Split (2)

train · 9k rows

Subsets and Splits

No community queries yet

The top public SQL queries from the community will appear here once available.

data_source stringclasses 3 values	prompt listlengths 2 2	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\nProblem to Solve\n\n- Authors in the network: Tiffany Barnes, André Mayers, Winslow Burleson, Luc Paquette, Kenneth R. Koedinger, Sidney K. D'Mello, Min Chi, Pamela W. Jordan, Kurt VanLehn, Vincent Aleven, Linwood Taylor, Stephen B. Gilbert, Bruce M. McLaren, Joel A. Shapiro\n- Research collaborations between these authors: Tiffany Barnes and André Mayers, Tiffany Barnes and Kenneth R. Koedinger, Tiffany Barnes and Min Chi, Tiffany Barnes and Kurt VanLehn, Tiffany Barnes and Vincent Aleven, Tiffany Barnes and Bruce M. McLaren, Tiffany Barnes and Joel A. Shapiro, Tiffany Barnes and Linwood Taylor, Tiffany Barnes and Luc Paquette, André Mayers and Kenneth R. Koedinger, André Mayers and Kurt VanLehn, André Mayers and Vincent Aleven, André Mayers and Luc Paquette, André Mayers and Bruce M. McLaren, André Mayers and Joel A. Shapiro, André Mayers and Linwood Taylor, Winslow Burleson and Kenneth R. Koedinger, Winslow Burleson and Kurt VanLehn, Winslow Burleson and Sidney K. D'Mello, Winslow Burleson and Luc Paquette, Winslow Burleson and Vincent Aleven, Winslow Burleson and Bruce M. McLaren, Winslow Burleson and Joel A. Shapiro, Winslow Burleson and Linwood Taylor, Luc Paquette and Kenneth R. Koedinger, Luc Paquette and Kurt VanLehn, Luc Paquette and Sidney K. D'Mello, Luc Paquette and Vincent Aleven, Luc Paquette and Bruce M. McLaren, Luc Paquette and Joel A. Shapiro, Luc Paquette and Linwood Taylor, Kenneth R. Koedinger and Stephen B. Gilbert, Kenneth R. Koedinger and Pamela W. Jordan, Kenneth R. Koedinger and Kurt VanLehn, Kenneth R. Koedinger and Vincent Aleven, Kenneth R. Koedinger and Bruce M. McLaren, Kenneth R. Koedinger and Joel A. Shapiro, Kenneth R. Koedinger and Linwood Taylor, Kenneth R. Koedinger and Min Chi, Kenneth R. Koedinger and Sidney K. D'Mello, Sidney K. D'Mello and Kurt VanLehn, Sidney K. D'Mello and Pamela W. Jordan, Sidney K. D'Mello and Vincent Aleven, Sidney K. D'Mello and Bruce M. McLaren, Sidney K. D'Mello and Joel A. Shapiro, Sidney K. D'Mello and Linwood Taylor, Min Chi and Pamela W. Jordan, Min Chi and Kurt VanLehn, Min Chi and Vincent Aleven, Min Chi and Bruce M. McLaren, Min Chi and Joel A. Shapiro, Min Chi and Linwood Taylor, Pamela W. Jordan and Kurt VanLehn, Pamela W. Jordan and Joel A. Shapiro, Pamela W. Jordan and Linwood Taylor, Pamela W. Jordan and Vincent Aleven, Kurt VanLehn and Stephen B. Gilbert, Kurt VanLehn and Vincent Aleven, Kurt VanLehn and Bruce M. McLaren, Kurt VanLehn and Joel A. Shapiro, Kurt VanLehn and Linwood Taylor, Vincent Aleven and Stephen B. Gilbert, Vincent Aleven and Bruce M. McLaren, Vincent Aleven and Joel A. Shapiro, Vincent Aleven and Linwood Taylor, Linwood Taylor and Stephen B. Gilbert, Linwood Taylor and Bruce M. McLaren, Linwood Taylor and Joel A. Shapiro, Stephen B. Gilbert and Joel A. Shapiro, Stephen B. Gilbert and Bruce M. McLaren, Bruce M. McLaren and Joel A. Shapiro.\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\": \"Andr\\u00e9 Mayers\", \"id\": 3684}, {\"name\": \"Winslow Burleson\", \"id\": 63397}, {\"name\": \"Sidney K. D'Mello\", \"id\": 22759}, {\"name\": \"Kenneth R. Koedinger\", \"id\": 8040}, {\"name\": \"Luc Paquette\", \"id\": 37127}, {\"name\": \"Min Chi\", \"id\": 16332}, {\"name\": \"Pamela W. Jordan\", \"id\": 16334}, {\"name\": \"Kurt VanLehn\", \"id\": 16335}, {\"name\": \"Vincent Aleven\", \"id\": 31151}, {\"name\": \"Linwood Taylor\", \"id\": 298129}, {\"name\": \"Stephen B. Gilbert\", \"id\": 3633}, {\"name\": \"Bruce M. McLaren\", \"id\": 48179}, {\"name\": \"Joel A. Shapiro\", \"id\": 93182}, {\"name\": \"Tiffany Barnes\", \"id\": 20862}], \"links\": [{\"source\": 3684, \"target\": 8040}, {\"source\": 3684, \"target\": 16335}, {\"source\": 3684, \"target\": 20862}, {\"source\": 3684, \"target\": 31151}, {\"source\": 3684, \"target\": 37127}, {\"source\": 3684, \"target\": 48179}, {\"source\": 3684, \"target\": 93182}, {\"source\": 3684, \"target\": 298129}, {\"source\": 63397, \"target\": 8040}, {\"source\": 63397, \"target\": 16335}, {\"source\": 63397, \"target\": 22759}, {\"source\": 63397, \"target\": 37127}, {\"source\": 63397, \"target\": 31151}, {\"source\": 63397, \"target\": 48179}, {\"source\": 63397, \"target\": 93182}, {\"source\": 63397, \"target\": 298129}, {\"source\": 22759, \"target\": 16335}, {\"source\": 22759, \"target\": 8040}, {\"source\": 22759, \"target\": 16334}, {\"source\": 22759, \"target\": 31151}, {\"source\": 22759, \"target\": 48179}, {\"source\": 22759, \"target\": 93182}, {\"source\": 22759, \"target\": 298129}, {\"source\": 22759, \"target\": 37127}, {\"source\": 8040, \"target\": 3633}, {\"source\": 8040, \"target\": 16334}, {\"source\": 8040, \"target\": 16335}, {\"source\": 8040, \"target\": 20862}, {\"source\": 8040, \"target\": 31151}, {\"source\": 8040, \"target\": 48179}, {\"source\": 8040, \"target\": 93182}, {\"source\": 8040, \"target\": 298129}, {\"source\": 8040, \"target\": 16332}, {\"source\": 8040, \"target\": 37127}, {\"source\": 37127, \"target\": 16335}, {\"source\": 37127, \"target\": 20862}, {\"source\": 37127, \"target\": 31151}, {\"source\": 37127, \"target\": 48179}, {\"source\": 37127, \"target\": 93182}, {\"source\": 37127, \"target\": 298129}, {\"source\": 16332, \"target\": 16334}, {\"source\": 16332, \"target\": 16335}, {\"source\": 16332, \"target\": 20862}, {\"source\": 16332, \"target\": 31151}, {\"source\": 16332, \"target\": 48179}, {\"source\": 16332, \"target\": 93182}, {\"source\": 16332, \"target\": 298129}, {\"source\": 16334, \"target\": 16335}, {\"source\": 16334, \"target\": 93182}, {\"source\": 16334, \"target\": 298129}, {\"source\": 16334, \"target\": 31151}, {\"source\": 16335, \"target\": 3633}, {\"source\": 16335, \"target\": 31151}, {\"source\": 16335, \"target\": 48179}, {\"source\": 16335, \"target\": 93182}, {\"source\": 16335, \"target\": 298129}, {\"source\": 16335, \"target\": 20862}, {\"source\": 31151, \"target\": 20862}, {\"source\": 31151, \"target\": 3633}, {\"source\": 31151, \"target\": 48179}, {\"source\": 31151, \"target\": 93182}, {\"source\": 31151, \"target\": 298129}, {\"source\": 298129, \"target\": 3633}, {\"source\": 298129, \"target\": 20862}, {\"source\": 298129, \"target\": 48179}, {\"source\": 298129, \"target\": 93182}, {\"source\": 3633, \"target\": 93182}, {\"source\": 3633, \"target\": 48179}, {\"source\": 48179, \"target\": 20862}, {\"source\": 48179, \"target\": 93182}, {\"source\": 93182, \"target\": 20862}]}", "id": 2329, "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\nProblem to Solve\n\n- Authors in the network: Tiffany Barnes, André Mayers, Winslow Burleson, Luc Paquette, Kenneth R. Koedinger, Sidney K. D'Mello, Min Chi, Pamela W. Jordan, Kurt VanLehn, Vincent Aleven, Linwood Taylor, Stephen B. Gilbert, Bruce M. McLaren, Joel A. Shapiro\n- Research collaborations between these authors: Tiffany Barnes and André Mayers, Tiffany Barnes and Kenneth R. Koedinger, Tiffany Barnes and Min Chi, Tiffany Barnes and Kurt VanLehn, Tiffany Barnes and Vincent Aleven, Tiffany Barnes and Bruce M. McLaren, Tiffany Barnes and Joel A. Shapiro, Tiffany Barnes and Linwood Taylor, Tiffany Barnes and Luc Paquette, André Mayers and Kenneth R. Koedinger, André Mayers and Kurt VanLehn, André Mayers and Vincent Aleven, André Mayers and Luc Paquette, André Mayers and Bruce M. McLaren, André Mayers and Joel A. Shapiro, André Mayers and Linwood Taylor, Winslow Burleson and Kenneth R. Koedinger, Winslow Burleson and Kurt VanLehn, Winslow Burleson and Sidney K. D'Mello, Winslow Burleson and Luc Paquette, Winslow Burleson and Vincent Aleven, Winslow Burleson and Bruce M. McLaren, Winslow Burleson and Joel A. Shapiro, Winslow Burleson and Linwood Taylor, Luc Paquette and Kenneth R. Koedinger, Luc Paquette and Kurt VanLehn, Luc Paquette and Sidney K. D'Mello, Luc Paquette and Vincent Aleven, Luc Paquette and Bruce M. McLaren, Luc Paquette and Joel A. Shapiro, Luc Paquette and Linwood Taylor, Kenneth R. Koedinger and Stephen B. Gilbert, Kenneth R. Koedinger and Pamela W. Jordan, Kenneth R. Koedinger and Kurt VanLehn, Kenneth R. Koedinger and Vincent Aleven, Kenneth R. Koedinger and Bruce M. McLaren, Kenneth R. Koedinger and Joel A. Shapiro, Kenneth R. Koedinger and Linwood Taylor, Kenneth R. Koedinger and Min Chi, Kenneth R. Koedinger and Sidney K. D'Mello, Sidney K. D'Mello and Kurt VanLehn, Sidney K. D'Mello and Pamela W. Jordan, Sidney K. D'Mello and Vincent Aleven, Sidney K. D'Mello and Bruce M. McLaren, Sidney K. D'Mello and Joel A. Shapiro, Sidney K. D'Mello and Linwood Taylor, Min Chi and Pamela W. Jordan, Min Chi and Kurt VanLehn, Min Chi and Vincent Aleven, Min Chi and Bruce M. McLaren, Min Chi and Joel A. Shapiro, Min Chi and Linwood Taylor, Pamela W. Jordan and Kurt VanLehn, Pamela W. Jordan and Joel A. Shapiro, Pamela W. Jordan and Linwood Taylor, Pamela W. Jordan and Vincent Aleven, Kurt VanLehn and Stephen B. Gilbert, Kurt VanLehn and Vincent Aleven, Kurt VanLehn and Bruce M. McLaren, Kurt VanLehn and Joel A. Shapiro, Kurt VanLehn and Linwood Taylor, Vincent Aleven and Stephen B. Gilbert, Vincent Aleven and Bruce M. McLaren, Vincent Aleven and Joel A. Shapiro, Vincent Aleven and Linwood Taylor, Linwood Taylor and Stephen B. Gilbert, Linwood Taylor and Bruce M. McLaren, Linwood Taylor and Joel A. Shapiro, Stephen B. Gilbert and Joel A. Shapiro, Stephen B. Gilbert and Bruce M. McLaren, Bruce M. McLaren and Joel A. Shapiro.