evangelidis, Henry Brighton and Antonio González, Henry Brighton and J. Arturo Olvera-López, Henry Brighton and J. Ariel Carrasco-Ochoa, Henry Brighton and Raúl Pérez, Raúl Pérez and Antonio González, Raúl Pérez and J. Arturo Olvera-López, Raúl Pérez and J. Ariel Carrasco-Ochoa, Fadi Dornaika and J. Arturo Olvera-López, Fadi Dornaika and J. Ariel Carrasco-Ochoa, Hadi Sadoghi Yazdi and J. Arturo Olvera-López, Hadi Sadoghi Yazdi and J. Ariel Carrasco-Ochoa, Stefanos Ougiaroglou and Georgios Evangelidis, Stefanos Ougiaroglou and J. Arturo Olvera-López, Stefanos Ougiaroglou and J. Ariel Carrasco-Ochoa, Georgios Evangelidis and J. Arturo Olvera-López, Georgios Evangelidis and J. Ariel Carrasco-Ochoa, J. Arturo Olvera-López and Hugo Jair Escalante, J. Arturo Olvera-López and Antonio González, J. Arturo Olvera-López and J. Ariel Carrasco-Ochoa, J. Arturo Olvera-López and Rachid Harba, J. Arturo Olvera-López and Frédéric Ros, J. Ariel Carrasco-Ochoa and Hugo Jair Escalante, J. Ariel Carrasco-Ochoa and Antonio González, J. Ariel Carrasco-Ochoa and Rachid Harba, J. Ariel Carrasco-Ochoa and Frédéric Ros, Rachid Harba and Frédéric Ros.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xin Fu, Hang Li, Mark Stevenson, Cyrus Shahabi, Gao Cong, Hamed Zamani, Yunqing Xia, John D. Lafferty, Manuel V. Hermenegildo, Xiao Li, W. Bruce Croft, Stefano Ceri, Yeyun Gong, Federica Moro\n- Research collaborations between these authors: Xin Fu and W. Bruce Croft, Hang Li and W. Bruce Croft, Hang Li and Xiao Li, Hang Li and John D. Lafferty, Hang Li and Hamed Zamani, Mark Stevenson and W. Bruce Croft, Cyrus Shahabi and Gao Cong, Cyrus Shahabi and Stefano Ceri, Gao Cong and W. Bruce Croft, Gao Cong and John D. Lafferty, Hamed Zamani and W. Bruce Croft, Hamed Zamani and John D. Lafferty, Yunqing Xia and W. Bruce Croft, John D. Lafferty and Xiao Li, John D. Lafferty and W. Bruce Croft, Xiao Li and W. Bruce Croft, W. Bruce Croft and Yeyun Gong, W. Bruce Croft and Federica Moro.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Xin Fu\", \"id\": 39360}, {\"name\": \"Hang Li\", \"id\": 29123}, {\"name\": \"Mark Stevenson\", \"id\": 4548}, {\"name\": \"Gao Cong\", \"id\": 6663}, {\"name\": \"Cyrus Shahabi\", \"id\": 60327}, {\"name\": \"Hamed Zamani\", \"id\": 75015}, {\"name\": \"Yunqing Xia\", \"id\": 68074}, {\"name\": \"John D. Lafferty\", \"id\": 211278}, {\"name\": \"Manuel V. Hermenegildo\", \"id\": 232560}, {\"name\": \"Xiao Li\", \"id\": 14899}, {\"name\": \"W. Bruce Croft\", \"id\": 24764}, {\"name\": \"Stefano Ceri\", \"id\": 19037}, {\"name\": \"Yeyun Gong\", \"id\": 205790}, {\"name\": \"Federica Moro\", \"id\": 759391}], \"links\": [{\"source\": 39360, \"target\": 24764}, {\"source\": 29123, \"target\": 24764}, {\"source\": 29123, \"target\": 14899}, {\"source\": 29123, \"target\": 211278}, {\"source\": 29123, \"target\": 75015}, {\"source\": 4548, \"target\": 24764}, {\"source\": 6663, \"target\": 24764}, {\"source\": 6663, \"target\": 60327}, {\"source\": 6663, \"target\": 211278}, {\"source\": 60327, \"target\": 19037}, {\"source\": 75015, \"target\": 24764}, {\"source\": 75015, \"target\": 211278}, {\"source\": 68074, \"target\": 24764}, {\"source\": 211278, \"target\": 14899}, {\"source\": 211278, \"target\": 24764}, {\"source\": 14899, \"target\": 24764}, {\"source\": 24764, \"target\": 205790}, {\"source\": 24764, \"target\": 759391}]}",
"id": 1661,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xin Fu, Hang Li, Mark Stevenson, Cyrus Shahabi, Gao Cong, Hamed Zamani, Yunqing Xia, John D. Lafferty, Manuel V. Hermenegildo, Xiao Li, W. Bruce Croft, Stefano Ceri, Yeyun Gong, Federica Moro\n- Research collaborations between these authors: Xin Fu and W. Bruce Croft, Hang Li and W. Bruce Croft, Hang Li and Xiao Li, Hang Li and John D. Lafferty, Hang Li and Hamed Zamani, Mark Stevenson and W. Bruce Croft, Cyrus Shahabi and Gao Cong, Cyrus Shahabi and Stefano Ceri, Gao Cong and W. Bruce Croft, Gao Cong and John D. Lafferty, Hamed Zamani and W. Bruce Croft, Hamed Zamani and John D. Lafferty, Yunqing Xia and W. Bruce Croft, John D. Lafferty and Xiao Li, John D. Lafferty and W. Bruce Croft, Xiao Li and W. Bruce Croft, W. Bruce Croft and Yeyun Gong, W. Bruce Croft and Federica Moro.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jacques Oksman, A. Mills, S. Vishwanath, Imre Csiszár, Vinod M. Prabhakaran, Iris Safaka, Emina Soljanin, Martina Cardone, Suhas N. Diggavi, Shlomo Shamai, Yingbin Liang, H.V. Poor, Christina Fragouli, László Czap\n- Research collaborations between these authors: A. Mills and Christina Fragouli, A. Mills and László Czap, S. Vishwanath and Christina Fragouli, S. Vishwanath and László Czap, Imre Csiszár and Vinod M. Prabhakaran, Imre Csiszár and H.V. Poor, Imre Csiszár and Yingbin Liang, Imre Csiszár and Suhas N. Diggavi, Imre Csiszár and Christina Fragouli, Imre Csiszár and László Czap, Vinod M. Prabhakaran and Emina Soljanin, Vinod M. Prabhakaran and Shlomo Shamai, Vinod M. Prabhakaran and H.V. Poor, Vinod M. Prabhakaran and Yingbin Liang, Vinod M. Prabhakaran and Suhas N. Diggavi, Vinod M. Prabhakaran and Christina Fragouli, Vinod M. Prabhakaran and László Czap, Vinod M. Prabhakaran and Iris Safaka, Vinod M. Prabhakaran and Martina Cardone, Iris Safaka and Suhas N. Diggavi, Iris Safaka and Christina Fragouli, Iris Safaka and László Czap, Emina Soljanin and Shlomo Shamai, Emina Soljanin and Christina Fragouli, Emina Soljanin and Yingbin Liang, Emina Soljanin and Suhas N. Diggavi, Emina Soljanin and László Czap, Martina Cardone and Suhas N. Diggavi, Martina Cardone and Christina Fragouli, Martina Cardone and László Czap, Suhas N. Diggavi and Shlomo Shamai, Suhas N. Diggavi and H.V. Poor, Suhas N. Diggavi and Yingbin Liang, Suhas N. Diggavi and Christina Fragouli, Suhas N. Diggavi and László Czap, Shlomo Shamai and H.V. Poor, Shlomo Shamai and Yingbin Liang, Shlomo Shamai and Christina Fragouli, Shlomo Shamai and László Czap, Yingbin Liang and H.V. Poor, Yingbin Liang and Christina Fragouli, Yingbin Liang and László Czap, H.V. Poor and Christina Fragouli, H.V. Poor and László Czap, Christina Fragouli and László Czap.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Iris Safaka\", \"id\": 433281}, {\"name\": \"A. Mills\", \"id\": 1116354}, {\"name\": \"Jacques Oksman\", \"id\": 315745}, {\"name\": \"S. Vishwanath\", \"id\": 1116355}, {\"name\": \"Vinod M. Prabhakaran\", \"id\": 131550}, {\"name\": \"Imre Csisz\\u00e1r\", \"id\": 74110}, {\"name\": \"Emina Soljanin\", \"id\": 84238}, {\"name\": \"Martina Cardone\", \"id\": 346387}, {\"name\": \"Suhas N. Diggavi\", \"id\": 290485}, {\"name\": \"Shlomo Shamai\", \"id\": 111546}, {\"name\": \"Yingbin Liang\", \"id\": 285851}, {\"name\": \"H.V. Poor\", \"id\": 215676}, {\"name\": \"Christina Fragouli\", \"id\": 368989}, {\"name\": \"L\\u00e1szl\\u00f3 Czap\", \"id\": 368990}], \"links\": [{\"source\": 433281, \"target\": 131550}, {\"source\": 433281, \"target\": 290485}, {\"source\": 433281, \"target\": 368989}, {\"source\": 433281, \"target\": 368990}, {\"source\": 1116354, \"target\": 368989}, {\"source\": 1116354, \"target\": 368990}, {\"source\": 1116355, \"target\": 368989}, {\"source\": 1116355, \"target\": 368990}, {\"source\": 131550, \"target\": 84238}, {\"source\": 131550, \"target\": 111546}, {\"source\": 131550, \"target\": 74110}, {\"source\": 131550, \"target\": 215676}, {\"source\": 131550, \"target\": 285851}, {\"source\": 131550, \"target\": 290485}, {\"source\": 131550, \"target\": 368989}, {\"source\": 131550, \"target\": 368990}, {\"source\": 131550, \"target\": 346387}, {\"source\": 74110, \"target\": 215676}, {\"source\": 74110, \"target\": 285851}, {\"source\": 74110, \"target\": 290485}, {\"source\": 74110, \"target\": 368989}, {\"source\": 74110, \"target\": 368990}, {\"source\": 84238, \"target\": 111546}, {\"source\": 84238, \"target\": 368989}, {\"source\": 84238, \"target\": 285851}, {\"source\": 84238, \"target\": 290485}, {\"source\": 84238, \"target\": 368990}, {\"source\": 346387, \"target\": 290485}, {\"source\": 346387, \"target\": 368989}, {\"source\": 346387, \"target\": 368990}, {\"source\": 290485, \"target\": 111546}, {\"source\": 290485, \"target\": 215676}, {\"source\": 290485, \"target\": 285851}, {\"source\": 290485, \"target\": 368989}, {\"source\": 290485, \"target\": 368990}, {\"source\": 111546, \"target\": 215676}, {\"source\": 111546, \"target\": 285851}, {\"source\": 111546, \"target\": 368989}, {\"source\": 111546, \"target\": 368990}, {\"source\": 285851, \"target\": 215676}, {\"source\": 285851, \"target\": 368989}, {\"source\": 285851, \"target\": 368990}, {\"source\": 215676, \"target\": 368989}, {\"source\": 215676, \"target\": 368990}, {\"source\": 368989, \"target\": 368990}]}",
"id": 780,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jacques Oksman, A. Mills, S. Vishwanath, Imre Csiszár, Vinod M. Prabhakaran, Iris Safaka, Emina Soljanin, Martina Cardone, Suhas N. Diggavi, Shlomo Shamai, Yingbin Liang, H.V. Poor, Christina Fragouli, László Czap\n- Research collaborations between these authors: A. Mills and Christina Fragouli, A. Mills and László Czap, S. Vishwanath and Christina Fragouli, S. Vishwanath and László Czap, Imre Csiszár and Vinod M. Prabhakaran, Imre Csiszár and H.V. Poor, Imre Csiszár and Yingbin Liang, Imre Csiszár and Suhas N. Diggavi, Imre Csiszár and Christina Fragouli, Imre Csiszár and László Czap, Vinod M. Prabhakaran and Emina Soljanin, Vinod M. Prabhakaran and Shlomo Shamai, Vinod M. Prabhakaran and H.V. Poor, Vinod M. Prabhakaran and Yingbin Liang, Vinod M. Prabhakaran and Suhas N. Diggavi, Vinod M. Prabhakaran and Christina Fragouli, Vinod M. Prabhakaran and László Czap, Vinod M. Prabhakaran and Iris Safaka, Vinod M. Prabhakaran and Martina Cardone, Iris Safaka and Suhas N. Diggavi, Iris Safaka and Christina Fragouli, Iris Safaka and László Czap, Emina Soljanin and Shlomo Shamai, Emina Soljanin and Christina Fragouli, Emina Soljanin and Yingbin Liang, Emina Soljanin and Suhas N. Diggavi, Emina Soljanin and László Czap, Martina Cardone and Suhas N. Diggavi, Martina Cardone and Christina Fragouli, Martina Cardone and László Czap, Suhas N. Diggavi and Shlomo Shamai, Suhas N. Diggavi and H.V. Poor, Suhas N. Diggavi and Yingbin Liang, Suhas N. Diggavi and Christina Fragouli, Suhas N. Diggavi and László Czap, Shlomo Shamai and H.V. Poor, Shlomo Shamai and Yingbin Liang, Shlomo Shamai and Christina Fragouli, Shlomo Shamai and László Czap, Yingbin Liang and H.V. Poor, Yingbin Liang and Christina Fragouli, Yingbin Liang and László Czap, H.V. Poor and Christina Fragouli, H.V. Poor and László Czap, Christina Fragouli and László Czap.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Peter Sussner, Marcos Eduardo Valle, Manuel Graña, Richard J. Duro, Humberto Sossa, F. X. Albizuri, Ricardo de A. Araújo, Gerhard X. Ritter, Ivan Villaverde, Mark S. Schmalz, Miguel Angel Veganzones, Paul D. Gader, Jose Manuel Lopez-Guede, Laurentiu Iancu\n- Research collaborations between these authors: Peter Sussner and Manuel Graña, Peter Sussner and Gerhard X. Ritter, Peter Sussner and Humberto Sossa, Peter Sussner and Ricardo de A. Araújo, Peter Sussner and Marcos Eduardo Valle, Peter Sussner and Ivan Villaverde, Peter Sussner and Paul D. Gader, Peter Sussner and Laurentiu Iancu, Peter Sussner and F. X. Albizuri, Marcos Eduardo Valle and Manuel Graña, Marcos Eduardo Valle and Humberto Sossa, Marcos Eduardo Valle and Ricardo de A. Araújo, Marcos Eduardo Valle and Gerhard X. Ritter, Marcos Eduardo Valle and Ivan Villaverde, Marcos Eduardo Valle and Laurentiu Iancu, Marcos Eduardo Valle and Paul D. Gader, Manuel Graña and Gerhard X. Ritter, Manuel Graña and Jose Manuel Lopez-Guede, Manuel Graña and Richard J. Duro, Manuel Graña and Miguel Angel Veganzones, Manuel Graña and Ivan Villaverde, Manuel Graña and Laurentiu Iancu, Manuel Graña and F. X. Albizuri, Manuel Graña and Paul D. Gader, Manuel Graña and Mark S. Schmalz, Manuel Graña and Humberto Sossa, Richard J. Duro and Jose Manuel Lopez-Guede, Richard J. Duro and Ivan Villaverde, Humberto Sossa and Gerhard X. Ritter, Humberto Sossa and Laurentiu Iancu, Humberto Sossa and Mark S. Schmalz, F. X. Albizuri and Ivan Villaverde, F. X. Albizuri and Gerhard X. Ritter, Ricardo de A. Araújo and Gerhard X. Ritter, Ricardo de A. Araújo and Paul D. Gader, Gerhard X. Ritter and Ivan Villaverde, Gerhard X. Ritter and Laurentiu Iancu, Gerhard X. Ritter and Mark S. Schmalz, Gerhard X. Ritter and Miguel Angel Veganzones, Gerhard X. Ritter and Paul D. Gader, Ivan Villaverde and Jose Manuel Lopez-Guede, Ivan Villaverde and Miguel Angel Veganzones, Ivan Villaverde and Laurentiu Iancu, Miguel Angel Veganzones and Paul D. Gader.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Peter Sussner\", \"id\": 59648}, {\"name\": \"Richard J. Duro\", \"id\": 32962}, {\"name\": \"Marcos Eduardo Valle\", \"id\": 59650}, {\"name\": \"Manuel Gra\\u00f1a\", \"id\": 8419}, {\"name\": \"Humberto Sossa\", \"id\": 17513}, {\"name\": \"F. X. Albizuri\", \"id\": 282637}, {\"name\": \"Ricardo de A. Ara\\u00fajo\", \"id\": 57614}, {\"name\": \"Gerhard X. Ritter\", \"id\": 12399}, {\"name\": \"Ivan Villaverde\", \"id\": 94032}, {\"name\": \"Mark S. Schmalz\", \"id\": 366065}, {\"name\": \"Miguel Angel Veganzones\", \"id\": 76464}, {\"name\": \"Paul D. Gader\", \"id\": 326161}, {\"name\": \"Jose Manuel Lopez-Guede\", \"id\": 13104}, {\"name\": \"Laurentiu Iancu\", \"id\": 118686}], \"links\": [{\"source\": 59648, \"target\": 8419}, {\"source\": 59648, \"target\": 12399}, {\"source\": 59648, \"target\": 17513}, {\"source\": 59648, \"target\": 57614}, {\"source\": 59648, \"target\": 59650}, {\"source\": 59648, \"target\": 94032}, {\"source\": 59648, \"target\": 326161}, {\"source\": 59648, \"target\": 118686}, {\"source\": 59648, \"target\": 282637}, {\"source\": 32962, \"target\": 8419}, {\"source\": 32962, \"target\": 13104}, {\"source\": 32962, \"target\": 94032}, {\"source\": 59650, \"target\": 8419}, {\"source\": 59650, \"target\": 17513}, {\"source\": 59650, \"target\": 57614}, {\"source\": 59650, \"target\": 12399}, {\"source\": 59650, \"target\": 94032}, {\"source\": 59650, \"target\": 118686}, {\"source\": 59650, \"target\": 326161}, {\"source\": 8419, \"target\": 12399}, {\"source\": 8419, \"target\": 13104}, {\"source\": 8419, \"target\": 76464}, {\"source\": 8419, \"target\": 94032}, {\"source\": 8419, \"target\": 118686}, {\"source\": 8419, \"target\": 282637}, {\"source\": 8419, \"target\": 326161}, {\"source\": 8419, \"target\": 366065}, {\"source\": 8419, \"target\": 17513}, {\"source\": 17513, \"target\": 12399}, {\"source\": 17513, \"target\": 118686}, {\"source\": 17513, \"target\": 366065}, {\"source\": 282637, \"target\": 94032}, {\"source\": 282637, \"target\": 12399}, {\"source\": 57614, \"target\": 12399}, {\"source\": 57614, \"target\": 326161}, {\"source\": 12399, \"target\": 94032}, {\"source\": 12399, \"target\": 118686}, {\"source\": 12399, \"target\": 366065}, {\"source\": 12399, \"target\": 76464}, {\"source\": 12399, \"target\": 326161}, {\"source\": 94032, \"target\": 13104}, {\"source\": 94032, \"target\": 76464}, {\"source\": 94032, \"target\": 118686}, {\"source\": 76464, \"target\": 326161}]}",
"id": 790,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Peter Sussner, Marcos Eduardo Valle, Manuel Graña, Richard J. Duro, Humberto Sossa, F. X. Albizuri, Ricardo de A. Araújo, Gerhard X. Ritter, Ivan Villaverde, Mark S. Schmalz, Miguel Angel Veganzones, Paul D. Gader, Jose Manuel Lopez-Guede, Laurentiu Iancu\n- Research collaborations between these authors: Peter Sussner and Manuel Graña, Peter Sussner and Gerhard X. Ritter, Peter Sussner and Humberto Sossa, Peter Sussner and Ricardo de A. Araújo, Peter Sussner and Marcos Eduardo Valle, Peter Sussner and Ivan Villaverde, Peter Sussner and Paul D. Gader, Peter Sussner and Laurentiu Iancu, Peter Sussner and F. X. Albizuri, Marcos Eduardo Valle and Manuel Graña, Marcos Eduardo Valle and Humberto Sossa, Marcos Eduardo Valle and Ricardo de A. Araújo, Marcos Eduardo Valle and Gerhard X. Ritter, Marcos Eduardo Valle and Ivan Villaverde, Marcos Eduardo Valle and Laurentiu Iancu, Marcos Eduardo Valle and Paul D. Gader, Manuel Graña and Gerhard X. Ritter, Manuel Graña and Jose Manuel Lopez-Guede, Manuel Graña and Richard J. Duro, Manuel Graña and Miguel Angel Veganzones, Manuel Graña and Ivan Villaverde, Manuel Graña and Laurentiu Iancu, Manuel Graña and F. X. Albizuri, Manuel Graña and Paul D. Gader, Manuel Graña and Mark S. Schmalz, Manuel Graña and Humberto Sossa, Richard J. Duro and Jose Manuel Lopez-Guede, Richard J. Duro and Ivan Villaverde, Humberto Sossa and Gerhard X. Ritter, Humberto Sossa and Laurentiu Iancu, Humberto Sossa and Mark S. Schmalz, F. X. Albizuri and Ivan Villaverde, F. X. Albizuri and Gerhard X. Ritter, Ricardo de A. Araújo and Gerhard X. Ritter, Ricardo de A. Araújo and Paul D. Gader, Gerhard X. Ritter and Ivan Villaverde, Gerhard X. Ritter and Laurentiu Iancu, Gerhard X. Ritter and Mark S. Schmalz, Gerhard X. Ritter and Miguel Angel Veganzones, Gerhard X. Ritter and Paul D. Gader, Ivan Villaverde and Jose Manuel Lopez-Guede, Ivan Villaverde and Miguel Angel Veganzones, Ivan Villaverde and Laurentiu Iancu, Miguel Angel Veganzones and Paul D. Gader.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Yu-Chee Tseng, Gunnar Rätsch, Masaki Aida, Antony I. T. Rowstron, Vivekanand Korgaonkar, Filippo Ricca, Baochun Li, Ion Stoica, Richard M. Karp, Marco Gruteser, Amin Vahdat, Peter Druschel, Yang Cai, Peter Steenkiste\n- Research collaborations between these authors: Yu-Chee Tseng and Baochun Li, Antony I. T. Rowstron and Amin Vahdat, Antony I. T. Rowstron and Ion Stoica, Antony I. T. Rowstron and Baochun Li, Antony I. T. Rowstron and Peter Druschel, Antony I. T. Rowstron and Richard M. Karp, Antony I. T. Rowstron and Peter Steenkiste, Antony I. T. Rowstron and Vivekanand Korgaonkar, Vivekanand Korgaonkar and Ion Stoica, Vivekanand Korgaonkar and Peter Druschel, Vivekanand Korgaonkar and Richard M. Karp, Baochun Li and Amin Vahdat, Baochun Li and Ion Stoica, Baochun Li and Peter Druschel, Baochun Li and Richard M. Karp, Ion Stoica and Amin Vahdat, Ion Stoica and Peter Druschel, Ion Stoica and Richard M. Karp, Ion Stoica and Peter Steenkiste, Richard M. Karp and Amin Vahdat, Richard M. Karp and Peter Druschel, Marco Gruteser and Peter Steenkiste, Marco Gruteser and Peter Druschel, Amin Vahdat and Peter Druschel, Amin Vahdat and Peter Steenkiste, Peter Druschel and Peter Steenkiste.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Yu-Chee Tseng\", \"id\": 144707}, {\"name\": \"Gunnar R\\u00e4tsch\", \"id\": 233540}, {\"name\": \"Masaki Aida\", \"id\": 256996}, {\"name\": \"Antony I. T. Rowstron\", \"id\": 127239}, {\"name\": \"Vivekanand Korgaonkar\", \"id\": 597511}, {\"name\": \"Filippo Ricca\", \"id\": 15247}, {\"name\": \"Baochun Li\", \"id\": 44210}, {\"name\": \"Ion Stoica\", \"id\": 19443}, {\"name\": \"Richard M. Karp\", \"id\": 76500}, {\"name\": \"Marco Gruteser\", \"id\": 34771}, {\"name\": \"Amin Vahdat\", \"id\": 14197}, {\"name\": \"Peter Druschel\", \"id\": 44951}, {\"name\": \"Yang Cai\", \"id\": 127580}, {\"name\": \"Peter Steenkiste\", \"id\": 231295}], \"links\": [{\"source\": 144707, \"target\": 44210}, {\"source\": 127239, \"target\": 14197}, {\"source\": 127239, \"target\": 19443}, {\"source\": 127239, \"target\": 44210}, {\"source\": 127239, \"target\": 44951}, {\"source\": 127239, \"target\": 76500}, {\"source\": 127239, \"target\": 231295}, {\"source\": 127239, \"target\": 597511}, {\"source\": 597511, \"target\": 19443}, {\"source\": 597511, \"target\": 44951}, {\"source\": 597511, \"target\": 76500}, {\"source\": 44210, \"target\": 14197}, {\"source\": 44210, \"target\": 19443}, {\"source\": 44210, \"target\": 44951}, {\"source\": 44210, \"target\": 76500}, {\"source\": 19443, \"target\": 14197}, {\"source\": 19443, \"target\": 44951}, {\"source\": 19443, \"target\": 76500}, {\"source\": 19443, \"target\": 231295}, {\"source\": 76500, \"target\": 14197}, {\"source\": 76500, \"target\": 44951}, {\"source\": 34771, \"target\": 231295}, {\"source\": 34771, \"target\": 44951}, {\"source\": 14197, \"target\": 44951}, {\"source\": 14197, \"target\": 231295}, {\"source\": 44951, \"target\": 231295}]}",
"id": 1359,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Yu-Chee Tseng, Gunnar Rätsch, Masaki Aida, Antony I. T. Rowstron, Vivekanand Korgaonkar, Filippo Ricca, Baochun Li, Ion Stoica, Richard M. Karp, Marco Gruteser, Amin Vahdat, Peter Druschel, Yang Cai, Peter Steenkiste\n- Research collaborations between these authors: Yu-Chee Tseng and Baochun Li, Antony I. T. Rowstron and Amin Vahdat, Antony I. T. Rowstron and Ion Stoica, Antony I. T. Rowstron and Baochun Li, Antony I. T. Rowstron and Peter Druschel, Antony I. T. Rowstron and Richard M. Karp, Antony I. T. Rowstron and Peter Steenkiste, Antony I. T. Rowstron and Vivekanand Korgaonkar, Vivekanand Korgaonkar and Ion Stoica, Vivekanand Korgaonkar and Peter Druschel, Vivekanand Korgaonkar and Richard M. Karp, Baochun Li and Amin Vahdat, Baochun Li and Ion Stoica, Baochun Li and Peter Druschel, Baochun Li and Richard M. Karp, Ion Stoica and Amin Vahdat, Ion Stoica and Peter Druschel, Ion Stoica and Richard M. Karp, Ion Stoica and Peter Steenkiste, Richard M. Karp and Amin Vahdat, Richard M. Karp and Peter Druschel, Marco Gruteser and Peter Steenkiste, Marco Gruteser and Peter Druschel, Amin Vahdat and Peter Druschel, Amin Vahdat and Peter Steenkiste, Peter Druschel and Peter Steenkiste.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Dongjun Zhang, Masayoshi Tomizuka, Guan Wang, Dong Sun, Yuehua Wan, Han Ding, John F. O'Brien, Nathan Michael, Jijie Xu, Zhongfei Wang, Guanfeng Liu, Zexiang Li, Bin Yao, Yunjiang Lou\n- Research collaborations between these authors: Dongjun Zhang and Yunjiang Lou, Dongjun Zhang and Zexiang Li, Masayoshi Tomizuka and Bin Yao, Masayoshi Tomizuka and Dong Sun, Masayoshi Tomizuka and Yunjiang Lou, Masayoshi Tomizuka and Zexiang Li, Guan Wang and Yunjiang Lou, Guan Wang and Zexiang Li, Dong Sun and Nathan Michael, Dong Sun and Yunjiang Lou, Yuehua Wan and Yunjiang Lou, Yuehua Wan and Zexiang Li, Han Ding and Guanfeng Liu, Han Ding and Zexiang Li, John F. O'Brien and Guanfeng Liu, John F. O'Brien and Yunjiang Lou, John F. O'Brien and Zexiang Li, Nathan Michael and Zexiang Li, Jijie Xu and Zexiang Li, Zhongfei Wang and Yunjiang Lou, Zhongfei Wang and Zexiang Li, Guanfeng Liu and Yunjiang Lou, Guanfeng Liu and Zexiang Li, Zexiang Li and Yunjiang Lou, Bin Yao and Yunjiang Lou.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Dongjun Zhang\", \"id\": 791969}, {\"name\": \"Masayoshi Tomizuka\", \"id\": 189762}, {\"name\": \"Guan Wang\", \"id\": 143585}, {\"name\": \"Dong Sun\", \"id\": 155140}, {\"name\": \"Guanfeng Liu\", \"id\": 5655}, {\"name\": \"Yuehua Wan\", \"id\": 282984}, {\"name\": \"John F. O'Brien\", \"id\": 530091}, {\"name\": \"Bin Yao\", \"id\": 142618}, {\"name\": \"Jijie Xu\", \"id\": 256147}, {\"name\": \"Zhongfei Wang\", \"id\": 606838}, {\"name\": \"Nathan Michael\", \"id\": 17367}, {\"name\": \"Zexiang Li\", \"id\": 250233}, {\"name\": \"Han Ding\", \"id\": 19706}, {\"name\": \"Yunjiang Lou\", \"id\": 250231}], \"links\": [{\"source\": 791969, \"target\": 250231}, {\"source\": 791969, \"target\": 250233}, {\"source\": 189762, \"target\": 142618}, {\"source\": 189762, \"target\": 155140}, {\"source\": 189762, \"target\": 250231}, {\"source\": 189762, \"target\": 250233}, {\"source\": 143585, \"target\": 250231}, {\"source\": 143585, \"target\": 250233}, {\"source\": 155140, \"target\": 17367}, {\"source\": 155140, \"target\": 250231}, {\"source\": 5655, \"target\": 250231}, {\"source\": 5655, \"target\": 250233}, {\"source\": 5655, \"target\": 19706}, {\"source\": 5655, \"target\": 530091}, {\"source\": 282984, \"target\": 250231}, {\"source\": 282984, \"target\": 250233}, {\"source\": 530091, \"target\": 250231}, {\"source\": 530091, \"target\": 250233}, {\"source\": 142618, \"target\": 250231}, {\"source\": 256147, \"target\": 250233}, {\"source\": 606838, \"target\": 250231}, {\"source\": 606838, \"target\": 250233}, {\"source\": 17367, \"target\": 250233}, {\"source\": 250233, \"target\": 19706}, {\"source\": 250233, \"target\": 250231}]}",
"id": 1622,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Dongjun Zhang, Masayoshi Tomizuka, Guan Wang, Dong Sun, Yuehua Wan, Han Ding, John F. O'Brien, Nathan Michael, Jijie Xu, Zhongfei Wang, Guanfeng Liu, Zexiang Li, Bin Yao, Yunjiang Lou\n- Research collaborations between these authors: Dongjun Zhang and Yunjiang Lou, Dongjun Zhang and Zexiang Li, Masayoshi Tomizuka and Bin Yao, Masayoshi Tomizuka and Dong Sun, Masayoshi Tomizuka and Yunjiang Lou, Masayoshi Tomizuka and Zexiang Li, Guan Wang and Yunjiang Lou, Guan Wang and Zexiang Li, Dong Sun and Nathan Michael, Dong Sun and Yunjiang Lou, Yuehua Wan and Yunjiang Lou, Yuehua Wan and Zexiang Li, Han Ding and Guanfeng Liu, Han Ding and Zexiang Li, John F. O'Brien and Guanfeng Liu, John F. O'Brien and Yunjiang Lou, John F. O'Brien and Zexiang Li, Nathan Michael and Zexiang Li, Jijie Xu and Zexiang Li, Zhongfei Wang and Yunjiang Lou, Zhongfei Wang and Zexiang Li, Guanfeng Liu and Yunjiang Lou, Guanfeng Liu and Zexiang Li, Zexiang Li and Yunjiang Lou, Bin Yao and Yunjiang Lou.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: João Valente, Hui Zhang, Luis Hideo Vasconcelos Nakamura, Anja Feldmann, Nick Feamster, Wilfried Daniels, Michael Mitzenmacher, David E. Culler, Subhabrata Sen, Ramin Khalili, Thomas Dreibholz, Denis F. Wolf, Jo Ueyama, Matthew Flatt\n- Research collaborations between these authors: João Valente and Jo Ueyama, Hui Zhang and David E. Culler, Hui Zhang and Subhabrata Sen, Hui Zhang and Nick Feamster, Hui Zhang and Anja Feldmann, Hui Zhang and Michael Mitzenmacher, Hui Zhang and Ramin Khalili, Luis Hideo Vasconcelos Nakamura and Jo Ueyama, Luis Hideo Vasconcelos Nakamura and Anja Feldmann, Luis Hideo Vasconcelos Nakamura and Ramin Khalili, Anja Feldmann and Subhabrata Sen, Anja Feldmann and Nick Feamster, Anja Feldmann and Michael Mitzenmacher, Anja Feldmann and Ramin Khalili, Nick Feamster and Subhabrata Sen, Nick Feamster and David E. Culler, Wilfried Daniels and David E. Culler, Wilfried Daniels and Jo Ueyama, Michael Mitzenmacher and Subhabrata Sen, David E. Culler and Jo Ueyama, Subhabrata Sen and Ramin Khalili, Ramin Khalili and Thomas Dreibholz, Denis F. Wolf and Jo Ueyama, Jo Ueyama and Matthew Flatt.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jo\\u00e3o Valente\", \"id\": 151780}, {\"name\": \"Hui Zhang\", \"id\": 1319}, {\"name\": \"Luis Hideo Vasconcelos Nakamura\", \"id\": 377866}, {\"name\": \"Anja Feldmann\", \"id\": 87850}, {\"name\": \"Nick Feamster\", \"id\": 41712}, {\"name\": \"Wilfried Daniels\", \"id\": 162196}, {\"name\": \"Michael Mitzenmacher\", \"id\": 106038}, {\"name\": \"David E. Culler\", \"id\": 9272}, {\"name\": \"Subhabrata Sen\", \"id\": 23129}, {\"name\": \"Ramin Khalili\", \"id\": 214874}, {\"name\": \"Thomas Dreibholz\", \"id\": 129980}, {\"name\": \"Denis F. Wolf\", \"id\": 80317}, {\"name\": \"Jo Ueyama\", \"id\": 71006}, {\"name\": \"Matthew Flatt\", \"id\": 396415}], \"links\": [{\"source\": 151780, \"target\": 71006}, {\"source\": 1319, \"target\": 9272}, {\"source\": 1319, \"target\": 23129}, {\"source\": 1319, \"target\": 41712}, {\"source\": 1319, \"target\": 87850}, {\"source\": 1319, \"target\": 106038}, {\"source\": 1319, \"target\": 214874}, {\"source\": 377866, \"target\": 71006}, {\"source\": 377866, \"target\": 87850}, {\"source\": 377866, \"target\": 214874}, {\"source\": 87850, \"target\": 23129}, {\"source\": 87850, \"target\": 41712}, {\"source\": 87850, \"target\": 106038}, {\"source\": 87850, \"target\": 214874}, {\"source\": 41712, \"target\": 23129}, {\"source\": 41712, \"target\": 9272}, {\"source\": 162196, \"target\": 9272}, {\"source\": 162196, \"target\": 71006}, {\"source\": 106038, \"target\": 23129}, {\"source\": 9272, \"target\": 71006}, {\"source\": 23129, \"target\": 214874}, {\"source\": 214874, \"target\": 129980}, {\"source\": 80317, \"target\": 71006}, {\"source\": 71006, \"target\": 396415}]}",
"id": 2018,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: João Valente, Hui Zhang, Luis Hideo Vasconcelos Nakamura, Anja Feldmann, Nick Feamster, Wilfried Daniels, Michael Mitzenmacher, David E. Culler, Subhabrata Sen, Ramin Khalili, Thomas Dreibholz, Denis F. Wolf, Jo Ueyama, Matthew Flatt\n- Research collaborations between these authors: João Valente and Jo Ueyama, Hui Zhang and David E. Culler, Hui Zhang and Subhabrata Sen, Hui Zhang and Nick Feamster, Hui Zhang and Anja Feldmann, Hui Zhang and Michael Mitzenmacher, Hui Zhang and Ramin Khalili, Luis Hideo Vasconcelos Nakamura and Jo Ueyama, Luis Hideo Vasconcelos Nakamura and Anja Feldmann, Luis Hideo Vasconcelos Nakamura and Ramin Khalili, Anja Feldmann and Subhabrata Sen, Anja Feldmann and Nick Feamster, Anja Feldmann and Michael Mitzenmacher, Anja Feldmann and Ramin Khalili, Nick Feamster and Subhabrata Sen, Nick Feamster and David E. Culler, Wilfried Daniels and David E. Culler, Wilfried Daniels and Jo Ueyama, Michael Mitzenmacher and Subhabrata Sen, David E. Culler and Jo Ueyama, Subhabrata Sen and Ramin Khalili, Ramin Khalili and Thomas Dreibholz, Denis F. Wolf and Jo Ueyama, Jo Ueyama and Matthew Flatt.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kate R. Rosenbloom, Donna Karolchik, Mark Diekhans, Hui Zhou, Sivakumar Gowrisankar, Laurence R. Meyer, David Haussler, Brooke Rhead, Hsien-Da Huang, Ann S. Zweig, Charles W. Sugnet, J. Seth Strattan, Kayla E. Smith, Giulio Pavesi\n- Research collaborations between these authors: Kate R. Rosenbloom and Giulio Pavesi, Kate R. Rosenbloom and Hsien-Da Huang, Kate R. Rosenbloom and Hui Zhou, Kate R. Rosenbloom and David Haussler, Kate R. Rosenbloom and Donna Karolchik, Kate R. Rosenbloom and Mark Diekhans, Kate R. Rosenbloom and Laurence R. Meyer, Kate R. Rosenbloom and Brooke Rhead, Kate R. Rosenbloom and Ann S. Zweig, Kate R. Rosenbloom and Kayla E. Smith, Kate R. Rosenbloom and Charles W. Sugnet, Kate R. Rosenbloom and J. Seth Strattan, Donna Karolchik and Giulio Pavesi, Donna Karolchik and Hsien-Da Huang, Donna Karolchik and Hui Zhou, Donna Karolchik and David Haussler, Donna Karolchik and Mark Diekhans, Donna Karolchik and Laurence R. Meyer, Donna Karolchik and Brooke Rhead, Donna Karolchik and Ann S. Zweig, Donna Karolchik and Kayla E. Smith, Donna Karolchik and Charles W. Sugnet, Donna Karolchik and J. Seth Strattan, Mark Diekhans and Giulio Pavesi, Mark Diekhans and Hsien-Da Huang, Mark Diekhans and Hui Zhou, Mark Diekhans and David Haussler, Mark Diekhans and Laurence R. Meyer, Mark Diekhans and Brooke Rhead, Mark Diekhans and Ann S. Zweig, Mark Diekhans and Kayla E. Smith, Mark Diekhans and Charles W. Sugnet, Mark Diekhans and J. Seth Strattan, Mark Diekhans and Sivakumar Gowrisankar, Hui Zhou and David Haussler, Hui Zhou and Brooke Rhead, Hui Zhou and Ann S. Zweig, Laurence R. Meyer and David Haussler, Laurence R. Meyer and Brooke Rhead, Laurence R. Meyer and Ann S. Zweig, Laurence R. Meyer and Kayla E. Smith, Laurence R. Meyer and Charles W. Sugnet, Laurence R. Meyer and J. Seth Strattan, David Haussler and Giulio Pavesi, David Haussler and Hsien-Da Huang, David Haussler and Brooke Rhead, David Haussler and Ann S. Zweig, David Haussler and Kayla E. Smith, David Haussler and Charles W. Sugnet, David Haussler and J. Seth Strattan, Brooke Rhead and Giulio Pavesi, Brooke Rhead and Hsien-Da Huang, Brooke Rhead and Ann S. Zweig, Brooke Rhead and Kayla E. Smith, Brooke Rhead and Charles W. Sugnet, Brooke Rhead and J. Seth Strattan, Hsien-Da Huang and Ann S. Zweig, Hsien-Da Huang and Kayla E. Smith, Hsien-Da Huang and Charles W. Sugnet, Ann S. Zweig and Giulio Pavesi, Ann S. Zweig and Kayla E. Smith, Ann S. Zweig and Charles W. Sugnet, Ann S. Zweig and J. Seth Strattan, Charles W. Sugnet and Giulio Pavesi, Charles W. Sugnet and Kayla E. Smith.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Kate R. Rosenbloom\", \"id\": 696608}, {\"name\": \"Donna Karolchik\", \"id\": 696613}, {\"name\": \"Mark Diekhans\", \"id\": 696615}, {\"name\": \"Hui Zhou\", \"id\": 309868}, {\"name\": \"Sivakumar Gowrisankar\", \"id\": 1063213}, {\"name\": \"Laurence R. Meyer\", \"id\": 696625}, {\"name\": \"David Haussler\", \"id\": 405170}, {\"name\": \"Brooke Rhead\", \"id\": 696627}, {\"name\": \"Hsien-Da Huang\", \"id\": 281397}, {\"name\": \"Ann S. Zweig\", \"id\": 696629}, {\"name\": \"Charles W. Sugnet\", \"id\": 918614}, {\"name\": \"J. Seth Strattan\", \"id\": 963192}, {\"name\": \"Kayla E. Smith\", \"id\": 855385}, {\"name\": \"Giulio Pavesi\", \"id\": 267578}], \"links\": [{\"source\": 696608, \"target\": 267578}, {\"source\": 696608, \"target\": 281397}, {\"source\": 696608, \"target\": 309868}, {\"source\": 696608, \"target\": 405170}, {\"source\": 696608, \"target\": 696613}, {\"source\": 696608, \"target\": 696615}, {\"source\": 696608, \"target\": 696625}, {\"source\": 696608, \"target\": 696627}, {\"source\": 696608, \"target\": 696629}, {\"source\": 696608, \"target\": 855385}, {\"source\": 696608, \"target\": 918614}, {\"source\": 696608, \"target\": 963192}, {\"source\": 696613, \"target\": 267578}, {\"source\": 696613, \"target\": 281397}, {\"source\": 696613, \"target\": 309868}, {\"source\": 696613, \"target\": 405170}, {\"source\": 696613, \"target\": 696615}, {\"source\": 696613, \"target\": 696625}, {\"source\": 696613, \"target\": 696627}, {\"source\": 696613, \"target\": 696629}, {\"source\": 696613, \"target\": 855385}, {\"source\": 696613, \"target\": 918614}, {\"source\": 696613, \"target\": 963192}, {\"source\": 696615, \"target\": 267578}, {\"source\": 696615, \"target\": 281397}, {\"source\": 696615, \"target\": 309868}, {\"source\": 696615, \"target\": 405170}, {\"source\": 696615, \"target\": 696625}, {\"source\": 696615, \"target\": 696627}, {\"source\": 696615, \"target\": 696629}, {\"source\": 696615, \"target\": 855385}, {\"source\": 696615, \"target\": 918614}, {\"source\": 696615, \"target\": 963192}, {\"source\": 696615, \"target\": 1063213}, {\"source\": 309868, \"target\": 405170}, {\"source\": 309868, \"target\": 696627}, {\"source\": 309868, \"target\": 696629}, {\"source\": 696625, \"target\": 405170}, {\"source\": 696625, \"target\": 696627}, {\"source\": 696625, \"target\": 696629}, {\"source\": 696625, \"target\": 855385}, {\"source\": 696625, \"target\": 918614}, {\"source\": 696625, \"target\": 963192}, {\"source\": 405170, \"target\": 267578}, {\"source\": 405170, \"target\": 281397}, {\"source\": 405170, \"target\": 696627}, {\"source\": 405170, \"target\": 696629}, {\"source\": 405170, \"target\": 855385}, {\"source\": 405170, \"target\": 918614}, {\"source\": 405170, \"target\": 963192}, {\"source\": 696627, \"target\": 267578}, {\"source\": 696627, \"target\": 281397}, {\"source\": 696627, \"target\": 696629}, {\"source\": 696627, \"target\": 855385}, {\"source\": 696627, \"target\": 918614}, {\"source\": 696627, \"target\": 963192}, {\"source\": 281397, \"target\": 696629}, {\"source\": 281397, \"target\": 855385}, {\"source\": 281397, \"target\": 918614}, {\"source\": 696629, \"target\": 267578}, {\"source\": 696629, \"target\": 855385}, {\"source\": 696629, \"target\": 918614}, {\"source\": 696629, \"target\": 963192}, {\"source\": 918614, \"target\": 267578}, {\"source\": 918614, \"target\": 855385}]}",
"id": 1335,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kate R. Rosenbloom, Donna Karolchik, Mark Diekhans, Hui Zhou, Sivakumar Gowrisankar, Laurence R. Meyer, David Haussler, Brooke Rhead, Hsien-Da Huang, Ann S. Zweig, Charles W. Sugnet, J. Seth Strattan, Kayla E. Smith, Giulio Pavesi\n- Research collaborations between these authors: Kate R. Rosenbloom and Giulio Pavesi, Kate R. Rosenbloom and Hsien-Da Huang, Kate R. Rosenbloom and Hui Zhou, Kate R. Rosenbloom and David Haussler, Kate R. Rosenbloom and Donna Karolchik, Kate R. Rosenbloom and Mark Diekhans, Kate R. Rosenbloom and Laurence R. Meyer, Kate R. Rosenbloom and Brooke Rhead, Kate R. Rosenbloom and Ann S. Zweig, Kate R. Rosenbloom and Kayla E. Smith, Kate R. Rosenbloom and Charles W. Sugnet, Kate R. Rosenbloom and J. Seth Strattan, Donna Karolchik and Giulio Pavesi, Donna Karolchik and Hsien-Da Huang, Donna Karolchik and Hui Zhou, Donna Karolchik and David Haussler, Donna Karolchik and Mark Diekhans, Donna Karolchik and Laurence R. Meyer, Donna Karolchik and Brooke Rhead, Donna Karolchik and Ann S. Zweig, Donna Karolchik and Kayla E. Smith, Donna Karolchik and Charles W. Sugnet, Donna Karolchik and J. Seth Strattan, Mark Diekhans and Giulio Pavesi, Mark Diekhans and Hsien-Da Huang, Mark Diekhans and Hui Zhou, Mark Diekhans and David Haussler, Mark Diekhans and Laurence R. Meyer, Mark Diekhans and Brooke Rhead, Mark Diekhans and Ann S. Zweig, Mark Diekhans and Kayla E. Smith, Mark Diekhans and Charles W. Sugnet, Mark Diekhans and J. Seth Strattan, Mark Diekhans and Sivakumar Gowrisankar, Hui Zhou and David Haussler, Hui Zhou and Brooke Rhead, Hui Zhou and Ann S. Zweig, Laurence R. Meyer and David Haussler, Laurence R. Meyer and Brooke Rhead, Laurence R. Meyer and Ann S. Zweig, Laurence R. Meyer and Kayla E. Smith, Laurence R. Meyer and Charles W. Sugnet, Laurence R. Meyer and J. Seth Strattan, David Haussler and Giulio Pavesi, David Haussler and Hsien-Da Huang, David Haussler and Brooke Rhead, David Haussler and Ann S. Zweig, David Haussler and Kayla E. Smith, David Haussler and Charles W. Sugnet, David Haussler and J. Seth Strattan, Brooke Rhead and Giulio Pavesi, Brooke Rhead and Hsien-Da Huang, Brooke Rhead and Ann S. Zweig, Brooke Rhead and Kayla E. Smith, Brooke Rhead and Charles W. Sugnet, Brooke Rhead and J. Seth Strattan, Hsien-Da Huang and Ann S. Zweig, Hsien-Da Huang and Kayla E. Smith, Hsien-Da Huang and Charles W. Sugnet, Ann S. Zweig and Giulio Pavesi, Ann S. Zweig and Kayla E. Smith, Ann S. Zweig and Charles W. Sugnet, Ann S. Zweig and J. Seth Strattan, Charles W. Sugnet and Giulio Pavesi, Charles W. Sugnet and Kayla E. Smith.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xueting Wang, Cordelia Schmid, Gang Yu, Rosalind W. Picard, Alexei A. Efros, Kenji Mase, Luc J. Van Gool, Zicheng Liu, Ivan Laptev, Jake K. Aggarwal, Vittorio Murino, Junsong Yuan, Kensho Hara, Takatsugu Hirayama\n- Research collaborations between these authors: Xueting Wang and Kenji Mase, Xueting Wang and Takatsugu Hirayama, Cordelia Schmid and Vittorio Murino, Cordelia Schmid and Luc J. Van Gool, Cordelia Schmid and Jake K. Aggarwal, Cordelia Schmid and Kenji Mase, Cordelia Schmid and Ivan Laptev, Cordelia Schmid and Alexei A. Efros, Cordelia Schmid and Zicheng Liu, Cordelia Schmid and Junsong Yuan, Cordelia Schmid and Gang Yu, Cordelia Schmid and Takatsugu Hirayama, Cordelia Schmid and Kensho Hara, Gang Yu and Kenji Mase, Gang Yu and Zicheng Liu, Gang Yu and Junsong Yuan, Gang Yu and Luc J. Van Gool, Gang Yu and Jake K. Aggarwal, Gang Yu and Ivan Laptev, Gang Yu and Takatsugu Hirayama, Gang Yu and Kensho Hara, Rosalind W. Picard and Takatsugu Hirayama, Alexei A. Efros and Vittorio Murino, Alexei A. Efros and Luc J. Van Gool, Alexei A. Efros and Ivan Laptev, Alexei A. Efros and Junsong Yuan, Kenji Mase and Vittorio Murino, Kenji Mase and Luc J. Van Gool, Kenji Mase and Ivan Laptev, Kenji Mase and Zicheng Liu, Kenji Mase and Junsong Yuan, Kenji Mase and Takatsugu Hirayama, Kenji Mase and Kensho Hara, Luc J. Van Gool and Vittorio Murino, Luc J. Van Gool and Ivan Laptev, Luc J. Van Gool and Zicheng Liu, Luc J. Van Gool and Junsong Yuan, Luc J. Van Gool and Jake K. Aggarwal, Luc J. Van Gool and Takatsugu Hirayama, Luc J. Van Gool and Kensho Hara, Zicheng Liu and Vittorio Murino, Zicheng Liu and Jake K. Aggarwal, Zicheng Liu and Ivan Laptev, Zicheng Liu and Junsong Yuan, Zicheng Liu and Takatsugu Hirayama, Zicheng Liu and Kensho Hara, Ivan Laptev and Vittorio Murino, Ivan Laptev and Jake K. Aggarwal, Ivan Laptev and Junsong Yuan, Ivan Laptev and Takatsugu Hirayama, Ivan Laptev and Kensho Hara, Jake K. Aggarwal and Vittorio Murino, Jake K. Aggarwal and Junsong Yuan, Vittorio Murino and Junsong Yuan, Junsong Yuan and Takatsugu Hirayama, Junsong Yuan and Kensho Hara, Kensho Hara and Takatsugu Hirayama.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Xueting Wang\", \"id\": 669345}, {\"name\": \"Cordelia Schmid\", \"id\": 46147}, {\"name\": \"Rosalind W. Picard\", \"id\": 60068}, {\"name\": \"Gang Yu\", \"id\": 216675}, {\"name\": \"Alexei A. Efros\", \"id\": 109321}, {\"name\": \"Kenji Mase\", \"id\": 29931}, {\"name\": \"Luc J. Van Gool\", \"id\": 7179}, {\"name\": \"Zicheng Liu\", \"id\": 109325}, {\"name\": \"Ivan Laptev\", \"id\": 52622}, {\"name\": \"Jake K. Aggarwal\", \"id\": 15339}, {\"name\": \"Vittorio Murino\", \"id\": 2031}, {\"name\": \"Junsong Yuan\", \"id\": 143027}, {\"name\": \"Kensho Hara\", \"id\": 705652}, {\"name\": \"Takatsugu Hirayama\", \"id\": 222717}], \"links\": [{\"source\": 669345, \"target\": 29931}, {\"source\": 669345, \"target\": 222717}, {\"source\": 46147, \"target\": 2031}, {\"source\": 46147, \"target\": 7179}, {\"source\": 46147, \"target\": 15339}, {\"source\": 46147, \"target\": 29931}, {\"source\": 46147, \"target\": 52622}, {\"source\": 46147, \"target\": 109321}, {\"source\": 46147, \"target\": 109325}, {\"source\": 46147, \"target\": 143027}, {\"source\": 46147, \"target\": 216675}, {\"source\": 46147, \"target\": 222717}, {\"source\": 46147, \"target\": 705652}, {\"source\": 60068, \"target\": 222717}, {\"source\": 216675, \"target\": 29931}, {\"source\": 216675, \"target\": 109325}, {\"source\": 216675, \"target\": 143027}, {\"source\": 216675, \"target\": 7179}, {\"source\": 216675, \"target\": 15339}, {\"source\": 216675, \"target\": 52622}, {\"source\": 216675, \"target\": 222717}, {\"source\": 216675, \"target\": 705652}, {\"source\": 109321, \"target\": 2031}, {\"source\": 109321, \"target\": 7179}, {\"source\": 109321, \"target\": 52622}, {\"source\": 109321, \"target\": 143027}, {\"source\": 29931, \"target\": 2031}, {\"source\": 29931, \"target\": 7179}, {\"source\": 29931, \"target\": 52622}, {\"source\": 29931, \"target\": 109325}, {\"source\": 29931, \"target\": 143027}, {\"source\": 29931, \"target\": 222717}, {\"source\": 29931, \"target\": 705652}, {\"source\": 7179, \"target\": 2031}, {\"source\": 7179, \"target\": 52622}, {\"source\": 7179, \"target\": 109325}, {\"source\": 7179, \"target\": 143027}, {\"source\": 7179, \"target\": 15339}, {\"source\": 7179, \"target\": 222717}, {\"source\": 7179, \"target\": 705652}, {\"source\": 109325, \"target\": 2031}, {\"source\": 109325, \"target\": 15339}, {\"source\": 109325, \"target\": 52622}, {\"source\": 109325, \"target\": 143027}, {\"source\": 109325, \"target\": 222717}, {\"source\": 109325, \"target\": 705652}, {\"source\": 52622, \"target\": 2031}, {\"source\": 52622, \"target\": 15339}, {\"source\": 52622, \"target\": 143027}, {\"source\": 52622, \"target\": 222717}, {\"source\": 52622, \"target\": 705652}, {\"source\": 15339, \"target\": 2031}, {\"source\": 15339, \"target\": 143027}, {\"source\": 2031, \"target\": 143027}, {\"source\": 143027, \"target\": 222717}, {\"source\": 143027, \"target\": 705652}, {\"source\": 705652, \"target\": 222717}]}",
"id": 2302,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xueting Wang, Cordelia Schmid, Gang Yu, Rosalind W. Picard, Alexei A. Efros, Kenji Mase, Luc J. Van Gool, Zicheng Liu, Ivan Laptev, Jake K. Aggarwal, Vittorio Murino, Junsong Yuan, Kensho Hara, Takatsugu Hirayama\n- Research collaborations between these authors: Xueting Wang and Kenji Mase, Xueting Wang and Takatsugu Hirayama, Cordelia Schmid and Vittorio Murino, Cordelia Schmid and Luc J. Van Gool, Cordelia Schmid and Jake K. Aggarwal, Cordelia Schmid and Kenji Mase, Cordelia Schmid and Ivan Laptev, Cordelia Schmid and Alexei A. Efros, Cordelia Schmid and Zicheng Liu, Cordelia Schmid and Junsong Yuan, Cordelia Schmid and Gang Yu, Cordelia Schmid and Takatsugu Hirayama, Cordelia Schmid and Kensho Hara, Gang Yu and Kenji Mase, Gang Yu and Zicheng Liu, Gang Yu and Junsong Yuan, Gang Yu and Luc J. Van Gool, Gang Yu and Jake K. Aggarwal, Gang Yu and Ivan Laptev, Gang Yu and Takatsugu Hirayama, Gang Yu and Kensho Hara, Rosalind W. Picard and Takatsugu Hirayama, Alexei A. Efros and Vittorio Murino, Alexei A. Efros and Luc J. Van Gool, Alexei A. Efros and Ivan Laptev, Alexei A. Efros and Junsong Yuan, Kenji Mase and Vittorio Murino, Kenji Mase and Luc J. Van Gool, Kenji Mase and Ivan Laptev, Kenji Mase and Zicheng Liu, Kenji Mase and Junsong Yuan, Kenji Mase and Takatsugu Hirayama, Kenji Mase and Kensho Hara, Luc J. Van Gool and Vittorio Murino, Luc J. Van Gool and Ivan Laptev, Luc J. Van Gool and Zicheng Liu, Luc J. Van Gool and Junsong Yuan, Luc J. Van Gool and Jake K. Aggarwal, Luc J. Van Gool and Takatsugu Hirayama, Luc J. Van Gool and Kensho Hara, Zicheng Liu and Vittorio Murino, Zicheng Liu and Jake K. Aggarwal, Zicheng Liu and Ivan Laptev, Zicheng Liu and Junsong Yuan, Zicheng Liu and Takatsugu Hirayama, Zicheng Liu and Kensho Hara, Ivan Laptev and Vittorio Murino, Ivan Laptev and Jake K. Aggarwal, Ivan Laptev and Junsong Yuan, Ivan Laptev and Takatsugu Hirayama, Ivan Laptev and Kensho Hara, Jake K. Aggarwal and Vittorio Murino, Jake K. Aggarwal and Junsong Yuan, Vittorio Murino and Junsong Yuan, Junsong Yuan and Takatsugu Hirayama, Junsong Yuan and Kensho Hara, Kensho Hara and Takatsugu Hirayama.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Reinhard Schneider, Swarup Mohalik, Pascal Sainrat, Traian Pop, Panagiotis Demestichas, Xue Liu, Gilles B. Defo, Petru Eles, Zebo Peng, Alexander Viehl, Rolf Ernst, Arkadeb Ghosal, Eduardo Quiñones, Thilo Demmeler\n- Research collaborations between these authors: Reinhard Schneider and Petru Eles, Reinhard Schneider and Zebo Peng, Reinhard Schneider and Traian Pop, Reinhard Schneider and Arkadeb Ghosal, Swarup Mohalik and Petru Eles, Swarup Mohalik and Zebo Peng, Swarup Mohalik and Traian Pop, Pascal Sainrat and Rolf Ernst, Pascal Sainrat and Eduardo Quiñones, Traian Pop and Rolf Ernst, Traian Pop and Xue Liu, Traian Pop and Petru Eles, Traian Pop and Zebo Peng, Traian Pop and Alexander Viehl, Traian Pop and Thilo Demmeler, Traian Pop and Gilles B. Defo, Traian Pop and Arkadeb Ghosal, Xue Liu and Petru Eles, Xue Liu and Zebo Peng, Xue Liu and Arkadeb Ghosal, Gilles B. Defo and Petru Eles, Gilles B. Defo and Zebo Peng, Petru Eles and Rolf Ernst, Petru Eles and Zebo Peng, Petru Eles and Arkadeb Ghosal, Petru Eles and Thilo Demmeler, Petru Eles and Eduardo Quiñones, Petru Eles and Alexander Viehl, Zebo Peng and Rolf Ernst, Zebo Peng and Arkadeb Ghosal, Zebo Peng and Thilo Demmeler, Zebo Peng and Eduardo Quiñones, Zebo Peng and Alexander Viehl, Alexander Viehl and Rolf Ernst, Rolf Ernst and Eduardo Quiñones, Rolf Ernst and Arkadeb Ghosal.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Reinhard Schneider\", \"id\": 187298}, {\"name\": \"Swarup Mohalik\", \"id\": 388325}, {\"name\": \"Pascal Sainrat\", \"id\": 32808}, {\"name\": \"Traian Pop\", \"id\": 230316}, {\"name\": \"Panagiotis Demestichas\", \"id\": 106766}, {\"name\": \"Xue Liu\", \"id\": 26672}, {\"name\": \"Petru Eles\", \"id\": 147090}, {\"name\": \"Zebo Peng\", \"id\": 147091}, {\"name\": \"Arkadeb Ghosal\", \"id\": 360827}, {\"name\": \"Alexander Viehl\", \"id\": 228631}, {\"name\": \"Rolf Ernst\", \"id\": 22808}, {\"name\": \"Gilles B. Defo\", \"id\": 305467}, {\"name\": \"Eduardo Qui\\u00f1ones\", \"id\": 192734}, {\"name\": \"Thilo Demmeler\", \"id\": 781471}], \"links\": [{\"source\": 187298, \"target\": 147090}, {\"source\": 187298, \"target\": 147091}, {\"source\": 187298, \"target\": 230316}, {\"source\": 187298, \"target\": 360827}, {\"source\": 388325, \"target\": 147090}, {\"source\": 388325, \"target\": 147091}, {\"source\": 388325, \"target\": 230316}, {\"source\": 32808, \"target\": 22808}, {\"source\": 32808, \"target\": 192734}, {\"source\": 230316, \"target\": 22808}, {\"source\": 230316, \"target\": 26672}, {\"source\": 230316, \"target\": 147090}, {\"source\": 230316, \"target\": 147091}, {\"source\": 230316, \"target\": 228631}, {\"source\": 230316, \"target\": 781471}, {\"source\": 230316, \"target\": 305467}, {\"source\": 230316, \"target\": 360827}, {\"source\": 26672, \"target\": 147090}, {\"source\": 26672, \"target\": 147091}, {\"source\": 26672, \"target\": 360827}, {\"source\": 147090, \"target\": 22808}, {\"source\": 147090, \"target\": 147091}, {\"source\": 147090, \"target\": 360827}, {\"source\": 147090, \"target\": 781471}, {\"source\": 147090, \"target\": 192734}, {\"source\": 147090, \"target\": 228631}, {\"source\": 147090, \"target\": 305467}, {\"source\": 147091, \"target\": 22808}, {\"source\": 147091, \"target\": 360827}, {\"source\": 147091, \"target\": 781471}, {\"source\": 147091, \"target\": 192734}, {\"source\": 147091, \"target\": 228631}, {\"source\": 147091, \"target\": 305467}, {\"source\": 360827, \"target\": 22808}, {\"source\": 228631, \"target\": 22808}, {\"source\": 22808, \"target\": 192734}]}",
"id": 1014,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Reinhard Schneider, Swarup Mohalik, Pascal Sainrat, Traian Pop, Panagiotis Demestichas, Xue Liu, Gilles B. Defo, Petru Eles, Zebo Peng, Alexander Viehl, Rolf Ernst, Arkadeb Ghosal, Eduardo Quiñones, Thilo Demmeler\n- Research collaborations between these authors: Reinhard Schneider and Petru Eles, Reinhard Schneider and Zebo Peng, Reinhard Schneider and Traian Pop, Reinhard Schneider and Arkadeb Ghosal, Swarup Mohalik and Petru Eles, Swarup Mohalik and Zebo Peng, Swarup Mohalik and Traian Pop, Pascal Sainrat and Rolf Ernst, Pascal Sainrat and Eduardo Quiñones, Traian Pop and Rolf Ernst, Traian Pop and Xue Liu, Traian Pop and Petru Eles, Traian Pop and Zebo Peng, Traian Pop and Alexander Viehl, Traian Pop and Thilo Demmeler, Traian Pop and Gilles B. Defo, Traian Pop and Arkadeb Ghosal, Xue Liu and Petru Eles, Xue Liu and Zebo Peng, Xue Liu and Arkadeb Ghosal, Gilles B. Defo and Petru Eles, Gilles B. Defo and Zebo Peng, Petru Eles and Rolf Ernst, Petru Eles and Zebo Peng, Petru Eles and Arkadeb Ghosal, Petru Eles and Thilo Demmeler, Petru Eles and Eduardo Quiñones, Petru Eles and Alexander Viehl, Zebo Peng and Rolf Ernst, Zebo Peng and Arkadeb Ghosal, Zebo Peng and Thilo Demmeler, Zebo Peng and Eduardo Quiñones, Zebo Peng and Alexander Viehl, Alexander Viehl and Rolf Ernst, Rolf Ernst and Eduardo Quiñones, Rolf Ernst and Arkadeb Ghosal.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Walter Daelemans, Efstathios Stamatatos, Jie Zhang, Shlomo Argamon, Antonio Theophilo, Upendra Sapkota, Rachel Greenstadt, Walter J. Scheirer, Nicu Sebe, Pradeep Varakantham, Moshe Koppel, Benno Stein, Hsinchun Chen, Bing Liu\n- Research collaborations between these authors: Walter Daelemans and Benno Stein, Walter Daelemans and Moshe Koppel, Walter Daelemans and Bing Liu, Walter Daelemans and Shlomo Argamon, Walter Daelemans and Efstathios Stamatatos, Walter Daelemans and Upendra Sapkota, Efstathios Stamatatos and Hsinchun Chen, Efstathios Stamatatos and Benno Stein, Efstathios Stamatatos and Bing Liu, Efstathios Stamatatos and Rachel Greenstadt, Efstathios Stamatatos and Moshe Koppel, Efstathios Stamatatos and Shlomo Argamon, Efstathios Stamatatos and Walter J. Scheirer, Efstathios Stamatatos and Upendra Sapkota, Efstathios Stamatatos and Antonio Theophilo, Jie Zhang and Bing Liu, Jie Zhang and Rachel Greenstadt, Shlomo Argamon and Hsinchun Chen, Shlomo Argamon and Benno Stein, Shlomo Argamon and Bing Liu, Shlomo Argamon and Rachel Greenstadt, Shlomo Argamon and Moshe Koppel, Shlomo Argamon and Upendra Sapkota, Antonio Theophilo and Rachel Greenstadt, Antonio Theophilo and Moshe Koppel, Antonio Theophilo and Walter J. Scheirer, Upendra Sapkota and Moshe Koppel, Rachel Greenstadt and Hsinchun Chen, Rachel Greenstadt and Moshe Koppel, Rachel Greenstadt and Pradeep Varakantham, Rachel Greenstadt and Walter J. Scheirer, Walter J. Scheirer and Moshe Koppel, Moshe Koppel and Hsinchun Chen, Moshe Koppel and Benno Stein, Moshe Koppel and Bing Liu, Benno Stein and Bing Liu, Hsinchun Chen and Bing Liu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Walter Daelemans\", \"id\": 35584}, {\"name\": \"Efstathios Stamatatos\", \"id\": 59842}, {\"name\": \"Jie Zhang\", \"id\": 20835}, {\"name\": \"Shlomo Argamon\", \"id\": 56645}, {\"name\": \"Antonio Theophilo\", \"id\": 1274217}, {\"name\": \"Upendra Sapkota\", \"id\": 325610}, {\"name\": \"Rachel Greenstadt\", \"id\": 15275}, {\"name\": \"Walter J. Scheirer\", \"id\": 185356}, {\"name\": \"Nicu Sebe\", \"id\": 111371}, {\"name\": \"Pradeep Varakantham\", \"id\": 59280}, {\"name\": \"Moshe Koppel\", \"id\": 22386}, {\"name\": \"Benno Stein\", \"id\": 2643}, {\"name\": \"Hsinchun Chen\", \"id\": 188}, {\"name\": \"Bing Liu\", \"id\": 9822}], \"links\": [{\"source\": 35584, \"target\": 2643}, {\"source\": 35584, \"target\": 22386}, {\"source\": 35584, \"target\": 9822}, {\"source\": 35584, \"target\": 56645}, {\"source\": 35584, \"target\": 59842}, {\"source\": 35584, \"target\": 325610}, {\"source\": 59842, \"target\": 188}, {\"source\": 59842, \"target\": 2643}, {\"source\": 59842, \"target\": 9822}, {\"source\": 59842, \"target\": 15275}, {\"source\": 59842, \"target\": 22386}, {\"source\": 59842, \"target\": 56645}, {\"source\": 59842, \"target\": 185356}, {\"source\": 59842, \"target\": 325610}, {\"source\": 59842, \"target\": 1274217}, {\"source\": 20835, \"target\": 9822}, {\"source\": 20835, \"target\": 15275}, {\"source\": 56645, \"target\": 188}, {\"source\": 56645, \"target\": 2643}, {\"source\": 56645, \"target\": 9822}, {\"source\": 56645, \"target\": 15275}, {\"source\": 56645, \"target\": 22386}, {\"source\": 56645, \"target\": 325610}, {\"source\": 1274217, \"target\": 15275}, {\"source\": 1274217, \"target\": 22386}, {\"source\": 1274217, \"target\": 185356}, {\"source\": 325610, \"target\": 22386}, {\"source\": 15275, \"target\": 188}, {\"source\": 15275, \"target\": 22386}, {\"source\": 15275, \"target\": 59280}, {\"source\": 15275, \"target\": 185356}, {\"source\": 185356, \"target\": 22386}, {\"source\": 22386, \"target\": 188}, {\"source\": 22386, \"target\": 2643}, {\"source\": 22386, \"target\": 9822}, {\"source\": 2643, \"target\": 9822}, {\"source\": 188, \"target\": 9822}]}",
"id": 75,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Walter Daelemans, Efstathios Stamatatos, Jie Zhang, Shlomo Argamon, Antonio Theophilo, Upendra Sapkota, Rachel Greenstadt, Walter J. Scheirer, Nicu Sebe, Pradeep Varakantham, Moshe Koppel, Benno Stein, Hsinchun Chen, Bing Liu\n- Research collaborations between these authors: Walter Daelemans and Benno Stein, Walter Daelemans and Moshe Koppel, Walter Daelemans and Bing Liu, Walter Daelemans and Shlomo Argamon, Walter Daelemans and Efstathios Stamatatos, Walter Daelemans and Upendra Sapkota, Efstathios Stamatatos and Hsinchun Chen, Efstathios Stamatatos and Benno Stein, Efstathios Stamatatos and Bing Liu, Efstathios Stamatatos and Rachel Greenstadt, Efstathios Stamatatos and Moshe Koppel, Efstathios Stamatatos and Shlomo Argamon, Efstathios Stamatatos and Walter J. Scheirer, Efstathios Stamatatos and Upendra Sapkota, Efstathios Stamatatos and Antonio Theophilo, Jie Zhang and Bing Liu, Jie Zhang and Rachel Greenstadt, Shlomo Argamon and Hsinchun Chen, Shlomo Argamon and Benno Stein, Shlomo Argamon and Bing Liu, Shlomo Argamon and Rachel Greenstadt, Shlomo Argamon and Moshe Koppel, Shlomo Argamon and Upendra Sapkota, Antonio Theophilo and Rachel Greenstadt, Antonio Theophilo and Moshe Koppel, Antonio Theophilo and Walter J. Scheirer, Upendra Sapkota and Moshe Koppel, Rachel Greenstadt and Hsinchun Chen, Rachel Greenstadt and Moshe Koppel, Rachel Greenstadt and Pradeep Varakantham, Rachel Greenstadt and Walter J. Scheirer, Walter J. Scheirer and Moshe Koppel, Moshe Koppel and Hsinchun Chen, Moshe Koppel and Benno Stein, Moshe Koppel and Bing Liu, Benno Stein and Bing Liu, Hsinchun Chen and Bing Liu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Ray Jade Chen, Guillermo Sapiro, Mario Fernando Montenegro Campos, Eli Shechtman, Steve Halligan, Li Wang, Christos Davatzikos, Shuicheng Yan, Liang Wang, Tao Zhou, Sylvain Lefebvre, Kai Yu, Yinglu Liu, Jean Ponce\n- Research collaborations between these authors: Guillermo Sapiro and Shuicheng Yan, Guillermo Sapiro and Li Wang, Guillermo Sapiro and Kai Yu, Guillermo Sapiro and Liang Wang, Guillermo Sapiro and Jean Ponce, Guillermo Sapiro and Christos Davatzikos, Guillermo Sapiro and Eli Shechtman, Mario Fernando Montenegro Campos and Shuicheng Yan, Mario Fernando Montenegro Campos and Kai Yu, Mario Fernando Montenegro Campos and Jean Ponce, Eli Shechtman and Shuicheng Yan, Eli Shechtman and Li Wang, Eli Shechtman and Liang Wang, Eli Shechtman and Jean Ponce, Eli Shechtman and Kai Yu, Eli Shechtman and Sylvain Lefebvre, Li Wang and Shuicheng Yan, Li Wang and Kai Yu, Li Wang and Christos Davatzikos, Li Wang and Jean Ponce, Shuicheng Yan and Kai Yu, Shuicheng Yan and Liang Wang, Shuicheng Yan and Jean Ponce, Shuicheng Yan and Tao Zhou, Liang Wang and Kai Yu, Liang Wang and Jean Ponce, Tao Zhou and Kai Yu, Kai Yu and Jean Ponce, Kai Yu and Yinglu Liu, Yinglu Liu and Jean Ponce.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Ray Jade Chen\", \"id\": 806912}, {\"name\": \"Guillermo Sapiro\", \"id\": 169632}, {\"name\": \"Kai Yu\", \"id\": 7480}, {\"name\": \"Mario Fernando Montenegro Campos\", \"id\": 62564}, {\"name\": \"Eli Shechtman\", \"id\": 386668}, {\"name\": \"Yinglu Liu\", \"id\": 60603}, {\"name\": \"Steve Halligan\", \"id\": 14030}, {\"name\": \"Christos Davatzikos\", \"id\": 41681}, {\"name\": \"Liang Wang\", \"id\": 25875}, {\"name\": \"Tao Zhou\", \"id\": 15379}, {\"name\": \"Sylvain Lefebvre\", \"id\": 230774}, {\"name\": \"Li Wang\", \"id\": 5848}, {\"name\": \"Shuicheng Yan\", \"id\": 379}, {\"name\": \"Jean Ponce\", \"id\": 146268}], \"links\": [{\"source\": 169632, \"target\": 379}, {\"source\": 169632, \"target\": 5848}, {\"source\": 169632, \"target\": 7480}, {\"source\": 169632, \"target\": 25875}, {\"source\": 169632, \"target\": 146268}, {\"source\": 169632, \"target\": 41681}, {\"source\": 169632, \"target\": 386668}, {\"source\": 7480, \"target\": 379}, {\"source\": 7480, \"target\": 5848}, {\"source\": 7480, \"target\": 146268}, {\"source\": 7480, \"target\": 15379}, {\"source\": 7480, \"target\": 25875}, {\"source\": 7480, \"target\": 60603}, {\"source\": 7480, \"target\": 62564}, {\"source\": 7480, \"target\": 386668}, {\"source\": 62564, \"target\": 379}, {\"source\": 62564, \"target\": 146268}, {\"source\": 386668, \"target\": 379}, {\"source\": 386668, \"target\": 5848}, {\"source\": 386668, \"target\": 25875}, {\"source\": 386668, \"target\": 146268}, {\"source\": 386668, \"target\": 230774}, {\"source\": 60603, \"target\": 146268}, {\"source\": 41681, \"target\": 5848}, {\"source\": 25875, \"target\": 379}, {\"source\": 25875, \"target\": 146268}, {\"source\": 15379, \"target\": 379}, {\"source\": 5848, \"target\": 379}, {\"source\": 5848, \"target\": 146268}, {\"source\": 379, \"target\": 146268}]}",