\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\nProblem to Solve\n\n- Authors in the network: Vyas Krishnan, Anirban Sengupta, Reza Sedaghat, Gregory R. Kramer, Zhipeng Zeng, Gianluca Palermo, Saranyan Vigraham, Suraj Kumar Dhanuka, Vipul Kumar Mishra, John C. Gallagher, Thomas Schlichter, Alessandro G. Di Nuovo, Christian Haubelt, Vincenzo Catania\n- Research collaborations between these authors: Vyas Krishnan and Anirban Sengupta, Vyas Krishnan and Reza Sedaghat, Vyas Krishnan and Vipul Kumar Mishra, Anirban Sengupta and Vincenzo Catania, Anirban Sengupta and John C. Gallagher, Anirban Sengupta and Saranyan Vigraham, Anirban Sengupta and Christian Haubelt, Anirban Sengupta and Alessandro G. Di Nuovo, Anirban Sengupta and Gianluca Palermo, Anirban Sengupta and Reza Sedaghat, Anirban Sengupta and Gregory R. Kramer, Anirban Sengupta and Zhipeng Zeng, Anirban Sengupta and Vipul Kumar Mishra, Anirban Sengupta and Thomas Schlichter, Anirban Sengupta and Suraj Kumar Dhanuka, Reza Sedaghat and Vincenzo Catania, Reza Sedaghat and John C. Gallagher, Reza Sedaghat and Saranyan Vigraham, Reza Sedaghat and Christian Haubelt, Reza Sedaghat and Alessandro G. Di Nuovo, Reza Sedaghat and Gregory R. Kramer, Reza Sedaghat and Zhipeng Zeng, Reza Sedaghat and Thomas Schlichter, Reza Sedaghat and Suraj Kumar Dhanuka, Reza Sedaghat and Vipul Kumar Mishra, Gregory R. Kramer and John C. Gallagher, Gregory R. Kramer and Saranyan Vigraham, Zhipeng Zeng and Vincenzo Catania, Zhipeng Zeng and Christian Haubelt, Zhipeng Zeng and Alessandro G. Di Nuovo, Gianluca Palermo and Vincenzo Catania, Gianluca Palermo and Christian Haubelt, Gianluca Palermo and Alessandro G. Di Nuovo, Gianluca Palermo and Vipul Kumar Mishra, Saranyan Vigraham and John C. Gallagher, Vipul Kumar Mishra and Vincenzo Catania, Vipul Kumar Mishra and Christian Haubelt, Vipul Kumar Mishra and Alessandro G. Di Nuovo, Vipul Kumar Mishra and Thomas Schlichter, Thomas Schlichter and Christian Haubelt, Alessandro G. Di Nuovo and Vincenzo Catania.\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\": \"Vyas Krishnan\", \"id\": 814049}, {\"name\": \"Anirban Sengupta\", \"id\": 265027}, {\"name\": \"Reza Sedaghat\", \"id\": 265028}, {\"name\": \"Gregory R. Kramer\", \"id\": 270502}, {\"name\": \"Zhipeng Zeng\", \"id\": 402567}, {\"name\": \"Gianluca Palermo\", \"id\": 180455}, {\"name\": \"Saranyan Vigraham\", \"id\": 46986}, {\"name\": \"Suraj Kumar Dhanuka\", \"id\": 637676}, {\"name\": \"Vipul Kumar Mishra\", \"id\": 642637}, {\"name\": \"John C. Gallagher\", \"id\": 17872}, {\"name\": \"Thomas Schlichter\", \"id\": 846774}, {\"name\": \"Alessandro G. Di Nuovo\", \"id\": 105302}, {\"name\": \"Christian Haubelt\", \"id\": 98618}, {\"name\": \"Vincenzo Catania\", \"id\": 17531}], \"links\": [{\"source\": 814049, \"target\": 265027}, {\"source\": 814049, \"target\": 265028}, {\"source\": 814049, \"target\": 642637}, {\"source\": 265027, \"target\": 17531}, {\"source\": 265027, \"target\": 17872}, {\"source\": 265027, \"target\": 46986}, {\"source\": 265027, \"target\": 98618}, {\"source\": 265027, \"target\": 105302}, {\"source\": 265027, \"target\": 180455}, {\"source\": 265027, \"target\": 265028}, {\"source\": 265027, \"target\": 270502}, {\"source\": 265027, \"target\": 402567}, {\"source\": 265027, \"target\": 642637}, {\"source\": 265027, \"target\": 846774}, {\"source\": 265027, \"target\": 637676}, {\"source\": 265028, \"target\": 17531}, {\"source\": 265028, \"target\": 17872}, {\"source\": 265028, \"target\": 46986}, {\"source\": 265028, \"target\": 98618}, {\"source\": 265028, \"target\": 105302}, {\"source\": 265028, \"target\": 270502}, {\"source\": 265028, \"target\": 402567}, {\"source\": 265028, \"target\": 846774}, {\"source\": 265028, \"target\": 637676}, {\"source\": 265028, \"target\": 642637}, {\"source\": 270502, \"target\": 17872}, {\"source\": 270502, \"target\": 46986}, {\"source\": 402567, \"target\": 17531}, {\"source\": 402567, \"target\": 98618}, {\"source\": 402567, \"target\": 105302}, {\"source\": 180455, \"target\": 17531}, {\"source\": 180455, \"target\": 98618}, {\"source\": 180455, \"target\": 105302}, {\"source\": 180455, \"target\": 642637}, {\"source\": 46986, \"target\": 17872}, {\"source\": 642637, \"target\": 17531}, {\"source\": 642637, \"target\": 98618}, {\"source\": 642637, \"target\": 105302}, {\"source\": 642637, \"target\": 846774}, {\"source\": 846774, \"target\": 98618}, {\"source\": 105302, \"target\": 17531}]}", "id": 1820, "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\nProblem to Solve\n\n- Authors in the network: Vyas Krishnan, Anirban Sengupta, Reza Sedaghat, Gregory R. Kramer, Zhipeng Zeng, Gianluca Palermo, Saranyan Vigraham, Suraj Kumar Dhanuka, Vipul Kumar Mishra, John C. Gallagher, Thomas Schlichter, Alessandro G. Di Nuovo, Christian Haubelt, Vincenzo Catania\n- Research collaborations between these authors: Vyas Krishnan and Anirban Sengupta, Vyas Krishnan and Reza Sedaghat, Vyas Krishnan and Vipul Kumar Mishra, Anirban Sengupta and Vincenzo Catania, Anirban Sengupta and John C. Gallagher, Anirban Sengupta and Saranyan Vigraham, Anirban Sengupta and Christian Haubelt, Anirban Sengupta and Alessandro G. Di Nuovo, Anirban Sengupta and Gianluca Palermo, Anirban Sengupta and Reza Sedaghat, Anirban Sengupta and Gregory R. Kramer, Anirban Sengupta and Zhipeng Zeng, Anirban Sengupta and Vipul Kumar Mishra, Anirban Sengupta and Thomas Schlichter, Anirban Sengupta and Suraj Kumar Dhanuka, Reza Sedaghat and Vincenzo Catania, Reza Sedaghat and John C. Gallagher, Reza Sedaghat and Saranyan Vigraham, Reza Sedaghat and Christian Haubelt, Reza Sedaghat and Alessandro G. Di Nuovo, Reza Sedaghat and Gregory R. Kramer, Reza Sedaghat and Zhipeng Zeng, Reza Sedaghat and Thomas Schlichter, Reza Sedaghat and Suraj Kumar Dhanuka, Reza Sedaghat and Vipul Kumar Mishra, Gregory R. Kramer and John C. Gallagher, Gregory R. Kramer and Saranyan Vigraham, Zhipeng Zeng and Vincenzo Catania, Zhipeng Zeng and Christian Haubelt, Zhipeng Zeng and Alessandro G. Di Nuovo, Gianluca Palermo and Vincenzo Catania, Gianluca Palermo and Christian Haubelt, Gianluca Palermo and Alessandro G. Di Nuovo, Gianluca Palermo and Vipul Kumar Mishra, Saranyan Vigraham and John C. Gallagher, Vipul Kumar Mishra and Vincenzo Catania, Vipul Kumar Mishra and Christian Haubelt, Vipul Kumar Mishra and Alessandro G. Di Nuovo, Vipul Kumar Mishra and Thomas Schlichter, Thomas Schlichter and Christian Haubelt, Alessandro G. Di Nuovo and Vincenzo Catania.\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\nProblem to Solve\n\n- Authors in the network: Surya N. Kavuri, Kewen Yin, Sirkka-Liisa Jämsä-Jounela, Celso J. Munaro, Sirish L. Shah, Nina F. Thornhill, Venkat Venkatasubramanian, Tongwen Chen, Margret Bauer, Raghunathan Rengaswamy, Rinat Landman, Jukka Kortela, Fan Yang, Thomas Parisini\n- Research collaborations between these authors: Surya N. Kavuri and Thomas Parisini, Surya N. Kavuri and Nina F. Thornhill, Surya N. Kavuri and Venkat Venkatasubramanian, Surya N. Kavuri and Raghunathan Rengaswamy, Surya N. Kavuri and Margret Bauer, Surya N. Kavuri and Sirkka-Liisa Jämsä-Jounela, Kewen Yin and Thomas Parisini, Kewen Yin and Nina F. Thornhill, Kewen Yin and Venkat Venkatasubramanian, Kewen Yin and Raghunathan Rengaswamy, Kewen Yin and Sirkka-Liisa Jämsä-Jounela, Sirkka-Liisa Jämsä-Jounela and Nina F. Thornhill, Sirkka-Liisa Jämsä-Jounela and Venkat Venkatasubramanian, Sirkka-Liisa Jämsä-Jounela and Raghunathan Rengaswamy, Celso J. Munaro and Nina F. Thornhill, Celso J. Munaro and Margret Bauer, Sirish L. Shah and Fan Yang, Sirish L. Shah and Tongwen Chen, Sirish L. Shah and Nina F. Thornhill, Sirish L. Shah and Margret Bauer, Nina F. Thornhill and Fan Yang, Nina F. Thornhill and Tongwen Chen, Nina F. Thornhill and Venkat Venkatasubramanian, Nina F. Thornhill and Raghunathan Rengaswamy, Nina F. Thornhill and Rinat Landman, Nina F. Thornhill and Jukka Kortela, Venkat Venkatasubramanian and Thomas Parisini, Venkat Venkatasubramanian and Raghunathan Rengaswamy, Venkat Venkatasubramanian and Margret Bauer, Tongwen Chen and Fan Yang, Tongwen Chen and Margret Bauer, Margret Bauer and Fan Yang, Margret Bauer and Raghunathan Rengaswamy, Raghunathan Rengaswamy and Thomas Parisini.\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\": \"Surya N. Kavuri\", \"id\": 1069703}, {\"name\": \"Kewen Yin\", \"id\": 1079656}, {\"name\": \"Sirkka-Liisa J\\u00e4ms\\u00e4-Jounela\", \"id\": 625866}, {\"name\": \"Celso J. Munaro\", \"id\": 410028}, {\"name\": \"Sirish L. Shah\", \"id\": 410029}, {\"name\": \"Nina F. Thornhill\", \"id\": 216785}, {\"name\": \"Jukka Kortela\", \"id\": 851164}, {\"name\": \"Venkat Venkatasubramanian\", \"id\": 297428}, {\"name\": \"Tongwen Chen\", \"id\": 77172}, {\"name\": \"Raghunathan Rengaswamy\", \"id\": 398328}, {\"name\": \"Rinat Landman\", \"id\": 851163}, {\"name\": \"Margret Bauer\", \"id\": 588156}, {\"name\": \"Fan Yang\", \"id\": 21469}, {\"name\": \"Thomas Parisini\", \"id\": 181887}], \"links\": [{\"source\": 1069703, \"target\": 181887}, {\"source\": 1069703, \"target\": 216785}, {\"source\": 1069703, \"target\": 297428}, {\"source\": 1069703, \"target\": 398328}, {\"source\": 1069703, \"target\": 588156}, {\"source\": 1069703, \"target\": 625866}, {\"source\": 1079656, \"target\": 181887}, {\"source\": 1079656, \"target\": 216785}, {\"source\": 1079656, \"target\": 297428}, {\"source\": 1079656, \"target\": 398328}, {\"source\": 1079656, \"target\": 625866}, {\"source\": 625866, \"target\": 216785}, {\"source\": 625866, \"target\": 297428}, {\"source\": 625866, \"target\": 398328}, {\"source\": 410028, \"target\": 216785}, {\"source\": 410028, \"target\": 588156}, {\"source\": 410029, \"target\": 21469}, {\"source\": 410029, \"target\": 77172}, {\"source\": 410029, \"target\": 216785}, {\"source\": 410029, \"target\": 588156}, {\"source\": 216785, \"target\": 21469}, {\"source\": 216785, \"target\": 77172}, {\"source\": 216785, \"target\": 297428}, {\"source\": 216785, \"target\": 398328}, {\"source\": 216785, \"target\": 851163}, {\"source\": 216785, \"target\": 851164}, {\"source\": 297428, \"target\": 181887}, {\"source\": 297428, \"target\": 398328}, {\"source\": 297428, \"target\": 588156}, {\"source\": 77172, \"target\": 21469}, {\"source\": 77172, \"target\": 588156}, {\"source\": 398328, \"target\": 181887}, {\"source\": 398328, \"target\": 588156}, {\"source\": 588156, \"target\": 21469}]}", "id": 741, "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\nProblem to Solve\n\n- Authors in the network: Surya N. Kavuri, Kewen Yin, Sirkka-Liisa Jämsä-Jounela, Celso J. Munaro, Sirish L. Shah, Nina F. Thornhill, Venkat Venkatasubramanian, Tongwen Chen, Margret Bauer, Raghunathan Rengaswamy, Rinat Landman, Jukka Kortela, Fan Yang, Thomas Parisini\n- Research collaborations between these authors: Surya N. Kavuri and Thomas Parisini, Surya N. Kavuri and Nina F. Thornhill, Surya N. Kavuri and Venkat Venkatasubramanian, Surya N. Kavuri and Raghunathan Rengaswamy, Surya N. Kavuri and Margret Bauer, Surya N. Kavuri and Sirkka-Liisa Jämsä-Jounela, Kewen Yin and Thomas Parisini, Kewen Yin and Nina F. Thornhill, Kewen Yin and Venkat Venkatasubramanian, Kewen Yin and Raghunathan Rengaswamy, Kewen Yin and Sirkka-Liisa Jämsä-Jounela, Sirkka-Liisa Jämsä-Jounela and Nina F. Thornhill, Sirkka-Liisa Jämsä-Jounela and Venkat Venkatasubramanian, Sirkka-Liisa Jämsä-Jounela and Raghunathan Rengaswamy, Celso J. Munaro and Nina F. Thornhill, Celso J. Munaro and Margret Bauer, Sirish L. Shah and Fan Yang, Sirish L. Shah and Tongwen Chen, Sirish L. Shah and Nina F. Thornhill, Sirish L. Shah and Margret Bauer, Nina F. Thornhill and Fan Yang, Nina F. Thornhill and Tongwen Chen, Nina F. Thornhill and Venkat Venkatasubramanian, Nina F. Thornhill and Raghunathan Rengaswamy, Nina F. Thornhill and Rinat Landman, Nina F. Thornhill and Jukka Kortela, Venkat Venkatasubramanian and Thomas Parisini, Venkat Venkatasubramanian and Raghunathan Rengaswamy, Venkat Venkatasubramanian and Margret Bauer, Tongwen Chen and Fan Yang, Tongwen Chen and Margret Bauer, Margret Bauer and Fan Yang, Margret Bauer and Raghunathan Rengaswamy, Raghunathan Rengaswamy and Thomas Parisini.\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\nProblem to Solve\n\n- Authors in the network: Stephan Weiss, Roland Siegwart, Stefano Soatto, Margarita Chli, Giuseppe Loianno, Luca Carlone, Gaurav S. Sukhatme, Salah Sukkarieh, Agostino Martinelli, Vijay Kumar, Joel A. Hesch, Stergios I. Roumeliotis, Davide Scaramuzza, Paul Timothy Furgale\n- Research collaborations between these authors: Stephan Weiss and Vijay Kumar, Stephan Weiss and Roland Siegwart, Stephan Weiss and Stergios I. Roumeliotis, Stephan Weiss and Joel A. Hesch, Stephan Weiss and Gaurav S. Sukhatme, Stephan Weiss and Salah Sukkarieh, Stephan Weiss and Davide Scaramuzza, Stephan Weiss and Agostino Martinelli, Stephan Weiss and Margarita Chli, Stephan Weiss and Paul Timothy Furgale, Stephan Weiss and Giuseppe Loianno, Roland Siegwart and Luca Carlone, Roland Siegwart and Vijay Kumar, Roland Siegwart and Stefano Soatto, Roland Siegwart and Stergios I. Roumeliotis, Roland Siegwart and Salah Sukkarieh, Roland Siegwart and Joel A. Hesch, Roland Siegwart and Gaurav S. Sukhatme, Roland Siegwart and Davide Scaramuzza, Roland Siegwart and Agostino Martinelli, Roland Siegwart and Paul Timothy Furgale, Roland Siegwart and Margarita Chli, Roland Siegwart and Giuseppe Loianno, Stefano Soatto and Luca Carlone, Stefano Soatto and Vijay Kumar, Stefano Soatto and Stergios I. Roumeliotis, Stefano Soatto and Gaurav S. Sukhatme, Stefano Soatto and Margarita Chli, Stefano Soatto and Joel A. Hesch, Stefano Soatto and Davide Scaramuzza, Stefano Soatto and Agostino Martinelli, Stefano Soatto and Paul Timothy Furgale, Stefano Soatto and Giuseppe Loianno, Margarita Chli and Vijay Kumar, Margarita Chli and Stergios I. Roumeliotis, Margarita Chli and Joel A. Hesch, Margarita Chli and Gaurav S. Sukhatme, Margarita Chli and Davide Scaramuzza, Margarita Chli and Agostino Martinelli, Margarita Chli and Paul Timothy Furgale, Margarita Chli and Salah Sukkarieh, Giuseppe Loianno and Vijay Kumar, Giuseppe Loianno and Stergios I. Roumeliotis, Giuseppe Loianno and Joel A. Hesch, Giuseppe Loianno and Gaurav S. Sukhatme, Giuseppe Loianno and Davide Scaramuzza, Giuseppe Loianno and Agostino Martinelli, Luca Carlone and Stergios I. Roumeliotis, Luca Carlone and Salah Sukkarieh, Luca Carlone and Joel A. Hesch, Luca Carlone and Gaurav S. Sukhatme, Luca Carlone and Davide Scaramuzza, Luca Carlone and Agostino Martinelli, Luca Carlone and Paul Timothy Furgale, Gaurav S. Sukhatme and Vijay Kumar, Gaurav S. Sukhatme and Stergios I. Roumeliotis, Gaurav S. Sukhatme and Salah Sukkarieh, Gaurav S. Sukhatme and Joel A. Hesch, Gaurav S. Sukhatme and Davide Scaramuzza, Gaurav S. Sukhatme and Agostino Martinelli, Gaurav S. Sukhatme and Paul Timothy Furgale, Salah Sukkarieh and Vijay Kumar, Salah Sukkarieh and Stergios I. Roumeliotis, Salah Sukkarieh and Joel A. Hesch, Salah Sukkarieh and Davide Scaramuzza, Salah Sukkarieh and Agostino Martinelli, Agostino Martinelli and Vijay Kumar, Agostino Martinelli and Stergios I. Roumeliotis, Agostino Martinelli and Joel A. Hesch, Agostino Martinelli and Davide Scaramuzza, Vijay Kumar and Stergios I. Roumeliotis, Vijay Kumar and Joel A. Hesch, Vijay Kumar and Davide Scaramuzza, Vijay Kumar and Paul Timothy Furgale, Joel A. Hesch and Stergios I. Roumeliotis, Joel A. Hesch and Davide Scaramuzza, Joel A. Hesch and Paul Timothy Furgale, Stergios I. Roumeliotis and Davide Scaramuzza, Stergios I. Roumeliotis and Paul Timothy Furgale, Davide Scaramuzza and Paul Timothy Furgale.