"id": 258,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Ray Jade Chen, Guillermo Sapiro, Mario Fernando Montenegro Campos, Eli Shechtman, Steve Halligan, Li Wang, Christos Davatzikos, Shuicheng Yan, Liang Wang, Tao Zhou, Sylvain Lefebvre, Kai Yu, Yinglu Liu, Jean Ponce\n- Research collaborations between these authors: Guillermo Sapiro and Shuicheng Yan, Guillermo Sapiro and Li Wang, Guillermo Sapiro and Kai Yu, Guillermo Sapiro and Liang Wang, Guillermo Sapiro and Jean Ponce, Guillermo Sapiro and Christos Davatzikos, Guillermo Sapiro and Eli Shechtman, Mario Fernando Montenegro Campos and Shuicheng Yan, Mario Fernando Montenegro Campos and Kai Yu, Mario Fernando Montenegro Campos and Jean Ponce, Eli Shechtman and Shuicheng Yan, Eli Shechtman and Li Wang, Eli Shechtman and Liang Wang, Eli Shechtman and Jean Ponce, Eli Shechtman and Kai Yu, Eli Shechtman and Sylvain Lefebvre, Li Wang and Shuicheng Yan, Li Wang and Kai Yu, Li Wang and Christos Davatzikos, Li Wang and Jean Ponce, Shuicheng Yan and Kai Yu, Shuicheng Yan and Liang Wang, Shuicheng Yan and Jean Ponce, Shuicheng Yan and Tao Zhou, Liang Wang and Kai Yu, Liang Wang and Jean Ponce, Tao Zhou and Kai Yu, Kai Yu and Jean Ponce, Kai Yu and Yinglu Liu, Yinglu Liu and Jean Ponce.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Andreas F. Molisch, Masoumeh Nasiri-Kenari, Saeed Mashhadi, Yuhan Dong, C.R.C.M. da Silva, L.B. Milstein, Moe Z. Win, Yuan Shen, Jawad A. Salehi, Mohammad Vahid Jamali, Dajana Cassioli, Robert A. Scholtz, Farhad Akhoundi, Jeffrey G. Andrews\n- Research collaborations between these authors: Andreas F. Molisch and Jeffrey G. Andrews, Andreas F. Molisch and Yuan Shen, Andreas F. Molisch and Moe Z. Win, Andreas F. Molisch and Dajana Cassioli, Andreas F. Molisch and Robert A. Scholtz, Andreas F. Molisch and L.B. Milstein, Andreas F. Molisch and C.R.C.M. da Silva, Masoumeh Nasiri-Kenari and Jeffrey G. Andrews, Masoumeh Nasiri-Kenari and Jawad A. Salehi, Masoumeh Nasiri-Kenari and Moe Z. Win, Masoumeh Nasiri-Kenari and Saeed Mashhadi, Saeed Mashhadi and Jawad A. Salehi, Saeed Mashhadi and Moe Z. Win, Saeed Mashhadi and L.B. Milstein, Saeed Mashhadi and C.R.C.M. da Silva, Yuhan Dong and Jawad A. Salehi, Yuhan Dong and Mohammad Vahid Jamali, Yuhan Dong and Farhad Akhoundi, C.R.C.M. da Silva and Jawad A. Salehi, C.R.C.M. da Silva and Moe Z. Win, C.R.C.M. da Silva and Dajana Cassioli, L.B. Milstein and Jawad A. Salehi, L.B. Milstein and Moe Z. Win, L.B. Milstein and Dajana Cassioli, Moe Z. Win and Jeffrey G. Andrews, Moe Z. Win and Yuan Shen, Moe Z. Win and Jawad A. Salehi, Moe Z. Win and Dajana Cassioli, Moe Z. Win and Robert A. Scholtz, Yuan Shen and Dajana Cassioli, Yuan Shen and Robert A. Scholtz, Jawad A. Salehi and Jeffrey G. Andrews, Jawad A. Salehi and Robert A. Scholtz, Jawad A. Salehi and Farhad Akhoundi, Jawad A. Salehi and Mohammad Vahid Jamali, Mohammad Vahid Jamali and Farhad Akhoundi, Dajana Cassioli and Robert A. Scholtz.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Andreas F. Molisch\", \"id\": 254049}, {\"name\": \"Masoumeh Nasiri-Kenari\", \"id\": 203137}, {\"name\": \"Dajana Cassioli\", \"id\": 335737}, {\"name\": \"Yuhan Dong\", \"id\": 358314}, {\"name\": \"Jeffrey G. Andrews\", \"id\": 134719}, {\"name\": \"C.R.C.M. da Silva\", \"id\": 1035950}, {\"name\": \"L.B. Milstein\", \"id\": 454894}, {\"name\": \"Moe Z. Win\", \"id\": 257904}, {\"name\": \"Jawad A. Salehi\", \"id\": 241685}, {\"name\": \"Mohammad Vahid Jamali\", \"id\": 1015063}, {\"name\": \"Saeed Mashhadi\", \"id\": 327001}, {\"name\": \"Robert A. Scholtz\", \"id\": 459163}, {\"name\": \"Farhad Akhoundi\", \"id\": 756637}, {\"name\": \"Yuan Shen\", \"id\": 149247}], \"links\": [{\"source\": 254049, \"target\": 134719}, {\"source\": 254049, \"target\": 149247}, {\"source\": 254049, \"target\": 257904}, {\"source\": 254049, \"target\": 335737}, {\"source\": 254049, \"target\": 459163}, {\"source\": 254049, \"target\": 454894}, {\"source\": 254049, \"target\": 1035950}, {\"source\": 203137, \"target\": 134719}, {\"source\": 203137, \"target\": 241685}, {\"source\": 203137, \"target\": 257904}, {\"source\": 203137, \"target\": 327001}, {\"source\": 335737, \"target\": 149247}, {\"source\": 335737, \"target\": 257904}, {\"source\": 335737, \"target\": 459163}, {\"source\": 335737, \"target\": 454894}, {\"source\": 335737, \"target\": 1035950}, {\"source\": 358314, \"target\": 241685}, {\"source\": 358314, \"target\": 1015063}, {\"source\": 358314, \"target\": 756637}, {\"source\": 134719, \"target\": 257904}, {\"source\": 134719, \"target\": 241685}, {\"source\": 1035950, \"target\": 241685}, {\"source\": 1035950, \"target\": 327001}, {\"source\": 1035950, \"target\": 257904}, {\"source\": 454894, \"target\": 241685}, {\"source\": 454894, \"target\": 327001}, {\"source\": 454894, \"target\": 257904}, {\"source\": 257904, \"target\": 149247}, {\"source\": 257904, \"target\": 241685}, {\"source\": 257904, \"target\": 459163}, {\"source\": 257904, \"target\": 327001}, {\"source\": 241685, \"target\": 327001}, {\"source\": 241685, \"target\": 459163}, {\"source\": 241685, \"target\": 756637}, {\"source\": 241685, \"target\": 1015063}, {\"source\": 1015063, \"target\": 756637}, {\"source\": 459163, \"target\": 149247}]}",
"id": 2912,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Andreas F. Molisch, Masoumeh Nasiri-Kenari, Saeed Mashhadi, Yuhan Dong, C.R.C.M. da Silva, L.B. Milstein, Moe Z. Win, Yuan Shen, Jawad A. Salehi, Mohammad Vahid Jamali, Dajana Cassioli, Robert A. Scholtz, Farhad Akhoundi, Jeffrey G. Andrews\n- Research collaborations between these authors: Andreas F. Molisch and Jeffrey G. Andrews, Andreas F. Molisch and Yuan Shen, Andreas F. Molisch and Moe Z. Win, Andreas F. Molisch and Dajana Cassioli, Andreas F. Molisch and Robert A. Scholtz, Andreas F. Molisch and L.B. Milstein, Andreas F. Molisch and C.R.C.M. da Silva, Masoumeh Nasiri-Kenari and Jeffrey G. Andrews, Masoumeh Nasiri-Kenari and Jawad A. Salehi, Masoumeh Nasiri-Kenari and Moe Z. Win, Masoumeh Nasiri-Kenari and Saeed Mashhadi, Saeed Mashhadi and Jawad A. Salehi, Saeed Mashhadi and Moe Z. Win, Saeed Mashhadi and L.B. Milstein, Saeed Mashhadi and C.R.C.M. da Silva, Yuhan Dong and Jawad A. Salehi, Yuhan Dong and Mohammad Vahid Jamali, Yuhan Dong and Farhad Akhoundi, C.R.C.M. da Silva and Jawad A. Salehi, C.R.C.M. da Silva and Moe Z. Win, C.R.C.M. da Silva and Dajana Cassioli, L.B. Milstein and Jawad A. Salehi, L.B. Milstein and Moe Z. Win, L.B. Milstein and Dajana Cassioli, Moe Z. Win and Jeffrey G. Andrews, Moe Z. Win and Yuan Shen, Moe Z. Win and Jawad A. Salehi, Moe Z. Win and Dajana Cassioli, Moe Z. Win and Robert A. Scholtz, Yuan Shen and Dajana Cassioli, Yuan Shen and Robert A. Scholtz, Jawad A. Salehi and Jeffrey G. Andrews, Jawad A. Salehi and Robert A. Scholtz, Jawad A. Salehi and Farhad Akhoundi, Jawad A. Salehi and Mohammad Vahid Jamali, Mohammad Vahid Jamali and Farhad Akhoundi, Dajana Cassioli and Robert A. Scholtz.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Ovidiu Daescu, Chuchu Fan, Scott A. Smolka, Flavio H. Fenton, James Glimm, Md. Ariful Islam, Elizabeth M. Cherry, Houssam Abbas, George J. Pappas, Ezio Bartocci, Sayan Mitra, Radu Grosu, Rahul Mangharam, Zhihao Jiang\n- Research collaborations between these authors: Ovidiu Daescu and Md. Ariful Islam, Chuchu Fan and Scott A. Smolka, Chuchu Fan and Radu Grosu, Chuchu Fan and Sayan Mitra, Chuchu Fan and Md. Ariful Islam, Chuchu Fan and Ezio Bartocci, Chuchu Fan and Rahul Mangharam, Chuchu Fan and Zhihao Jiang, Scott A. Smolka and Ezio Bartocci, Scott A. Smolka and George J. Pappas, Scott A. Smolka and Radu Grosu, Scott A. Smolka and Sayan Mitra, Scott A. Smolka and Flavio H. Fenton, Scott A. Smolka and James Glimm, Scott A. Smolka and Md. Ariful Islam, Scott A. Smolka and Elizabeth M. Cherry, Scott A. Smolka and Houssam Abbas, Scott A. Smolka and Rahul Mangharam, Scott A. Smolka and Zhihao Jiang, Flavio H. Fenton and Ezio Bartocci, Flavio H. Fenton and Houssam Abbas, Flavio H. Fenton and Radu Grosu, Flavio H. Fenton and George J. Pappas, Flavio H. Fenton and James Glimm, Flavio H. Fenton and Md. Ariful Islam, Flavio H. Fenton and Elizabeth M. Cherry, Flavio H. Fenton and Rahul Mangharam, Flavio H. Fenton and Zhihao Jiang, James Glimm and Ezio Bartocci, James Glimm and Radu Grosu, James Glimm and George J. Pappas, James Glimm and Md. Ariful Islam, James Glimm and Elizabeth M. Cherry, James Glimm and Rahul Mangharam, Md. Ariful Islam and Houssam Abbas, Md. Ariful Islam and Radu Grosu, Md. Ariful Islam and Ezio Bartocci, Md. Ariful Islam and George J. Pappas, Md. Ariful Islam and Sayan Mitra, Md. Ariful Islam and Elizabeth M. Cherry, Md. Ariful Islam and Rahul Mangharam, Md. Ariful Islam and Zhihao Jiang, Elizabeth M. Cherry and Ezio Bartocci, Elizabeth M. Cherry and Radu Grosu, Elizabeth M. Cherry and George J. Pappas, Elizabeth M. Cherry and Rahul Mangharam, Houssam Abbas and Ezio Bartocci, Houssam Abbas and George J. Pappas, Houssam Abbas and Radu Grosu, Houssam Abbas and Rahul Mangharam, Houssam Abbas and Zhihao Jiang, George J. Pappas and Ezio Bartocci, George J. Pappas and Radu Grosu, George J. Pappas and Sayan Mitra, George J. Pappas and Rahul Mangharam, George J. Pappas and Zhihao Jiang, Ezio Bartocci and Radu Grosu, Ezio Bartocci and Sayan Mitra, Ezio Bartocci and Rahul Mangharam, Ezio Bartocci and Zhihao Jiang, Sayan Mitra and Radu Grosu, Sayan Mitra and Rahul Mangharam, Sayan Mitra and Zhihao Jiang, Radu Grosu and Rahul Mangharam, Radu Grosu and Zhihao Jiang, Rahul Mangharam and Zhihao Jiang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Ovidiu Daescu\", \"id\": 27939}, {\"name\": \"Chuchu Fan\", \"id\": 212459}, {\"name\": \"Scott A. Smolka\", \"id\": 8940}, {\"name\": \"Flavio H. Fenton\", \"id\": 142127}, {\"name\": \"James Glimm\", \"id\": 142128}, {\"name\": \"Md. Ariful Islam\", \"id\": 161361}, {\"name\": \"Elizabeth M. Cherry\", \"id\": 161362}, {\"name\": \"Houssam Abbas\", \"id\": 50257}, {\"name\": \"George J. Pappas\", \"id\": 47572}, {\"name\": \"Ezio Bartocci\", \"id\": 14102}, {\"name\": \"Sayan Mitra\", \"id\": 89723}, {\"name\": \"Radu Grosu\", \"id\": 80828}, {\"name\": \"Rahul Mangharam\", \"id\": 281981}, {\"name\": \"Zhihao Jiang\", \"id\": 302652}], \"links\": [{\"source\": 27939, \"target\": 161361}, {\"source\": 212459, \"target\": 8940}, {\"source\": 212459, \"target\": 80828}, {\"source\": 212459, \"target\": 89723}, {\"source\": 212459, \"target\": 161361}, {\"source\": 212459, \"target\": 14102}, {\"source\": 212459, \"target\": 281981}, {\"source\": 212459, \"target\": 302652}, {\"source\": 8940, \"target\": 14102}, {\"source\": 8940, \"target\": 47572}, {\"source\": 8940, \"target\": 80828}, {\"source\": 8940, \"target\": 89723}, {\"source\": 8940, \"target\": 142127}, {\"source\": 8940, \"target\": 142128}, {\"source\": 8940, \"target\": 161361}, {\"source\": 8940, \"target\": 161362}, {\"source\": 8940, \"target\": 50257}, {\"source\": 8940, \"target\": 281981}, {\"source\": 8940, \"target\": 302652}, {\"source\": 142127, \"target\": 14102}, {\"source\": 142127, \"target\": 50257}, {\"source\": 142127, \"target\": 80828}, {\"source\": 142127, \"target\": 47572}, {\"source\": 142127, \"target\": 142128}, {\"source\": 142127, \"target\": 161361}, {\"source\": 142127, \"target\": 161362}, {\"source\": 142127, \"target\": 281981}, {\"source\": 142127, \"target\": 302652}, {\"source\": 142128, \"target\": 14102}, {\"source\": 142128, \"target\": 80828}, {\"source\": 142128, \"target\": 47572}, {\"source\": 142128, \"target\": 161361}, {\"source\": 142128, \"target\": 161362}, {\"source\": 142128, \"target\": 281981}, {\"source\": 161361, \"target\": 50257}, {\"source\": 161361, \"target\": 80828}, {\"source\": 161361, \"target\": 14102}, {\"source\": 161361, \"target\": 47572}, {\"source\": 161361, \"target\": 89723}, {\"source\": 161361, \"target\": 161362}, {\"source\": 161361, \"target\": 281981}, {\"source\": 161361, \"target\": 302652}, {\"source\": 161362, \"target\": 14102}, {\"source\": 161362, \"target\": 80828}, {\"source\": 161362, \"target\": 47572}, {\"source\": 161362, \"target\": 281981}, {\"source\": 50257, \"target\": 14102}, {\"source\": 50257, \"target\": 47572}, {\"source\": 50257, \"target\": 80828}, {\"source\": 50257, \"target\": 281981}, {\"source\": 50257, \"target\": 302652}, {\"source\": 47572, \"target\": 14102}, {\"source\": 47572, \"target\": 80828}, {\"source\": 47572, \"target\": 89723}, {\"source\": 47572, \"target\": 281981}, {\"source\": 47572, \"target\": 302652}, {\"source\": 14102, \"target\": 80828}, {\"source\": 14102, \"target\": 89723}, {\"source\": 14102, \"target\": 281981}, {\"source\": 14102, \"target\": 302652}, {\"source\": 89723, \"target\": 80828}, {\"source\": 89723, \"target\": 281981}, {\"source\": 89723, \"target\": 302652}, {\"source\": 80828, \"target\": 281981}, {\"source\": 80828, \"target\": 302652}, {\"source\": 281981, \"target\": 302652}]}",
"id": 1208,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Ovidiu Daescu, Chuchu Fan, Scott A. Smolka, Flavio H. Fenton, James Glimm, Md. Ariful Islam, Elizabeth M. Cherry, Houssam Abbas, George J. Pappas, Ezio Bartocci, Sayan Mitra, Radu Grosu, Rahul Mangharam, Zhihao Jiang\n- Research collaborations between these authors: Ovidiu Daescu and Md. Ariful Islam, Chuchu Fan and Scott A. Smolka, Chuchu Fan and Radu Grosu, Chuchu Fan and Sayan Mitra, Chuchu Fan and Md. Ariful Islam, Chuchu Fan and Ezio Bartocci, Chuchu Fan and Rahul Mangharam, Chuchu Fan and Zhihao Jiang, Scott A. Smolka and Ezio Bartocci, Scott A. Smolka and George J. Pappas, Scott A. Smolka and Radu Grosu, Scott A. Smolka and Sayan Mitra, Scott A. Smolka and Flavio H. Fenton, Scott A. Smolka and James Glimm, Scott A. Smolka and Md. Ariful Islam, Scott A. Smolka and Elizabeth M. Cherry, Scott A. Smolka and Houssam Abbas, Scott A. Smolka and Rahul Mangharam, Scott A. Smolka and Zhihao Jiang, Flavio H. Fenton and Ezio Bartocci, Flavio H. Fenton and Houssam Abbas, Flavio H. Fenton and Radu Grosu, Flavio H. Fenton and George J. Pappas, Flavio H. Fenton and James Glimm, Flavio H. Fenton and Md. Ariful Islam, Flavio H. Fenton and Elizabeth M. Cherry, Flavio H. Fenton and Rahul Mangharam, Flavio H. Fenton and Zhihao Jiang, James Glimm and Ezio Bartocci, James Glimm and Radu Grosu, James Glimm and George J. Pappas, James Glimm and Md. Ariful Islam, James Glimm and Elizabeth M. Cherry, James Glimm and Rahul Mangharam, Md. Ariful Islam and Houssam Abbas, Md. Ariful Islam and Radu Grosu, Md. Ariful Islam and Ezio Bartocci, Md. Ariful Islam and George J. Pappas, Md. Ariful Islam and Sayan Mitra, Md. Ariful Islam and Elizabeth M. Cherry, Md. Ariful Islam and Rahul Mangharam, Md. Ariful Islam and Zhihao Jiang, Elizabeth M. Cherry and Ezio Bartocci, Elizabeth M. Cherry and Radu Grosu, Elizabeth M. Cherry and George J. Pappas, Elizabeth M. Cherry and Rahul Mangharam, Houssam Abbas and Ezio Bartocci, Houssam Abbas and George J. Pappas, Houssam Abbas and Radu Grosu, Houssam Abbas and Rahul Mangharam, Houssam Abbas and Zhihao Jiang, George J. Pappas and Ezio Bartocci, George J. Pappas and Radu Grosu, George J. Pappas and Sayan Mitra, George J. Pappas and Rahul Mangharam, George J. Pappas and Zhihao Jiang, Ezio Bartocci and Radu Grosu, Ezio Bartocci and Sayan Mitra, Ezio Bartocci and Rahul Mangharam, Ezio Bartocci and Zhihao Jiang, Sayan Mitra and Radu Grosu, Sayan Mitra and Rahul Mangharam, Sayan Mitra and Zhihao Jiang, Radu Grosu and Rahul Mangharam, Radu Grosu and Zhihao Jiang, Rahul Mangharam and Zhihao Jiang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Tilak Das, Daniel Rueckert, Nicholas Ayache, Christopher J. Pal, Hugo Larochelle, Antonio Criminisi, Ben Glocker, Christos Davatzikos, Mohammad Havaei, Tal Arbel, Guido Gerig, Darko Zikic, Bjoern H. Menze, Pierre-Marc Jodoin\n- Research collaborations between these authors: Tilak Das and Nicholas Ayache, Tilak Das and Bjoern H. Menze, Tilak Das and Daniel Rueckert, Tilak Das and Hugo Larochelle, Tilak Das and Christos Davatzikos, Tilak Das and Christopher J. Pal, Tilak Das and Antonio Criminisi, Tilak Das and Tal Arbel, Tilak Das and Ben Glocker, Tilak Das and Darko Zikic, Tilak Das and Pierre-Marc Jodoin, Tilak Das and Guido Gerig, Tilak Das and Mohammad Havaei, Daniel Rueckert and Nicholas Ayache, Daniel Rueckert and Bjoern H. Menze, Daniel Rueckert and Guido Gerig, Daniel Rueckert and Christos Davatzikos, Daniel Rueckert and Antonio Criminisi, Daniel Rueckert and Tal Arbel, Daniel Rueckert and Ben Glocker, Daniel Rueckert and Darko Zikic, Nicholas Ayache and Bjoern H. Menze, Nicholas Ayache and Guido Gerig, Nicholas Ayache and Christos Davatzikos, Nicholas Ayache and Antonio Criminisi, Nicholas Ayache and Tal Arbel, Nicholas Ayache and Ben Glocker, Nicholas Ayache and Darko Zikic, Nicholas Ayache and Hugo Larochelle, Nicholas Ayache and Christopher J. Pal, Nicholas Ayache and Mohammad Havaei, Christopher J. Pal and Hugo Larochelle, Christopher J. Pal and Bjoern H. Menze, Christopher J. Pal and Antonio Criminisi, Christopher J. Pal and Tal Arbel, Christopher J. Pal and Ben Glocker, Christopher J. Pal and Darko Zikic, Hugo Larochelle and Bjoern H. Menze, Hugo Larochelle and Guido Gerig, Hugo Larochelle and Christos Davatzikos, Hugo Larochelle and Antonio Criminisi, Hugo Larochelle and Tal Arbel, Hugo Larochelle and Ben Glocker, Hugo Larochelle and Darko Zikic, Hugo Larochelle and Pierre-Marc Jodoin, Hugo Larochelle and Mohammad Havaei, Antonio Criminisi and Bjoern H. Menze, Antonio Criminisi and Christos Davatzikos, Antonio Criminisi and Guido Gerig, Antonio Criminisi and Tal Arbel, Antonio Criminisi and Ben Glocker, Antonio Criminisi and Darko Zikic, Antonio Criminisi and Pierre-Marc Jodoin, Antonio Criminisi and Mohammad Havaei, Ben Glocker and Bjoern H. Menze, Ben Glocker and Christos Davatzikos, Ben Glocker and Tal Arbel, Ben Glocker and Guido Gerig, Ben Glocker and Darko Zikic, Ben Glocker and Pierre-Marc Jodoin, Ben Glocker and Mohammad Havaei, Christos Davatzikos and Bjoern H. Menze, Christos Davatzikos and Guido Gerig, Christos Davatzikos and Tal Arbel, Christos Davatzikos and Darko Zikic, Christos Davatzikos and Mohammad Havaei, Mohammad Havaei and Pierre-Marc Jodoin, Mohammad Havaei and Bjoern H. Menze, Mohammad Havaei and Guido Gerig, Mohammad Havaei and Tal Arbel, Mohammad Havaei and Darko Zikic, Tal Arbel and Bjoern H. Menze, Tal Arbel and Guido Gerig, Tal Arbel and Darko Zikic, Tal Arbel and Pierre-Marc Jodoin, Guido Gerig and Bjoern H. Menze, Guido Gerig and Darko Zikic, Guido Gerig and Pierre-Marc Jodoin, Darko Zikic and Bjoern H. Menze, Darko Zikic and Pierre-Marc Jodoin.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 11,
"style": "rule"
}
|
{
"exact_answer": 11,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Tilak Das\", \"id\": 295522}, {\"name\": \"Daniel Rueckert\", \"id\": 7234}, {\"name\": \"Nicholas Ayache\", \"id\": 740}, {\"name\": \"Christopher J. Pal\", \"id\": 49381}, {\"name\": \"Hugo Larochelle\", \"id\": 35173}, {\"name\": \"Antonio Criminisi\", \"id\": 57134}, {\"name\": \"Ben Glocker\", \"id\": 73518}, {\"name\": \"Christos Davatzikos\", \"id\": 41681}, {\"name\": \"Mohammad Havaei\", \"id\": 451571}, {\"name\": \"Tal Arbel\", \"id\": 60563}, {\"name\": \"Guido Gerig\", \"id\": 6196}, {\"name\": \"Darko Zikic\", \"id\": 91479}, {\"name\": \"Bjoern H. Menze\", \"id\": 1881}, {\"name\": \"Pierre-Marc Jodoin\", \"id\": 283069}], \"links\": [{\"source\": 295522, \"target\": 740}, {\"source\": 295522, \"target\": 1881}, {\"source\": 295522, \"target\": 7234}, {\"source\": 295522, \"target\": 35173}, {\"source\": 295522, \"target\": 41681}, {\"source\": 295522, \"target\": 49381}, {\"source\": 295522, \"target\": 57134}, {\"source\": 295522, \"target\": 60563}, {\"source\": 295522, \"target\": 73518}, {\"source\": 295522, \"target\": 91479}, {\"source\": 295522, \"target\": 283069}, {\"source\": 295522, \"target\": 6196}, {\"source\": 295522, \"target\": 451571}, {\"source\": 7234, \"target\": 740}, {\"source\": 7234, \"target\": 1881}, {\"source\": 7234, \"target\": 6196}, {\"source\": 7234, \"target\": 41681}, {\"source\": 7234, \"target\": 57134}, {\"source\": 7234, \"target\": 60563}, {\"source\": 7234, \"target\": 73518}, {\"source\": 7234, \"target\": 91479}, {\"source\": 740, \"target\": 1881}, {\"source\": 740, \"target\": 6196}, {\"source\": 740, \"target\": 41681}, {\"source\": 740, \"target\": 57134}, {\"source\": 740, \"target\": 60563}, {\"source\": 740, \"target\": 73518}, {\"source\": 740, \"target\": 91479}, {\"source\": 740, \"target\": 35173}, {\"source\": 740, \"target\": 49381}, {\"source\": 740, \"target\": 451571}, {\"source\": 49381, \"target\": 35173}, {\"source\": 49381, \"target\": 1881}, {\"source\": 49381, \"target\": 57134}, {\"source\": 49381, \"target\": 60563}, {\"source\": 49381, \"target\": 73518}, {\"source\": 49381, \"target\": 91479}, {\"source\": 35173, \"target\": 1881}, {\"source\": 35173, \"target\": 6196}, {\"source\": 35173, \"target\": 41681}, {\"source\": 35173, \"target\": 57134}, {\"source\": 35173, \"target\": 60563}, {\"source\": 35173, \"target\": 73518}, {\"source\": 35173, \"target\": 91479}, {\"source\": 35173, \"target\": 283069}, {\"source\": 35173, \"target\": 451571}, {\"source\": 57134, \"target\": 1881}, {\"source\": 57134, \"target\": 41681}, {\"source\": 57134, \"target\": 6196}, {\"source\": 57134, \"target\": 60563}, {\"source\": 57134, \"target\": 73518}, {\"source\": 57134, \"target\": 91479}, {\"source\": 57134, \"target\": 283069}, {\"source\": 57134, \"target\": 451571}, {\"source\": 73518, \"target\": 1881}, {\"source\": 73518, \"target\": 41681}, {\"source\": 73518, \"target\": 60563}, {\"source\": 73518, \"target\": 6196}, {\"source\": 73518, \"target\": 91479}, {\"source\": 73518, \"target\": 283069}, {\"source\": 73518, \"target\": 451571}, {\"source\": 41681, \"target\": 1881}, {\"source\": 41681, \"target\": 6196}, {\"source\": 41681, \"target\": 60563}, {\"source\": 41681, \"target\": 91479}, {\"source\": 41681, \"target\": 451571}, {\"source\": 451571, \"target\": 283069}, {\"source\": 451571, \"target\": 1881}, {\"source\": 451571, \"target\": 6196}, {\"source\": 451571, \"target\": 60563}, {\"source\": 451571, \"target\": 91479}, {\"source\": 60563, \"target\": 1881}, {\"source\": 60563, \"target\": 6196}, {\"source\": 60563, \"target\": 91479}, {\"source\": 60563, \"target\": 283069}, {\"source\": 6196, \"target\": 1881}, {\"source\": 6196, \"target\": 91479}, {\"source\": 6196, \"target\": 283069}, {\"source\": 91479, \"target\": 1881}, {\"source\": 91479, \"target\": 283069}]}",
"id": 2503,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Tilak Das, Daniel Rueckert, Nicholas Ayache, Christopher J. Pal, Hugo Larochelle, Antonio Criminisi, Ben Glocker, Christos Davatzikos, Mohammad Havaei, Tal Arbel, Guido Gerig, Darko Zikic, Bjoern H. Menze, Pierre-Marc Jodoin\n- Research collaborations between these authors: Tilak Das and Nicholas Ayache, Tilak Das and Bjoern H. Menze, Tilak Das and Daniel Rueckert, Tilak Das and Hugo Larochelle, Tilak Das and Christos Davatzikos, Tilak Das and Christopher J. Pal, Tilak Das and Antonio Criminisi, Tilak Das and Tal Arbel, Tilak Das and Ben Glocker, Tilak Das and Darko Zikic, Tilak Das and Pierre-Marc Jodoin, Tilak Das and Guido Gerig, Tilak Das and Mohammad Havaei, Daniel Rueckert and Nicholas Ayache, Daniel Rueckert and Bjoern H. Menze, Daniel Rueckert and Guido Gerig, Daniel Rueckert and Christos Davatzikos, Daniel Rueckert and Antonio Criminisi, Daniel Rueckert and Tal Arbel, Daniel Rueckert and Ben Glocker, Daniel Rueckert and Darko Zikic, Nicholas Ayache and Bjoern H. Menze, Nicholas Ayache and Guido Gerig, Nicholas Ayache and Christos Davatzikos, Nicholas Ayache and Antonio Criminisi, Nicholas Ayache and Tal Arbel, Nicholas Ayache and Ben Glocker, Nicholas Ayache and Darko Zikic, Nicholas Ayache and Hugo Larochelle, Nicholas Ayache and Christopher J. Pal, Nicholas Ayache and Mohammad Havaei, Christopher J. Pal and Hugo Larochelle, Christopher J. Pal and Bjoern H. Menze, Christopher J. Pal and Antonio Criminisi, Christopher J. Pal and Tal Arbel, Christopher J. Pal and Ben Glocker, Christopher J. Pal and Darko Zikic, Hugo Larochelle and Bjoern H. Menze, Hugo Larochelle and Guido Gerig, Hugo Larochelle and Christos Davatzikos, Hugo Larochelle and Antonio Criminisi, Hugo Larochelle and Tal Arbel, Hugo Larochelle and Ben Glocker, Hugo Larochelle and Darko Zikic, Hugo Larochelle and Pierre-Marc Jodoin, Hugo Larochelle and Mohammad Havaei, Antonio Criminisi and Bjoern H. Menze, Antonio Criminisi and Christos Davatzikos, Antonio Criminisi and Guido Gerig, Antonio Criminisi and Tal Arbel, Antonio Criminisi and Ben Glocker, Antonio Criminisi and Darko Zikic, Antonio Criminisi and Pierre-Marc Jodoin, Antonio Criminisi and Mohammad Havaei, Ben Glocker and Bjoern H. Menze, Ben Glocker and Christos Davatzikos, Ben Glocker and Tal Arbel, Ben Glocker and Guido Gerig, Ben Glocker and Darko Zikic, Ben Glocker and Pierre-Marc Jodoin, Ben Glocker and Mohammad Havaei, Christos Davatzikos and Bjoern H. Menze, Christos Davatzikos and Guido Gerig, Christos Davatzikos and Tal Arbel, Christos Davatzikos and Darko Zikic, Christos Davatzikos and Mohammad Havaei, Mohammad Havaei and Pierre-Marc Jodoin, Mohammad Havaei and Bjoern H. Menze, Mohammad Havaei and Guido Gerig, Mohammad Havaei and Tal Arbel, Mohammad Havaei and Darko Zikic, Tal Arbel and Bjoern H. Menze, Tal Arbel and Guido Gerig, Tal Arbel and Darko Zikic, Tal Arbel and Pierre-Marc Jodoin, Guido Gerig and Bjoern H. Menze, Guido Gerig and Darko Zikic, Guido Gerig and Pierre-Marc Jodoin, Darko Zikic and Bjoern H. Menze, Darko Zikic and Pierre-Marc Jodoin.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hao Li, Changxi Zheng, Marie-Paule Cani, Kelly Ward, Tae-Yong Kim, Ming C. Lin, Kun Zhou, Ronald Fedkiw, Sunil Hadap, Andrew Selle, Nadia Magnenat-Thalmann, John Keyser, Pascal Volino, Zoran Kačić-Alesić\n- Research collaborations between these authors: Hao Li and Tae-Yong Kim, Hao Li and Ming C. Lin, Hao Li and Ronald Fedkiw, Hao Li and John Keyser, Hao Li and Marie-Paule Cani, Hao Li and Kun Zhou, Hao Li and Kelly Ward, Changxi Zheng and Ming C. Lin, Changxi Zheng and Tae-Yong Kim, Changxi Zheng and Ronald Fedkiw, Changxi Zheng and Marie-Paule Cani, Changxi Zheng and Kun Zhou, Changxi Zheng and Kelly Ward, Changxi Zheng and Andrew Selle, Marie-Paule Cani and Tae-Yong Kim, Marie-Paule Cani and Nadia Magnenat-Thalmann, Marie-Paule Cani and Ming C. Lin, Marie-Paule Cani and Ronald Fedkiw, Marie-Paule Cani and John Keyser, Marie-Paule Cani and Kun Zhou, Marie-Paule Cani and Kelly Ward, Marie-Paule Cani and Pascal Volino, Marie-Paule Cani and Sunil Hadap, Marie-Paule Cani and Zoran Kačić-Alesić, Marie-Paule Cani and Andrew Selle, Kelly Ward and Tae-Yong Kim, Kelly Ward and Nadia Magnenat-Thalmann, Kelly Ward and Ming C. Lin, Kelly Ward and Ronald Fedkiw, Kelly Ward and John Keyser, Kelly Ward and Pascal Volino, Kelly Ward and Sunil Hadap, Kelly Ward and Kun Zhou, Kelly Ward and Zoran Kačić-Alesić, Kelly Ward and Andrew Selle, Tae-Yong Kim and Nadia Magnenat-Thalmann, Tae-Yong Kim and Ming C. Lin, Tae-Yong Kim and Ronald Fedkiw, Tae-Yong Kim and Pascal Volino, Tae-Yong Kim and Andrew Selle, Tae-Yong Kim and John Keyser, Tae-Yong Kim and Sunil Hadap, Tae-Yong Kim and Kun Zhou, Tae-Yong Kim and Zoran Kačić-Alesić, Ming C. Lin and Nadia Magnenat-Thalmann, Ming C. Lin and Ronald Fedkiw, Ming C. Lin and John Keyser, Ming C. Lin and Pascal Volino, Ming C. Lin and Kun Zhou, Ming C. Lin and Andrew Selle, Ming C. Lin and Sunil Hadap, Ming C. Lin and Zoran Kačić-Alesić, Kun Zhou and Sunil Hadap, Kun Zhou and Ronald Fedkiw, Kun Zhou and John Keyser, Kun Zhou and Andrew Selle, Ronald Fedkiw and Nadia Magnenat-Thalmann, Ronald Fedkiw and John Keyser, Ronald Fedkiw and Pascal Volino, Ronald Fedkiw and Sunil Hadap, Ronald Fedkiw and Andrew Selle, Ronald Fedkiw and Zoran Kačić-Alesić, Sunil Hadap and Nadia Magnenat-Thalmann, Sunil Hadap and Andrew Selle, Andrew Selle and Nadia Magnenat-Thalmann, Andrew Selle and Pascal Volino, Nadia Magnenat-Thalmann and Pascal Volino.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hao Li\", \"id\": 46881}, {\"name\": \"Changxi Zheng\", \"id\": 277379}, {\"name\": \"Marie-Paule Cani\", \"id\": 151364}, {\"name\": \"Kelly Ward\", \"id\": 512357}, {\"name\": \"Tae-Yong Kim\", \"id\": 26761}, {\"name\": \"Ming C. Lin\", \"id\": 44235}, {\"name\": \"Kun Zhou\", \"id\": 363632}, {\"name\": \"Ronald Fedkiw\", \"id\": 108306}, {\"name\": \"Sunil Hadap\", \"id\": 290932}, {\"name\": \"Andrew Selle\", \"id\": 613271}, {\"name\": \"Nadia Magnenat-Thalmann\", \"id\": 40026}, {\"name\": \"John Keyser\", \"id\": 146203}, {\"name\": \"Pascal Volino\", \"id\": 219837}, {\"name\": \"Zoran Ka\\u010di\\u0107-Alesi\\u0107\", \"id\": 605855}], \"links\": [{\"source\": 46881, \"target\": 26761}, {\"source\": 46881, \"target\": 44235}, {\"source\": 46881, \"target\": 108306}, {\"source\": 46881, \"target\": 146203}, {\"source\": 46881, \"target\": 151364}, {\"source\": 46881, \"target\": 363632}, {\"source\": 46881, \"target\": 512357}, {\"source\": 277379, \"target\": 44235}, {\"source\": 277379, \"target\": 26761}, {\"source\": 277379, \"target\": 108306}, {\"source\": 277379, \"target\": 151364}, {\"source\": 277379, \"target\": 363632}, {\"source\": 277379, \"target\": 512357}, {\"source\": 277379, \"target\": 613271}, {\"source\": 151364, \"target\": 26761}, {\"source\": 151364, \"target\": 40026}, {\"source\": 151364, \"target\": 44235}, {\"source\": 151364, \"target\": 108306}, {\"source\": 151364, \"target\": 146203}, {\"source\": 151364, \"target\": 363632}, {\"source\": 151364, \"target\": 512357}, {\"source\": 151364, \"target\": 219837}, {\"source\": 151364, \"target\": 290932}, {\"source\": 151364, \"target\": 605855}, {\"source\": 151364, \"target\": 613271}, {\"source\": 512357, \"target\": 26761}, {\"source\": 512357, \"target\": 40026}, {\"source\": 512357, \"target\": 44235}, {\"source\": 512357, \"target\": 108306}, {\"source\": 512357, \"target\": 146203}, {\"source\": 512357, \"target\": 219837}, {\"source\": 512357, \"target\": 290932}, {\"source\": 512357, \"target\": 363632}, {\"source\": 512357, \"target\": 605855}, {\"source\": 512357, \"target\": 613271}, {\"source\": 26761, \"target\": 40026}, {\"source\": 26761, \"target\": 44235}, {\"source\": 26761, \"target\": 108306}, {\"source\": 26761, \"target\": 219837}, {\"source\": 26761, \"target\": 613271}, {\"source\": 26761, \"target\": 146203}, {\"source\": 26761, \"target\": 290932}, {\"source\": 26761, \"target\": 363632}, {\"source\": 26761, \"target\": 605855}, {\"source\": 44235, \"target\": 40026}, {\"source\": 44235, \"target\": 108306}, {\"source\": 44235, \"target\": 146203}, {\"source\": 44235, \"target\": 219837}, {\"source\": 44235, \"target\": 363632}, {\"source\": 44235, \"target\": 613271}, {\"source\": 44235, \"target\": 290932}, {\"source\": 44235, \"target\": 605855}, {\"source\": 363632, \"target\": 290932}, {\"source\": 363632, \"target\": 108306}, {\"source\": 363632, \"target\": 146203}, {\"source\": 363632, \"target\": 613271}, {\"source\": 108306, \"target\": 40026}, {\"source\": 108306, \"target\": 146203}, {\"source\": 108306, \"target\": 219837}, {\"source\": 108306, \"target\": 290932}, {\"source\": 108306, \"target\": 613271}, {\"source\": 108306, \"target\": 605855}, {\"source\": 290932, \"target\": 40026}, {\"source\": 290932, \"target\": 613271}, {\"source\": 613271, \"target\": 40026}, {\"source\": 613271, \"target\": 219837}, {\"source\": 40026, \"target\": 219837}]}",
"id": 1781,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hao Li, Changxi Zheng, Marie-Paule Cani, Kelly Ward, Tae-Yong Kim, Ming C. Lin, Kun Zhou, Ronald Fedkiw, Sunil Hadap, Andrew Selle, Nadia Magnenat-Thalmann, John Keyser, Pascal Volino, Zoran Kačić-Alesić\n- Research collaborations between these authors: Hao Li and Tae-Yong Kim, Hao Li and Ming C. Lin, Hao Li and Ronald Fedkiw, Hao Li and John Keyser, Hao Li and Marie-Paule Cani, Hao Li and Kun Zhou, Hao Li and Kelly Ward, Changxi Zheng and Ming C. Lin, Changxi Zheng and Tae-Yong Kim, Changxi Zheng and Ronald Fedkiw, Changxi Zheng and Marie-Paule Cani, Changxi Zheng and Kun Zhou, Changxi Zheng and Kelly Ward, Changxi Zheng and Andrew Selle, Marie-Paule Cani and Tae-Yong Kim, Marie-Paule Cani and Nadia Magnenat-Thalmann, Marie-Paule Cani and Ming C. Lin, Marie-Paule Cani and Ronald Fedkiw, Marie-Paule Cani and John Keyser, Marie-Paule Cani and Kun Zhou, Marie-Paule Cani and Kelly Ward, Marie-Paule Cani and Pascal Volino, Marie-Paule Cani and Sunil Hadap, Marie-Paule Cani and Zoran Kačić-Alesić, Marie-Paule Cani and Andrew Selle, Kelly Ward and Tae-Yong Kim, Kelly Ward and Nadia Magnenat-Thalmann, Kelly Ward and Ming C. Lin, Kelly Ward and Ronald Fedkiw, Kelly Ward and John Keyser, Kelly Ward and Pascal Volino, Kelly Ward and Sunil Hadap, Kelly Ward and Kun Zhou, Kelly Ward and Zoran Kačić-Alesić, Kelly Ward and Andrew Selle, Tae-Yong Kim and Nadia Magnenat-Thalmann, Tae-Yong Kim and Ming C. Lin, Tae-Yong Kim and Ronald Fedkiw, Tae-Yong Kim and Pascal Volino, Tae-Yong Kim and Andrew Selle, Tae-Yong Kim and John Keyser, Tae-Yong Kim and Sunil Hadap, Tae-Yong Kim and Kun Zhou, Tae-Yong Kim and Zoran Kačić-Alesić, Ming C. Lin and Nadia Magnenat-Thalmann, Ming C. Lin and Ronald Fedkiw, Ming C. Lin and John Keyser, Ming C. Lin and Pascal Volino, Ming C. Lin and Kun Zhou, Ming C. Lin and Andrew Selle, Ming C. Lin and Sunil Hadap, Ming C. Lin and Zoran Kačić-Alesić, Kun Zhou and Sunil Hadap, Kun Zhou and Ronald Fedkiw, Kun Zhou and John Keyser, Kun Zhou and Andrew Selle, Ronald Fedkiw and Nadia Magnenat-Thalmann, Ronald Fedkiw and John Keyser, Ronald Fedkiw and Pascal Volino, Ronald Fedkiw and Sunil Hadap, Ronald Fedkiw and Andrew Selle, Ronald Fedkiw and Zoran Kačić-Alesić, Sunil Hadap and Nadia Magnenat-Thalmann, Sunil Hadap and Andrew Selle, Andrew Selle and Nadia Magnenat-Thalmann, Andrew Selle and Pascal Volino, Nadia Magnenat-Thalmann and Pascal Volino.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hiroe Tsubaki, George L. Nemhauser, Hideki Katagiri, Marta Mesquita, Andreas Fink, Natalia Kliewer, Ana Paias, Ellis L. Johnson, Lars Mönch, J.P. Xu, Pitu B. Mirchandani, Yindong Shen, Hiroshi Tsuda, Takashi Hasuike\n- Research collaborations between these authors: Hiroe Tsubaki and Takashi Hasuike, Hiroe Tsubaki and Hiroshi Tsuda, Hiroe Tsubaki and Hideki Katagiri, Hiroe Tsubaki and Natalia Kliewer, Hiroe Tsubaki and George L. Nemhauser, George L. Nemhauser and Takashi Hasuike, George L. Nemhauser and Natalia Kliewer, George L. Nemhauser and Pitu B. Mirchandani, George L. Nemhauser and Hiroshi Tsuda, George L. Nemhauser and Hideki Katagiri, George L. Nemhauser and Ellis L. Johnson, Hideki Katagiri and Takashi Hasuike, Hideki Katagiri and Hiroshi Tsuda, Hideki Katagiri and Natalia Kliewer, Marta Mesquita and Natalia Kliewer, Marta Mesquita and Ana Paias, Andreas Fink and Lars Mönch, Andreas Fink and Natalia Kliewer, Natalia Kliewer and Takashi Hasuike, Natalia Kliewer and Lars Mönch, Natalia Kliewer and Ana Paias, Natalia Kliewer and Ellis L. Johnson, Natalia Kliewer and Pitu B. Mirchandani, Natalia Kliewer and Hiroshi Tsuda, Natalia Kliewer and Yindong Shen, Natalia Kliewer and J.P. Xu, Ellis L. Johnson and Pitu B. Mirchandani, Hiroshi Tsuda and Takashi Hasuike.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hiroe Tsubaki\", \"id\": 134722}, {\"name\": \"George L. Nemhauser\", \"id\": 96551}, {\"name\": \"Hideki Katagiri\", \"id\": 77291}, {\"name\": \"Marta Mesquita\", \"id\": 50446}, {\"name\": \"Andreas Fink\", \"id\": 39471}, {\"name\": \"Natalia Kliewer\", \"id\": 39472}, {\"name\": \"Ana Paias\", \"id\": 50448}, {\"name\": \"Ellis L. Johnson\", \"id\": 291857}, {\"name\": \"Lars M\\u00f6nch\", \"id\": 39474}, {\"name\": \"J.P. Xu\", \"id\": 640494}, {\"name\": \"Pitu B. Mirchandani\", \"id\": 50837}, {\"name\": \"Yindong Shen\", \"id\": 525558}, {\"name\": \"Hiroshi Tsuda\", \"id\": 54237}, {\"name\": \"Takashi Hasuike\", \"id\": 8926}], \"links\": [{\"source\": 134722, \"target\": 8926}, {\"source\": 134722, \"target\": 54237}, {\"source\": 134722, \"target\": 77291}, {\"source\": 134722, \"target\": 39472}, {\"source\": 134722, \"target\": 96551}, {\"source\": 96551, \"target\": 8926}, {\"source\": 96551, \"target\": 39472}, {\"source\": 96551, \"target\": 50837}, {\"source\": 96551, \"target\": 54237}, {\"source\": 96551, \"target\": 77291}, {\"source\": 96551, \"target\": 291857}, {\"source\": 77291, \"target\": 8926}, {\"source\": 77291, \"target\": 54237}, {\"source\": 77291, \"target\": 39472}, {\"source\": 50446, \"target\": 39472}, {\"source\": 50446, \"target\": 50448}, {\"source\": 39471, \"target\": 39474}, {\"source\": 39471, \"target\": 39472}, {\"source\": 39472, \"target\": 8926}, {\"source\": 39472, \"target\": 39474}, {\"source\": 39472, \"target\": 50448}, {\"source\": 39472, \"target\": 291857}, {\"source\": 39472, \"target\": 50837}, {\"source\": 39472, \"target\": 54237}, {\"source\": 39472, \"target\": 525558}, {\"source\": 39472, \"target\": 640494}, {\"source\": 291857, \"target\": 50837}, {\"source\": 54237, \"target\": 8926}]}",
"id": 2347,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hiroe Tsubaki, George L. Nemhauser, Hideki Katagiri, Marta Mesquita, Andreas Fink, Natalia Kliewer, Ana Paias, Ellis L. Johnson, Lars Mönch, J.P. Xu, Pitu B. Mirchandani, Yindong Shen, Hiroshi Tsuda, Takashi Hasuike\n- Research collaborations between these authors: Hiroe Tsubaki and Takashi Hasuike, Hiroe Tsubaki and Hiroshi Tsuda, Hiroe Tsubaki and Hideki Katagiri, Hiroe Tsubaki and Natalia Kliewer, Hiroe Tsubaki and George L. Nemhauser, George L. Nemhauser and Takashi Hasuike, George L. Nemhauser and Natalia Kliewer, George L. Nemhauser and Pitu B. Mirchandani, George L. Nemhauser and Hiroshi Tsuda, George L. Nemhauser and Hideki Katagiri, George L. Nemhauser and Ellis L. Johnson, Hideki Katagiri and Takashi Hasuike, Hideki Katagiri and Hiroshi Tsuda, Hideki Katagiri and Natalia Kliewer, Marta Mesquita and Natalia Kliewer, Marta Mesquita and Ana Paias, Andreas Fink and Lars Mönch, Andreas Fink and Natalia Kliewer, Natalia Kliewer and Takashi Hasuike, Natalia Kliewer and Lars Mönch, Natalia Kliewer and Ana Paias, Natalia Kliewer and Ellis L. Johnson, Natalia Kliewer and Pitu B. Mirchandani, Natalia Kliewer and Hiroshi Tsuda, Natalia Kliewer and Yindong Shen, Natalia Kliewer and J.P. Xu, Ellis L. Johnson and Pitu B. Mirchandani, Hiroshi Tsuda and Takashi Hasuike.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Shurug Al-Khalifa, Vanja Josifovski, Wei Wang, Xiaoying Wu, Sourav S. Bhowmick, H. V. Jagadish, Xiaojie Yuan, Andrey Balmin, Jianzhong Li, Fatma Özcan, Susan B. Davidson, Zhifeng Bao, Zografoula Vagena, Ioana Manolescu\n- Research collaborations between these authors: Shurug Al-Khalifa and Ioana Manolescu, Shurug Al-Khalifa and Wei Wang, Shurug Al-Khalifa and H. V. Jagadish, Shurug Al-Khalifa and Jianzhong Li, Shurug Al-Khalifa and Sourav S. Bhowmick, Shurug Al-Khalifa and Zhifeng Bao, Shurug Al-Khalifa and Susan B. Davidson, Shurug Al-Khalifa and Fatma Özcan, Shurug Al-Khalifa and Vanja Josifovski, Shurug Al-Khalifa and Xiaoying Wu, Shurug Al-Khalifa and Zografoula Vagena, Shurug Al-Khalifa and Xiaojie Yuan, Shurug Al-Khalifa and Andrey Balmin, Vanja Josifovski and Wei Wang, Vanja Josifovski and Fatma Özcan, Vanja Josifovski and H. V. Jagadish, Vanja Josifovski and Xiaoying Wu, Vanja Josifovski and Xiaojie Yuan, Vanja Josifovski and Andrey Balmin, Wei Wang and Ioana Manolescu, Wei Wang and H. V. Jagadish, Wei Wang and Jianzhong Li, Wei Wang and Zhifeng Bao, Wei Wang and Susan B. Davidson, Wei Wang and Zografoula Vagena, Wei Wang and Andrey Balmin, Wei Wang and Sourav S. Bhowmick, Wei Wang and Xiaoying Wu, Wei Wang and Xiaojie Yuan, Xiaoying Wu and Ioana Manolescu, Xiaoying Wu and H. V. Jagadish, Xiaoying Wu and Zhifeng Bao, Xiaoying Wu and Susan B. Davidson, Xiaoying Wu and Zografoula Vagena, Xiaoying Wu and Andrey Balmin, Sourav S. Bhowmick and Ioana Manolescu, Sourav S. Bhowmick and H. V. Jagadish, Sourav S. Bhowmick and Jianzhong Li, Sourav S. Bhowmick and Fatma Özcan, H. V. Jagadish and Ioana Manolescu, H. V. Jagadish and Zhifeng Bao, H. V. Jagadish and Susan B. Davidson, H. V. Jagadish and Zografoula Vagena, H. V. Jagadish and Andrey Balmin, H. V. Jagadish and Jianzhong Li, H. V. Jagadish and Fatma Özcan, H. V. Jagadish and Xiaojie Yuan, Xiaojie Yuan and Susan B. Davidson, Andrey Balmin and Ioana Manolescu, Andrey Balmin and Zhifeng Bao, Andrey Balmin and Fatma Özcan, Andrey Balmin and Zografoula Vagena, Jianzhong Li and Ioana Manolescu, Jianzhong Li and Zografoula Vagena, Fatma Özcan and Ioana Manolescu, Susan B. Davidson and Ioana Manolescu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Shurug Al-Khalifa\", \"id\": 264768}, {\"name\": \"Vanja Josifovski\", \"id\": 55649}, {\"name\": \"Wei Wang\", \"id\": 4578}, {\"name\": \"Xiaoying Wu\", \"id\": 86691}, {\"name\": \"Sourav S. Bhowmick\", \"id\": 18277}, {\"name\": \"H. V. Jagadish\", \"id\": 4586}, {\"name\": \"Xiaojie Yuan\", \"id\": 142383}, {\"name\": \"Andrey Balmin\", \"id\": 168371}, {\"name\": \"Jianzhong Li\", \"id\": 8564}, {\"name\": \"Fatma \\u00d6zcan\", \"id\": 52339}, {\"name\": \"Susan B. Davidson\", \"id\": 41142}, {\"name\": \"Zhifeng Bao\", \"id\": 25366}, {\"name\": \"Zografoula Vagena\", \"id\": 119898}, {\"name\": \"Ioana Manolescu\", \"id\": 2459}], \"links\": [{\"source\": 264768, \"target\": 2459}, {\"source\": 264768, \"target\": 4578}, {\"source\": 264768, \"target\": 4586}, {\"source\": 264768, \"target\": 8564}, {\"source\": 264768, \"target\": 18277}, {\"source\": 264768, \"target\": 25366}, {\"source\": 264768, \"target\": 41142}, {\"source\": 264768, \"target\": 52339}, {\"source\": 264768, \"target\": 55649}, {\"source\": 264768, \"target\": 86691}, {\"source\": 264768, \"target\": 119898}, {\"source\": 264768, \"target\": 142383}, {\"source\": 264768, \"target\": 168371}, {\"source\": 55649, \"target\": 4578}, {\"source\": 55649, \"target\": 52339}, {\"source\": 55649, \"target\": 4586}, {\"source\": 55649, \"target\": 86691}, {\"source\": 55649, \"target\": 142383}, {\"source\": 55649, \"target\": 168371}, {\"source\": 4578, \"target\": 2459}, {\"source\": 4578, \"target\": 4586}, {\"source\": 4578, \"target\": 8564}, {\"source\": 4578, \"target\": 25366}, {\"source\": 4578, \"target\": 41142}, {\"source\": 4578, \"target\": 119898}, {\"source\": 4578, \"target\": 168371}, {\"source\": 4578, \"target\": 18277}, {\"source\": 4578, \"target\": 86691}, {\"source\": 4578, \"target\": 142383}, {\"source\": 86691, \"target\": 2459}, {\"source\": 86691, \"target\": 4586}, {\"source\": 86691, \"target\": 25366}, {\"source\": 86691, \"target\": 41142}, {\"source\": 86691, \"target\": 119898}, {\"source\": 86691, \"target\": 168371}, {\"source\": 18277, \"target\": 2459}, {\"source\": 18277, \"target\": 4586}, {\"source\": 18277, \"target\": 8564}, {\"source\": 18277, \"target\": 52339}, {\"source\": 4586, \"target\": 2459}, {\"source\": 4586, \"target\": 25366}, {\"source\": 4586, \"target\": 41142}, {\"source\": 4586, \"target\": 119898}, {\"source\": 4586, \"target\": 168371}, {\"source\": 4586, \"target\": 8564}, {\"source\": 4586, \"target\": 52339}, {\"source\": 4586, \"target\": 142383}, {\"source\": 142383, \"target\": 41142}, {\"source\": 168371, \"target\": 2459}, {\"source\": 168371, \"target\": 25366}, {\"source\": 168371, \"target\": 52339}, {\"source\": 168371, \"target\": 119898}, {\"source\": 8564, \"target\": 2459}, {\"source\": 8564, \"target\": 119898}, {\"source\": 52339, \"target\": 2459}, {\"source\": 41142, \"target\": 2459}]}",
"id": 1790,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Shurug Al-Khalifa, Vanja Josifovski, Wei Wang, Xiaoying Wu, Sourav S. Bhowmick, H. V. Jagadish, Xiaojie Yuan, Andrey Balmin, Jianzhong Li, Fatma Özcan, Susan B. Davidson, Zhifeng Bao, Zografoula Vagena, Ioana Manolescu\n- Research collaborations between these authors: Shurug Al-Khalifa and Ioana Manolescu, Shurug Al-Khalifa and Wei Wang, Shurug Al-Khalifa and H. V. Jagadish, Shurug Al-Khalifa and Jianzhong Li, Shurug Al-Khalifa and Sourav S. Bhowmick, Shurug Al-Khalifa and Zhifeng Bao, Shurug Al-Khalifa and Susan B. Davidson, Shurug Al-Khalifa and Fatma Özcan, Shurug Al-Khalifa and Vanja Josifovski, Shurug Al-Khalifa and Xiaoying Wu, Shurug Al-Khalifa and Zografoula Vagena, Shurug Al-Khalifa and Xiaojie Yuan, Shurug Al-Khalifa and Andrey Balmin, Vanja Josifovski and Wei Wang, Vanja Josifovski and Fatma Özcan, Vanja Josifovski and H. V. Jagadish, Vanja Josifovski and Xiaoying Wu, Vanja Josifovski and Xiaojie Yuan, Vanja Josifovski and Andrey Balmin, Wei Wang and Ioana Manolescu, Wei Wang and H. V. Jagadish, Wei Wang and Jianzhong Li, Wei Wang and Zhifeng Bao, Wei Wang and Susan B. Davidson, Wei Wang and Zografoula Vagena, Wei Wang and Andrey Balmin, Wei Wang and Sourav S. Bhowmick, Wei Wang and Xiaoying Wu, Wei Wang and Xiaojie Yuan, Xiaoying Wu and Ioana Manolescu, Xiaoying Wu and H. V. Jagadish, Xiaoying Wu and Zhifeng Bao, Xiaoying Wu and Susan B. Davidson, Xiaoying Wu and Zografoula Vagena, Xiaoying Wu and Andrey Balmin, Sourav S. Bhowmick and Ioana Manolescu, Sourav S. Bhowmick and H. V. Jagadish, Sourav S. Bhowmick and Jianzhong Li, Sourav S. Bhowmick and Fatma Özcan, H. V. Jagadish and Ioana Manolescu, H. V. Jagadish and Zhifeng Bao, H. V. Jagadish and Susan B. Davidson, H. V. Jagadish and Zografoula Vagena, H. V. Jagadish and Andrey Balmin, H. V. Jagadish and Jianzhong Li, H. V. Jagadish and Fatma Özcan, H. V. Jagadish and Xiaojie Yuan, Xiaojie Yuan and Susan B. Davidson, Andrey Balmin and Ioana Manolescu, Andrey Balmin and Zhifeng Bao, Andrey Balmin and Fatma Özcan, Andrey Balmin and Zografoula Vagena, Jianzhong Li and Ioana Manolescu, Jianzhong Li and Zografoula Vagena, Fatma Özcan and Ioana Manolescu, Susan B. Davidson and Ioana Manolescu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sergio Cabello, Ryuhei Uehara, Jirí Matousek, Sandip Das, Stefan Langerman, Gershon Elber, Aritra Banik, Jyh-Ming Lien, Erik D. Demaine, Sayan Bandyapadhyay, David Little, Anil Maheshwari, Nancy M. Amato, Sariel Har-Peled\n- Research collaborations between these authors: Sergio Cabello and Sandip Das, Sergio Cabello and Aritra Banik, Sergio Cabello and Sariel Har-Peled, Ryuhei Uehara and Erik D. Demaine, Ryuhei Uehara and Sandip Das, Ryuhei Uehara and Aritra Banik, Jirí Matousek and Sandip Das, Jirí Matousek and Aritra Banik, Jirí Matousek and Sariel Har-Peled, Sandip Das and Stefan Langerman, Sandip Das and Aritra Banik, Sandip Das and Erik D. Demaine, Sandip Das and Anil Maheshwari, Sandip Das and Sariel Har-Peled, Sandip Das and Sayan Bandyapadhyay, Stefan Langerman and Erik D. Demaine, Stefan Langerman and Aritra Banik, Stefan Langerman and Anil Maheshwari, Gershon Elber and Jyh-Ming Lien, Aritra Banik and Erik D. Demaine, Aritra Banik and Anil Maheshwari, Aritra Banik and Sariel Har-Peled, Aritra Banik and Sayan Bandyapadhyay, Jyh-Ming Lien and Nancy M. Amato, Jyh-Ming Lien and Sariel Har-Peled, Jyh-Ming Lien and Sayan Bandyapadhyay, Erik D. Demaine and Anil Maheshwari, Sayan Bandyapadhyay and Nancy M. Amato, Sayan Bandyapadhyay and Sariel Har-Peled, David Little and Nancy M. Amato, Anil Maheshwari and Sariel Har-Peled.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Sergio Cabello\", \"id\": 223810}, {\"name\": \"Jir\\u00ed Matousek\", \"id\": 363784}, {\"name\": \"Sariel Har-Peled\", \"id\": 160446}, {\"name\": \"Sandip Das\", \"id\": 28973}, {\"name\": \"Stefan Langerman\", \"id\": 49262}, {\"name\": \"Gershon Elber\", \"id\": 80589}, {\"name\": \"Aritra Banik\", \"id\": 51250}, {\"name\": \"Jyh-Ming Lien\", \"id\": 100690}, {\"name\": \"Erik D. Demaine\", \"id\": 67698}, {\"name\": \"Sayan Bandyapadhyay\", \"id\": 363477}, {\"name\": \"David Little\", \"id\": 397144}, {\"name\": \"Anil Maheshwari\", \"id\": 86809}, {\"name\": \"Nancy M. Amato\", \"id\": 37946}, {\"name\": \"Ryuhei Uehara\", \"id\": 19902}], \"links\": [{\"source\": 223810, \"target\": 28973}, {\"source\": 223810, \"target\": 51250}, {\"source\": 223810, \"target\": 160446}, {\"source\": 363784, \"target\": 28973}, {\"source\": 363784, \"target\": 51250}, {\"source\": 363784, \"target\": 160446}, {\"source\": 160446, \"target\": 28973}, {\"source\": 160446, \"target\": 51250}, {\"source\": 160446, \"target\": 86809}, {\"source\": 160446, \"target\": 100690}, {\"source\": 160446, \"target\": 363477}, {\"source\": 28973, \"target\": 19902}, {\"source\": 28973, \"target\": 49262}, {\"source\": 28973, \"target\": 51250}, {\"source\": 28973, \"target\": 67698}, {\"source\": 28973, \"target\": 86809}, {\"source\": 28973, \"target\": 363477}, {\"source\": 49262, \"target\": 67698}, {\"source\": 49262, \"target\": 51250}, {\"source\": 49262, \"target\": 86809}, {\"source\": 80589, \"target\": 100690}, {\"source\": 51250, \"target\": 19902}, {\"source\": 51250, \"target\": 67698}, {\"source\": 51250, \"target\": 86809}, {\"source\": 51250, \"target\": 363477}, {\"source\": 100690, \"target\": 37946}, {\"source\": 100690, \"target\": 363477}, {\"source\": 67698, \"target\": 19902}, {\"source\": 67698, \"target\": 86809}, {\"source\": 363477, \"target\": 37946}, {\"source\": 397144, \"target\": 37946}]}",
"id": 1730,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sergio Cabello, Ryuhei Uehara, Jirí Matousek, Sandip Das, Stefan Langerman, Gershon Elber, Aritra Banik, Jyh-Ming Lien, Erik D. Demaine, Sayan Bandyapadhyay, David Little, Anil Maheshwari, Nancy M. Amato, Sariel Har-Peled\n- Research collaborations between these authors: Sergio Cabello and Sandip Das, Sergio Cabello and Aritra Banik, Sergio Cabello and Sariel Har-Peled, Ryuhei Uehara and Erik D. Demaine, Ryuhei Uehara and Sandip Das, Ryuhei Uehara and Aritra Banik, Jirí Matousek and Sandip Das, Jirí Matousek and Aritra Banik, Jirí Matousek and Sariel Har-Peled, Sandip Das and Stefan Langerman, Sandip Das and Aritra Banik, Sandip Das and Erik D. Demaine, Sandip Das and Anil Maheshwari, Sandip Das and Sariel Har-Peled, Sandip Das and Sayan Bandyapadhyay, Stefan Langerman and Erik D. Demaine, Stefan Langerman and Aritra Banik, Stefan Langerman and Anil Maheshwari, Gershon Elber and Jyh-Ming Lien, Aritra Banik and Erik D. Demaine, Aritra Banik and Anil Maheshwari, Aritra Banik and Sariel Har-Peled, Aritra Banik and Sayan Bandyapadhyay, Jyh-Ming Lien and Nancy M. Amato, Jyh-Ming Lien and Sariel Har-Peled, Jyh-Ming Lien and Sayan Bandyapadhyay, Erik D. Demaine and Anil Maheshwari, Sayan Bandyapadhyay and Nancy M. Amato, Sayan Bandyapadhyay and Sariel Har-Peled, David Little and Nancy M. Amato, Anil Maheshwari and Sariel Har-Peled.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Katie Byl, Manas Menon, Roger D. Quinn, Srinath Avadhanula, Metin Sitti, Sangbae Kim, Robert J. Wood, Dario Floreano, Daniela Rus, Pierre-Emile Duhamel, Néstor O. Pérez-Arancibia, Ronald S. Fearing, Michelle H. Rosen, Joshua R. Smith\n- Research collaborations between these authors: Katie Byl and Robert J. Wood, Manas Menon and Robert J. Wood, Manas Menon and Ronald S. Fearing, Manas Menon and Srinath Avadhanula, Roger D. Quinn and Metin Sitti, Roger D. Quinn and Sangbae Kim, Roger D. Quinn and Robert J. Wood, Roger D. Quinn and Ronald S. Fearing, Roger D. Quinn and Dario Floreano, Srinath Avadhanula and Robert J. Wood, Srinath Avadhanula and Ronald S. Fearing, Srinath Avadhanula and Metin Sitti, Srinath Avadhanula and Néstor O. Pérez-Arancibia, Metin Sitti and Daniela Rus, Metin Sitti and Robert J. Wood, Metin Sitti and Ronald S. Fearing, Metin Sitti and Dario Floreano, Metin Sitti and Sangbae Kim, Sangbae Kim and Robert J. Wood, Sangbae Kim and Ronald S. Fearing, Sangbae Kim and Daniela Rus, Robert J. Wood and Daniela Rus, Robert J. Wood and Ronald S. Fearing, Robert J. Wood and Dario Floreano, Robert J. Wood and Néstor O. Pérez-Arancibia, Robert J. Wood and Joshua R. Smith, Robert J. Wood and Pierre-Emile Duhamel, Robert J. Wood and Michelle H. Rosen, Dario Floreano and Ronald S. Fearing, Dario Floreano and Daniela Rus, Daniela Rus and Ronald S. Fearing, Pierre-Emile Duhamel and Ronald S. Fearing, Néstor O. Pérez-Arancibia and Ronald S. Fearing.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Katie Byl\", \"id\": 260770}, {\"name\": \"Michelle H. Rosen\", \"id\": 1254076}, {\"name\": \"Roger D. Quinn\", \"id\": 4681}, {\"name\": \"Srinath Avadhanula\", \"id\": 276522}, {\"name\": \"Metin Sitti\", \"id\": 36042}, {\"name\": \"Sangbae Kim\", \"id\": 261965}, {\"name\": \"Robert J. Wood\", \"id\": 143150}, {\"name\": \"Dario Floreano\", \"id\": 251342}, {\"name\": \"Daniela Rus\", \"id\": 18837}, {\"name\": \"Pierre-Emile Duhamel\", \"id\": 890649}, {\"name\": \"N\\u00e9stor O. P\\u00e9rez-Arancibia\", \"id\": 628090}, {\"name\": \"Ronald S. Fearing\", \"id\": 201595}, {\"name\": \"Manas Menon\", \"id\": 996124}, {\"name\": \"Joshua R. Smith\", \"id\": 228543}], \"links\": [{\"source\": 260770, \"target\": 143150}, {\"source\": 1254076, \"target\": 143150}, {\"source\": 4681, \"target\": 36042}, {\"source\": 4681, \"target\": 261965}, {\"source\": 4681, \"target\": 143150}, {\"source\": 4681, \"target\": 201595}, {\"source\": 4681, \"target\": 251342}, {\"source\": 276522, \"target\": 143150}, {\"source\": 276522, \"target\": 201595}, {\"source\": 276522, \"target\": 36042}, {\"source\": 276522, \"target\": 996124}, {\"source\": 276522, \"target\": 628090}, {\"source\": 36042, \"target\": 18837}, {\"source\": 36042, \"target\": 143150}, {\"source\": 36042, \"target\": 201595}, {\"source\": 36042, \"target\": 251342}, {\"source\": 36042, \"target\": 261965}, {\"source\": 261965, \"target\": 143150}, {\"source\": 261965, \"target\": 201595}, {\"source\": 261965, \"target\": 18837}, {\"source\": 143150, \"target\": 18837}, {\"source\": 143150, \"target\": 201595}, {\"source\": 143150, \"target\": 251342}, {\"source\": 143150, \"target\": 628090}, {\"source\": 143150, \"target\": 996124}, {\"source\": 143150, \"target\": 228543}, {\"source\": 143150, \"target\": 890649}, {\"source\": 251342, \"target\": 201595}, {\"source\": 251342, \"target\": 18837}, {\"source\": 18837, \"target\": 201595}, {\"source\": 890649, \"target\": 201595}, {\"source\": 628090, \"target\": 201595}, {\"source\": 201595, \"target\": 996124}]}",
"id": 901,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Katie Byl, Manas Menon, Roger D. Quinn, Srinath Avadhanula, Metin Sitti, Sangbae Kim, Robert J. Wood, Dario Floreano, Daniela Rus, Pierre-Emile Duhamel, Néstor O. Pérez-Arancibia, Ronald S. Fearing, Michelle H. Rosen, Joshua R. Smith\n- Research collaborations between these authors: Katie Byl and Robert J. Wood, Manas Menon and Robert J. Wood, Manas Menon and Ronald S. Fearing, Manas Menon and Srinath Avadhanula, Roger D. Quinn and Metin Sitti, Roger D. Quinn and Sangbae Kim, Roger D. Quinn and Robert J. Wood, Roger D. Quinn and Ronald S. Fearing, Roger D. Quinn and Dario Floreano, Srinath Avadhanula and Robert J. Wood, Srinath Avadhanula and Ronald S. Fearing, Srinath Avadhanula and Metin Sitti, Srinath Avadhanula and Néstor O. Pérez-Arancibia, Metin Sitti and Daniela Rus, Metin Sitti and Robert J. Wood, Metin Sitti and Ronald S. Fearing, Metin Sitti and Dario Floreano, Metin Sitti and Sangbae Kim, Sangbae Kim and Robert J. Wood, Sangbae Kim and Ronald S. Fearing, Sangbae Kim and Daniela Rus, Robert J. Wood and Daniela Rus, Robert J. Wood and Ronald S. Fearing, Robert J. Wood and Dario Floreano, Robert J. Wood and Néstor O. Pérez-Arancibia, Robert J. Wood and Joshua R. Smith, Robert J. Wood and Pierre-Emile Duhamel, Robert J. Wood and Michelle H. Rosen, Dario Floreano and Ronald S. Fearing, Dario Floreano and Daniela Rus, Daniela Rus and Ronald S. Fearing, Pierre-Emile Duhamel and Ronald S. Fearing, Néstor O. Pérez-Arancibia and Ronald S. Fearing.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Christopher D. Barnet, Mitchell D. Goldberg, Joel Susskind, L. Larrabee Strow, Philip W. Rosenkranz, Moustafa T. Chahine, Eugenia Kalnay, Larry M. McMillin, Eric Maddy, Catherine Gautier, Hartmut H. Aumann, William J. Blackwell, Henry E. Revercomb, David H. Staelin\n- Research collaborations between these authors: Christopher D. Barnet and William J. Blackwell, Christopher D. Barnet and Mitchell D. Goldberg, Christopher D. Barnet and David H. Staelin, Christopher D. Barnet and Joel Susskind, Christopher D. Barnet and Hartmut H. Aumann, Christopher D. Barnet and L. Larrabee Strow, Christopher D. Barnet and Henry E. Revercomb, Christopher D. Barnet and Eric Maddy, Christopher D. Barnet and Philip W. Rosenkranz, Christopher D. Barnet and Larry M. McMillin, Christopher D. Barnet and Catherine Gautier, Christopher D. Barnet and Moustafa T. Chahine, Christopher D. Barnet and Eugenia Kalnay, Mitchell D. Goldberg and William J. Blackwell, Mitchell D. Goldberg and David H. Staelin, Mitchell D. Goldberg and Joel Susskind, Mitchell D. Goldberg and Hartmut H. Aumann, Mitchell D. Goldberg and L. Larrabee Strow, Mitchell D. Goldberg and Henry E. Revercomb, Mitchell D. Goldberg and Philip W. Rosenkranz, Mitchell D. Goldberg and Larry M. McMillin, Mitchell D. Goldberg and Catherine Gautier, Mitchell D. Goldberg and Moustafa T. Chahine, Mitchell D. Goldberg and Eugenia Kalnay, Mitchell D. Goldberg and Eric Maddy, Joel Susskind and William J. Blackwell, Joel Susskind and Hartmut H. Aumann, Joel Susskind and L. Larrabee Strow, Joel Susskind and Eric Maddy, Joel Susskind and Larry M. McMillin, L. Larrabee Strow and William J. Blackwell, L. Larrabee Strow and David H. Staelin, L. Larrabee Strow and Hartmut H. Aumann, L. Larrabee Strow and Henry E. Revercomb, L. Larrabee Strow and Larry M. McMillin, L. Larrabee Strow and Eric Maddy, L. Larrabee Strow and Philip W. Rosenkranz, L. Larrabee Strow and Catherine Gautier, Philip W. Rosenkranz and William J. Blackwell, Philip W. Rosenkranz and David H. Staelin, Philip W. Rosenkranz and Eric Maddy, Philip W. Rosenkranz and Hartmut H. Aumann, Moustafa T. Chahine and William J. Blackwell, Moustafa T. Chahine and Eric Maddy, Moustafa T. Chahine and Hartmut H. Aumann, Eugenia Kalnay and William J. Blackwell, Eugenia Kalnay and Eric Maddy, Eugenia Kalnay and Hartmut H. Aumann, Larry M. McMillin and William J. Blackwell, Larry M. McMillin and Hartmut H. Aumann, Larry M. McMillin and Eric Maddy, Larry M. McMillin and Catherine Gautier, Eric Maddy and David H. Staelin, Eric Maddy and Hartmut H. Aumann, Eric Maddy and Henry E. Revercomb, Eric Maddy and Catherine Gautier, Catherine Gautier and William J. Blackwell, Catherine Gautier and Hartmut H. Aumann, Hartmut H. Aumann and William J. Blackwell, Hartmut H. Aumann and David H. Staelin, Hartmut H. Aumann and Henry E. Revercomb, William J. Blackwell and David H. Staelin, William J. Blackwell and Henry E. Revercomb.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Christopher D. Barnet\", \"id\": 702112}, {\"name\": \"Mitchell D. Goldberg\", \"id\": 192225}, {\"name\": \"Joel Susskind\", \"id\": 603328}, {\"name\": \"L. Larrabee Strow\", \"id\": 702115}, {\"name\": \"Philip W. Rosenkranz\", \"id\": 979206}, {\"name\": \"Moustafa T. Chahine\", \"id\": 1115723}, {\"name\": \"Eugenia Kalnay\", \"id\": 1115724}, {\"name\": \"Larry M. McMillin\", \"id\": 1037039}, {\"name\": \"Eric Maddy\", \"id\": 783472}, {\"name\": \"Catherine Gautier\", \"id\": 1062993}, {\"name\": \"Hartmut H. Aumann\", \"id\": 701203}, {\"name\": \"William J. Blackwell\", \"id\": 90139}, {\"name\": \"Henry E. Revercomb\", \"id\": 761790}, {\"name\": \"David H. Staelin\", \"id\": 464927}], \"links\": [{\"source\": 702112, \"target\": 90139}, {\"source\": 702112, \"target\": 192225}, {\"source\": 702112, \"target\": 464927}, {\"source\": 702112, \"target\": 603328}, {\"source\": 702112, \"target\": 701203}, {\"source\": 702112, \"target\": 702115}, {\"source\": 702112, \"target\": 761790}, {\"source\": 702112, \"target\": 783472}, {\"source\": 702112, \"target\": 979206}, {\"source\": 702112, \"target\": 1037039}, {\"source\": 702112, \"target\": 1062993}, {\"source\": 702112, \"target\": 1115723}, {\"source\": 702112, \"target\": 1115724}, {\"source\": 192225, \"target\": 90139}, {\"source\": 192225, \"target\": 464927}, {\"source\": 192225, \"target\": 603328}, {\"source\": 192225, \"target\": 701203}, {\"source\": 192225, \"target\": 702115}, {\"source\": 192225, \"target\": 761790}, {\"source\": 192225, \"target\": 979206}, {\"source\": 192225, \"target\": 1037039}, {\"source\": 192225, \"target\": 1062993}, {\"source\": 192225, \"target\": 1115723}, {\"source\": 192225, \"target\": 1115724}, {\"source\": 192225, \"target\": 783472}, {\"source\": 603328, \"target\": 90139}, {\"source\": 603328, \"target\": 701203}, {\"source\": 603328, \"target\": 702115}, {\"source\": 603328, \"target\": 783472}, {\"source\": 603328, \"target\": 1037039}, {\"source\": 702115, \"target\": 90139}, {\"source\": 702115, \"target\": 464927}, {\"source\": 702115, \"target\": 701203}, {\"source\": 702115, \"target\": 761790}, {\"source\": 702115, \"target\": 1037039}, {\"source\": 702115, \"target\": 783472}, {\"source\": 702115, \"target\": 979206}, {\"source\": 702115, \"target\": 1062993}, {\"source\": 979206, \"target\": 90139}, {\"source\": 979206, \"target\": 464927}, {\"source\": 979206, \"target\": 783472}, {\"source\": 979206, \"target\": 701203}, {\"source\": 1115723, \"target\": 90139}, {\"source\": 1115723, \"target\": 783472}, {\"source\": 1115723, \"target\": 701203}, {\"source\": 1115724, \"target\": 90139}, {\"source\": 1115724, \"target\": 783472}, {\"source\": 1115724, \"target\": 701203}, {\"source\": 1037039, \"target\": 90139}, {\"source\": 1037039, \"target\": 701203}, {\"source\": 1037039, \"target\": 783472}, {\"source\": 1037039, \"target\": 1062993}, {\"source\": 783472, \"target\": 464927}, {\"source\": 783472, \"target\": 701203}, {\"source\": 783472, \"target\": 761790}, {\"source\": 783472, \"target\": 1062993}, {\"source\": 1062993, \"target\": 90139}, {\"source\": 1062993, \"target\": 701203}, {\"source\": 701203, \"target\": 90139}, {\"source\": 701203, \"target\": 464927}, {\"source\": 701203, \"target\": 761790}, {\"source\": 90139, \"target\": 464927}, {\"source\": 90139, \"target\": 761790}]}",