\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\": \"Stephan Weiss\", \"id\": 214304}, {\"name\": \"Roland Siegwart\", \"id\": 18306}, {\"name\": \"Stefano Soatto\", \"id\": 17732}, {\"name\": \"Margarita Chli\", \"id\": 291751}, {\"name\": \"Giuseppe Loianno\", \"id\": 284393}, {\"name\": \"Luca Carlone\", \"id\": 12010}, {\"name\": \"Gaurav S. Sukhatme\", \"id\": 124617}, {\"name\": \"Salah Sukkarieh\", \"id\": 46093}, {\"name\": \"Paul Timothy Furgale\", \"id\": 255871}, {\"name\": \"Vijay Kumar\", \"id\": 17368}, {\"name\": \"Agostino Martinelli\", \"id\": 248504}, {\"name\": \"Stergios I. Roumeliotis\", \"id\": 36637}, {\"name\": \"Davide Scaramuzza\", \"id\": 221566}, {\"name\": \"Joel A. Hesch\", \"id\": 110495}], \"links\": [{\"source\": 214304, \"target\": 17368}, {\"source\": 214304, \"target\": 18306}, {\"source\": 214304, \"target\": 36637}, {\"source\": 214304, \"target\": 110495}, {\"source\": 214304, \"target\": 124617}, {\"source\": 214304, \"target\": 46093}, {\"source\": 214304, \"target\": 221566}, {\"source\": 214304, \"target\": 248504}, {\"source\": 214304, \"target\": 291751}, {\"source\": 214304, \"target\": 255871}, {\"source\": 214304, \"target\": 284393}, {\"source\": 18306, \"target\": 12010}, {\"source\": 18306, \"target\": 17368}, {\"source\": 18306, \"target\": 17732}, {\"source\": 18306, \"target\": 36637}, {\"source\": 18306, \"target\": 46093}, {\"source\": 18306, \"target\": 110495}, {\"source\": 18306, \"target\": 124617}, {\"source\": 18306, \"target\": 221566}, {\"source\": 18306, \"target\": 248504}, {\"source\": 18306, \"target\": 255871}, {\"source\": 18306, \"target\": 291751}, {\"source\": 18306, \"target\": 284393}, {\"source\": 17732, \"target\": 12010}, {\"source\": 17732, \"target\": 17368}, {\"source\": 17732, \"target\": 36637}, {\"source\": 17732, \"target\": 124617}, {\"source\": 17732, \"target\": 291751}, {\"source\": 17732, \"target\": 110495}, {\"source\": 17732, \"target\": 221566}, {\"source\": 17732, \"target\": 248504}, {\"source\": 17732, \"target\": 255871}, {\"source\": 17732, \"target\": 284393}, {\"source\": 291751, \"target\": 17368}, {\"source\": 291751, \"target\": 36637}, {\"source\": 291751, \"target\": 110495}, {\"source\": 291751, \"target\": 124617}, {\"source\": 291751, \"target\": 221566}, {\"source\": 291751, \"target\": 248504}, {\"source\": 291751, \"target\": 255871}, {\"source\": 291751, \"target\": 46093}, {\"source\": 284393, \"target\": 17368}, {\"source\": 284393, \"target\": 36637}, {\"source\": 284393, \"target\": 110495}, {\"source\": 284393, \"target\": 124617}, {\"source\": 284393, \"target\": 221566}, {\"source\": 284393, \"target\": 248504}, {\"source\": 12010, \"target\": 36637}, {\"source\": 12010, \"target\": 46093}, {\"source\": 12010, \"target\": 110495}, {\"source\": 12010, \"target\": 124617}, {\"source\": 12010, \"target\": 221566}, {\"source\": 12010, \"target\": 248504}, {\"source\": 12010, \"target\": 255871}, {\"source\": 124617, \"target\": 17368}, {\"source\": 124617, \"target\": 36637}, {\"source\": 124617, \"target\": 46093}, {\"source\": 124617, \"target\": 110495}, {\"source\": 124617, \"target\": 221566}, {\"source\": 124617, \"target\": 248504}, {\"source\": 124617, \"target\": 255871}, {\"source\": 46093, \"target\": 17368}, {\"source\": 46093, \"target\": 36637}, {\"source\": 46093, \"target\": 110495}, {\"source\": 46093, \"target\": 221566}, {\"source\": 46093, \"target\": 248504}, {\"source\": 255871, \"target\": 17368}, {\"source\": 255871, \"target\": 221566}, {\"source\": 255871, \"target\": 36637}, {\"source\": 255871, \"target\": 110495}, {\"source\": 17368, \"target\": 36637}, {\"source\": 17368, \"target\": 110495}, {\"source\": 17368, \"target\": 221566}, {\"source\": 17368, \"target\": 248504}, {\"source\": 248504, \"target\": 36637}, {\"source\": 248504, \"target\": 110495}, {\"source\": 248504, \"target\": 221566}, {\"source\": 36637, \"target\": 110495}, {\"source\": 36637, \"target\": 221566}, {\"source\": 221566, \"target\": 110495}]}", "id": 1051, "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\nProblem to Solve\n\n- Authors in the network: Stephan Weiss, Roland Siegwart, Stefano Soatto, Margarita Chli, Giuseppe Loianno, Luca Carlone, Gaurav S. Sukhatme, Salah Sukkarieh, Agostino Martinelli, Vijay Kumar, Joel A. Hesch, Stergios I. Roumeliotis, Davide Scaramuzza, Paul Timothy Furgale\n- Research collaborations between these authors: Stephan Weiss and Vijay Kumar, Stephan Weiss and Roland Siegwart, Stephan Weiss and Stergios I. Roumeliotis, Stephan Weiss and Joel A. Hesch, Stephan Weiss and Gaurav S. Sukhatme, Stephan Weiss and Salah Sukkarieh, Stephan Weiss and Davide Scaramuzza, Stephan Weiss and Agostino Martinelli, Stephan Weiss and Margarita Chli, Stephan Weiss and Paul Timothy Furgale, Stephan Weiss and Giuseppe Loianno, Roland Siegwart and Luca Carlone, Roland Siegwart and Vijay Kumar, Roland Siegwart and Stefano Soatto, Roland Siegwart and Stergios I. Roumeliotis, Roland Siegwart and Salah Sukkarieh, Roland Siegwart and Joel A. Hesch, Roland Siegwart and Gaurav S. Sukhatme, Roland Siegwart and Davide Scaramuzza, Roland Siegwart and Agostino Martinelli, Roland Siegwart and Paul Timothy Furgale, Roland Siegwart and Margarita Chli, Roland Siegwart and Giuseppe Loianno, Stefano Soatto and Luca Carlone, Stefano Soatto and Vijay Kumar, Stefano Soatto and Stergios I. Roumeliotis, Stefano Soatto and Gaurav S. Sukhatme, Stefano Soatto and Margarita Chli, Stefano Soatto and Joel A. Hesch, Stefano Soatto and Davide Scaramuzza, Stefano Soatto and Agostino Martinelli, Stefano Soatto and Paul Timothy Furgale, Stefano Soatto and Giuseppe Loianno, Margarita Chli and Vijay Kumar, Margarita Chli and Stergios I. Roumeliotis, Margarita Chli and Joel A. Hesch, Margarita Chli and Gaurav S. Sukhatme, Margarita Chli and Davide Scaramuzza, Margarita Chli and Agostino Martinelli, Margarita Chli and Paul Timothy Furgale, Margarita Chli and Salah Sukkarieh, Giuseppe Loianno and Vijay Kumar, Giuseppe Loianno and Stergios I. Roumeliotis, Giuseppe Loianno and Joel A. Hesch, Giuseppe Loianno and Gaurav S. Sukhatme, Giuseppe Loianno and Davide Scaramuzza, Giuseppe Loianno and Agostino Martinelli, Luca Carlone and Stergios I. Roumeliotis, Luca Carlone and Salah Sukkarieh, Luca Carlone and Joel A. Hesch, Luca Carlone and Gaurav S. Sukhatme, Luca Carlone and Davide Scaramuzza, Luca Carlone and Agostino Martinelli, Luca Carlone and Paul Timothy Furgale, Gaurav S. Sukhatme and Vijay Kumar, Gaurav S. Sukhatme and Stergios I. Roumeliotis, Gaurav S. Sukhatme and Salah Sukkarieh, Gaurav S. Sukhatme and Joel A. Hesch, Gaurav S. Sukhatme and Davide Scaramuzza, Gaurav S. Sukhatme and Agostino Martinelli, Gaurav S. Sukhatme and Paul Timothy Furgale, Salah Sukkarieh and Vijay Kumar, Salah Sukkarieh and Stergios I. Roumeliotis, Salah Sukkarieh and Joel A. Hesch, Salah Sukkarieh and Davide Scaramuzza, Salah Sukkarieh and Agostino Martinelli, Agostino Martinelli and Vijay Kumar, Agostino Martinelli and Stergios I. Roumeliotis, Agostino Martinelli and Joel A. Hesch, Agostino Martinelli and Davide Scaramuzza, Vijay Kumar and Stergios I. Roumeliotis, Vijay Kumar and Joel A. Hesch, Vijay Kumar and Davide Scaramuzza, Vijay Kumar and Paul Timothy Furgale, Joel A. Hesch and Stergios I. Roumeliotis, Joel A. Hesch and Davide Scaramuzza, Joel A. Hesch and Paul Timothy Furgale, Stergios I. Roumeliotis and Davide Scaramuzza, Stergios I. Roumeliotis and Paul Timothy Furgale, Davide Scaramuzza and Paul Timothy Furgale.\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\nProblem to Solve\n\n- Authors in the network: Xavier Pennec, Grégoire Malandain, Vincent Arsigny, Nicholas Ayache, Arthur W. Toga, Oscar L. Lopez, Paul M. Thompson, Kenichi Hagihara, Pierre Fillard, Radu Stefanescu, Olivier Commowick, Alexis Roche, Caroline Brun, Bruce Fischl\n- Research collaborations between these authors: Xavier Pennec and Grégoire Malandain, Xavier Pennec and Nicholas Ayache, Xavier Pennec and Caroline Brun, Xavier Pennec and Paul M. Thompson, Xavier Pennec and Arthur W. Toga, Xavier Pennec and Olivier Commowick, Xavier Pennec and Pierre Fillard, Xavier Pennec and Bruce Fischl, Xavier Pennec and Alexis Roche, Xavier Pennec and Vincent Arsigny, Xavier Pennec and Radu Stefanescu, Xavier Pennec and Oscar L. Lopez, Xavier Pennec and Kenichi Hagihara, Grégoire Malandain and Nicholas Ayache, Grégoire Malandain and Paul M. Thompson, Grégoire Malandain and Olivier Commowick, Grégoire Malandain and Alexis Roche, Grégoire Malandain and Vincent Arsigny, Grégoire Malandain and Radu Stefanescu, Vincent Arsigny and Nicholas Ayache, Vincent Arsigny and Caroline Brun, Vincent Arsigny and Paul M. Thompson, Vincent Arsigny and Arthur W. Toga, Vincent Arsigny and Olivier Commowick, Vincent Arsigny and Pierre Fillard, Vincent Arsigny and Bruce Fischl, Vincent Arsigny and Radu Stefanescu, Vincent Arsigny and Oscar L. Lopez, Nicholas Ayache and Paul M. Thompson, Nicholas Ayache and Arthur W. Toga, Nicholas Ayache and Olivier Commowick, Nicholas Ayache and Pierre Fillard, Nicholas Ayache and Bruce Fischl, Nicholas Ayache and Alexis Roche, Nicholas Ayache and Radu Stefanescu, Nicholas Ayache and Caroline Brun, Nicholas Ayache and Oscar L. Lopez, Arthur W. Toga and Caroline Brun, Arthur W. Toga and Paul M. Thompson, Arthur W. Toga and Pierre Fillard, Arthur W. Toga and Bruce Fischl, Arthur W. Toga and Alexis Roche, Arthur W. Toga and Radu Stefanescu, Arthur W. Toga and Oscar L. Lopez, Arthur W. Toga and Olivier Commowick, Oscar L. Lopez and Caroline Brun, Oscar L. Lopez and Paul M. Thompson, Oscar L. Lopez and Pierre Fillard, Oscar L. Lopez and Radu Stefanescu, Paul M. Thompson and Caroline Brun, Paul M. Thompson and Pierre Fillard, Paul M. Thompson and Bruce Fischl, Paul M. Thompson and Alexis Roche, Paul M. Thompson and Radu Stefanescu, Paul M. Thompson and Olivier Commowick, Kenichi Hagihara and Radu Stefanescu, Pierre Fillard and Caroline Brun, Pierre Fillard and Olivier Commowick, Pierre Fillard and Bruce Fischl, Pierre Fillard and Radu Stefanescu, Radu Stefanescu and Caroline Brun, Radu Stefanescu and Olivier Commowick, Radu Stefanescu and Bruce Fischl, Radu Stefanescu and Alexis Roche, Olivier Commowick and Alexis Roche, Olivier Commowick and Bruce Fischl.\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\": \"Xavier Pennec\", \"id\": 737}, {\"name\": \"Gr\\u00e9goire Malandain\", \"id\": 738}, {\"name\": \"Vincent Arsigny\", \"id\": 228705}, {\"name\": \"Nicholas Ayache\", \"id\": 740}, {\"name\": \"Arthur W. Toga\", \"id\": 24773}, {\"name\": \"Oscar L. Lopez\", \"id\": 304331}, {\"name\": \"Paul M. Thompson\", \"id\": 24364}, {\"name\": \"Kenichi Hagihara\", \"id\": 61900}, {\"name\": \"Pierre Fillard\", \"id\": 69358}, {\"name\": \"Radu Stefanescu\", \"id\": 270799}, {\"name\": \"Olivier Commowick\", \"id\": 39087}, {\"name\": \"Alexis Roche\", \"id\": 215121}, {\"name\": \"Caroline Brun\", \"id\": 4274}, {\"name\": \"Bruce Fischl\", \"id\": 124115}], \"links\": [{\"source\": 737, \"target\": 738}, {\"source\": 737, \"target\": 740}, {\"source\": 737, \"target\": 4274}, {\"source\": 737, \"target\": 24364}, {\"source\": 737, \"target\": 24773}, {\"source\": 737, \"target\": 39087}, {\"source\": 737, \"target\": 69358}, {\"source\": 737, \"target\": 124115}, {\"source\": 737, \"target\": 215121}, {\"source\": 737, \"target\": 228705}, {\"source\": 737, \"target\": 270799}, {\"source\": 737, \"target\": 304331}, {\"source\": 737, \"target\": 61900}, {\"source\": 738, \"target\": 740}, {\"source\": 738, \"target\": 24364}, {\"source\": 738, \"target\": 39087}, {\"source\": 738, \"target\": 215121}, {\"source\": 738, \"target\": 228705}, {\"source\": 738, \"target\": 270799}, {\"source\": 228705, \"target\": 740}, {\"source\": 228705, \"target\": 4274}, {\"source\": 228705, \"target\": 24364}, {\"source\": 228705, \"target\": 24773}, {\"source\": 228705, \"target\": 39087}, {\"source\": 228705, \"target\": 69358}, {\"source\": 228705, \"target\": 124115}, {\"source\": 228705, \"target\": 270799}, {\"source\": 228705, \"target\": 304331}, {\"source\": 740, \"target\": 24364}, {\"source\": 740, \"target\": 24773}, {\"source\": 740, \"target\": 39087}, {\"source\": 740, \"target\": 69358}, {\"source\": 740, \"target\": 124115}, {\"source\": 740, \"target\": 215121}, {\"source\": 740, \"target\": 270799}, {\"source\": 740, \"target\": 4274}, {\"source\": 740, \"target\": 304331}, {\"source\": 24773, \"target\": 4274}, {\"source\": 24773, \"target\": 24364}, {\"source\": 24773, \"target\": 69358}, {\"source\": 24773, \"target\": 124115}, {\"source\": 24773, \"target\": 215121}, {\"source\": 24773, \"target\": 270799}, {\"source\": 24773, \"target\": 304331}, {\"source\": 24773, \"target\": 39087}, {\"source\": 304331, \"target\": 4274}, {\"source\": 304331, \"target\": 24364}, {\"source\": 304331, \"target\": 69358}, {\"source\": 304331, \"target\": 270799}, {\"source\": 24364, \"target\": 4274}, {\"source\": 24364, \"target\": 69358}, {\"source\": 24364, \"target\": 124115}, {\"source\": 24364, \"target\": 215121}, {\"source\": 24364, \"target\": 270799}, {\"source\": 24364, \"target\": 39087}, {\"source\": 61900, \"target\": 270799}, {\"source\": 69358, \"target\": 4274}, {\"source\": 69358, \"target\": 39087}, {\"source\": 69358, \"target\": 124115}, {\"source\": 69358, \"target\": 270799}, {\"source\": 270799, \"target\": 4274}, {\"source\": 270799, \"target\": 39087}, {\"source\": 270799, \"target\": 124115}, {\"source\": 270799, \"target\": 215121}, {\"source\": 39087, \"target\": 215121}, {\"source\": 39087, \"target\": 124115}]}", "id": 2690, "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\nProblem to Solve\n\n- Authors in the network: Xavier Pennec, Grégoire Malandain, Vincent Arsigny, Nicholas Ayache, Arthur W. Toga, Oscar L. Lopez, Paul M. Thompson, Kenichi Hagihara, Pierre Fillard, Radu Stefanescu, Olivier Commowick, Alexis Roche, Caroline Brun, Bruce Fischl\n- Research collaborations between these authors: Xavier Pennec and Grégoire Malandain, Xavier Pennec and Nicholas Ayache, Xavier Pennec and Caroline Brun, Xavier Pennec and Paul M. Thompson, Xavier Pennec and Arthur W. Toga, Xavier Pennec and Olivier Commowick, Xavier Pennec and Pierre Fillard, Xavier Pennec and Bruce Fischl, Xavier Pennec and Alexis Roche, Xavier Pennec and Vincent Arsigny, Xavier Pennec and Radu Stefanescu, Xavier Pennec and Oscar L. Lopez, Xavier Pennec and Kenichi Hagihara, Grégoire Malandain and Nicholas Ayache, Grégoire Malandain and Paul M. Thompson, Grégoire Malandain and Olivier Commowick, Grégoire Malandain and Alexis Roche, Grégoire Malandain and Vincent Arsigny, Grégoire Malandain and Radu Stefanescu, Vincent Arsigny and Nicholas Ayache, Vincent Arsigny and Caroline Brun, Vincent Arsigny and Paul M. Thompson, Vincent Arsigny and Arthur W. Toga, Vincent Arsigny and Olivier Commowick, Vincent Arsigny and Pierre Fillard, Vincent Arsigny and Bruce Fischl, Vincent Arsigny and Radu Stefanescu, Vincent Arsigny and Oscar L. Lopez, Nicholas Ayache and Paul M. Thompson, Nicholas Ayache and Arthur W. Toga, Nicholas Ayache and Olivier Commowick, Nicholas Ayache and Pierre Fillard, Nicholas Ayache and Bruce Fischl, Nicholas Ayache and Alexis Roche, Nicholas Ayache and Radu Stefanescu, Nicholas Ayache and Caroline Brun, Nicholas Ayache and Oscar L. Lopez, Arthur W. Toga and Caroline Brun, Arthur W. Toga and Paul M. Thompson, Arthur W. Toga and Pierre Fillard, Arthur W. Toga and Bruce Fischl, Arthur W. Toga and Alexis Roche, Arthur W. Toga and Radu Stefanescu, Arthur W. Toga and Oscar L. Lopez, Arthur W. Toga and Olivier Commowick, Oscar L. Lopez and Caroline Brun, Oscar L. Lopez and Paul M. Thompson, Oscar L. Lopez and Pierre Fillard, Oscar L. Lopez and Radu Stefanescu, Paul M. Thompson and Caroline Brun, Paul M. Thompson and Pierre Fillard, Paul M. Thompson and Bruce Fischl, Paul M. Thompson and Alexis Roche, Paul M. Thompson and Radu Stefanescu, Paul M. Thompson and Olivier Commowick, Kenichi Hagihara and Radu Stefanescu, Pierre Fillard and Caroline Brun, Pierre Fillard and Olivier Commowick, Pierre Fillard and Bruce Fischl, Pierre Fillard and Radu Stefanescu, Radu Stefanescu and Caroline Brun, Radu Stefanescu and Olivier Commowick, Radu Stefanescu and Bruce Fischl, Radu Stefanescu and Alexis Roche, Olivier Commowick and Alexis Roche, Olivier Commowick and Bruce Fischl.