"id": 204,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Christopher D. Barnet, Mitchell D. Goldberg, Joel Susskind, L. Larrabee Strow, Philip W. Rosenkranz, Moustafa T. Chahine, Eugenia Kalnay, Larry M. McMillin, Eric Maddy, Catherine Gautier, Hartmut H. Aumann, William J. Blackwell, Henry E. Revercomb, David H. Staelin\n- Research collaborations between these authors: Christopher D. Barnet and William J. Blackwell, Christopher D. Barnet and Mitchell D. Goldberg, Christopher D. Barnet and David H. Staelin, Christopher D. Barnet and Joel Susskind, Christopher D. Barnet and Hartmut H. Aumann, Christopher D. Barnet and L. Larrabee Strow, Christopher D. Barnet and Henry E. Revercomb, Christopher D. Barnet and Eric Maddy, Christopher D. Barnet and Philip W. Rosenkranz, Christopher D. Barnet and Larry M. McMillin, Christopher D. Barnet and Catherine Gautier, Christopher D. Barnet and Moustafa T. Chahine, Christopher D. Barnet and Eugenia Kalnay, Mitchell D. Goldberg and William J. Blackwell, Mitchell D. Goldberg and David H. Staelin, Mitchell D. Goldberg and Joel Susskind, Mitchell D. Goldberg and Hartmut H. Aumann, Mitchell D. Goldberg and L. Larrabee Strow, Mitchell D. Goldberg and Henry E. Revercomb, Mitchell D. Goldberg and Philip W. Rosenkranz, Mitchell D. Goldberg and Larry M. McMillin, Mitchell D. Goldberg and Catherine Gautier, Mitchell D. Goldberg and Moustafa T. Chahine, Mitchell D. Goldberg and Eugenia Kalnay, Mitchell D. Goldberg and Eric Maddy, Joel Susskind and William J. Blackwell, Joel Susskind and Hartmut H. Aumann, Joel Susskind and L. Larrabee Strow, Joel Susskind and Eric Maddy, Joel Susskind and Larry M. McMillin, L. Larrabee Strow and William J. Blackwell, L. Larrabee Strow and David H. Staelin, L. Larrabee Strow and Hartmut H. Aumann, L. Larrabee Strow and Henry E. Revercomb, L. Larrabee Strow and Larry M. McMillin, L. Larrabee Strow and Eric Maddy, L. Larrabee Strow and Philip W. Rosenkranz, L. Larrabee Strow and Catherine Gautier, Philip W. Rosenkranz and William J. Blackwell, Philip W. Rosenkranz and David H. Staelin, Philip W. Rosenkranz and Eric Maddy, Philip W. Rosenkranz and Hartmut H. Aumann, Moustafa T. Chahine and William J. Blackwell, Moustafa T. Chahine and Eric Maddy, Moustafa T. Chahine and Hartmut H. Aumann, Eugenia Kalnay and William J. Blackwell, Eugenia Kalnay and Eric Maddy, Eugenia Kalnay and Hartmut H. Aumann, Larry M. McMillin and William J. Blackwell, Larry M. McMillin and Hartmut H. Aumann, Larry M. McMillin and Eric Maddy, Larry M. McMillin and Catherine Gautier, Eric Maddy and David H. Staelin, Eric Maddy and Hartmut H. Aumann, Eric Maddy and Henry E. Revercomb, Eric Maddy and Catherine Gautier, Catherine Gautier and William J. Blackwell, Catherine Gautier and Hartmut H. Aumann, Hartmut H. Aumann and William J. Blackwell, Hartmut H. Aumann and David H. Staelin, Hartmut H. Aumann and Henry E. Revercomb, William J. Blackwell and David H. Staelin, William J. Blackwell and Henry E. Revercomb.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sebastian Götschel, Michael Hintermüller, Karl Kunisch, Peter Bastian, Alfio Borzì, Hong Li, Horst Bischof, Stefan Volkwein, Eduardo Casas, Fredi Tröltzsch, Danny C. Sorensen, Joachim Weickert, Michael Ulbrich, Tuomo Valkonen\n- Research collaborations between these authors: Sebastian Götschel and Karl Kunisch, Michael Hintermüller and Fredi Tröltzsch, Michael Hintermüller and Michael Ulbrich, Michael Hintermüller and Karl Kunisch, Karl Kunisch and Horst Bischof, Karl Kunisch and Joachim Weickert, Karl Kunisch and Hong Li, Karl Kunisch and Eduardo Casas, Karl Kunisch and Fredi Tröltzsch, Karl Kunisch and Stefan Volkwein, Karl Kunisch and Alfio Borzì, Karl Kunisch and Michael Ulbrich, Karl Kunisch and Peter Bastian, Karl Kunisch and Tuomo Valkonen, Karl Kunisch and Danny C. Sorensen, Alfio Borzì and Stefan Volkwein, Hong Li and Stefan Volkwein, Horst Bischof and Joachim Weickert, Stefan Volkwein and Fredi Tröltzsch, Stefan Volkwein and Danny C. Sorensen, Eduardo Casas and Fredi Tröltzsch, Fredi Tröltzsch and Michael Ulbrich.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Sebastian G\\u00f6tschel\", \"id\": 1079652}, {\"name\": \"Michael Hinterm\\u00fcller\", \"id\": 200453}, {\"name\": \"Karl Kunisch\", \"id\": 240041}, {\"name\": \"Peter Bastian\", \"id\": 187723}, {\"name\": \"Alfio Borz\\u00ec\", \"id\": 207468}, {\"name\": \"Hong Li\", \"id\": 24684}, {\"name\": \"Horst Bischof\", \"id\": 7950}, {\"name\": \"Stefan Volkwein\", \"id\": 128044}, {\"name\": \"Eduardo Casas\", \"id\": 75025}, {\"name\": \"Fredi Tr\\u00f6ltzsch\", \"id\": 115409}, {\"name\": \"Danny C. Sorensen\", \"id\": 374451}, {\"name\": \"Joachim Weickert\", \"id\": 13461}, {\"name\": \"Michael Ulbrich\", \"id\": 207766}, {\"name\": \"Tuomo Valkonen\", \"id\": 366298}], \"links\": [{\"source\": 1079652, \"target\": 240041}, {\"source\": 200453, \"target\": 115409}, {\"source\": 200453, \"target\": 207766}, {\"source\": 200453, \"target\": 240041}, {\"source\": 240041, \"target\": 7950}, {\"source\": 240041, \"target\": 13461}, {\"source\": 240041, \"target\": 24684}, {\"source\": 240041, \"target\": 75025}, {\"source\": 240041, \"target\": 115409}, {\"source\": 240041, \"target\": 128044}, {\"source\": 240041, \"target\": 207468}, {\"source\": 240041, \"target\": 207766}, {\"source\": 240041, \"target\": 187723}, {\"source\": 240041, \"target\": 366298}, {\"source\": 240041, \"target\": 374451}, {\"source\": 207468, \"target\": 128044}, {\"source\": 24684, \"target\": 128044}, {\"source\": 7950, \"target\": 13461}, {\"source\": 128044, \"target\": 115409}, {\"source\": 128044, \"target\": 374451}, {\"source\": 75025, \"target\": 115409}, {\"source\": 115409, \"target\": 207766}]}",
"id": 1077,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sebastian Götschel, Michael Hintermüller, Karl Kunisch, Peter Bastian, Alfio Borzì, Hong Li, Horst Bischof, Stefan Volkwein, Eduardo Casas, Fredi Tröltzsch, Danny C. Sorensen, Joachim Weickert, Michael Ulbrich, Tuomo Valkonen\n- Research collaborations between these authors: Sebastian Götschel and Karl Kunisch, Michael Hintermüller and Fredi Tröltzsch, Michael Hintermüller and Michael Ulbrich, Michael Hintermüller and Karl Kunisch, Karl Kunisch and Horst Bischof, Karl Kunisch and Joachim Weickert, Karl Kunisch and Hong Li, Karl Kunisch and Eduardo Casas, Karl Kunisch and Fredi Tröltzsch, Karl Kunisch and Stefan Volkwein, Karl Kunisch and Alfio Borzì, Karl Kunisch and Michael Ulbrich, Karl Kunisch and Peter Bastian, Karl Kunisch and Tuomo Valkonen, Karl Kunisch and Danny C. Sorensen, Alfio Borzì and Stefan Volkwein, Hong Li and Stefan Volkwein, Horst Bischof and Joachim Weickert, Stefan Volkwein and Fredi Tröltzsch, Stefan Volkwein and Danny C. Sorensen, Eduardo Casas and Fredi Tröltzsch, Fredi Tröltzsch and Michael Ulbrich.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Muhammad Shoaib B. Sehgal, Srikantan S. Nagarajan, Akihiko Yamaguchi, Jun Takamatsu, Noriko Yamagishi, Yukiyasu Kamitani, Christopher G. Atkeson, Yohei Otaka, Shin Ishii, Masa-aki Sato, Sang-Ho Hyon, Takamitsu Matsubara, Mitsuo Kawato, Fumio Kanehiro\n- Research collaborations between these authors: Muhammad Shoaib B. Sehgal and Shin Ishii, Muhammad Shoaib B. Sehgal and Masa-aki Sato, Srikantan S. Nagarajan and Masa-aki Sato, Akihiko Yamaguchi and Jun Takamatsu, Akihiko Yamaguchi and Christopher G. Atkeson, Akihiko Yamaguchi and Shin Ishii, Akihiko Yamaguchi and Takamitsu Matsubara, Akihiko Yamaguchi and Fumio Kanehiro, Akihiko Yamaguchi and Mitsuo Kawato, Akihiko Yamaguchi and Masa-aki Sato, Akihiko Yamaguchi and Sang-Ho Hyon, Jun Takamatsu and Shin Ishii, Jun Takamatsu and Fumio Kanehiro, Jun Takamatsu and Mitsuo Kawato, Jun Takamatsu and Masa-aki Sato, Noriko Yamagishi and Mitsuo Kawato, Noriko Yamagishi and Masa-aki Sato, Yukiyasu Kamitani and Mitsuo Kawato, Yukiyasu Kamitani and Masa-aki Sato, Christopher G. Atkeson and Takamitsu Matsubara, Christopher G. Atkeson and Fumio Kanehiro, Christopher G. Atkeson and Sang-Ho Hyon, Christopher G. Atkeson and Mitsuo Kawato, Christopher G. Atkeson and Masa-aki Sato, Yohei Otaka and Mitsuo Kawato, Yohei Otaka and Masa-aki Sato, Yohei Otaka and Sang-Ho Hyon, Shin Ishii and Mitsuo Kawato, Shin Ishii and Masa-aki Sato, Shin Ishii and Takamitsu Matsubara, Masa-aki Sato and Takamitsu Matsubara, Masa-aki Sato and Mitsuo Kawato, Masa-aki Sato and Sang-Ho Hyon, Sang-Ho Hyon and Takamitsu Matsubara, Sang-Ho Hyon and Mitsuo Kawato, Sang-Ho Hyon and Fumio Kanehiro, Takamitsu Matsubara and Fumio Kanehiro, Takamitsu Matsubara and Mitsuo Kawato.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Muhammad Shoaib B. Sehgal\", \"id\": 222852}, {\"name\": \"Srikantan S. Nagarajan\", \"id\": 240936}, {\"name\": \"Akihiko Yamaguchi\", \"id\": 441225}, {\"name\": \"Jun Takamatsu\", \"id\": 104779}, {\"name\": \"Noriko Yamagishi\", \"id\": 518925}, {\"name\": \"Yukiyasu Kamitani\", \"id\": 258701}, {\"name\": \"Christopher G. Atkeson\", \"id\": 222993}, {\"name\": \"Yohei Otaka\", \"id\": 1007764}, {\"name\": \"Masa-aki Sato\", \"id\": 273206}, {\"name\": \"Sang-Ho Hyon\", \"id\": 496502}, {\"name\": \"Shin Ishii\", \"id\": 26520}, {\"name\": \"Mitsuo Kawato\", \"id\": 250841}, {\"name\": \"Fumio Kanehiro\", \"id\": 197019}, {\"name\": \"Takamitsu Matsubara\", \"id\": 52376}], \"links\": [{\"source\": 222852, \"target\": 26520}, {\"source\": 222852, \"target\": 273206}, {\"source\": 240936, \"target\": 273206}, {\"source\": 441225, \"target\": 104779}, {\"source\": 441225, \"target\": 222993}, {\"source\": 441225, \"target\": 26520}, {\"source\": 441225, \"target\": 52376}, {\"source\": 441225, \"target\": 197019}, {\"source\": 441225, \"target\": 250841}, {\"source\": 441225, \"target\": 273206}, {\"source\": 441225, \"target\": 496502}, {\"source\": 104779, \"target\": 26520}, {\"source\": 104779, \"target\": 197019}, {\"source\": 104779, \"target\": 250841}, {\"source\": 104779, \"target\": 273206}, {\"source\": 518925, \"target\": 250841}, {\"source\": 518925, \"target\": 273206}, {\"source\": 258701, \"target\": 250841}, {\"source\": 258701, \"target\": 273206}, {\"source\": 222993, \"target\": 52376}, {\"source\": 222993, \"target\": 197019}, {\"source\": 222993, \"target\": 496502}, {\"source\": 222993, \"target\": 250841}, {\"source\": 222993, \"target\": 273206}, {\"source\": 1007764, \"target\": 250841}, {\"source\": 1007764, \"target\": 273206}, {\"source\": 1007764, \"target\": 496502}, {\"source\": 273206, \"target\": 26520}, {\"source\": 273206, \"target\": 52376}, {\"source\": 273206, \"target\": 250841}, {\"source\": 273206, \"target\": 496502}, {\"source\": 496502, \"target\": 52376}, {\"source\": 496502, \"target\": 250841}, {\"source\": 496502, \"target\": 197019}, {\"source\": 26520, \"target\": 250841}, {\"source\": 26520, \"target\": 52376}, {\"source\": 250841, \"target\": 52376}, {\"source\": 197019, \"target\": 52376}]}",
"id": 1864,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Muhammad Shoaib B. Sehgal, Srikantan S. Nagarajan, Akihiko Yamaguchi, Jun Takamatsu, Noriko Yamagishi, Yukiyasu Kamitani, Christopher G. Atkeson, Yohei Otaka, Shin Ishii, Masa-aki Sato, Sang-Ho Hyon, Takamitsu Matsubara, Mitsuo Kawato, Fumio Kanehiro\n- Research collaborations between these authors: Muhammad Shoaib B. Sehgal and Shin Ishii, Muhammad Shoaib B. Sehgal and Masa-aki Sato, Srikantan S. Nagarajan and Masa-aki Sato, Akihiko Yamaguchi and Jun Takamatsu, Akihiko Yamaguchi and Christopher G. Atkeson, Akihiko Yamaguchi and Shin Ishii, Akihiko Yamaguchi and Takamitsu Matsubara, Akihiko Yamaguchi and Fumio Kanehiro, Akihiko Yamaguchi and Mitsuo Kawato, Akihiko Yamaguchi and Masa-aki Sato, Akihiko Yamaguchi and Sang-Ho Hyon, Jun Takamatsu and Shin Ishii, Jun Takamatsu and Fumio Kanehiro, Jun Takamatsu and Mitsuo Kawato, Jun Takamatsu and Masa-aki Sato, Noriko Yamagishi and Mitsuo Kawato, Noriko Yamagishi and Masa-aki Sato, Yukiyasu Kamitani and Mitsuo Kawato, Yukiyasu Kamitani and Masa-aki Sato, Christopher G. Atkeson and Takamitsu Matsubara, Christopher G. Atkeson and Fumio Kanehiro, Christopher G. Atkeson and Sang-Ho Hyon, Christopher G. Atkeson and Mitsuo Kawato, Christopher G. Atkeson and Masa-aki Sato, Yohei Otaka and Mitsuo Kawato, Yohei Otaka and Masa-aki Sato, Yohei Otaka and Sang-Ho Hyon, Shin Ishii and Mitsuo Kawato, Shin Ishii and Masa-aki Sato, Shin Ishii and Takamitsu Matsubara, Masa-aki Sato and Takamitsu Matsubara, Masa-aki Sato and Mitsuo Kawato, Masa-aki Sato and Sang-Ho Hyon, Sang-Ho Hyon and Takamitsu Matsubara, Sang-Ho Hyon and Mitsuo Kawato, Sang-Ho Hyon and Fumio Kanehiro, Takamitsu Matsubara and Fumio Kanehiro, Takamitsu Matsubara and Mitsuo Kawato.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Magnus Egerstedt, Jean-Louis Deneubourg, M. Ani Hsieh, Alcherio Martinoli, Marco Dorigo, Karthik Elamvazhuthi, Spring Berman, Manuele Brambilla, Dario Floreano, William Agassounon, Maja J. Matarić, Kjerstin Easton, Daniela Rus, Vijay Kumar\n- Research collaborations between these authors: Magnus Egerstedt and Vijay Kumar, Magnus Egerstedt and Daniela Rus, Magnus Egerstedt and Alcherio Martinoli, Magnus Egerstedt and Maja J. Matarić, Magnus Egerstedt and Karthik Elamvazhuthi, Magnus Egerstedt and Spring Berman, Jean-Louis Deneubourg and Marco Dorigo, Jean-Louis Deneubourg and Alcherio Martinoli, Jean-Louis Deneubourg and Maja J. Matarić, Jean-Louis Deneubourg and Dario Floreano, Jean-Louis Deneubourg and Spring Berman, M. Ani Hsieh and Vijay Kumar, M. Ani Hsieh and Maja J. Matarić, M. Ani Hsieh and Daniela Rus, M. Ani Hsieh and Alcherio Martinoli, M. Ani Hsieh and Spring Berman, M. Ani Hsieh and Kjerstin Easton, M. Ani Hsieh and William Agassounon, Alcherio Martinoli and Vijay Kumar, Alcherio Martinoli and Maja J. Matarić, Alcherio Martinoli and Daniela Rus, Alcherio Martinoli and Marco Dorigo, Alcherio Martinoli and Dario Floreano, Alcherio Martinoli and Spring Berman, Alcherio Martinoli and Kjerstin Easton, Alcherio Martinoli and William Agassounon, Alcherio Martinoli and Manuele Brambilla, Marco Dorigo and Vijay Kumar, Marco Dorigo and Maja J. Matarić, Marco Dorigo and Daniela Rus, Marco Dorigo and Manuele Brambilla, Marco Dorigo and Dario Floreano, Marco Dorigo and Spring Berman, Marco Dorigo and Kjerstin Easton, Marco Dorigo and William Agassounon, Karthik Elamvazhuthi and Vijay Kumar, Karthik Elamvazhuthi and Spring Berman, Spring Berman and Vijay Kumar, Spring Berman and Daniela Rus, Spring Berman and Manuele Brambilla, Spring Berman and Maja J. Matarić, Spring Berman and Kjerstin Easton, Spring Berman and William Agassounon, Manuele Brambilla and Vijay Kumar, Manuele Brambilla and Dario Floreano, Dario Floreano and Vijay Kumar, Dario Floreano and Maja J. Matarić, Dario Floreano and Daniela Rus, William Agassounon and Vijay Kumar, Maja J. Matarić and Vijay Kumar, Maja J. Matarić and Daniela Rus, Kjerstin Easton and Vijay Kumar, Daniela Rus and Vijay Kumar.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Magnus Egerstedt\", \"id\": 205956}, {\"name\": \"Jean-Louis Deneubourg\", \"id\": 184741}, {\"name\": \"M. Ani Hsieh\", \"id\": 196710}, {\"name\": \"Alcherio Martinoli\", \"id\": 37700}, {\"name\": \"Karthik Elamvazhuthi\", \"id\": 284459}, {\"name\": \"Spring Berman\", \"id\": 284460}, {\"name\": \"Manuele Brambilla\", \"id\": 191595}, {\"name\": \"Dario Floreano\", \"id\": 251342}, {\"name\": \"William Agassounon\", \"id\": 609904}, {\"name\": \"Maja J. Matari\\u0107\", \"id\": 18672}, {\"name\": \"Kjerstin Easton\", \"id\": 309875}, {\"name\": \"Daniela Rus\", \"id\": 18837}, {\"name\": \"Vijay Kumar\", \"id\": 17368}, {\"name\": \"Marco Dorigo\", \"id\": 30264}], \"links\": [{\"source\": 205956, \"target\": 17368}, {\"source\": 205956, \"target\": 18837}, {\"source\": 205956, \"target\": 37700}, {\"source\": 205956, \"target\": 18672}, {\"source\": 205956, \"target\": 284459}, {\"source\": 205956, \"target\": 284460}, {\"source\": 184741, \"target\": 30264}, {\"source\": 184741, \"target\": 37700}, {\"source\": 184741, \"target\": 18672}, {\"source\": 184741, \"target\": 251342}, {\"source\": 184741, \"target\": 284460}, {\"source\": 196710, \"target\": 17368}, {\"source\": 196710, \"target\": 18672}, {\"source\": 196710, \"target\": 18837}, {\"source\": 196710, \"target\": 37700}, {\"source\": 196710, \"target\": 284460}, {\"source\": 196710, \"target\": 309875}, {\"source\": 196710, \"target\": 609904}, {\"source\": 37700, \"target\": 17368}, {\"source\": 37700, \"target\": 18672}, {\"source\": 37700, \"target\": 18837}, {\"source\": 37700, \"target\": 30264}, {\"source\": 37700, \"target\": 251342}, {\"source\": 37700, \"target\": 284460}, {\"source\": 37700, \"target\": 309875}, {\"source\": 37700, \"target\": 609904}, {\"source\": 37700, \"target\": 191595}, {\"source\": 284459, \"target\": 17368}, {\"source\": 284459, \"target\": 284460}, {\"source\": 284460, \"target\": 17368}, {\"source\": 284460, \"target\": 18837}, {\"source\": 284460, \"target\": 30264}, {\"source\": 284460, \"target\": 191595}, {\"source\": 284460, \"target\": 18672}, {\"source\": 284460, \"target\": 309875}, {\"source\": 284460, \"target\": 609904}, {\"source\": 191595, \"target\": 30264}, {\"source\": 191595, \"target\": 17368}, {\"source\": 191595, \"target\": 251342}, {\"source\": 251342, \"target\": 17368}, {\"source\": 251342, \"target\": 30264}, {\"source\": 251342, \"target\": 18672}, {\"source\": 251342, \"target\": 18837}, {\"source\": 609904, \"target\": 17368}, {\"source\": 609904, \"target\": 30264}, {\"source\": 18672, \"target\": 17368}, {\"source\": 18672, \"target\": 18837}, {\"source\": 18672, \"target\": 30264}, {\"source\": 309875, \"target\": 17368}, {\"source\": 309875, \"target\": 30264}, {\"source\": 18837, \"target\": 17368}, {\"source\": 18837, \"target\": 30264}, {\"source\": 17368, \"target\": 30264}]}",
"id": 2834,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Magnus Egerstedt, Jean-Louis Deneubourg, M. Ani Hsieh, Alcherio Martinoli, Marco Dorigo, Karthik Elamvazhuthi, Spring Berman, Manuele Brambilla, Dario Floreano, William Agassounon, Maja J. Matarić, Kjerstin Easton, Daniela Rus, Vijay Kumar\n- Research collaborations between these authors: Magnus Egerstedt and Vijay Kumar, Magnus Egerstedt and Daniela Rus, Magnus Egerstedt and Alcherio Martinoli, Magnus Egerstedt and Maja J. Matarić, Magnus Egerstedt and Karthik Elamvazhuthi, Magnus Egerstedt and Spring Berman, Jean-Louis Deneubourg and Marco Dorigo, Jean-Louis Deneubourg and Alcherio Martinoli, Jean-Louis Deneubourg and Maja J. Matarić, Jean-Louis Deneubourg and Dario Floreano, Jean-Louis Deneubourg and Spring Berman, M. Ani Hsieh and Vijay Kumar, M. Ani Hsieh and Maja J. Matarić, M. Ani Hsieh and Daniela Rus, M. Ani Hsieh and Alcherio Martinoli, M. Ani Hsieh and Spring Berman, M. Ani Hsieh and Kjerstin Easton, M. Ani Hsieh and William Agassounon, Alcherio Martinoli and Vijay Kumar, Alcherio Martinoli and Maja J. Matarić, Alcherio Martinoli and Daniela Rus, Alcherio Martinoli and Marco Dorigo, Alcherio Martinoli and Dario Floreano, Alcherio Martinoli and Spring Berman, Alcherio Martinoli and Kjerstin Easton, Alcherio Martinoli and William Agassounon, Alcherio Martinoli and Manuele Brambilla, Marco Dorigo and Vijay Kumar, Marco Dorigo and Maja J. Matarić, Marco Dorigo and Daniela Rus, Marco Dorigo and Manuele Brambilla, Marco Dorigo and Dario Floreano, Marco Dorigo and Spring Berman, Marco Dorigo and Kjerstin Easton, Marco Dorigo and William Agassounon, Karthik Elamvazhuthi and Vijay Kumar, Karthik Elamvazhuthi and Spring Berman, Spring Berman and Vijay Kumar, Spring Berman and Daniela Rus, Spring Berman and Manuele Brambilla, Spring Berman and Maja J. Matarić, Spring Berman and Kjerstin Easton, Spring Berman and William Agassounon, Manuele Brambilla and Vijay Kumar, Manuele Brambilla and Dario Floreano, Dario Floreano and Vijay Kumar, Dario Floreano and Maja J. Matarić, Dario Floreano and Daniela Rus, William Agassounon and Vijay Kumar, Maja J. Matarić and Vijay Kumar, Maja J. Matarić and Daniela Rus, Kjerstin Easton and Vijay Kumar, Daniela Rus and Vijay Kumar.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kalyan Pathapati Subbu, Brandon Gozick, William F. Storms, Jeremiah A. Shockley, J. Ruben Delgado-Contreras, Carlos Eric Galván-Tejada, Juan-Pablo García-Vázquez, Ramón F. Brena, Hector G. Ceballos, Wei-Ho Tsai, Jorge I. Galván-Tejada, Ram Dantu, Cin-Hao Ma, Frederick Eberhardt\n- Research collaborations between these authors: Kalyan Pathapati Subbu and Carlos Eric Galván-Tejada, Kalyan Pathapati Subbu and Juan-Pablo García-Vázquez, Kalyan Pathapati Subbu and Ramón F. Brena, Kalyan Pathapati Subbu and Ram Dantu, Kalyan Pathapati Subbu and Brandon Gozick, Brandon Gozick and Carlos Eric Galván-Tejada, Brandon Gozick and Juan-Pablo García-Vázquez, Brandon Gozick and Ramón F. Brena, Brandon Gozick and Ram Dantu, William F. Storms and Carlos Eric Galván-Tejada, William F. Storms and Juan-Pablo García-Vázquez, William F. Storms and Ramón F. Brena, Jeremiah A. Shockley and Carlos Eric Galván-Tejada, Jeremiah A. Shockley and Juan-Pablo García-Vázquez, Jeremiah A. Shockley and Ramón F. Brena, J. Ruben Delgado-Contreras and Juan-Pablo García-Vázquez, J. Ruben Delgado-Contreras and Ramón F. Brena, Carlos Eric Galván-Tejada and Wei-Ho Tsai, Carlos Eric Galván-Tejada and Juan-Pablo García-Vázquez, Carlos Eric Galván-Tejada and Ramón F. Brena, Carlos Eric Galván-Tejada and Ram Dantu, Carlos Eric Galván-Tejada and Frederick Eberhardt, Carlos Eric Galván-Tejada and Cin-Hao Ma, Carlos Eric Galván-Tejada and Jorge I. Galván-Tejada, Juan-Pablo García-Vázquez and Wei-Ho Tsai, Juan-Pablo García-Vázquez and Ramón F. Brena, Juan-Pablo García-Vázquez and Ram Dantu, Juan-Pablo García-Vázquez and Frederick Eberhardt, Juan-Pablo García-Vázquez and Cin-Hao Ma, Juan-Pablo García-Vázquez and Hector G. Ceballos, Juan-Pablo García-Vázquez and Jorge I. Galván-Tejada, Ramón F. Brena and Wei-Ho Tsai, Ramón F. Brena and Ram Dantu, Ramón F. Brena and Frederick Eberhardt, Ramón F. Brena and Cin-Hao Ma, Ramón F. Brena and Hector G. Ceballos, Ramón F. Brena and Jorge I. Galván-Tejada, Wei-Ho Tsai and Cin-Hao Ma.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Kalyan Pathapati Subbu\", \"id\": 605090}, {\"name\": \"Brandon Gozick\", \"id\": 620099}, {\"name\": \"William F. Storms\", \"id\": 558157}, {\"name\": \"Jeremiah A. Shockley\", \"id\": 558158}, {\"name\": \"J. Ruben Delgado-Contreras\", \"id\": 425712}, {\"name\": \"Carlos Eric Galv\\u00e1n-Tejada\", \"id\": 80049}, {\"name\": \"Juan-Pablo Garc\\u00eda-V\\u00e1zquez\", \"id\": 80050}, {\"name\": \"Ram\\u00f3n F. Brena\", \"id\": 80051}, {\"name\": \"Hector G. Ceballos\", \"id\": 80308}, {\"name\": \"Jorge I. Galv\\u00e1n-Tejada\", \"id\": 181687}, {\"name\": \"Ram Dantu\", \"id\": 108376}, {\"name\": \"Cin-Hao Ma\", \"id\": 767001}, {\"name\": \"Wei-Ho Tsai\", \"id\": 40798}, {\"name\": \"Frederick Eberhardt\", \"id\": 213278}], \"links\": [{\"source\": 605090, \"target\": 80049}, {\"source\": 605090, \"target\": 80050}, {\"source\": 605090, \"target\": 80051}, {\"source\": 605090, \"target\": 108376}, {\"source\": 605090, \"target\": 620099}, {\"source\": 620099, \"target\": 80049}, {\"source\": 620099, \"target\": 80050}, {\"source\": 620099, \"target\": 80051}, {\"source\": 620099, \"target\": 108376}, {\"source\": 558157, \"target\": 80049}, {\"source\": 558157, \"target\": 80050}, {\"source\": 558157, \"target\": 80051}, {\"source\": 558158, \"target\": 80049}, {\"source\": 558158, \"target\": 80050}, {\"source\": 558158, \"target\": 80051}, {\"source\": 425712, \"target\": 80050}, {\"source\": 425712, \"target\": 80051}, {\"source\": 80049, \"target\": 40798}, {\"source\": 80049, \"target\": 80050}, {\"source\": 80049, \"target\": 80051}, {\"source\": 80049, \"target\": 108376}, {\"source\": 80049, \"target\": 213278}, {\"source\": 80049, \"target\": 767001}, {\"source\": 80049, \"target\": 181687}, {\"source\": 80050, \"target\": 40798}, {\"source\": 80050, \"target\": 80051}, {\"source\": 80050, \"target\": 108376}, {\"source\": 80050, \"target\": 213278}, {\"source\": 80050, \"target\": 767001}, {\"source\": 80050, \"target\": 80308}, {\"source\": 80050, \"target\": 181687}, {\"source\": 80051, \"target\": 40798}, {\"source\": 80051, \"target\": 108376}, {\"source\": 80051, \"target\": 213278}, {\"source\": 80051, \"target\": 767001}, {\"source\": 80051, \"target\": 80308}, {\"source\": 80051, \"target\": 181687}, {\"source\": 767001, \"target\": 40798}]}",
"id": 31,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kalyan Pathapati Subbu, Brandon Gozick, William F. Storms, Jeremiah A. Shockley, J. Ruben Delgado-Contreras, Carlos Eric Galván-Tejada, Juan-Pablo García-Vázquez, Ramón F. Brena, Hector G. Ceballos, Wei-Ho Tsai, Jorge I. Galván-Tejada, Ram Dantu, Cin-Hao Ma, Frederick Eberhardt\n- Research collaborations between these authors: Kalyan Pathapati Subbu and Carlos Eric Galván-Tejada, Kalyan Pathapati Subbu and Juan-Pablo García-Vázquez, Kalyan Pathapati Subbu and Ramón F. Brena, Kalyan Pathapati Subbu and Ram Dantu, Kalyan Pathapati Subbu and Brandon Gozick, Brandon Gozick and Carlos Eric Galván-Tejada, Brandon Gozick and Juan-Pablo García-Vázquez, Brandon Gozick and Ramón F. Brena, Brandon Gozick and Ram Dantu, William F. Storms and Carlos Eric Galván-Tejada, William F. Storms and Juan-Pablo García-Vázquez, William F. Storms and Ramón F. Brena, Jeremiah A. Shockley and Carlos Eric Galván-Tejada, Jeremiah A. Shockley and Juan-Pablo García-Vázquez, Jeremiah A. Shockley and Ramón F. Brena, J. Ruben Delgado-Contreras and Juan-Pablo García-Vázquez, J. Ruben Delgado-Contreras and Ramón F. Brena, Carlos Eric Galván-Tejada and Wei-Ho Tsai, Carlos Eric Galván-Tejada and Juan-Pablo García-Vázquez, Carlos Eric Galván-Tejada and Ramón F. Brena, Carlos Eric Galván-Tejada and Ram Dantu, Carlos Eric Galván-Tejada and Frederick Eberhardt, Carlos Eric Galván-Tejada and Cin-Hao Ma, Carlos Eric Galván-Tejada and Jorge I. Galván-Tejada, Juan-Pablo García-Vázquez and Wei-Ho Tsai, Juan-Pablo García-Vázquez and Ramón F. Brena, Juan-Pablo García-Vázquez and Ram Dantu, Juan-Pablo García-Vázquez and Frederick Eberhardt, Juan-Pablo García-Vázquez and Cin-Hao Ma, Juan-Pablo García-Vázquez and Hector G. Ceballos, Juan-Pablo García-Vázquez and Jorge I. Galván-Tejada, Ramón F. Brena and Wei-Ho Tsai, Ramón F. Brena and Ram Dantu, Ramón F. Brena and Frederick Eberhardt, Ramón F. Brena and Cin-Hao Ma, Ramón F. Brena and Hector G. Ceballos, Ramón F. Brena and Jorge I. Galván-Tejada, Wei-Ho Tsai and Cin-Hao Ma.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bradley J. Nelson, Dong Sun, Antoine Ferreira, Kelly Sakaki, Shuk Han Cheng, Nikolai Dechev, Robert D. Burke, Wen J. Li, Edward J. Park, Yu Sun, James K. Mills, Guanghua Zong, Xinyu Liu, Youhua Tan\n- Research collaborations between these authors: Bradley J. Nelson and Xinyu Liu, Bradley J. Nelson and Yu Sun, Bradley J. Nelson and Antoine Ferreira, Bradley J. Nelson and Kelly Sakaki, Bradley J. Nelson and Nikolai Dechev, Bradley J. Nelson and Robert D. Burke, Bradley J. Nelson and Edward J. Park, Bradley J. Nelson and Dong Sun, Bradley J. Nelson and James K. Mills, Bradley J. Nelson and Shuk Han Cheng, Bradley J. Nelson and Wen J. Li, Dong Sun and Xinyu Liu, Dong Sun and Yu Sun, Dong Sun and Kelly Sakaki, Dong Sun and Nikolai Dechev, Dong Sun and Robert D. Burke, Dong Sun and Edward J. Park, Dong Sun and James K. Mills, Dong Sun and Shuk Han Cheng, Dong Sun and Wen J. Li, Dong Sun and Guanghua Zong, Dong Sun and Youhua Tan, Dong Sun and Antoine Ferreira, Antoine Ferreira and Xinyu Liu, Antoine Ferreira and Yu Sun, Antoine Ferreira and Shuk Han Cheng, Kelly Sakaki and Yu Sun, Kelly Sakaki and Nikolai Dechev, Kelly Sakaki and Robert D. Burke, Kelly Sakaki and Edward J. Park, Kelly Sakaki and James K. Mills, Kelly Sakaki and Shuk Han Cheng, Shuk Han Cheng and Xinyu Liu, Shuk Han Cheng and Nikolai Dechev, Shuk Han Cheng and Robert D. Burke, Shuk Han Cheng and Edward J. Park, Shuk Han Cheng and James K. Mills, Shuk Han Cheng and Yu Sun, Shuk Han Cheng and Wen J. Li, Shuk Han Cheng and Guanghua Zong, Shuk Han Cheng and Youhua Tan, Nikolai Dechev and Yu Sun, Nikolai Dechev and Robert D. Burke, Nikolai Dechev and Edward J. Park, Nikolai Dechev and James K. Mills, Robert D. Burke and Yu Sun, Robert D. Burke and Edward J. Park, Robert D. Burke and James K. Mills, Wen J. Li and James K. Mills, Wen J. Li and Youhua Tan, Edward J. Park and Yu Sun, Edward J. Park and James K. Mills, Yu Sun and Xinyu Liu, Yu Sun and James K. Mills, James K. Mills and Xinyu Liu, James K. Mills and Guanghua Zong, James K. Mills and Youhua Tan.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Bradley J. Nelson\", \"id\": 32640}, {\"name\": \"Dong Sun\", \"id\": 155140}, {\"name\": \"Antoine Ferreira\", \"id\": 253322}, {\"name\": \"Kelly Sakaki\", \"id\": 141389}, {\"name\": \"Shuk Han Cheng\", \"id\": 344686}, {\"name\": \"Nikolai Dechev\", \"id\": 141390}, {\"name\": \"Robert D. Burke\", \"id\": 141391}, {\"name\": \"Wen J. Li\", \"id\": 377261}, {\"name\": \"Edward J. Park\", \"id\": 141392}, {\"name\": \"Yu Sun\", \"id\": 31829}, {\"name\": \"James K. Mills\", \"id\": 200855}, {\"name\": \"Guanghua Zong\", \"id\": 488216}, {\"name\": \"Xinyu Liu\", \"id\": 14938}, {\"name\": \"Youhua Tan\", \"id\": 644407}], \"links\": [{\"source\": 32640, \"target\": 14938}, {\"source\": 32640, \"target\": 31829}, {\"source\": 32640, \"target\": 253322}, {\"source\": 32640, \"target\": 141389}, {\"source\": 32640, \"target\": 141390}, {\"source\": 32640, \"target\": 141391}, {\"source\": 32640, \"target\": 141392}, {\"source\": 32640, \"target\": 155140}, {\"source\": 32640, \"target\": 200855}, {\"source\": 32640, \"target\": 344686}, {\"source\": 32640, \"target\": 377261}, {\"source\": 155140, \"target\": 14938}, {\"source\": 155140, \"target\": 31829}, {\"source\": 155140, \"target\": 141389}, {\"source\": 155140, \"target\": 141390}, {\"source\": 155140, \"target\": 141391}, {\"source\": 155140, \"target\": 141392}, {\"source\": 155140, \"target\": 200855}, {\"source\": 155140, \"target\": 344686}, {\"source\": 155140, \"target\": 377261}, {\"source\": 155140, \"target\": 488216}, {\"source\": 155140, \"target\": 644407}, {\"source\": 155140, \"target\": 253322}, {\"source\": 253322, \"target\": 14938}, {\"source\": 253322, \"target\": 31829}, {\"source\": 253322, \"target\": 344686}, {\"source\": 141389, \"target\": 31829}, {\"source\": 141389, \"target\": 141390}, {\"source\": 141389, \"target\": 141391}, {\"source\": 141389, \"target\": 141392}, {\"source\": 141389, \"target\": 200855}, {\"source\": 141389, \"target\": 344686}, {\"source\": 344686, \"target\": 14938}, {\"source\": 344686, \"target\": 141390}, {\"source\": 344686, \"target\": 141391}, {\"source\": 344686, \"target\": 141392}, {\"source\": 344686, \"target\": 200855}, {\"source\": 344686, \"target\": 31829}, {\"source\": 344686, \"target\": 377261}, {\"source\": 344686, \"target\": 488216}, {\"source\": 344686, \"target\": 644407}, {\"source\": 141390, \"target\": 31829}, {\"source\": 141390, \"target\": 141391}, {\"source\": 141390, \"target\": 141392}, {\"source\": 141390, \"target\": 200855}, {\"source\": 141391, \"target\": 31829}, {\"source\": 141391, \"target\": 141392}, {\"source\": 141391, \"target\": 200855}, {\"source\": 377261, \"target\": 200855}, {\"source\": 377261, \"target\": 644407}, {\"source\": 141392, \"target\": 31829}, {\"source\": 141392, \"target\": 200855}, {\"source\": 31829, \"target\": 14938}, {\"source\": 31829, \"target\": 200855}, {\"source\": 200855, \"target\": 14938}, {\"source\": 200855, \"target\": 488216}, {\"source\": 200855, \"target\": 644407}]}",
"id": 1479,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bradley J. Nelson, Dong Sun, Antoine Ferreira, Kelly Sakaki, Shuk Han Cheng, Nikolai Dechev, Robert D. Burke, Wen J. Li, Edward J. Park, Yu Sun, James K. Mills, Guanghua Zong, Xinyu Liu, Youhua Tan\n- Research collaborations between these authors: Bradley J. Nelson and Xinyu Liu, Bradley J. Nelson and Yu Sun, Bradley J. Nelson and Antoine Ferreira, Bradley J. Nelson and Kelly Sakaki, Bradley J. Nelson and Nikolai Dechev, Bradley J. Nelson and Robert D. Burke, Bradley J. Nelson and Edward J. Park, Bradley J. Nelson and Dong Sun, Bradley J. Nelson and James K. Mills, Bradley J. Nelson and Shuk Han Cheng, Bradley J. Nelson and Wen J. Li, Dong Sun and Xinyu Liu, Dong Sun and Yu Sun, Dong Sun and Kelly Sakaki, Dong Sun and Nikolai Dechev, Dong Sun and Robert D. Burke, Dong Sun and Edward J. Park, Dong Sun and James K. Mills, Dong Sun and Shuk Han Cheng, Dong Sun and Wen J. Li, Dong Sun and Guanghua Zong, Dong Sun and Youhua Tan, Dong Sun and Antoine Ferreira, Antoine Ferreira and Xinyu Liu, Antoine Ferreira and Yu Sun, Antoine Ferreira and Shuk Han Cheng, Kelly Sakaki and Yu Sun, Kelly Sakaki and Nikolai Dechev, Kelly Sakaki and Robert D. Burke, Kelly Sakaki and Edward J. Park, Kelly Sakaki and James K. Mills, Kelly Sakaki and Shuk Han Cheng, Shuk Han Cheng and Xinyu Liu, Shuk Han Cheng and Nikolai Dechev, Shuk Han Cheng and Robert D. Burke, Shuk Han Cheng and Edward J. Park, Shuk Han Cheng and James K. Mills, Shuk Han Cheng and Yu Sun, Shuk Han Cheng and Wen J. Li, Shuk Han Cheng and Guanghua Zong, Shuk Han Cheng and Youhua Tan, Nikolai Dechev and Yu Sun, Nikolai Dechev and Robert D. Burke, Nikolai Dechev and Edward J. Park, Nikolai Dechev and James K. Mills, Robert D. Burke and Yu Sun, Robert D. Burke and Edward J. Park, Robert D. Burke and James K. Mills, Wen J. Li and James K. Mills, Wen J. Li and Youhua Tan, Edward J. Park and Yu Sun, Edward J. Park and James K. Mills, Yu Sun and Xinyu Liu, Yu Sun and James K. Mills, James K. Mills and Xinyu Liu, James K. Mills and Guanghua Zong, James K. Mills and Youhua Tan.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Michihiro Koibuchi, Ichiro Inoue, Michihiro Aoki, Shigeo Urushidani, Kaori Shimizu, Motonori Nakamura, Zhi Liu, Yusheng Ji, Shohei Kamamura, Kohei Shiomoto, Stein Gjessing, Shigeki Yamada, Kensuke Fukuda, Shunji Abe\n- Research collaborations between these authors: Michihiro Koibuchi and Kensuke Fukuda, Michihiro Koibuchi and Yusheng Ji, Michihiro Koibuchi and Motonori Nakamura, Michihiro Koibuchi and Shigeki Yamada, Michihiro Koibuchi and Kohei Shiomoto, Michihiro Koibuchi and Shunji Abe, Michihiro Koibuchi and Shigeo Urushidani, Michihiro Koibuchi and Kaori Shimizu, Michihiro Koibuchi and Ichiro Inoue, Michihiro Koibuchi and Zhi Liu, Michihiro Koibuchi and Michihiro Aoki, Ichiro Inoue and Kensuke Fukuda, Ichiro Inoue and Motonori Nakamura, Ichiro Inoue and Shigeki Yamada, Ichiro Inoue and Shunji Abe, Ichiro Inoue and Michihiro Aoki, Ichiro Inoue and Shigeo Urushidani, Ichiro Inoue and Shohei Kamamura, Michihiro Aoki and Yusheng Ji, Michihiro Aoki and Zhi Liu, Michihiro Aoki and Kensuke Fukuda, Michihiro Aoki and Motonori Nakamura, Michihiro Aoki and Shigeki Yamada, Michihiro Aoki and Kohei Shiomoto, Michihiro Aoki and Shunji Abe, Michihiro Aoki and Shigeo Urushidani, Michihiro Aoki and Kaori Shimizu, Shigeo Urushidani and Kensuke Fukuda, Shigeo Urushidani and Yusheng Ji, Shigeo Urushidani and Zhi Liu, Shigeo Urushidani and Motonori Nakamura, Shigeo Urushidani and Shigeki Yamada, Shigeo Urushidani and Shunji Abe, Shigeo Urushidani and Kohei Shiomoto, Shigeo Urushidani and Kaori Shimizu, Kaori Shimizu and Kensuke Fukuda, Kaori Shimizu and Motonori Nakamura, Kaori Shimizu and Shigeki Yamada, Kaori Shimizu and Shunji Abe, Motonori Nakamura and Kensuke Fukuda, Motonori Nakamura and Yusheng Ji, Motonori Nakamura and Shigeki Yamada, Motonori Nakamura and Kohei Shiomoto, Motonori Nakamura and Shunji Abe, Zhi Liu and Yusheng Ji, Zhi Liu and Kensuke Fukuda, Zhi Liu and Shigeki Yamada, Yusheng Ji and Kensuke Fukuda, Yusheng Ji and Shigeki Yamada, Yusheng Ji and Shunji Abe, Shohei Kamamura and Stein Gjessing, Shohei Kamamura and Kohei Shiomoto, Kohei Shiomoto and Kensuke Fukuda, Kohei Shiomoto and Shigeki Yamada, Kohei Shiomoto and Stein Gjessing, Kohei Shiomoto and Shunji Abe, Shigeki Yamada and Kensuke Fukuda, Shigeki Yamada and Shunji Abe, Kensuke Fukuda and Shunji Abe.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Michihiro Koibuchi\", \"id\": 29345}, {\"name\": \"Ichiro Inoue\", \"id\": 498757}, {\"name\": \"Michihiro Aoki\", \"id\": 257610}, {\"name\": \"Shigeo Urushidani\", \"id\": 257611}, {\"name\": \"Kaori Shimizu\", \"id\": 488395}, {\"name\": \"Motonori Nakamura\", \"id\": 131534}, {\"name\": \"Zhi Liu\", \"id\": 101299}, {\"name\": \"Yusheng Ji\", \"id\": 67766}, {\"name\": \"Shohei Kamamura\", \"id\": 379799}, {\"name\": \"Kohei Shiomoto\", \"id\": 179416}, {\"name\": \"Stein Gjessing\", \"id\": 154038}, {\"name\": \"Shigeki Yamada\", \"id\": 146074}, {\"name\": \"Kensuke Fukuda\", \"id\": 67068}, {\"name\": \"Shunji Abe\", \"id\": 248862}], \"links\": [{\"source\": 29345, \"target\": 67068}, {\"source\": 29345, \"target\": 67766}, {\"source\": 29345, \"target\": 131534}, {\"source\": 29345, \"target\": 146074}, {\"source\": 29345, \"target\": 179416}, {\"source\": 29345, \"target\": 248862}, {\"source\": 29345, \"target\": 257611}, {\"source\": 29345, \"target\": 488395}, {\"source\": 29345, \"target\": 498757}, {\"source\": 29345, \"target\": 101299}, {\"source\": 29345, \"target\": 257610}, {\"source\": 498757, \"target\": 67068}, {\"source\": 498757, \"target\": 131534}, {\"source\": 498757, \"target\": 146074}, {\"source\": 498757, \"target\": 248862}, {\"source\": 498757, \"target\": 257610}, {\"source\": 498757, \"target\": 257611}, {\"source\": 498757, \"target\": 379799}, {\"source\": 257610, \"target\": 67766}, {\"source\": 257610, \"target\": 101299}, {\"source\": 257610, \"target\": 67068}, {\"source\": 257610, \"target\": 131534}, {\"source\": 257610, \"target\": 146074}, {\"source\": 257610, \"target\": 179416}, {\"source\": 257610, \"target\": 248862}, {\"source\": 257610, \"target\": 257611}, {\"source\": 257610, \"target\": 488395}, {\"source\": 257611, \"target\": 67068}, {\"source\": 257611, \"target\": 67766}, {\"source\": 257611, \"target\": 101299}, {\"source\": 257611, \"target\": 131534}, {\"source\": 257611, \"target\": 146074}, {\"source\": 257611, \"target\": 248862}, {\"source\": 257611, \"target\": 179416}, {\"source\": 257611, \"target\": 488395}, {\"source\": 488395, \"target\": 67068}, {\"source\": 488395, \"target\": 131534}, {\"source\": 488395, \"target\": 146074}, {\"source\": 488395, \"target\": 248862}, {\"source\": 131534, \"target\": 67068}, {\"source\": 131534, \"target\": 67766}, {\"source\": 131534, \"target\": 146074}, {\"source\": 131534, \"target\": 179416}, {\"source\": 131534, \"target\": 248862}, {\"source\": 101299, \"target\": 67766}, {\"source\": 101299, \"target\": 67068}, {\"source\": 101299, \"target\": 146074}, {\"source\": 67766, \"target\": 67068}, {\"source\": 67766, \"target\": 146074}, {\"source\": 67766, \"target\": 248862}, {\"source\": 379799, \"target\": 154038}, {\"source\": 379799, \"target\": 179416}, {\"source\": 179416, \"target\": 67068}, {\"source\": 179416, \"target\": 146074}, {\"source\": 179416, \"target\": 154038}, {\"source\": 179416, \"target\": 248862}, {\"source\": 146074, \"target\": 67068}, {\"source\": 146074, \"target\": 248862}, {\"source\": 67068, \"target\": 248862}]}",
"id": 295,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Michihiro Koibuchi, Ichiro Inoue, Michihiro Aoki, Shigeo Urushidani, Kaori Shimizu, Motonori Nakamura, Zhi Liu, Yusheng Ji, Shohei Kamamura, Kohei Shiomoto, Stein Gjessing, Shigeki Yamada, Kensuke Fukuda, Shunji Abe\n- Research collaborations between these authors: Michihiro Koibuchi and Kensuke Fukuda, Michihiro Koibuchi and Yusheng Ji, Michihiro Koibuchi and Motonori Nakamura, Michihiro Koibuchi and Shigeki Yamada, Michihiro Koibuchi and Kohei Shiomoto, Michihiro Koibuchi and Shunji Abe, Michihiro Koibuchi and Shigeo Urushidani, Michihiro Koibuchi and Kaori Shimizu, Michihiro Koibuchi and Ichiro Inoue, Michihiro Koibuchi and Zhi Liu, Michihiro Koibuchi and Michihiro Aoki, Ichiro Inoue and Kensuke Fukuda, Ichiro Inoue and Motonori Nakamura, Ichiro Inoue and Shigeki Yamada, Ichiro Inoue and Shunji Abe, Ichiro Inoue and Michihiro Aoki, Ichiro Inoue and Shigeo Urushidani, Ichiro Inoue and Shohei Kamamura, Michihiro Aoki and Yusheng Ji, Michihiro Aoki and Zhi Liu, Michihiro Aoki and Kensuke Fukuda, Michihiro Aoki and Motonori Nakamura, Michihiro Aoki and Shigeki Yamada, Michihiro Aoki and Kohei Shiomoto, Michihiro Aoki and Shunji Abe, Michihiro Aoki and Shigeo Urushidani, Michihiro Aoki and Kaori Shimizu, Shigeo Urushidani and Kensuke Fukuda, Shigeo Urushidani and Yusheng Ji, Shigeo Urushidani and Zhi Liu, Shigeo Urushidani and Motonori Nakamura, Shigeo Urushidani and Shigeki Yamada, Shigeo Urushidani and Shunji Abe, Shigeo Urushidani and Kohei Shiomoto, Shigeo Urushidani and Kaori Shimizu, Kaori Shimizu and Kensuke Fukuda, Kaori Shimizu and Motonori Nakamura, Kaori Shimizu and Shigeki Yamada, Kaori Shimizu and Shunji Abe, Motonori Nakamura and Kensuke Fukuda, Motonori Nakamura and Yusheng Ji, Motonori Nakamura and Shigeki Yamada, Motonori Nakamura and Kohei Shiomoto, Motonori Nakamura and Shunji Abe, Zhi Liu and Yusheng Ji, Zhi Liu and Kensuke Fukuda, Zhi Liu and Shigeki Yamada, Yusheng Ji and Kensuke Fukuda, Yusheng Ji and Shigeki Yamada, Yusheng Ji and Shunji Abe, Shohei Kamamura and Stein Gjessing, Shohei Kamamura and Kohei Shiomoto, Kohei Shiomoto and Kensuke Fukuda, Kohei Shiomoto and Shigeki Yamada, Kohei Shiomoto and Stein Gjessing, Kohei Shiomoto and Shunji Abe, Shigeki Yamada and Kensuke Fukuda, Shigeki Yamada and Shunji Abe, Kensuke Fukuda and Shunji Abe.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Satoshi Komatsu, Kunihiro Asada, Takahiro J. Yamaguchi, Stephan Henzler, Doris Schmitt-Landsiedel, Takashi Kusaka, Shingo Mandai, Siegmar Koeppe, Winfried Kamp, H. Mulatz, David Blaauw, Fumihiro Minami, D. M. H. Walker, Toru Nakura\n- Research collaborations between these authors: Satoshi Komatsu and Takahiro J. Yamaguchi, Satoshi Komatsu and Toru Nakura, Satoshi Komatsu and Kunihiro Asada, Satoshi Komatsu and Takashi Kusaka, Kunihiro Asada and Takahiro J. Yamaguchi, Kunihiro Asada and Toru Nakura, Kunihiro Asada and David Blaauw, Kunihiro Asada and D. M. H. Walker, Kunihiro Asada and Stephan Henzler, Kunihiro Asada and Doris Schmitt-Landsiedel, Kunihiro Asada and Takashi Kusaka, Kunihiro Asada and Siegmar Koeppe, Kunihiro Asada and Winfried Kamp, Kunihiro Asada and H. Mulatz, Kunihiro Asada and Fumihiro Minami, Stephan Henzler and Shingo Mandai, Doris Schmitt-Landsiedel and Shingo Mandai, Takashi Kusaka and Toru Nakura, Takashi Kusaka and D. M. H. Walker, Takashi Kusaka and Fumihiro Minami, Shingo Mandai and Siegmar Koeppe, Shingo Mandai and Winfried Kamp, Shingo Mandai and H. Mulatz, David Blaauw and D. M. H. Walker, Fumihiro Minami and Toru Nakura, D. M. H. Walker and Toru Nakura.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Satoshi Komatsu\", \"id\": 366464}, {\"name\": \"Kunihiro Asada\", \"id\": 193475}, {\"name\": \"Takahiro J. Yamaguchi\", \"id\": 73508}, {\"name\": \"Stephan Henzler\", \"id\": 311365}, {\"name\": \"Doris Schmitt-Landsiedel\", \"id\": 311367}, {\"name\": \"Takashi Kusaka\", \"id\": 629292}, {\"name\": \"Shingo Mandai\", \"id\": 556365}, {\"name\": \"Siegmar Koeppe\", \"id\": 720721}, {\"name\": \"Winfried Kamp\", \"id\": 720722}, {\"name\": \"H. Mulatz\", \"id\": 720723}, {\"name\": \"David Blaauw\", \"id\": 223028}, {\"name\": \"Fumihiro Minami\", \"id\": 726641}, {\"name\": \"D. M. H. Walker\", \"id\": 251866}, {\"name\": \"Toru Nakura\", \"id\": 193471}], \"links\": [{\"source\": 366464, \"target\": 73508}, {\"source\": 366464, \"target\": 193471}, {\"source\": 366464, \"target\": 193475}, {\"source\": 366464, \"target\": 629292}, {\"source\": 193475, \"target\": 73508}, {\"source\": 193475, \"target\": 193471}, {\"source\": 193475, \"target\": 223028}, {\"source\": 193475, \"target\": 251866}, {\"source\": 193475, \"target\": 311365}, {\"source\": 193475, \"target\": 311367}, {\"source\": 193475, \"target\": 629292}, {\"source\": 193475, \"target\": 720721}, {\"source\": 193475, \"target\": 720722}, {\"source\": 193475, \"target\": 720723}, {\"source\": 193475, \"target\": 726641}, {\"source\": 311365, \"target\": 556365}, {\"source\": 311367, \"target\": 556365}, {\"source\": 629292, \"target\": 193471}, {\"source\": 629292, \"target\": 251866}, {\"source\": 629292, \"target\": 726641}, {\"source\": 556365, \"target\": 720721}, {\"source\": 556365, \"target\": 720722}, {\"source\": 556365, \"target\": 720723}, {\"source\": 223028, \"target\": 251866}, {\"source\": 726641, \"target\": 193471}, {\"source\": 251866, \"target\": 193471}]}",
"id": 839,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Satoshi Komatsu, Kunihiro Asada, Takahiro J. Yamaguchi, Stephan Henzler, Doris Schmitt-Landsiedel, Takashi Kusaka, Shingo Mandai, Siegmar Koeppe, Winfried Kamp, H. Mulatz, David Blaauw, Fumihiro Minami, D. M. H. Walker, Toru Nakura\n- Research collaborations between these authors: Satoshi Komatsu and Takahiro J. Yamaguchi, Satoshi Komatsu and Toru Nakura, Satoshi Komatsu and Kunihiro Asada, Satoshi Komatsu and Takashi Kusaka, Kunihiro Asada and Takahiro J. Yamaguchi, Kunihiro Asada and Toru Nakura, Kunihiro Asada and David Blaauw, Kunihiro Asada and D. M. H. Walker, Kunihiro Asada and Stephan Henzler, Kunihiro Asada and Doris Schmitt-Landsiedel, Kunihiro Asada and Takashi Kusaka, Kunihiro Asada and Siegmar Koeppe, Kunihiro Asada and Winfried Kamp, Kunihiro Asada and H. Mulatz, Kunihiro Asada and Fumihiro Minami, Stephan Henzler and Shingo Mandai, Doris Schmitt-Landsiedel and Shingo Mandai, Takashi Kusaka and Toru Nakura, Takashi Kusaka and D. M. H. Walker, Takashi Kusaka and Fumihiro Minami, Shingo Mandai and Siegmar Koeppe, Shingo Mandai and Winfried Kamp, Shingo Mandai and H. Mulatz, David Blaauw and D. M. H. Walker, Fumihiro Minami and Toru Nakura, D. M. H. Walker and Toru Nakura.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Holger Boche, Sander Wahls, Matthias Mehlhose, Tinku Rasheed, Thomas Wirth, Oliver Braz, Bernd Holfeld, Dennis Wieruch, Walid Saad, Lars Thiele, Peter Jung, Andreas Forck, Thomas Haustein, Volker Jungnickel\n- Research collaborations between these authors: Holger Boche and Thomas Haustein, Holger Boche and Volker Jungnickel, Holger Boche and Peter Jung, Holger Boche and Sander Wahls, Holger Boche and Lars Thiele, Holger Boche and Andreas Forck, Sander Wahls and Thomas Haustein, Sander Wahls and Thomas Wirth, Sander Wahls and Lars Thiele, Sander Wahls and Volker Jungnickel, Matthias Mehlhose and Thomas Haustein, Matthias Mehlhose and Thomas Wirth, Matthias Mehlhose and Dennis Wieruch, Matthias Mehlhose and Bernd Holfeld, Matthias Mehlhose and Lars Thiele, Tinku Rasheed and Thomas Wirth, Thomas Wirth and Walid Saad, Thomas Wirth and Thomas Haustein, Thomas Wirth and Dennis Wieruch, Thomas Wirth and Bernd Holfeld, Thomas Wirth and Lars Thiele, Thomas Wirth and Volker Jungnickel, Thomas Wirth and Andreas Forck, Thomas Wirth and Peter Jung, Thomas Wirth and Oliver Braz, Oliver Braz and Thomas Haustein, Bernd Holfeld and Dennis Wieruch, Bernd Holfeld and Walid Saad, Bernd Holfeld and Thomas Haustein, Dennis Wieruch and Thomas Haustein, Dennis Wieruch and Peter Jung, Lars Thiele and Thomas Haustein, Lars Thiele and Volker Jungnickel, Lars Thiele and Andreas Forck, Lars Thiele and Peter Jung, Andreas Forck and Thomas Haustein, Andreas Forck and Volker Jungnickel, Thomas Haustein and Volker Jungnickel.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Holger Boche\", \"id\": 227011}, {\"name\": \"Sander Wahls\", \"id\": 475207}, {\"name\": \"Matthias Mehlhose\", \"id\": 264424}, {\"name\": \"Tinku Rasheed\", \"id\": 45935}, {\"name\": \"Thomas Wirth\", \"id\": 243473}, {\"name\": \"Oliver Braz\", \"id\": 720245}, {\"name\": \"Bernd Holfeld\", \"id\": 243478}, {\"name\": \"Dennis Wieruch\", \"id\": 243477}, {\"name\": \"Walid Saad\", \"id\": 67862}, {\"name\": \"Lars Thiele\", \"id\": 252217}, {\"name\": \"Peter Jung\", \"id\": 358715}, {\"name\": \"Andreas Forck\", \"id\": 320380}, {\"name\": \"Thomas Haustein\", \"id\": 226077}, {\"name\": \"Volker Jungnickel\", \"id\": 288222}], \"links\": [{\"source\": 227011, \"target\": 226077}, {\"source\": 227011, \"target\": 288222}, {\"source\": 227011, \"target\": 358715}, {\"source\": 227011, \"target\": 475207}, {\"source\": 227011, \"target\": 252217}, {\"source\": 227011, \"target\": 320380}, {\"source\": 475207, \"target\": 226077}, {\"source\": 475207, \"target\": 243473}, {\"source\": 475207, \"target\": 252217}, {\"source\": 475207, \"target\": 288222}, {\"source\": 264424, \"target\": 226077}, {\"source\": 264424, \"target\": 243473}, {\"source\": 264424, \"target\": 243477}, {\"source\": 264424, \"target\": 243478}, {\"source\": 264424, \"target\": 252217}, {\"source\": 45935, \"target\": 243473}, {\"source\": 243473, \"target\": 67862}, {\"source\": 243473, \"target\": 226077}, {\"source\": 243473, \"target\": 243477}, {\"source\": 243473, \"target\": 243478}, {\"source\": 243473, \"target\": 252217}, {\"source\": 243473, \"target\": 288222}, {\"source\": 243473, \"target\": 320380}, {\"source\": 243473, \"target\": 358715}, {\"source\": 243473, \"target\": 720245}, {\"source\": 720245, \"target\": 226077}, {\"source\": 243478, \"target\": 243477}, {\"source\": 243478, \"target\": 67862}, {\"source\": 243478, \"target\": 226077}, {\"source\": 243477, \"target\": 226077}, {\"source\": 243477, \"target\": 358715}, {\"source\": 252217, \"target\": 226077}, {\"source\": 252217, \"target\": 288222}, {\"source\": 252217, \"target\": 320380}, {\"source\": 252217, \"target\": 358715}, {\"source\": 320380, \"target\": 226077}, {\"source\": 320380, \"target\": 288222}, {\"source\": 226077, \"target\": 288222}]}",
"id": 2902,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Holger Boche, Sander Wahls, Matthias Mehlhose, Tinku Rasheed, Thomas Wirth, Oliver Braz, Bernd Holfeld, Dennis Wieruch, Walid Saad, Lars Thiele, Peter Jung, Andreas Forck, Thomas Haustein, Volker Jungnickel\n- Research collaborations between these authors: Holger Boche and Thomas Haustein, Holger Boche and Volker Jungnickel, Holger Boche and Peter Jung, Holger Boche and Sander Wahls, Holger Boche and Lars Thiele, Holger Boche and Andreas Forck, Sander Wahls and Thomas Haustein, Sander Wahls and Thomas Wirth, Sander Wahls and Lars Thiele, Sander Wahls and Volker Jungnickel, Matthias Mehlhose and Thomas Haustein, Matthias Mehlhose and Thomas Wirth, Matthias Mehlhose and Dennis Wieruch, Matthias Mehlhose and Bernd Holfeld, Matthias Mehlhose and Lars Thiele, Tinku Rasheed and Thomas Wirth, Thomas Wirth and Walid Saad, Thomas Wirth and Thomas Haustein, Thomas Wirth and Dennis Wieruch, Thomas Wirth and Bernd Holfeld, Thomas Wirth and Lars Thiele, Thomas Wirth and Volker Jungnickel, Thomas Wirth and Andreas Forck, Thomas Wirth and Peter Jung, Thomas Wirth and Oliver Braz, Oliver Braz and Thomas Haustein, Bernd Holfeld and Dennis Wieruch, Bernd Holfeld and Walid Saad, Bernd Holfeld and Thomas Haustein, Dennis Wieruch and Thomas Haustein, Dennis Wieruch and Peter Jung, Lars Thiele and Thomas Haustein, Lars Thiele and Volker Jungnickel, Lars Thiele and Andreas Forck, Lars Thiele and Peter Jung, Andreas Forck and Thomas Haustein, Andreas Forck and Volker Jungnickel, Thomas Haustein and Volker Jungnickel.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Tuomo Raitio, Allison Druin, Takashi Masuko, Gérard Bailly, Stéphane Dupont, Thierry Dutoit, Benjamin Picart, Johnty Wang, Robert A. J. Clark, Heiga Zen, Keiichi Tokuda, Adela Barbulescu, Qiong Hu, Nicolas D'Alessandro\n- Research collaborations between these authors: Tuomo Raitio and Thierry Dutoit, Tuomo Raitio and Heiga Zen, Tuomo Raitio and Keiichi Tokuda, Tuomo Raitio and Takashi Masuko, Takashi Masuko and Thierry Dutoit, Takashi Masuko and Gérard Bailly, Takashi Masuko and Heiga Zen, Takashi Masuko and Keiichi Tokuda, Takashi Masuko and Qiong Hu, Takashi Masuko and Benjamin Picart, Gérard Bailly and Heiga Zen, Gérard Bailly and Keiichi Tokuda, Gérard Bailly and Adela Barbulescu, Stéphane Dupont and Thierry Dutoit, Stéphane Dupont and Keiichi Tokuda, Stéphane Dupont and Nicolas D'Alessandro, Stéphane Dupont and Benjamin Picart, Thierry Dutoit and Heiga Zen, Thierry Dutoit and Keiichi Tokuda, Thierry Dutoit and Nicolas D'Alessandro, Thierry Dutoit and Benjamin Picart, Thierry Dutoit and Adela Barbulescu, Thierry Dutoit and Qiong Hu, Thierry Dutoit and Johnty Wang, Benjamin Picart and Nicolas D'Alessandro, Benjamin Picart and Heiga Zen, Benjamin Picart and Keiichi Tokuda, Johnty Wang and Nicolas D'Alessandro, Robert A. J. Clark and Heiga Zen, Robert A. J. Clark and Keiichi Tokuda, Heiga Zen and Keiichi Tokuda, Heiga Zen and Qiong Hu, Keiichi Tokuda and Adela Barbulescu, Keiichi Tokuda and Qiong Hu, Adela Barbulescu and Nicolas D'Alessandro, Qiong Hu and Nicolas D'Alessandro.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Tuomo Raitio\", \"id\": 141825}, {\"name\": \"Allison Druin\", \"id\": 295202}, {\"name\": \"Takashi Masuko\", \"id\": 80388}, {\"name\": \"St\\u00e9phane Dupont\", \"id\": 46888}, {\"name\": \"Nicolas D'Alessandro\", \"id\": 134910}, {\"name\": \"Thierry Dutoit\", \"id\": 7934}, {\"name\": \"Benjamin Picart\", \"id\": 208306}, {\"name\": \"Johnty Wang\", \"id\": 212690}, {\"name\": \"Robert A. J. Clark\", \"id\": 205940}, {\"name\": \"Heiga Zen\", \"id\": 30549}, {\"name\": \"Keiichi Tokuda\", \"id\": 30551}, {\"name\": \"Adela Barbulescu\", \"id\": 124760}, {\"name\": \"Qiong Hu\", \"id\": 124764}, {\"name\": \"G\\u00e9rard Bailly\", \"id\": 12862}], \"links\": [{\"source\": 141825, \"target\": 7934}, {\"source\": 141825, \"target\": 30549}, {\"source\": 141825, \"target\": 30551}, {\"source\": 141825, \"target\": 80388}, {\"source\": 80388, \"target\": 7934}, {\"source\": 80388, \"target\": 12862}, {\"source\": 80388, \"target\": 30549}, {\"source\": 80388, \"target\": 30551}, {\"source\": 80388, \"target\": 124764}, {\"source\": 80388, \"target\": 208306}, {\"source\": 46888, \"target\": 7934}, {\"source\": 46888, \"target\": 30551}, {\"source\": 46888, \"target\": 134910}, {\"source\": 46888, \"target\": 208306}, {\"source\": 134910, \"target\": 7934}, {\"source\": 134910, \"target\": 124760}, {\"source\": 134910, \"target\": 124764}, {\"source\": 134910, \"target\": 208306}, {\"source\": 134910, \"target\": 212690}, {\"source\": 7934, \"target\": 30549}, {\"source\": 7934, \"target\": 30551}, {\"source\": 7934, \"target\": 208306}, {\"source\": 7934, \"target\": 124760}, {\"source\": 7934, \"target\": 124764}, {\"source\": 7934, \"target\": 212690}, {\"source\": 208306, \"target\": 30549}, {\"source\": 208306, \"target\": 30551}, {\"source\": 205940, \"target\": 30549}, {\"source\": 205940, \"target\": 30551}, {\"source\": 30549, \"target\": 12862}, {\"source\": 30549, \"target\": 30551}, {\"source\": 30549, \"target\": 124764}, {\"source\": 30551, \"target\": 12862}, {\"source\": 30551, \"target\": 124760}, {\"source\": 30551, \"target\": 124764}, {\"source\": 124760, \"target\": 12862}]}",
"id": 2344,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Tuomo Raitio, Allison Druin, Takashi Masuko, Gérard Bailly, Stéphane Dupont, Thierry Dutoit, Benjamin Picart, Johnty Wang, Robert A. J. Clark, Heiga Zen, Keiichi Tokuda, Adela Barbulescu, Qiong Hu, Nicolas D'Alessandro\n- Research collaborations between these authors: Tuomo Raitio and Thierry Dutoit, Tuomo Raitio and Heiga Zen, Tuomo Raitio and Keiichi Tokuda, Tuomo Raitio and Takashi Masuko, Takashi Masuko and Thierry Dutoit, Takashi Masuko and Gérard Bailly, Takashi Masuko and Heiga Zen, Takashi Masuko and Keiichi Tokuda, Takashi Masuko and Qiong Hu, Takashi Masuko and Benjamin Picart, Gérard Bailly and Heiga Zen, Gérard Bailly and Keiichi Tokuda, Gérard Bailly and Adela Barbulescu, Stéphane Dupont and Thierry Dutoit, Stéphane Dupont and Keiichi Tokuda, Stéphane Dupont and Nicolas D'Alessandro, Stéphane Dupont and Benjamin Picart, Thierry Dutoit and Heiga Zen, Thierry Dutoit and Keiichi Tokuda, Thierry Dutoit and Nicolas D'Alessandro, Thierry Dutoit and Benjamin Picart, Thierry Dutoit and Adela Barbulescu, Thierry Dutoit and Qiong Hu, Thierry Dutoit and Johnty Wang, Benjamin Picart and Nicolas D'Alessandro, Benjamin Picart and Heiga Zen, Benjamin Picart and Keiichi Tokuda, Johnty Wang and Nicolas D'Alessandro, Robert A. J. Clark and Heiga Zen, Robert A. J. Clark and Keiichi Tokuda, Heiga Zen and Keiichi Tokuda, Heiga Zen and Qiong Hu, Keiichi Tokuda and Adela Barbulescu, Keiichi Tokuda and Qiong Hu, Adela Barbulescu and Nicolas D'Alessandro, Qiong Hu and Nicolas D'Alessandro.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Ranjesh G. Jaganathan, Parag Beeraka, Scott Klasky, Ashwin A. Mendon, Philippe Olivier Alexandre Navaux, Ling Zhuo, Bin Huang, Ion Stoica, Katherine Compton, Ron Sass, Walter B. Ligon, Scott Shenker, Tinoosh Mohsenin, Keith D. Underwood\n- Research collaborations between these authors: Ranjesh G. Jaganathan and Keith D. Underwood, Ranjesh G. Jaganathan and Ron Sass, Ranjesh G. Jaganathan and Walter B. Ligon, Parag Beeraka and Ron Sass, Parag Beeraka and Keith D. Underwood, Scott Klasky and Ion Stoica, Scott Klasky and Scott Shenker, Scott Klasky and Keith D. Underwood, Scott Klasky and Walter B. Ligon, Ashwin A. Mendon and Ron Sass, Philippe Olivier Alexandre Navaux and Walter B. Ligon, Ling Zhuo and Keith D. Underwood, Bin Huang and Ron Sass, Ion Stoica and Scott Shenker, Ion Stoica and Walter B. Ligon, Katherine Compton and Keith D. Underwood, Katherine Compton and Ron Sass, Ron Sass and Keith D. Underwood, Ron Sass and Walter B. Ligon, Walter B. Ligon and Keith D. Underwood, Walter B. Ligon and Scott Shenker.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Ranjesh G. Jaganathan\", \"id\": 651267}, {\"name\": \"Parag Beeraka\", \"id\": 995396}, {\"name\": \"Scott Klasky\", \"id\": 34340}, {\"name\": \"Ashwin A. Mendon\", \"id\": 525510}, {\"name\": \"Philippe Olivier Alexandre Navaux\", \"id\": 57448}, {\"name\": \"Ling Zhuo\", \"id\": 113963}, {\"name\": \"Bin Huang\", \"id\": 309168}, {\"name\": \"Ion Stoica\", \"id\": 19443}, {\"name\": \"Katherine Compton\", \"id\": 282388}, {\"name\": \"Ron Sass\", \"id\": 137269}, {\"name\": \"Walter B. Ligon\", \"id\": 289562}, {\"name\": \"Scott Shenker\", \"id\": 32157}, {\"name\": \"Tinoosh Mohsenin\", \"id\": 231422}, {\"name\": \"Keith D. Underwood\", \"id\": 75327}], \"links\": [{\"source\": 651267, \"target\": 75327}, {\"source\": 651267, \"target\": 137269}, {\"source\": 651267, \"target\": 289562}, {\"source\": 995396, \"target\": 137269}, {\"source\": 995396, \"target\": 75327}, {\"source\": 34340, \"target\": 19443}, {\"source\": 34340, \"target\": 32157}, {\"source\": 34340, \"target\": 75327}, {\"source\": 34340, \"target\": 289562}, {\"source\": 525510, \"target\": 137269}, {\"source\": 57448, \"target\": 289562}, {\"source\": 113963, \"target\": 75327}, {\"source\": 309168, \"target\": 137269}, {\"source\": 19443, \"target\": 32157}, {\"source\": 19443, \"target\": 289562}, {\"source\": 282388, \"target\": 75327}, {\"source\": 282388, \"target\": 137269}, {\"source\": 137269, \"target\": 75327}, {\"source\": 137269, \"target\": 289562}, {\"source\": 289562, \"target\": 75327}, {\"source\": 289562, \"target\": 32157}]}",