\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\nProblem to Solve\n\n- Authors in the network: Zhonghua Li, Alexandros Nanopoulos, Jugurta Montalvão, T. Meyarivan, Fabrício Olivetti de França, Guilherme Palermo Coelho, George M. Church, Junwan Liu, Chunhui He, Federico Divina, Sergio Santander-Jiménez, André L. V. Coelho, Panagiotis Symeonidis, Apostolos N. Papadopoulos\n- Research collaborations between these authors: Zhonghua Li and Guilherme Palermo Coelho, Zhonghua Li and Chunhui He, Alexandros Nanopoulos and Apostolos N. Papadopoulos, Alexandros Nanopoulos and Panagiotis Symeonidis, Alexandros Nanopoulos and Fabrício Olivetti de França, Alexandros Nanopoulos and Guilherme Palermo Coelho, Jugurta Montalvão and Guilherme Palermo Coelho, T. Meyarivan and Sergio Santander-Jiménez, T. Meyarivan and Fabrício Olivetti de França, T. Meyarivan and Guilherme Palermo Coelho, T. Meyarivan and Junwan Liu, Fabrício Olivetti de França and André L. V. Coelho, Fabrício Olivetti de França and Federico Divina, Fabrício Olivetti de França and Apostolos N. Papadopoulos, Fabrício Olivetti de França and Guilherme Palermo Coelho, Fabrício Olivetti de França and Panagiotis Symeonidis, Fabrício Olivetti de França and George M. Church, Fabrício Olivetti de França and Junwan Liu, Guilherme Palermo Coelho and Sergio Santander-Jiménez, Guilherme Palermo Coelho and André L. V. Coelho, Guilherme Palermo Coelho and Federico Divina, Guilherme Palermo Coelho and Apostolos N. Papadopoulos, Guilherme Palermo Coelho and Panagiotis Symeonidis, Guilherme Palermo Coelho and George M. Church, Guilherme Palermo Coelho and Junwan Liu, Guilherme Palermo Coelho and Chunhui He, George M. Church and Federico Divina, George M. Church and Junwan Liu, Junwan Liu and Federico Divina.\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\": \"Zhonghua Li\", \"id\": 44320}, {\"name\": \"Alexandros Nanopoulos\", \"id\": 10848}, {\"name\": \"Jugurta Montalv\\u00e3o\", \"id\": 144674}, {\"name\": \"T. Meyarivan\", \"id\": 460612}, {\"name\": \"Fabr\\u00edcio Olivetti de Fran\\u00e7a\", \"id\": 86054}, {\"name\": \"Guilherme Palermo Coelho\", \"id\": 86055}, {\"name\": \"George M. Church\", \"id\": 245352}, {\"name\": \"Junwan Liu\", \"id\": 236807}, {\"name\": \"Chunhui He\", \"id\": 556518}, {\"name\": \"Federico Divina\", \"id\": 11181}, {\"name\": \"Sergio Santander-Jim\\u00e9nez\", \"id\": 11792}, {\"name\": \"Andr\\u00e9 L. V. Coelho\", \"id\": 83987}, {\"name\": \"Panagiotis Symeonidis\", \"id\": 111415}, {\"name\": \"Apostolos N. Papadopoulos\", \"id\": 25468}], \"links\": [{\"source\": 44320, \"target\": 86055}, {\"source\": 44320, \"target\": 556518}, {\"source\": 10848, \"target\": 25468}, {\"source\": 10848, \"target\": 111415}, {\"source\": 10848, \"target\": 86054}, {\"source\": 10848, \"target\": 86055}, {\"source\": 144674, \"target\": 86055}, {\"source\": 460612, \"target\": 11792}, {\"source\": 460612, \"target\": 86054}, {\"source\": 460612, \"target\": 86055}, {\"source\": 460612, \"target\": 236807}, {\"source\": 86054, \"target\": 83987}, {\"source\": 86054, \"target\": 11181}, {\"source\": 86054, \"target\": 25468}, {\"source\": 86054, \"target\": 86055}, {\"source\": 86054, \"target\": 111415}, {\"source\": 86054, \"target\": 245352}, {\"source\": 86054, \"target\": 236807}, {\"source\": 86055, \"target\": 11792}, {\"source\": 86055, \"target\": 83987}, {\"source\": 86055, \"target\": 11181}, {\"source\": 86055, \"target\": 25468}, {\"source\": 86055, \"target\": 111415}, {\"source\": 86055, \"target\": 245352}, {\"source\": 86055, \"target\": 236807}, {\"source\": 86055, \"target\": 556518}, {\"source\": 245352, \"target\": 11181}, {\"source\": 245352, \"target\": 236807}, {\"source\": 236807, \"target\": 11181}]}", "id": 2198, "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\nProblem to Solve\n\n- Authors in the network: Zhonghua Li, Alexandros Nanopoulos, Jugurta Montalvão, T. Meyarivan, Fabrício Olivetti de França, Guilherme Palermo Coelho, George M. Church, Junwan Liu, Chunhui He, Federico Divina, Sergio Santander-Jiménez, André L. V. Coelho, Panagiotis Symeonidis, Apostolos N. Papadopoulos\n- Research collaborations between these authors: Zhonghua Li and Guilherme Palermo Coelho, Zhonghua Li and Chunhui He, Alexandros Nanopoulos and Apostolos N. Papadopoulos, Alexandros Nanopoulos and Panagiotis Symeonidis, Alexandros Nanopoulos and Fabrício Olivetti de França, Alexandros Nanopoulos and Guilherme Palermo Coelho, Jugurta Montalvão and Guilherme Palermo Coelho, T. Meyarivan and Sergio Santander-Jiménez, T. Meyarivan and Fabrício Olivetti de França, T. Meyarivan and Guilherme Palermo Coelho, T. Meyarivan and Junwan Liu, Fabrício Olivetti de França and André L. V. Coelho, Fabrício Olivetti de França and Federico Divina, Fabrício Olivetti de França and Apostolos N. Papadopoulos, Fabrício Olivetti de França and Guilherme Palermo Coelho, Fabrício Olivetti de França and Panagiotis Symeonidis, Fabrício Olivetti de França and George M. Church, Fabrício Olivetti de França and Junwan Liu, Guilherme Palermo Coelho and Sergio Santander-Jiménez, Guilherme Palermo Coelho and André L. V. Coelho, Guilherme Palermo Coelho and Federico Divina, Guilherme Palermo Coelho and Apostolos N. Papadopoulos, Guilherme Palermo Coelho and Panagiotis Symeonidis, Guilherme Palermo Coelho and George M. Church, Guilherme Palermo Coelho and Junwan Liu, Guilherme Palermo Coelho and Chunhui He, George M. Church and Federico Divina, George M. Church and Junwan Liu, Junwan Liu and Federico Divina.\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\nProblem to Solve\n\n- Authors in the network: Mounir A. Tantaoui, Bernd Girod, Meng Zhang, Xing Jin, Tai T. Do, Xiao Su, Jeonghun Noh, Yoshimasa Ishi, Yang-hua Chu, Shiqiang Yang, Deng Li, Yuuichi Teranishi, Yong Cui, Kien A. Hua\n- Research collaborations between these authors: Mounir A. Tantaoui and Shiqiang Yang, Mounir A. Tantaoui and Kien A. Hua, Mounir A. Tantaoui and Xing Jin, Mounir A. Tantaoui and Tai T. Do, Bernd Girod and Shiqiang Yang, Bernd Girod and Kien A. Hua, Bernd Girod and Tai T. Do, Bernd Girod and Yang-hua Chu, Bernd Girod and Jeonghun Noh, Meng Zhang and Shiqiang Yang, Meng Zhang and Kien A. Hua, Meng Zhang and Tai T. Do, Meng Zhang and Yang-hua Chu, Xing Jin and Kien A. Hua, Xing Jin and Tai T. Do, Xing Jin and Yang-hua Chu, Xing Jin and Yuuichi Teranishi, Xing Jin and Yoshimasa Ishi, Tai T. Do and Yong Cui, Tai T. Do and Shiqiang Yang, Tai T. Do and Kien A. Hua, Tai T. Do and Yuuichi Teranishi, Tai T. Do and Xiao Su, Tai T. Do and Deng Li, Tai T. Do and Yang-hua Chu, Tai T. Do and Yoshimasa Ishi, Tai T. Do and Jeonghun Noh, Xiao Su and Kien A. Hua, Xiao Su and Yang-hua Chu, Jeonghun Noh and Kien A. Hua, Jeonghun Noh and Yang-hua Chu, Yoshimasa Ishi and Yuuichi Teranishi, Yoshimasa Ishi and Kien A. Hua, Yang-hua Chu and Yong Cui, Yang-hua Chu and Shiqiang Yang, Yang-hua Chu and Kien A. Hua, Shiqiang Yang and Kien A. Hua, Deng Li and Kien A. Hua, Yuuichi Teranishi and Kien A. Hua, Yong Cui and Kien A. Hua.\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\": \"Mounir A. Tantaoui\", \"id\": 325665}, {\"name\": \"Bernd Girod\", \"id\": 110632}, {\"name\": \"Xing Jin\", \"id\": 164168}, {\"name\": \"Meng Zhang\", \"id\": 32105}, {\"name\": \"Tai T. Do\", \"id\": 256395}, {\"name\": \"Xiao Su\", \"id\": 211403}, {\"name\": \"Jeonghun Noh\", \"id\": 627752}, {\"name\": \"Yoshimasa Ishi\", \"id\": 268623}, {\"name\": \"Yang-hua Chu\", \"id\": 279924}, {\"name\": \"Shiqiang Yang\", \"id\": 47540}, {\"name\": \"Deng Li\", \"id\": 235029}, {\"name\": \"Yuuichi Teranishi\", \"id\": 196790}, {\"name\": \"Yong Cui\", \"id\": 25846}, {\"name\": \"Kien A. Hua\", \"id\": 112090}], \"links\": [{\"source\": 325665, \"target\": 47540}, {\"source\": 325665, \"target\": 112090}, {\"source\": 325665, \"target\": 164168}, {\"source\": 325665, \"target\": 256395}, {\"source\": 110632, \"target\": 47540}, {\"source\": 110632, \"target\": 112090}, {\"source\": 110632, \"target\": 256395}, {\"source\": 110632, \"target\": 279924}, {\"source\": 110632, \"target\": 627752}, {\"source\": 164168, \"target\": 112090}, {\"source\": 164168, \"target\": 256395}, {\"source\": 164168, \"target\": 279924}, {\"source\": 164168, \"target\": 196790}, {\"source\": 164168, \"target\": 268623}, {\"source\": 32105, \"target\": 47540}, {\"source\": 32105, \"target\": 112090}, {\"source\": 32105, \"target\": 256395}, {\"source\": 32105, \"target\": 279924}, {\"source\": 256395, \"target\": 25846}, {\"source\": 256395, \"target\": 47540}, {\"source\": 256395, \"target\": 112090}, {\"source\": 256395, \"target\": 196790}, {\"source\": 256395, \"target\": 211403}, {\"source\": 256395, \"target\": 235029}, {\"source\": 256395, \"target\": 279924}, {\"source\": 256395, \"target\": 268623}, {\"source\": 256395, \"target\": 627752}, {\"source\": 211403, \"target\": 112090}, {\"source\": 211403, \"target\": 279924}, {\"source\": 627752, \"target\": 112090}, {\"source\": 627752, \"target\": 279924}, {\"source\": 268623, \"target\": 196790}, {\"source\": 268623, \"target\": 112090}, {\"source\": 279924, \"target\": 25846}, {\"source\": 279924, \"target\": 47540}, {\"source\": 279924, \"target\": 112090}, {\"source\": 47540, \"target\": 112090}, {\"source\": 235029, \"target\": 112090}, {\"source\": 196790, \"target\": 112090}, {\"source\": 25846, \"target\": 112090}]}", "id": 925, "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\nProblem to Solve\n\n- Authors in the network: Mounir A. Tantaoui, Bernd Girod, Meng Zhang, Xing Jin, Tai T. Do, Xiao Su, Jeonghun Noh, Yoshimasa Ishi, Yang-hua Chu, Shiqiang Yang, Deng Li, Yuuichi Teranishi, Yong Cui, Kien A. Hua\n- Research collaborations between these authors: Mounir A. Tantaoui and Shiqiang Yang, Mounir A. Tantaoui and Kien A. Hua, Mounir A. Tantaoui and Xing Jin, Mounir A. Tantaoui and Tai T. Do, Bernd Girod and Shiqiang Yang, Bernd Girod and Kien A. Hua, Bernd Girod and Tai T. Do, Bernd Girod and Yang-hua Chu, Bernd Girod and Jeonghun Noh, Meng Zhang and Shiqiang Yang, Meng Zhang and Kien A. Hua, Meng Zhang and Tai T. Do, Meng Zhang and Yang-hua Chu, Xing Jin and Kien A. Hua, Xing Jin and Tai T. Do, Xing Jin and Yang-hua Chu, Xing Jin and Yuuichi Teranishi, Xing Jin and Yoshimasa Ishi, Tai T. Do and Yong Cui, Tai T. Do and Shiqiang Yang, Tai T. Do and Kien A. Hua, Tai T. Do and Yuuichi Teranishi, Tai T. Do and Xiao Su, Tai T. Do and Deng Li, Tai T. Do and Yang-hua Chu, Tai T. Do and Yoshimasa Ishi, Tai T. Do and Jeonghun Noh, Xiao Su and Kien A. Hua, Xiao Su and Yang-hua Chu, Jeonghun Noh and Kien A. Hua, Jeonghun Noh and Yang-hua Chu, Yoshimasa Ishi and Yuuichi Teranishi, Yoshimasa Ishi and Kien A. Hua, Yang-hua Chu and Yong Cui, Yang-hua Chu and Shiqiang Yang, Yang-hua Chu and Kien A. Hua, Shiqiang Yang and Kien A. Hua, Deng Li and Kien A. Hua, Yuuichi Teranishi and Kien A. Hua, Yong Cui and Kien A. Hua.\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\nProblem to Solve\n\n- Authors in the network: Wei Wang, João Alexandre Saraiva, Bogdan Vasilescu, James Clause, Samir Hasan, Zachary King, Abram Hindle, Nenad Medvidovic, Giuliano Antoniol, Premkumar T. Devanbu, Massimiliano Di Penta, Iman Keivanloo, Sjaak Brinkkemper, Tao Wei\n- Research collaborations between these authors: Wei Wang and Premkumar T. Devanbu, Wei Wang and Massimiliano Di Penta, João Alexandre Saraiva and James Clause, Bogdan Vasilescu and Abram Hindle, Bogdan Vasilescu and Premkumar T. Devanbu, James Clause and Abram Hindle, James Clause and Nenad Medvidovic, James Clause and Massimiliano Di Penta, James Clause and Tao Wei, James Clause and Giuliano Antoniol, James Clause and Samir Hasan, James Clause and Zachary King, Samir Hasan and Abram Hindle, Zachary King and Abram Hindle, Abram Hindle and Sjaak Brinkkemper, Abram Hindle and Iman Keivanloo, Abram Hindle and Giuliano Antoniol, Abram Hindle and Massimiliano Di Penta, Abram Hindle and Premkumar T. Devanbu, Nenad Medvidovic and Sjaak Brinkkemper, Nenad Medvidovic and Premkumar T. Devanbu, Giuliano Antoniol and Iman Keivanloo, Giuliano Antoniol and Premkumar T. Devanbu, Giuliano Antoniol and Massimiliano Di Penta, Premkumar T. Devanbu and Iman Keivanloo, Premkumar T. Devanbu and Massimiliano Di Penta, Massimiliano Di Penta and Iman Keivanloo.\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\": \"Wei Wang\", \"id\": 4578}, {\"name\": \"Jo\\u00e3o Alexandre Saraiva\", \"id\": 175619}, {\"name\": \"Bogdan Vasilescu\", \"id\": 188323}, {\"name\": \"James Clause\", \"id\": 87687}, {\"name\": \"Samir Hasan\", \"id\": 1236168}, {\"name\": \"Zachary King\", \"id\": 1236169}, {\"name\": \"Abram Hindle\", \"id\": 87562}, {\"name\": \"Nenad Medvidovic\", \"id\": 121964}, {\"name\": \"Giuliano Antoniol\", \"id\": 125490}, {\"name\": \"Premkumar T. Devanbu\", \"id\": 197333}, {\"name\": \"Massimiliano Di Penta\", \"id\": 231223}, {\"name\": \"Iman Keivanloo\", \"id\": 70489}, {\"name\": \"Sjaak Brinkkemper\", \"id\": 5211}, {\"name\": \"Tao Wei\", \"id\": 114653}], \"links\": [{\"source\": 4578, \"target\": 197333}, {\"source\": 4578, \"target\": 231223}, {\"source\": 175619, \"target\": 87687}, {\"source\": 188323, \"target\": 87562}, {\"source\": 188323, \"target\": 197333}, {\"source\": 87687, \"target\": 87562}, {\"source\": 87687, \"target\": 121964}, {\"source\": 87687, \"target\": 231223}, {\"source\": 87687, \"target\": 114653}, {\"source\": 87687, \"target\": 125490}, {\"source\": 87687, \"target\": 1236168}, {\"source\": 87687, \"target\": 1236169}, {\"source\": 1236168, \"target\": 87562}, {\"source\": 1236169, \"target\": 87562}, {\"source\": 87562, \"target\": 5211}, {\"source\": 87562, \"target\": 70489}, {\"source\": 87562, \"target\": 125490}, {\"source\": 87562, \"target\": 231223}, {\"source\": 87562, \"target\": 197333}, {\"source\": 121964, \"target\": 5211}, {\"source\": 121964, \"target\": 197333}, {\"source\": 125490, \"target\": 70489}, {\"source\": 125490, \"target\": 197333}, {\"source\": 125490, \"target\": 231223}, {\"source\": 197333, \"target\": 70489}, {\"source\": 197333, \"target\": 231223}, {\"source\": 231223, \"target\": 70489}]}", "id": 1031, "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\nProblem to Solve\n\n- Authors in the network: Wei Wang, João Alexandre Saraiva, Bogdan Vasilescu, James Clause, Samir Hasan, Zachary King, Abram Hindle, Nenad Medvidovic, Giuliano Antoniol, Premkumar T. Devanbu, Massimiliano Di Penta, Iman Keivanloo, Sjaak Brinkkemper, Tao Wei\n- Research collaborations between these authors: Wei Wang and Premkumar T. Devanbu, Wei Wang and Massimiliano Di Penta, João Alexandre Saraiva and James Clause, Bogdan Vasilescu and Abram Hindle, Bogdan Vasilescu and Premkumar T. Devanbu, James Clause and Abram Hindle, James Clause and Nenad Medvidovic, James Clause and Massimiliano Di Penta, James Clause and Tao Wei, James Clause and Giuliano Antoniol, James Clause and Samir Hasan, James Clause and Zachary King, Samir Hasan and Abram Hindle, Zachary King and Abram Hindle, Abram Hindle and Sjaak Brinkkemper, Abram Hindle and Iman Keivanloo, Abram Hindle and Giuliano Antoniol, Abram Hindle and Massimiliano Di Penta, Abram Hindle and Premkumar T. Devanbu, Nenad Medvidovic and Sjaak Brinkkemper, Nenad Medvidovic and Premkumar T. Devanbu, Giuliano Antoniol and Iman Keivanloo, Giuliano Antoniol and Premkumar T. Devanbu, Giuliano Antoniol and Massimiliano Di Penta, Premkumar T. Devanbu and Iman Keivanloo, Premkumar T. Devanbu and Massimiliano Di Penta, Massimiliano Di Penta and Iman Keivanloo.\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\nProblem to Solve\n\n- Authors in the network: Wen-Chung Chiang, Deborah Estrin, Changqin Huang, Ming-Feng Yang, Chao-Tung Yang, Samee Ullah Khan, Adriana Iamnitchi, Chun-Chen Hsu, Ian T. Foster, Zhengkai Wu, M. Kunze, Thomas G. Robertazzi, Francisco Javier Jaén-Martínez, Wen-Hung Hsu\n- Research collaborations between these authors: Wen-Chung Chiang and Chao-Tung Yang, Wen-Chung Chiang and Ian T. Foster, Deborah Estrin and Chao-Tung Yang, Changqin Huang and Chao-Tung Yang, Changqin Huang and Ian T. Foster, Ming-Feng Yang and Chao-Tung Yang, Ming-Feng Yang and Ian T. Foster, Ming-Feng Yang and Adriana Iamnitchi, Ming-Feng Yang and Chun-Chen Hsu, Ming-Feng Yang and Francisco Javier Jaén-Martínez, Chao-Tung Yang and Ian T. Foster, Chao-Tung Yang and M. Kunze, Chao-Tung Yang and Adriana Iamnitchi, Chao-Tung Yang and Chun-Chen Hsu, Chao-Tung Yang and Thomas G. Robertazzi, Chao-Tung Yang and Francisco Javier Jaén-Martínez, Chao-Tung Yang and Zhengkai Wu, Chao-Tung Yang and Wen-Hung Hsu, Samee Ullah Khan and Ian T. Foster, Samee Ullah Khan and M. Kunze, Adriana Iamnitchi and Ian T. Foster, Chun-Chen Hsu and Ian T. Foster, Chun-Chen Hsu and Francisco Javier Jaén-Martínez, Ian T. Foster and M. Kunze.