"id": 316,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Ranjesh G. Jaganathan, Parag Beeraka, Scott Klasky, Ashwin A. Mendon, Philippe Olivier Alexandre Navaux, Ling Zhuo, Bin Huang, Ion Stoica, Katherine Compton, Ron Sass, Walter B. Ligon, Scott Shenker, Tinoosh Mohsenin, Keith D. Underwood\n- Research collaborations between these authors: Ranjesh G. Jaganathan and Keith D. Underwood, Ranjesh G. Jaganathan and Ron Sass, Ranjesh G. Jaganathan and Walter B. Ligon, Parag Beeraka and Ron Sass, Parag Beeraka and Keith D. Underwood, Scott Klasky and Ion Stoica, Scott Klasky and Scott Shenker, Scott Klasky and Keith D. Underwood, Scott Klasky and Walter B. Ligon, Ashwin A. Mendon and Ron Sass, Philippe Olivier Alexandre Navaux and Walter B. Ligon, Ling Zhuo and Keith D. Underwood, Bin Huang and Ron Sass, Ion Stoica and Scott Shenker, Ion Stoica and Walter B. Ligon, Katherine Compton and Keith D. Underwood, Katherine Compton and Ron Sass, Ron Sass and Keith D. Underwood, Ron Sass and Walter B. Ligon, Walter B. Ligon and Keith D. Underwood, Walter B. Ligon and Scott Shenker.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Chris Dyer, Chris Callison-Burch, Ido Dagan, Michael J. Collins, Hermann Ney, Anas Shahrour, Mohamed Al-Badrashiny, Michel Galley, John Makhoul, Ryan M. Roth, Mona T. Diab, Nizar Habash, Owen Rambow, Daniel N. Klein\n- Research collaborations between these authors: Chris Dyer and Hermann Ney, Chris Dyer and Daniel N. Klein, Chris Dyer and Michel Galley, Chris Dyer and Chris Callison-Burch, Chris Dyer and Nizar Habash, Chris Dyer and Owen Rambow, Chris Dyer and Mona T. Diab, Chris Dyer and Michael J. Collins, Chris Callison-Burch and Hermann Ney, Chris Callison-Burch and Daniel N. Klein, Chris Callison-Burch and Nizar Habash, Chris Callison-Burch and Michel Galley, Chris Callison-Burch and John Makhoul, Chris Callison-Burch and Mona T. Diab, Chris Callison-Burch and Ido Dagan, Chris Callison-Burch and Owen Rambow, Chris Callison-Burch and Michael J. Collins, Chris Callison-Burch and Mohamed Al-Badrashiny, Ido Dagan and Hermann Ney, Ido Dagan and Daniel N. Klein, Ido Dagan and Nizar Habash, Ido Dagan and Owen Rambow, Ido Dagan and Michel Galley, Michael J. Collins and Hermann Ney, Michael J. Collins and Daniel N. Klein, Michael J. Collins and Nizar Habash, Michael J. Collins and Owen Rambow, Michael J. Collins and Michel Galley, Hermann Ney and Daniel N. Klein, Hermann Ney and Nizar Habash, Hermann Ney and Owen Rambow, Hermann Ney and Michel Galley, Hermann Ney and John Makhoul, Hermann Ney and Mona T. Diab, Hermann Ney and Ryan M. Roth, Anas Shahrour and Nizar Habash, Anas Shahrour and Owen Rambow, Mohamed Al-Badrashiny and Nizar Habash, Mohamed Al-Badrashiny and Mona T. Diab, Mohamed Al-Badrashiny and Owen Rambow, Mohamed Al-Badrashiny and Ryan M. Roth, Michel Galley and Daniel N. Klein, John Makhoul and Nizar Habash, John Makhoul and Owen Rambow, Ryan M. Roth and Nizar Habash, Ryan M. Roth and Owen Rambow, Ryan M. Roth and Mona T. Diab, Mona T. Diab and Nizar Habash, Mona T. Diab and Owen Rambow, Mona T. Diab and Daniel N. Klein, Nizar Habash and Owen Rambow, Owen Rambow and Daniel N. Klein.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Chris Dyer\", \"id\": 107202}, {\"name\": \"Chris Callison-Burch\", \"id\": 69285}, {\"name\": \"Owen Rambow\", \"id\": 18621}, {\"name\": \"Ido Dagan\", \"id\": 63338}, {\"name\": \"Michael J. Collins\", \"id\": 131499}, {\"name\": \"Hermann Ney\", \"id\": 4492}, {\"name\": \"Anas Shahrour\", \"id\": 584077}, {\"name\": \"Michel Galley\", \"id\": 38706}, {\"name\": \"John Makhoul\", \"id\": 47735}, {\"name\": \"Ryan M. Roth\", \"id\": 388311}, {\"name\": \"Mona T. Diab\", \"id\": 57723}, {\"name\": \"Nizar Habash\", \"id\": 18620}, {\"name\": \"Mohamed Al-Badrashiny\", \"id\": 141277}, {\"name\": \"Daniel N. Klein\", \"id\": 5023}], \"links\": [{\"source\": 107202, \"target\": 4492}, {\"source\": 107202, \"target\": 5023}, {\"source\": 107202, \"target\": 38706}, {\"source\": 107202, \"target\": 69285}, {\"source\": 107202, \"target\": 18620}, {\"source\": 107202, \"target\": 18621}, {\"source\": 107202, \"target\": 57723}, {\"source\": 107202, \"target\": 131499}, {\"source\": 69285, \"target\": 4492}, {\"source\": 69285, \"target\": 5023}, {\"source\": 69285, \"target\": 18620}, {\"source\": 69285, \"target\": 38706}, {\"source\": 69285, \"target\": 47735}, {\"source\": 69285, \"target\": 57723}, {\"source\": 69285, \"target\": 63338}, {\"source\": 69285, \"target\": 18621}, {\"source\": 69285, \"target\": 131499}, {\"source\": 69285, \"target\": 141277}, {\"source\": 18621, \"target\": 4492}, {\"source\": 18621, \"target\": 18620}, {\"source\": 18621, \"target\": 5023}, {\"source\": 18621, \"target\": 57723}, {\"source\": 18621, \"target\": 131499}, {\"source\": 18621, \"target\": 388311}, {\"source\": 18621, \"target\": 47735}, {\"source\": 18621, \"target\": 63338}, {\"source\": 18621, \"target\": 141277}, {\"source\": 18621, \"target\": 584077}, {\"source\": 63338, \"target\": 4492}, {\"source\": 63338, \"target\": 5023}, {\"source\": 63338, \"target\": 18620}, {\"source\": 63338, \"target\": 38706}, {\"source\": 131499, \"target\": 4492}, {\"source\": 131499, \"target\": 5023}, {\"source\": 131499, \"target\": 18620}, {\"source\": 131499, \"target\": 38706}, {\"source\": 4492, \"target\": 5023}, {\"source\": 4492, \"target\": 18620}, {\"source\": 4492, \"target\": 38706}, {\"source\": 4492, \"target\": 47735}, {\"source\": 4492, \"target\": 57723}, {\"source\": 4492, \"target\": 388311}, {\"source\": 584077, \"target\": 18620}, {\"source\": 38706, \"target\": 5023}, {\"source\": 47735, \"target\": 18620}, {\"source\": 388311, \"target\": 18620}, {\"source\": 388311, \"target\": 57723}, {\"source\": 388311, \"target\": 141277}, {\"source\": 57723, \"target\": 18620}, {\"source\": 57723, \"target\": 5023}, {\"source\": 57723, \"target\": 141277}, {\"source\": 18620, \"target\": 141277}]}",
"id": 153,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Chris Dyer, Chris Callison-Burch, Ido Dagan, Michael J. Collins, Hermann Ney, Anas Shahrour, Mohamed Al-Badrashiny, Michel Galley, John Makhoul, Ryan M. Roth, Mona T. Diab, Nizar Habash, Owen Rambow, Daniel N. Klein\n- Research collaborations between these authors: Chris Dyer and Hermann Ney, Chris Dyer and Daniel N. Klein, Chris Dyer and Michel Galley, Chris Dyer and Chris Callison-Burch, Chris Dyer and Nizar Habash, Chris Dyer and Owen Rambow, Chris Dyer and Mona T. Diab, Chris Dyer and Michael J. Collins, Chris Callison-Burch and Hermann Ney, Chris Callison-Burch and Daniel N. Klein, Chris Callison-Burch and Nizar Habash, Chris Callison-Burch and Michel Galley, Chris Callison-Burch and John Makhoul, Chris Callison-Burch and Mona T. Diab, Chris Callison-Burch and Ido Dagan, Chris Callison-Burch and Owen Rambow, Chris Callison-Burch and Michael J. Collins, Chris Callison-Burch and Mohamed Al-Badrashiny, Ido Dagan and Hermann Ney, Ido Dagan and Daniel N. Klein, Ido Dagan and Nizar Habash, Ido Dagan and Owen Rambow, Ido Dagan and Michel Galley, Michael J. Collins and Hermann Ney, Michael J. Collins and Daniel N. Klein, Michael J. Collins and Nizar Habash, Michael J. Collins and Owen Rambow, Michael J. Collins and Michel Galley, Hermann Ney and Daniel N. Klein, Hermann Ney and Nizar Habash, Hermann Ney and Owen Rambow, Hermann Ney and Michel Galley, Hermann Ney and John Makhoul, Hermann Ney and Mona T. Diab, Hermann Ney and Ryan M. Roth, Anas Shahrour and Nizar Habash, Anas Shahrour and Owen Rambow, Mohamed Al-Badrashiny and Nizar Habash, Mohamed Al-Badrashiny and Mona T. Diab, Mohamed Al-Badrashiny and Owen Rambow, Mohamed Al-Badrashiny and Ryan M. Roth, Michel Galley and Daniel N. Klein, John Makhoul and Nizar Habash, John Makhoul and Owen Rambow, Ryan M. Roth and Nizar Habash, Ryan M. Roth and Owen Rambow, Ryan M. Roth and Mona T. Diab, Mona T. Diab and Nizar Habash, Mona T. Diab and Owen Rambow, Mona T. Diab and Daniel N. Klein, Nizar Habash and Owen Rambow, Owen Rambow and Daniel N. Klein.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Gianni Antichi, Sarang Dharmapurikar, Viktor K. Prasanna, He Wen, Patrick Crowley, Andrea Di Pietro, Qiu Tang, Domenico Ficara, Gregorio Procissi, Fabio Vitucci, Yanbing Liu, Siyu Guo, Stefano Giordano, Zhaosheng Teng\n- Research collaborations between these authors: Gianni Antichi and Stefano Giordano, Gianni Antichi and Andrea Di Pietro, Gianni Antichi and Gregorio Procissi, Gianni Antichi and Sarang Dharmapurikar, Gianni Antichi and Domenico Ficara, Gianni Antichi and Fabio Vitucci, Gianni Antichi and Patrick Crowley, Gianni Antichi and Qiu Tang, Sarang Dharmapurikar and Stefano Giordano, Sarang Dharmapurikar and Viktor K. Prasanna, Sarang Dharmapurikar and Andrea Di Pietro, Sarang Dharmapurikar and Gregorio Procissi, Sarang Dharmapurikar and Qiu Tang, Sarang Dharmapurikar and Domenico Ficara, Sarang Dharmapurikar and Fabio Vitucci, Sarang Dharmapurikar and Patrick Crowley, Viktor K. Prasanna and Patrick Crowley, Viktor K. Prasanna and Qiu Tang, He Wen and Zhaosheng Teng, He Wen and Siyu Guo, He Wen and Qiu Tang, Patrick Crowley and Stefano Giordano, Patrick Crowley and Yanbing Liu, Patrick Crowley and Andrea Di Pietro, Patrick Crowley and Gregorio Procissi, Patrick Crowley and Qiu Tang, Patrick Crowley and Domenico Ficara, Patrick Crowley and Fabio Vitucci, Andrea Di Pietro and Stefano Giordano, Andrea Di Pietro and Gregorio Procissi, Andrea Di Pietro and Domenico Ficara, Andrea Di Pietro and Fabio Vitucci, Andrea Di Pietro and Qiu Tang, Qiu Tang and Stefano Giordano, Qiu Tang and Yanbing Liu, Qiu Tang and Gregorio Procissi, Qiu Tang and Zhaosheng Teng, Qiu Tang and Domenico Ficara, Qiu Tang and Fabio Vitucci, Domenico Ficara and Stefano Giordano, Domenico Ficara and Gregorio Procissi, Domenico Ficara and Fabio Vitucci, Gregorio Procissi and Stefano Giordano, Gregorio Procissi and Fabio Vitucci, Fabio Vitucci and Stefano Giordano, Yanbing Liu and Stefano Giordano, Siyu Guo and Zhaosheng Teng.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Gianni Antichi\", \"id\": 106368}, {\"name\": \"Sarang Dharmapurikar\", \"id\": 297346}, {\"name\": \"Viktor K. Prasanna\", \"id\": 21606}, {\"name\": \"He Wen\", \"id\": 274249}, {\"name\": \"Patrick Crowley\", \"id\": 553993}, {\"name\": \"Andrea Di Pietro\", \"id\": 146091}, {\"name\": \"Qiu Tang\", \"id\": 431820}, {\"name\": \"Domenico Ficara\", \"id\": 509867}, {\"name\": \"Gregorio Procissi\", \"id\": 146092}, {\"name\": \"Fabio Vitucci\", \"id\": 509869}, {\"name\": \"Yanbing Liu\", \"id\": 73260}, {\"name\": \"Siyu Guo\", \"id\": 664652}, {\"name\": \"Stefano Giordano\", \"id\": 11506}, {\"name\": \"Zhaosheng Teng\", \"id\": 406169}], \"links\": [{\"source\": 106368, \"target\": 11506}, {\"source\": 106368, \"target\": 146091}, {\"source\": 106368, \"target\": 146092}, {\"source\": 106368, \"target\": 297346}, {\"source\": 106368, \"target\": 509867}, {\"source\": 106368, \"target\": 509869}, {\"source\": 106368, \"target\": 553993}, {\"source\": 106368, \"target\": 431820}, {\"source\": 297346, \"target\": 11506}, {\"source\": 297346, \"target\": 21606}, {\"source\": 297346, \"target\": 146091}, {\"source\": 297346, \"target\": 146092}, {\"source\": 297346, \"target\": 431820}, {\"source\": 297346, \"target\": 509867}, {\"source\": 297346, \"target\": 509869}, {\"source\": 297346, \"target\": 553993}, {\"source\": 21606, \"target\": 553993}, {\"source\": 21606, \"target\": 431820}, {\"source\": 274249, \"target\": 406169}, {\"source\": 274249, \"target\": 664652}, {\"source\": 274249, \"target\": 431820}, {\"source\": 553993, \"target\": 11506}, {\"source\": 553993, \"target\": 73260}, {\"source\": 553993, \"target\": 146091}, {\"source\": 553993, \"target\": 146092}, {\"source\": 553993, \"target\": 431820}, {\"source\": 553993, \"target\": 509867}, {\"source\": 553993, \"target\": 509869}, {\"source\": 146091, \"target\": 11506}, {\"source\": 146091, \"target\": 146092}, {\"source\": 146091, \"target\": 509867}, {\"source\": 146091, \"target\": 509869}, {\"source\": 146091, \"target\": 431820}, {\"source\": 431820, \"target\": 11506}, {\"source\": 431820, \"target\": 73260}, {\"source\": 431820, \"target\": 146092}, {\"source\": 431820, \"target\": 406169}, {\"source\": 431820, \"target\": 509867}, {\"source\": 431820, \"target\": 509869}, {\"source\": 509867, \"target\": 11506}, {\"source\": 509867, \"target\": 146092}, {\"source\": 509867, \"target\": 509869}, {\"source\": 146092, \"target\": 11506}, {\"source\": 146092, \"target\": 509869}, {\"source\": 509869, \"target\": 11506}, {\"source\": 73260, \"target\": 11506}, {\"source\": 664652, \"target\": 406169}]}",
"id": 961,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Gianni Antichi, Sarang Dharmapurikar, Viktor K. Prasanna, He Wen, Patrick Crowley, Andrea Di Pietro, Qiu Tang, Domenico Ficara, Gregorio Procissi, Fabio Vitucci, Yanbing Liu, Siyu Guo, Stefano Giordano, Zhaosheng Teng\n- Research collaborations between these authors: Gianni Antichi and Stefano Giordano, Gianni Antichi and Andrea Di Pietro, Gianni Antichi and Gregorio Procissi, Gianni Antichi and Sarang Dharmapurikar, Gianni Antichi and Domenico Ficara, Gianni Antichi and Fabio Vitucci, Gianni Antichi and Patrick Crowley, Gianni Antichi and Qiu Tang, Sarang Dharmapurikar and Stefano Giordano, Sarang Dharmapurikar and Viktor K. Prasanna, Sarang Dharmapurikar and Andrea Di Pietro, Sarang Dharmapurikar and Gregorio Procissi, Sarang Dharmapurikar and Qiu Tang, Sarang Dharmapurikar and Domenico Ficara, Sarang Dharmapurikar and Fabio Vitucci, Sarang Dharmapurikar and Patrick Crowley, Viktor K. Prasanna and Patrick Crowley, Viktor K. Prasanna and Qiu Tang, He Wen and Zhaosheng Teng, He Wen and Siyu Guo, He Wen and Qiu Tang, Patrick Crowley and Stefano Giordano, Patrick Crowley and Yanbing Liu, Patrick Crowley and Andrea Di Pietro, Patrick Crowley and Gregorio Procissi, Patrick Crowley and Qiu Tang, Patrick Crowley and Domenico Ficara, Patrick Crowley and Fabio Vitucci, Andrea Di Pietro and Stefano Giordano, Andrea Di Pietro and Gregorio Procissi, Andrea Di Pietro and Domenico Ficara, Andrea Di Pietro and Fabio Vitucci, Andrea Di Pietro and Qiu Tang, Qiu Tang and Stefano Giordano, Qiu Tang and Yanbing Liu, Qiu Tang and Gregorio Procissi, Qiu Tang and Zhaosheng Teng, Qiu Tang and Domenico Ficara, Qiu Tang and Fabio Vitucci, Domenico Ficara and Stefano Giordano, Domenico Ficara and Gregorio Procissi, Domenico Ficara and Fabio Vitucci, Gregorio Procissi and Stefano Giordano, Gregorio Procissi and Fabio Vitucci, Fabio Vitucci and Stefano Giordano, Yanbing Liu and Stefano Giordano, Siyu Guo and Zhaosheng Teng.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Gustavo J. Vulcano, Huseyin Topaloglu, Itir Z. Karaesmen, Stefanus Jasin, Robert A. Shumsky, Guillermo Gallego, William L. Cooper, Dan Zhang, Serguei Netessine, Kalyan T. Talluri, Garrett J. van Ryzin, Diwakar Gupta, Joern Meissner, Tito Homem-de-Mello\n- Research collaborations between these authors: Gustavo J. Vulcano and Dan Zhang, Gustavo J. Vulcano and Tito Homem-de-Mello, Gustavo J. Vulcano and Guillermo Gallego, Gustavo J. Vulcano and Joern Meissner, Gustavo J. Vulcano and Huseyin Topaloglu, Gustavo J. Vulcano and Kalyan T. Talluri, Gustavo J. Vulcano and Garrett J. van Ryzin, Gustavo J. Vulcano and William L. Cooper, Huseyin Topaloglu and Dan Zhang, Huseyin Topaloglu and Guillermo Gallego, Huseyin Topaloglu and Kalyan T. Talluri, Huseyin Topaloglu and Garrett J. van Ryzin, Huseyin Topaloglu and Itir Z. Karaesmen, Itir Z. Karaesmen and William L. Cooper, Itir Z. Karaesmen and Garrett J. van Ryzin, Stefanus Jasin and William L. Cooper, Stefanus Jasin and Joern Meissner, Robert A. Shumsky and William L. Cooper, Robert A. Shumsky and Serguei Netessine, Guillermo Gallego and Dan Zhang, Guillermo Gallego and William L. Cooper, Guillermo Gallego and Kalyan T. Talluri, Guillermo Gallego and Garrett J. van Ryzin, William L. Cooper and Dan Zhang, William L. Cooper and Tito Homem-de-Mello, William L. Cooper and Kalyan T. Talluri, William L. Cooper and Garrett J. van Ryzin, William L. Cooper and Serguei Netessine, William L. Cooper and Joern Meissner, William L. Cooper and Diwakar Gupta, Dan Zhang and Kalyan T. Talluri, Dan Zhang and Garrett J. van Ryzin, Dan Zhang and Joern Meissner, Serguei Netessine and Garrett J. van Ryzin, Kalyan T. Talluri and Garrett J. van Ryzin, Garrett J. van Ryzin and Tito Homem-de-Mello, Garrett J. van Ryzin and Joern Meissner, Garrett J. van Ryzin and Diwakar Gupta.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Gustavo J. Vulcano\", \"id\": 790560}, {\"name\": \"Huseyin Topaloglu\", \"id\": 442208}, {\"name\": \"Itir Z. Karaesmen\", \"id\": 628354}, {\"name\": \"Stefanus Jasin\", \"id\": 408996}, {\"name\": \"Diwakar Gupta\", \"id\": 602202}, {\"name\": \"Robert A. Shumsky\", \"id\": 484838}, {\"name\": \"William L. Cooper\", \"id\": 238833}, {\"name\": \"Dan Zhang\", \"id\": 13972}, {\"name\": \"Serguei Netessine\", \"id\": 639253}, {\"name\": \"Kalyan T. Talluri\", \"id\": 452664}, {\"name\": \"Garrett J. van Ryzin\", \"id\": 570617}, {\"name\": \"Guillermo Gallego\", \"id\": 255226}, {\"name\": \"Joern Meissner\", \"id\": 302427}, {\"name\": \"Tito Homem-de-Mello\", \"id\": 185759}], \"links\": [{\"source\": 790560, \"target\": 13972}, {\"source\": 790560, \"target\": 185759}, {\"source\": 790560, \"target\": 255226}, {\"source\": 790560, \"target\": 302427}, {\"source\": 790560, \"target\": 442208}, {\"source\": 790560, \"target\": 452664}, {\"source\": 790560, \"target\": 570617}, {\"source\": 790560, \"target\": 238833}, {\"source\": 442208, \"target\": 13972}, {\"source\": 442208, \"target\": 255226}, {\"source\": 442208, \"target\": 452664}, {\"source\": 442208, \"target\": 570617}, {\"source\": 442208, \"target\": 628354}, {\"source\": 628354, \"target\": 238833}, {\"source\": 628354, \"target\": 570617}, {\"source\": 408996, \"target\": 238833}, {\"source\": 408996, \"target\": 302427}, {\"source\": 602202, \"target\": 238833}, {\"source\": 602202, \"target\": 570617}, {\"source\": 484838, \"target\": 238833}, {\"source\": 484838, \"target\": 639253}, {\"source\": 238833, \"target\": 13972}, {\"source\": 238833, \"target\": 185759}, {\"source\": 238833, \"target\": 452664}, {\"source\": 238833, \"target\": 570617}, {\"source\": 238833, \"target\": 639253}, {\"source\": 238833, \"target\": 255226}, {\"source\": 238833, \"target\": 302427}, {\"source\": 13972, \"target\": 452664}, {\"source\": 13972, \"target\": 570617}, {\"source\": 13972, \"target\": 255226}, {\"source\": 13972, \"target\": 302427}, {\"source\": 639253, \"target\": 570617}, {\"source\": 452664, \"target\": 255226}, {\"source\": 452664, \"target\": 570617}, {\"source\": 570617, \"target\": 185759}, {\"source\": 570617, \"target\": 255226}, {\"source\": 570617, \"target\": 302427}]}",
"id": 1600,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Gustavo J. Vulcano, Huseyin Topaloglu, Itir Z. Karaesmen, Stefanus Jasin, Robert A. Shumsky, Guillermo Gallego, William L. Cooper, Dan Zhang, Serguei Netessine, Kalyan T. Talluri, Garrett J. van Ryzin, Diwakar Gupta, Joern Meissner, Tito Homem-de-Mello\n- Research collaborations between these authors: Gustavo J. Vulcano and Dan Zhang, Gustavo J. Vulcano and Tito Homem-de-Mello, Gustavo J. Vulcano and Guillermo Gallego, Gustavo J. Vulcano and Joern Meissner, Gustavo J. Vulcano and Huseyin Topaloglu, Gustavo J. Vulcano and Kalyan T. Talluri, Gustavo J. Vulcano and Garrett J. van Ryzin, Gustavo J. Vulcano and William L. Cooper, Huseyin Topaloglu and Dan Zhang, Huseyin Topaloglu and Guillermo Gallego, Huseyin Topaloglu and Kalyan T. Talluri, Huseyin Topaloglu and Garrett J. van Ryzin, Huseyin Topaloglu and Itir Z. Karaesmen, Itir Z. Karaesmen and William L. Cooper, Itir Z. Karaesmen and Garrett J. van Ryzin, Stefanus Jasin and William L. Cooper, Stefanus Jasin and Joern Meissner, Robert A. Shumsky and William L. Cooper, Robert A. Shumsky and Serguei Netessine, Guillermo Gallego and Dan Zhang, Guillermo Gallego and William L. Cooper, Guillermo Gallego and Kalyan T. Talluri, Guillermo Gallego and Garrett J. van Ryzin, William L. Cooper and Dan Zhang, William L. Cooper and Tito Homem-de-Mello, William L. Cooper and Kalyan T. Talluri, William L. Cooper and Garrett J. van Ryzin, William L. Cooper and Serguei Netessine, William L. Cooper and Joern Meissner, William L. Cooper and Diwakar Gupta, Dan Zhang and Kalyan T. Talluri, Dan Zhang and Garrett J. van Ryzin, Dan Zhang and Joern Meissner, Serguei Netessine and Garrett J. van Ryzin, Kalyan T. Talluri and Garrett J. van Ryzin, Garrett J. van Ryzin and Tito Homem-de-Mello, Garrett J. van Ryzin and Joern Meissner, Garrett J. van Ryzin and Diwakar Gupta.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kishan Chand Gupta, Kenneth G. Paterson, Willi Meier, Martin Vuagnoux, Anupam Chattopadhyay, Subhamoy Maitra, Adi Shamir, Atsuko Miyaji, Kris Gaj, Shahram Khazaei, Thomas Johansson, Goutam Paul, Prasanna Ravi, Yassir Nawaz\n- Research collaborations between these authors: Kishan Chand Gupta and Subhamoy Maitra, Kishan Chand Gupta and Anupam Chattopadhyay, Kishan Chand Gupta and Goutam Paul, Kishan Chand Gupta and Thomas Johansson, Kishan Chand Gupta and Willi Meier, Kishan Chand Gupta and Adi Shamir, Kenneth G. Paterson and Subhamoy Maitra, Kenneth G. Paterson and Goutam Paul, Willi Meier and Subhamoy Maitra, Willi Meier and Goutam Paul, Willi Meier and Thomas Johansson, Willi Meier and Shahram Khazaei, Willi Meier and Adi Shamir, Willi Meier and Martin Vuagnoux, Willi Meier and Atsuko Miyaji, Martin Vuagnoux and Subhamoy Maitra, Martin Vuagnoux and Atsuko Miyaji, Martin Vuagnoux and Goutam Paul, Martin Vuagnoux and Adi Shamir, Anupam Chattopadhyay and Subhamoy Maitra, Anupam Chattopadhyay and Goutam Paul, Anupam Chattopadhyay and Thomas Johansson, Anupam Chattopadhyay and Kris Gaj, Anupam Chattopadhyay and Yassir Nawaz, Anupam Chattopadhyay and Prasanna Ravi, Subhamoy Maitra and Goutam Paul, Subhamoy Maitra and Thomas Johansson, Subhamoy Maitra and Shahram Khazaei, Subhamoy Maitra and Adi Shamir, Subhamoy Maitra and Atsuko Miyaji, Adi Shamir and Atsuko Miyaji, Adi Shamir and Goutam Paul, Adi Shamir and Thomas Johansson, Adi Shamir and Yassir Nawaz, Atsuko Miyaji and Goutam Paul, Kris Gaj and Goutam Paul, Shahram Khazaei and Goutam Paul, Thomas Johansson and Goutam Paul, Goutam Paul and Yassir Nawaz, Goutam Paul and Prasanna Ravi.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Kishan Chand Gupta\", \"id\": 152064}, {\"name\": \"Kenneth G. Paterson\", \"id\": 48003}, {\"name\": \"Willi Meier\", \"id\": 2535}, {\"name\": \"Martin Vuagnoux\", \"id\": 197320}, {\"name\": \"Anupam Chattopadhyay\", \"id\": 19753}, {\"name\": \"Subhamoy Maitra\", \"id\": 9097}, {\"name\": \"Adi Shamir\", \"id\": 196779}, {\"name\": \"Atsuko Miyaji\", \"id\": 27147}, {\"name\": \"Kris Gaj\", \"id\": 101997}, {\"name\": \"Shahram Khazaei\", \"id\": 136363}, {\"name\": \"Thomas Johansson\", \"id\": 99733}, {\"name\": \"Goutam Paul\", \"id\": 33784}, {\"name\": \"Prasanna Ravi\", \"id\": 119960}, {\"name\": \"Yassir Nawaz\", \"id\": 152063}], \"links\": [{\"source\": 152064, \"target\": 9097}, {\"source\": 152064, \"target\": 19753}, {\"source\": 152064, \"target\": 33784}, {\"source\": 152064, \"target\": 99733}, {\"source\": 152064, \"target\": 2535}, {\"source\": 152064, \"target\": 196779}, {\"source\": 48003, \"target\": 9097}, {\"source\": 48003, \"target\": 33784}, {\"source\": 2535, \"target\": 9097}, {\"source\": 2535, \"target\": 33784}, {\"source\": 2535, \"target\": 99733}, {\"source\": 2535, \"target\": 136363}, {\"source\": 2535, \"target\": 196779}, {\"source\": 2535, \"target\": 197320}, {\"source\": 2535, \"target\": 27147}, {\"source\": 197320, \"target\": 9097}, {\"source\": 197320, \"target\": 27147}, {\"source\": 197320, \"target\": 33784}, {\"source\": 197320, \"target\": 196779}, {\"source\": 19753, \"target\": 9097}, {\"source\": 19753, \"target\": 33784}, {\"source\": 19753, \"target\": 99733}, {\"source\": 19753, \"target\": 101997}, {\"source\": 19753, \"target\": 152063}, {\"source\": 19753, \"target\": 119960}, {\"source\": 9097, \"target\": 33784}, {\"source\": 9097, \"target\": 99733}, {\"source\": 9097, \"target\": 136363}, {\"source\": 9097, \"target\": 196779}, {\"source\": 9097, \"target\": 27147}, {\"source\": 196779, \"target\": 27147}, {\"source\": 196779, \"target\": 33784}, {\"source\": 196779, \"target\": 99733}, {\"source\": 196779, \"target\": 152063}, {\"source\": 27147, \"target\": 33784}, {\"source\": 101997, \"target\": 33784}, {\"source\": 136363, \"target\": 33784}, {\"source\": 99733, \"target\": 33784}, {\"source\": 33784, \"target\": 152063}, {\"source\": 33784, \"target\": 119960}]}",
"id": 2632,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kishan Chand Gupta, Kenneth G. Paterson, Willi Meier, Martin Vuagnoux, Anupam Chattopadhyay, Subhamoy Maitra, Adi Shamir, Atsuko Miyaji, Kris Gaj, Shahram Khazaei, Thomas Johansson, Goutam Paul, Prasanna Ravi, Yassir Nawaz\n- Research collaborations between these authors: Kishan Chand Gupta and Subhamoy Maitra, Kishan Chand Gupta and Anupam Chattopadhyay, Kishan Chand Gupta and Goutam Paul, Kishan Chand Gupta and Thomas Johansson, Kishan Chand Gupta and Willi Meier, Kishan Chand Gupta and Adi Shamir, Kenneth G. Paterson and Subhamoy Maitra, Kenneth G. Paterson and Goutam Paul, Willi Meier and Subhamoy Maitra, Willi Meier and Goutam Paul, Willi Meier and Thomas Johansson, Willi Meier and Shahram Khazaei, Willi Meier and Adi Shamir, Willi Meier and Martin Vuagnoux, Willi Meier and Atsuko Miyaji, Martin Vuagnoux and Subhamoy Maitra, Martin Vuagnoux and Atsuko Miyaji, Martin Vuagnoux and Goutam Paul, Martin Vuagnoux and Adi Shamir, Anupam Chattopadhyay and Subhamoy Maitra, Anupam Chattopadhyay and Goutam Paul, Anupam Chattopadhyay and Thomas Johansson, Anupam Chattopadhyay and Kris Gaj, Anupam Chattopadhyay and Yassir Nawaz, Anupam Chattopadhyay and Prasanna Ravi, Subhamoy Maitra and Goutam Paul, Subhamoy Maitra and Thomas Johansson, Subhamoy Maitra and Shahram Khazaei, Subhamoy Maitra and Adi Shamir, Subhamoy Maitra and Atsuko Miyaji, Adi Shamir and Atsuko Miyaji, Adi Shamir and Goutam Paul, Adi Shamir and Thomas Johansson, Adi Shamir and Yassir Nawaz, Atsuko Miyaji and Goutam Paul, Kris Gaj and Goutam Paul, Shahram Khazaei and Goutam Paul, Thomas Johansson and Goutam Paul, Goutam Paul and Yassir Nawaz, Goutam Paul and Prasanna Ravi.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Lukáš Folwarczný, Niv Buchbinder, Jan Vitek, Paat Rusmevichientong, Anton Beloglazov, Koushik Sinha, R. Roundy, Joseph (Seffi) Naor, Marek Chrobak, Benjamin Moseley, Kirk Pruhs, Xiaohu Wu, Martin Birks, Retsef Levi\n- Research collaborations between these authors: Lukáš Folwarczný and Joseph (Seffi) Naor, Lukáš Folwarczný and Marek Chrobak, Niv Buchbinder and Joseph (Seffi) Naor, Niv Buchbinder and Marek Chrobak, Niv Buchbinder and Retsef Levi, Niv Buchbinder and R. Roundy, Paat Rusmevichientong and Retsef Levi, Paat Rusmevichientong and R. Roundy, Koushik Sinha and Marek Chrobak, R. Roundy and Marek Chrobak, R. Roundy and Retsef Levi, Joseph (Seffi) Naor and Marek Chrobak, Joseph (Seffi) Naor and Kirk Pruhs, Joseph (Seffi) Naor and Benjamin Moseley, Joseph (Seffi) Naor and Retsef Levi, Joseph (Seffi) Naor and Xiaohu Wu, Marek Chrobak and Kirk Pruhs, Marek Chrobak and Retsef Levi, Marek Chrobak and Benjamin Moseley, Marek Chrobak and Martin Birks, Benjamin Moseley and Kirk Pruhs, Kirk Pruhs and Martin Birks.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Luk\\u00e1\\u0161 Folwarczn\\u00fd\", \"id\": 297089}, {\"name\": \"Niv Buchbinder\", \"id\": 133505}, {\"name\": \"Jan Vitek\", \"id\": 58148}, {\"name\": \"Paat Rusmevichientong\", \"id\": 585829}, {\"name\": \"Anton Beloglazov\", \"id\": 372874}, {\"name\": \"Koushik Sinha\", \"id\": 87499}, {\"name\": \"R. Roundy\", \"id\": 391436}, {\"name\": \"Joseph (Seffi) Naor\", \"id\": 36493}, {\"name\": \"Marek Chrobak\", \"id\": 40303}, {\"name\": \"Benjamin Moseley\", \"id\": 48144}, {\"name\": \"Kirk Pruhs\", \"id\": 48145}, {\"name\": \"Xiaohu Wu\", \"id\": 443823}, {\"name\": \"Martin Birks\", \"id\": 125304}, {\"name\": \"Retsef Levi\", \"id\": 116253}], \"links\": [{\"source\": 297089, \"target\": 36493}, {\"source\": 297089, \"target\": 40303}, {\"source\": 133505, \"target\": 36493}, {\"source\": 133505, \"target\": 40303}, {\"source\": 133505, \"target\": 116253}, {\"source\": 133505, \"target\": 391436}, {\"source\": 585829, \"target\": 116253}, {\"source\": 585829, \"target\": 391436}, {\"source\": 87499, \"target\": 40303}, {\"source\": 391436, \"target\": 40303}, {\"source\": 391436, \"target\": 116253}, {\"source\": 36493, \"target\": 40303}, {\"source\": 36493, \"target\": 48145}, {\"source\": 36493, \"target\": 48144}, {\"source\": 36493, \"target\": 116253}, {\"source\": 36493, \"target\": 443823}, {\"source\": 40303, \"target\": 48145}, {\"source\": 40303, \"target\": 116253}, {\"source\": 40303, \"target\": 48144}, {\"source\": 40303, \"target\": 125304}, {\"source\": 48144, \"target\": 48145}, {\"source\": 48145, \"target\": 125304}]}",
"id": 693,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Lukáš Folwarczný, Niv Buchbinder, Jan Vitek, Paat Rusmevichientong, Anton Beloglazov, Koushik Sinha, R. Roundy, Joseph (Seffi) Naor, Marek Chrobak, Benjamin Moseley, Kirk Pruhs, Xiaohu Wu, Martin Birks, Retsef Levi\n- Research collaborations between these authors: Lukáš Folwarczný and Joseph (Seffi) Naor, Lukáš Folwarczný and Marek Chrobak, Niv Buchbinder and Joseph (Seffi) Naor, Niv Buchbinder and Marek Chrobak, Niv Buchbinder and Retsef Levi, Niv Buchbinder and R. Roundy, Paat Rusmevichientong and Retsef Levi, Paat Rusmevichientong and R. Roundy, Koushik Sinha and Marek Chrobak, R. Roundy and Marek Chrobak, R. Roundy and Retsef Levi, Joseph (Seffi) Naor and Marek Chrobak, Joseph (Seffi) Naor and Kirk Pruhs, Joseph (Seffi) Naor and Benjamin Moseley, Joseph (Seffi) Naor and Retsef Levi, Joseph (Seffi) Naor and Xiaohu Wu, Marek Chrobak and Kirk Pruhs, Marek Chrobak and Retsef Levi, Marek Chrobak and Benjamin Moseley, Marek Chrobak and Martin Birks, Benjamin Moseley and Kirk Pruhs, Kirk Pruhs and Martin Birks.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Luis E. Palafox, Robert Szewczyk, Deborah Estrin, Michael J. Franklin, Hai Jin, Satoshi Sekiguchi, Jianhua Dai, Namyoon Lee, Christof Bornhövd, Xenofon D. Koutsoukos, David E. Culler, Ricklef Wohlers, H.V. Poor, Bor-rong Chen\n- Research collaborations between these authors: Luis E. Palafox and David E. Culler, Luis E. Palafox and Robert Szewczyk, Robert Szewczyk and David E. Culler, Robert Szewczyk and Michael J. Franklin, Robert Szewczyk and Deborah Estrin, Robert Szewczyk and Xenofon D. Koutsoukos, Robert Szewczyk and Bor-rong Chen, Robert Szewczyk and Ricklef Wohlers, Deborah Estrin and David E. Culler, Deborah Estrin and Hai Jin, Deborah Estrin and Michael J. Franklin, Deborah Estrin and Xenofon D. Koutsoukos, Deborah Estrin and Bor-rong Chen, Michael J. Franklin and David E. Culler, Michael J. Franklin and Hai Jin, Hai Jin and David E. Culler, Namyoon Lee and H.V. Poor, Xenofon D. Koutsoukos and David E. Culler, David E. Culler and Bor-rong Chen, David E. Culler and Ricklef Wohlers.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Luis E. Palafox\", \"id\": 240833}, {\"name\": \"Robert Szewczyk\", \"id\": 220577}, {\"name\": \"Deborah Estrin\", \"id\": 52260}, {\"name\": \"Michael J. Franklin\", \"id\": 24900}, {\"name\": \"Hai Jin\", \"id\": 22632}, {\"name\": \"Satoshi Sekiguchi\", \"id\": 67049}, {\"name\": \"Jianhua Dai\", \"id\": 29711}, {\"name\": \"Namyoon Lee\", \"id\": 92913}, {\"name\": \"Christof Bornh\\u00f6vd\", \"id\": 60883}, {\"name\": \"Xenofon D. Koutsoukos\", \"id\": 62740}, {\"name\": \"David E. Culler\", \"id\": 9272}, {\"name\": \"Ricklef Wohlers\", \"id\": 602747}, {\"name\": \"H.V. Poor\", \"id\": 215676}, {\"name\": \"Bor-rong Chen\", \"id\": 363485}], \"links\": [{\"source\": 240833, \"target\": 9272}, {\"source\": 240833, \"target\": 220577}, {\"source\": 220577, \"target\": 9272}, {\"source\": 220577, \"target\": 24900}, {\"source\": 220577, \"target\": 52260}, {\"source\": 220577, \"target\": 62740}, {\"source\": 220577, \"target\": 363485}, {\"source\": 220577, \"target\": 602747}, {\"source\": 52260, \"target\": 9272}, {\"source\": 52260, \"target\": 22632}, {\"source\": 52260, \"target\": 24900}, {\"source\": 52260, \"target\": 62740}, {\"source\": 52260, \"target\": 363485}, {\"source\": 24900, \"target\": 9272}, {\"source\": 24900, \"target\": 22632}, {\"source\": 22632, \"target\": 9272}, {\"source\": 92913, \"target\": 215676}, {\"source\": 62740, \"target\": 9272}, {\"source\": 9272, \"target\": 363485}, {\"source\": 9272, \"target\": 602747}]}",
"id": 2789,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Luis E. Palafox, Robert Szewczyk, Deborah Estrin, Michael J. Franklin, Hai Jin, Satoshi Sekiguchi, Jianhua Dai, Namyoon Lee, Christof Bornhövd, Xenofon D. Koutsoukos, David E. Culler, Ricklef Wohlers, H.V. Poor, Bor-rong Chen\n- Research collaborations between these authors: Luis E. Palafox and David E. Culler, Luis E. Palafox and Robert Szewczyk, Robert Szewczyk and David E. Culler, Robert Szewczyk and Michael J. Franklin, Robert Szewczyk and Deborah Estrin, Robert Szewczyk and Xenofon D. Koutsoukos, Robert Szewczyk and Bor-rong Chen, Robert Szewczyk and Ricklef Wohlers, Deborah Estrin and David E. Culler, Deborah Estrin and Hai Jin, Deborah Estrin and Michael J. Franklin, Deborah Estrin and Xenofon D. Koutsoukos, Deborah Estrin and Bor-rong Chen, Michael J. Franklin and David E. Culler, Michael J. Franklin and Hai Jin, Hai Jin and David E. Culler, Namyoon Lee and H.V. Poor, Xenofon D. Koutsoukos and David E. Culler, David E. Culler and Bor-rong Chen, David E. Culler and Ricklef Wohlers.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bruno Hérissé, Rogelio Lozano, James F. Montgomery, Hugo Romero, Tarek Hamel, Gaurav S. Sukhatme, Franck Ruffier, Nicolas Franceschini, Pedro Castillo, Robert E. Mahony, Dario Floreano, Isabelle Fantoni, Eduardo Rondon, Luis Rodolfo Garcia Carrillo\n- Research collaborations between these authors: Bruno Hérissé and Robert E. Mahony, Bruno Hérissé and Tarek Hamel, Bruno Hérissé and Franck Ruffier, Bruno Hérissé and Isabelle Fantoni, Bruno Hérissé and Gaurav S. Sukhatme, Bruno Hérissé and Nicolas Franceschini, Bruno Hérissé and James F. Montgomery, Bruno Hérissé and Dario Floreano, Bruno Hérissé and Eduardo Rondon, Rogelio Lozano and Robert E. Mahony, Rogelio Lozano and Gaurav S. Sukhatme, Rogelio Lozano and Tarek Hamel, Rogelio Lozano and Nicolas Franceschini, Rogelio Lozano and Franck Ruffier, Rogelio Lozano and Isabelle Fantoni, Rogelio Lozano and Pedro Castillo, Rogelio Lozano and James F. Montgomery, Rogelio Lozano and Eduardo Rondon, Rogelio Lozano and Hugo Romero, Rogelio Lozano and Luis Rodolfo Garcia Carrillo, James F. Montgomery and Robert E. Mahony, James F. Montgomery and Gaurav S. Sukhatme, James F. Montgomery and Tarek Hamel, James F. Montgomery and Eduardo Rondon, Hugo Romero and Eduardo Rondon, Hugo Romero and Pedro Castillo, Tarek Hamel and Robert E. Mahony, Tarek Hamel and Gaurav S. Sukhatme, Tarek Hamel and Nicolas Franceschini, Tarek Hamel and Franck Ruffier, Tarek Hamel and Dario Floreano, Tarek Hamel and Isabelle Fantoni, Tarek Hamel and Luis Rodolfo Garcia Carrillo, Tarek Hamel and Eduardo Rondon, Gaurav S. Sukhatme and Robert E. Mahony, Gaurav S. Sukhatme and Franck Ruffier, Gaurav S. Sukhatme and Isabelle Fantoni, Gaurav S. Sukhatme and Dario Floreano, Gaurav S. Sukhatme and Luis Rodolfo Garcia Carrillo, Gaurav S. Sukhatme and Eduardo Rondon, Franck Ruffier and Robert E. Mahony, Franck Ruffier and Nicolas Franceschini, Franck Ruffier and Isabelle Fantoni, Franck Ruffier and Dario Floreano, Franck Ruffier and Eduardo Rondon, Nicolas Franceschini and Robert E. Mahony, Nicolas Franceschini and Dario Floreano, Nicolas Franceschini and Isabelle Fantoni, Nicolas Franceschini and Eduardo Rondon, Pedro Castillo and Isabelle Fantoni, Pedro Castillo and Eduardo Rondon, Robert E. Mahony and Dario Floreano, Robert E. Mahony and Isabelle Fantoni, Robert E. Mahony and Luis Rodolfo Garcia Carrillo, Robert E. Mahony and Eduardo Rondon, Dario Floreano and Isabelle Fantoni, Dario Floreano and Eduardo Rondon, Isabelle Fantoni and Eduardo Rondon, Eduardo Rondon and Luis Rodolfo Garcia Carrillo.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Bruno H\\u00e9riss\\u00e9\", \"id\": 239360}, {\"name\": \"Rogelio Lozano\", \"id\": 133569}, {\"name\": \"James F. Montgomery\", \"id\": 250913}, {\"name\": \"Hugo Romero\", \"id\": 811140}, {\"name\": \"Tarek Hamel\", \"id\": 180516}, {\"name\": \"Gaurav S. Sukhatme\", \"id\": 124617}, {\"name\": \"Franck Ruffier\", \"id\": 201322}, {\"name\": \"Nicolas Franceschini\", \"id\": 201321}, {\"name\": \"Pedro Castillo\", \"id\": 239374}, {\"name\": \"Robert E. Mahony\", \"id\": 69710}, {\"name\": \"Dario Floreano\", \"id\": 251342}, {\"name\": \"Isabelle Fantoni\", \"id\": 232849}, {\"name\": \"Eduardo Rondon\", \"id\": 549270}, {\"name\": \"Luis Rodolfo Garcia Carrillo\", \"id\": 437242}], \"links\": [{\"source\": 239360, \"target\": 69710}, {\"source\": 239360, \"target\": 180516}, {\"source\": 239360, \"target\": 201322}, {\"source\": 239360, \"target\": 232849}, {\"source\": 239360, \"target\": 124617}, {\"source\": 239360, \"target\": 201321}, {\"source\": 239360, \"target\": 250913}, {\"source\": 239360, \"target\": 251342}, {\"source\": 239360, \"target\": 549270}, {\"source\": 133569, \"target\": 69710}, {\"source\": 133569, \"target\": 124617}, {\"source\": 133569, \"target\": 180516}, {\"source\": 133569, \"target\": 201321}, {\"source\": 133569, \"target\": 201322}, {\"source\": 133569, \"target\": 232849}, {\"source\": 133569, \"target\": 239374}, {\"source\": 133569, \"target\": 250913}, {\"source\": 133569, \"target\": 549270}, {\"source\": 133569, \"target\": 811140}, {\"source\": 133569, \"target\": 437242}, {\"source\": 250913, \"target\": 69710}, {\"source\": 250913, \"target\": 124617}, {\"source\": 250913, \"target\": 180516}, {\"source\": 250913, \"target\": 549270}, {\"source\": 811140, \"target\": 549270}, {\"source\": 811140, \"target\": 239374}, {\"source\": 180516, \"target\": 69710}, {\"source\": 180516, \"target\": 124617}, {\"source\": 180516, \"target\": 201321}, {\"source\": 180516, \"target\": 201322}, {\"source\": 180516, \"target\": 251342}, {\"source\": 180516, \"target\": 232849}, {\"source\": 180516, \"target\": 437242}, {\"source\": 180516, \"target\": 549270}, {\"source\": 124617, \"target\": 69710}, {\"source\": 124617, \"target\": 201322}, {\"source\": 124617, \"target\": 232849}, {\"source\": 124617, \"target\": 251342}, {\"source\": 124617, \"target\": 437242}, {\"source\": 124617, \"target\": 549270}, {\"source\": 201322, \"target\": 69710}, {\"source\": 201322, \"target\": 201321}, {\"source\": 201322, \"target\": 232849}, {\"source\": 201322, \"target\": 251342}, {\"source\": 201322, \"target\": 549270}, {\"source\": 201321, \"target\": 69710}, {\"source\": 201321, \"target\": 251342}, {\"source\": 201321, \"target\": 232849}, {\"source\": 201321, \"target\": 549270}, {\"source\": 239374, \"target\": 232849}, {\"source\": 239374, \"target\": 549270}, {\"source\": 69710, \"target\": 251342}, {\"source\": 69710, \"target\": 232849}, {\"source\": 69710, \"target\": 437242}, {\"source\": 69710, \"target\": 549270}, {\"source\": 251342, \"target\": 232849}, {\"source\": 251342, \"target\": 549270}, {\"source\": 232849, \"target\": 549270}, {\"source\": 549270, \"target\": 437242}]}",
"id": 1418,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Bruno Hérissé, Rogelio Lozano, James F. Montgomery, Hugo Romero, Tarek Hamel, Gaurav S. Sukhatme, Franck Ruffier, Nicolas Franceschini, Pedro Castillo, Robert E. Mahony, Dario Floreano, Isabelle Fantoni, Eduardo Rondon, Luis Rodolfo Garcia Carrillo\n- Research collaborations between these authors: Bruno Hérissé and Robert E. Mahony, Bruno Hérissé and Tarek Hamel, Bruno Hérissé and Franck Ruffier, Bruno Hérissé and Isabelle Fantoni, Bruno Hérissé and Gaurav S. Sukhatme, Bruno Hérissé and Nicolas Franceschini, Bruno Hérissé and James F. Montgomery, Bruno Hérissé and Dario Floreano, Bruno Hérissé and Eduardo Rondon, Rogelio Lozano and Robert E. Mahony, Rogelio Lozano and Gaurav S. Sukhatme, Rogelio Lozano and Tarek Hamel, Rogelio Lozano and Nicolas Franceschini, Rogelio Lozano and Franck Ruffier, Rogelio Lozano and Isabelle Fantoni, Rogelio Lozano and Pedro Castillo, Rogelio Lozano and James F. Montgomery, Rogelio Lozano and Eduardo Rondon, Rogelio Lozano and Hugo Romero, Rogelio Lozano and Luis Rodolfo Garcia Carrillo, James F. Montgomery and Robert E. Mahony, James F. Montgomery and Gaurav S. Sukhatme, James F. Montgomery and Tarek Hamel, James F. Montgomery and Eduardo Rondon, Hugo Romero and Eduardo Rondon, Hugo Romero and Pedro Castillo, Tarek Hamel and Robert E. Mahony, Tarek Hamel and Gaurav S. Sukhatme, Tarek Hamel and Nicolas Franceschini, Tarek Hamel and Franck Ruffier, Tarek Hamel and Dario Floreano, Tarek Hamel and Isabelle Fantoni, Tarek Hamel and Luis Rodolfo Garcia Carrillo, Tarek Hamel and Eduardo Rondon, Gaurav S. Sukhatme and Robert E. Mahony, Gaurav S. Sukhatme and Franck Ruffier, Gaurav S. Sukhatme and Isabelle Fantoni, Gaurav S. Sukhatme and Dario Floreano, Gaurav S. Sukhatme and Luis Rodolfo Garcia Carrillo, Gaurav S. Sukhatme and Eduardo Rondon, Franck Ruffier and Robert E. Mahony, Franck Ruffier and Nicolas Franceschini, Franck Ruffier and Isabelle Fantoni, Franck Ruffier and Dario Floreano, Franck Ruffier and Eduardo Rondon, Nicolas Franceschini and Robert E. Mahony, Nicolas Franceschini and Dario Floreano, Nicolas Franceschini and Isabelle Fantoni, Nicolas Franceschini and Eduardo Rondon, Pedro Castillo and Isabelle Fantoni, Pedro Castillo and Eduardo Rondon, Robert E. Mahony and Dario Floreano, Robert E. Mahony and Isabelle Fantoni, Robert E. Mahony and Luis Rodolfo Garcia Carrillo, Robert E. Mahony and Eduardo Rondon, Dario Floreano and Isabelle Fantoni, Dario Floreano and Eduardo Rondon, Isabelle Fantoni and Eduardo Rondon, Eduardo Rondon and Luis Rodolfo Garcia Carrillo.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Huaigu Cao, Prem Natarajan, Shirin Saleem, Ehry MacRostie, Krishna Subramanian, Issam Bazzi, Premkumar Natarajan, Matin Kamali, C. V. Jawahar, Rohit Prasad, John Makhoul, Richard M. Schwartz, Premkumar Natajan, Zhidong Lu\n- Research collaborations between these authors: Huaigu Cao and Premkumar Natarajan, Huaigu Cao and Rohit Prasad, Huaigu Cao and Prem Natarajan, Huaigu Cao and Krishna Subramanian, Huaigu Cao and Issam Bazzi, Huaigu Cao and Richard M. Schwartz, Huaigu Cao and John Makhoul, Huaigu Cao and Shirin Saleem, Huaigu Cao and Ehry MacRostie, Huaigu Cao and Matin Kamali, Huaigu Cao and Premkumar Natajan, Huaigu Cao and Zhidong Lu, Prem Natarajan and Premkumar Natarajan, Prem Natarajan and Rohit Prasad, Prem Natarajan and Issam Bazzi, Prem Natarajan and Richard M. Schwartz, Prem Natarajan and John Makhoul, Prem Natarajan and Shirin Saleem, Prem Natarajan and Ehry MacRostie, Prem Natarajan and Krishna Subramanian, Prem Natarajan and Matin Kamali, Prem Natarajan and Premkumar Natajan, Prem Natarajan and Zhidong Lu, Shirin Saleem and Premkumar Natarajan, Shirin Saleem and Rohit Prasad, Shirin Saleem and Issam Bazzi, Shirin Saleem and Richard M. Schwartz, Shirin Saleem and John Makhoul, Shirin Saleem and Krishna Subramanian, Shirin Saleem and Premkumar Natajan, Shirin Saleem and Zhidong Lu, Shirin Saleem and Matin Kamali, Ehry MacRostie and Premkumar Natarajan, Ehry MacRostie and Rohit Prasad, Ehry MacRostie and C. V. Jawahar, Ehry MacRostie and Issam Bazzi, Ehry MacRostie and Richard M. Schwartz, Ehry MacRostie and John Makhoul, Ehry MacRostie and Premkumar Natajan, Ehry MacRostie and Zhidong Lu, Ehry MacRostie and Krishna Subramanian, Ehry MacRostie and Matin Kamali, Krishna Subramanian and Premkumar Natarajan, Krishna Subramanian and Rohit Prasad, Krishna Subramanian and Issam Bazzi, Krishna Subramanian and Richard M. Schwartz, Krishna Subramanian and John Makhoul, Krishna Subramanian and Matin Kamali, Krishna Subramanian and Premkumar Natajan, Krishna Subramanian and Zhidong Lu, Issam Bazzi and Premkumar Natarajan, Issam Bazzi and Rohit Prasad, Premkumar Natarajan and Rohit Prasad, Premkumar Natarajan and Richard M. Schwartz, Premkumar Natarajan and John Makhoul, Premkumar Natarajan and Matin Kamali, Premkumar Natarajan and Premkumar Natajan, Premkumar Natarajan and Zhidong Lu, Premkumar Natarajan and C. V. Jawahar, Matin Kamali and Rohit Prasad, Matin Kamali and Richard M. Schwartz, Matin Kamali and Zhidong Lu, Rohit Prasad and Richard M. Schwartz, Rohit Prasad and John Makhoul, Rohit Prasad and Premkumar Natajan, Rohit Prasad and Zhidong Lu, John Makhoul and Richard M. Schwartz.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Huaigu Cao\", \"id\": 192288}, {\"name\": \"Prem Natarajan\", \"id\": 54309}, {\"name\": \"Shirin Saleem\", \"id\": 54310}, {\"name\": \"Ehry MacRostie\", \"id\": 54311}, {\"name\": \"Krishna Subramanian\", \"id\": 54312}, {\"name\": \"Issam Bazzi\", \"id\": 24139}, {\"name\": \"Premkumar Natarajan\", \"id\": 19986}, {\"name\": \"Matin Kamali\", \"id\": 743762}, {\"name\": \"C. V. Jawahar\", \"id\": 42932}, {\"name\": \"Rohit Prasad\", \"id\": 26870}, {\"name\": \"John Makhoul\", \"id\": 47735}, {\"name\": \"Richard M. Schwartz\", \"id\": 26874}, {\"name\": \"Premkumar Natajan\", \"id\": 832763}, {\"name\": \"Zhidong Lu\", \"id\": 832764}], \"links\": [{\"source\": 192288, \"target\": 19986}, {\"source\": 192288, \"target\": 26870}, {\"source\": 192288, \"target\": 54309}, {\"source\": 192288, \"target\": 54312}, {\"source\": 192288, \"target\": 24139}, {\"source\": 192288, \"target\": 26874}, {\"source\": 192288, \"target\": 47735}, {\"source\": 192288, \"target\": 54310}, {\"source\": 192288, \"target\": 54311}, {\"source\": 192288, \"target\": 743762}, {\"source\": 192288, \"target\": 832763}, {\"source\": 192288, \"target\": 832764}, {\"source\": 54309, \"target\": 19986}, {\"source\": 54309, \"target\": 26870}, {\"source\": 54309, \"target\": 24139}, {\"source\": 54309, \"target\": 26874}, {\"source\": 54309, \"target\": 47735}, {\"source\": 54309, \"target\": 54310}, {\"source\": 54309, \"target\": 54311}, {\"source\": 54309, \"target\": 54312}, {\"source\": 54309, \"target\": 743762}, {\"source\": 54309, \"target\": 832763}, {\"source\": 54309, \"target\": 832764}, {\"source\": 54310, \"target\": 19986}, {\"source\": 54310, \"target\": 26870}, {\"source\": 54310, \"target\": 24139}, {\"source\": 54310, \"target\": 26874}, {\"source\": 54310, \"target\": 47735}, {\"source\": 54310, \"target\": 54312}, {\"source\": 54310, \"target\": 832763}, {\"source\": 54310, \"target\": 832764}, {\"source\": 54310, \"target\": 743762}, {\"source\": 54311, \"target\": 19986}, {\"source\": 54311, \"target\": 26870}, {\"source\": 54311, \"target\": 42932}, {\"source\": 54311, \"target\": 24139}, {\"source\": 54311, \"target\": 26874}, {\"source\": 54311, \"target\": 47735}, {\"source\": 54311, \"target\": 832763}, {\"source\": 54311, \"target\": 832764}, {\"source\": 54311, \"target\": 54312}, {\"source\": 54311, \"target\": 743762}, {\"source\": 54312, \"target\": 19986}, {\"source\": 54312, \"target\": 26870}, {\"source\": 54312, \"target\": 24139}, {\"source\": 54312, \"target\": 26874}, {\"source\": 54312, \"target\": 47735}, {\"source\": 54312, \"target\": 743762}, {\"source\": 54312, \"target\": 832763}, {\"source\": 54312, \"target\": 832764}, {\"source\": 24139, \"target\": 19986}, {\"source\": 24139, \"target\": 26870}, {\"source\": 19986, \"target\": 26870}, {\"source\": 19986, \"target\": 26874}, {\"source\": 19986, \"target\": 47735}, {\"source\": 19986, \"target\": 743762}, {\"source\": 19986, \"target\": 832763}, {\"source\": 19986, \"target\": 832764}, {\"source\": 19986, \"target\": 42932}, {\"source\": 743762, \"target\": 26870}, {\"source\": 743762, \"target\": 26874}, {\"source\": 743762, \"target\": 832764}, {\"source\": 26870, \"target\": 26874}, {\"source\": 26870, \"target\": 47735}, {\"source\": 26870, \"target\": 832763}, {\"source\": 26870, \"target\": 832764}, {\"source\": 47735, \"target\": 26874}]}",
"id": 2825,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Huaigu Cao, Prem Natarajan, Shirin Saleem, Ehry MacRostie, Krishna Subramanian, Issam Bazzi, Premkumar Natarajan, Matin Kamali, C. V. Jawahar, Rohit Prasad, John Makhoul, Richard M. Schwartz, Premkumar Natajan, Zhidong Lu\n- Research collaborations between these authors: Huaigu Cao and Premkumar Natarajan, Huaigu Cao and Rohit Prasad, Huaigu Cao and Prem Natarajan, Huaigu Cao and Krishna Subramanian, Huaigu Cao and Issam Bazzi, Huaigu Cao and Richard M. Schwartz, Huaigu Cao and John Makhoul, Huaigu Cao and Shirin Saleem, Huaigu Cao and Ehry MacRostie, Huaigu Cao and Matin Kamali, Huaigu Cao and Premkumar Natajan, Huaigu Cao and Zhidong Lu, Prem Natarajan and Premkumar Natarajan, Prem Natarajan and Rohit Prasad, Prem Natarajan and Issam Bazzi, Prem Natarajan and Richard M. Schwartz, Prem Natarajan and John Makhoul, Prem Natarajan and Shirin Saleem, Prem Natarajan and Ehry MacRostie, Prem Natarajan and Krishna Subramanian, Prem Natarajan and Matin Kamali, Prem Natarajan and Premkumar Natajan, Prem Natarajan and Zhidong Lu, Shirin Saleem and Premkumar Natarajan, Shirin Saleem and Rohit Prasad, Shirin Saleem and Issam Bazzi, Shirin Saleem and Richard M. Schwartz, Shirin Saleem and John Makhoul, Shirin Saleem and Krishna Subramanian, Shirin Saleem and Premkumar Natajan, Shirin Saleem and Zhidong Lu, Shirin Saleem and Matin Kamali, Ehry MacRostie and Premkumar Natarajan, Ehry MacRostie and Rohit Prasad, Ehry MacRostie and C. V. Jawahar, Ehry MacRostie and Issam Bazzi, Ehry MacRostie and Richard M. Schwartz, Ehry MacRostie and John Makhoul, Ehry MacRostie and Premkumar Natajan, Ehry MacRostie and Zhidong Lu, Ehry MacRostie and Krishna Subramanian, Ehry MacRostie and Matin Kamali, Krishna Subramanian and Premkumar Natarajan, Krishna Subramanian and Rohit Prasad, Krishna Subramanian and Issam Bazzi, Krishna Subramanian and Richard M. Schwartz, Krishna Subramanian and John Makhoul, Krishna Subramanian and Matin Kamali, Krishna Subramanian and Premkumar Natajan, Krishna Subramanian and Zhidong Lu, Issam Bazzi and Premkumar Natarajan, Issam Bazzi and Rohit Prasad, Premkumar Natarajan and Rohit Prasad, Premkumar Natarajan and Richard M. Schwartz, Premkumar Natarajan and John Makhoul, Premkumar Natarajan and Matin Kamali, Premkumar Natarajan and Premkumar Natajan, Premkumar Natarajan and Zhidong Lu, Premkumar Natarajan and C. V. Jawahar, Matin Kamali and Rohit Prasad, Matin Kamali and Richard M. Schwartz, Matin Kamali and Zhidong Lu, Rohit Prasad and Richard M. Schwartz, Rohit Prasad and John Makhoul, Rohit Prasad and Premkumar Natajan, Rohit Prasad and Zhidong Lu, John Makhoul and Richard M. Schwartz.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Brent Martin, Kenneth R. Koedinger, Stephen B. Blessing, Kurt VanLehn, Michael Oren, Stephen B. Gilbert, Donald Treacy, Bruce M. McLaren, Antonija Mitrovic, Collin Lynch, William B. Thompson, Enruo Guo, Albert T. Corbett, Peter Willemsen\n- Research collaborations between these authors: Brent Martin and Stephen B. Gilbert, Brent Martin and Kenneth R. Koedinger, Brent Martin and Antonija Mitrovic, Brent Martin and Bruce M. McLaren, Brent Martin and Stephen B. Blessing, Brent Martin and Kurt VanLehn, Kenneth R. Koedinger and Stephen B. Gilbert, Kenneth R. Koedinger and Kurt VanLehn, Kenneth R. Koedinger and Antonija Mitrovic, Kenneth R. Koedinger and Collin Lynch, Kenneth R. Koedinger and Bruce M. McLaren, Kenneth R. Koedinger and Albert T. Corbett, Kenneth R. Koedinger and Stephen B. Blessing, Kenneth R. Koedinger and Donald Treacy, Stephen B. Blessing and Stephen B. Gilbert, Stephen B. Blessing and Enruo Guo, Stephen B. Blessing and Bruce M. McLaren, Stephen B. Blessing and Kurt VanLehn, Stephen B. Blessing and Antonija Mitrovic, Stephen B. Blessing and Collin Lynch, Stephen B. Blessing and Albert T. Corbett, Stephen B. Blessing and Donald Treacy, Kurt VanLehn and Stephen B. Gilbert, Kurt VanLehn and Antonija Mitrovic, Kurt VanLehn and Collin Lynch, Kurt VanLehn and Bruce M. McLaren, Kurt VanLehn and Albert T. Corbett, Kurt VanLehn and Donald Treacy, Michael Oren and Stephen B. Gilbert, Stephen B. Gilbert and Antonija Mitrovic, Stephen B. Gilbert and Collin Lynch, Stephen B. Gilbert and Albert T. Corbett, Stephen B. Gilbert and Peter Willemsen, Stephen B. Gilbert and Donald Treacy, Stephen B. Gilbert and William B. Thompson, Stephen B. Gilbert and Enruo Guo, Stephen B. Gilbert and Bruce M. McLaren, Donald Treacy and Antonija Mitrovic, Donald Treacy and Collin Lynch, Donald Treacy and Bruce M. McLaren, Bruce M. McLaren and Antonija Mitrovic, Bruce M. McLaren and Collin Lynch, Bruce M. McLaren and Albert T. Corbett, Antonija Mitrovic and Collin Lynch, William B. Thompson and Peter Willemsen.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Brent Martin\", \"id\": 106312}, {\"name\": \"Kenneth R. Koedinger\", \"id\": 8040}, {\"name\": \"Stephen B. Blessing\", \"id\": 76845}, {\"name\": \"Kurt VanLehn\", \"id\": 16335}, {\"name\": \"Michael Oren\", \"id\": 3632}, {\"name\": \"Stephen B. Gilbert\", \"id\": 3633}, {\"name\": \"Donald Treacy\", \"id\": 298130}, {\"name\": \"Bruce M. McLaren\", \"id\": 48179}, {\"name\": \"Antonija Mitrovic\", \"id\": 30546}, {\"name\": \"Collin Lynch\", \"id\": 37653}, {\"name\": \"William B. Thompson\", \"id\": 350072}, {\"name\": \"Enruo Guo\", \"id\": 35065}, {\"name\": \"Albert T. Corbett\", \"id\": 60635}, {\"name\": \"Peter Willemsen\", \"id\": 153211}], \"links\": [{\"source\": 106312, \"target\": 3633}, {\"source\": 106312, \"target\": 8040}, {\"source\": 106312, \"target\": 30546}, {\"source\": 106312, \"target\": 48179}, {\"source\": 106312, \"target\": 76845}, {\"source\": 106312, \"target\": 16335}, {\"source\": 8040, \"target\": 3633}, {\"source\": 8040, \"target\": 16335}, {\"source\": 8040, \"target\": 30546}, {\"source\": 8040, \"target\": 37653}, {\"source\": 8040, \"target\": 48179}, {\"source\": 8040, \"target\": 60635}, {\"source\": 8040, \"target\": 76845}, {\"source\": 8040, \"target\": 298130}, {\"source\": 76845, \"target\": 3633}, {\"source\": 76845, \"target\": 35065}, {\"source\": 76845, \"target\": 48179}, {\"source\": 76845, \"target\": 16335}, {\"source\": 76845, \"target\": 30546}, {\"source\": 76845, \"target\": 37653}, {\"source\": 76845, \"target\": 60635}, {\"source\": 76845, \"target\": 298130}, {\"source\": 16335, \"target\": 3633}, {\"source\": 16335, \"target\": 30546}, {\"source\": 16335, \"target\": 37653}, {\"source\": 16335, \"target\": 48179}, {\"source\": 16335, \"target\": 60635}, {\"source\": 16335, \"target\": 298130}, {\"source\": 3632, \"target\": 3633}, {\"source\": 3633, \"target\": 30546}, {\"source\": 3633, \"target\": 37653}, {\"source\": 3633, \"target\": 60635}, {\"source\": 3633, \"target\": 153211}, {\"source\": 3633, \"target\": 298130}, {\"source\": 3633, \"target\": 350072}, {\"source\": 3633, \"target\": 35065}, {\"source\": 3633, \"target\": 48179}, {\"source\": 298130, \"target\": 30546}, {\"source\": 298130, \"target\": 37653}, {\"source\": 298130, \"target\": 48179}, {\"source\": 48179, \"target\": 30546}, {\"source\": 48179, \"target\": 37653}, {\"source\": 48179, \"target\": 60635}, {\"source\": 30546, \"target\": 37653}, {\"source\": 350072, \"target\": 153211}]}",
"id": 1330,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Brent Martin, Kenneth R. Koedinger, Stephen B. Blessing, Kurt VanLehn, Michael Oren, Stephen B. Gilbert, Donald Treacy, Bruce M. McLaren, Antonija Mitrovic, Collin Lynch, William B. Thompson, Enruo Guo, Albert T. Corbett, Peter Willemsen\n- Research collaborations between these authors: Brent Martin and Stephen B. Gilbert, Brent Martin and Kenneth R. Koedinger, Brent Martin and Antonija Mitrovic, Brent Martin and Bruce M. McLaren, Brent Martin and Stephen B. Blessing, Brent Martin and Kurt VanLehn, Kenneth R. Koedinger and Stephen B. Gilbert, Kenneth R. Koedinger and Kurt VanLehn, Kenneth R. Koedinger and Antonija Mitrovic, Kenneth R. Koedinger and Collin Lynch, Kenneth R. Koedinger and Bruce M. McLaren, Kenneth R. Koedinger and Albert T. Corbett, Kenneth R. Koedinger and Stephen B. Blessing, Kenneth R. Koedinger and Donald Treacy, Stephen B. Blessing and Stephen B. Gilbert, Stephen B. Blessing and Enruo Guo, Stephen B. Blessing and Bruce M. McLaren, Stephen B. Blessing and Kurt VanLehn, Stephen B. Blessing and Antonija Mitrovic, Stephen B. Blessing and Collin Lynch, Stephen B. Blessing and Albert T. Corbett, Stephen B. Blessing and Donald Treacy, Kurt VanLehn and Stephen B. Gilbert, Kurt VanLehn and Antonija Mitrovic, Kurt VanLehn and Collin Lynch, Kurt VanLehn and Bruce M. McLaren, Kurt VanLehn and Albert T. Corbett, Kurt VanLehn and Donald Treacy, Michael Oren and Stephen B. Gilbert, Stephen B. Gilbert and Antonija Mitrovic, Stephen B. Gilbert and Collin Lynch, Stephen B. Gilbert and Albert T. Corbett, Stephen B. Gilbert and Peter Willemsen, Stephen B. Gilbert and Donald Treacy, Stephen B. Gilbert and William B. Thompson, Stephen B. Gilbert and Enruo Guo, Stephen B. Gilbert and Bruce M. McLaren, Donald Treacy and Antonija Mitrovic, Donald Treacy and Collin Lynch, Donald Treacy and Bruce M. McLaren, Bruce M. McLaren and Antonija Mitrovic, Bruce M. McLaren and Collin Lynch, Bruce M. McLaren and Albert T. Corbett, Antonija Mitrovic and Collin Lynch, William B. Thompson and Peter Willemsen.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sven Apel, Gunter Saake, Thomas Thüm, Antonio Ruiz-Cortés, Michel A. Reniers, Andreas Classen, Patrick Heymans, Anna-Lena Lamprecht, Pierre-Yves Schobbens, Ina Schaefer, Maurice H. ter Beek, Andrzej Wasowski, Robert B. France, Christian Kästner\n- Research collaborations between these authors: Sven Apel and Patrick Heymans, Sven Apel and Gunter Saake, Sven Apel and Antonio Ruiz-Cortés, Sven Apel and Andrzej Wasowski, Sven Apel and Christian Kästner, Sven Apel and Andreas Classen, Sven Apel and Maurice H. ter Beek, Sven Apel and Ina Schaefer, Sven Apel and Pierre-Yves Schobbens, Sven Apel and Thomas Thüm, Sven Apel and Robert B. France, Sven Apel and Anna-Lena Lamprecht, Gunter Saake and Patrick Heymans, Gunter Saake and Antonio Ruiz-Cortés, Gunter Saake and Robert B. France, Gunter Saake and Andrzej Wasowski, Gunter Saake and Christian Kästner, Gunter Saake and Andreas Classen, Gunter Saake and Ina Schaefer, Gunter Saake and Pierre-Yves Schobbens, Gunter Saake and Thomas Thüm, Gunter Saake and Maurice H. ter Beek, Thomas Thüm and Patrick Heymans, Thomas Thüm and Antonio Ruiz-Cortés, Thomas Thüm and Robert B. France, Thomas Thüm and Andrzej Wasowski, Thomas Thüm and Christian Kästner, Thomas Thüm and Maurice H. ter Beek, Thomas Thüm and Ina Schaefer, Thomas Thüm and Pierre-Yves Schobbens, Thomas Thüm and Andreas Classen, Antonio Ruiz-Cortés and Patrick Heymans, Antonio Ruiz-Cortés and Andrzej Wasowski, Antonio Ruiz-Cortés and Christian Kästner, Antonio Ruiz-Cortés and Pierre-Yves Schobbens, Antonio Ruiz-Cortés and Robert B. France, Antonio Ruiz-Cortés and Andreas Classen, Antonio Ruiz-Cortés and Maurice H. ter Beek, Antonio Ruiz-Cortés and Ina Schaefer, Michel A. Reniers and Patrick Heymans, Michel A. Reniers and Andreas Classen, Michel A. Reniers and Maurice H. ter Beek, Michel A. Reniers and Pierre-Yves Schobbens, Andreas Classen and Patrick Heymans, Andreas Classen and Robert B. France, Andreas Classen and Andrzej Wasowski, Andreas Classen and Christian Kästner, Andreas Classen and Maurice H. ter Beek, Andreas Classen and Pierre-Yves Schobbens, Andreas Classen and Anna-Lena Lamprecht, Andreas Classen and Ina Schaefer, Patrick Heymans and Robert B. France, Patrick Heymans and Andrzej Wasowski, Patrick Heymans and Christian Kästner, Patrick Heymans and Maurice H. ter Beek, Patrick Heymans and Ina Schaefer, Patrick Heymans and Pierre-Yves Schobbens, Patrick Heymans and Anna-Lena Lamprecht, Anna-Lena Lamprecht and Christian Kästner, Anna-Lena Lamprecht and Maurice H. ter Beek, Anna-Lena Lamprecht and Ina Schaefer, Anna-Lena Lamprecht and Pierre-Yves Schobbens, Pierre-Yves Schobbens and Robert B. France, Pierre-Yves Schobbens and Andrzej Wasowski, Pierre-Yves Schobbens and Christian Kästner, Pierre-Yves Schobbens and Maurice H. ter Beek, Pierre-Yves Schobbens and Ina Schaefer, Ina Schaefer and Andrzej Wasowski, Ina Schaefer and Christian Kästner, Ina Schaefer and Maurice H. ter Beek, Ina Schaefer and Robert B. France, Maurice H. ter Beek and Andrzej Wasowski, Maurice H. ter Beek and Christian Kästner, Andrzej Wasowski and Robert B. France, Andrzej Wasowski and Christian Kästner, Robert B. France and Christian Kästner.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 11,
"style": "rule"
}
|
{
"exact_answer": 11,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Sven Apel\", \"id\": 2208}, {\"name\": \"Gunter Saake\", \"id\": 2209}, {\"name\": \"Thomas Th\\u00fcm\", \"id\": 139361}, {\"name\": \"Christian K\\u00e4stner\", \"id\": 42399}, {\"name\": \"Antonio Ruiz-Cort\\u00e9s\", \"id\": 3530}, {\"name\": \"Michel A. Reniers\", \"id\": 260365}, {\"name\": \"Andreas Classen\", \"id\": 58418}, {\"name\": \"Patrick Heymans\", \"id\": 723}, {\"name\": \"Anna-Lena Lamprecht\", \"id\": 71508}, {\"name\": \"Pierre-Yves Schobbens\", \"id\": 109907}, {\"name\": \"Ina Schaefer\", \"id\": 71509}, {\"name\": \"Maurice H. ter Beek\", \"id\": 61048}, {\"name\": \"Robert B. France\", \"id\": 8988}, {\"name\": \"Andrzej Wasowski\", \"id\": 38847}], \"links\": [{\"source\": 2208, \"target\": 723}, {\"source\": 2208, \"target\": 2209}, {\"source\": 2208, \"target\": 3530}, {\"source\": 2208, \"target\": 38847}, {\"source\": 2208, \"target\": 42399}, {\"source\": 2208, \"target\": 58418}, {\"source\": 2208, \"target\": 61048}, {\"source\": 2208, \"target\": 71509}, {\"source\": 2208, \"target\": 109907}, {\"source\": 2208, \"target\": 139361}, {\"source\": 2208, \"target\": 8988}, {\"source\": 2208, \"target\": 71508}, {\"source\": 2209, \"target\": 723}, {\"source\": 2209, \"target\": 3530}, {\"source\": 2209, \"target\": 8988}, {\"source\": 2209, \"target\": 38847}, {\"source\": 2209, \"target\": 42399}, {\"source\": 2209, \"target\": 58418}, {\"source\": 2209, \"target\": 71509}, {\"source\": 2209, \"target\": 109907}, {\"source\": 2209, \"target\": 139361}, {\"source\": 2209, \"target\": 61048}, {\"source\": 139361, \"target\": 723}, {\"source\": 139361, \"target\": 3530}, {\"source\": 139361, \"target\": 8988}, {\"source\": 139361, \"target\": 38847}, {\"source\": 139361, \"target\": 42399}, {\"source\": 139361, \"target\": 61048}, {\"source\": 139361, \"target\": 71509}, {\"source\": 139361, \"target\": 109907}, {\"source\": 139361, \"target\": 58418}, {\"source\": 42399, \"target\": 723}, {\"source\": 42399, \"target\": 3530}, {\"source\": 42399, \"target\": 8988}, {\"source\": 42399, \"target\": 38847}, {\"source\": 42399, \"target\": 58418}, {\"source\": 42399, \"target\": 71509}, {\"source\": 42399, \"target\": 109907}, {\"source\": 42399, \"target\": 61048}, {\"source\": 42399, \"target\": 71508}, {\"source\": 3530, \"target\": 723}, {\"source\": 3530, \"target\": 38847}, {\"source\": 3530, \"target\": 109907}, {\"source\": 3530, \"target\": 8988}, {\"source\": 3530, \"target\": 58418}, {\"source\": 3530, \"target\": 61048}, {\"source\": 3530, \"target\": 71509}, {\"source\": 260365, \"target\": 723}, {\"source\": 260365, \"target\": 58418}, {\"source\": 260365, \"target\": 61048}, {\"source\": 260365, \"target\": 109907}, {\"source\": 58418, \"target\": 723}, {\"source\": 58418, \"target\": 8988}, {\"source\": 58418, \"target\": 38847}, {\"source\": 58418, \"target\": 61048}, {\"source\": 58418, \"target\": 109907}, {\"source\": 58418, \"target\": 71508}, {\"source\": 58418, \"target\": 71509}, {\"source\": 723, \"target\": 8988}, {\"source\": 723, \"target\": 38847}, {\"source\": 723, \"target\": 61048}, {\"source\": 723, \"target\": 71509}, {\"source\": 723, \"target\": 109907}, {\"source\": 723, \"target\": 71508}, {\"source\": 71508, \"target\": 61048}, {\"source\": 71508, \"target\": 71509}, {\"source\": 71508, \"target\": 109907}, {\"source\": 109907, \"target\": 8988}, {\"source\": 109907, \"target\": 38847}, {\"source\": 109907, \"target\": 61048}, {\"source\": 109907, \"target\": 71509}, {\"source\": 71509, \"target\": 38847}, {\"source\": 71509, \"target\": 61048}, {\"source\": 71509, \"target\": 8988}, {\"source\": 61048, \"target\": 38847}, {\"source\": 8988, \"target\": 38847}]}",
"id": 2107,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sven Apel, Gunter Saake, Thomas Thüm, Antonio Ruiz-Cortés, Michel A. Reniers, Andreas Classen, Patrick Heymans, Anna-Lena Lamprecht, Pierre-Yves Schobbens, Ina Schaefer, Maurice H. ter Beek, Andrzej Wasowski, Robert B. France, Christian Kästner\n- Research collaborations between these authors: Sven Apel and Patrick Heymans, Sven Apel and Gunter Saake, Sven Apel and Antonio Ruiz-Cortés, Sven Apel and Andrzej Wasowski, Sven Apel and Christian Kästner, Sven Apel and Andreas Classen, Sven Apel and Maurice H. ter Beek, Sven Apel and Ina Schaefer, Sven Apel and Pierre-Yves Schobbens, Sven Apel and Thomas Thüm, Sven Apel and Robert B. France, Sven Apel and Anna-Lena Lamprecht, Gunter Saake and Patrick Heymans, Gunter Saake and Antonio Ruiz-Cortés, Gunter Saake and Robert B. France, Gunter Saake and Andrzej Wasowski, Gunter Saake and Christian Kästner, Gunter Saake and Andreas Classen, Gunter Saake and Ina Schaefer, Gunter Saake and Pierre-Yves Schobbens, Gunter Saake and Thomas Thüm, Gunter Saake and Maurice H. ter Beek, Thomas Thüm and Patrick Heymans, Thomas Thüm and Antonio Ruiz-Cortés, Thomas Thüm and Robert B. France, Thomas Thüm and Andrzej Wasowski, Thomas Thüm and Christian Kästner, Thomas Thüm and Maurice H. ter Beek, Thomas Thüm and Ina Schaefer, Thomas Thüm and Pierre-Yves Schobbens, Thomas Thüm and Andreas Classen, Antonio Ruiz-Cortés and Patrick Heymans, Antonio Ruiz-Cortés and Andrzej Wasowski, Antonio Ruiz-Cortés and Christian Kästner, Antonio Ruiz-Cortés and Pierre-Yves Schobbens, Antonio Ruiz-Cortés and Robert B. France, Antonio Ruiz-Cortés and Andreas Classen, Antonio Ruiz-Cortés and Maurice H. ter Beek, Antonio Ruiz-Cortés and Ina Schaefer, Michel A. Reniers and Patrick Heymans, Michel A. Reniers and Andreas Classen, Michel A. Reniers and Maurice H. ter Beek, Michel A. Reniers and Pierre-Yves Schobbens, Andreas Classen and Patrick Heymans, Andreas Classen and Robert B. France, Andreas Classen and Andrzej Wasowski, Andreas Classen and Christian Kästner, Andreas Classen and Maurice H. ter Beek, Andreas Classen and Pierre-Yves Schobbens, Andreas Classen and Anna-Lena Lamprecht, Andreas Classen and Ina Schaefer, Patrick Heymans and Robert B. France, Patrick Heymans and Andrzej Wasowski, Patrick Heymans and Christian Kästner, Patrick Heymans and Maurice H. ter Beek, Patrick Heymans and Ina Schaefer, Patrick Heymans and Pierre-Yves Schobbens, Patrick Heymans and Anna-Lena Lamprecht, Anna-Lena Lamprecht and Christian Kästner, Anna-Lena Lamprecht and Maurice H. ter Beek, Anna-Lena Lamprecht and Ina Schaefer, Anna-Lena Lamprecht and Pierre-Yves Schobbens, Pierre-Yves Schobbens and Robert B. France, Pierre-Yves Schobbens and Andrzej Wasowski, Pierre-Yves Schobbens and Christian Kästner, Pierre-Yves Schobbens and Maurice H. ter Beek, Pierre-Yves Schobbens and Ina Schaefer, Ina Schaefer and Andrzej Wasowski, Ina Schaefer and Christian Kästner, Ina Schaefer and Maurice H. ter Beek, Ina Schaefer and Robert B. France, Maurice H. ter Beek and Andrzej Wasowski, Maurice H. ter Beek and Christian Kästner, Andrzej Wasowski and Robert B. France, Andrzej Wasowski and Christian Kästner, Robert B. France and Christian Kästner.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xuxian Jiang, Yih Huang, Samuel T. King, Kun Sun, Boris Dragovic, Paul Barham, Ian Pratt, Angelos Stavrou, Angelos D. Keromytis, Hamed Okhravi, Anup K. Ghosh, Alex Ho, Dan Boneh, Fengwei Zhang\n- Research collaborations between these authors: Xuxian Jiang and Kun Sun, Xuxian Jiang and Anup K. Ghosh, Xuxian Jiang and Samuel T. King, Xuxian Jiang and Paul Barham, Xuxian Jiang and Dan Boneh, Xuxian Jiang and Angelos D. Keromytis, Xuxian Jiang and Ian Pratt, Xuxian Jiang and Alex Ho, Xuxian Jiang and Boris Dragovic, Xuxian Jiang and Angelos Stavrou, Xuxian Jiang and Hamed Okhravi, Xuxian Jiang and Fengwei Zhang, Yih Huang and Anup K. Ghosh, Yih Huang and Paul Barham, Yih Huang and Dan Boneh, Yih Huang and Angelos D. Keromytis, Yih Huang and Ian Pratt, Yih Huang and Alex Ho, Yih Huang and Boris Dragovic, Yih Huang and Hamed Okhravi, Samuel T. King and Kun Sun, Samuel T. King and Anup K. Ghosh, Samuel T. King and Angelos Stavrou, Samuel T. King and Dan Boneh, Samuel T. King and Angelos D. Keromytis, Kun Sun and Anup K. Ghosh, Kun Sun and Angelos Stavrou, Kun Sun and Dan Boneh, Kun Sun and Angelos D. Keromytis, Kun Sun and Ian Pratt, Kun Sun and Fengwei Zhang, Boris Dragovic and Anup K. Ghosh, Boris Dragovic and Angelos Stavrou, Paul Barham and Anup K. Ghosh, Paul Barham and Angelos Stavrou, Paul Barham and Angelos D. Keromytis, Paul Barham and Ian Pratt, Paul Barham and Alex Ho, Ian Pratt and Anup K. Ghosh, Ian Pratt and Angelos Stavrou, Ian Pratt and Alex Ho, Angelos Stavrou and Anup K. Ghosh, Angelos Stavrou and Dan Boneh, Angelos Stavrou and Angelos D. Keromytis, Angelos Stavrou and Alex Ho, Angelos Stavrou and Fengwei Zhang, Angelos D. Keromytis and Anup K. Ghosh, Angelos D. Keromytis and Dan Boneh, Angelos D. Keromytis and Alex Ho, Angelos D. Keromytis and Hamed Okhravi, Hamed Okhravi and Anup K. Ghosh, Hamed Okhravi and Dan Boneh, Anup K. Ghosh and Dan Boneh, Anup K. Ghosh and Alex Ho, Anup K. Ghosh and Fengwei Zhang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Xuxian Jiang\", \"id\": 32448}, {\"name\": \"Yih Huang\", \"id\": 104609}, {\"name\": \"Samuel T. King\", \"id\": 54792}, {\"name\": \"Kun Sun\", \"id\": 3817}, {\"name\": \"Boris Dragovic\", \"id\": 296170}, {\"name\": \"Paul Barham\", \"id\": 55721}, {\"name\": \"Angelos Stavrou\", \"id\": 32719}, {\"name\": \"Angelos D. Keromytis\", \"id\": 72784}, {\"name\": \"Hamed Okhravi\", \"id\": 121615}, {\"name\": \"Fengwei Zhang\", \"id\": 310008}, {\"name\": \"Anup K. Ghosh\", \"id\": 31156}, {\"name\": \"Alex Ho\", \"id\": 278357}, {\"name\": \"Dan Boneh\", \"id\": 60694}, {\"name\": \"Ian Pratt\", \"id\": 141912}], \"links\": [{\"source\": 32448, \"target\": 3817}, {\"source\": 32448, \"target\": 31156}, {\"source\": 32448, \"target\": 54792}, {\"source\": 32448, \"target\": 55721}, {\"source\": 32448, \"target\": 60694}, {\"source\": 32448, \"target\": 72784}, {\"source\": 32448, \"target\": 141912}, {\"source\": 32448, \"target\": 278357}, {\"source\": 32448, \"target\": 296170}, {\"source\": 32448, \"target\": 32719}, {\"source\": 32448, \"target\": 121615}, {\"source\": 32448, \"target\": 310008}, {\"source\": 104609, \"target\": 31156}, {\"source\": 104609, \"target\": 55721}, {\"source\": 104609, \"target\": 60694}, {\"source\": 104609, \"target\": 72784}, {\"source\": 104609, \"target\": 141912}, {\"source\": 104609, \"target\": 278357}, {\"source\": 104609, \"target\": 296170}, {\"source\": 104609, \"target\": 121615}, {\"source\": 54792, \"target\": 3817}, {\"source\": 54792, \"target\": 31156}, {\"source\": 54792, \"target\": 32719}, {\"source\": 54792, \"target\": 60694}, {\"source\": 54792, \"target\": 72784}, {\"source\": 3817, \"target\": 31156}, {\"source\": 3817, \"target\": 32719}, {\"source\": 3817, \"target\": 60694}, {\"source\": 3817, \"target\": 72784}, {\"source\": 3817, \"target\": 141912}, {\"source\": 3817, \"target\": 310008}, {\"source\": 296170, \"target\": 31156}, {\"source\": 296170, \"target\": 32719}, {\"source\": 55721, \"target\": 31156}, {\"source\": 55721, \"target\": 32719}, {\"source\": 55721, \"target\": 72784}, {\"source\": 55721, \"target\": 141912}, {\"source\": 55721, \"target\": 278357}, {\"source\": 32719, \"target\": 31156}, {\"source\": 32719, \"target\": 60694}, {\"source\": 32719, \"target\": 72784}, {\"source\": 32719, \"target\": 141912}, {\"source\": 32719, \"target\": 278357}, {\"source\": 32719, \"target\": 310008}, {\"source\": 72784, \"target\": 31156}, {\"source\": 72784, \"target\": 60694}, {\"source\": 72784, \"target\": 278357}, {\"source\": 72784, \"target\": 121615}, {\"source\": 121615, \"target\": 31156}, {\"source\": 121615, \"target\": 60694}, {\"source\": 310008, \"target\": 31156}, {\"source\": 31156, \"target\": 60694}, {\"source\": 31156, \"target\": 141912}, {\"source\": 31156, \"target\": 278357}, {\"source\": 278357, \"target\": 141912}]}",
"id": 1744,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Xuxian Jiang, Yih Huang, Samuel T. King, Kun Sun, Boris Dragovic, Paul Barham, Ian Pratt, Angelos Stavrou, Angelos D. Keromytis, Hamed Okhravi, Anup K. Ghosh, Alex Ho, Dan Boneh, Fengwei Zhang\n- Research collaborations between these authors: Xuxian Jiang and Kun Sun, Xuxian Jiang and Anup K. Ghosh, Xuxian Jiang and Samuel T. King, Xuxian Jiang and Paul Barham, Xuxian Jiang and Dan Boneh, Xuxian Jiang and Angelos D. Keromytis, Xuxian Jiang and Ian Pratt, Xuxian Jiang and Alex Ho, Xuxian Jiang and Boris Dragovic, Xuxian Jiang and Angelos Stavrou, Xuxian Jiang and Hamed Okhravi, Xuxian Jiang and Fengwei Zhang, Yih Huang and Anup K. Ghosh, Yih Huang and Paul Barham, Yih Huang and Dan Boneh, Yih Huang and Angelos D. Keromytis, Yih Huang and Ian Pratt, Yih Huang and Alex Ho, Yih Huang and Boris Dragovic, Yih Huang and Hamed Okhravi, Samuel T. King and Kun Sun, Samuel T. King and Anup K. Ghosh, Samuel T. King and Angelos Stavrou, Samuel T. King and Dan Boneh, Samuel T. King and Angelos D. Keromytis, Kun Sun and Anup K. Ghosh, Kun Sun and Angelos Stavrou, Kun Sun and Dan Boneh, Kun Sun and Angelos D. Keromytis, Kun Sun and Ian Pratt, Kun Sun and Fengwei Zhang, Boris Dragovic and Anup K. Ghosh, Boris Dragovic and Angelos Stavrou, Paul Barham and Anup K. Ghosh, Paul Barham and Angelos Stavrou, Paul Barham and Angelos D. Keromytis, Paul Barham and Ian Pratt, Paul Barham and Alex Ho, Ian Pratt and Anup K. Ghosh, Ian Pratt and Angelos Stavrou, Ian Pratt and Alex Ho, Angelos Stavrou and Anup K. Ghosh, Angelos Stavrou and Dan Boneh, Angelos Stavrou and Angelos D. Keromytis, Angelos Stavrou and Alex Ho, Angelos Stavrou and Fengwei Zhang, Angelos D. Keromytis and Anup K. Ghosh, Angelos D. Keromytis and Dan Boneh, Angelos D. Keromytis and Alex Ho, Angelos D. Keromytis and Hamed Okhravi, Hamed Okhravi and Anup K. Ghosh, Hamed Okhravi and Dan Boneh, Anup K. Ghosh and Dan Boneh, Anup K. Ghosh and Alex Ho, Anup K. Ghosh and Fengwei Zhang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Taeho Kgil, Jun Yang, Norman P. Jouppi, Milos Prvulovic, Gabriel H. Loh, Yuan Xie, Bharan Giridhar, Bill Lin, Guangyu Sun, Siddhartha Chhabra, Michael M. Swift, David Roberts, Xiangyu Dong, Edwin Hsing-Mean Sha\n- Research collaborations between these authors: Taeho Kgil and Michael M. Swift, Taeho Kgil and Edwin Hsing-Mean Sha, Taeho Kgil and Jun Yang, Taeho Kgil and Gabriel H. Loh, Taeho Kgil and Yuan Xie, Taeho Kgil and Guangyu Sun, Taeho Kgil and Siddhartha Chhabra, Taeho Kgil and Milos Prvulovic, Taeho Kgil and Bill Lin, Taeho Kgil and David Roberts, Taeho Kgil and Norman P. Jouppi, Taeho Kgil and Xiangyu Dong, Taeho Kgil and Bharan Giridhar, Jun Yang and Edwin Hsing-Mean Sha, Jun Yang and Michael M. Swift, Jun Yang and Gabriel H. Loh, Jun Yang and Yuan Xie, Jun Yang and Guangyu Sun, Jun Yang and Norman P. Jouppi, Jun Yang and Xiangyu Dong, Jun Yang and Siddhartha Chhabra, Jun Yang and Milos Prvulovic, Norman P. Jouppi and Edwin Hsing-Mean Sha, Norman P. Jouppi and Gabriel H. Loh, Norman P. Jouppi and Yuan Xie, Norman P. Jouppi and Guangyu Sun, Norman P. Jouppi and Xiangyu Dong, Norman P. Jouppi and Bharan Giridhar, Milos Prvulovic and Siddhartha Chhabra, Gabriel H. Loh and Michael M. Swift, Gabriel H. Loh and Yuan Xie, Gabriel H. Loh and Guangyu Sun, Gabriel H. Loh and Xiangyu Dong, Gabriel H. Loh and Bharan Giridhar, Yuan Xie and Edwin Hsing-Mean Sha, Yuan Xie and Michael M. Swift, Yuan Xie and Guangyu Sun, Yuan Xie and Xiangyu Dong, Yuan Xie and Bill Lin, Guangyu Sun and Edwin Hsing-Mean Sha, Guangyu Sun and Xiangyu Dong, David Roberts and Edwin Hsing-Mean Sha, Xiangyu Dong and Edwin Hsing-Mean Sha.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Taeho Kgil\", \"id\": 610561}, {\"name\": \"Norman P. Jouppi\", \"id\": 516805}, {\"name\": \"Jun Yang\", \"id\": 30085}, {\"name\": \"Milos Prvulovic\", \"id\": 367080}, {\"name\": \"Gabriel H. Loh\", \"id\": 35337}, {\"name\": \"Yuan Xie\", \"id\": 210475}, {\"name\": \"Bill Lin\", \"id\": 390061}, {\"name\": \"Guangyu Sun\", \"id\": 259277}, {\"name\": \"Siddhartha Chhabra\", \"id\": 270030}, {\"name\": \"Michael M. Swift\", \"id\": 27280}, {\"name\": \"Xiangyu Dong\", \"id\": 520285}, {\"name\": \"David Roberts\", \"id\": 436538}, {\"name\": \"Bharan Giridhar\", \"id\": 616285}, {\"name\": \"Edwin Hsing-Mean Sha\", \"id\": 29599}], \"links\": [{\"source\": 610561, \"target\": 27280}, {\"source\": 610561, \"target\": 29599}, {\"source\": 610561, \"target\": 30085}, {\"source\": 610561, \"target\": 35337}, {\"source\": 610561, \"target\": 210475}, {\"source\": 610561, \"target\": 259277}, {\"source\": 610561, \"target\": 270030}, {\"source\": 610561, \"target\": 367080}, {\"source\": 610561, \"target\": 390061}, {\"source\": 610561, \"target\": 436538}, {\"source\": 610561, \"target\": 516805}, {\"source\": 610561, \"target\": 520285}, {\"source\": 610561, \"target\": 616285}, {\"source\": 516805, \"target\": 29599}, {\"source\": 516805, \"target\": 30085}, {\"source\": 516805, \"target\": 35337}, {\"source\": 516805, \"target\": 210475}, {\"source\": 516805, \"target\": 259277}, {\"source\": 516805, \"target\": 520285}, {\"source\": 516805, \"target\": 616285}, {\"source\": 30085, \"target\": 29599}, {\"source\": 30085, \"target\": 27280}, {\"source\": 30085, \"target\": 35337}, {\"source\": 30085, \"target\": 210475}, {\"source\": 30085, \"target\": 259277}, {\"source\": 30085, \"target\": 520285}, {\"source\": 30085, \"target\": 270030}, {\"source\": 30085, \"target\": 367080}, {\"source\": 367080, \"target\": 270030}, {\"source\": 35337, \"target\": 27280}, {\"source\": 35337, \"target\": 210475}, {\"source\": 35337, \"target\": 259277}, {\"source\": 35337, \"target\": 520285}, {\"source\": 35337, \"target\": 616285}, {\"source\": 210475, \"target\": 29599}, {\"source\": 210475, \"target\": 27280}, {\"source\": 210475, \"target\": 259277}, {\"source\": 210475, \"target\": 520285}, {\"source\": 210475, \"target\": 390061}, {\"source\": 259277, \"target\": 29599}, {\"source\": 259277, \"target\": 520285}, {\"source\": 520285, \"target\": 29599}, {\"source\": 436538, \"target\": 29599}]}",
"id": 672,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Taeho Kgil, Jun Yang, Norman P. Jouppi, Milos Prvulovic, Gabriel H. Loh, Yuan Xie, Bharan Giridhar, Bill Lin, Guangyu Sun, Siddhartha Chhabra, Michael M. Swift, David Roberts, Xiangyu Dong, Edwin Hsing-Mean Sha\n- Research collaborations between these authors: Taeho Kgil and Michael M. Swift, Taeho Kgil and Edwin Hsing-Mean Sha, Taeho Kgil and Jun Yang, Taeho Kgil and Gabriel H. Loh, Taeho Kgil and Yuan Xie, Taeho Kgil and Guangyu Sun, Taeho Kgil and Siddhartha Chhabra, Taeho Kgil and Milos Prvulovic, Taeho Kgil and Bill Lin, Taeho Kgil and David Roberts, Taeho Kgil and Norman P. Jouppi, Taeho Kgil and Xiangyu Dong, Taeho Kgil and Bharan Giridhar, Jun Yang and Edwin Hsing-Mean Sha, Jun Yang and Michael M. Swift, Jun Yang and Gabriel H. Loh, Jun Yang and Yuan Xie, Jun Yang and Guangyu Sun, Jun Yang and Norman P. Jouppi, Jun Yang and Xiangyu Dong, Jun Yang and Siddhartha Chhabra, Jun Yang and Milos Prvulovic, Norman P. Jouppi and Edwin Hsing-Mean Sha, Norman P. Jouppi and Gabriel H. Loh, Norman P. Jouppi and Yuan Xie, Norman P. Jouppi and Guangyu Sun, Norman P. Jouppi and Xiangyu Dong, Norman P. Jouppi and Bharan Giridhar, Milos Prvulovic and Siddhartha Chhabra, Gabriel H. Loh and Michael M. Swift, Gabriel H. Loh and Yuan Xie, Gabriel H. Loh and Guangyu Sun, Gabriel H. Loh and Xiangyu Dong, Gabriel H. Loh and Bharan Giridhar, Yuan Xie and Edwin Hsing-Mean Sha, Yuan Xie and Michael M. Swift, Yuan Xie and Guangyu Sun, Yuan Xie and Xiangyu Dong, Yuan Xie and Bill Lin, Guangyu Sun and Edwin Hsing-Mean Sha, Guangyu Sun and Xiangyu Dong, David Roberts and Edwin Hsing-Mean Sha, Xiangyu Dong and Edwin Hsing-Mean Sha.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Avishai Mandelbaum, Francis de Véricourt, J. Michael Harrison, Assaf Zeevi, Noah Gans, Zizhuo Wang, Itay Gurvich, Amy R. Ward, Aleksandrs Slivkins, Robert Kleinberg, Tolga Tezcan, Mor Armony, Achal Bassamboo, Tito Homem-de-Mello\n- Research collaborations between these authors: Avishai Mandelbaum and Francis de Véricourt, Avishai Mandelbaum and Tolga Tezcan, Avishai Mandelbaum and Mor Armony, Avishai Mandelbaum and Achal Bassamboo, Avishai Mandelbaum and Assaf Zeevi, Avishai Mandelbaum and J. Michael Harrison, Avishai Mandelbaum and Amy R. Ward, Avishai Mandelbaum and Noah Gans, Avishai Mandelbaum and Itay Gurvich, Francis de Véricourt and Assaf Zeevi, Francis de Véricourt and J. Michael Harrison, Francis de Véricourt and Noah Gans, Francis de Véricourt and Amy R. Ward, J. Michael Harrison and Tolga Tezcan, J. Michael Harrison and Mor Armony, J. Michael Harrison and Achal Bassamboo, J. Michael Harrison and Assaf Zeevi, J. Michael Harrison and Amy R. Ward, J. Michael Harrison and Noah Gans, J. Michael Harrison and Itay Gurvich, Assaf Zeevi and Robert Kleinberg, Assaf Zeevi and Aleksandrs Slivkins, Assaf Zeevi and Tolga Tezcan, Assaf Zeevi and Tito Homem-de-Mello, Assaf Zeevi and Zizhuo Wang, Assaf Zeevi and Mor Armony, Assaf Zeevi and Achal Bassamboo, Assaf Zeevi and Noah Gans, Assaf Zeevi and Amy R. Ward, Assaf Zeevi and Itay Gurvich, Noah Gans and Tolga Tezcan, Noah Gans and Mor Armony, Noah Gans and Achal Bassamboo, Noah Gans and Amy R. Ward, Zizhuo Wang and Robert Kleinberg, Itay Gurvich and Tolga Tezcan, Itay Gurvich and Mor Armony, Itay Gurvich and Amy R. Ward, Amy R. Ward and Mor Armony, Amy R. Ward and Tolga Tezcan, Aleksandrs Slivkins and Robert Kleinberg, Tolga Tezcan and Mor Armony, Tolga Tezcan and Achal Bassamboo, Mor Armony and Achal Bassamboo.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Avishai Mandelbaum\", \"id\": 39296}, {\"name\": \"Francis de V\\u00e9ricourt\", \"id\": 104035}, {\"name\": \"J. Michael Harrison\", \"id\": 380135}, {\"name\": \"Assaf Zeevi\", \"id\": 334154}, {\"name\": \"Noah Gans\", \"id\": 440494}, {\"name\": \"Zizhuo Wang\", \"id\": 238834}, {\"name\": \"Itay Gurvich\", \"id\": 916211}, {\"name\": \"Amy R. Ward\", \"id\": 382099}, {\"name\": \"Aleksandrs Slivkins\", \"id\": 105272}, {\"name\": \"Robert Kleinberg\", \"id\": 56697}, {\"name\": \"Tolga Tezcan\", \"id\": 136444}, {\"name\": \"Mor Armony\", \"id\": 275005}, {\"name\": \"Achal Bassamboo\", \"id\": 313438}, {\"name\": \"Tito Homem-de-Mello\", \"id\": 185759}], \"links\": [{\"source\": 39296, \"target\": 104035}, {\"source\": 39296, \"target\": 136444}, {\"source\": 39296, \"target\": 275005}, {\"source\": 39296, \"target\": 313438}, {\"source\": 39296, \"target\": 334154}, {\"source\": 39296, \"target\": 380135}, {\"source\": 39296, \"target\": 382099}, {\"source\": 39296, \"target\": 440494}, {\"source\": 39296, \"target\": 916211}, {\"source\": 104035, \"target\": 334154}, {\"source\": 104035, \"target\": 380135}, {\"source\": 104035, \"target\": 440494}, {\"source\": 104035, \"target\": 382099}, {\"source\": 380135, \"target\": 136444}, {\"source\": 380135, \"target\": 275005}, {\"source\": 380135, \"target\": 313438}, {\"source\": 380135, \"target\": 334154}, {\"source\": 380135, \"target\": 382099}, {\"source\": 380135, \"target\": 440494}, {\"source\": 380135, \"target\": 916211}, {\"source\": 334154, \"target\": 56697}, {\"source\": 334154, \"target\": 105272}, {\"source\": 334154, \"target\": 136444}, {\"source\": 334154, \"target\": 185759}, {\"source\": 334154, \"target\": 238834}, {\"source\": 334154, \"target\": 275005}, {\"source\": 334154, \"target\": 313438}, {\"source\": 334154, \"target\": 440494}, {\"source\": 334154, \"target\": 382099}, {\"source\": 334154, \"target\": 916211}, {\"source\": 440494, \"target\": 136444}, {\"source\": 440494, \"target\": 275005}, {\"source\": 440494, \"target\": 313438}, {\"source\": 440494, \"target\": 382099}, {\"source\": 238834, \"target\": 56697}, {\"source\": 916211, \"target\": 136444}, {\"source\": 916211, \"target\": 275005}, {\"source\": 916211, \"target\": 382099}, {\"source\": 382099, \"target\": 275005}, {\"source\": 382099, \"target\": 136444}, {\"source\": 105272, \"target\": 56697}, {\"source\": 136444, \"target\": 275005}, {\"source\": 136444, \"target\": 313438}, {\"source\": 275005, \"target\": 313438}]}",
"id": 1745,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Avishai Mandelbaum, Francis de Véricourt, J. Michael Harrison, Assaf Zeevi, Noah Gans, Zizhuo Wang, Itay Gurvich, Amy R. Ward, Aleksandrs Slivkins, Robert Kleinberg, Tolga Tezcan, Mor Armony, Achal Bassamboo, Tito Homem-de-Mello\n- Research collaborations between these authors: Avishai Mandelbaum and Francis de Véricourt, Avishai Mandelbaum and Tolga Tezcan, Avishai Mandelbaum and Mor Armony, Avishai Mandelbaum and Achal Bassamboo, Avishai Mandelbaum and Assaf Zeevi, Avishai Mandelbaum and J. Michael Harrison, Avishai Mandelbaum and Amy R. Ward, Avishai Mandelbaum and Noah Gans, Avishai Mandelbaum and Itay Gurvich, Francis de Véricourt and Assaf Zeevi, Francis de Véricourt and J. Michael Harrison, Francis de Véricourt and Noah Gans, Francis de Véricourt and Amy R. Ward, J. Michael Harrison and Tolga Tezcan, J. Michael Harrison and Mor Armony, J. Michael Harrison and Achal Bassamboo, J. Michael Harrison and Assaf Zeevi, J. Michael Harrison and Amy R. Ward, J. Michael Harrison and Noah Gans, J. Michael Harrison and Itay Gurvich, Assaf Zeevi and Robert Kleinberg, Assaf Zeevi and Aleksandrs Slivkins, Assaf Zeevi and Tolga Tezcan, Assaf Zeevi and Tito Homem-de-Mello, Assaf Zeevi and Zizhuo Wang, Assaf Zeevi and Mor Armony, Assaf Zeevi and Achal Bassamboo, Assaf Zeevi and Noah Gans, Assaf Zeevi and Amy R. Ward, Assaf Zeevi and Itay Gurvich, Noah Gans and Tolga Tezcan, Noah Gans and Mor Armony, Noah Gans and Achal Bassamboo, Noah Gans and Amy R. Ward, Zizhuo Wang and Robert Kleinberg, Itay Gurvich and Tolga Tezcan, Itay Gurvich and Mor Armony, Itay Gurvich and Amy R. Ward, Amy R. Ward and Mor Armony, Amy R. Ward and Tolga Tezcan, Aleksandrs Slivkins and Robert Kleinberg, Tolga Tezcan and Mor Armony, Tolga Tezcan and Achal Bassamboo, Mor Armony and Achal Bassamboo.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hossein Falaki, Xiaohang Wang, Deborah Estrin, Francesco Paterna, Anup Das, Ramesh Govindan, Srikanth Kandula, Liang Wang, David Blaauw, Pietro Mercati, Andrea Bartolini, Mohsen Imani, Dimitrios Lymberopoulos, Luca Benini\n- Research collaborations between these authors: Hossein Falaki and Luca Benini, Hossein Falaki and Deborah Estrin, Hossein Falaki and Pietro Mercati, Xiaohang Wang and Liang Wang, Xiaohang Wang and Andrea Bartolini, Xiaohang Wang and Luca Benini, Xiaohang Wang and Anup Das, Xiaohang Wang and Francesco Paterna, Xiaohang Wang and Pietro Mercati, Deborah Estrin and Luca Benini, Deborah Estrin and Ramesh Govindan, Deborah Estrin and Dimitrios Lymberopoulos, Deborah Estrin and Pietro Mercati, Francesco Paterna and Andrea Bartolini, Francesco Paterna and Luca Benini, Francesco Paterna and Liang Wang, Francesco Paterna and Anup Das, Francesco Paterna and David Blaauw, Francesco Paterna and Pietro Mercati, Anup Das and Andrea Bartolini, Anup Das and Luca Benini, Anup Das and Pietro Mercati, Ramesh Govindan and Srikanth Kandula, Ramesh Govindan and Luca Benini, Ramesh Govindan and Dimitrios Lymberopoulos, Ramesh Govindan and Pietro Mercati, Srikanth Kandula and Luca Benini, Srikanth Kandula and Dimitrios Lymberopoulos, Srikanth Kandula and Pietro Mercati, Liang Wang and Andrea Bartolini, Liang Wang and Luca Benini, Liang Wang and Pietro Mercati, David Blaauw and Andrea Bartolini, David Blaauw and Luca Benini, David Blaauw and Pietro Mercati, Pietro Mercati and Andrea Bartolini, Pietro Mercati and Luca Benini, Pietro Mercati and Dimitrios Lymberopoulos, Pietro Mercati and Mohsen Imani, Andrea Bartolini and Luca Benini, Mohsen Imani and Luca Benini, Dimitrios Lymberopoulos and Luca Benini.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Xiaohang Wang\", \"id\": 380770}, {\"name\": \"Deborah Estrin\", \"id\": 52260}, {\"name\": \"Francesco Paterna\", \"id\": 524422}, {\"name\": \"Anup Das\", \"id\": 110344}, {\"name\": \"Ramesh Govindan\", \"id\": 52940}, {\"name\": \"Liang Wang\", \"id\": 25875}, {\"name\": \"David Blaauw\", \"id\": 223028}, {\"name\": \"Hossein Falaki\", \"id\": 560535}, {\"name\": \"Pietro Mercati\", \"id\": 592055}, {\"name\": \"Srikanth Kandula\", \"id\": 15802}, {\"name\": \"Andrea Bartolini\", \"id\": 16154}, {\"name\": \"Mohsen Imani\", \"id\": 821117}, {\"name\": \"Dimitrios Lymberopoulos\", \"id\": 148286}, {\"name\": \"Luca Benini\", \"id\": 16159}], \"links\": [{\"source\": 380770, \"target\": 25875}, {\"source\": 380770, \"target\": 16154}, {\"source\": 380770, \"target\": 16159}, {\"source\": 380770, \"target\": 110344}, {\"source\": 380770, \"target\": 524422}, {\"source\": 380770, \"target\": 592055}, {\"source\": 52260, \"target\": 16159}, {\"source\": 52260, \"target\": 52940}, {\"source\": 52260, \"target\": 148286}, {\"source\": 52260, \"target\": 560535}, {\"source\": 52260, \"target\": 592055}, {\"source\": 524422, \"target\": 16154}, {\"source\": 524422, \"target\": 16159}, {\"source\": 524422, \"target\": 25875}, {\"source\": 524422, \"target\": 110344}, {\"source\": 524422, \"target\": 223028}, {\"source\": 524422, \"target\": 592055}, {\"source\": 110344, \"target\": 16154}, {\"source\": 110344, \"target\": 16159}, {\"source\": 110344, \"target\": 592055}, {\"source\": 52940, \"target\": 15802}, {\"source\": 52940, \"target\": 16159}, {\"source\": 52940, \"target\": 148286}, {\"source\": 52940, \"target\": 592055}, {\"source\": 25875, \"target\": 16154}, {\"source\": 25875, \"target\": 16159}, {\"source\": 25875, \"target\": 592055}, {\"source\": 223028, \"target\": 16154}, {\"source\": 223028, \"target\": 16159}, {\"source\": 223028, \"target\": 592055}, {\"source\": 560535, \"target\": 16159}, {\"source\": 560535, \"target\": 592055}, {\"source\": 592055, \"target\": 16154}, {\"source\": 592055, \"target\": 16159}, {\"source\": 592055, \"target\": 15802}, {\"source\": 592055, \"target\": 148286}, {\"source\": 592055, \"target\": 821117}, {\"source\": 15802, \"target\": 16159}, {\"source\": 15802, \"target\": 148286}, {\"source\": 16154, \"target\": 16159}, {\"source\": 821117, \"target\": 16159}, {\"source\": 148286, \"target\": 16159}]}",
"id": 1381,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hossein Falaki, Xiaohang Wang, Deborah Estrin, Francesco Paterna, Anup Das, Ramesh Govindan, Srikanth Kandula, Liang Wang, David Blaauw, Pietro Mercati, Andrea Bartolini, Mohsen Imani, Dimitrios Lymberopoulos, Luca Benini\n- Research collaborations between these authors: Hossein Falaki and Luca Benini, Hossein Falaki and Deborah Estrin, Hossein Falaki and Pietro Mercati, Xiaohang Wang and Liang Wang, Xiaohang Wang and Andrea Bartolini, Xiaohang Wang and Luca Benini, Xiaohang Wang and Anup Das, Xiaohang Wang and Francesco Paterna, Xiaohang Wang and Pietro Mercati, Deborah Estrin and Luca Benini, Deborah Estrin and Ramesh Govindan, Deborah Estrin and Dimitrios Lymberopoulos, Deborah Estrin and Pietro Mercati, Francesco Paterna and Andrea Bartolini, Francesco Paterna and Luca Benini, Francesco Paterna and Liang Wang, Francesco Paterna and Anup Das, Francesco Paterna and David Blaauw, Francesco Paterna and Pietro Mercati, Anup Das and Andrea Bartolini, Anup Das and Luca Benini, Anup Das and Pietro Mercati, Ramesh Govindan and Srikanth Kandula, Ramesh Govindan and Luca Benini, Ramesh Govindan and Dimitrios Lymberopoulos, Ramesh Govindan and Pietro Mercati, Srikanth Kandula and Luca Benini, Srikanth Kandula and Dimitrios Lymberopoulos, Srikanth Kandula and Pietro Mercati, Liang Wang and Andrea Bartolini, Liang Wang and Luca Benini, Liang Wang and Pietro Mercati, David Blaauw and Andrea Bartolini, David Blaauw and Luca Benini, David Blaauw and Pietro Mercati, Pietro Mercati and Andrea Bartolini, Pietro Mercati and Luca Benini, Pietro Mercati and Dimitrios Lymberopoulos, Pietro Mercati and Mohsen Imani, Andrea Bartolini and Luca Benini, Mohsen Imani and Luca Benini, Dimitrios Lymberopoulos and Luca Benini.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Georg Arbeiter, Tomohiro Suzuki, Kerstin Dautenhahn, Jaeryoung Lee, Florian Weisshardt, Elena Laudanna, Gert-Jan Gelderblom, Gernot Kronreif, Ester Ferrari, Goro Obinata, Alexander Bubeck, Septimiu E. Salcudean, Martin Hägele, Takayuki Kanda\n- Research collaborations between these authors: Georg Arbeiter and Florian Weisshardt, Georg Arbeiter and Kerstin Dautenhahn, Georg Arbeiter and Martin Hägele, Georg Arbeiter and Alexander Bubeck, Tomohiro Suzuki and Takayuki Kanda, Tomohiro Suzuki and Kerstin Dautenhahn, Tomohiro Suzuki and Jaeryoung Lee, Kerstin Dautenhahn and Takayuki Kanda, Kerstin Dautenhahn and Ester Ferrari, Kerstin Dautenhahn and Elena Laudanna, Kerstin Dautenhahn and Goro Obinata, Kerstin Dautenhahn and Jaeryoung Lee, Jaeryoung Lee and Goro Obinata, Jaeryoung Lee and Takayuki Kanda, Jaeryoung Lee and Gernot Kronreif, Jaeryoung Lee and Elena Laudanna, Jaeryoung Lee and Ester Ferrari, Jaeryoung Lee and Gert-Jan Gelderblom, Florian Weisshardt and Martin Hägele, Florian Weisshardt and Alexander Bubeck, Florian Weisshardt and Gernot Kronreif, Gernot Kronreif and Septimiu E. Salcudean, Ester Ferrari and Goro Obinata, Alexander Bubeck and Martin Hägele.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Georg Arbeiter\", \"id\": 39040}, {\"name\": \"Goro Obinata\", \"id\": 315831}, {\"name\": \"Kerstin Dautenhahn\", \"id\": 116802}, {\"name\": \"Jaeryoung Lee\", \"id\": 572963}, {\"name\": \"Florian Weisshardt\", \"id\": 39043}, {\"name\": \"Elena Laudanna\", \"id\": 222439}, {\"name\": \"Gert-Jan Gelderblom\", \"id\": 947655}, {\"name\": \"Gernot Kronreif\", \"id\": 222003}, {\"name\": \"Ester Ferrari\", \"id\": 657843}, {\"name\": \"Tomohiro Suzuki\", \"id\": 414135}, {\"name\": \"Alexander Bubeck\", \"id\": 1053436}, {\"name\": \"Septimiu E. Salcudean\", \"id\": 47037}, {\"name\": \"Martin H\\u00e4gele\", \"id\": 121854}, {\"name\": \"Takayuki Kanda\", \"id\": 30047}], \"links\": [{\"source\": 39040, \"target\": 39043}, {\"source\": 39040, \"target\": 116802}, {\"source\": 39040, \"target\": 121854}, {\"source\": 39040, \"target\": 1053436}, {\"source\": 315831, \"target\": 116802}, {\"source\": 315831, \"target\": 572963}, {\"source\": 315831, \"target\": 657843}, {\"source\": 116802, \"target\": 30047}, {\"source\": 116802, \"target\": 414135}, {\"source\": 116802, \"target\": 657843}, {\"source\": 116802, \"target\": 222439}, {\"source\": 116802, \"target\": 572963}, {\"source\": 572963, \"target\": 30047}, {\"source\": 572963, \"target\": 222003}, {\"source\": 572963, \"target\": 222439}, {\"source\": 572963, \"target\": 414135}, {\"source\": 572963, \"target\": 657843}, {\"source\": 572963, \"target\": 947655}, {\"source\": 39043, \"target\": 121854}, {\"source\": 39043, \"target\": 1053436}, {\"source\": 39043, \"target\": 222003}, {\"source\": 222003, \"target\": 47037}, {\"source\": 414135, \"target\": 30047}, {\"source\": 1053436, \"target\": 121854}]}",
"id": 1759,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Georg Arbeiter, Tomohiro Suzuki, Kerstin Dautenhahn, Jaeryoung Lee, Florian Weisshardt, Elena Laudanna, Gert-Jan Gelderblom, Gernot Kronreif, Ester Ferrari, Goro Obinata, Alexander Bubeck, Septimiu E. Salcudean, Martin Hägele, Takayuki Kanda\n- Research collaborations between these authors: Georg Arbeiter and Florian Weisshardt, Georg Arbeiter and Kerstin Dautenhahn, Georg Arbeiter and Martin Hägele, Georg Arbeiter and Alexander Bubeck, Tomohiro Suzuki and Takayuki Kanda, Tomohiro Suzuki and Kerstin Dautenhahn, Tomohiro Suzuki and Jaeryoung Lee, Kerstin Dautenhahn and Takayuki Kanda, Kerstin Dautenhahn and Ester Ferrari, Kerstin Dautenhahn and Elena Laudanna, Kerstin Dautenhahn and Goro Obinata, Kerstin Dautenhahn and Jaeryoung Lee, Jaeryoung Lee and Goro Obinata, Jaeryoung Lee and Takayuki Kanda, Jaeryoung Lee and Gernot Kronreif, Jaeryoung Lee and Elena Laudanna, Jaeryoung Lee and Ester Ferrari, Jaeryoung Lee and Gert-Jan Gelderblom, Florian Weisshardt and Martin Hägele, Florian Weisshardt and Alexander Bubeck, Florian Weisshardt and Gernot Kronreif, Gernot Kronreif and Septimiu E. Salcudean, Ester Ferrari and Goro Obinata, Alexander Bubeck and Martin Hägele.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Laks V. S. Lakshmanan, Xiaoying Wu, Hui Wang, Pawel Placek, H. V. Jagadish, Timos K. Sellis, Zheng Zhao, Yehoshua Sagiv, Theodore Dalamagas, Divesh Srivastava, Yaron Kanza, Dimitri Theodoratos, Stefanos Souldatos, Sihem Amer-Yahia\n- Research collaborations between these authors: Laks V. S. Lakshmanan and Hui Wang, Laks V. S. Lakshmanan and Divesh Srivastava, Laks V. S. Lakshmanan and H. V. Jagadish, Laks V. S. Lakshmanan and Sihem Amer-Yahia, Laks V. S. Lakshmanan and Yehoshua Sagiv, Laks V. S. Lakshmanan and Theodore Dalamagas, Laks V. S. Lakshmanan and Timos K. Sellis, Laks V. S. Lakshmanan and Dimitri Theodoratos, Laks V. S. Lakshmanan and Xiaoying Wu, Laks V. S. Lakshmanan and Yaron Kanza, Laks V. S. Lakshmanan and Stefanos Souldatos, Laks V. S. Lakshmanan and Pawel Placek, Xiaoying Wu and Theodore Dalamagas, Xiaoying Wu and Timos K. Sellis, Xiaoying Wu and Dimitri Theodoratos, Xiaoying Wu and Divesh Srivastava, Xiaoying Wu and H. V. Jagadish, Xiaoying Wu and Sihem Amer-Yahia, Xiaoying Wu and Yehoshua Sagiv, Xiaoying Wu and Yaron Kanza, Xiaoying Wu and Stefanos Souldatos, Xiaoying Wu and Pawel Placek, Hui Wang and Divesh Srivastava, Hui Wang and H. V. Jagadish, Hui Wang and Theodore Dalamagas, Hui Wang and Timos K. Sellis, Hui Wang and Dimitri Theodoratos, Hui Wang and Stefanos Souldatos, Hui Wang and Pawel Placek, Pawel Placek and Theodore Dalamagas, Pawel Placek and Timos K. Sellis, Pawel Placek and Dimitri Theodoratos, Pawel Placek and Stefanos Souldatos, Pawel Placek and Divesh Srivastava, Pawel Placek and H. V. Jagadish, Pawel Placek and Zheng Zhao, Pawel Placek and Sihem Amer-Yahia, Pawel Placek and Yehoshua Sagiv, Pawel Placek and Yaron Kanza, H. V. Jagadish and Divesh Srivastava, H. V. Jagadish and Sihem Amer-Yahia, H. V. Jagadish and Yehoshua Sagiv, H. V. Jagadish and Yaron Kanza, H. V. Jagadish and Theodore Dalamagas, H. V. Jagadish and Timos K. Sellis, H. V. Jagadish and Dimitri Theodoratos, H. V. Jagadish and Stefanos Souldatos, Timos K. Sellis and Theodore Dalamagas, Timos K. Sellis and Divesh Srivastava, Timos K. Sellis and Zheng Zhao, Timos K. Sellis and Sihem Amer-Yahia, Timos K. Sellis and Dimitri Theodoratos, Timos K. Sellis and Yehoshua Sagiv, Timos K. Sellis and Yaron Kanza, Timos K. Sellis and Stefanos Souldatos, Zheng Zhao and Theodore Dalamagas, Zheng Zhao and Dimitri Theodoratos, Zheng Zhao and Stefanos Souldatos, Yehoshua Sagiv and Divesh Srivastava, Yehoshua Sagiv and Theodore Dalamagas, Yehoshua Sagiv and Sihem Amer-Yahia, Yehoshua Sagiv and Dimitri Theodoratos, Yehoshua Sagiv and Yaron Kanza, Yehoshua Sagiv and Stefanos Souldatos, Theodore Dalamagas and Divesh Srivastava, Theodore Dalamagas and Sihem Amer-Yahia, Theodore Dalamagas and Dimitri Theodoratos, Theodore Dalamagas and Yaron Kanza, Theodore Dalamagas and Stefanos Souldatos, Divesh Srivastava and Sihem Amer-Yahia, Divesh Srivastava and Dimitri Theodoratos, Divesh Srivastava and Yaron Kanza, Divesh Srivastava and Stefanos Souldatos, Yaron Kanza and Sihem Amer-Yahia, Yaron Kanza and Dimitri Theodoratos, Yaron Kanza and Stefanos Souldatos, Dimitri Theodoratos and Sihem Amer-Yahia, Dimitri Theodoratos and Stefanos Souldatos, Stefanos Souldatos and Sihem Amer-Yahia.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 12,
"style": "rule"
}
|
{
"exact_answer": 12,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Laks V. S. Lakshmanan\", \"id\": 12544}, {\"name\": \"Xiaoying Wu\", \"id\": 86691}, {\"name\": \"Hui Wang\", \"id\": 966}, {\"name\": \"Dimitri Theodoratos\", \"id\": 38519}, {\"name\": \"Pawel Placek\", \"id\": 573641}, {\"name\": \"H. V. Jagadish\", \"id\": 4586}, {\"name\": \"Timos K. Sellis\", \"id\": 12810}, {\"name\": \"Zheng Zhao\", \"id\": 17963}, {\"name\": \"Yehoshua Sagiv\", \"id\": 165165}, {\"name\": \"Theodore Dalamagas\", \"id\": 12809}, {\"name\": \"Divesh Srivastava\", \"id\": 1780}, {\"name\": \"Yaron Kanza\", \"id\": 287799}, {\"name\": \"Stefanos Souldatos\", \"id\": 428183}, {\"name\": \"Sihem Amer-Yahia\", \"id\": 28925}], \"links\": [{\"source\": 12544, \"target\": 966}, {\"source\": 12544, \"target\": 1780}, {\"source\": 12544, \"target\": 4586}, {\"source\": 12544, \"target\": 28925}, {\"source\": 12544, \"target\": 165165}, {\"source\": 12544, \"target\": 12809}, {\"source\": 12544, \"target\": 12810}, {\"source\": 12544, \"target\": 38519}, {\"source\": 12544, \"target\": 86691}, {\"source\": 12544, \"target\": 287799}, {\"source\": 12544, \"target\": 428183}, {\"source\": 12544, \"target\": 573641}, {\"source\": 86691, \"target\": 12809}, {\"source\": 86691, \"target\": 12810}, {\"source\": 86691, \"target\": 38519}, {\"source\": 86691, \"target\": 1780}, {\"source\": 86691, \"target\": 4586}, {\"source\": 86691, \"target\": 28925}, {\"source\": 86691, \"target\": 165165}, {\"source\": 86691, \"target\": 287799}, {\"source\": 86691, \"target\": 428183}, {\"source\": 86691, \"target\": 573641}, {\"source\": 966, \"target\": 1780}, {\"source\": 966, \"target\": 4586}, {\"source\": 966, \"target\": 12809}, {\"source\": 966, \"target\": 12810}, {\"source\": 966, \"target\": 38519}, {\"source\": 966, \"target\": 428183}, {\"source\": 966, \"target\": 573641}, {\"source\": 38519, \"target\": 12809}, {\"source\": 38519, \"target\": 12810}, {\"source\": 38519, \"target\": 1780}, {\"source\": 38519, \"target\": 4586}, {\"source\": 38519, \"target\": 17963}, {\"source\": 38519, \"target\": 28925}, {\"source\": 38519, \"target\": 165165}, {\"source\": 38519, \"target\": 287799}, {\"source\": 38519, \"target\": 428183}, {\"source\": 38519, \"target\": 573641}, {\"source\": 573641, \"target\": 12809}, {\"source\": 573641, \"target\": 12810}, {\"source\": 573641, \"target\": 428183}, {\"source\": 573641, \"target\": 1780}, {\"source\": 573641, \"target\": 4586}, {\"source\": 573641, \"target\": 17963}, {\"source\": 573641, \"target\": 28925}, {\"source\": 573641, \"target\": 165165}, {\"source\": 573641, \"target\": 287799}, {\"source\": 4586, \"target\": 1780}, {\"source\": 4586, \"target\": 28925}, {\"source\": 4586, \"target\": 165165}, {\"source\": 4586, \"target\": 287799}, {\"source\": 4586, \"target\": 12809}, {\"source\": 4586, \"target\": 12810}, {\"source\": 4586, \"target\": 428183}, {\"source\": 12810, \"target\": 12809}, {\"source\": 12810, \"target\": 1780}, {\"source\": 12810, \"target\": 17963}, {\"source\": 12810, \"target\": 28925}, {\"source\": 12810, \"target\": 165165}, {\"source\": 12810, \"target\": 287799}, {\"source\": 12810, \"target\": 428183}, {\"source\": 17963, \"target\": 12809}, {\"source\": 17963, \"target\": 428183}, {\"source\": 165165, \"target\": 1780}, {\"source\": 165165, \"target\": 12809}, {\"source\": 165165, \"target\": 28925}, {\"source\": 165165, \"target\": 287799}, {\"source\": 165165, \"target\": 428183}, {\"source\": 12809, \"target\": 1780}, {\"source\": 12809, \"target\": 28925}, {\"source\": 12809, \"target\": 287799}, {\"source\": 12809, \"target\": 428183}, {\"source\": 1780, \"target\": 28925}, {\"source\": 1780, \"target\": 287799}, {\"source\": 1780, \"target\": 428183}, {\"source\": 287799, \"target\": 28925}, {\"source\": 287799, \"target\": 428183}, {\"source\": 428183, \"target\": 28925}]}",
"id": 2551,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Laks V. S. Lakshmanan, Xiaoying Wu, Hui Wang, Pawel Placek, H. V. Jagadish, Timos K. Sellis, Zheng Zhao, Yehoshua Sagiv, Theodore Dalamagas, Divesh Srivastava, Yaron Kanza, Dimitri Theodoratos, Stefanos Souldatos, Sihem Amer-Yahia\n- Research collaborations between these authors: Laks V. S. Lakshmanan and Hui Wang, Laks V. S. Lakshmanan and Divesh Srivastava, Laks V. S. Lakshmanan and H. V. Jagadish, Laks V. S. Lakshmanan and Sihem Amer-Yahia, Laks V. S. Lakshmanan and Yehoshua Sagiv, Laks V. S. Lakshmanan and Theodore Dalamagas, Laks V. S. Lakshmanan and Timos K. Sellis, Laks V. S. Lakshmanan and Dimitri Theodoratos, Laks V. S. Lakshmanan and Xiaoying Wu, Laks V. S. Lakshmanan and Yaron Kanza, Laks V. S. Lakshmanan and Stefanos Souldatos, Laks V. S. Lakshmanan and Pawel Placek, Xiaoying Wu and Theodore Dalamagas, Xiaoying Wu and Timos K. Sellis, Xiaoying Wu and Dimitri Theodoratos, Xiaoying Wu and Divesh Srivastava, Xiaoying Wu and H. V. Jagadish, Xiaoying Wu and Sihem Amer-Yahia, Xiaoying Wu and Yehoshua Sagiv, Xiaoying Wu and Yaron Kanza, Xiaoying Wu and Stefanos Souldatos, Xiaoying Wu and Pawel Placek, Hui Wang and Divesh Srivastava, Hui Wang and H. V. Jagadish, Hui Wang and Theodore Dalamagas, Hui Wang and Timos K. Sellis, Hui Wang and Dimitri Theodoratos, Hui Wang and Stefanos Souldatos, Hui Wang and Pawel Placek, Pawel Placek and Theodore Dalamagas, Pawel Placek and Timos K. Sellis, Pawel Placek and Dimitri Theodoratos, Pawel Placek and Stefanos Souldatos, Pawel Placek and Divesh Srivastava, Pawel Placek and H. V. Jagadish, Pawel Placek and Zheng Zhao, Pawel Placek and Sihem Amer-Yahia, Pawel Placek and Yehoshua Sagiv, Pawel Placek and Yaron Kanza, H. V. Jagadish and Divesh Srivastava, H. V. Jagadish and Sihem Amer-Yahia, H. V. Jagadish and Yehoshua Sagiv, H. V. Jagadish and Yaron Kanza, H. V. Jagadish and Theodore Dalamagas, H. V. Jagadish and Timos K. Sellis, H. V. Jagadish and Dimitri Theodoratos, H. V. Jagadish and Stefanos Souldatos, Timos K. Sellis and Theodore Dalamagas, Timos K. Sellis and Divesh Srivastava, Timos K. Sellis and Zheng Zhao, Timos K. Sellis and Sihem Amer-Yahia, Timos K. Sellis and Dimitri Theodoratos, Timos K. Sellis and Yehoshua Sagiv, Timos K. Sellis and Yaron Kanza, Timos K. Sellis and Stefanos Souldatos, Zheng Zhao and Theodore Dalamagas, Zheng Zhao and Dimitri Theodoratos, Zheng Zhao and Stefanos Souldatos, Yehoshua Sagiv and Divesh Srivastava, Yehoshua Sagiv and Theodore Dalamagas, Yehoshua Sagiv and Sihem Amer-Yahia, Yehoshua Sagiv and Dimitri Theodoratos, Yehoshua Sagiv and Yaron Kanza, Yehoshua Sagiv and Stefanos Souldatos, Theodore Dalamagas and Divesh Srivastava, Theodore Dalamagas and Sihem Amer-Yahia, Theodore Dalamagas and Dimitri Theodoratos, Theodore Dalamagas and Yaron Kanza, Theodore Dalamagas and Stefanos Souldatos, Divesh Srivastava and Sihem Amer-Yahia, Divesh Srivastava and Dimitri Theodoratos, Divesh Srivastava and Yaron Kanza, Divesh Srivastava and Stefanos Souldatos, Yaron Kanza and Sihem Amer-Yahia, Yaron Kanza and Dimitri Theodoratos, Yaron Kanza and Stefanos Souldatos, Dimitri Theodoratos and Sihem Amer-Yahia, Dimitri Theodoratos and Stefanos Souldatos, Stefanos Souldatos and Sihem Amer-Yahia.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Daniel Capella Zanotta, Victor Haertel, Mathieu Fauvel, Chew Lim Tan, Qingjie Liu, Liangpei Zhang, Melba M. Crawford, Gerardo Di Martino, Antonio Iodice, Zhiqiang Zhou, Francesca Bovolo, Lorenzo Bruzzone, Luciano Vieira Dutra, Devis Tuia\n- Research collaborations between these authors: Daniel Capella Zanotta and Lorenzo Bruzzone, Daniel Capella Zanotta and Francesca Bovolo, Daniel Capella Zanotta and Victor Haertel, Victor Haertel and Lorenzo Bruzzone, Mathieu Fauvel and Melba M. Crawford, Mathieu Fauvel and Lorenzo Bruzzone, Mathieu Fauvel and Devis Tuia, Mathieu Fauvel and Liangpei Zhang, Qingjie Liu and Lorenzo Bruzzone, Qingjie Liu and Francesca Bovolo, Liangpei Zhang and Melba M. Crawford, Liangpei Zhang and Lorenzo Bruzzone, Liangpei Zhang and Francesca Bovolo, Liangpei Zhang and Devis Tuia, Melba M. Crawford and Lorenzo Bruzzone, Melba M. Crawford and Francesca Bovolo, Melba M. Crawford and Devis Tuia, Gerardo Di Martino and Lorenzo Bruzzone, Gerardo Di Martino and Antonio Iodice, Antonio Iodice and Lorenzo Bruzzone, Zhiqiang Zhou and Lorenzo Bruzzone, Zhiqiang Zhou and Francesca Bovolo, Francesca Bovolo and Lorenzo Bruzzone, Francesca Bovolo and Devis Tuia, Lorenzo Bruzzone and Luciano Vieira Dutra, Lorenzo Bruzzone and Devis Tuia.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Daniel Capella Zanotta\", \"id\": 625024}, {\"name\": \"Victor Haertel\", \"id\": 625025}, {\"name\": \"Mathieu Fauvel\", \"id\": 42724}, {\"name\": \"Qingjie Liu\", \"id\": 3269}, {\"name\": \"Chew Lim Tan\", \"id\": 4517}, {\"name\": \"Devis Tuia\", \"id\": 337374}, {\"name\": \"Gerardo Di Martino\", \"id\": 104908}, {\"name\": \"Antonio Iodice\", \"id\": 241486}, {\"name\": \"Lorenzo Bruzzone\", \"id\": 108891}, {\"name\": \"Zhiqiang Zhou\", \"id\": 148342}, {\"name\": \"Francesca Bovolo\", \"id\": 250649}, {\"name\": \"Melba M. Crawford\", \"id\": 44155}, {\"name\": \"Luciano Vieira Dutra\", \"id\": 65211}, {\"name\": \"Liangpei Zhang\", \"id\": 43486}], \"links\": [{\"source\": 625024, \"target\": 108891}, {\"source\": 625024, \"target\": 250649}, {\"source\": 625024, \"target\": 625025}, {\"source\": 625025, \"target\": 108891}, {\"source\": 42724, \"target\": 44155}, {\"source\": 42724, \"target\": 108891}, {\"source\": 42724, \"target\": 337374}, {\"source\": 42724, \"target\": 43486}, {\"source\": 3269, \"target\": 108891}, {\"source\": 3269, \"target\": 250649}, {\"source\": 337374, \"target\": 43486}, {\"source\": 337374, \"target\": 44155}, {\"source\": 337374, \"target\": 108891}, {\"source\": 337374, \"target\": 250649}, {\"source\": 104908, \"target\": 108891}, {\"source\": 104908, \"target\": 241486}, {\"source\": 241486, \"target\": 108891}, {\"source\": 108891, \"target\": 43486}, {\"source\": 108891, \"target\": 44155}, {\"source\": 108891, \"target\": 65211}, {\"source\": 108891, \"target\": 250649}, {\"source\": 108891, \"target\": 148342}, {\"source\": 148342, \"target\": 250649}, {\"source\": 250649, \"target\": 43486}, {\"source\": 250649, \"target\": 44155}, {\"source\": 44155, \"target\": 43486}]}",
"id": 2508,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Daniel Capella Zanotta, Victor Haertel, Mathieu Fauvel, Chew Lim Tan, Qingjie Liu, Liangpei Zhang, Melba M. Crawford, Gerardo Di Martino, Antonio Iodice, Zhiqiang Zhou, Francesca Bovolo, Lorenzo Bruzzone, Luciano Vieira Dutra, Devis Tuia\n- Research collaborations between these authors: Daniel Capella Zanotta and Lorenzo Bruzzone, Daniel Capella Zanotta and Francesca Bovolo, Daniel Capella Zanotta and Victor Haertel, Victor Haertel and Lorenzo Bruzzone, Mathieu Fauvel and Melba M. Crawford, Mathieu Fauvel and Lorenzo Bruzzone, Mathieu Fauvel and Devis Tuia, Mathieu Fauvel and Liangpei Zhang, Qingjie Liu and Lorenzo Bruzzone, Qingjie Liu and Francesca Bovolo, Liangpei Zhang and Melba M. Crawford, Liangpei Zhang and Lorenzo Bruzzone, Liangpei Zhang and Francesca Bovolo, Liangpei Zhang and Devis Tuia, Melba M. Crawford and Lorenzo Bruzzone, Melba M. Crawford and Francesca Bovolo, Melba M. Crawford and Devis Tuia, Gerardo Di Martino and Lorenzo Bruzzone, Gerardo Di Martino and Antonio Iodice, Antonio Iodice and Lorenzo Bruzzone, Zhiqiang Zhou and Lorenzo Bruzzone, Zhiqiang Zhou and Francesca Bovolo, Francesca Bovolo and Lorenzo Bruzzone, Francesca Bovolo and Devis Tuia, Lorenzo Bruzzone and Luciano Vieira Dutra, Lorenzo Bruzzone and Devis Tuia.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Michael J. Cree, Wolfgang Heidrich, Reinhard Koch, Matthias B. Hullin, Jingyu Lin, Ayush Bhandari, John Peter Godbaz, Refael Whyte, Achuta Kadambi, Ramesh Raskar, Andreas Kolb, Frank Lenzen, Adrian A. Dorrington, Lee Streeter\n- Research collaborations between these authors: Michael J. Cree and Andreas Kolb, Michael J. Cree and Frank Lenzen, Michael J. Cree and Adrian A. Dorrington, Michael J. Cree and Ramesh Raskar, Michael J. Cree and Reinhard Koch, Michael J. Cree and John Peter Godbaz, Michael J. Cree and Lee Streeter, Michael J. Cree and Wolfgang Heidrich, Michael J. Cree and Ayush Bhandari, Michael J. Cree and Achuta Kadambi, Michael J. Cree and Refael Whyte, Michael J. Cree and Matthias B. Hullin, Michael J. Cree and Jingyu Lin, Wolfgang Heidrich and Ramesh Raskar, Wolfgang Heidrich and Andreas Kolb, Wolfgang Heidrich and Adrian A. Dorrington, Wolfgang Heidrich and John Peter Godbaz, Wolfgang Heidrich and Matthias B. Hullin, Wolfgang Heidrich and Achuta Kadambi, Reinhard Koch and Andreas Kolb, Reinhard Koch and Frank Lenzen, Reinhard Koch and Ramesh Raskar, Reinhard Koch and Lee Streeter, Matthias B. Hullin and Ramesh Raskar, Matthias B. Hullin and Achuta Kadambi, Matthias B. Hullin and Adrian A. Dorrington, Matthias B. Hullin and Lee Streeter, Matthias B. Hullin and John Peter Godbaz, Matthias B. Hullin and Jingyu Lin, Jingyu Lin and Adrian A. Dorrington, Jingyu Lin and Ramesh Raskar, Jingyu Lin and John Peter Godbaz, Ayush Bhandari and Ramesh Raskar, Ayush Bhandari and Adrian A. Dorrington, Ayush Bhandari and Achuta Kadambi, Ayush Bhandari and Refael Whyte, Ayush Bhandari and John Peter Godbaz, John Peter Godbaz and Andreas Kolb, John Peter Godbaz and Adrian A. Dorrington, John Peter Godbaz and Ramesh Raskar, John Peter Godbaz and Lee Streeter, John Peter Godbaz and Achuta Kadambi, John Peter Godbaz and Refael Whyte, Refael Whyte and Ramesh Raskar, Refael Whyte and Achuta Kadambi, Refael Whyte and Adrian A. Dorrington, Achuta Kadambi and Ramesh Raskar, Achuta Kadambi and Adrian A. Dorrington, Ramesh Raskar and Adrian A. Dorrington, Andreas Kolb and Adrian A. Dorrington, Andreas Kolb and Frank Lenzen, Frank Lenzen and Adrian A. Dorrington, Adrian A. Dorrington and Lee Streeter.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Wolfgang Heidrich\", \"id\": 174145}, {\"name\": \"Reinhard Koch\", \"id\": 37475}, {\"name\": \"Adrian A. Dorrington\", \"id\": 73691}, {\"name\": \"Matthias B. Hullin\", \"id\": 453735}, {\"name\": \"Jingyu Lin\", \"id\": 612584}, {\"name\": \"Ayush Bhandari\", \"id\": 300328}, {\"name\": \"John Peter Godbaz\", \"id\": 429930}, {\"name\": \"Refael Whyte\", \"id\": 300330}, {\"name\": \"Achuta Kadambi\", \"id\": 300329}, {\"name\": \"Ramesh Raskar\", \"id\": 84591}, {\"name\": \"Andreas Kolb\", \"id\": 17688}, {\"name\": \"Frank Lenzen\", \"id\": 31322}, {\"name\": \"Michael J. Cree\", \"id\": 157467}, {\"name\": \"Lee Streeter\", \"id\": 157468}], \"links\": [{\"source\": 174145, \"target\": 84591}, {\"source\": 174145, \"target\": 17688}, {\"source\": 174145, \"target\": 73691}, {\"source\": 174145, \"target\": 157467}, {\"source\": 174145, \"target\": 429930}, {\"source\": 174145, \"target\": 453735}, {\"source\": 174145, \"target\": 300329}, {\"source\": 37475, \"target\": 17688}, {\"source\": 37475, \"target\": 31322}, {\"source\": 37475, \"target\": 84591}, {\"source\": 37475, \"target\": 157467}, {\"source\": 37475, \"target\": 157468}, {\"source\": 73691, \"target\": 17688}, {\"source\": 73691, \"target\": 31322}, {\"source\": 73691, \"target\": 84591}, {\"source\": 73691, \"target\": 157467}, {\"source\": 73691, \"target\": 157468}, {\"source\": 73691, \"target\": 429930}, {\"source\": 73691, \"target\": 300328}, {\"source\": 73691, \"target\": 300329}, {\"source\": 73691, \"target\": 300330}, {\"source\": 73691, \"target\": 453735}, {\"source\": 73691, \"target\": 612584}, {\"source\": 453735, \"target\": 84591}, {\"source\": 453735, \"target\": 300329}, {\"source\": 453735, \"target\": 157467}, {\"source\": 453735, \"target\": 157468}, {\"source\": 453735, \"target\": 429930}, {\"source\": 453735, \"target\": 612584}, {\"source\": 612584, \"target\": 84591}, {\"source\": 612584, \"target\": 157467}, {\"source\": 612584, \"target\": 429930}, {\"source\": 300328, \"target\": 84591}, {\"source\": 300328, \"target\": 157467}, {\"source\": 300328, \"target\": 300329}, {\"source\": 300328, \"target\": 300330}, {\"source\": 300328, \"target\": 429930}, {\"source\": 429930, \"target\": 17688}, {\"source\": 429930, \"target\": 84591}, {\"source\": 429930, \"target\": 157467}, {\"source\": 429930, \"target\": 157468}, {\"source\": 429930, \"target\": 300329}, {\"source\": 429930, \"target\": 300330}, {\"source\": 300330, \"target\": 84591}, {\"source\": 300330, \"target\": 300329}, {\"source\": 300330, \"target\": 157467}, {\"source\": 300329, \"target\": 84591}, {\"source\": 300329, \"target\": 157467}, {\"source\": 84591, \"target\": 157467}, {\"source\": 17688, \"target\": 157467}, {\"source\": 17688, \"target\": 31322}, {\"source\": 31322, \"target\": 157467}, {\"source\": 157467, \"target\": 157468}]}",
"id": 2060,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Michael J. Cree, Wolfgang Heidrich, Reinhard Koch, Matthias B. Hullin, Jingyu Lin, Ayush Bhandari, John Peter Godbaz, Refael Whyte, Achuta Kadambi, Ramesh Raskar, Andreas Kolb, Frank Lenzen, Adrian A. Dorrington, Lee Streeter\n- Research collaborations between these authors: Michael J. Cree and Andreas Kolb, Michael J. Cree and Frank Lenzen, Michael J. Cree and Adrian A. Dorrington, Michael J. Cree and Ramesh Raskar, Michael J. Cree and Reinhard Koch, Michael J. Cree and John Peter Godbaz, Michael J. Cree and Lee Streeter, Michael J. Cree and Wolfgang Heidrich, Michael J. Cree and Ayush Bhandari, Michael J. Cree and Achuta Kadambi, Michael J. Cree and Refael Whyte, Michael J. Cree and Matthias B. Hullin, Michael J. Cree and Jingyu Lin, Wolfgang Heidrich and Ramesh Raskar, Wolfgang Heidrich and Andreas Kolb, Wolfgang Heidrich and Adrian A. Dorrington, Wolfgang Heidrich and John Peter Godbaz, Wolfgang Heidrich and Matthias B. Hullin, Wolfgang Heidrich and Achuta Kadambi, Reinhard Koch and Andreas Kolb, Reinhard Koch and Frank Lenzen, Reinhard Koch and Ramesh Raskar, Reinhard Koch and Lee Streeter, Matthias B. Hullin and Ramesh Raskar, Matthias B. Hullin and Achuta Kadambi, Matthias B. Hullin and Adrian A. Dorrington, Matthias B. Hullin and Lee Streeter, Matthias B. Hullin and John Peter Godbaz, Matthias B. Hullin and Jingyu Lin, Jingyu Lin and Adrian A. Dorrington, Jingyu Lin and Ramesh Raskar, Jingyu Lin and John Peter Godbaz, Ayush Bhandari and Ramesh Raskar, Ayush Bhandari and Adrian A. Dorrington, Ayush Bhandari and Achuta Kadambi, Ayush Bhandari and Refael Whyte, Ayush Bhandari and John Peter Godbaz, John Peter Godbaz and Andreas Kolb, John Peter Godbaz and Adrian A. Dorrington, John Peter Godbaz and Ramesh Raskar, John Peter Godbaz and Lee Streeter, John Peter Godbaz and Achuta Kadambi, John Peter Godbaz and Refael Whyte, Refael Whyte and Ramesh Raskar, Refael Whyte and Achuta Kadambi, Refael Whyte and Adrian A. Dorrington, Achuta Kadambi and Ramesh Raskar, Achuta Kadambi and Adrian A. Dorrington, Ramesh Raskar and Adrian A. Dorrington, Andreas Kolb and Adrian A. Dorrington, Andreas Kolb and Frank Lenzen, Frank Lenzen and Adrian A. Dorrington, Adrian A. Dorrington and Lee Streeter.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Athanassios N. Avramidis, Pierre L'Ecuyer, Henryk Woźniakowski, Nazim Réegnard, Henryk Woniakowski, Gerardo Rubino, Art B. Owen, Frances Y. Kuo, Hiroshi Haramoto, Ger Koole, Friedrich Pillichshammer, Douglas C. Creighton, Barry L. Nelson, Lih-Yuan Deng\n- Research collaborations between these authors: Athanassios N. Avramidis and Pierre L'Ecuyer, Athanassios N. Avramidis and Ger Koole, Pierre L'Ecuyer and Gerardo Rubino, Pierre L'Ecuyer and Frances Y. Kuo, Pierre L'Ecuyer and Art B. Owen, Pierre L'Ecuyer and Henryk Woźniakowski, Pierre L'Ecuyer and Ger Koole, Pierre L'Ecuyer and Lih-Yuan Deng, Pierre L'Ecuyer and Friedrich Pillichshammer, Pierre L'Ecuyer and Douglas C. Creighton, Pierre L'Ecuyer and Hiroshi Haramoto, Pierre L'Ecuyer and Barry L. Nelson, Pierre L'Ecuyer and Nazim Réegnard, Henryk Woźniakowski and Friedrich Pillichshammer, Henryk Woźniakowski and Frances Y. Kuo, Henryk Woźniakowski and Henryk Woniakowski, Henryk Woniakowski and Friedrich Pillichshammer, Henryk Woniakowski and Frances Y. Kuo, Frances Y. Kuo and Friedrich Pillichshammer.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Athanassios N. Avramidis\", \"id\": 601058}, {\"name\": \"Pierre L'Ecuyer\", \"id\": 120643}, {\"name\": \"Henryk Wo\\u017aniakowski\", \"id\": 319173}, {\"name\": \"Nazim R\\u00e9egnard\", \"id\": 1226729}, {\"name\": \"Henryk Woniakowski\", \"id\": 493578}, {\"name\": \"Gerardo Rubino\", \"id\": 160525}, {\"name\": \"Art B. Owen\", \"id\": 267887}, {\"name\": \"Frances Y. Kuo\", \"id\": 197424}, {\"name\": \"Hiroshi Haramoto\", \"id\": 449041}, {\"name\": \"Ger Koole\", \"id\": 339859}, {\"name\": \"Friedrich Pillichshammer\", \"id\": 178837}, {\"name\": \"Douglas C. Creighton\", \"id\": 195350}, {\"name\": \"Barry L. Nelson\", \"id\": 486425}, {\"name\": \"Lih-Yuan Deng\", \"id\": 550045}], \"links\": [{\"source\": 601058, \"target\": 120643}, {\"source\": 601058, \"target\": 339859}, {\"source\": 120643, \"target\": 160525}, {\"source\": 120643, \"target\": 197424}, {\"source\": 120643, \"target\": 267887}, {\"source\": 120643, \"target\": 319173}, {\"source\": 120643, \"target\": 339859}, {\"source\": 120643, \"target\": 550045}, {\"source\": 120643, \"target\": 178837}, {\"source\": 120643, \"target\": 195350}, {\"source\": 120643, \"target\": 449041}, {\"source\": 120643, \"target\": 486425}, {\"source\": 120643, \"target\": 1226729}, {\"source\": 319173, \"target\": 178837}, {\"source\": 319173, \"target\": 197424}, {\"source\": 319173, \"target\": 493578}, {\"source\": 493578, \"target\": 178837}, {\"source\": 493578, \"target\": 197424}, {\"source\": 197424, \"target\": 178837}]}",
"id": 1283,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Athanassios N. Avramidis, Pierre L'Ecuyer, Henryk Woźniakowski, Nazim Réegnard, Henryk Woniakowski, Gerardo Rubino, Art B. Owen, Frances Y. Kuo, Hiroshi Haramoto, Ger Koole, Friedrich Pillichshammer, Douglas C. Creighton, Barry L. Nelson, Lih-Yuan Deng\n- Research collaborations between these authors: Athanassios N. Avramidis and Pierre L'Ecuyer, Athanassios N. Avramidis and Ger Koole, Pierre L'Ecuyer and Gerardo Rubino, Pierre L'Ecuyer and Frances Y. Kuo, Pierre L'Ecuyer and Art B. Owen, Pierre L'Ecuyer and Henryk Woźniakowski, Pierre L'Ecuyer and Ger Koole, Pierre L'Ecuyer and Lih-Yuan Deng, Pierre L'Ecuyer and Friedrich Pillichshammer, Pierre L'Ecuyer and Douglas C. Creighton, Pierre L'Ecuyer and Hiroshi Haramoto, Pierre L'Ecuyer and Barry L. Nelson, Pierre L'Ecuyer and Nazim Réegnard, Henryk Woźniakowski and Friedrich Pillichshammer, Henryk Woźniakowski and Frances Y. Kuo, Henryk Woźniakowski and Henryk Woniakowski, Henryk Woniakowski and Friedrich Pillichshammer, Henryk Woniakowski and Frances Y. Kuo, Frances Y. Kuo and Friedrich Pillichshammer.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Dominique Verpoorten, David Griffiths, Francis Brouns, Maria A. Marques, Dai Griffiths, Marc Alier, Miguel Á. Conde, Gustavo R. Alves, Francisco José García-Peñalvo, José A. Merlo, Laura Briz Ponce, Abelardo Pardo, Elwira Waszkiewicz, Miguel Ángel Conde\n- Research collaborations between these authors: Dominique Verpoorten and Francisco José García-Peñalvo, Dominique Verpoorten and Marc Alier, David Griffiths and Francisco José García-Peñalvo, David Griffiths and Gustavo R. Alves, David Griffiths and Miguel Ángel Conde, David Griffiths and Miguel Á. Conde, David Griffiths and Marc Alier, David Griffiths and Dai Griffiths, David Griffiths and Francis Brouns, David Griffiths and Maria A. Marques, David Griffiths and Elwira Waszkiewicz, Francis Brouns and Francisco José García-Peñalvo, Francis Brouns and Gustavo R. Alves, Francis Brouns and Marc Alier, Francis Brouns and Dai Griffiths, Francis Brouns and Miguel Ángel Conde, Francis Brouns and Maria A. Marques, Maria A. Marques and Francisco José García-Peñalvo, Maria A. Marques and Gustavo R. Alves, Maria A. Marques and Miguel Ángel Conde, Maria A. Marques and Marc Alier, Dai Griffiths and Francisco José García-Peñalvo, Dai Griffiths and Gustavo R. Alves, Dai Griffiths and Miguel Á. Conde, Dai Griffiths and Marc Alier, Marc Alier and Francisco José García-Peñalvo, Marc Alier and Gustavo R. Alves, Marc Alier and Miguel Á. Conde, Marc Alier and Miguel Ángel Conde, Miguel Á. Conde and Francisco José García-Peñalvo, Miguel Á. Conde and Abelardo Pardo, Miguel Á. Conde and Miguel Ángel Conde, Gustavo R. Alves and Francisco José García-Peñalvo, Gustavo R. Alves and Miguel Ángel Conde, Gustavo R. Alves and Elwira Waszkiewicz, Francisco José García-Peñalvo and Abelardo Pardo, Francisco José García-Peñalvo and Miguel Ángel Conde, Francisco José García-Peñalvo and Laura Briz Ponce, Francisco José García-Peñalvo and José A. Merlo, Francisco José García-Peñalvo and Elwira Waszkiewicz.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Dominique Verpoorten\", \"id\": 181921}, {\"name\": \"David Griffiths\", \"id\": 50342}, {\"name\": \"Maria A. Marques\", \"id\": 508840}, {\"name\": \"Dai Griffiths\", \"id\": 306347}, {\"name\": \"Marc Alier\", \"id\": 211437}, {\"name\": \"Miguel \\u00c1. Conde\", \"id\": 205038}, {\"name\": \"Gustavo R. Alves\", \"id\": 22606}, {\"name\": \"Francisco Jos\\u00e9 Garc\\u00eda-Pe\\u00f1alvo\", \"id\": 7632}, {\"name\": \"Jos\\u00e9 A. Merlo\", \"id\": 781553}, {\"name\": \"Laura Briz Ponce\", \"id\": 738639}, {\"name\": \"Abelardo Pardo\", \"id\": 45204}, {\"name\": \"Miguel \\u00c1ngel Conde\", \"id\": 74362}, {\"name\": \"Elwira Waszkiewicz\", \"id\": 936377}, {\"name\": \"Francis Brouns\", \"id\": 473242}], \"links\": [{\"source\": 181921, \"target\": 7632}, {\"source\": 181921, \"target\": 211437}, {\"source\": 50342, \"target\": 7632}, {\"source\": 50342, \"target\": 22606}, {\"source\": 50342, \"target\": 74362}, {\"source\": 50342, \"target\": 205038}, {\"source\": 50342, \"target\": 211437}, {\"source\": 50342, \"target\": 306347}, {\"source\": 50342, \"target\": 473242}, {\"source\": 50342, \"target\": 508840}, {\"source\": 50342, \"target\": 936377}, {\"source\": 508840, \"target\": 7632}, {\"source\": 508840, \"target\": 22606}, {\"source\": 508840, \"target\": 74362}, {\"source\": 508840, \"target\": 211437}, {\"source\": 508840, \"target\": 473242}, {\"source\": 306347, \"target\": 7632}, {\"source\": 306347, \"target\": 22606}, {\"source\": 306347, \"target\": 205038}, {\"source\": 306347, \"target\": 211437}, {\"source\": 306347, \"target\": 473242}, {\"source\": 211437, \"target\": 7632}, {\"source\": 211437, \"target\": 22606}, {\"source\": 211437, \"target\": 205038}, {\"source\": 211437, \"target\": 74362}, {\"source\": 211437, \"target\": 473242}, {\"source\": 205038, \"target\": 7632}, {\"source\": 205038, \"target\": 45204}, {\"source\": 205038, \"target\": 74362}, {\"source\": 22606, \"target\": 7632}, {\"source\": 22606, \"target\": 74362}, {\"source\": 22606, \"target\": 473242}, {\"source\": 22606, \"target\": 936377}, {\"source\": 7632, \"target\": 45204}, {\"source\": 7632, \"target\": 74362}, {\"source\": 7632, \"target\": 473242}, {\"source\": 7632, \"target\": 738639}, {\"source\": 7632, \"target\": 781553}, {\"source\": 7632, \"target\": 936377}, {\"source\": 74362, \"target\": 473242}]}",
"id": 1471,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Dominique Verpoorten, David Griffiths, Francis Brouns, Maria A. Marques, Dai Griffiths, Marc Alier, Miguel Á. Conde, Gustavo R. Alves, Francisco José García-Peñalvo, José A. Merlo, Laura Briz Ponce, Abelardo Pardo, Elwira Waszkiewicz, Miguel Ángel Conde\n- Research collaborations between these authors: Dominique Verpoorten and Francisco José García-Peñalvo, Dominique Verpoorten and Marc Alier, David Griffiths and Francisco José García-Peñalvo, David Griffiths and Gustavo R. Alves, David Griffiths and Miguel Ángel Conde, David Griffiths and Miguel Á. Conde, David Griffiths and Marc Alier, David Griffiths and Dai Griffiths, David Griffiths and Francis Brouns, David Griffiths and Maria A. Marques, David Griffiths and Elwira Waszkiewicz, Francis Brouns and Francisco José García-Peñalvo, Francis Brouns and Gustavo R. Alves, Francis Brouns and Marc Alier, Francis Brouns and Dai Griffiths, Francis Brouns and Miguel Ángel Conde, Francis Brouns and Maria A. Marques, Maria A. Marques and Francisco José García-Peñalvo, Maria A. Marques and Gustavo R. Alves, Maria A. Marques and Miguel Ángel Conde, Maria A. Marques and Marc Alier, Dai Griffiths and Francisco José García-Peñalvo, Dai Griffiths and Gustavo R. Alves, Dai Griffiths and Miguel Á. Conde, Dai Griffiths and Marc Alier, Marc Alier and Francisco José García-Peñalvo, Marc Alier and Gustavo R. Alves, Marc Alier and Miguel Á. Conde, Marc Alier and Miguel Ángel Conde, Miguel Á. Conde and Francisco José García-Peñalvo, Miguel Á. Conde and Abelardo Pardo, Miguel Á. Conde and Miguel Ángel Conde, Gustavo R. Alves and Francisco José García-Peñalvo, Gustavo R. Alves and Miguel Ángel Conde, Gustavo R. Alves and Elwira Waszkiewicz, Francisco José García-Peñalvo and Abelardo Pardo, Francisco José García-Peñalvo and Miguel Ángel Conde, Francisco José García-Peñalvo and Laura Briz Ponce, Francisco José García-Peñalvo and José A. Merlo, Francisco José García-Peñalvo and Elwira Waszkiewicz.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kaleem Siddiqi, Michela Spagnuolo, Bianca Falcidieno, Linjun Yang, Alan Hanjalic, Xian-Sheng Hua, Henning Müller, Meng Wang, Savvas A. Chatzichristofis, Reinier H. van Leuken, Xueming Qian, Bogdan Ionescu, Sven J. Dickinson, Ali Shokoufandeh\n- Research collaborations between these authors: Kaleem Siddiqi and Michela Spagnuolo, Kaleem Siddiqi and Bianca Falcidieno, Kaleem Siddiqi and Ali Shokoufandeh, Kaleem Siddiqi and Sven J. Dickinson, Kaleem Siddiqi and Reinier H. van Leuken, Michela Spagnuolo and Bianca Falcidieno, Michela Spagnuolo and Ali Shokoufandeh, Michela Spagnuolo and Sven J. Dickinson, Michela Spagnuolo and Reinier H. van Leuken, Bianca Falcidieno and Ali Shokoufandeh, Bianca Falcidieno and Sven J. Dickinson, Bianca Falcidieno and Reinier H. van Leuken, Linjun Yang and Xueming Qian, Linjun Yang and Xian-Sheng Hua, Linjun Yang and Meng Wang, Linjun Yang and Alan Hanjalic, Linjun Yang and Reinier H. van Leuken, Alan Hanjalic and Henning Müller, Alan Hanjalic and Xueming Qian, Alan Hanjalic and Bogdan Ionescu, Alan Hanjalic and Xian-Sheng Hua, Alan Hanjalic and Meng Wang, Alan Hanjalic and Reinier H. van Leuken, Xian-Sheng Hua and Xueming Qian, Xian-Sheng Hua and Bogdan Ionescu, Xian-Sheng Hua and Meng Wang, Xian-Sheng Hua and Reinier H. van Leuken, Henning Müller and Bogdan Ionescu, Henning Müller and Savvas A. Chatzichristofis, Henning Müller and Reinier H. van Leuken, Meng Wang and Xueming Qian, Meng Wang and Reinier H. van Leuken, Savvas A. Chatzichristofis and Reinier H. van Leuken, Reinier H. van Leuken and Xueming Qian, Reinier H. van Leuken and Bogdan Ionescu, Reinier H. van Leuken and Ali Shokoufandeh, Reinier H. van Leuken and Sven J. Dickinson, Sven J. Dickinson and Ali Shokoufandeh.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Kaleem Siddiqi\", \"id\": 36258}, {\"name\": \"Michela Spagnuolo\", \"id\": 16899}, {\"name\": \"Bianca Falcidieno\", \"id\": 16901}, {\"name\": \"Linjun Yang\", \"id\": 29703}, {\"name\": \"Alan Hanjalic\", \"id\": 77032}, {\"name\": \"Xian-Sheng Hua\", \"id\": 29896}, {\"name\": \"Henning M\\u00fcller\", \"id\": 1480}, {\"name\": \"Meng Wang\", \"id\": 29900}, {\"name\": \"Savvas A. Chatzichristofis\", \"id\": 56718}, {\"name\": \"Reinier H. van Leuken\", \"id\": 476816}, {\"name\": \"Xueming Qian\", \"id\": 2576}, {\"name\": \"Bogdan Ionescu\", \"id\": 28729}, {\"name\": \"Sven J. Dickinson\", \"id\": 217437}, {\"name\": \"Ali Shokoufandeh\", \"id\": 84607}], \"links\": [{\"source\": 36258, \"target\": 16899}, {\"source\": 36258, \"target\": 16901}, {\"source\": 36258, \"target\": 84607}, {\"source\": 36258, \"target\": 217437}, {\"source\": 36258, \"target\": 476816}, {\"source\": 16899, \"target\": 16901}, {\"source\": 16899, \"target\": 84607}, {\"source\": 16899, \"target\": 217437}, {\"source\": 16899, \"target\": 476816}, {\"source\": 16901, \"target\": 84607}, {\"source\": 16901, \"target\": 217437}, {\"source\": 16901, \"target\": 476816}, {\"source\": 29703, \"target\": 2576}, {\"source\": 29703, \"target\": 29896}, {\"source\": 29703, \"target\": 29900}, {\"source\": 29703, \"target\": 77032}, {\"source\": 29703, \"target\": 476816}, {\"source\": 77032, \"target\": 1480}, {\"source\": 77032, \"target\": 2576}, {\"source\": 77032, \"target\": 28729}, {\"source\": 77032, \"target\": 29896}, {\"source\": 77032, \"target\": 29900}, {\"source\": 77032, \"target\": 476816}, {\"source\": 29896, \"target\": 2576}, {\"source\": 29896, \"target\": 28729}, {\"source\": 29896, \"target\": 29900}, {\"source\": 29896, \"target\": 476816}, {\"source\": 1480, \"target\": 28729}, {\"source\": 1480, \"target\": 56718}, {\"source\": 1480, \"target\": 476816}, {\"source\": 29900, \"target\": 2576}, {\"source\": 29900, \"target\": 476816}, {\"source\": 56718, \"target\": 476816}, {\"source\": 476816, \"target\": 2576}, {\"source\": 476816, \"target\": 28729}, {\"source\": 476816, \"target\": 84607}, {\"source\": 476816, \"target\": 217437}, {\"source\": 217437, \"target\": 84607}]}",
"id": 1817,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Kaleem Siddiqi, Michela Spagnuolo, Bianca Falcidieno, Linjun Yang, Alan Hanjalic, Xian-Sheng Hua, Henning Müller, Meng Wang, Savvas A. Chatzichristofis, Reinier H. van Leuken, Xueming Qian, Bogdan Ionescu, Sven J. Dickinson, Ali Shokoufandeh\n- Research collaborations between these authors: Kaleem Siddiqi and Michela Spagnuolo, Kaleem Siddiqi and Bianca Falcidieno, Kaleem Siddiqi and Ali Shokoufandeh, Kaleem Siddiqi and Sven J. Dickinson, Kaleem Siddiqi and Reinier H. van Leuken, Michela Spagnuolo and Bianca Falcidieno, Michela Spagnuolo and Ali Shokoufandeh, Michela Spagnuolo and Sven J. Dickinson, Michela Spagnuolo and Reinier H. van Leuken, Bianca Falcidieno and Ali Shokoufandeh, Bianca Falcidieno and Sven J. Dickinson, Bianca Falcidieno and Reinier H. van Leuken, Linjun Yang and Xueming Qian, Linjun Yang and Xian-Sheng Hua, Linjun Yang and Meng Wang, Linjun Yang and Alan Hanjalic, Linjun Yang and Reinier H. van Leuken, Alan Hanjalic and Henning Müller, Alan Hanjalic and Xueming Qian, Alan Hanjalic and Bogdan Ionescu, Alan Hanjalic and Xian-Sheng Hua, Alan Hanjalic and Meng Wang, Alan Hanjalic and Reinier H. van Leuken, Xian-Sheng Hua and Xueming Qian, Xian-Sheng Hua and Bogdan Ionescu, Xian-Sheng Hua and Meng Wang, Xian-Sheng Hua and Reinier H. van Leuken, Henning Müller and Bogdan Ionescu, Henning Müller and Savvas A. Chatzichristofis, Henning Müller and Reinier H. van Leuken, Meng Wang and Xueming Qian, Meng Wang and Reinier H. van Leuken, Savvas A. Chatzichristofis and Reinier H. van Leuken, Reinier H. van Leuken and Xueming Qian, Reinier H. van Leuken and Bogdan Ionescu, Reinier H. van Leuken and Ali Shokoufandeh, Reinier H. van Leuken and Sven J. Dickinson, Sven J. Dickinson and Ali Shokoufandeh.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: T. H. Tse, Simone Borsci, Wolfgang Grieskamp, Dessislava Petrova-Antonova, Mark Harman, Asser N. Tantawi, Patrice Godefroid, Andrew F. Tappenden, Andreas Zeller, Seung-Kyu Park, Baowen Xu, Xiao Qu, Tsong Yueh Chen, Fei-Ching Kuo\n- Research collaborations between these authors: T. H. Tse and Mark Harman, T. H. Tse and Baowen Xu, T. H. Tse and Andrew F. Tappenden, T. H. Tse and Tsong Yueh Chen, T. H. Tse and Fei-Ching Kuo, T. H. Tse and Wolfgang Grieskamp, T. H. Tse and Andreas Zeller, Wolfgang Grieskamp and Mark Harman, Wolfgang Grieskamp and Tsong Yueh Chen, Wolfgang Grieskamp and Patrice Godefroid, Wolfgang Grieskamp and Fei-Ching Kuo, Wolfgang Grieskamp and Xiao Qu, Mark Harman and Andreas Zeller, Mark Harman and Baowen Xu, Mark Harman and Patrice Godefroid, Mark Harman and Tsong Yueh Chen, Mark Harman and Fei-Ching Kuo, Mark Harman and Xiao Qu, Patrice Godefroid and Andreas Zeller, Patrice Godefroid and Tsong Yueh Chen, Patrice Godefroid and Xiao Qu, Andrew F. Tappenden and Tsong Yueh Chen, Andrew F. Tappenden and Fei-Ching Kuo, Andreas Zeller and Baowen Xu, Andreas Zeller and Tsong Yueh Chen, Andreas Zeller and Fei-Ching Kuo, Seung-Kyu Park and Tsong Yueh Chen, Baowen Xu and Tsong Yueh Chen, Baowen Xu and Fei-Ching Kuo, Xiao Qu and Tsong Yueh Chen, Xiao Qu and Fei-Ching Kuo, Tsong Yueh Chen and Fei-Ching Kuo.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"T. H. Tse\", \"id\": 399937}, {\"name\": \"Simone Borsci\", \"id\": 70403}, {\"name\": \"Dessislava Petrova-Antonova\", \"id\": 19942}, {\"name\": \"Wolfgang Grieskamp\", \"id\": 238758}, {\"name\": \"Seung-Kyu Park\", \"id\": 342488}, {\"name\": \"Mark Harman\", \"id\": 15308}, {\"name\": \"Asser N. Tantawi\", \"id\": 75409}, {\"name\": \"Patrice Godefroid\", \"id\": 122132}, {\"name\": \"Andrew F. Tappenden\", \"id\": 106198}, {\"name\": \"Andreas Zeller\", \"id\": 5080}, {\"name\": \"Baowen Xu\", \"id\": 97208}, {\"name\": \"Xiao Qu\", \"id\": 319482}, {\"name\": \"Tsong Yueh Chen\", \"id\": 126556}, {\"name\": \"Fei-Ching Kuo\", \"id\": 126557}], \"links\": [{\"source\": 399937, \"target\": 15308}, {\"source\": 399937, \"target\": 97208}, {\"source\": 399937, \"target\": 106198}, {\"source\": 399937, \"target\": 126556}, {\"source\": 399937, \"target\": 126557}, {\"source\": 399937, \"target\": 238758}, {\"source\": 399937, \"target\": 5080}, {\"source\": 238758, \"target\": 15308}, {\"source\": 238758, \"target\": 126556}, {\"source\": 238758, \"target\": 122132}, {\"source\": 238758, \"target\": 126557}, {\"source\": 238758, \"target\": 319482}, {\"source\": 342488, \"target\": 126556}, {\"source\": 15308, \"target\": 5080}, {\"source\": 15308, \"target\": 97208}, {\"source\": 15308, \"target\": 122132}, {\"source\": 15308, \"target\": 126556}, {\"source\": 15308, \"target\": 126557}, {\"source\": 15308, \"target\": 319482}, {\"source\": 122132, \"target\": 5080}, {\"source\": 122132, \"target\": 126556}, {\"source\": 122132, \"target\": 319482}, {\"source\": 106198, \"target\": 126556}, {\"source\": 106198, \"target\": 126557}, {\"source\": 5080, \"target\": 97208}, {\"source\": 5080, \"target\": 126556}, {\"source\": 5080, \"target\": 126557}, {\"source\": 97208, \"target\": 126556}, {\"source\": 97208, \"target\": 126557}, {\"source\": 319482, \"target\": 126556}, {\"source\": 319482, \"target\": 126557}, {\"source\": 126556, \"target\": 126557}]}",
"id": 1555,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: T. H. Tse, Simone Borsci, Wolfgang Grieskamp, Dessislava Petrova-Antonova, Mark Harman, Asser N. Tantawi, Patrice Godefroid, Andrew F. Tappenden, Andreas Zeller, Seung-Kyu Park, Baowen Xu, Xiao Qu, Tsong Yueh Chen, Fei-Ching Kuo\n- Research collaborations between these authors: T. H. Tse and Mark Harman, T. H. Tse and Baowen Xu, T. H. Tse and Andrew F. Tappenden, T. H. Tse and Tsong Yueh Chen, T. H. Tse and Fei-Ching Kuo, T. H. Tse and Wolfgang Grieskamp, T. H. Tse and Andreas Zeller, Wolfgang Grieskamp and Mark Harman, Wolfgang Grieskamp and Tsong Yueh Chen, Wolfgang Grieskamp and Patrice Godefroid, Wolfgang Grieskamp and Fei-Ching Kuo, Wolfgang Grieskamp and Xiao Qu, Mark Harman and Andreas Zeller, Mark Harman and Baowen Xu, Mark Harman and Patrice Godefroid, Mark Harman and Tsong Yueh Chen, Mark Harman and Fei-Ching Kuo, Mark Harman and Xiao Qu, Patrice Godefroid and Andreas Zeller, Patrice Godefroid and Tsong Yueh Chen, Patrice Godefroid and Xiao Qu, Andrew F. Tappenden and Tsong Yueh Chen, Andrew F. Tappenden and Fei-Ching Kuo, Andreas Zeller and Baowen Xu, Andreas Zeller and Tsong Yueh Chen, Andreas Zeller and Fei-Ching Kuo, Seung-Kyu Park and Tsong Yueh Chen, Baowen Xu and Tsong Yueh Chen, Baowen Xu and Fei-Ching Kuo, Xiao Qu and Tsong Yueh Chen, Xiao Qu and Fei-Ching Kuo, Tsong Yueh Chen and Fei-Ching Kuo.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Anne Hersey, Louisa J. Bellis, Yvonne Light, Alexander Lex, Jeffrey W. Godden, Anne Mai Wassermann, Bissan Al-Lazikani, Martin Vogt, Mark Davies, Bijun Zhang, Gerald M. Maggiora, Jürgen Bajorath, Teague Sterling, Anna Gaulton\n- Research collaborations between these authors: Anne Hersey and Mark Davies, Anne Hersey and Martin Vogt, Anne Hersey and Gerald M. Maggiora, Anne Hersey and Jürgen Bajorath, Anne Hersey and Anna Gaulton, Anne Hersey and Louisa J. Bellis, Anne Hersey and Yvonne Light, Anne Hersey and Bissan Al-Lazikani, Anne Hersey and Teague Sterling, Louisa J. Bellis and Mark Davies, Louisa J. Bellis and Martin Vogt, Louisa J. Bellis and Gerald M. Maggiora, Louisa J. Bellis and Jürgen Bajorath, Louisa J. Bellis and Anna Gaulton, Louisa J. Bellis and Teague Sterling, Louisa J. Bellis and Yvonne Light, Louisa J. Bellis and Bissan Al-Lazikani, Yvonne Light and Mark Davies, Yvonne Light and Martin Vogt, Yvonne Light and Gerald M. Maggiora, Yvonne Light and Jürgen Bajorath, Yvonne Light and Anna Gaulton, Alexander Lex and Anne Mai Wassermann, Jeffrey W. Godden and Martin Vogt, Jeffrey W. Godden and Jürgen Bajorath, Anne Mai Wassermann and Bijun Zhang, Anne Mai Wassermann and Jürgen Bajorath, Bissan Al-Lazikani and Mark Davies, Bissan Al-Lazikani and Martin Vogt, Bissan Al-Lazikani and Gerald M. Maggiora, Bissan Al-Lazikani and Jürgen Bajorath, Bissan Al-Lazikani and Anna Gaulton, Martin Vogt and Mark Davies, Martin Vogt and Bijun Zhang, Martin Vogt and Gerald M. Maggiora, Martin Vogt and Jürgen Bajorath, Martin Vogt and Anna Gaulton, Martin Vogt and Teague Sterling, Mark Davies and Anna Gaulton, Mark Davies and Gerald M. Maggiora, Mark Davies and Jürgen Bajorath, Mark Davies and Teague Sterling, Bijun Zhang and Gerald M. Maggiora, Bijun Zhang and Jürgen Bajorath, Gerald M. Maggiora and Jürgen Bajorath, Gerald M. Maggiora and Anna Gaulton, Jürgen Bajorath and Anna Gaulton, Jürgen Bajorath and Teague Sterling, Teague Sterling and Anna Gaulton.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Anne Hersey\", \"id\": 201920}, {\"name\": \"J\\u00fcrgen Bajorath\", \"id\": 201691}, {\"name\": \"Louisa J. Bellis\", \"id\": 529319}, {\"name\": \"Yvonne Light\", \"id\": 529320}, {\"name\": \"Alexander Lex\", \"id\": 365897}, {\"name\": \"Anne Mai Wassermann\", \"id\": 497964}, {\"name\": \"Martin Vogt\", \"id\": 105105}, {\"name\": \"Mark Davies\", \"id\": 7796}, {\"name\": \"Bissan Al-Lazikani\", \"id\": 855577}, {\"name\": \"Gerald M. Maggiora\", \"id\": 201690}, {\"name\": \"Jeffrey W. Godden\", \"id\": 516155}, {\"name\": \"Bijun Zhang\", \"id\": 201689}, {\"name\": \"Teague Sterling\", \"id\": 422942}, {\"name\": \"Anna Gaulton\", \"id\": 201919}], \"links\": [{\"source\": 201920, \"target\": 7796}, {\"source\": 201920, \"target\": 105105}, {\"source\": 201920, \"target\": 201690}, {\"source\": 201920, \"target\": 201691}, {\"source\": 201920, \"target\": 201919}, {\"source\": 201920, \"target\": 529319}, {\"source\": 201920, \"target\": 529320}, {\"source\": 201920, \"target\": 855577}, {\"source\": 201920, \"target\": 422942}, {\"source\": 201691, \"target\": 105105}, {\"source\": 201691, \"target\": 201689}, {\"source\": 201691, \"target\": 201690}, {\"source\": 201691, \"target\": 7796}, {\"source\": 201691, \"target\": 201919}, {\"source\": 201691, \"target\": 422942}, {\"source\": 201691, \"target\": 497964}, {\"source\": 201691, \"target\": 516155}, {\"source\": 201691, \"target\": 529319}, {\"source\": 201691, \"target\": 529320}, {\"source\": 201691, \"target\": 855577}, {\"source\": 529319, \"target\": 7796}, {\"source\": 529319, \"target\": 105105}, {\"source\": 529319, \"target\": 201690}, {\"source\": 529319, \"target\": 201919}, {\"source\": 529319, \"target\": 422942}, {\"source\": 529319, \"target\": 529320}, {\"source\": 529319, \"target\": 855577}, {\"source\": 529320, \"target\": 7796}, {\"source\": 529320, \"target\": 105105}, {\"source\": 529320, \"target\": 201690}, {\"source\": 529320, \"target\": 201919}, {\"source\": 365897, \"target\": 497964}, {\"source\": 497964, \"target\": 201689}, {\"source\": 105105, \"target\": 7796}, {\"source\": 105105, \"target\": 201689}, {\"source\": 105105, \"target\": 201690}, {\"source\": 105105, \"target\": 201919}, {\"source\": 105105, \"target\": 422942}, {\"source\": 105105, \"target\": 516155}, {\"source\": 105105, \"target\": 855577}, {\"source\": 7796, \"target\": 201919}, {\"source\": 7796, \"target\": 855577}, {\"source\": 7796, \"target\": 201690}, {\"source\": 7796, \"target\": 422942}, {\"source\": 855577, \"target\": 201690}, {\"source\": 855577, \"target\": 201919}, {\"source\": 201690, \"target\": 201689}, {\"source\": 201690, \"target\": 201919}, {\"source\": 422942, \"target\": 201919}]}",
"id": 2441,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Anne Hersey, Louisa J. Bellis, Yvonne Light, Alexander Lex, Jeffrey W. Godden, Anne Mai Wassermann, Bissan Al-Lazikani, Martin Vogt, Mark Davies, Bijun Zhang, Gerald M. Maggiora, Jürgen Bajorath, Teague Sterling, Anna Gaulton\n- Research collaborations between these authors: Anne Hersey and Mark Davies, Anne Hersey and Martin Vogt, Anne Hersey and Gerald M. Maggiora, Anne Hersey and Jürgen Bajorath, Anne Hersey and Anna Gaulton, Anne Hersey and Louisa J. Bellis, Anne Hersey and Yvonne Light, Anne Hersey and Bissan Al-Lazikani, Anne Hersey and Teague Sterling, Louisa J. Bellis and Mark Davies, Louisa J. Bellis and Martin Vogt, Louisa J. Bellis and Gerald M. Maggiora, Louisa J. Bellis and Jürgen Bajorath, Louisa J. Bellis and Anna Gaulton, Louisa J. Bellis and Teague Sterling, Louisa J. Bellis and Yvonne Light, Louisa J. Bellis and Bissan Al-Lazikani, Yvonne Light and Mark Davies, Yvonne Light and Martin Vogt, Yvonne Light and Gerald M. Maggiora, Yvonne Light and Jürgen Bajorath, Yvonne Light and Anna Gaulton, Alexander Lex and Anne Mai Wassermann, Jeffrey W. Godden and Martin Vogt, Jeffrey W. Godden and Jürgen Bajorath, Anne Mai Wassermann and Bijun Zhang, Anne Mai Wassermann and Jürgen Bajorath, Bissan Al-Lazikani and Mark Davies, Bissan Al-Lazikani and Martin Vogt, Bissan Al-Lazikani and Gerald M. Maggiora, Bissan Al-Lazikani and Jürgen Bajorath, Bissan Al-Lazikani and Anna Gaulton, Martin Vogt and Mark Davies, Martin Vogt and Bijun Zhang, Martin Vogt and Gerald M. Maggiora, Martin Vogt and Jürgen Bajorath, Martin Vogt and Anna Gaulton, Martin Vogt and Teague Sterling, Mark Davies and Anna Gaulton, Mark Davies and Gerald M. Maggiora, Mark Davies and Jürgen Bajorath, Mark Davies and Teague Sterling, Bijun Zhang and Gerald M. Maggiora, Bijun Zhang and Jürgen Bajorath, Gerald M. Maggiora and Jürgen Bajorath, Gerald M. Maggiora and Anna Gaulton, Jürgen Bajorath and Anna Gaulton, Jürgen Bajorath and Teague Sterling, Teague Sterling and Anna Gaulton.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Eduardo Santana de Almeida, Alexandre Alvaro, Vinicius Cardoso Garcia, Kieran Conboy, Silvio Romero de Lemos Meira, E.S. de Almeida, M. Rizwan Jameel Qureshi, Daniel Lucrédio, S.R. de Lemos Meira, Outi Salo, Jorge Cláudio Cordeiro Pires Mascena, Maurizio Morisio, Renata Pontin de Mattos Fortes, Pekka Abrahamsson\n- Research collaborations between these authors: Eduardo Santana de Almeida and Silvio Romero de Lemos Meira, Eduardo Santana de Almeida and Renata Pontin de Mattos Fortes, Eduardo Santana de Almeida and Vinicius Cardoso Garcia, Eduardo Santana de Almeida and Daniel Lucrédio, Eduardo Santana de Almeida and Alexandre Alvaro, Eduardo Santana de Almeida and Maurizio Morisio, Eduardo Santana de Almeida and E.S. de Almeida, Eduardo Santana de Almeida and Jorge Cláudio Cordeiro Pires Mascena, Eduardo Santana de Almeida and S.R. de Lemos Meira, Alexandre Alvaro and Silvio Romero de Lemos Meira, Alexandre Alvaro and Renata Pontin de Mattos Fortes, Alexandre Alvaro and Vinicius Cardoso Garcia, Alexandre Alvaro and Daniel Lucrédio, Alexandre Alvaro and Maurizio Morisio, Alexandre Alvaro and E.S. de Almeida, Alexandre Alvaro and Jorge Cláudio Cordeiro Pires Mascena, Alexandre Alvaro and S.R. de Lemos Meira, Alexandre Alvaro and M. Rizwan Jameel Qureshi, Vinicius Cardoso Garcia and Silvio Romero de Lemos Meira, Vinicius Cardoso Garcia and Renata Pontin de Mattos Fortes, Vinicius Cardoso Garcia and Daniel Lucrédio, Vinicius Cardoso Garcia and Maurizio Morisio, Vinicius Cardoso Garcia and E.S. de Almeida, Vinicius Cardoso Garcia and Jorge Cláudio Cordeiro Pires Mascena, Vinicius Cardoso Garcia and S.R. de Lemos Meira, Kieran Conboy and Pekka Abrahamsson, Silvio Romero de Lemos Meira and Renata Pontin de Mattos Fortes, Silvio Romero de Lemos Meira and Daniel Lucrédio, Silvio Romero de Lemos Meira and Maurizio Morisio, Silvio Romero de Lemos Meira and E.S. de Almeida, Silvio Romero de Lemos Meira and Jorge Cláudio Cordeiro Pires Mascena, Silvio Romero de Lemos Meira and S.R. de Lemos Meira, E.S. de Almeida and Renata Pontin de Mattos Fortes, E.S. de Almeida and Daniel Lucrédio, E.S. de Almeida and M. Rizwan Jameel Qureshi, E.S. de Almeida and S.R. de Lemos Meira, E.S. de Almeida and Jorge Cláudio Cordeiro Pires Mascena, M. Rizwan Jameel Qureshi and Pekka Abrahamsson, M. Rizwan Jameel Qureshi and Daniel Lucrédio, M. Rizwan Jameel Qureshi and Outi Salo, Daniel Lucrédio and Renata Pontin de Mattos Fortes, Daniel Lucrédio and Maurizio Morisio, Daniel Lucrédio and Jorge Cláudio Cordeiro Pires Mascena, Daniel Lucrédio and S.R. de Lemos Meira, S.R. de Lemos Meira and Renata Pontin de Mattos Fortes, S.R. de Lemos Meira and Jorge Cláudio Cordeiro Pires Mascena, Outi Salo and Pekka Abrahamsson, Jorge Cláudio Cordeiro Pires Mascena and Renata Pontin de Mattos Fortes.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 9,
"style": "rule"
}
|
{
"exact_answer": 9,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Eduardo Santana de Almeida\", \"id\": 93953}, {\"name\": \"Alexandre Alvaro\", \"id\": 93954}, {\"name\": \"Pekka Abrahamsson\", \"id\": 17759}, {\"name\": \"Vinicius Cardoso Garcia\", \"id\": 84551}, {\"name\": \"Kieran Conboy\", \"id\": 39463}, {\"name\": \"Silvio Romero de Lemos Meira\", \"id\": 43979}, {\"name\": \"E.S. de Almeida\", \"id\": 294476}, {\"name\": \"M. Rizwan Jameel Qureshi\", \"id\": 148301}, {\"name\": \"Daniel Lucr\\u00e9dio\", \"id\": 86638}, {\"name\": \"Outi Salo\", \"id\": 238865}, {\"name\": \"Jorge Cl\\u00e1udio Cordeiro Pires Mascena\", \"id\": 316977}, {\"name\": \"Maurizio Morisio\", \"id\": 244886}, {\"name\": \"Renata Pontin de Mattos Fortes\", \"id\": 70840}, {\"name\": \"S.R. de Lemos Meira\", \"id\": 377375}], \"links\": [{\"source\": 93953, \"target\": 43979}, {\"source\": 93953, \"target\": 70840}, {\"source\": 93953, \"target\": 84551}, {\"source\": 93953, \"target\": 86638}, {\"source\": 93953, \"target\": 93954}, {\"source\": 93953, \"target\": 244886}, {\"source\": 93953, \"target\": 294476}, {\"source\": 93953, \"target\": 316977}, {\"source\": 93953, \"target\": 377375}, {\"source\": 93954, \"target\": 43979}, {\"source\": 93954, \"target\": 70840}, {\"source\": 93954, \"target\": 84551}, {\"source\": 93954, \"target\": 86638}, {\"source\": 93954, \"target\": 244886}, {\"source\": 93954, \"target\": 294476}, {\"source\": 93954, \"target\": 316977}, {\"source\": 93954, \"target\": 377375}, {\"source\": 93954, \"target\": 148301}, {\"source\": 17759, \"target\": 39463}, {\"source\": 17759, \"target\": 238865}, {\"source\": 17759, \"target\": 148301}, {\"source\": 84551, \"target\": 43979}, {\"source\": 84551, \"target\": 70840}, {\"source\": 84551, \"target\": 86638}, {\"source\": 84551, \"target\": 244886}, {\"source\": 84551, \"target\": 294476}, {\"source\": 84551, \"target\": 316977}, {\"source\": 84551, \"target\": 377375}, {\"source\": 43979, \"target\": 70840}, {\"source\": 43979, \"target\": 86638}, {\"source\": 43979, \"target\": 244886}, {\"source\": 43979, \"target\": 294476}, {\"source\": 43979, \"target\": 316977}, {\"source\": 43979, \"target\": 377375}, {\"source\": 294476, \"target\": 70840}, {\"source\": 294476, \"target\": 86638}, {\"source\": 294476, \"target\": 148301}, {\"source\": 294476, \"target\": 377375}, {\"source\": 294476, \"target\": 316977}, {\"source\": 148301, \"target\": 86638}, {\"source\": 148301, \"target\": 238865}, {\"source\": 86638, \"target\": 70840}, {\"source\": 86638, \"target\": 244886}, {\"source\": 86638, \"target\": 316977}, {\"source\": 86638, \"target\": 377375}, {\"source\": 316977, \"target\": 70840}, {\"source\": 316977, \"target\": 377375}, {\"source\": 70840, \"target\": 377375}]}",
"id": 2622,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Eduardo Santana de Almeida, Alexandre Alvaro, Vinicius Cardoso Garcia, Kieran Conboy, Silvio Romero de Lemos Meira, E.S. de Almeida, M. Rizwan Jameel Qureshi, Daniel Lucrédio, S.R. de Lemos Meira, Outi Salo, Jorge Cláudio Cordeiro Pires Mascena, Maurizio Morisio, Renata Pontin de Mattos Fortes, Pekka Abrahamsson\n- Research collaborations between these authors: Eduardo Santana de Almeida and Silvio Romero de Lemos Meira, Eduardo Santana de Almeida and Renata Pontin de Mattos Fortes, Eduardo Santana de Almeida and Vinicius Cardoso Garcia, Eduardo Santana de Almeida and Daniel Lucrédio, Eduardo Santana de Almeida and Alexandre Alvaro, Eduardo Santana de Almeida and Maurizio Morisio, Eduardo Santana de Almeida and E.S. de Almeida, Eduardo Santana de Almeida and Jorge Cláudio Cordeiro Pires Mascena, Eduardo Santana de Almeida and S.R. de Lemos Meira, Alexandre Alvaro and Silvio Romero de Lemos Meira, Alexandre Alvaro and Renata Pontin de Mattos Fortes, Alexandre Alvaro and Vinicius Cardoso Garcia, Alexandre Alvaro and Daniel Lucrédio, Alexandre Alvaro and Maurizio Morisio, Alexandre Alvaro and E.S. de Almeida, Alexandre Alvaro and Jorge Cláudio Cordeiro Pires Mascena, Alexandre Alvaro and S.R. de Lemos Meira, Alexandre Alvaro and M. Rizwan Jameel Qureshi, Vinicius Cardoso Garcia and Silvio Romero de Lemos Meira, Vinicius Cardoso Garcia and Renata Pontin de Mattos Fortes, Vinicius Cardoso Garcia and Daniel Lucrédio, Vinicius Cardoso Garcia and Maurizio Morisio, Vinicius Cardoso Garcia and E.S. de Almeida, Vinicius Cardoso Garcia and Jorge Cláudio Cordeiro Pires Mascena, Vinicius Cardoso Garcia and S.R. de Lemos Meira, Kieran Conboy and Pekka Abrahamsson, Silvio Romero de Lemos Meira and Renata Pontin de Mattos Fortes, Silvio Romero de Lemos Meira and Daniel Lucrédio, Silvio Romero de Lemos Meira and Maurizio Morisio, Silvio Romero de Lemos Meira and E.S. de Almeida, Silvio Romero de Lemos Meira and Jorge Cláudio Cordeiro Pires Mascena, Silvio Romero de Lemos Meira and S.R. de Lemos Meira, E.S. de Almeida and Renata Pontin de Mattos Fortes, E.S. de Almeida and Daniel Lucrédio, E.S. de Almeida and M. Rizwan Jameel Qureshi, E.S. de Almeida and S.R. de Lemos Meira, E.S. de Almeida and Jorge Cláudio Cordeiro Pires Mascena, M. Rizwan Jameel Qureshi and Pekka Abrahamsson, M. Rizwan Jameel Qureshi and Daniel Lucrédio, M. Rizwan Jameel Qureshi and Outi Salo, Daniel Lucrédio and Renata Pontin de Mattos Fortes, Daniel Lucrédio and Maurizio Morisio, Daniel Lucrédio and Jorge Cláudio Cordeiro Pires Mascena, Daniel Lucrédio and S.R. de Lemos Meira, S.R. de Lemos Meira and Renata Pontin de Mattos Fortes, S.R. de Lemos Meira and Jorge Cláudio Cordeiro Pires Mascena, Outi Salo and Pekka Abrahamsson, Jorge Cláudio Cordeiro Pires Mascena and Renata Pontin de Mattos Fortes.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Gaolin Fang, Hongming Zhang, Christian Vogler, Stefanos D. Kollias, Thad Starner, Vassilis Pitsikalis, W. W. Kong, Houqiang Li, Debin Zhao, Wen Gao, Hanjie Wang, Yiqiang Chen, Wengang Zhou, Petros Maragos\n- Research collaborations between these authors: Gaolin Fang and Petros Maragos, Gaolin Fang and Stefanos D. Kollias, Gaolin Fang and Debin Zhao, Gaolin Fang and Wen Gao, Gaolin Fang and Thad Starner, Gaolin Fang and Vassilis Pitsikalis, Gaolin Fang and Yiqiang Chen, Gaolin Fang and Hongming Zhang, Gaolin Fang and Christian Vogler, Gaolin Fang and Houqiang Li, Gaolin Fang and Hanjie Wang, Gaolin Fang and Wengang Zhou, Gaolin Fang and W. W. Kong, Hongming Zhang and Debin Zhao, Hongming Zhang and Wen Gao, Christian Vogler and Petros Maragos, Christian Vogler and Debin Zhao, Christian Vogler and Wen Gao, Christian Vogler and Thad Starner, Christian Vogler and Vassilis Pitsikalis, Christian Vogler and Yiqiang Chen, Stefanos D. Kollias and Petros Maragos, Stefanos D. Kollias and Debin Zhao, Stefanos D. Kollias and Wen Gao, Thad Starner and Wen Gao, Thad Starner and Debin Zhao, Thad Starner and Hanjie Wang, Vassilis Pitsikalis and Petros Maragos, Vassilis Pitsikalis and Wen Gao, W. W. Kong and Wen Gao, Houqiang Li and Debin Zhao, Houqiang Li and Wen Gao, Houqiang Li and Hanjie Wang, Houqiang Li and Wengang Zhou, Debin Zhao and Wen Gao, Debin Zhao and Yiqiang Chen, Debin Zhao and Hanjie Wang, Debin Zhao and Wengang Zhou, Wen Gao and Petros Maragos, Wen Gao and Yiqiang Chen, Wen Gao and Wengang Zhou, Wen Gao and Hanjie Wang, Hanjie Wang and Wengang Zhou.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Gaolin Fang\", \"id\": 59552}, {\"name\": \"Hongming Zhang\", \"id\": 176226}, {\"name\": \"Christian Vogler\", \"id\": 240899}, {\"name\": \"Stefanos D. Kollias\", \"id\": 4390}, {\"name\": \"Thad Starner\", \"id\": 27625}, {\"name\": \"Vassilis Pitsikalis\", \"id\": 58345}, {\"name\": \"W. W. Kong\", \"id\": 798987}, {\"name\": \"Houqiang Li\", \"id\": 102539}, {\"name\": \"Debin Zhao\", \"id\": 13901}, {\"name\": \"Wen Gao\", \"id\": 13902}, {\"name\": \"Hanjie Wang\", \"id\": 218255}, {\"name\": \"Yiqiang Chen\", \"id\": 153003}, {\"name\": \"Wengang Zhou\", \"id\": 230587}, {\"name\": \"Petros Maragos\", \"id\": 2206}], \"links\": [{\"source\": 59552, \"target\": 2206}, {\"source\": 59552, \"target\": 4390}, {\"source\": 59552, \"target\": 13901}, {\"source\": 59552, \"target\": 13902}, {\"source\": 59552, \"target\": 27625}, {\"source\": 59552, \"target\": 58345}, {\"source\": 59552, \"target\": 153003}, {\"source\": 59552, \"target\": 176226}, {\"source\": 59552, \"target\": 240899}, {\"source\": 59552, \"target\": 102539}, {\"source\": 59552, \"target\": 218255}, {\"source\": 59552, \"target\": 230587}, {\"source\": 59552, \"target\": 798987}, {\"source\": 176226, \"target\": 13901}, {\"source\": 176226, \"target\": 13902}, {\"source\": 240899, \"target\": 2206}, {\"source\": 240899, \"target\": 13901}, {\"source\": 240899, \"target\": 13902}, {\"source\": 240899, \"target\": 27625}, {\"source\": 240899, \"target\": 58345}, {\"source\": 240899, \"target\": 153003}, {\"source\": 4390, \"target\": 2206}, {\"source\": 4390, \"target\": 13901}, {\"source\": 4390, \"target\": 13902}, {\"source\": 27625, \"target\": 13902}, {\"source\": 27625, \"target\": 13901}, {\"source\": 27625, \"target\": 218255}, {\"source\": 58345, \"target\": 2206}, {\"source\": 58345, \"target\": 13902}, {\"source\": 798987, \"target\": 13902}, {\"source\": 102539, \"target\": 13901}, {\"source\": 102539, \"target\": 13902}, {\"source\": 102539, \"target\": 218255}, {\"source\": 102539, \"target\": 230587}, {\"source\": 13901, \"target\": 13902}, {\"source\": 13901, \"target\": 153003}, {\"source\": 13901, \"target\": 218255}, {\"source\": 13901, \"target\": 230587}, {\"source\": 13902, \"target\": 2206}, {\"source\": 13902, \"target\": 153003}, {\"source\": 13902, \"target\": 230587}, {\"source\": 13902, \"target\": 218255}, {\"source\": 218255, \"target\": 230587}]}",
"id": 1108,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Gaolin Fang, Hongming Zhang, Christian Vogler, Stefanos D. Kollias, Thad Starner, Vassilis Pitsikalis, W. W. Kong, Houqiang Li, Debin Zhao, Wen Gao, Hanjie Wang, Yiqiang Chen, Wengang Zhou, Petros Maragos\n- Research collaborations between these authors: Gaolin Fang and Petros Maragos, Gaolin Fang and Stefanos D. Kollias, Gaolin Fang and Debin Zhao, Gaolin Fang and Wen Gao, Gaolin Fang and Thad Starner, Gaolin Fang and Vassilis Pitsikalis, Gaolin Fang and Yiqiang Chen, Gaolin Fang and Hongming Zhang, Gaolin Fang and Christian Vogler, Gaolin Fang and Houqiang Li, Gaolin Fang and Hanjie Wang, Gaolin Fang and Wengang Zhou, Gaolin Fang and W. W. Kong, Hongming Zhang and Debin Zhao, Hongming Zhang and Wen Gao, Christian Vogler and Petros Maragos, Christian Vogler and Debin Zhao, Christian Vogler and Wen Gao, Christian Vogler and Thad Starner, Christian Vogler and Vassilis Pitsikalis, Christian Vogler and Yiqiang Chen, Stefanos D. Kollias and Petros Maragos, Stefanos D. Kollias and Debin Zhao, Stefanos D. Kollias and Wen Gao, Thad Starner and Wen Gao, Thad Starner and Debin Zhao, Thad Starner and Hanjie Wang, Vassilis Pitsikalis and Petros Maragos, Vassilis Pitsikalis and Wen Gao, W. W. Kong and Wen Gao, Houqiang Li and Debin Zhao, Houqiang Li and Wen Gao, Houqiang Li and Hanjie Wang, Houqiang Li and Wengang Zhou, Debin Zhao and Wen Gao, Debin Zhao and Yiqiang Chen, Debin Zhao and Hanjie Wang, Debin Zhao and Wengang Zhou, Wen Gao and Petros Maragos, Wen Gao and Yiqiang Chen, Wen Gao and Wengang Zhou, Wen Gao and Hanjie Wang, Hanjie Wang and Wengang Zhou.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Zachary Pincus, Christian Jauvin, E. Luke McCarthy, David L. Buckeridge, Christopher J. O. Baker, Artjom Klein, Arash Shaban-Nejad, Leonid L. Chepelev, Mohammad Sadnan Al Manir, Robyn Tamblyn, Alan J. Forster, Gregory W. Rose, Anya Okhmatovskaia, Mark D. Wilkinson\n- Research collaborations between these authors: Zachary Pincus and David L. Buckeridge, Christian Jauvin and Arash Shaban-Nejad, Christian Jauvin and David L. Buckeridge, E. Luke McCarthy and Artjom Klein, E. Luke McCarthy and Christopher J. O. Baker, E. Luke McCarthy and Arash Shaban-Nejad, E. Luke McCarthy and David L. Buckeridge, E. Luke McCarthy and Mark D. Wilkinson, E. Luke McCarthy and Gregory W. Rose, E. Luke McCarthy and Alan J. Forster, E. Luke McCarthy and Leonid L. Chepelev, David L. Buckeridge and Artjom Klein, David L. Buckeridge and Christopher J. O. Baker, David L. Buckeridge and Arash Shaban-Nejad, David L. Buckeridge and Mark D. Wilkinson, David L. Buckeridge and Gregory W. Rose, David L. Buckeridge and Anya Okhmatovskaia, David L. Buckeridge and Robyn Tamblyn, David L. Buckeridge and Alan J. Forster, David L. Buckeridge and Leonid L. Chepelev, David L. Buckeridge and Mohammad Sadnan Al Manir, Christopher J. O. Baker and Artjom Klein, Christopher J. O. Baker and Arash Shaban-Nejad, Christopher J. O. Baker and Mark D. Wilkinson, Christopher J. O. Baker and Gregory W. Rose, Christopher J. O. Baker and Alan J. Forster, Christopher J. O. Baker and Leonid L. Chepelev, Christopher J. O. Baker and Mohammad Sadnan Al Manir, Christopher J. O. Baker and Robyn Tamblyn, Artjom Klein and Arash Shaban-Nejad, Artjom Klein and Mark D. Wilkinson, Artjom Klein and Gregory W. Rose, Artjom Klein and Alan J. Forster, Artjom Klein and Leonid L. Chepelev, Artjom Klein and Mohammad Sadnan Al Manir, Arash Shaban-Nejad and Mark D. Wilkinson, Arash Shaban-Nejad and Gregory W. Rose, Arash Shaban-Nejad and Anya Okhmatovskaia, Arash Shaban-Nejad and Robyn Tamblyn, Arash Shaban-Nejad and Alan J. Forster, Arash Shaban-Nejad and Leonid L. Chepelev, Arash Shaban-Nejad and Mohammad Sadnan Al Manir, Leonid L. Chepelev and Alan J. Forster, Leonid L. Chepelev and Mark D. Wilkinson, Mohammad Sadnan Al Manir and Gregory W. Rose, Mohammad Sadnan Al Manir and Alan J. Forster, Alan J. Forster and Gregory W. Rose, Alan J. Forster and Mark D. Wilkinson, Gregory W. Rose and Mark D. Wilkinson.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Zachary Pincus\", \"id\": 340448}, {\"name\": \"Christian Jauvin\", \"id\": 761352}, {\"name\": \"E. Luke McCarthy\", \"id\": 85609}, {\"name\": \"David L. Buckeridge\", \"id\": 40463}, {\"name\": \"Christopher J. O. Baker\", \"id\": 3056}, {\"name\": \"Artjom Klein\", \"id\": 3055}, {\"name\": \"Arash Shaban-Nejad\", \"id\": 21042}, {\"name\": \"Leonid L. Chepelev\", \"id\": 664978}, {\"name\": \"Mohammad Sadnan Al Manir\", \"id\": 81844}, {\"name\": \"Robyn Tamblyn\", \"id\": 108277}, {\"name\": \"Alan J. Forster\", \"id\": 108278}, {\"name\": \"Gregory W. Rose\", \"id\": 108275}, {\"name\": \"Anya Okhmatovskaia\", \"id\": 108276}, {\"name\": \"Mark D. Wilkinson\", \"id\": 51868}], \"links\": [{\"source\": 340448, \"target\": 40463}, {\"source\": 761352, \"target\": 21042}, {\"source\": 761352, \"target\": 40463}, {\"source\": 85609, \"target\": 3055}, {\"source\": 85609, \"target\": 3056}, {\"source\": 85609, \"target\": 21042}, {\"source\": 85609, \"target\": 40463}, {\"source\": 85609, \"target\": 51868}, {\"source\": 85609, \"target\": 108275}, {\"source\": 85609, \"target\": 108278}, {\"source\": 85609, \"target\": 664978}, {\"source\": 40463, \"target\": 3055}, {\"source\": 40463, \"target\": 3056}, {\"source\": 40463, \"target\": 21042}, {\"source\": 40463, \"target\": 51868}, {\"source\": 40463, \"target\": 108275}, {\"source\": 40463, \"target\": 108276}, {\"source\": 40463, \"target\": 108277}, {\"source\": 40463, \"target\": 108278}, {\"source\": 40463, \"target\": 664978}, {\"source\": 40463, \"target\": 81844}, {\"source\": 3056, \"target\": 3055}, {\"source\": 3056, \"target\": 21042}, {\"source\": 3056, \"target\": 51868}, {\"source\": 3056, \"target\": 108275}, {\"source\": 3056, \"target\": 108278}, {\"source\": 3056, \"target\": 664978}, {\"source\": 3056, \"target\": 81844}, {\"source\": 3056, \"target\": 108277}, {\"source\": 3055, \"target\": 21042}, {\"source\": 3055, \"target\": 51868}, {\"source\": 3055, \"target\": 108275}, {\"source\": 3055, \"target\": 108278}, {\"source\": 3055, \"target\": 664978}, {\"source\": 3055, \"target\": 81844}, {\"source\": 21042, \"target\": 51868}, {\"source\": 21042, \"target\": 108275}, {\"source\": 21042, \"target\": 108276}, {\"source\": 21042, \"target\": 108277}, {\"source\": 21042, \"target\": 108278}, {\"source\": 21042, \"target\": 664978}, {\"source\": 21042, \"target\": 81844}, {\"source\": 664978, \"target\": 108278}, {\"source\": 664978, \"target\": 51868}, {\"source\": 81844, \"target\": 108275}, {\"source\": 81844, \"target\": 108278}, {\"source\": 108278, \"target\": 108275}, {\"source\": 108278, \"target\": 51868}, {\"source\": 108275, \"target\": 51868}]}",
"id": 73,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Zachary Pincus, Christian Jauvin, E. Luke McCarthy, David L. Buckeridge, Christopher J. O. Baker, Artjom Klein, Arash Shaban-Nejad, Leonid L. Chepelev, Mohammad Sadnan Al Manir, Robyn Tamblyn, Alan J. Forster, Gregory W. Rose, Anya Okhmatovskaia, Mark D. Wilkinson\n- Research collaborations between these authors: Zachary Pincus and David L. Buckeridge, Christian Jauvin and Arash Shaban-Nejad, Christian Jauvin and David L. Buckeridge, E. Luke McCarthy and Artjom Klein, E. Luke McCarthy and Christopher J. O. Baker, E. Luke McCarthy and Arash Shaban-Nejad, E. Luke McCarthy and David L. Buckeridge, E. Luke McCarthy and Mark D. Wilkinson, E. Luke McCarthy and Gregory W. Rose, E. Luke McCarthy and Alan J. Forster, E. Luke McCarthy and Leonid L. Chepelev, David L. Buckeridge and Artjom Klein, David L. Buckeridge and Christopher J. O. Baker, David L. Buckeridge and Arash Shaban-Nejad, David L. Buckeridge and Mark D. Wilkinson, David L. Buckeridge and Gregory W. Rose, David L. Buckeridge and Anya Okhmatovskaia, David L. Buckeridge and Robyn Tamblyn, David L. Buckeridge and Alan J. Forster, David L. Buckeridge and Leonid L. Chepelev, David L. Buckeridge and Mohammad Sadnan Al Manir, Christopher J. O. Baker and Artjom Klein, Christopher J. O. Baker and Arash Shaban-Nejad, Christopher J. O. Baker and Mark D. Wilkinson, Christopher J. O. Baker and Gregory W. Rose, Christopher J. O. Baker and Alan J. Forster, Christopher J. O. Baker and Leonid L. Chepelev, Christopher J. O. Baker and Mohammad Sadnan Al Manir, Christopher J. O. Baker and Robyn Tamblyn, Artjom Klein and Arash Shaban-Nejad, Artjom Klein and Mark D. Wilkinson, Artjom Klein and Gregory W. Rose, Artjom Klein and Alan J. Forster, Artjom Klein and Leonid L. Chepelev, Artjom Klein and Mohammad Sadnan Al Manir, Arash Shaban-Nejad and Mark D. Wilkinson, Arash Shaban-Nejad and Gregory W. Rose, Arash Shaban-Nejad and Anya Okhmatovskaia, Arash Shaban-Nejad and Robyn Tamblyn, Arash Shaban-Nejad and Alan J. Forster, Arash Shaban-Nejad and Leonid L. Chepelev, Arash Shaban-Nejad and Mohammad Sadnan Al Manir, Leonid L. Chepelev and Alan J. Forster, Leonid L. Chepelev and Mark D. Wilkinson, Mohammad Sadnan Al Manir and Gregory W. Rose, Mohammad Sadnan Al Manir and Alan J. Forster, Alan J. Forster and Gregory W. Rose, Alan J. Forster and Mark D. Wilkinson, Gregory W. Rose and Mark D. Wilkinson.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Antoine Geissbuhler, Graciela Rosemblat, Jure Leskovec, Yehoshua Perl, Olivier Bodenreider, Thomas C. Rindflesch, Aurélie Névéol, Wytze J. Vlietstra, Demeke Ayele, Dietrich Rebholz-Schuhmann, Rong Xu, Patrick Ruch, Sampo Pyysalo, Dina Demner-Fushman\n- Research collaborations between these authors: Antoine Geissbuhler and Dina Demner-Fushman, Antoine Geissbuhler and Olivier Bodenreider, Antoine Geissbuhler and Thomas C. Rindflesch, Antoine Geissbuhler and Patrick Ruch, Antoine Geissbuhler and Aurélie Névéol, Antoine Geissbuhler and Dietrich Rebholz-Schuhmann, Graciela Rosemblat and Thomas C. Rindflesch, Graciela Rosemblat and Dina Demner-Fushman, Graciela Rosemblat and Olivier Bodenreider, Yehoshua Perl and Olivier Bodenreider, Olivier Bodenreider and Dina Demner-Fushman, Olivier Bodenreider and Sampo Pyysalo, Olivier Bodenreider and Thomas C. Rindflesch, Olivier Bodenreider and Aurélie Névéol, Olivier Bodenreider and Patrick Ruch, Olivier Bodenreider and Dietrich Rebholz-Schuhmann, Olivier Bodenreider and Rong Xu, Olivier Bodenreider and Wytze J. Vlietstra, Olivier Bodenreider and Demeke Ayele, Thomas C. Rindflesch and Dina Demner-Fushman, Thomas C. Rindflesch and Sampo Pyysalo, Thomas C. Rindflesch and Aurélie Névéol, Thomas C. Rindflesch and Patrick Ruch, Aurélie Névéol and Dina Demner-Fushman, Aurélie Névéol and Sampo Pyysalo, Aurélie Névéol and Patrick Ruch, Dietrich Rebholz-Schuhmann and Sampo Pyysalo, Dietrich Rebholz-Schuhmann and Patrick Ruch, Patrick Ruch and Dina Demner-Fushman, Sampo Pyysalo and Dina Demner-Fushman.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Graciela Rosemblat\", \"id\": 47681}, {\"name\": \"Antoine Geissbuhler\", \"id\": 25921}, {\"name\": \"Jure Leskovec\", \"id\": 44612}, {\"name\": \"Yehoshua Perl\", \"id\": 40071}, {\"name\": \"Olivier Bodenreider\", \"id\": 13128}, {\"name\": \"Thomas C. Rindflesch\", \"id\": 31915}, {\"name\": \"Aur\\u00e9lie N\\u00e9v\\u00e9ol\", \"id\": 50155}, {\"name\": \"Wytze J. Vlietstra\", \"id\": 940237}, {\"name\": \"Demeke Ayele\", \"id\": 1103118}, {\"name\": \"Dietrich Rebholz-Schuhmann\", \"id\": 85429}, {\"name\": \"Rong Xu\", \"id\": 110646}, {\"name\": \"Patrick Ruch\", \"id\": 54648}, {\"name\": \"Sampo Pyysalo\", \"id\": 12125}, {\"name\": \"Dina Demner-Fushman\", \"id\": 735}], \"links\": [{\"source\": 47681, \"target\": 31915}, {\"source\": 47681, \"target\": 735}, {\"source\": 47681, \"target\": 13128}, {\"source\": 25921, \"target\": 735}, {\"source\": 25921, \"target\": 13128}, {\"source\": 25921, \"target\": 31915}, {\"source\": 25921, \"target\": 54648}, {\"source\": 25921, \"target\": 50155}, {\"source\": 25921, \"target\": 85429}, {\"source\": 40071, \"target\": 13128}, {\"source\": 13128, \"target\": 735}, {\"source\": 13128, \"target\": 12125}, {\"source\": 13128, \"target\": 31915}, {\"source\": 13128, \"target\": 50155}, {\"source\": 13128, \"target\": 54648}, {\"source\": 13128, \"target\": 85429}, {\"source\": 13128, \"target\": 110646}, {\"source\": 13128, \"target\": 940237}, {\"source\": 13128, \"target\": 1103118}, {\"source\": 31915, \"target\": 735}, {\"source\": 31915, \"target\": 12125}, {\"source\": 31915, \"target\": 50155}, {\"source\": 31915, \"target\": 54648}, {\"source\": 50155, \"target\": 735}, {\"source\": 50155, \"target\": 12125}, {\"source\": 50155, \"target\": 54648}, {\"source\": 85429, \"target\": 12125}, {\"source\": 85429, \"target\": 54648}, {\"source\": 54648, \"target\": 735}, {\"source\": 12125, \"target\": 735}]}",
"id": 1264,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Antoine Geissbuhler, Graciela Rosemblat, Jure Leskovec, Yehoshua Perl, Olivier Bodenreider, Thomas C. Rindflesch, Aurélie Névéol, Wytze J. Vlietstra, Demeke Ayele, Dietrich Rebholz-Schuhmann, Rong Xu, Patrick Ruch, Sampo Pyysalo, Dina Demner-Fushman\n- Research collaborations between these authors: Antoine Geissbuhler and Dina Demner-Fushman, Antoine Geissbuhler and Olivier Bodenreider, Antoine Geissbuhler and Thomas C. Rindflesch, Antoine Geissbuhler and Patrick Ruch, Antoine Geissbuhler and Aurélie Névéol, Antoine Geissbuhler and Dietrich Rebholz-Schuhmann, Graciela Rosemblat and Thomas C. Rindflesch, Graciela Rosemblat and Dina Demner-Fushman, Graciela Rosemblat and Olivier Bodenreider, Yehoshua Perl and Olivier Bodenreider, Olivier Bodenreider and Dina Demner-Fushman, Olivier Bodenreider and Sampo Pyysalo, Olivier Bodenreider and Thomas C. Rindflesch, Olivier Bodenreider and Aurélie Névéol, Olivier Bodenreider and Patrick Ruch, Olivier Bodenreider and Dietrich Rebholz-Schuhmann, Olivier Bodenreider and Rong Xu, Olivier Bodenreider and Wytze J. Vlietstra, Olivier Bodenreider and Demeke Ayele, Thomas C. Rindflesch and Dina Demner-Fushman, Thomas C. Rindflesch and Sampo Pyysalo, Thomas C. Rindflesch and Aurélie Névéol, Thomas C. Rindflesch and Patrick Ruch, Aurélie Névéol and Dina Demner-Fushman, Aurélie Névéol and Sampo Pyysalo, Aurélie Névéol and Patrick Ruch, Dietrich Rebholz-Schuhmann and Sampo Pyysalo, Dietrich Rebholz-Schuhmann and Patrick Ruch, Patrick Ruch and Dina Demner-Fushman, Sampo Pyysalo and Dina Demner-Fushman.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Johanna Moore, Lauri Malmi, Ivandré Paraboni, Luciana Benotti, Carlos Areces, Andrew Gargett, Konstantina Garoufi, Alexander Koller, Kristina Striegnitz, Petri Ihantola, Verena Rieser, Thomas L. Naps, Laura Stoia, Darla Magdalena Shockley\n- Research collaborations between these authors: Johanna Moore and Verena Rieser, Johanna Moore and Luciana Benotti, Johanna Moore and Konstantina Garoufi, Johanna Moore and Alexander Koller, Lauri Malmi and Luciana Benotti, Lauri Malmi and Petri Ihantola, Lauri Malmi and Thomas L. Naps, Ivandré Paraboni and Luciana Benotti, Luciana Benotti and Verena Rieser, Luciana Benotti and Laura Stoia, Luciana Benotti and Darla Magdalena Shockley, Luciana Benotti and Carlos Areces, Luciana Benotti and Andrew Gargett, Luciana Benotti and Konstantina Garoufi, Luciana Benotti and Alexander Koller, Luciana Benotti and Kristina Striegnitz, Luciana Benotti and Petri Ihantola, Luciana Benotti and Thomas L. Naps, Carlos Areces and Alexander Koller, Konstantina Garoufi and Laura Stoia, Konstantina Garoufi and Alexander Koller, Konstantina Garoufi and Kristina Striegnitz, Alexander Koller and Verena Rieser, Alexander Koller and Laura Stoia, Alexander Koller and Kristina Striegnitz, Petri Ihantola and Thomas L. Naps.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Johanna Moore\", \"id\": 78402}, {\"name\": \"Lauri Malmi\", \"id\": 167813}, {\"name\": \"Ivandr\\u00e9 Paraboni\", \"id\": 38892}, {\"name\": \"Luciana Benotti\", \"id\": 16237}, {\"name\": \"Carlos Areces\", \"id\": 16622}, {\"name\": \"Andrew Gargett\", \"id\": 54032}, {\"name\": \"Konstantina Garoufi\", \"id\": 54033}, {\"name\": \"Alexander Koller\", \"id\": 54034}, {\"name\": \"Kristina Striegnitz\", \"id\": 54035}, {\"name\": \"Petri Ihantola\", \"id\": 139892}, {\"name\": \"Darla Magdalena Shockley\", \"id\": 15199}, {\"name\": \"Thomas L. Naps\", \"id\": 487645}, {\"name\": \"Laura Stoia\", \"id\": 15198}, {\"name\": \"Verena Rieser\", \"id\": 2015}], \"links\": [{\"source\": 78402, \"target\": 2015}, {\"source\": 78402, \"target\": 16237}, {\"source\": 78402, \"target\": 54033}, {\"source\": 78402, \"target\": 54034}, {\"source\": 167813, \"target\": 16237}, {\"source\": 167813, \"target\": 139892}, {\"source\": 167813, \"target\": 487645}, {\"source\": 38892, \"target\": 16237}, {\"source\": 16237, \"target\": 2015}, {\"source\": 16237, \"target\": 15198}, {\"source\": 16237, \"target\": 15199}, {\"source\": 16237, \"target\": 16622}, {\"source\": 16237, \"target\": 54032}, {\"source\": 16237, \"target\": 54033}, {\"source\": 16237, \"target\": 54034}, {\"source\": 16237, \"target\": 54035}, {\"source\": 16237, \"target\": 139892}, {\"source\": 16237, \"target\": 487645}, {\"source\": 16622, \"target\": 54034}, {\"source\": 54033, \"target\": 15198}, {\"source\": 54033, \"target\": 54034}, {\"source\": 54033, \"target\": 54035}, {\"source\": 54034, \"target\": 2015}, {\"source\": 54034, \"target\": 15198}, {\"source\": 54034, \"target\": 54035}, {\"source\": 139892, \"target\": 487645}]}",
"id": 140,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Johanna Moore, Lauri Malmi, Ivandré Paraboni, Luciana Benotti, Carlos Areces, Andrew Gargett, Konstantina Garoufi, Alexander Koller, Kristina Striegnitz, Petri Ihantola, Verena Rieser, Thomas L. Naps, Laura Stoia, Darla Magdalena Shockley\n- Research collaborations between these authors: Johanna Moore and Verena Rieser, Johanna Moore and Luciana Benotti, Johanna Moore and Konstantina Garoufi, Johanna Moore and Alexander Koller, Lauri Malmi and Luciana Benotti, Lauri Malmi and Petri Ihantola, Lauri Malmi and Thomas L. Naps, Ivandré Paraboni and Luciana Benotti, Luciana Benotti and Verena Rieser, Luciana Benotti and Laura Stoia, Luciana Benotti and Darla Magdalena Shockley, Luciana Benotti and Carlos Areces, Luciana Benotti and Andrew Gargett, Luciana Benotti and Konstantina Garoufi, Luciana Benotti and Alexander Koller, Luciana Benotti and Kristina Striegnitz, Luciana Benotti and Petri Ihantola, Luciana Benotti and Thomas L. Naps, Carlos Areces and Alexander Koller, Konstantina Garoufi and Laura Stoia, Konstantina Garoufi and Alexander Koller, Konstantina Garoufi and Kristina Striegnitz, Alexander Koller and Verena Rieser, Alexander Koller and Laura Stoia, Alexander Koller and Kristina Striegnitz, Petri Ihantola and Thomas L. Naps.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Matthew D. Higgins, Dominic C. O'Brien, Jean Armstrong, Roger J. Green, Moe Z. Win, Harald Haas, Baochun Li, Yunfei Chen, Muriel Medard, Mohsen Kavehrad, Shuo-Yen Robert Li, Ning Cai, Raymond W. Yeung, Volker Jungnickel\n- Research collaborations between these authors: Matthew D. Higgins and Roger J. Green, Matthew D. Higgins and Mohsen Kavehrad, Dominic C. O'Brien and Harald Haas, Dominic C. O'Brien and Roger J. Green, Dominic C. O'Brien and Jean Armstrong, Dominic C. O'Brien and Volker Jungnickel, Jean Armstrong and Harald Haas, Jean Armstrong and Roger J. Green, Jean Armstrong and Volker Jungnickel, Roger J. Green and Mohsen Kavehrad, Roger J. Green and Harald Haas, Roger J. Green and Muriel Medard, Roger J. Green and Raymond W. Yeung, Roger J. Green and Baochun Li, Roger J. Green and Shuo-Yen Robert Li, Roger J. Green and Ning Cai, Roger J. Green and Yunfei Chen, Roger J. Green and Moe Z. Win, Roger J. Green and Volker Jungnickel, Moe Z. Win and Harald Haas, Moe Z. Win and Yunfei Chen, Harald Haas and Mohsen Kavehrad, Harald Haas and Volker Jungnickel, Baochun Li and Muriel Medard, Baochun Li and Raymond W. Yeung, Baochun Li and Shuo-Yen Robert Li, Baochun Li and Ning Cai, Muriel Medard and Raymond W. Yeung, Muriel Medard and Shuo-Yen Robert Li, Muriel Medard and Ning Cai, Shuo-Yen Robert Li and Raymond W. Yeung, Shuo-Yen Robert Li and Ning Cai, Ning Cai and Raymond W. Yeung.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Matthew D. Higgins\", \"id\": 221635}, {\"name\": \"Dominic C. O'Brien\", \"id\": 355717}, {\"name\": \"Volker Jungnickel\", \"id\": 288222}, {\"name\": \"Jean Armstrong\", \"id\": 226311}, {\"name\": \"Ning Cai\", \"id\": 75771}, {\"name\": \"Roger J. Green\", \"id\": 27406}, {\"name\": \"Moe Z. Win\", \"id\": 257904}, {\"name\": \"Harald Haas\", \"id\": 11856}, {\"name\": \"Baochun Li\", \"id\": 44210}, {\"name\": \"Mohsen Kavehrad\", \"id\": 8313}, {\"name\": \"Shuo-Yen Robert Li\", \"id\": 75770}, {\"name\": \"Yunfei Chen\", \"id\": 228699}, {\"name\": \"Raymond W. Yeung\", \"id\": 31420}, {\"name\": \"Muriel Medard\", \"id\": 27582}], \"links\": [{\"source\": 221635, \"target\": 27406}, {\"source\": 221635, \"target\": 8313}, {\"source\": 355717, \"target\": 11856}, {\"source\": 355717, \"target\": 27406}, {\"source\": 355717, \"target\": 226311}, {\"source\": 355717, \"target\": 288222}, {\"source\": 288222, \"target\": 11856}, {\"source\": 288222, \"target\": 27406}, {\"source\": 288222, \"target\": 226311}, {\"source\": 226311, \"target\": 11856}, {\"source\": 226311, \"target\": 27406}, {\"source\": 75771, \"target\": 27406}, {\"source\": 75771, \"target\": 27582}, {\"source\": 75771, \"target\": 31420}, {\"source\": 75771, \"target\": 44210}, {\"source\": 75771, \"target\": 75770}, {\"source\": 27406, \"target\": 8313}, {\"source\": 27406, \"target\": 11856}, {\"source\": 27406, \"target\": 27582}, {\"source\": 27406, \"target\": 31420}, {\"source\": 27406, \"target\": 44210}, {\"source\": 27406, \"target\": 75770}, {\"source\": 27406, \"target\": 228699}, {\"source\": 27406, \"target\": 257904}, {\"source\": 257904, \"target\": 11856}, {\"source\": 257904, \"target\": 228699}, {\"source\": 11856, \"target\": 8313}, {\"source\": 44210, \"target\": 27582}, {\"source\": 44210, \"target\": 31420}, {\"source\": 44210, \"target\": 75770}, {\"source\": 75770, \"target\": 27582}, {\"source\": 75770, \"target\": 31420}, {\"source\": 31420, \"target\": 27582}]}",
"id": 480,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Matthew D. Higgins, Dominic C. O'Brien, Jean Armstrong, Roger J. Green, Moe Z. Win, Harald Haas, Baochun Li, Yunfei Chen, Muriel Medard, Mohsen Kavehrad, Shuo-Yen Robert Li, Ning Cai, Raymond W. Yeung, Volker Jungnickel\n- Research collaborations between these authors: Matthew D. Higgins and Roger J. Green, Matthew D. Higgins and Mohsen Kavehrad, Dominic C. O'Brien and Harald Haas, Dominic C. O'Brien and Roger J. Green, Dominic C. O'Brien and Jean Armstrong, Dominic C. O'Brien and Volker Jungnickel, Jean Armstrong and Harald Haas, Jean Armstrong and Roger J. Green, Jean Armstrong and Volker Jungnickel, Roger J. Green and Mohsen Kavehrad, Roger J. Green and Harald Haas, Roger J. Green and Muriel Medard, Roger J. Green and Raymond W. Yeung, Roger J. Green and Baochun Li, Roger J. Green and Shuo-Yen Robert Li, Roger J. Green and Ning Cai, Roger J. Green and Yunfei Chen, Roger J. Green and Moe Z. Win, Roger J. Green and Volker Jungnickel, Moe Z. Win and Harald Haas, Moe Z. Win and Yunfei Chen, Harald Haas and Mohsen Kavehrad, Harald Haas and Volker Jungnickel, Baochun Li and Muriel Medard, Baochun Li and Raymond W. Yeung, Baochun Li and Shuo-Yen Robert Li, Baochun Li and Ning Cai, Muriel Medard and Raymond W. Yeung, Muriel Medard and Shuo-Yen Robert Li, Muriel Medard and Ning Cai, Shuo-Yen Robert Li and Raymond W. Yeung, Shuo-Yen Robert Li and Ning Cai, Ning Cai and Raymond W. Yeung.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Michael B. Pursley, Georgios B. Giannakis, Jason S. Skinner, Michael A. Juang, Amin Shokrollahi, Michael Luby, Jason D. Ellis, Tiago Gasiba, Thomas C. Royster, Annamalai Annamalai, Thomas Stockhammer, Shengli Zhou, Mark Watson, Siddhartha S. Borkotoky\n- Research collaborations between these authors: Michael B. Pursley and Amin Shokrollahi, Michael B. Pursley and Georgios B. Giannakis, Michael B. Pursley and Michael Luby, Michael B. Pursley and Thomas Stockhammer, Michael B. Pursley and Tiago Gasiba, Michael B. Pursley and Mark Watson, Michael B. Pursley and Shengli Zhou, Michael B. Pursley and Jason S. Skinner, Michael B. Pursley and Michael A. Juang, Michael B. Pursley and Siddhartha S. Borkotoky, Michael B. Pursley and Jason D. Ellis, Michael B. Pursley and Thomas C. Royster, Michael B. Pursley and Annamalai Annamalai, Georgios B. Giannakis and Shengli Zhou, Georgios B. Giannakis and Annamalai Annamalai, Michael A. Juang and Siddhartha S. Borkotoky, Michael A. Juang and Jason D. Ellis, Amin Shokrollahi and Michael Luby, Amin Shokrollahi and Thomas Stockhammer, Amin Shokrollahi and Tiago Gasiba, Amin Shokrollahi and Jason D. Ellis, Michael Luby and Thomas Stockhammer, Michael Luby and Shengli Zhou, Michael Luby and Jason D. Ellis, Jason D. Ellis and Thomas Stockhammer, Jason D. Ellis and Tiago Gasiba, Jason D. Ellis and Mark Watson, Jason D. Ellis and Shengli Zhou, Jason D. Ellis and Thomas C. Royster, Tiago Gasiba and Thomas Stockhammer, Annamalai Annamalai and Shengli Zhou.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Michael B. Pursley\", \"id\": 12929}, {\"name\": \"Georgios B. Giannakis\", \"id\": 77571}, {\"name\": \"Jason S. Skinner\", \"id\": 410085}, {\"name\": \"Michael A. Juang\", \"id\": 463975}, {\"name\": \"Amin Shokrollahi\", \"id\": 69387}, {\"name\": \"Michael Luby\", \"id\": 168300}, {\"name\": \"Jason D. Ellis\", \"id\": 480621}, {\"name\": \"Tiago Gasiba\", \"id\": 342125}, {\"name\": \"Thomas C. Royster\", \"id\": 532689}, {\"name\": \"Annamalai Annamalai\", \"id\": 179281}, {\"name\": \"Thomas Stockhammer\", \"id\": 280022}, {\"name\": \"Shengli Zhou\", \"id\": 364792}, {\"name\": \"Mark Watson\", \"id\": 357850}, {\"name\": \"Siddhartha S. Borkotoky\", \"id\": 475647}], \"links\": [{\"source\": 12929, \"target\": 69387}, {\"source\": 12929, \"target\": 77571}, {\"source\": 12929, \"target\": 168300}, {\"source\": 12929, \"target\": 280022}, {\"source\": 12929, \"target\": 342125}, {\"source\": 12929, \"target\": 357850}, {\"source\": 12929, \"target\": 364792}, {\"source\": 12929, \"target\": 410085}, {\"source\": 12929, \"target\": 463975}, {\"source\": 12929, \"target\": 475647}, {\"source\": 12929, \"target\": 480621}, {\"source\": 12929, \"target\": 532689}, {\"source\": 12929, \"target\": 179281}, {\"source\": 77571, \"target\": 364792}, {\"source\": 77571, \"target\": 179281}, {\"source\": 463975, \"target\": 475647}, {\"source\": 463975, \"target\": 480621}, {\"source\": 69387, \"target\": 168300}, {\"source\": 69387, \"target\": 280022}, {\"source\": 69387, \"target\": 342125}, {\"source\": 69387, \"target\": 480621}, {\"source\": 168300, \"target\": 280022}, {\"source\": 168300, \"target\": 364792}, {\"source\": 168300, \"target\": 480621}, {\"source\": 480621, \"target\": 280022}, {\"source\": 480621, \"target\": 342125}, {\"source\": 480621, \"target\": 357850}, {\"source\": 480621, \"target\": 364792}, {\"source\": 480621, \"target\": 532689}, {\"source\": 342125, \"target\": 280022}, {\"source\": 179281, \"target\": 364792}]}",
"id": 2686,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Michael B. Pursley, Georgios B. Giannakis, Jason S. Skinner, Michael A. Juang, Amin Shokrollahi, Michael Luby, Jason D. Ellis, Tiago Gasiba, Thomas C. Royster, Annamalai Annamalai, Thomas Stockhammer, Shengli Zhou, Mark Watson, Siddhartha S. Borkotoky\n- Research collaborations between these authors: Michael B. Pursley and Amin Shokrollahi, Michael B. Pursley and Georgios B. Giannakis, Michael B. Pursley and Michael Luby, Michael B. Pursley and Thomas Stockhammer, Michael B. Pursley and Tiago Gasiba, Michael B. Pursley and Mark Watson, Michael B. Pursley and Shengli Zhou, Michael B. Pursley and Jason S. Skinner, Michael B. Pursley and Michael A. Juang, Michael B. Pursley and Siddhartha S. Borkotoky, Michael B. Pursley and Jason D. Ellis, Michael B. Pursley and Thomas C. Royster, Michael B. Pursley and Annamalai Annamalai, Georgios B. Giannakis and Shengli Zhou, Georgios B. Giannakis and Annamalai Annamalai, Michael A. Juang and Siddhartha S. Borkotoky, Michael A. Juang and Jason D. Ellis, Amin Shokrollahi and Michael Luby, Amin Shokrollahi and Thomas Stockhammer, Amin Shokrollahi and Tiago Gasiba, Amin Shokrollahi and Jason D. Ellis, Michael Luby and Thomas Stockhammer, Michael Luby and Shengli Zhou, Michael Luby and Jason D. Ellis, Jason D. Ellis and Thomas Stockhammer, Jason D. Ellis and Tiago Gasiba, Jason D. Ellis and Mark Watson, Jason D. Ellis and Shengli Zhou, Jason D. Ellis and Thomas C. Royster, Tiago Gasiba and Thomas Stockhammer, Annamalai Annamalai and Shengli Zhou.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Mark Greaves, Jonathan I. Maletic, Eleni Stroulia, Foutse Khomh, Mangala Gowri Nanda, Laura Giordano, Renee Elio, Oscar Corcho, Anastasia Analyti, Yannis Tzitzikas, Jeffrey M. Bradshaw, Heather Holmback, Peter McBurney, Simon Parsons\n- Research collaborations between these authors: Mark Greaves and Peter McBurney, Mark Greaves and Simon Parsons, Mark Greaves and Oscar Corcho, Mark Greaves and Laura Giordano, Mark Greaves and Renee Elio, Jonathan I. Maletic and Eleni Stroulia, Eleni Stroulia and Mangala Gowri Nanda, Eleni Stroulia and Renee Elio, Eleni Stroulia and Foutse Khomh, Mangala Gowri Nanda and Renee Elio, Laura Giordano and Simon Parsons, Renee Elio and Jeffrey M. Bradshaw, Renee Elio and Heather Holmback, Anastasia Analyti and Yannis Tzitzikas, Anastasia Analyti and Heather Holmback, Yannis Tzitzikas and Heather Holmback, Jeffrey M. Bradshaw and Peter McBurney, Jeffrey M. Bradshaw and Simon Parsons, Heather Holmback and Peter McBurney, Heather Holmback and Simon Parsons, Peter McBurney and Simon Parsons.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 3,
"style": "rule"
}
|
{
"exact_answer": 3,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Mark Greaves\", \"id\": 101926}, {\"name\": \"Jonathan I. Maletic\", \"id\": 187464}, {\"name\": \"Eleni Stroulia\", \"id\": 36300}, {\"name\": \"Laura Giordano\", \"id\": 33967}, {\"name\": \"Mangala Gowri Nanda\", \"id\": 97039}, {\"name\": \"Heather Holmback\", \"id\": 327162}, {\"name\": \"Renee Elio\", \"id\": 329780}, {\"name\": \"Oscar Corcho\", \"id\": 21493}, {\"name\": \"Jeffrey M. Bradshaw\", \"id\": 61145}, {\"name\": \"Yannis Tzitzikas\", \"id\": 34456}, {\"name\": \"Foutse Khomh\", \"id\": 114169}, {\"name\": \"Anastasia Analyti\", \"id\": 85658}, {\"name\": \"Peter McBurney\", \"id\": 15261}, {\"name\": \"Simon Parsons\", \"id\": 15262}], \"links\": [{\"source\": 101926, \"target\": 15261}, {\"source\": 101926, \"target\": 15262}, {\"source\": 101926, \"target\": 21493}, {\"source\": 101926, \"target\": 33967}, {\"source\": 101926, \"target\": 329780}, {\"source\": 187464, \"target\": 36300}, {\"source\": 36300, \"target\": 97039}, {\"source\": 36300, \"target\": 329780}, {\"source\": 36300, \"target\": 114169}, {\"source\": 33967, \"target\": 15262}, {\"source\": 97039, \"target\": 329780}, {\"source\": 327162, \"target\": 15261}, {\"source\": 327162, \"target\": 15262}, {\"source\": 327162, \"target\": 34456}, {\"source\": 327162, \"target\": 85658}, {\"source\": 327162, \"target\": 329780}, {\"source\": 329780, \"target\": 61145}, {\"source\": 61145, \"target\": 15261}, {\"source\": 61145, \"target\": 15262}, {\"source\": 34456, \"target\": 85658}, {\"source\": 15261, \"target\": 15262}]}",
"id": 1401,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Mark Greaves, Jonathan I. Maletic, Eleni Stroulia, Foutse Khomh, Mangala Gowri Nanda, Laura Giordano, Renee Elio, Oscar Corcho, Anastasia Analyti, Yannis Tzitzikas, Jeffrey M. Bradshaw, Heather Holmback, Peter McBurney, Simon Parsons\n- Research collaborations between these authors: Mark Greaves and Peter McBurney, Mark Greaves and Simon Parsons, Mark Greaves and Oscar Corcho, Mark Greaves and Laura Giordano, Mark Greaves and Renee Elio, Jonathan I. Maletic and Eleni Stroulia, Eleni Stroulia and Mangala Gowri Nanda, Eleni Stroulia and Renee Elio, Eleni Stroulia and Foutse Khomh, Mangala Gowri Nanda and Renee Elio, Laura Giordano and Simon Parsons, Renee Elio and Jeffrey M. Bradshaw, Renee Elio and Heather Holmback, Anastasia Analyti and Yannis Tzitzikas, Anastasia Analyti and Heather Holmback, Yannis Tzitzikas and Heather Holmback, Jeffrey M. Bradshaw and Peter McBurney, Jeffrey M. Bradshaw and Simon Parsons, Heather Holmback and Peter McBurney, Heather Holmback and Simon Parsons, Peter McBurney and Simon Parsons.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Marcus A. Brubaker, Rita Cucchiara, Nassir Navab, Adrian Hilton, Gabriele Fanelli, Pascal Fua, Nicu Sebe, Miodrag Dimitrijevic, Dirk Ormoneit, Matteo Munaro, Hedvig Sidenbladh, Andrea Fossati, Thomas Brox, Thibaut Weise\n- Research collaborations between these authors: Marcus A. Brubaker and Pascal Fua, Marcus A. Brubaker and Hedvig Sidenbladh, Marcus A. Brubaker and Andrea Fossati, Rita Cucchiara and Pascal Fua, Rita Cucchiara and Nicu Sebe, Rita Cucchiara and Andrea Fossati, Rita Cucchiara and Gabriele Fanelli, Rita Cucchiara and Adrian Hilton, Rita Cucchiara and Matteo Munaro, Nassir Navab and Thomas Brox, Nassir Navab and Adrian Hilton, Nassir Navab and Pascal Fua, Nassir Navab and Andrea Fossati, Adrian Hilton and Thomas Brox, Adrian Hilton and Pascal Fua, Adrian Hilton and Hedvig Sidenbladh, Adrian Hilton and Andrea Fossati, Gabriele Fanelli and Nicu Sebe, Gabriele Fanelli and Andrea Fossati, Gabriele Fanelli and Thibaut Weise, Pascal Fua and Thomas Brox, Pascal Fua and Dirk Ormoneit, Pascal Fua and Hedvig Sidenbladh, Pascal Fua and Miodrag Dimitrijevic, Pascal Fua and Nicu Sebe, Pascal Fua and Andrea Fossati, Nicu Sebe and Thomas Brox, Nicu Sebe and Thibaut Weise, Nicu Sebe and Andrea Fossati, Miodrag Dimitrijevic and Andrea Fossati, Miodrag Dimitrijevic and Hedvig Sidenbladh, Dirk Ormoneit and Andrea Fossati, Matteo Munaro and Andrea Fossati, Hedvig Sidenbladh and Thomas Brox, Hedvig Sidenbladh and Andrea Fossati, Andrea Fossati and Thomas Brox, Andrea Fossati and Thibaut Weise.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Marcus A. Brubaker\", \"id\": 56928}, {\"name\": \"Rita Cucchiara\", \"id\": 14241}, {\"name\": \"Nassir Navab\", \"id\": 12480}, {\"name\": \"Gabriele Fanelli\", \"id\": 406726}, {\"name\": \"Pascal Fua\", \"id\": 41577}, {\"name\": \"Nicu Sebe\", \"id\": 111371}, {\"name\": \"Miodrag Dimitrijevic\", \"id\": 1010960}, {\"name\": \"Dirk Ormoneit\", \"id\": 357590}, {\"name\": \"Matteo Munaro\", \"id\": 58873}, {\"name\": \"Hedvig Sidenbladh\", \"id\": 378939}, {\"name\": \"Adrian Hilton\", \"id\": 33532}, {\"name\": \"Thomas Brox\", \"id\": 12797}, {\"name\": \"Thibaut Weise\", \"id\": 102846}, {\"name\": \"Andrea Fossati\", \"id\": 125532}], \"links\": [{\"source\": 56928, \"target\": 41577}, {\"source\": 56928, \"target\": 378939}, {\"source\": 56928, \"target\": 125532}, {\"source\": 14241, \"target\": 41577}, {\"source\": 14241, \"target\": 111371}, {\"source\": 14241, \"target\": 125532}, {\"source\": 14241, \"target\": 406726}, {\"source\": 14241, \"target\": 33532}, {\"source\": 14241, \"target\": 58873}, {\"source\": 12480, \"target\": 12797}, {\"source\": 12480, \"target\": 33532}, {\"source\": 12480, \"target\": 41577}, {\"source\": 12480, \"target\": 125532}, {\"source\": 406726, \"target\": 111371}, {\"source\": 406726, \"target\": 125532}, {\"source\": 406726, \"target\": 102846}, {\"source\": 41577, \"target\": 12797}, {\"source\": 41577, \"target\": 33532}, {\"source\": 41577, \"target\": 357590}, {\"source\": 41577, \"target\": 378939}, {\"source\": 41577, \"target\": 1010960}, {\"source\": 41577, \"target\": 111371}, {\"source\": 41577, \"target\": 125532}, {\"source\": 111371, \"target\": 12797}, {\"source\": 111371, \"target\": 102846}, {\"source\": 111371, \"target\": 125532}, {\"source\": 1010960, \"target\": 125532}, {\"source\": 1010960, \"target\": 378939}, {\"source\": 357590, \"target\": 125532}, {\"source\": 58873, \"target\": 125532}, {\"source\": 378939, \"target\": 12797}, {\"source\": 378939, \"target\": 33532}, {\"source\": 378939, \"target\": 125532}, {\"source\": 33532, \"target\": 12797}, {\"source\": 33532, \"target\": 125532}, {\"source\": 12797, \"target\": 125532}, {\"source\": 102846, \"target\": 125532}]}",
"id": 1886,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Marcus A. Brubaker, Rita Cucchiara, Nassir Navab, Adrian Hilton, Gabriele Fanelli, Pascal Fua, Nicu Sebe, Miodrag Dimitrijevic, Dirk Ormoneit, Matteo Munaro, Hedvig Sidenbladh, Andrea Fossati, Thomas Brox, Thibaut Weise\n- Research collaborations between these authors: Marcus A. Brubaker and Pascal Fua, Marcus A. Brubaker and Hedvig Sidenbladh, Marcus A. Brubaker and Andrea Fossati, Rita Cucchiara and Pascal Fua, Rita Cucchiara and Nicu Sebe, Rita Cucchiara and Andrea Fossati, Rita Cucchiara and Gabriele Fanelli, Rita Cucchiara and Adrian Hilton, Rita Cucchiara and Matteo Munaro, Nassir Navab and Thomas Brox, Nassir Navab and Adrian Hilton, Nassir Navab and Pascal Fua, Nassir Navab and Andrea Fossati, Adrian Hilton and Thomas Brox, Adrian Hilton and Pascal Fua, Adrian Hilton and Hedvig Sidenbladh, Adrian Hilton and Andrea Fossati, Gabriele Fanelli and Nicu Sebe, Gabriele Fanelli and Andrea Fossati, Gabriele Fanelli and Thibaut Weise, Pascal Fua and Thomas Brox, Pascal Fua and Dirk Ormoneit, Pascal Fua and Hedvig Sidenbladh, Pascal Fua and Miodrag Dimitrijevic, Pascal Fua and Nicu Sebe, Pascal Fua and Andrea Fossati, Nicu Sebe and Thomas Brox, Nicu Sebe and Thibaut Weise, Nicu Sebe and Andrea Fossati, Miodrag Dimitrijevic and Andrea Fossati, Miodrag Dimitrijevic and Hedvig Sidenbladh, Dirk Ormoneit and Andrea Fossati, Matteo Munaro and Andrea Fossati, Hedvig Sidenbladh and Thomas Brox, Hedvig Sidenbladh and Andrea Fossati, Andrea Fossati and Thomas Brox, Andrea Fossati and Thibaut Weise.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hans A. Kestler, Dionisis Cavouras, Antti Niemistö, Olli-Pekka Smolander, Miika Ahdesmäki, Peng Li, Mehmet Tan, Reda Alhajj, Wei Zhang, Rui Zhu, Wentao Zhao, Matti Nykter, Olli Yli-Harja, Andre S. Ribeiro\n- Research collaborations between these authors: Hans A. Kestler and Olli Yli-Harja, Dionisis Cavouras and Olli Yli-Harja, Antti Niemistö and Olli Yli-Harja, Olli-Pekka Smolander and Olli Yli-Harja, Olli-Pekka Smolander and Andre S. Ribeiro, Miika Ahdesmäki and Reda Alhajj, Miika Ahdesmäki and Wentao Zhao, Miika Ahdesmäki and Olli Yli-Harja, Peng Li and Wei Zhang, Peng Li and Olli Yli-Harja, Mehmet Tan and Reda Alhajj, Mehmet Tan and Wei Zhang, Mehmet Tan and Olli Yli-Harja, Reda Alhajj and Wei Zhang, Reda Alhajj and Olli Yli-Harja, Wei Zhang and Olli Yli-Harja, Rui Zhu and Olli Yli-Harja, Rui Zhu and Andre S. Ribeiro, Wentao Zhao and Olli Yli-Harja, Matti Nykter and Olli Yli-Harja, Olli Yli-Harja and Andre S. Ribeiro.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hans A. Kestler\", \"id\": 19938}, {\"name\": \"Antti Niemist\\u00f6\", \"id\": 380486}, {\"name\": \"Olli-Pekka Smolander\", \"id\": 82343}, {\"name\": \"Miika Ahdesm\\u00e4ki\", \"id\": 422920}, {\"name\": \"Peng Li\", \"id\": 10856}, {\"name\": \"Mehmet Tan\", \"id\": 138246}, {\"name\": \"Olli Yli-Harja\", \"id\": 66969}, {\"name\": \"Andre S. Ribeiro\", \"id\": 66970}, {\"name\": \"Reda Alhajj\", \"id\": 6480}, {\"name\": \"Wei Zhang\", \"id\": 10714}, {\"name\": \"Rui Zhu\", \"id\": 89076}, {\"name\": \"Matti Nykter\", \"id\": 355992}, {\"name\": \"Wentao Zhao\", \"id\": 128825}, {\"name\": \"Dionisis Cavouras\", \"id\": 160826}], \"links\": [{\"source\": 19938, \"target\": 66969}, {\"source\": 380486, \"target\": 66969}, {\"source\": 82343, \"target\": 66969}, {\"source\": 82343, \"target\": 66970}, {\"source\": 422920, \"target\": 6480}, {\"source\": 422920, \"target\": 128825}, {\"source\": 422920, \"target\": 66969}, {\"source\": 10856, \"target\": 10714}, {\"source\": 10856, \"target\": 66969}, {\"source\": 138246, \"target\": 6480}, {\"source\": 138246, \"target\": 10714}, {\"source\": 138246, \"target\": 66969}, {\"source\": 66969, \"target\": 6480}, {\"source\": 66969, \"target\": 10714}, {\"source\": 66969, \"target\": 66970}, {\"source\": 66969, \"target\": 89076}, {\"source\": 66969, \"target\": 128825}, {\"source\": 66969, \"target\": 160826}, {\"source\": 66969, \"target\": 355992}, {\"source\": 66970, \"target\": 89076}, {\"source\": 6480, \"target\": 10714}]}",
"id": 588,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hans A. Kestler, Dionisis Cavouras, Antti Niemistö, Olli-Pekka Smolander, Miika Ahdesmäki, Peng Li, Mehmet Tan, Reda Alhajj, Wei Zhang, Rui Zhu, Wentao Zhao, Matti Nykter, Olli Yli-Harja, Andre S. Ribeiro\n- Research collaborations between these authors: Hans A. Kestler and Olli Yli-Harja, Dionisis Cavouras and Olli Yli-Harja, Antti Niemistö and Olli Yli-Harja, Olli-Pekka Smolander and Olli Yli-Harja, Olli-Pekka Smolander and Andre S. Ribeiro, Miika Ahdesmäki and Reda Alhajj, Miika Ahdesmäki and Wentao Zhao, Miika Ahdesmäki and Olli Yli-Harja, Peng Li and Wei Zhang, Peng Li and Olli Yli-Harja, Mehmet Tan and Reda Alhajj, Mehmet Tan and Wei Zhang, Mehmet Tan and Olli Yli-Harja, Reda Alhajj and Wei Zhang, Reda Alhajj and Olli Yli-Harja, Wei Zhang and Olli Yli-Harja, Rui Zhu and Olli Yli-Harja, Rui Zhu and Andre S. Ribeiro, Wentao Zhao and Olli Yli-Harja, Matti Nykter and Olli Yli-Harja, Olli Yli-Harja and Andre S. Ribeiro.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Muhammad Hamad Alizai, Goce Trajcevski, Peter Scheuermann, Dharmendra Sharma, Makoto Ikeda, Leonard Barolli, Arjan Durresi, Bhaskaran Raman, Jason O. Hallstrom, Omar Marcillo, Andrew R. Dalton, Tao Yang, Xu Huang, Muhammad R. Ahmed\n- Research collaborations between these authors: Muhammad Hamad Alizai and Omar Marcillo, Goce Trajcevski and Peter Scheuermann, Goce Trajcevski and Omar Marcillo, Peter Scheuermann and Omar Marcillo, Dharmendra Sharma and Xu Huang, Dharmendra Sharma and Muhammad R. Ahmed, Dharmendra Sharma and Omar Marcillo, Makoto Ikeda and Tao Yang, Makoto Ikeda and Leonard Barolli, Makoto Ikeda and Arjan Durresi, Makoto Ikeda and Omar Marcillo, Leonard Barolli and Tao Yang, Leonard Barolli and Arjan Durresi, Leonard Barolli and Omar Marcillo, Arjan Durresi and Tao Yang, Arjan Durresi and Omar Marcillo, Bhaskaran Raman and Omar Marcillo, Jason O. Hallstrom and Andrew R. Dalton, Jason O. Hallstrom and Omar Marcillo, Omar Marcillo and Xu Huang, Omar Marcillo and Tao Yang, Omar Marcillo and Andrew R. Dalton, Omar Marcillo and Muhammad R. Ahmed, Xu Huang and Muhammad R. Ahmed.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Muhammad Hamad Alizai\", \"id\": 441889}, {\"name\": \"Goce Trajcevski\", \"id\": 47139}, {\"name\": \"Peter Scheuermann\", \"id\": 47141}, {\"name\": \"Dharmendra Sharma\", \"id\": 28839}, {\"name\": \"Makoto Ikeda\", \"id\": 27820}, {\"name\": \"Leonard Barolli\", \"id\": 27821}, {\"name\": \"Arjan Durresi\", \"id\": 27823}, {\"name\": \"Bhaskaran Raman\", \"id\": 238579}, {\"name\": \"Jason O. Hallstrom\", \"id\": 89877}, {\"name\": \"Omar Marcillo\", \"id\": 1093749}, {\"name\": \"Andrew R. Dalton\", \"id\": 89878}, {\"name\": \"Tao Yang\", \"id\": 22582}, {\"name\": \"Xu Huang\", \"id\": 1433}, {\"name\": \"Muhammad R. Ahmed\", \"id\": 101531}], \"links\": [{\"source\": 441889, \"target\": 1093749}, {\"source\": 47139, \"target\": 47141}, {\"source\": 47139, \"target\": 1093749}, {\"source\": 47141, \"target\": 1093749}, {\"source\": 28839, \"target\": 1433}, {\"source\": 28839, \"target\": 101531}, {\"source\": 28839, \"target\": 1093749}, {\"source\": 27820, \"target\": 22582}, {\"source\": 27820, \"target\": 27821}, {\"source\": 27820, \"target\": 27823}, {\"source\": 27820, \"target\": 1093749}, {\"source\": 27821, \"target\": 22582}, {\"source\": 27821, \"target\": 27823}, {\"source\": 27821, \"target\": 1093749}, {\"source\": 27823, \"target\": 22582}, {\"source\": 27823, \"target\": 1093749}, {\"source\": 238579, \"target\": 1093749}, {\"source\": 89877, \"target\": 89878}, {\"source\": 89877, \"target\": 1093749}, {\"source\": 1093749, \"target\": 1433}, {\"source\": 1093749, \"target\": 22582}, {\"source\": 1093749, \"target\": 89878}, {\"source\": 1093749, \"target\": 101531}, {\"source\": 1433, \"target\": 101531}]}",
"id": 465,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Muhammad Hamad Alizai, Goce Trajcevski, Peter Scheuermann, Dharmendra Sharma, Makoto Ikeda, Leonard Barolli, Arjan Durresi, Bhaskaran Raman, Jason O. Hallstrom, Omar Marcillo, Andrew R. Dalton, Tao Yang, Xu Huang, Muhammad R. Ahmed\n- Research collaborations between these authors: Muhammad Hamad Alizai and Omar Marcillo, Goce Trajcevski and Peter Scheuermann, Goce Trajcevski and Omar Marcillo, Peter Scheuermann and Omar Marcillo, Dharmendra Sharma and Xu Huang, Dharmendra Sharma and Muhammad R. Ahmed, Dharmendra Sharma and Omar Marcillo, Makoto Ikeda and Tao Yang, Makoto Ikeda and Leonard Barolli, Makoto Ikeda and Arjan Durresi, Makoto Ikeda and Omar Marcillo, Leonard Barolli and Tao Yang, Leonard Barolli and Arjan Durresi, Leonard Barolli and Omar Marcillo, Arjan Durresi and Tao Yang, Arjan Durresi and Omar Marcillo, Bhaskaran Raman and Omar Marcillo, Jason O. Hallstrom and Andrew R. Dalton, Jason O. Hallstrom and Omar Marcillo, Omar Marcillo and Xu Huang, Omar Marcillo and Tao Yang, Omar Marcillo and Andrew R. Dalton, Omar Marcillo and Muhammad R. Ahmed, Xu Huang and Muhammad R. Ahmed.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Andreas F. Molisch, Alexandros G. Dimakis, Kyoung-Lae Noh, Georgios B. Giannakis, Mohamed-Slim Alouini, Khalid A. Qaraqe, A. Ben Abdellahi Ben Doua, Dong In Kim, Babak Hassibi, Ekram Hossain, Fernando Casadevall, Martin Haenggi, Miguel López-Benítez, Qing Zhao\n- Research collaborations between these authors: Andreas F. Molisch and Alexandros G. Dimakis, Andreas F. Molisch and Georgios B. Giannakis, Andreas F. Molisch and Ekram Hossain, Andreas F. Molisch and Dong In Kim, Andreas F. Molisch and Mohamed-Slim Alouini, Andreas F. Molisch and Babak Hassibi, Andreas F. Molisch and Khalid A. Qaraqe, Alexandros G. Dimakis and Babak Hassibi, Alexandros G. Dimakis and Mohamed-Slim Alouini, Kyoung-Lae Noh and Khalid A. Qaraqe, Georgios B. Giannakis and Mohamed-Slim Alouini, Georgios B. Giannakis and Babak Hassibi, Georgios B. Giannakis and Qing Zhao, Georgios B. Giannakis and Martin Haenggi, Georgios B. Giannakis and Ekram Hossain, Georgios B. Giannakis and Dong In Kim, Georgios B. Giannakis and Khalid A. Qaraqe, Mohamed-Slim Alouini and Miguel López-Benítez, Mohamed-Slim Alouini and Fernando Casadevall, Mohamed-Slim Alouini and Ekram Hossain, Mohamed-Slim Alouini and Dong In Kim, Mohamed-Slim Alouini and Babak Hassibi, Mohamed-Slim Alouini and Qing Zhao, Mohamed-Slim Alouini and Martin Haenggi, Mohamed-Slim Alouini and Khalid A. Qaraqe, Mohamed-Slim Alouini and A. Ben Abdellahi Ben Doua, Khalid A. Qaraqe and Miguel López-Benítez, Khalid A. Qaraqe and Fernando Casadevall, Khalid A. Qaraqe and Dong In Kim, Khalid A. Qaraqe and Ekram Hossain, Khalid A. Qaraqe and A. Ben Abdellahi Ben Doua, Dong In Kim and Ekram Hossain, Dong In Kim and Babak Hassibi, Dong In Kim and Qing Zhao, Babak Hassibi and Martin Haenggi, Ekram Hossain and Qing Zhao, Ekram Hossain and Martin Haenggi, Fernando Casadevall and Miguel López-Benítez, Fernando Casadevall and Qing Zhao, Miguel López-Benítez and Qing Zhao.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Andreas F. Molisch\", \"id\": 254049}, {\"name\": \"Alexandros G. Dimakis\", \"id\": 45314}, {\"name\": \"Georgios B. Giannakis\", \"id\": 77571}, {\"name\": \"Kyoung-Lae Noh\", \"id\": 768547}, {\"name\": \"Mohamed-Slim Alouini\", \"id\": 168043}, {\"name\": \"Khalid A. Qaraqe\", \"id\": 258892}, {\"name\": \"A. Ben Abdellahi Ben Doua\", \"id\": 1048813}, {\"name\": \"Dong In Kim\", \"id\": 136142}, {\"name\": \"Babak Hassibi\", \"id\": 186380}, {\"name\": \"Ekram Hossain\", \"id\": 136141}, {\"name\": \"Fernando Casadevall\", \"id\": 125968}, {\"name\": \"Martin Haenggi\", \"id\": 200082}, {\"name\": \"Miguel L\\u00f3pez-Ben\\u00edtez\", \"id\": 125967}, {\"name\": \"Qing Zhao\", \"id\": 188669}], \"links\": [{\"source\": 254049, \"target\": 45314}, {\"source\": 254049, \"target\": 77571}, {\"source\": 254049, \"target\": 136141}, {\"source\": 254049, \"target\": 136142}, {\"source\": 254049, \"target\": 168043}, {\"source\": 254049, \"target\": 186380}, {\"source\": 254049, \"target\": 258892}, {\"source\": 45314, \"target\": 186380}, {\"source\": 45314, \"target\": 168043}, {\"source\": 77571, \"target\": 168043}, {\"source\": 77571, \"target\": 186380}, {\"source\": 77571, \"target\": 188669}, {\"source\": 77571, \"target\": 200082}, {\"source\": 77571, \"target\": 136141}, {\"source\": 77571, \"target\": 136142}, {\"source\": 77571, \"target\": 258892}, {\"source\": 768547, \"target\": 258892}, {\"source\": 168043, \"target\": 125967}, {\"source\": 168043, \"target\": 125968}, {\"source\": 168043, \"target\": 136141}, {\"source\": 168043, \"target\": 136142}, {\"source\": 168043, \"target\": 186380}, {\"source\": 168043, \"target\": 188669}, {\"source\": 168043, \"target\": 200082}, {\"source\": 168043, \"target\": 258892}, {\"source\": 168043, \"target\": 1048813}, {\"source\": 258892, \"target\": 125967}, {\"source\": 258892, \"target\": 125968}, {\"source\": 258892, \"target\": 136142}, {\"source\": 258892, \"target\": 136141}, {\"source\": 258892, \"target\": 1048813}, {\"source\": 136142, \"target\": 136141}, {\"source\": 136142, \"target\": 186380}, {\"source\": 136142, \"target\": 188669}, {\"source\": 186380, \"target\": 200082}, {\"source\": 136141, \"target\": 188669}, {\"source\": 136141, \"target\": 200082}, {\"source\": 125968, \"target\": 125967}, {\"source\": 125968, \"target\": 188669}, {\"source\": 125967, \"target\": 188669}]}",
"id": 2785,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Andreas F. Molisch, Alexandros G. Dimakis, Kyoung-Lae Noh, Georgios B. Giannakis, Mohamed-Slim Alouini, Khalid A. Qaraqe, A. Ben Abdellahi Ben Doua, Dong In Kim, Babak Hassibi, Ekram Hossain, Fernando Casadevall, Martin Haenggi, Miguel López-Benítez, Qing Zhao\n- Research collaborations between these authors: Andreas F. Molisch and Alexandros G. Dimakis, Andreas F. Molisch and Georgios B. Giannakis, Andreas F. Molisch and Ekram Hossain, Andreas F. Molisch and Dong In Kim, Andreas F. Molisch and Mohamed-Slim Alouini, Andreas F. Molisch and Babak Hassibi, Andreas F. Molisch and Khalid A. Qaraqe, Alexandros G. Dimakis and Babak Hassibi, Alexandros G. Dimakis and Mohamed-Slim Alouini, Kyoung-Lae Noh and Khalid A. Qaraqe, Georgios B. Giannakis and Mohamed-Slim Alouini, Georgios B. Giannakis and Babak Hassibi, Georgios B. Giannakis and Qing Zhao, Georgios B. Giannakis and Martin Haenggi, Georgios B. Giannakis and Ekram Hossain, Georgios B. Giannakis and Dong In Kim, Georgios B. Giannakis and Khalid A. Qaraqe, Mohamed-Slim Alouini and Miguel López-Benítez, Mohamed-Slim Alouini and Fernando Casadevall, Mohamed-Slim Alouini and Ekram Hossain, Mohamed-Slim Alouini and Dong In Kim, Mohamed-Slim Alouini and Babak Hassibi, Mohamed-Slim Alouini and Qing Zhao, Mohamed-Slim Alouini and Martin Haenggi, Mohamed-Slim Alouini and Khalid A. Qaraqe, Mohamed-Slim Alouini and A. Ben Abdellahi Ben Doua, Khalid A. Qaraqe and Miguel López-Benítez, Khalid A. Qaraqe and Fernando Casadevall, Khalid A. Qaraqe and Dong In Kim, Khalid A. Qaraqe and Ekram Hossain, Khalid A. Qaraqe and A. Ben Abdellahi Ben Doua, Dong In Kim and Ekram Hossain, Dong In Kim and Babak Hassibi, Dong In Kim and Qing Zhao, Babak Hassibi and Martin Haenggi, Ekram Hossain and Qing Zhao, Ekram Hossain and Martin Haenggi, Fernando Casadevall and Miguel López-Benítez, Fernando Casadevall and Qing Zhao, Miguel López-Benítez and Qing Zhao.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Joël Goossens, David Ferry, Karthik Lakshmanan, Christopher D. Gill, Wfj Wim Verhaegh, Arne Skou, Syed Md Jakaria Abdullah, Konstantinos Bletsas, Claire Maiza, Sanjoy K. Baruah, Marco Di Natale, Marko Bertogna, Insup Lee, Insik Shin\n- Research collaborations between these authors: Joël Goossens and Konstantinos Bletsas, Joël Goossens and Christopher D. Gill, Joël Goossens and Sanjoy K. Baruah, Joël Goossens and Karthik Lakshmanan, Joël Goossens and Marko Bertogna, Joël Goossens and Insik Shin, Joël Goossens and David Ferry, David Ferry and Christopher D. Gill, David Ferry and Marko Bertogna, David Ferry and Sanjoy K. Baruah, David Ferry and Karthik Lakshmanan, David Ferry and Insik Shin, Karthik Lakshmanan and Konstantinos Bletsas, Karthik Lakshmanan and Christopher D. Gill, Karthik Lakshmanan and Marco Di Natale, Karthik Lakshmanan and Sanjoy K. Baruah, Karthik Lakshmanan and Marko Bertogna, Karthik Lakshmanan and Insik Shin, Christopher D. Gill and Insup Lee, Christopher D. Gill and Sanjoy K. Baruah, Christopher D. Gill and Marko Bertogna, Christopher D. Gill and Insik Shin, Wfj Wim Verhaegh and Marko Bertogna, Arne Skou and Insup Lee, Arne Skou and Insik Shin, Syed Md Jakaria Abdullah and Insup Lee, Syed Md Jakaria Abdullah and Sanjoy K. Baruah, Syed Md Jakaria Abdullah and Marko Bertogna, Syed Md Jakaria Abdullah and Insik Shin, Konstantinos Bletsas and Insup Lee, Konstantinos Bletsas and Sanjoy K. Baruah, Konstantinos Bletsas and Claire Maiza, Konstantinos Bletsas and Insik Shin, Claire Maiza and Marko Bertogna, Sanjoy K. Baruah and Insup Lee, Sanjoy K. Baruah and Marco Di Natale, Sanjoy K. Baruah and Marko Bertogna, Sanjoy K. Baruah and Insik Shin, Marko Bertogna and Insup Lee, Marko Bertogna and Insik Shin, Insup Lee and Insik Shin.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jo\\u00ebl Goossens\", \"id\": 11426}, {\"name\": \"David Ferry\", \"id\": 523750}, {\"name\": \"Karthik Lakshmanan\", \"id\": 110089}, {\"name\": \"Wfj Wim Verhaegh\", \"id\": 833391}, {\"name\": \"Arne Skou\", \"id\": 139921}, {\"name\": \"Syed Md Jakaria Abdullah\", \"id\": 586387}, {\"name\": \"Konstantinos Bletsas\", \"id\": 58293}, {\"name\": \"Claire Maiza\", \"id\": 468598}, {\"name\": \"Marko Bertogna\", \"id\": 192733}, {\"name\": \"Sanjoy K. Baruah\", \"id\": 78168}, {\"name\": \"Marco Di Natale\", \"id\": 77722}, {\"name\": \"Christopher D. Gill\", \"id\": 63421}, {\"name\": \"Insup Lee\", \"id\": 27390}, {\"name\": \"Insik Shin\", \"id\": 251135}], \"links\": [{\"source\": 11426, \"target\": 58293}, {\"source\": 11426, \"target\": 63421}, {\"source\": 11426, \"target\": 78168}, {\"source\": 11426, \"target\": 110089}, {\"source\": 11426, \"target\": 192733}, {\"source\": 11426, \"target\": 251135}, {\"source\": 11426, \"target\": 523750}, {\"source\": 523750, \"target\": 63421}, {\"source\": 523750, \"target\": 192733}, {\"source\": 523750, \"target\": 78168}, {\"source\": 523750, \"target\": 110089}, {\"source\": 523750, \"target\": 251135}, {\"source\": 110089, \"target\": 58293}, {\"source\": 110089, \"target\": 63421}, {\"source\": 110089, \"target\": 77722}, {\"source\": 110089, \"target\": 78168}, {\"source\": 110089, \"target\": 192733}, {\"source\": 110089, \"target\": 251135}, {\"source\": 833391, \"target\": 192733}, {\"source\": 139921, \"target\": 27390}, {\"source\": 139921, \"target\": 251135}, {\"source\": 586387, \"target\": 27390}, {\"source\": 586387, \"target\": 78168}, {\"source\": 586387, \"target\": 192733}, {\"source\": 586387, \"target\": 251135}, {\"source\": 58293, \"target\": 27390}, {\"source\": 58293, \"target\": 78168}, {\"source\": 58293, \"target\": 468598}, {\"source\": 58293, \"target\": 251135}, {\"source\": 468598, \"target\": 192733}, {\"source\": 192733, \"target\": 27390}, {\"source\": 192733, \"target\": 63421}, {\"source\": 192733, \"target\": 78168}, {\"source\": 192733, \"target\": 251135}, {\"source\": 78168, \"target\": 27390}, {\"source\": 78168, \"target\": 63421}, {\"source\": 78168, \"target\": 77722}, {\"source\": 78168, \"target\": 251135}, {\"source\": 63421, \"target\": 27390}, {\"source\": 63421, \"target\": 251135}, {\"source\": 27390, \"target\": 251135}]}",
"id": 185,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Joël Goossens, David Ferry, Karthik Lakshmanan, Christopher D. Gill, Wfj Wim Verhaegh, Arne Skou, Syed Md Jakaria Abdullah, Konstantinos Bletsas, Claire Maiza, Sanjoy K. Baruah, Marco Di Natale, Marko Bertogna, Insup Lee, Insik Shin\n- Research collaborations between these authors: Joël Goossens and Konstantinos Bletsas, Joël Goossens and Christopher D. Gill, Joël Goossens and Sanjoy K. Baruah, Joël Goossens and Karthik Lakshmanan, Joël Goossens and Marko Bertogna, Joël Goossens and Insik Shin, Joël Goossens and David Ferry, David Ferry and Christopher D. Gill, David Ferry and Marko Bertogna, David Ferry and Sanjoy K. Baruah, David Ferry and Karthik Lakshmanan, David Ferry and Insik Shin, Karthik Lakshmanan and Konstantinos Bletsas, Karthik Lakshmanan and Christopher D. Gill, Karthik Lakshmanan and Marco Di Natale, Karthik Lakshmanan and Sanjoy K. Baruah, Karthik Lakshmanan and Marko Bertogna, Karthik Lakshmanan and Insik Shin, Christopher D. Gill and Insup Lee, Christopher D. Gill and Sanjoy K. Baruah, Christopher D. Gill and Marko Bertogna, Christopher D. Gill and Insik Shin, Wfj Wim Verhaegh and Marko Bertogna, Arne Skou and Insup Lee, Arne Skou and Insik Shin, Syed Md Jakaria Abdullah and Insup Lee, Syed Md Jakaria Abdullah and Sanjoy K. Baruah, Syed Md Jakaria Abdullah and Marko Bertogna, Syed Md Jakaria Abdullah and Insik Shin, Konstantinos Bletsas and Insup Lee, Konstantinos Bletsas and Sanjoy K. Baruah, Konstantinos Bletsas and Claire Maiza, Konstantinos Bletsas and Insik Shin, Claire Maiza and Marko Bertogna, Sanjoy K. Baruah and Insup Lee, Sanjoy K. Baruah and Marco Di Natale, Sanjoy K. Baruah and Marko Bertogna, Sanjoy K. Baruah and Insik Shin, Marko Bertogna and Insup Lee, Marko Bertogna and Insik Shin, Insup Lee and Insik Shin.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hugo Silva, Po-Hsiang Lai, Jasenka Benac, Joseph A. O'Sullivan, David G. Politte, Bruce R. Whiting, David P. Wipf, Soysal Degirmenci, Dimitrios Hatzinakos, Steven A. Israel, Anil K. Jain, Jeffrey A. Fessler, Ana L. N. Fred, A. Lynn Abbott\n- Research collaborations between these authors: Hugo Silva and Ana L. N. Fred, Hugo Silva and Anil K. Jain, Hugo Silva and Steven A. Israel, Hugo Silva and Po-Hsiang Lai, Hugo Silva and Dimitrios Hatzinakos, Hugo Silva and Joseph A. O'Sullivan, Po-Hsiang Lai and Ana L. N. Fred, Po-Hsiang Lai and Steven A. Israel, Po-Hsiang Lai and Dimitrios Hatzinakos, Po-Hsiang Lai and Joseph A. O'Sullivan, Jasenka Benac and Joseph A. O'Sullivan, Jasenka Benac and David G. Politte, Jasenka Benac and Bruce R. Whiting, Jasenka Benac and Soysal Degirmenci, Joseph A. O'Sullivan and Ana L. N. Fred, Joseph A. O'Sullivan and A. Lynn Abbott, Joseph A. O'Sullivan and Dimitrios Hatzinakos, Joseph A. O'Sullivan and Anil K. Jain, Joseph A. O'Sullivan and David P. Wipf, Joseph A. O'Sullivan and Jeffrey A. Fessler, Joseph A. O'Sullivan and Steven A. Israel, Joseph A. O'Sullivan and David G. Politte, Joseph A. O'Sullivan and Soysal Degirmenci, David G. Politte and David P. Wipf, David G. Politte and Jeffrey A. Fessler, David P. Wipf and Soysal Degirmenci, Dimitrios Hatzinakos and Ana L. N. Fred, Dimitrios Hatzinakos and Anil K. Jain, Dimitrios Hatzinakos and Steven A. Israel, Steven A. Israel and Ana L. N. Fred, Anil K. Jain and Ana L. N. Fred, Anil K. Jain and A. Lynn Abbott.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hugo Silva\", \"id\": 23872}, {\"name\": \"Po-Hsiang Lai\", \"id\": 197441}, {\"name\": \"Jasenka Benac\", \"id\": 475685}, {\"name\": \"Joseph A. O'Sullivan\", \"id\": 452745}, {\"name\": \"David G. Politte\", \"id\": 452746}, {\"name\": \"Bruce R. Whiting\", \"id\": 452747}, {\"name\": \"David P. Wipf\", \"id\": 82126}, {\"name\": \"Soysal Degirmenci\", \"id\": 463055}, {\"name\": \"Dimitrios Hatzinakos\", \"id\": 235630}, {\"name\": \"Steven A. Israel\", \"id\": 150291}, {\"name\": \"Anil K. Jain\", \"id\": 28181}, {\"name\": \"Jeffrey A. Fessler\", \"id\": 124854}, {\"name\": \"Ana L. N. Fred\", \"id\": 12759}, {\"name\": \"A. Lynn Abbott\", \"id\": 104444}], \"links\": [{\"source\": 23872, \"target\": 12759}, {\"source\": 23872, \"target\": 28181}, {\"source\": 23872, \"target\": 150291}, {\"source\": 23872, \"target\": 197441}, {\"source\": 23872, \"target\": 235630}, {\"source\": 23872, \"target\": 452745}, {\"source\": 197441, \"target\": 12759}, {\"source\": 197441, \"target\": 150291}, {\"source\": 197441, \"target\": 235630}, {\"source\": 197441, \"target\": 452745}, {\"source\": 475685, \"target\": 452745}, {\"source\": 475685, \"target\": 452746}, {\"source\": 475685, \"target\": 452747}, {\"source\": 475685, \"target\": 463055}, {\"source\": 452745, \"target\": 12759}, {\"source\": 452745, \"target\": 104444}, {\"source\": 452745, \"target\": 235630}, {\"source\": 452745, \"target\": 28181}, {\"source\": 452745, \"target\": 82126}, {\"source\": 452745, \"target\": 124854}, {\"source\": 452745, \"target\": 150291}, {\"source\": 452745, \"target\": 452746}, {\"source\": 452745, \"target\": 463055}, {\"source\": 452746, \"target\": 82126}, {\"source\": 452746, \"target\": 124854}, {\"source\": 82126, \"target\": 463055}, {\"source\": 235630, \"target\": 12759}, {\"source\": 235630, \"target\": 28181}, {\"source\": 235630, \"target\": 150291}, {\"source\": 150291, \"target\": 12759}, {\"source\": 28181, \"target\": 12759}, {\"source\": 28181, \"target\": 104444}]}",
"id": 888,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hugo Silva, Po-Hsiang Lai, Jasenka Benac, Joseph A. O'Sullivan, David G. Politte, Bruce R. Whiting, David P. Wipf, Soysal Degirmenci, Dimitrios Hatzinakos, Steven A. Israel, Anil K. Jain, Jeffrey A. Fessler, Ana L. N. Fred, A. Lynn Abbott\n- Research collaborations between these authors: Hugo Silva and Ana L. N. Fred, Hugo Silva and Anil K. Jain, Hugo Silva and Steven A. Israel, Hugo Silva and Po-Hsiang Lai, Hugo Silva and Dimitrios Hatzinakos, Hugo Silva and Joseph A. O'Sullivan, Po-Hsiang Lai and Ana L. N. Fred, Po-Hsiang Lai and Steven A. Israel, Po-Hsiang Lai and Dimitrios Hatzinakos, Po-Hsiang Lai and Joseph A. O'Sullivan, Jasenka Benac and Joseph A. O'Sullivan, Jasenka Benac and David G. Politte, Jasenka Benac and Bruce R. Whiting, Jasenka Benac and Soysal Degirmenci, Joseph A. O'Sullivan and Ana L. N. Fred, Joseph A. O'Sullivan and A. Lynn Abbott, Joseph A. O'Sullivan and Dimitrios Hatzinakos, Joseph A. O'Sullivan and Anil K. Jain, Joseph A. O'Sullivan and David P. Wipf, Joseph A. O'Sullivan and Jeffrey A. Fessler, Joseph A. O'Sullivan and Steven A. Israel, Joseph A. O'Sullivan and David G. Politte, Joseph A. O'Sullivan and Soysal Degirmenci, David G. Politte and David P. Wipf, David G. Politte and Jeffrey A. Fessler, David P. Wipf and Soysal Degirmenci, Dimitrios Hatzinakos and Ana L. N. Fred, Dimitrios Hatzinakos and Anil K. Jain, Dimitrios Hatzinakos and Steven A. Israel, Steven A. Israel and Ana L. N. Fred, Anil K. Jain and Ana L. N. Fred, Anil K. Jain and A. Lynn Abbott.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hiroaki Kitano, Minoru Kanehisa, Intawat Nookaew, Bernhard O. Palsson, Costas D. Maranas, Michael Hucka, Falk Schreiber, Roded Sharan, Peter D. Karp, Mario Latendresse, Jens Nielsen, Suzanne M. Paley, Patrick F. Suthers, Daniel Weaver\n- Research collaborations between these authors: Hiroaki Kitano and Falk Schreiber, Hiroaki Kitano and Michael Hucka, Hiroaki Kitano and Jens Nielsen, Hiroaki Kitano and Bernhard O. Palsson, Hiroaki Kitano and Intawat Nookaew, Minoru Kanehisa and Falk Schreiber, Minoru Kanehisa and Roded Sharan, Minoru Kanehisa and Jens Nielsen, Minoru Kanehisa and Peter D. Karp, Minoru Kanehisa and Mario Latendresse, Minoru Kanehisa and Bernhard O. Palsson, Minoru Kanehisa and Costas D. Maranas, Minoru Kanehisa and Suzanne M. Paley, Intawat Nookaew and Jens Nielsen, Intawat Nookaew and Michael Hucka, Intawat Nookaew and Bernhard O. Palsson, Bernhard O. Palsson and Roded Sharan, Bernhard O. Palsson and Jens Nielsen, Bernhard O. Palsson and Peter D. Karp, Bernhard O. Palsson and Michael Hucka, Bernhard O. Palsson and Costas D. Maranas, Bernhard O. Palsson and Suzanne M. Paley, Bernhard O. Palsson and Daniel Weaver, Bernhard O. Palsson and Patrick F. Suthers, Costas D. Maranas and Peter D. Karp, Costas D. Maranas and Daniel Weaver, Costas D. Maranas and Jens Nielsen, Costas D. Maranas and Mario Latendresse, Costas D. Maranas and Patrick F. Suthers, Costas D. Maranas and Suzanne M. Paley, Michael Hucka and Falk Schreiber, Michael Hucka and Jens Nielsen, Falk Schreiber and Peter D. Karp, Falk Schreiber and Suzanne M. Paley, Peter D. Karp and Mario Latendresse, Peter D. Karp and Suzanne M. Paley, Peter D. Karp and Daniel Weaver, Peter D. Karp and Patrick F. Suthers, Mario Latendresse and Suzanne M. Paley, Mario Latendresse and Daniel Weaver, Suzanne M. Paley and Daniel Weaver, Suzanne M. Paley and Patrick F. Suthers.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 5,
"style": "rule"
}
|
{
"exact_answer": 5,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hiroaki Kitano\", \"id\": 98208}, {\"name\": \"Minoru Kanehisa\", \"id\": 388642}, {\"name\": \"Intawat Nookaew\", \"id\": 529797}, {\"name\": \"Costas D. Maranas\", \"id\": 553415}, {\"name\": \"Michael Hucka\", \"id\": 333288}, {\"name\": \"Falk Schreiber\", \"id\": 81352}, {\"name\": \"Roded Sharan\", \"id\": 114859}, {\"name\": \"Peter D. Karp\", \"id\": 303887}, {\"name\": \"Mario Latendresse\", \"id\": 391601}, {\"name\": \"Jens Nielsen\", \"id\": 235411}, {\"name\": \"Bernhard O. Palsson\", \"id\": 398458}, {\"name\": \"Patrick F. Suthers\", \"id\": 603517}, {\"name\": \"Daniel Weaver\", \"id\": 460382}, {\"name\": \"Suzanne M. Paley\", \"id\": 669594}], \"links\": [{\"source\": 98208, \"target\": 81352}, {\"source\": 98208, \"target\": 333288}, {\"source\": 98208, \"target\": 235411}, {\"source\": 98208, \"target\": 398458}, {\"source\": 98208, \"target\": 529797}, {\"source\": 388642, \"target\": 81352}, {\"source\": 388642, \"target\": 114859}, {\"source\": 388642, \"target\": 235411}, {\"source\": 388642, \"target\": 303887}, {\"source\": 388642, \"target\": 391601}, {\"source\": 388642, \"target\": 398458}, {\"source\": 388642, \"target\": 553415}, {\"source\": 388642, \"target\": 669594}, {\"source\": 529797, \"target\": 235411}, {\"source\": 529797, \"target\": 333288}, {\"source\": 529797, \"target\": 398458}, {\"source\": 553415, \"target\": 303887}, {\"source\": 553415, \"target\": 398458}, {\"source\": 553415, \"target\": 460382}, {\"source\": 553415, \"target\": 235411}, {\"source\": 553415, \"target\": 391601}, {\"source\": 553415, \"target\": 603517}, {\"source\": 553415, \"target\": 669594}, {\"source\": 333288, \"target\": 81352}, {\"source\": 333288, \"target\": 235411}, {\"source\": 333288, \"target\": 398458}, {\"source\": 81352, \"target\": 303887}, {\"source\": 81352, \"target\": 669594}, {\"source\": 114859, \"target\": 398458}, {\"source\": 303887, \"target\": 391601}, {\"source\": 303887, \"target\": 669594}, {\"source\": 303887, \"target\": 398458}, {\"source\": 303887, \"target\": 460382}, {\"source\": 303887, \"target\": 603517}, {\"source\": 391601, \"target\": 669594}, {\"source\": 391601, \"target\": 460382}, {\"source\": 235411, \"target\": 398458}, {\"source\": 398458, \"target\": 669594}, {\"source\": 398458, \"target\": 460382}, {\"source\": 398458, \"target\": 603517}, {\"source\": 603517, \"target\": 669594}, {\"source\": 460382, \"target\": 669594}]}",
"id": 201,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hiroaki Kitano, Minoru Kanehisa, Intawat Nookaew, Bernhard O. Palsson, Costas D. Maranas, Michael Hucka, Falk Schreiber, Roded Sharan, Peter D. Karp, Mario Latendresse, Jens Nielsen, Suzanne M. Paley, Patrick F. Suthers, Daniel Weaver\n- Research collaborations between these authors: Hiroaki Kitano and Falk Schreiber, Hiroaki Kitano and Michael Hucka, Hiroaki Kitano and Jens Nielsen, Hiroaki Kitano and Bernhard O. Palsson, Hiroaki Kitano and Intawat Nookaew, Minoru Kanehisa and Falk Schreiber, Minoru Kanehisa and Roded Sharan, Minoru Kanehisa and Jens Nielsen, Minoru Kanehisa and Peter D. Karp, Minoru Kanehisa and Mario Latendresse, Minoru Kanehisa and Bernhard O. Palsson, Minoru Kanehisa and Costas D. Maranas, Minoru Kanehisa and Suzanne M. Paley, Intawat Nookaew and Jens Nielsen, Intawat Nookaew and Michael Hucka, Intawat Nookaew and Bernhard O. Palsson, Bernhard O. Palsson and Roded Sharan, Bernhard O. Palsson and Jens Nielsen, Bernhard O. Palsson and Peter D. Karp, Bernhard O. Palsson and Michael Hucka, Bernhard O. Palsson and Costas D. Maranas, Bernhard O. Palsson and Suzanne M. Paley, Bernhard O. Palsson and Daniel Weaver, Bernhard O. Palsson and Patrick F. Suthers, Costas D. Maranas and Peter D. Karp, Costas D. Maranas and Daniel Weaver, Costas D. Maranas and Jens Nielsen, Costas D. Maranas and Mario Latendresse, Costas D. Maranas and Patrick F. Suthers, Costas D. Maranas and Suzanne M. Paley, Michael Hucka and Falk Schreiber, Michael Hucka and Jens Nielsen, Falk Schreiber and Peter D. Karp, Falk Schreiber and Suzanne M. Paley, Peter D. Karp and Mario Latendresse, Peter D. Karp and Suzanne M. Paley, Peter D. Karp and Daniel Weaver, Peter D. Karp and Patrick F. Suthers, Mario Latendresse and Suzanne M. Paley, Mario Latendresse and Daniel Weaver, Suzanne M. Paley and Daniel Weaver, Suzanne M. Paley and Patrick F. Suthers.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jose Rodriguez, Klaus Kabitzsch, Karsten Menzel, Joern Ploennigs, Ammar Ahmed, Wolfgang Kastner, S. Soucek, H. Newmann, Steffen Wendzel, Georg Neugschwandtner, Henrik Dibowski, Luca Durante, Adriano Valenzano, Wolfgang Granzer\n- Research collaborations between these authors: Klaus Kabitzsch and Wolfgang Kastner, Klaus Kabitzsch and Joern Ploennigs, Klaus Kabitzsch and Henrik Dibowski, Klaus Kabitzsch and Georg Neugschwandtner, Klaus Kabitzsch and S. Soucek, Klaus Kabitzsch and H. Newmann, Karsten Menzel and Ammar Ahmed, Karsten Menzel and Joern Ploennigs, Joern Ploennigs and Ammar Ahmed, Joern Ploennigs and Wolfgang Kastner, Joern Ploennigs and Henrik Dibowski, Joern Ploennigs and Georg Neugschwandtner, Joern Ploennigs and S. Soucek, Joern Ploennigs and H. Newmann, Wolfgang Kastner and Steffen Wendzel, Wolfgang Kastner and Luca Durante, Wolfgang Kastner and Adriano Valenzano, Wolfgang Kastner and Wolfgang Granzer, Wolfgang Kastner and Georg Neugschwandtner, Wolfgang Kastner and S. Soucek, Wolfgang Kastner and H. Newmann, S. Soucek and Wolfgang Granzer, H. Newmann and Wolfgang Granzer, Steffen Wendzel and Wolfgang Granzer, Georg Neugschwandtner and Wolfgang Granzer, Luca Durante and Adriano Valenzano, Luca Durante and Wolfgang Granzer, Adriano Valenzano and Wolfgang Granzer.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 4,
"style": "rule"
}
|
{
"exact_answer": 4,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Jose Rodriguez\", \"id\": 100032}, {\"name\": \"Klaus Kabitzsch\", \"id\": 163268}, {\"name\": \"Karsten Menzel\", \"id\": 95687}, {\"name\": \"Ammar Ahmed\", \"id\": 281900}, {\"name\": \"Joern Ploennigs\", \"id\": 373804}, {\"name\": \"Luca Durante\", \"id\": 52220}, {\"name\": \"Wolfgang Kastner\", \"id\": 122643}, {\"name\": \"S. Soucek\", \"id\": 1156116}, {\"name\": \"H. Newmann\", \"id\": 1156117}, {\"name\": \"Steffen Wendzel\", \"id\": 22680}, {\"name\": \"Georg Neugschwandtner\", \"id\": 1063834}, {\"name\": \"Henrik Dibowski\", \"id\": 651740}, {\"name\": \"Adriano Valenzano\", \"id\": 52222}, {\"name\": \"Wolfgang Granzer\", \"id\": 361887}], \"links\": [{\"source\": 163268, \"target\": 122643}, {\"source\": 163268, \"target\": 373804}, {\"source\": 163268, \"target\": 651740}, {\"source\": 163268, \"target\": 1063834}, {\"source\": 163268, \"target\": 1156116}, {\"source\": 163268, \"target\": 1156117}, {\"source\": 95687, \"target\": 281900}, {\"source\": 95687, \"target\": 373804}, {\"source\": 281900, \"target\": 373804}, {\"source\": 373804, \"target\": 122643}, {\"source\": 373804, \"target\": 651740}, {\"source\": 373804, \"target\": 1063834}, {\"source\": 373804, \"target\": 1156116}, {\"source\": 373804, \"target\": 1156117}, {\"source\": 52220, \"target\": 52222}, {\"source\": 52220, \"target\": 122643}, {\"source\": 52220, \"target\": 361887}, {\"source\": 122643, \"target\": 22680}, {\"source\": 122643, \"target\": 52222}, {\"source\": 122643, \"target\": 361887}, {\"source\": 122643, \"target\": 1063834}, {\"source\": 122643, \"target\": 1156116}, {\"source\": 122643, \"target\": 1156117}, {\"source\": 1156116, \"target\": 361887}, {\"source\": 1156117, \"target\": 361887}, {\"source\": 22680, \"target\": 361887}, {\"source\": 1063834, \"target\": 361887}, {\"source\": 52222, \"target\": 361887}]}",
"id": 1557,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Jose Rodriguez, Klaus Kabitzsch, Karsten Menzel, Joern Ploennigs, Ammar Ahmed, Wolfgang Kastner, S. Soucek, H. Newmann, Steffen Wendzel, Georg Neugschwandtner, Henrik Dibowski, Luca Durante, Adriano Valenzano, Wolfgang Granzer\n- Research collaborations between these authors: Klaus Kabitzsch and Wolfgang Kastner, Klaus Kabitzsch and Joern Ploennigs, Klaus Kabitzsch and Henrik Dibowski, Klaus Kabitzsch and Georg Neugschwandtner, Klaus Kabitzsch and S. Soucek, Klaus Kabitzsch and H. Newmann, Karsten Menzel and Ammar Ahmed, Karsten Menzel and Joern Ploennigs, Joern Ploennigs and Ammar Ahmed, Joern Ploennigs and Wolfgang Kastner, Joern Ploennigs and Henrik Dibowski, Joern Ploennigs and Georg Neugschwandtner, Joern Ploennigs and S. Soucek, Joern Ploennigs and H. Newmann, Wolfgang Kastner and Steffen Wendzel, Wolfgang Kastner and Luca Durante, Wolfgang Kastner and Adriano Valenzano, Wolfgang Kastner and Wolfgang Granzer, Wolfgang Kastner and Georg Neugschwandtner, Wolfgang Kastner and S. Soucek, Wolfgang Kastner and H. Newmann, S. Soucek and Wolfgang Granzer, H. Newmann and Wolfgang Granzer, Steffen Wendzel and Wolfgang Granzer, Georg Neugschwandtner and Wolfgang Granzer, Luca Durante and Adriano Valenzano, Luca Durante and Wolfgang Granzer, Adriano Valenzano and Wolfgang Granzer.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Noah A. Smith, Timothy J. O'Donnell, Thomas L. Griffiths, James R. Glass, Ewan Dunbar, Claire Cardie, Sharon Goldwater, Geoffrey E. Hinton, Mark Johnson, Jason Eisner, M. Johnson, Benjamin Van Durme, Herman Kamper, Daniel N. Klein\n- Research collaborations between these authors: Noah A. Smith and Daniel N. Klein, Noah A. Smith and Claire Cardie, Noah A. Smith and Geoffrey E. Hinton, Noah A. Smith and Jason Eisner, Noah A. Smith and Mark Johnson, Noah A. Smith and Thomas L. Griffiths, Noah A. Smith and M. Johnson, Noah A. Smith and Sharon Goldwater, Noah A. Smith and Benjamin Van Durme, Timothy J. O'Donnell and Sharon Goldwater, Timothy J. O'Donnell and Herman Kamper, Timothy J. O'Donnell and Daniel N. Klein, Timothy J. O'Donnell and James R. Glass, Timothy J. O'Donnell and Mark Johnson, Timothy J. O'Donnell and Thomas L. Griffiths, Timothy J. O'Donnell and M. Johnson, Thomas L. Griffiths and Geoffrey E. Hinton, Thomas L. Griffiths and Daniel N. Klein, Thomas L. Griffiths and James R. Glass, Thomas L. Griffiths and Jason Eisner, Thomas L. Griffiths and Benjamin Van Durme, Thomas L. Griffiths and Mark Johnson, Thomas L. Griffiths and Sharon Goldwater, Thomas L. Griffiths and M. Johnson, James R. Glass and Geoffrey E. Hinton, James R. Glass and Benjamin Van Durme, James R. Glass and Mark Johnson, James R. Glass and Sharon Goldwater, James R. Glass and Herman Kamper, Ewan Dunbar and Sharon Goldwater, Ewan Dunbar and Herman Kamper, Claire Cardie and Daniel N. Klein, Claire Cardie and Geoffrey E. Hinton, Sharon Goldwater and Daniel N. Klein, Sharon Goldwater and Jason Eisner, Sharon Goldwater and Mark Johnson, Sharon Goldwater and M. Johnson, Sharon Goldwater and Benjamin Van Durme, Sharon Goldwater and Herman Kamper, Mark Johnson and Daniel N. Klein, Mark Johnson and Jason Eisner, Mark Johnson and M. Johnson, Jason Eisner and Daniel N. Klein, Jason Eisner and Benjamin Van Durme, M. Johnson and Daniel N. Klein, Benjamin Van Durme and Daniel N. Klein, Benjamin Van Durme and Herman Kamper.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Noah A. Smith\", \"id\": 24225}, {\"name\": \"Timothy J. O'Donnell\", \"id\": 426723}, {\"name\": \"Thomas L. Griffiths\", \"id\": 116200}, {\"name\": \"James R. Glass\", \"id\": 24140}, {\"name\": \"Ewan Dunbar\", \"id\": 752877}, {\"name\": \"Claire Cardie\", \"id\": 19795}, {\"name\": \"Sharon Goldwater\", \"id\": 223284}, {\"name\": \"Geoffrey E. Hinton\", \"id\": 4500}, {\"name\": \"Mark Johnson\", \"id\": 97686}, {\"name\": \"Jason Eisner\", \"id\": 76085}, {\"name\": \"M. Johnson\", \"id\": 212602}, {\"name\": \"Benjamin Van Durme\", \"id\": 91868}, {\"name\": \"Herman Kamper\", \"id\": 325565}, {\"name\": \"Daniel N. Klein\", \"id\": 5023}], \"links\": [{\"source\": 24225, \"target\": 5023}, {\"source\": 24225, \"target\": 19795}, {\"source\": 24225, \"target\": 4500}, {\"source\": 24225, \"target\": 76085}, {\"source\": 24225, \"target\": 97686}, {\"source\": 24225, \"target\": 116200}, {\"source\": 24225, \"target\": 212602}, {\"source\": 24225, \"target\": 223284}, {\"source\": 24225, \"target\": 91868}, {\"source\": 426723, \"target\": 223284}, {\"source\": 426723, \"target\": 325565}, {\"source\": 426723, \"target\": 5023}, {\"source\": 426723, \"target\": 24140}, {\"source\": 426723, \"target\": 97686}, {\"source\": 426723, \"target\": 116200}, {\"source\": 426723, \"target\": 212602}, {\"source\": 116200, \"target\": 4500}, {\"source\": 116200, \"target\": 5023}, {\"source\": 116200, \"target\": 24140}, {\"source\": 116200, \"target\": 76085}, {\"source\": 116200, \"target\": 91868}, {\"source\": 116200, \"target\": 97686}, {\"source\": 116200, \"target\": 223284}, {\"source\": 116200, \"target\": 212602}, {\"source\": 24140, \"target\": 4500}, {\"source\": 24140, \"target\": 91868}, {\"source\": 24140, \"target\": 97686}, {\"source\": 24140, \"target\": 223284}, {\"source\": 24140, \"target\": 325565}, {\"source\": 752877, \"target\": 223284}, {\"source\": 752877, \"target\": 325565}, {\"source\": 19795, \"target\": 5023}, {\"source\": 19795, \"target\": 4500}, {\"source\": 223284, \"target\": 5023}, {\"source\": 223284, \"target\": 76085}, {\"source\": 223284, \"target\": 97686}, {\"source\": 223284, \"target\": 212602}, {\"source\": 223284, \"target\": 91868}, {\"source\": 223284, \"target\": 325565}, {\"source\": 97686, \"target\": 5023}, {\"source\": 97686, \"target\": 76085}, {\"source\": 97686, \"target\": 212602}, {\"source\": 76085, \"target\": 5023}, {\"source\": 76085, \"target\": 91868}, {\"source\": 212602, \"target\": 5023}, {\"source\": 91868, \"target\": 5023}, {\"source\": 91868, \"target\": 325565}]}",
"id": 1297,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Noah A. Smith, Timothy J. O'Donnell, Thomas L. Griffiths, James R. Glass, Ewan Dunbar, Claire Cardie, Sharon Goldwater, Geoffrey E. Hinton, Mark Johnson, Jason Eisner, M. Johnson, Benjamin Van Durme, Herman Kamper, Daniel N. Klein\n- Research collaborations between these authors: Noah A. Smith and Daniel N. Klein, Noah A. Smith and Claire Cardie, Noah A. Smith and Geoffrey E. Hinton, Noah A. Smith and Jason Eisner, Noah A. Smith and Mark Johnson, Noah A. Smith and Thomas L. Griffiths, Noah A. Smith and M. Johnson, Noah A. Smith and Sharon Goldwater, Noah A. Smith and Benjamin Van Durme, Timothy J. O'Donnell and Sharon Goldwater, Timothy J. O'Donnell and Herman Kamper, Timothy J. O'Donnell and Daniel N. Klein, Timothy J. O'Donnell and James R. Glass, Timothy J. O'Donnell and Mark Johnson, Timothy J. O'Donnell and Thomas L. Griffiths, Timothy J. O'Donnell and M. Johnson, Thomas L. Griffiths and Geoffrey E. Hinton, Thomas L. Griffiths and Daniel N. Klein, Thomas L. Griffiths and James R. Glass, Thomas L. Griffiths and Jason Eisner, Thomas L. Griffiths and Benjamin Van Durme, Thomas L. Griffiths and Mark Johnson, Thomas L. Griffiths and Sharon Goldwater, Thomas L. Griffiths and M. Johnson, James R. Glass and Geoffrey E. Hinton, James R. Glass and Benjamin Van Durme, James R. Glass and Mark Johnson, James R. Glass and Sharon Goldwater, James R. Glass and Herman Kamper, Ewan Dunbar and Sharon Goldwater, Ewan Dunbar and Herman Kamper, Claire Cardie and Daniel N. Klein, Claire Cardie and Geoffrey E. Hinton, Sharon Goldwater and Daniel N. Klein, Sharon Goldwater and Jason Eisner, Sharon Goldwater and Mark Johnson, Sharon Goldwater and M. Johnson, Sharon Goldwater and Benjamin Van Durme, Sharon Goldwater and Herman Kamper, Mark Johnson and Daniel N. Klein, Mark Johnson and Jason Eisner, Mark Johnson and M. Johnson, Jason Eisner and Daniel N. Klein, Jason Eisner and Benjamin Van Durme, M. Johnson and Daniel N. Klein, Benjamin Van Durme and Daniel N. Klein, Benjamin Van Durme and Herman Kamper.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Egon C. Pasztor, Stanley Osher, Christophe Garcia, Fadoua Drira, Hiêp Quang Luong, Alessandro Foi, David L. Donoho, Michael T. Orchard, Wilfried Philips, Emmanuel J. Candès, Junjun Jiang, Antoni Buades, Bart Goossens, Adel M. Alimi\n- Research collaborations between these authors: Egon C. Pasztor and Adel M. Alimi, Egon C. Pasztor and Wilfried Philips, Egon C. Pasztor and Fadoua Drira, Egon C. Pasztor and Hiêp Quang Luong, Stanley Osher and Wilfried Philips, Stanley Osher and Emmanuel J. Candès, Stanley Osher and Antoni Buades, Stanley Osher and David L. Donoho, Stanley Osher and Hiêp Quang Luong, Stanley Osher and Alessandro Foi, Stanley Osher and Bart Goossens, Christophe Garcia and Adel M. Alimi, Christophe Garcia and Wilfried Philips, Christophe Garcia and Fadoua Drira, Christophe Garcia and Hiêp Quang Luong, Christophe Garcia and Michael T. Orchard, Fadoua Drira and Adel M. Alimi, Fadoua Drira and Wilfried Philips, Fadoua Drira and Hiêp Quang Luong, Fadoua Drira and Michael T. Orchard, Hiêp Quang Luong and Adel M. Alimi, Hiêp Quang Luong and Wilfried Philips, Hiêp Quang Luong and Junjun Jiang, Hiêp Quang Luong and Emmanuel J. Candès, Hiêp Quang Luong and Antoni Buades, Hiêp Quang Luong and Alessandro Foi, Hiêp Quang Luong and Michael T. Orchard, Hiêp Quang Luong and Bart Goossens, Hiêp Quang Luong and David L. Donoho, Alessandro Foi and Wilfried Philips, Alessandro Foi and Antoni Buades, Alessandro Foi and David L. Donoho, Alessandro Foi and Bart Goossens, David L. Donoho and Wilfried Philips, David L. Donoho and Emmanuel J. Candès, David L. Donoho and Bart Goossens, Michael T. Orchard and Adel M. Alimi, Michael T. Orchard and Wilfried Philips, Wilfried Philips and Adel M. Alimi, Wilfried Philips and Emmanuel J. Candès, Wilfried Philips and Antoni Buades, Wilfried Philips and Bart Goossens, Wilfried Philips and Junjun Jiang, Emmanuel J. Candès and Bart Goossens, Antoni Buades and Bart Goossens.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Egon C. Pasztor\", \"id\": 245251}, {\"name\": \"Stanley Osher\", \"id\": 28133}, {\"name\": \"Christophe Garcia\", \"id\": 7946}, {\"name\": \"Fadoua Drira\", \"id\": 125963}, {\"name\": \"Hi\\u00eap Quang Luong\", \"id\": 142639}, {\"name\": \"Alessandro Foi\", \"id\": 301072}, {\"name\": \"David L. Donoho\", \"id\": 372209}, {\"name\": \"Michael T. Orchard\", \"id\": 302288}, {\"name\": \"Wilfried Philips\", \"id\": 25651}, {\"name\": \"Emmanuel J. Cand\\u00e8s\", \"id\": 256756}, {\"name\": \"Junjun Jiang\", \"id\": 27955}, {\"name\": \"Antoni Buades\", \"id\": 271540}, {\"name\": \"Bart Goossens\", \"id\": 307739}, {\"name\": \"Adel M. Alimi\", \"id\": 8541}], \"links\": [{\"source\": 245251, \"target\": 8541}, {\"source\": 245251, \"target\": 25651}, {\"source\": 245251, \"target\": 125963}, {\"source\": 245251, \"target\": 142639}, {\"source\": 28133, \"target\": 25651}, {\"source\": 28133, \"target\": 256756}, {\"source\": 28133, \"target\": 271540}, {\"source\": 28133, \"target\": 372209}, {\"source\": 28133, \"target\": 142639}, {\"source\": 28133, \"target\": 301072}, {\"source\": 28133, \"target\": 307739}, {\"source\": 7946, \"target\": 8541}, {\"source\": 7946, \"target\": 25651}, {\"source\": 7946, \"target\": 125963}, {\"source\": 7946, \"target\": 142639}, {\"source\": 7946, \"target\": 302288}, {\"source\": 125963, \"target\": 8541}, {\"source\": 125963, \"target\": 25651}, {\"source\": 125963, \"target\": 142639}, {\"source\": 125963, \"target\": 302288}, {\"source\": 142639, \"target\": 8541}, {\"source\": 142639, \"target\": 25651}, {\"source\": 142639, \"target\": 27955}, {\"source\": 142639, \"target\": 256756}, {\"source\": 142639, \"target\": 271540}, {\"source\": 142639, \"target\": 301072}, {\"source\": 142639, \"target\": 302288}, {\"source\": 142639, \"target\": 307739}, {\"source\": 142639, \"target\": 372209}, {\"source\": 301072, \"target\": 25651}, {\"source\": 301072, \"target\": 271540}, {\"source\": 301072, \"target\": 372209}, {\"source\": 301072, \"target\": 307739}, {\"source\": 372209, \"target\": 25651}, {\"source\": 372209, \"target\": 256756}, {\"source\": 372209, \"target\": 307739}, {\"source\": 302288, \"target\": 8541}, {\"source\": 302288, \"target\": 25651}, {\"source\": 25651, \"target\": 8541}, {\"source\": 25651, \"target\": 256756}, {\"source\": 25651, \"target\": 271540}, {\"source\": 25651, \"target\": 307739}, {\"source\": 25651, \"target\": 27955}, {\"source\": 256756, \"target\": 307739}, {\"source\": 271540, \"target\": 307739}]}",
"id": 2228,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Egon C. Pasztor, Stanley Osher, Christophe Garcia, Fadoua Drira, Hiêp Quang Luong, Alessandro Foi, David L. Donoho, Michael T. Orchard, Wilfried Philips, Emmanuel J. Candès, Junjun Jiang, Antoni Buades, Bart Goossens, Adel M. Alimi\n- Research collaborations between these authors: Egon C. Pasztor and Adel M. Alimi, Egon C. Pasztor and Wilfried Philips, Egon C. Pasztor and Fadoua Drira, Egon C. Pasztor and Hiêp Quang Luong, Stanley Osher and Wilfried Philips, Stanley Osher and Emmanuel J. Candès, Stanley Osher and Antoni Buades, Stanley Osher and David L. Donoho, Stanley Osher and Hiêp Quang Luong, Stanley Osher and Alessandro Foi, Stanley Osher and Bart Goossens, Christophe Garcia and Adel M. Alimi, Christophe Garcia and Wilfried Philips, Christophe Garcia and Fadoua Drira, Christophe Garcia and Hiêp Quang Luong, Christophe Garcia and Michael T. Orchard, Fadoua Drira and Adel M. Alimi, Fadoua Drira and Wilfried Philips, Fadoua Drira and Hiêp Quang Luong, Fadoua Drira and Michael T. Orchard, Hiêp Quang Luong and Adel M. Alimi, Hiêp Quang Luong and Wilfried Philips, Hiêp Quang Luong and Junjun Jiang, Hiêp Quang Luong and Emmanuel J. Candès, Hiêp Quang Luong and Antoni Buades, Hiêp Quang Luong and Alessandro Foi, Hiêp Quang Luong and Michael T. Orchard, Hiêp Quang Luong and Bart Goossens, Hiêp Quang Luong and David L. Donoho, Alessandro Foi and Wilfried Philips, Alessandro Foi and Antoni Buades, Alessandro Foi and David L. Donoho, Alessandro Foi and Bart Goossens, David L. Donoho and Wilfried Philips, David L. Donoho and Emmanuel J. Candès, David L. Donoho and Bart Goossens, Michael T. Orchard and Adel M. Alimi, Michael T. Orchard and Wilfried Philips, Wilfried Philips and Adel M. Alimi, Wilfried Philips and Emmanuel J. Candès, Wilfried Philips and Antoni Buades, Wilfried Philips and Bart Goossens, Wilfried Philips and Junjun Jiang, Emmanuel J. Candès and Bart Goossens, Antoni Buades and Bart Goossens.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Abdelbaset S. Hamza, Dennis R. Alexander, Costin Raiciu, Donald F. Towsley, Darren R. Flower, Sen Su, Mark Handley, Ion Stoica, Lian Wang, Yong Cui, Robert Morris, Sudipta Sengupta, Ramachandran Ramjee, Hongyi Wang\n- Research collaborations between these authors: Abdelbaset S. Hamza and Hongyi Wang, Abdelbaset S. Hamza and Yong Cui, Abdelbaset S. Hamza and Dennis R. Alexander, Dennis R. Alexander and Hongyi Wang, Dennis R. Alexander and Yong Cui, Costin Raiciu and Hongyi Wang, Costin Raiciu and Donald F. Towsley, Costin Raiciu and Yong Cui, Costin Raiciu and Ion Stoica, Costin Raiciu and Robert Morris, Costin Raiciu and Sudipta Sengupta, Costin Raiciu and Mark Handley, Costin Raiciu and Ramachandran Ramjee, Costin Raiciu and Lian Wang, Donald F. Towsley and Ion Stoica, Donald F. Towsley and Robert Morris, Donald F. Towsley and Mark Handley, Donald F. Towsley and Ramachandran Ramjee, Donald F. Towsley and Yong Cui, Donald F. Towsley and Sudipta Sengupta, Darren R. Flower and Lian Wang, Sen Su and Ion Stoica, Mark Handley and Hongyi Wang, Mark Handley and Ion Stoica, Mark Handley and Yong Cui, Mark Handley and Robert Morris, Mark Handley and Lian Wang, Ion Stoica and Robert Morris, Ion Stoica and Sudipta Sengupta, Ion Stoica and Yong Cui, Lian Wang and Yong Cui, Lian Wang and Hongyi Wang, Yong Cui and Hongyi Wang, Yong Cui and Robert Morris, Yong Cui and Sudipta Sengupta, Yong Cui and Ramachandran Ramjee, Robert Morris and Sudipta Sengupta, Sudipta Sengupta and Hongyi Wang, Ramachandran Ramjee and Hongyi Wang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Abdelbaset S. Hamza\", \"id\": 798306}, {\"name\": \"Dennis R. Alexander\", \"id\": 798307}, {\"name\": \"Costin Raiciu\", \"id\": 215879}, {\"name\": \"Donald F. Towsley\", \"id\": 11272}, {\"name\": \"Darren R. Flower\", \"id\": 261994}, {\"name\": \"Sen Su\", \"id\": 39151}, {\"name\": \"Mark Handley\", \"id\": 225425}, {\"name\": \"Ion Stoica\", \"id\": 19443}, {\"name\": \"Lian Wang\", \"id\": 259797}, {\"name\": \"Yong Cui\", \"id\": 25846}, {\"name\": \"Robert Morris\", \"id\": 70391}, {\"name\": \"Sudipta Sengupta\", \"id\": 219066}, {\"name\": \"Ramachandran Ramjee\", \"id\": 264540}, {\"name\": \"Hongyi Wang\", \"id\": 10398}], \"links\": [{\"source\": 798306, \"target\": 10398}, {\"source\": 798306, \"target\": 25846}, {\"source\": 798306, \"target\": 798307}, {\"source\": 798307, \"target\": 10398}, {\"source\": 798307, \"target\": 25846}, {\"source\": 215879, \"target\": 10398}, {\"source\": 215879, \"target\": 11272}, {\"source\": 215879, \"target\": 25846}, {\"source\": 215879, \"target\": 19443}, {\"source\": 215879, \"target\": 70391}, {\"source\": 215879, \"target\": 219066}, {\"source\": 215879, \"target\": 225425}, {\"source\": 215879, \"target\": 264540}, {\"source\": 215879, \"target\": 259797}, {\"source\": 11272, \"target\": 19443}, {\"source\": 11272, \"target\": 70391}, {\"source\": 11272, \"target\": 225425}, {\"source\": 11272, \"target\": 264540}, {\"source\": 11272, \"target\": 25846}, {\"source\": 11272, \"target\": 219066}, {\"source\": 261994, \"target\": 259797}, {\"source\": 39151, \"target\": 19443}, {\"source\": 225425, \"target\": 10398}, {\"source\": 225425, \"target\": 19443}, {\"source\": 225425, \"target\": 25846}, {\"source\": 225425, \"target\": 70391}, {\"source\": 225425, \"target\": 259797}, {\"source\": 19443, \"target\": 70391}, {\"source\": 19443, \"target\": 219066}, {\"source\": 19443, \"target\": 25846}, {\"source\": 259797, \"target\": 25846}, {\"source\": 259797, \"target\": 10398}, {\"source\": 25846, \"target\": 10398}, {\"source\": 25846, \"target\": 70391}, {\"source\": 25846, \"target\": 219066}, {\"source\": 25846, \"target\": 264540}, {\"source\": 70391, \"target\": 219066}, {\"source\": 219066, \"target\": 10398}, {\"source\": 264540, \"target\": 10398}]}",
"id": 2514,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Abdelbaset S. Hamza, Dennis R. Alexander, Costin Raiciu, Donald F. Towsley, Darren R. Flower, Sen Su, Mark Handley, Ion Stoica, Lian Wang, Yong Cui, Robert Morris, Sudipta Sengupta, Ramachandran Ramjee, Hongyi Wang\n- Research collaborations between these authors: Abdelbaset S. Hamza and Hongyi Wang, Abdelbaset S. Hamza and Yong Cui, Abdelbaset S. Hamza and Dennis R. Alexander, Dennis R. Alexander and Hongyi Wang, Dennis R. Alexander and Yong Cui, Costin Raiciu and Hongyi Wang, Costin Raiciu and Donald F. Towsley, Costin Raiciu and Yong Cui, Costin Raiciu and Ion Stoica, Costin Raiciu and Robert Morris, Costin Raiciu and Sudipta Sengupta, Costin Raiciu and Mark Handley, Costin Raiciu and Ramachandran Ramjee, Costin Raiciu and Lian Wang, Donald F. Towsley and Ion Stoica, Donald F. Towsley and Robert Morris, Donald F. Towsley and Mark Handley, Donald F. Towsley and Ramachandran Ramjee, Donald F. Towsley and Yong Cui, Donald F. Towsley and Sudipta Sengupta, Darren R. Flower and Lian Wang, Sen Su and Ion Stoica, Mark Handley and Hongyi Wang, Mark Handley and Ion Stoica, Mark Handley and Yong Cui, Mark Handley and Robert Morris, Mark Handley and Lian Wang, Ion Stoica and Robert Morris, Ion Stoica and Sudipta Sengupta, Ion Stoica and Yong Cui, Lian Wang and Yong Cui, Lian Wang and Hongyi Wang, Yong Cui and Hongyi Wang, Yong Cui and Robert Morris, Yong Cui and Sudipta Sengupta, Yong Cui and Ramachandran Ramjee, Robert Morris and Sudipta Sengupta, Sudipta Sengupta and Hongyi Wang, Ramachandran Ramjee and Hongyi Wang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Luis Sentis, Marco Hutter, Olivier Stasse, Francesco Nori, Darwin G. Caldwell, Shuuji Kajita, Siddhartha S. Srinivasa, Kenji Kaneko, Gerd Hirzinger, Nikolaus Vahrenkamp, Oussama Khatib, Jairo Sanchez, Kazuhito Yokoi, Claude Andriot\n- Research collaborations between these authors: Luis Sentis and Nikolaus Vahrenkamp, Luis Sentis and Darwin G. Caldwell, Luis Sentis and Kazuhito Yokoi, Luis Sentis and Oussama Khatib, Luis Sentis and Gerd Hirzinger, Luis Sentis and Claude Andriot, Luis Sentis and Siddhartha S. Srinivasa, Luis Sentis and Shuuji Kajita, Luis Sentis and Kenji Kaneko, Luis Sentis and Francesco Nori, Luis Sentis and Olivier Stasse, Luis Sentis and Marco Hutter, Luis Sentis and Jairo Sanchez, Marco Hutter and Darwin G. Caldwell, Marco Hutter and Oussama Khatib, Olivier Stasse and Darwin G. Caldwell, Olivier Stasse and Kazuhito Yokoi, Olivier Stasse and Gerd Hirzinger, Olivier Stasse and Oussama Khatib, Olivier Stasse and Shuuji Kajita, Olivier Stasse and Kenji Kaneko, Francesco Nori and Darwin G. Caldwell, Francesco Nori and Kazuhito Yokoi, Francesco Nori and Oussama Khatib, Francesco Nori and Gerd Hirzinger, Francesco Nori and Shuuji Kajita, Francesco Nori and Kenji Kaneko, Darwin G. Caldwell and Kazuhito Yokoi, Darwin G. Caldwell and Oussama Khatib, Darwin G. Caldwell and Gerd Hirzinger, Darwin G. Caldwell and Siddhartha S. Srinivasa, Darwin G. Caldwell and Shuuji Kajita, Darwin G. Caldwell and Kenji Kaneko, Shuuji Kajita and Nikolaus Vahrenkamp, Shuuji Kajita and Kazuhito Yokoi, Shuuji Kajita and Oussama Khatib, Shuuji Kajita and Gerd Hirzinger, Shuuji Kajita and Claude Andriot, Shuuji Kajita and Siddhartha S. Srinivasa, Shuuji Kajita and Kenji Kaneko, Siddhartha S. Srinivasa and Nikolaus Vahrenkamp, Siddhartha S. Srinivasa and Oussama Khatib, Siddhartha S. Srinivasa and Gerd Hirzinger, Siddhartha S. Srinivasa and Kazuhito Yokoi, Siddhartha S. Srinivasa and Kenji Kaneko, Kenji Kaneko and Nikolaus Vahrenkamp, Kenji Kaneko and Kazuhito Yokoi, Kenji Kaneko and Oussama Khatib, Kenji Kaneko and Gerd Hirzinger, Kenji Kaneko and Claude Andriot, Gerd Hirzinger and Nikolaus Vahrenkamp, Gerd Hirzinger and Kazuhito Yokoi, Gerd Hirzinger and Oussama Khatib, Nikolaus Vahrenkamp and Oussama Khatib, Oussama Khatib and Kazuhito Yokoi, Oussama Khatib and Claude Andriot.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Luis Sentis\", \"id\": 305346}, {\"name\": \"Marco Hutter\", \"id\": 430947}, {\"name\": \"Olivier Stasse\", \"id\": 282056}, {\"name\": \"Darwin G. Caldwell\", \"id\": 29354}, {\"name\": \"Shuuji Kajita\", \"id\": 159501}, {\"name\": \"Siddhartha S. Srinivasa\", \"id\": 129933}, {\"name\": \"Kenji Kaneko\", \"id\": 159502}, {\"name\": \"Gerd Hirzinger\", \"id\": 90896}, {\"name\": \"Nikolaus Vahrenkamp\", \"id\": 22257}, {\"name\": \"Oussama Khatib\", \"id\": 65298}, {\"name\": \"Kazuhito Yokoi\", \"id\": 51737}, {\"name\": \"Jairo Sanchez\", \"id\": 443477}, {\"name\": \"Francesco Nori\", \"id\": 271737}, {\"name\": \"Claude Andriot\", \"id\": 126042}], \"links\": [{\"source\": 305346, \"target\": 22257}, {\"source\": 305346, \"target\": 29354}, {\"source\": 305346, \"target\": 51737}, {\"source\": 305346, \"target\": 65298}, {\"source\": 305346, \"target\": 90896}, {\"source\": 305346, \"target\": 126042}, {\"source\": 305346, \"target\": 129933}, {\"source\": 305346, \"target\": 159501}, {\"source\": 305346, \"target\": 159502}, {\"source\": 305346, \"target\": 271737}, {\"source\": 305346, \"target\": 282056}, {\"source\": 305346, \"target\": 430947}, {\"source\": 305346, \"target\": 443477}, {\"source\": 430947, \"target\": 29354}, {\"source\": 430947, \"target\": 65298}, {\"source\": 282056, \"target\": 29354}, {\"source\": 282056, \"target\": 51737}, {\"source\": 282056, \"target\": 90896}, {\"source\": 282056, \"target\": 65298}, {\"source\": 282056, \"target\": 159501}, {\"source\": 282056, \"target\": 159502}, {\"source\": 29354, \"target\": 51737}, {\"source\": 29354, \"target\": 65298}, {\"source\": 29354, \"target\": 90896}, {\"source\": 29354, \"target\": 129933}, {\"source\": 29354, \"target\": 159501}, {\"source\": 29354, \"target\": 159502}, {\"source\": 29354, \"target\": 271737}, {\"source\": 159501, \"target\": 22257}, {\"source\": 159501, \"target\": 51737}, {\"source\": 159501, \"target\": 65298}, {\"source\": 159501, \"target\": 90896}, {\"source\": 159501, \"target\": 126042}, {\"source\": 159501, \"target\": 129933}, {\"source\": 159501, \"target\": 159502}, {\"source\": 159501, \"target\": 271737}, {\"source\": 129933, \"target\": 22257}, {\"source\": 129933, \"target\": 65298}, {\"source\": 129933, \"target\": 90896}, {\"source\": 129933, \"target\": 51737}, {\"source\": 129933, \"target\": 159502}, {\"source\": 159502, \"target\": 22257}, {\"source\": 159502, \"target\": 51737}, {\"source\": 159502, \"target\": 65298}, {\"source\": 159502, \"target\": 90896}, {\"source\": 159502, \"target\": 126042}, {\"source\": 159502, \"target\": 271737}, {\"source\": 90896, \"target\": 22257}, {\"source\": 90896, \"target\": 51737}, {\"source\": 90896, \"target\": 65298}, {\"source\": 90896, \"target\": 271737}, {\"source\": 22257, \"target\": 65298}, {\"source\": 65298, \"target\": 51737}, {\"source\": 65298, \"target\": 126042}, {\"source\": 65298, \"target\": 271737}, {\"source\": 51737, \"target\": 271737}]}",
"id": 1963,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Luis Sentis, Marco Hutter, Olivier Stasse, Francesco Nori, Darwin G. Caldwell, Shuuji Kajita, Siddhartha S. Srinivasa, Kenji Kaneko, Gerd Hirzinger, Nikolaus Vahrenkamp, Oussama Khatib, Jairo Sanchez, Kazuhito Yokoi, Claude Andriot\n- Research collaborations between these authors: Luis Sentis and Nikolaus Vahrenkamp, Luis Sentis and Darwin G. Caldwell, Luis Sentis and Kazuhito Yokoi, Luis Sentis and Oussama Khatib, Luis Sentis and Gerd Hirzinger, Luis Sentis and Claude Andriot, Luis Sentis and Siddhartha S. Srinivasa, Luis Sentis and Shuuji Kajita, Luis Sentis and Kenji Kaneko, Luis Sentis and Francesco Nori, Luis Sentis and Olivier Stasse, Luis Sentis and Marco Hutter, Luis Sentis and Jairo Sanchez, Marco Hutter and Darwin G. Caldwell, Marco Hutter and Oussama Khatib, Olivier Stasse and Darwin G. Caldwell, Olivier Stasse and Kazuhito Yokoi, Olivier Stasse and Gerd Hirzinger, Olivier Stasse and Oussama Khatib, Olivier Stasse and Shuuji Kajita, Olivier Stasse and Kenji Kaneko, Francesco Nori and Darwin G. Caldwell, Francesco Nori and Kazuhito Yokoi, Francesco Nori and Oussama Khatib, Francesco Nori and Gerd Hirzinger, Francesco Nori and Shuuji Kajita, Francesco Nori and Kenji Kaneko, Darwin G. Caldwell and Kazuhito Yokoi, Darwin G. Caldwell and Oussama Khatib, Darwin G. Caldwell and Gerd Hirzinger, Darwin G. Caldwell and Siddhartha S. Srinivasa, Darwin G. Caldwell and Shuuji Kajita, Darwin G. Caldwell and Kenji Kaneko, Shuuji Kajita and Nikolaus Vahrenkamp, Shuuji Kajita and Kazuhito Yokoi, Shuuji Kajita and Oussama Khatib, Shuuji Kajita and Gerd Hirzinger, Shuuji Kajita and Claude Andriot, Shuuji Kajita and Siddhartha S. Srinivasa, Shuuji Kajita and Kenji Kaneko, Siddhartha S. Srinivasa and Nikolaus Vahrenkamp, Siddhartha S. Srinivasa and Oussama Khatib, Siddhartha S. Srinivasa and Gerd Hirzinger, Siddhartha S. Srinivasa and Kazuhito Yokoi, Siddhartha S. Srinivasa and Kenji Kaneko, Kenji Kaneko and Nikolaus Vahrenkamp, Kenji Kaneko and Kazuhito Yokoi, Kenji Kaneko and Oussama Khatib, Kenji Kaneko and Gerd Hirzinger, Kenji Kaneko and Claude Andriot, Gerd Hirzinger and Nikolaus Vahrenkamp, Gerd Hirzinger and Kazuhito Yokoi, Gerd Hirzinger and Oussama Khatib, Nikolaus Vahrenkamp and Oussama Khatib, Oussama Khatib and Kazuhito Yokoi, Oussama Khatib and Claude Andriot.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Yigal Gerchak, Chie-Wun Chiou, Guo Li, Shoshana Anily, Igor Rochlin, Fernando Bernstein, Abraham Grosfeld-Nir, Hsi-Mei Hsu, Muh-Cherng Wu, Wen-Jen Chang, David Sarne, Yunzeng Wang, T-S Su, Xu Guan\n- Research collaborations between these authors: Yigal Gerchak and Guo Li, Yigal Gerchak and Yunzeng Wang, Yigal Gerchak and Abraham Grosfeld-Nir, Yigal Gerchak and Fernando Bernstein, Yigal Gerchak and Muh-Cherng Wu, Yigal Gerchak and Hsi-Mei Hsu, Yigal Gerchak and Xu Guan, Chie-Wun Chiou and Muh-Cherng Wu, Chie-Wun Chiou and Wen-Jen Chang, Shoshana Anily and Abraham Grosfeld-Nir, Igor Rochlin and David Sarne, Igor Rochlin and Abraham Grosfeld-Nir, Fernando Bernstein and Yunzeng Wang, Abraham Grosfeld-Nir and David Sarne, Abraham Grosfeld-Nir and Muh-Cherng Wu, Abraham Grosfeld-Nir and Hsi-Mei Hsu, Abraham Grosfeld-Nir and T-S Su, Muh-Cherng Wu and Wen-Jen Chang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 3,
"style": "rule"
}
|
{
"exact_answer": 3,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Yigal Gerchak\", \"id\": 527489}, {\"name\": \"Chie-Wun Chiou\", \"id\": 845829}, {\"name\": \"Guo Li\", \"id\": 119498}, {\"name\": \"Shoshana Anily\", \"id\": 694187}, {\"name\": \"Igor Rochlin\", \"id\": 211850}, {\"name\": \"Fernando Bernstein\", \"id\": 506829}, {\"name\": \"Abraham Grosfeld-Nir\", \"id\": 451118}, {\"name\": \"Hsi-Mei Hsu\", \"id\": 784143}, {\"name\": \"Muh-Cherng Wu\", \"id\": 525329}, {\"name\": \"Wen-Jen Chang\", \"id\": 525330}, {\"name\": \"David Sarne\", \"id\": 25073}, {\"name\": \"Yunzeng Wang\", \"id\": 446644}, {\"name\": \"T-S Su\", \"id\": 835832}, {\"name\": \"Xu Guan\", \"id\": 894076}], \"links\": [{\"source\": 527489, \"target\": 119498}, {\"source\": 527489, \"target\": 446644}, {\"source\": 527489, \"target\": 451118}, {\"source\": 527489, \"target\": 506829}, {\"source\": 527489, \"target\": 525329}, {\"source\": 527489, \"target\": 784143}, {\"source\": 527489, \"target\": 894076}, {\"source\": 845829, \"target\": 525329}, {\"source\": 845829, \"target\": 525330}, {\"source\": 694187, \"target\": 451118}, {\"source\": 211850, \"target\": 25073}, {\"source\": 211850, \"target\": 451118}, {\"source\": 506829, \"target\": 446644}, {\"source\": 451118, \"target\": 25073}, {\"source\": 451118, \"target\": 525329}, {\"source\": 451118, \"target\": 784143}, {\"source\": 451118, \"target\": 835832}, {\"source\": 525329, \"target\": 525330}]}",
"id": 908,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Yigal Gerchak, Chie-Wun Chiou, Guo Li, Shoshana Anily, Igor Rochlin, Fernando Bernstein, Abraham Grosfeld-Nir, Hsi-Mei Hsu, Muh-Cherng Wu, Wen-Jen Chang, David Sarne, Yunzeng Wang, T-S Su, Xu Guan\n- Research collaborations between these authors: Yigal Gerchak and Guo Li, Yigal Gerchak and Yunzeng Wang, Yigal Gerchak and Abraham Grosfeld-Nir, Yigal Gerchak and Fernando Bernstein, Yigal Gerchak and Muh-Cherng Wu, Yigal Gerchak and Hsi-Mei Hsu, Yigal Gerchak and Xu Guan, Chie-Wun Chiou and Muh-Cherng Wu, Chie-Wun Chiou and Wen-Jen Chang, Shoshana Anily and Abraham Grosfeld-Nir, Igor Rochlin and David Sarne, Igor Rochlin and Abraham Grosfeld-Nir, Fernando Bernstein and Yunzeng Wang, Abraham Grosfeld-Nir and David Sarne, Abraham Grosfeld-Nir and Muh-Cherng Wu, Abraham Grosfeld-Nir and Hsi-Mei Hsu, Abraham Grosfeld-Nir and T-S Su, Muh-Cherng Wu and Wen-Jen Chang.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Allison M. Okamura, Masakatsu G. Fujie, Hod Lipson, Mark Yim, Vojtěch Vonásek, Shigeru Kokaji, Martin Schulz, Gregory S. Chirikjian, Daniela Rus, Marco Dorigo, Lucy Y. Pao, Kasper Stoy, Septimiu E. Salcudean, John W. Romanishin\n- Research collaborations between these authors: Allison M. Okamura and Septimiu E. Salcudean, Allison M. Okamura and Gregory S. Chirikjian, Allison M. Okamura and Masakatsu G. Fujie, Masakatsu G. Fujie and Septimiu E. Salcudean, Masakatsu G. Fujie and Gregory S. Chirikjian, Hod Lipson and Daniela Rus, Hod Lipson and Marco Dorigo, Hod Lipson and Gregory S. Chirikjian, Hod Lipson and Shigeru Kokaji, Hod Lipson and Mark Yim, Hod Lipson and Kasper Stoy, Mark Yim and Daniela Rus, Mark Yim and Marco Dorigo, Mark Yim and Vojtěch Vonásek, Mark Yim and Kasper Stoy, Mark Yim and Gregory S. Chirikjian, Mark Yim and Shigeru Kokaji, Mark Yim and John W. Romanishin, Vojtěch Vonásek and Daniela Rus, Vojtěch Vonásek and Kasper Stoy, Vojtěch Vonásek and Shigeru Kokaji, Shigeru Kokaji and Daniela Rus, Shigeru Kokaji and Marco Dorigo, Shigeru Kokaji and Kasper Stoy, Shigeru Kokaji and Gregory S. Chirikjian, Gregory S. Chirikjian and Daniela Rus, Gregory S. Chirikjian and Marco Dorigo, Gregory S. Chirikjian and Kasper Stoy, Gregory S. Chirikjian and Septimiu E. Salcudean, Gregory S. Chirikjian and John W. Romanishin, Daniela Rus and Kasper Stoy, Daniela Rus and Marco Dorigo, Daniela Rus and John W. Romanishin, Marco Dorigo and Kasper Stoy.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 7,
"style": "rule"
}
|
{
"exact_answer": 7,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Allison M. Okamura\", \"id\": 20130}, {\"name\": \"Masakatsu G. Fujie\", \"id\": 216835}, {\"name\": \"Hod Lipson\", \"id\": 51179}, {\"name\": \"Mark Yim\", \"id\": 295948}, {\"name\": \"Vojt\\u011bch Von\\u00e1sek\", \"id\": 117838}, {\"name\": \"Septimiu E. Salcudean\", \"id\": 47037}, {\"name\": \"Shigeru Kokaji\", \"id\": 212209}, {\"name\": \"Gregory S. Chirikjian\", \"id\": 143349}, {\"name\": \"Daniela Rus\", \"id\": 18837}, {\"name\": \"Marco Dorigo\", \"id\": 30264}, {\"name\": \"Lucy Y. Pao\", \"id\": 318521}, {\"name\": \"Kasper Stoy\", \"id\": 140635}, {\"name\": \"Martin Schulz\", \"id\": 17501}, {\"name\": \"John W. Romanishin\", \"id\": 237919}], \"links\": [{\"source\": 20130, \"target\": 47037}, {\"source\": 20130, \"target\": 143349}, {\"source\": 20130, \"target\": 216835}, {\"source\": 216835, \"target\": 47037}, {\"source\": 216835, \"target\": 143349}, {\"source\": 51179, \"target\": 18837}, {\"source\": 51179, \"target\": 30264}, {\"source\": 51179, \"target\": 143349}, {\"source\": 51179, \"target\": 212209}, {\"source\": 51179, \"target\": 295948}, {\"source\": 51179, \"target\": 140635}, {\"source\": 295948, \"target\": 18837}, {\"source\": 295948, \"target\": 30264}, {\"source\": 295948, \"target\": 117838}, {\"source\": 295948, \"target\": 140635}, {\"source\": 295948, \"target\": 143349}, {\"source\": 295948, \"target\": 212209}, {\"source\": 295948, \"target\": 237919}, {\"source\": 117838, \"target\": 18837}, {\"source\": 117838, \"target\": 140635}, {\"source\": 117838, \"target\": 212209}, {\"source\": 47037, \"target\": 143349}, {\"source\": 212209, \"target\": 18837}, {\"source\": 212209, \"target\": 30264}, {\"source\": 212209, \"target\": 140635}, {\"source\": 212209, \"target\": 143349}, {\"source\": 143349, \"target\": 18837}, {\"source\": 143349, \"target\": 30264}, {\"source\": 143349, \"target\": 140635}, {\"source\": 143349, \"target\": 237919}, {\"source\": 18837, \"target\": 140635}, {\"source\": 18837, \"target\": 30264}, {\"source\": 18837, \"target\": 237919}, {\"source\": 30264, \"target\": 140635}]}",
"id": 340,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Allison M. Okamura, Masakatsu G. Fujie, Hod Lipson, Mark Yim, Vojtěch Vonásek, Shigeru Kokaji, Martin Schulz, Gregory S. Chirikjian, Daniela Rus, Marco Dorigo, Lucy Y. Pao, Kasper Stoy, Septimiu E. Salcudean, John W. Romanishin\n- Research collaborations between these authors: Allison M. Okamura and Septimiu E. Salcudean, Allison M. Okamura and Gregory S. Chirikjian, Allison M. Okamura and Masakatsu G. Fujie, Masakatsu G. Fujie and Septimiu E. Salcudean, Masakatsu G. Fujie and Gregory S. Chirikjian, Hod Lipson and Daniela Rus, Hod Lipson and Marco Dorigo, Hod Lipson and Gregory S. Chirikjian, Hod Lipson and Shigeru Kokaji, Hod Lipson and Mark Yim, Hod Lipson and Kasper Stoy, Mark Yim and Daniela Rus, Mark Yim and Marco Dorigo, Mark Yim and Vojtěch Vonásek, Mark Yim and Kasper Stoy, Mark Yim and Gregory S. Chirikjian, Mark Yim and Shigeru Kokaji, Mark Yim and John W. Romanishin, Vojtěch Vonásek and Daniela Rus, Vojtěch Vonásek and Kasper Stoy, Vojtěch Vonásek and Shigeru Kokaji, Shigeru Kokaji and Daniela Rus, Shigeru Kokaji and Marco Dorigo, Shigeru Kokaji and Kasper Stoy, Shigeru Kokaji and Gregory S. Chirikjian, Gregory S. Chirikjian and Daniela Rus, Gregory S. Chirikjian and Marco Dorigo, Gregory S. Chirikjian and Kasper Stoy, Gregory S. Chirikjian and Septimiu E. Salcudean, Gregory S. Chirikjian and John W. Romanishin, Daniela Rus and Kasper Stoy, Daniela Rus and Marco Dorigo, Daniela Rus and John W. Romanishin, Marco Dorigo and Kasper Stoy.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Walter Daelemans, Efstathios Stamatatos, Jie Zhang, Shlomo Argamon, Antonio Theophilo, Upendra Sapkota, Rachel Greenstadt, Walter J. Scheirer, Nicu Sebe, Pradeep Varakantham, Moshe Koppel, Benno Stein, Hsinchun Chen, Bing Liu\n- Research collaborations between these authors: Walter Daelemans and Benno Stein, Walter Daelemans and Moshe Koppel, Walter Daelemans and Bing Liu, Walter Daelemans and Shlomo Argamon, Walter Daelemans and Efstathios Stamatatos, Walter Daelemans and Upendra Sapkota, Efstathios Stamatatos and Hsinchun Chen, Efstathios Stamatatos and Benno Stein, Efstathios Stamatatos and Bing Liu, Efstathios Stamatatos and Rachel Greenstadt, Efstathios Stamatatos and Moshe Koppel, Efstathios Stamatatos and Shlomo Argamon, Efstathios Stamatatos and Walter J. Scheirer, Efstathios Stamatatos and Upendra Sapkota, Efstathios Stamatatos and Antonio Theophilo, Jie Zhang and Bing Liu, Jie Zhang and Rachel Greenstadt, Shlomo Argamon and Hsinchun Chen, Shlomo Argamon and Benno Stein, Shlomo Argamon and Bing Liu, Shlomo Argamon and Rachel Greenstadt, Shlomo Argamon and Moshe Koppel, Shlomo Argamon and Upendra Sapkota, Antonio Theophilo and Rachel Greenstadt, Antonio Theophilo and Moshe Koppel, Antonio Theophilo and Walter J. Scheirer, Upendra Sapkota and Moshe Koppel, Rachel Greenstadt and Hsinchun Chen, Rachel Greenstadt and Moshe Koppel, Rachel Greenstadt and Pradeep Varakantham, Rachel Greenstadt and Walter J. Scheirer, Walter J. Scheirer and Moshe Koppel, Moshe Koppel and Hsinchun Chen, Moshe Koppel and Benno Stein, Moshe Koppel and Bing Liu, Benno Stein and Bing Liu, Hsinchun Chen and Bing Liu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Walter Daelemans\", \"id\": 35584}, {\"name\": \"Efstathios Stamatatos\", \"id\": 59842}, {\"name\": \"Jie Zhang\", \"id\": 20835}, {\"name\": \"Shlomo Argamon\", \"id\": 56645}, {\"name\": \"Antonio Theophilo\", \"id\": 1274217}, {\"name\": \"Upendra Sapkota\", \"id\": 325610}, {\"name\": \"Rachel Greenstadt\", \"id\": 15275}, {\"name\": \"Walter J. Scheirer\", \"id\": 185356}, {\"name\": \"Nicu Sebe\", \"id\": 111371}, {\"name\": \"Pradeep Varakantham\", \"id\": 59280}, {\"name\": \"Moshe Koppel\", \"id\": 22386}, {\"name\": \"Benno Stein\", \"id\": 2643}, {\"name\": \"Hsinchun Chen\", \"id\": 188}, {\"name\": \"Bing Liu\", \"id\": 9822}], \"links\": [{\"source\": 35584, \"target\": 2643}, {\"source\": 35584, \"target\": 22386}, {\"source\": 35584, \"target\": 9822}, {\"source\": 35584, \"target\": 56645}, {\"source\": 35584, \"target\": 59842}, {\"source\": 35584, \"target\": 325610}, {\"source\": 59842, \"target\": 188}, {\"source\": 59842, \"target\": 2643}, {\"source\": 59842, \"target\": 9822}, {\"source\": 59842, \"target\": 15275}, {\"source\": 59842, \"target\": 22386}, {\"source\": 59842, \"target\": 56645}, {\"source\": 59842, \"target\": 185356}, {\"source\": 59842, \"target\": 325610}, {\"source\": 59842, \"target\": 1274217}, {\"source\": 20835, \"target\": 9822}, {\"source\": 20835, \"target\": 15275}, {\"source\": 56645, \"target\": 188}, {\"source\": 56645, \"target\": 2643}, {\"source\": 56645, \"target\": 9822}, {\"source\": 56645, \"target\": 15275}, {\"source\": 56645, \"target\": 22386}, {\"source\": 56645, \"target\": 325610}, {\"source\": 1274217, \"target\": 15275}, {\"source\": 1274217, \"target\": 22386}, {\"source\": 1274217, \"target\": 185356}, {\"source\": 325610, \"target\": 22386}, {\"source\": 15275, \"target\": 188}, {\"source\": 15275, \"target\": 22386}, {\"source\": 15275, \"target\": 59280}, {\"source\": 15275, \"target\": 185356}, {\"source\": 185356, \"target\": 22386}, {\"source\": 22386, \"target\": 188}, {\"source\": 22386, \"target\": 2643}, {\"source\": 22386, \"target\": 9822}, {\"source\": 2643, \"target\": 9822}, {\"source\": 188, \"target\": 9822}]}",
"id": 1421,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Walter Daelemans, Efstathios Stamatatos, Jie Zhang, Shlomo Argamon, Antonio Theophilo, Upendra Sapkota, Rachel Greenstadt, Walter J. Scheirer, Nicu Sebe, Pradeep Varakantham, Moshe Koppel, Benno Stein, Hsinchun Chen, Bing Liu\n- Research collaborations between these authors: Walter Daelemans and Benno Stein, Walter Daelemans and Moshe Koppel, Walter Daelemans and Bing Liu, Walter Daelemans and Shlomo Argamon, Walter Daelemans and Efstathios Stamatatos, Walter Daelemans and Upendra Sapkota, Efstathios Stamatatos and Hsinchun Chen, Efstathios Stamatatos and Benno Stein, Efstathios Stamatatos and Bing Liu, Efstathios Stamatatos and Rachel Greenstadt, Efstathios Stamatatos and Moshe Koppel, Efstathios Stamatatos and Shlomo Argamon, Efstathios Stamatatos and Walter J. Scheirer, Efstathios Stamatatos and Upendra Sapkota, Efstathios Stamatatos and Antonio Theophilo, Jie Zhang and Bing Liu, Jie Zhang and Rachel Greenstadt, Shlomo Argamon and Hsinchun Chen, Shlomo Argamon and Benno Stein, Shlomo Argamon and Bing Liu, Shlomo Argamon and Rachel Greenstadt, Shlomo Argamon and Moshe Koppel, Shlomo Argamon and Upendra Sapkota, Antonio Theophilo and Rachel Greenstadt, Antonio Theophilo and Moshe Koppel, Antonio Theophilo and Walter J. Scheirer, Upendra Sapkota and Moshe Koppel, Rachel Greenstadt and Hsinchun Chen, Rachel Greenstadt and Moshe Koppel, Rachel Greenstadt and Pradeep Varakantham, Rachel Greenstadt and Walter J. Scheirer, Walter J. Scheirer and Moshe Koppel, Moshe Koppel and Hsinchun Chen, Moshe Koppel and Benno Stein, Moshe Koppel and Bing Liu, Benno Stein and Bing Liu, Hsinchun Chen and Bing Liu.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hannes Högni Vilhjálmsson, Timothy W. Bickmore, Alex Rayon, David G. Novick, Iván Gris, Adriana Camacho, Nathaniel H. Bean, Michael Neff, Mario Gutierrez, Diego A. Rivera, Jonathan Lazar, Justine Cassell, David R. Traum, Ana Paiva\n- Research collaborations between these authors: Hannes Högni Vilhjálmsson and Timothy W. Bickmore, Hannes Högni Vilhjálmsson and David G. Novick, Hannes Högni Vilhjálmsson and Iván Gris, Hannes Högni Vilhjálmsson and Michael Neff, Hannes Högni Vilhjálmsson and David R. Traum, Hannes Högni Vilhjálmsson and Ana Paiva, Hannes Högni Vilhjálmsson and Justine Cassell, Timothy W. Bickmore and Michael Neff, Timothy W. Bickmore and David R. Traum, Timothy W. Bickmore and Ana Paiva, Timothy W. Bickmore and Justine Cassell, Timothy W. Bickmore and David G. Novick, Timothy W. Bickmore and Iván Gris, Alex Rayon and David G. Novick, Alex Rayon and Iván Gris, Alex Rayon and Michael Neff, Alex Rayon and Diego A. Rivera, David G. Novick and Iván Gris, David G. Novick and Michael Neff, David G. Novick and David R. Traum, David G. Novick and Adriana Camacho, David G. Novick and Jonathan Lazar, David G. Novick and Justine Cassell, David G. Novick and Mario Gutierrez, David G. Novick and Diego A. Rivera, David G. Novick and Nathaniel H. Bean, Iván Gris and Michael Neff, Iván Gris and David R. Traum, Iván Gris and Justine Cassell, Iván Gris and Mario Gutierrez, Iván Gris and Diego A. Rivera, Iván Gris and Adriana Camacho, Adriana Camacho and Diego A. Rivera, Michael Neff and Justine Cassell, Justine Cassell and David R. Traum, Justine Cassell and Ana Paiva, David R. Traum and Ana Paiva.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Hannes H\\u00f6gni Vilhj\\u00e1lmsson\", \"id\": 69026}, {\"name\": \"Timothy W. Bickmore\", \"id\": 4613}, {\"name\": \"David G. Novick\", \"id\": 19302}, {\"name\": \"Alex Rayon\", \"id\": 101414}, {\"name\": \"Iv\\u00e1n Gris\", \"id\": 19303}, {\"name\": \"Adriana Camacho\", \"id\": 101413}, {\"name\": \"Nathaniel H. Bean\", \"id\": 756585}, {\"name\": \"Michael Neff\", \"id\": 35151}, {\"name\": \"Mario Gutierrez\", \"id\": 216085}, {\"name\": \"Diego A. Rivera\", \"id\": 216086}, {\"name\": \"Jonathan Lazar\", \"id\": 159672}, {\"name\": \"Justine Cassell\", \"id\": 183674}, {\"name\": \"David R. Traum\", \"id\": 40381}, {\"name\": \"Ana Paiva\", \"id\": 43326}], \"links\": [{\"source\": 69026, \"target\": 4613}, {\"source\": 69026, \"target\": 19302}, {\"source\": 69026, \"target\": 19303}, {\"source\": 69026, \"target\": 35151}, {\"source\": 69026, \"target\": 40381}, {\"source\": 69026, \"target\": 43326}, {\"source\": 69026, \"target\": 183674}, {\"source\": 4613, \"target\": 35151}, {\"source\": 4613, \"target\": 40381}, {\"source\": 4613, \"target\": 43326}, {\"source\": 4613, \"target\": 183674}, {\"source\": 4613, \"target\": 19302}, {\"source\": 4613, \"target\": 19303}, {\"source\": 19302, \"target\": 19303}, {\"source\": 19302, \"target\": 35151}, {\"source\": 19302, \"target\": 40381}, {\"source\": 19302, \"target\": 101413}, {\"source\": 19302, \"target\": 101414}, {\"source\": 19302, \"target\": 159672}, {\"source\": 19302, \"target\": 183674}, {\"source\": 19302, \"target\": 216085}, {\"source\": 19302, \"target\": 216086}, {\"source\": 19302, \"target\": 756585}, {\"source\": 101414, \"target\": 19303}, {\"source\": 101414, \"target\": 35151}, {\"source\": 101414, \"target\": 216086}, {\"source\": 19303, \"target\": 35151}, {\"source\": 19303, \"target\": 40381}, {\"source\": 19303, \"target\": 183674}, {\"source\": 19303, \"target\": 216085}, {\"source\": 19303, \"target\": 216086}, {\"source\": 19303, \"target\": 101413}, {\"source\": 101413, \"target\": 216086}, {\"source\": 35151, \"target\": 183674}, {\"source\": 183674, \"target\": 40381}, {\"source\": 183674, \"target\": 43326}, {\"source\": 40381, \"target\": 43326}]}",
"id": 613,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Hannes Högni Vilhjálmsson, Timothy W. Bickmore, Alex Rayon, David G. Novick, Iván Gris, Adriana Camacho, Nathaniel H. Bean, Michael Neff, Mario Gutierrez, Diego A. Rivera, Jonathan Lazar, Justine Cassell, David R. Traum, Ana Paiva\n- Research collaborations between these authors: Hannes Högni Vilhjálmsson and Timothy W. Bickmore, Hannes Högni Vilhjálmsson and David G. Novick, Hannes Högni Vilhjálmsson and Iván Gris, Hannes Högni Vilhjálmsson and Michael Neff, Hannes Högni Vilhjálmsson and David R. Traum, Hannes Högni Vilhjálmsson and Ana Paiva, Hannes Högni Vilhjálmsson and Justine Cassell, Timothy W. Bickmore and Michael Neff, Timothy W. Bickmore and David R. Traum, Timothy W. Bickmore and Ana Paiva, Timothy W. Bickmore and Justine Cassell, Timothy W. Bickmore and David G. Novick, Timothy W. Bickmore and Iván Gris, Alex Rayon and David G. Novick, Alex Rayon and Iván Gris, Alex Rayon and Michael Neff, Alex Rayon and Diego A. Rivera, David G. Novick and Iván Gris, David G. Novick and Michael Neff, David G. Novick and David R. Traum, David G. Novick and Adriana Camacho, David G. Novick and Jonathan Lazar, David G. Novick and Justine Cassell, David G. Novick and Mario Gutierrez, David G. Novick and Diego A. Rivera, David G. Novick and Nathaniel H. Bean, Iván Gris and Michael Neff, Iván Gris and David R. Traum, Iván Gris and Justine Cassell, Iván Gris and Mario Gutierrez, Iván Gris and Diego A. Rivera, Iván Gris and Adriana Camacho, Adriana Camacho and Diego A. Rivera, Michael Neff and Justine Cassell, Justine Cassell and David R. Traum, Justine Cassell and Ana Paiva, David R. Traum and Ana Paiva.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Goce Trajcevski, Nikos Mamoulis, Guanhua Chen, Yufei Tao, Xiuli Ma, Dongqing Yang, H.-P. Kriegel, Martin Pfeifle, Elke Achtert, Hans-Peter Kriegel, Tobias Emrich, Arthur Zimek, Andreas Züfle, Shiwei Tang\n- Research collaborations between these authors: Goce Trajcevski and Hans-Peter Kriegel, Goce Trajcevski and Tobias Emrich, Goce Trajcevski and Andreas Züfle, Goce Trajcevski and Yufei Tao, Goce Trajcevski and Nikos Mamoulis, Goce Trajcevski and H.-P. Kriegel, Nikos Mamoulis and Hans-Peter Kriegel, Nikos Mamoulis and Tobias Emrich, Nikos Mamoulis and Andreas Züfle, Nikos Mamoulis and Arthur Zimek, Nikos Mamoulis and Yufei Tao, Nikos Mamoulis and Martin Pfeifle, Nikos Mamoulis and H.-P. Kriegel, Guanhua Chen and H.-P. Kriegel, Yufei Tao and Hans-Peter Kriegel, Yufei Tao and Tobias Emrich, Yufei Tao and Andreas Züfle, Yufei Tao and Arthur Zimek, Yufei Tao and Dongqing Yang, Yufei Tao and Martin Pfeifle, Yufei Tao and Elke Achtert, Yufei Tao and H.-P. Kriegel, Xiuli Ma and Shiwei Tang, Xiuli Ma and Hans-Peter Kriegel, Xiuli Ma and Dongqing Yang, Xiuli Ma and H.-P. Kriegel, Dongqing Yang and Hans-Peter Kriegel, Dongqing Yang and Shiwei Tang, Dongqing Yang and H.-P. Kriegel, H.-P. Kriegel and Hans-Peter Kriegel, H.-P. Kriegel and Arthur Zimek, H.-P. Kriegel and Shiwei Tang, H.-P. Kriegel and Martin Pfeifle, H.-P. Kriegel and Elke Achtert, H.-P. Kriegel and Tobias Emrich, H.-P. Kriegel and Andreas Züfle, Martin Pfeifle and Hans-Peter Kriegel, Martin Pfeifle and Tobias Emrich, Martin Pfeifle and Andreas Züfle, Martin Pfeifle and Arthur Zimek, Elke Achtert and Hans-Peter Kriegel, Elke Achtert and Tobias Emrich, Elke Achtert and Andreas Züfle, Elke Achtert and Arthur Zimek, Hans-Peter Kriegel and Tobias Emrich, Hans-Peter Kriegel and Andreas Züfle, Hans-Peter Kriegel and Arthur Zimek, Hans-Peter Kriegel and Shiwei Tang, Tobias Emrich and Andreas Züfle, Tobias Emrich and Arthur Zimek, Arthur Zimek and Andreas Züfle.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 8,
"style": "rule"
}
|
{
"exact_answer": 8,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Goce Trajcevski\", \"id\": 47139}, {\"name\": \"Nikos Mamoulis\", \"id\": 55141}, {\"name\": \"Guanhua Chen\", \"id\": 242534}, {\"name\": \"Yufei Tao\", \"id\": 36583}, {\"name\": \"Xiuli Ma\", \"id\": 60815}, {\"name\": \"Dongqing Yang\", \"id\": 30864}, {\"name\": \"H.-P. Kriegel\", \"id\": 871441}, {\"name\": \"Martin Pfeifle\", \"id\": 68434}, {\"name\": \"Elke Achtert\", \"id\": 80052}, {\"name\": \"Hans-Peter Kriegel\", \"id\": 3542}, {\"name\": \"Tobias Emrich\", \"id\": 3862}, {\"name\": \"Arthur Zimek\", \"id\": 9336}, {\"name\": \"Andreas Z\\u00fcfle\", \"id\": 3868}, {\"name\": \"Shiwei Tang\", \"id\": 46620}], \"links\": [{\"source\": 47139, \"target\": 3542}, {\"source\": 47139, \"target\": 3862}, {\"source\": 47139, \"target\": 3868}, {\"source\": 47139, \"target\": 36583}, {\"source\": 47139, \"target\": 55141}, {\"source\": 47139, \"target\": 871441}, {\"source\": 55141, \"target\": 3542}, {\"source\": 55141, \"target\": 3862}, {\"source\": 55141, \"target\": 3868}, {\"source\": 55141, \"target\": 9336}, {\"source\": 55141, \"target\": 36583}, {\"source\": 55141, \"target\": 68434}, {\"source\": 55141, \"target\": 871441}, {\"source\": 242534, \"target\": 871441}, {\"source\": 36583, \"target\": 3542}, {\"source\": 36583, \"target\": 3862}, {\"source\": 36583, \"target\": 3868}, {\"source\": 36583, \"target\": 9336}, {\"source\": 36583, \"target\": 30864}, {\"source\": 36583, \"target\": 68434}, {\"source\": 36583, \"target\": 80052}, {\"source\": 36583, \"target\": 871441}, {\"source\": 60815, \"target\": 46620}, {\"source\": 60815, \"target\": 3542}, {\"source\": 60815, \"target\": 30864}, {\"source\": 60815, \"target\": 871441}, {\"source\": 30864, \"target\": 3542}, {\"source\": 30864, \"target\": 46620}, {\"source\": 30864, \"target\": 871441}, {\"source\": 871441, \"target\": 3542}, {\"source\": 871441, \"target\": 9336}, {\"source\": 871441, \"target\": 46620}, {\"source\": 871441, \"target\": 68434}, {\"source\": 871441, \"target\": 80052}, {\"source\": 871441, \"target\": 3862}, {\"source\": 871441, \"target\": 3868}, {\"source\": 68434, \"target\": 3542}, {\"source\": 68434, \"target\": 3862}, {\"source\": 68434, \"target\": 3868}, {\"source\": 68434, \"target\": 9336}, {\"source\": 80052, \"target\": 3542}, {\"source\": 80052, \"target\": 3862}, {\"source\": 80052, \"target\": 3868}, {\"source\": 80052, \"target\": 9336}, {\"source\": 3542, \"target\": 3862}, {\"source\": 3542, \"target\": 3868}, {\"source\": 3542, \"target\": 9336}, {\"source\": 3542, \"target\": 46620}, {\"source\": 3862, \"target\": 3868}, {\"source\": 3862, \"target\": 9336}, {\"source\": 9336, \"target\": 3868}]}",
"id": 1850,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Goce Trajcevski, Nikos Mamoulis, Guanhua Chen, Yufei Tao, Xiuli Ma, Dongqing Yang, H.-P. Kriegel, Martin Pfeifle, Elke Achtert, Hans-Peter Kriegel, Tobias Emrich, Arthur Zimek, Andreas Züfle, Shiwei Tang\n- Research collaborations between these authors: Goce Trajcevski and Hans-Peter Kriegel, Goce Trajcevski and Tobias Emrich, Goce Trajcevski and Andreas Züfle, Goce Trajcevski and Yufei Tao, Goce Trajcevski and Nikos Mamoulis, Goce Trajcevski and H.-P. Kriegel, Nikos Mamoulis and Hans-Peter Kriegel, Nikos Mamoulis and Tobias Emrich, Nikos Mamoulis and Andreas Züfle, Nikos Mamoulis and Arthur Zimek, Nikos Mamoulis and Yufei Tao, Nikos Mamoulis and Martin Pfeifle, Nikos Mamoulis and H.-P. Kriegel, Guanhua Chen and H.-P. Kriegel, Yufei Tao and Hans-Peter Kriegel, Yufei Tao and Tobias Emrich, Yufei Tao and Andreas Züfle, Yufei Tao and Arthur Zimek, Yufei Tao and Dongqing Yang, Yufei Tao and Martin Pfeifle, Yufei Tao and Elke Achtert, Yufei Tao and H.-P. Kriegel, Xiuli Ma and Shiwei Tang, Xiuli Ma and Hans-Peter Kriegel, Xiuli Ma and Dongqing Yang, Xiuli Ma and H.-P. Kriegel, Dongqing Yang and Hans-Peter Kriegel, Dongqing Yang and Shiwei Tang, Dongqing Yang and H.-P. Kriegel, H.-P. Kriegel and Hans-Peter Kriegel, H.-P. Kriegel and Arthur Zimek, H.-P. Kriegel and Shiwei Tang, H.-P. Kriegel and Martin Pfeifle, H.-P. Kriegel and Elke Achtert, H.-P. Kriegel and Tobias Emrich, H.-P. Kriegel and Andreas Züfle, Martin Pfeifle and Hans-Peter Kriegel, Martin Pfeifle and Tobias Emrich, Martin Pfeifle and Andreas Züfle, Martin Pfeifle and Arthur Zimek, Elke Achtert and Hans-Peter Kriegel, Elke Achtert and Tobias Emrich, Elke Achtert and Andreas Züfle, Elke Achtert and Arthur Zimek, Hans-Peter Kriegel and Tobias Emrich, Hans-Peter Kriegel and Andreas Züfle, Hans-Peter Kriegel and Arthur Zimek, Hans-Peter Kriegel and Shiwei Tang, Tobias Emrich and Andreas Züfle, Tobias Emrich and Arthur Zimek, Arthur Zimek and Andreas Züfle.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
MCP
|
[
{
"content": "You are a helpful assistant. The assistant first thinks about the reasoning process in the mind and then provides the user with the answer. The reasoning process and answer must be formatted exactly as follows:\n<think>\n[your reasoning process here]\n</think>\n<answer>\n[your answer here]\n</answer>\nYou can choose to imitate the reasoning process of relevant algorithms or explore an appropriate solution on your own. DO NOT use code, and remember to focus on the logical flow.",
"role": "system"
},
{
"content": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sriram Krishnan, Paul D. Coddington, Theresa L. Windus, T Epperly, Christian Pérez, Kenneth Chiu, Wael R. Elwasif, Marian Bubak, Jaideep Ray, James Arthur Kohl, Françoise Baude, Denis Caromel, Felipe Bertrand, Romain Quilici\n- Research collaborations between these authors: Sriram Krishnan and Marian Bubak, Sriram Krishnan and Françoise Baude, Sriram Krishnan and Denis Caromel, Sriram Krishnan and Kenneth Chiu, Sriram Krishnan and James Arthur Kohl, Sriram Krishnan and Jaideep Ray, Sriram Krishnan and Felipe Bertrand, Paul D. Coddington and Kenneth Chiu, Theresa L. Windus and Christian Pérez, Theresa L. Windus and Wael R. Elwasif, Theresa L. Windus and Kenneth Chiu, Theresa L. Windus and James Arthur Kohl, Theresa L. Windus and Jaideep Ray, Theresa L. Windus and Felipe Bertrand, T Epperly and Marian Bubak, T Epperly and Françoise Baude, T Epperly and Christian Pérez, T Epperly and Wael R. Elwasif, T Epperly and Kenneth Chiu, T Epperly and James Arthur Kohl, T Epperly and Jaideep Ray, Christian Pérez and Marian Bubak, Christian Pérez and Françoise Baude, Christian Pérez and Denis Caromel, Christian Pérez and Kenneth Chiu, Christian Pérez and Wael R. Elwasif, Christian Pérez and James Arthur Kohl, Christian Pérez and Jaideep Ray, Christian Pérez and Felipe Bertrand, Kenneth Chiu and Marian Bubak, Kenneth Chiu and Françoise Baude, Kenneth Chiu and Denis Caromel, Kenneth Chiu and Romain Quilici, Kenneth Chiu and James Arthur Kohl, Kenneth Chiu and Jaideep Ray, Kenneth Chiu and Felipe Bertrand, Kenneth Chiu and Wael R. Elwasif, Wael R. Elwasif and James Arthur Kohl, Wael R. Elwasif and Jaideep Ray, Wael R. Elwasif and Felipe Bertrand, Marian Bubak and Françoise Baude, Marian Bubak and Denis Caromel, Marian Bubak and Romain Quilici, Jaideep Ray and Françoise Baude, Jaideep Ray and Denis Caromel, Jaideep Ray and James Arthur Kohl, James Arthur Kohl and Françoise Baude, James Arthur Kohl and Denis Caromel, James Arthur Kohl and Felipe Bertrand, Françoise Baude and Denis Caromel, Françoise Baude and Felipe Bertrand, Françoise Baude and Romain Quilici, Denis Caromel and Romain Quilici, Denis Caromel and Felipe Bertrand.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"role": "user"
}
] |
{
"ground_truth": 6,
"style": "rule"
}
|
{
"exact_answer": 6,
"graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Sriram Krishnan\", \"id\": 54176}, {\"name\": \"Paul D. Coddington\", \"id\": 100257}, {\"name\": \"Fran\\u00e7oise Baude\", \"id\": 11640}, {\"name\": \"T Epperly\", \"id\": 283719}, {\"name\": \"Theresa L. Windus\", \"id\": 266631}, {\"name\": \"Kenneth Chiu\", \"id\": 125546}, {\"name\": \"Wael R. Elwasif\", \"id\": 190509}, {\"name\": \"Marian Bubak\", \"id\": 6670}, {\"name\": \"Jaideep Ray\", \"id\": 234328}, {\"name\": \"James Arthur Kohl\", \"id\": 231989}, {\"name\": \"Christian P\\u00e9rez\", \"id\": 122392}, {\"name\": \"Denis Caromel\", \"id\": 11641}, {\"name\": \"Felipe Bertrand\", \"id\": 414236}, {\"name\": \"Romain Quilici\", \"id\": 11645}], \"links\": [{\"source\": 54176, \"target\": 6670}, {\"source\": 54176, \"target\": 11640}, {\"source\": 54176, \"target\": 11641}, {\"source\": 54176, \"target\": 125546}, {\"source\": 54176, \"target\": 231989}, {\"source\": 54176, \"target\": 234328}, {\"source\": 54176, \"target\": 414236}, {\"source\": 100257, \"target\": 125546}, {\"source\": 11640, \"target\": 6670}, {\"source\": 11640, \"target\": 11641}, {\"source\": 11640, \"target\": 122392}, {\"source\": 11640, \"target\": 125546}, {\"source\": 11640, \"target\": 231989}, {\"source\": 11640, \"target\": 234328}, {\"source\": 11640, \"target\": 283719}, {\"source\": 11640, \"target\": 414236}, {\"source\": 11640, \"target\": 11645}, {\"source\": 283719, \"target\": 6670}, {\"source\": 283719, \"target\": 122392}, {\"source\": 283719, \"target\": 190509}, {\"source\": 283719, \"target\": 125546}, {\"source\": 283719, \"target\": 231989}, {\"source\": 283719, \"target\": 234328}, {\"source\": 266631, \"target\": 122392}, {\"source\": 266631, \"target\": 190509}, {\"source\": 266631, \"target\": 125546}, {\"source\": 266631, \"target\": 231989}, {\"source\": 266631, \"target\": 234328}, {\"source\": 266631, \"target\": 414236}, {\"source\": 125546, \"target\": 6670}, {\"source\": 125546, \"target\": 11641}, {\"source\": 125546, \"target\": 11645}, {\"source\": 125546, \"target\": 122392}, {\"source\": 125546, \"target\": 231989}, {\"source\": 125546, \"target\": 234328}, {\"source\": 125546, \"target\": 414236}, {\"source\": 125546, \"target\": 190509}, {\"source\": 190509, \"target\": 122392}, {\"source\": 190509, \"target\": 231989}, {\"source\": 190509, \"target\": 234328}, {\"source\": 190509, \"target\": 414236}, {\"source\": 6670, \"target\": 11641}, {\"source\": 6670, \"target\": 11645}, {\"source\": 6670, \"target\": 122392}, {\"source\": 234328, \"target\": 11641}, {\"source\": 234328, \"target\": 122392}, {\"source\": 234328, \"target\": 231989}, {\"source\": 231989, \"target\": 11641}, {\"source\": 231989, \"target\": 122392}, {\"source\": 231989, \"target\": 414236}, {\"source\": 122392, \"target\": 11641}, {\"source\": 122392, \"target\": 414236}, {\"source\": 11641, \"target\": 11645}, {\"source\": 11641, \"target\": 414236}]}",
"id": 59,
"problem_text": "You are required to solve the Maximum Clique Problem for an undirected academic network. In this network, nodes represent authors and edges represent research collaborations. Your objective is to find the largest subset of nodes such that every pair of vertices in this subset is connected by an edge.\n\n**Problem to Solve**\n\n- Authors in the network: Sriram Krishnan, Paul D. Coddington, Theresa L. Windus, T Epperly, Christian Pérez, Kenneth Chiu, Wael R. Elwasif, Marian Bubak, Jaideep Ray, James Arthur Kohl, Françoise Baude, Denis Caromel, Felipe Bertrand, Romain Quilici\n- Research collaborations between these authors: Sriram Krishnan and Marian Bubak, Sriram Krishnan and Françoise Baude, Sriram Krishnan and Denis Caromel, Sriram Krishnan and Kenneth Chiu, Sriram Krishnan and James Arthur Kohl, Sriram Krishnan and Jaideep Ray, Sriram Krishnan and Felipe Bertrand, Paul D. Coddington and Kenneth Chiu, Theresa L. Windus and Christian Pérez, Theresa L. Windus and Wael R. Elwasif, Theresa L. Windus and Kenneth Chiu, Theresa L. Windus and James Arthur Kohl, Theresa L. Windus and Jaideep Ray, Theresa L. Windus and Felipe Bertrand, T Epperly and Marian Bubak, T Epperly and Françoise Baude, T Epperly and Christian Pérez, T Epperly and Wael R. Elwasif, T Epperly and Kenneth Chiu, T Epperly and James Arthur Kohl, T Epperly and Jaideep Ray, Christian Pérez and Marian Bubak, Christian Pérez and Françoise Baude, Christian Pérez and Denis Caromel, Christian Pérez and Kenneth Chiu, Christian Pérez and Wael R. Elwasif, Christian Pérez and James Arthur Kohl, Christian Pérez and Jaideep Ray, Christian Pérez and Felipe Bertrand, Kenneth Chiu and Marian Bubak, Kenneth Chiu and Françoise Baude, Kenneth Chiu and Denis Caromel, Kenneth Chiu and Romain Quilici, Kenneth Chiu and James Arthur Kohl, Kenneth Chiu and Jaideep Ray, Kenneth Chiu and Felipe Bertrand, Kenneth Chiu and Wael R. Elwasif, Wael R. Elwasif and James Arthur Kohl, Wael R. Elwasif and Jaideep Ray, Wael R. Elwasif and Felipe Bertrand, Marian Bubak and Françoise Baude, Marian Bubak and Denis Caromel, Marian Bubak and Romain Quilici, Jaideep Ray and Françoise Baude, Jaideep Ray and Denis Caromel, Jaideep Ray and James Arthur Kohl, James Arthur Kohl and Françoise Baude, James Arthur Kohl and Denis Caromel, James Arthur Kohl and Felipe Bertrand, Françoise Baude and Denis Caromel, Françoise Baude and Felipe Bertrand, Françoise Baude and Romain Quilici, Denis Caromel and Romain Quilici, Denis Caromel and Felipe Bertrand.\nIdentify the clique with the maximum number of authors in this network. Present your answer in the following format: [AuthorA, AuthorB, AuthorC, AuthorD, ...].",
"split": "train"
}
|
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