\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\": \"Wen-Chung Chiang\", \"id\": 395555}, {\"name\": \"Changqin Huang\", \"id\": 172676}, {\"name\": \"Deborah Estrin\", \"id\": 52260}, {\"name\": \"Ming-Feng Yang\", \"id\": 204007}, {\"name\": \"Chao-Tung Yang\", \"id\": 584}, {\"name\": \"Samee Ullah Khan\", \"id\": 42633}, {\"name\": \"Chun-Chen Hsu\", \"id\": 194507}, {\"name\": \"Ian T. Foster\", \"id\": 46988}, {\"name\": \"Wen-Hung Hsu\", \"id\": 26430}, {\"name\": \"Zhengkai Wu\", \"id\": 603923}, {\"name\": \"M. Kunze\", \"id\": 108947}, {\"name\": \"Thomas G. Robertazzi\", \"id\": 259067}, {\"name\": \"Francisco Javier Ja\\u00e9n-Mart\\u00ednez\", \"id\": 343164}, {\"name\": \"Adriana Iamnitchi\", \"id\": 117310}], \"links\": [{\"source\": 395555, \"target\": 584}, {\"source\": 395555, \"target\": 46988}, {\"source\": 172676, \"target\": 584}, {\"source\": 172676, \"target\": 46988}, {\"source\": 52260, \"target\": 584}, {\"source\": 204007, \"target\": 584}, {\"source\": 204007, \"target\": 46988}, {\"source\": 204007, \"target\": 117310}, {\"source\": 204007, \"target\": 194507}, {\"source\": 204007, \"target\": 343164}, {\"source\": 584, \"target\": 46988}, {\"source\": 584, \"target\": 108947}, {\"source\": 584, \"target\": 117310}, {\"source\": 584, \"target\": 194507}, {\"source\": 584, \"target\": 259067}, {\"source\": 584, \"target\": 343164}, {\"source\": 584, \"target\": 603923}, {\"source\": 584, \"target\": 26430}, {\"source\": 42633, \"target\": 46988}, {\"source\": 42633, \"target\": 108947}, {\"source\": 194507, \"target\": 46988}, {\"source\": 194507, \"target\": 343164}, {\"source\": 46988, \"target\": 117310}, {\"source\": 46988, \"target\": 108947}]}", "id": 2013, "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\nProblem to Solve\n\n- Authors in the network: Wen-Chung Chiang, Deborah Estrin, Changqin Huang, Ming-Feng Yang, Chao-Tung Yang, Samee Ullah Khan, Adriana Iamnitchi, Chun-Chen Hsu, Ian T. Foster, Zhengkai Wu, M. Kunze, Thomas G. Robertazzi, Francisco Javier Jaén-Martínez, Wen-Hung Hsu\n- Research collaborations between these authors: Wen-Chung Chiang and Chao-Tung Yang, Wen-Chung Chiang and Ian T. Foster, Deborah Estrin and Chao-Tung Yang, Changqin Huang and Chao-Tung Yang, Changqin Huang and Ian T. Foster, Ming-Feng Yang and Chao-Tung Yang, Ming-Feng Yang and Ian T. Foster, Ming-Feng Yang and Adriana Iamnitchi, Ming-Feng Yang and Chun-Chen Hsu, Ming-Feng Yang and Francisco Javier Jaén-Martínez, Chao-Tung Yang and Ian T. Foster, Chao-Tung Yang and M. Kunze, Chao-Tung Yang and Adriana Iamnitchi, Chao-Tung Yang and Chun-Chen Hsu, Chao-Tung Yang and Thomas G. Robertazzi, Chao-Tung Yang and Francisco Javier Jaén-Martínez, Chao-Tung Yang and Zhengkai Wu, Chao-Tung Yang and Wen-Hung Hsu, Samee Ullah Khan and Ian T. Foster, Samee Ullah Khan and M. Kunze, Adriana Iamnitchi and Ian T. Foster, Chun-Chen Hsu and Ian T. Foster, Chun-Chen Hsu and Francisco Javier Jaén-Martínez, Ian T. Foster and M. Kunze.\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\nProblem to Solve\n\n- Authors in the network: Lingyu Wang, Dongning Guo, Chin Keong Ho, Howard C. Huang, Andrew Zisserman, Yong Zeng, Josep Vidal, Robert W. Heath, Geoffrey Ye Li, Aditya Gaikwad, Chadi Abou-Rjeily, Zhiguo Ding, Francesco Iorio, Ioannis Krikidis\n- Research collaborations between these authors: Lingyu Wang and Yong Zeng, Dongning Guo and Yong Zeng, Dongning Guo and Robert W. Heath, Dongning Guo and Geoffrey Ye Li, Dongning Guo and Ioannis Krikidis, Chin Keong Ho and Yong Zeng, Chin Keong Ho and Robert W. Heath, Chin Keong Ho and Zhiguo Ding, Chin Keong Ho and Ioannis Krikidis, Chin Keong Ho and Geoffrey Ye Li, Howard C. Huang and Yong Zeng, Howard C. Huang and Robert W. Heath, Howard C. Huang and Geoffrey Ye Li, Yong Zeng and Francesco Iorio, Yong Zeng and Robert W. Heath, Yong Zeng and Zhiguo Ding, Yong Zeng and Ioannis Krikidis, Yong Zeng and Geoffrey Ye Li, Yong Zeng and Josep Vidal, Yong Zeng and Aditya Gaikwad, Josep Vidal and Robert W. Heath, Robert W. Heath and Ioannis Krikidis, Robert W. Heath and Geoffrey Ye Li, Robert W. Heath and Zhiguo Ding, Zhiguo Ding and Ioannis Krikidis.\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\": \"Lingyu Wang\", \"id\": 102915}, {\"name\": \"Dongning Guo\", \"id\": 172518}, {\"name\": \"Chin Keong Ho\", \"id\": 268456}, {\"name\": \"Howard C. Huang\", \"id\": 228202}, {\"name\": \"Andrew Zisserman\", \"id\": 62508}, {\"name\": \"Yong Zeng\", \"id\": 85934}, {\"name\": \"Josep Vidal\", \"id\": 134320}, {\"name\": \"Robert W. Heath\", \"id\": 92914}, {\"name\": \"Geoffrey Ye Li\", \"id\": 232661}, {\"name\": \"Aditya Gaikwad\", \"id\": 403286}, {\"name\": \"Chadi Abou-Rjeily\", \"id\": 322328}, {\"name\": \"Zhiguo Ding\", \"id\": 181625}, {\"name\": \"Francesco Iorio\", \"id\": 60988}, {\"name\": \"Ioannis Krikidis\", \"id\": 195230}], \"links\": [{\"source\": 102915, \"target\": 85934}, {\"source\": 172518, \"target\": 85934}, {\"source\": 172518, \"target\": 92914}, {\"source\": 172518, \"target\": 232661}, {\"source\": 172518, \"target\": 195230}, {\"source\": 268456, \"target\": 85934}, {\"source\": 268456, \"target\": 92914}, {\"source\": 268456, \"target\": 181625}, {\"source\": 268456, \"target\": 195230}, {\"source\": 268456, \"target\": 232661}, {\"source\": 228202, \"target\": 85934}, {\"source\": 228202, \"target\": 92914}, {\"source\": 228202, \"target\": 232661}, {\"source\": 85934, \"target\": 60988}, {\"source\": 85934, \"target\": 92914}, {\"source\": 85934, \"target\": 181625}, {\"source\": 85934, \"target\": 195230}, {\"source\": 85934, \"target\": 232661}, {\"source\": 85934, \"target\": 134320}, {\"source\": 85934, \"target\": 403286}, {\"source\": 134320, \"target\": 92914}, {\"source\": 92914, \"target\": 195230}, {\"source\": 92914, \"target\": 232661}, {\"source\": 92914, \"target\": 181625}, {\"source\": 181625, \"target\": 195230}]}", "id": 2128, "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\nProblem to Solve\n\n- Authors in the network: Lingyu Wang, Dongning Guo, Chin Keong Ho, Howard C. Huang, Andrew Zisserman, Yong Zeng, Josep Vidal, Robert W. Heath, Geoffrey Ye Li, Aditya Gaikwad, Chadi Abou-Rjeily, Zhiguo Ding, Francesco Iorio, Ioannis Krikidis\n- Research collaborations between these authors: Lingyu Wang and Yong Zeng, Dongning Guo and Yong Zeng, Dongning Guo and Robert W. Heath, Dongning Guo and Geoffrey Ye Li, Dongning Guo and Ioannis Krikidis, Chin Keong Ho and Yong Zeng, Chin Keong Ho and Robert W. Heath, Chin Keong Ho and Zhiguo Ding, Chin Keong Ho and Ioannis Krikidis, Chin Keong Ho and Geoffrey Ye Li, Howard C. Huang and Yong Zeng, Howard C. Huang and Robert W. Heath, Howard C. Huang and Geoffrey Ye Li, Yong Zeng and Francesco Iorio, Yong Zeng and Robert W. Heath, Yong Zeng and Zhiguo Ding, Yong Zeng and Ioannis Krikidis, Yong Zeng and Geoffrey Ye Li, Yong Zeng and Josep Vidal, Yong Zeng and Aditya Gaikwad, Josep Vidal and Robert W. Heath, Robert W. Heath and Ioannis Krikidis, Robert W. Heath and Geoffrey Ye Li, Robert W. Heath and Zhiguo Ding, Zhiguo Ding and Ioannis Krikidis.\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\nProblem to Solve\n\n- Authors in the network: Lajos Hanzo, Mugen Peng, Shuguang Cui, Theodore S. Rappaport, Kok-Kiong Yap, Athanasios V. Vasilakos, Geoffrey Ye Li, Nick McKeown, Guru M. Parulkar, Jianhua Zhang, Rakesh Kumar Jha, Scott Shenker, Andrea J. Goldsmith, Thomas L. Marzetta\n- Research collaborations between these authors: Lajos Hanzo and Athanasios V. Vasilakos, Lajos Hanzo and Andrea J. Goldsmith, Lajos Hanzo and Shuguang Cui, Lajos Hanzo and Theodore S. Rappaport, Lajos Hanzo and Mugen Peng, Lajos Hanzo and Geoffrey Ye Li, Lajos Hanzo and Thomas L. Marzetta, Lajos Hanzo and Rakesh Kumar Jha, Mugen Peng and Rakesh Kumar Jha, Mugen Peng and Andrea J. Goldsmith, Mugen Peng and Shuguang Cui, Mugen Peng and Geoffrey Ye Li, Mugen Peng and Thomas L. Marzetta, Shuguang Cui and Andrea J. Goldsmith, Shuguang Cui and Athanasios V. Vasilakos, Shuguang Cui and Rakesh Kumar Jha, Shuguang Cui and Geoffrey Ye Li, Theodore S. Rappaport and Jianhua Zhang, Theodore S. Rappaport and Andrea J. Goldsmith, Theodore S. Rappaport and Athanasios V. Vasilakos, Theodore S. Rappaport and Rakesh Kumar Jha, Theodore S. Rappaport and Thomas L. Marzetta, Theodore S. Rappaport and Geoffrey Ye Li, Kok-Kiong Yap and Scott Shenker, Kok-Kiong Yap and Nick McKeown, Kok-Kiong Yap and Guru M. Parulkar, Kok-Kiong Yap and Rakesh Kumar Jha, Athanasios V. Vasilakos and Jianhua Zhang, Athanasios V. Vasilakos and Scott Shenker, Athanasios V. Vasilakos and Nick McKeown, Athanasios V. Vasilakos and Guru M. Parulkar, Athanasios V. Vasilakos and Geoffrey Ye Li, Athanasios V. Vasilakos and Thomas L. Marzetta, Athanasios V. Vasilakos and Rakesh Kumar Jha, Geoffrey Ye Li and Jianhua Zhang, Geoffrey Ye Li and Rakesh Kumar Jha, Geoffrey Ye Li and Andrea J. Goldsmith, Geoffrey Ye Li and Thomas L. Marzetta, Nick McKeown and Scott Shenker, Nick McKeown and Guru M. Parulkar, Nick McKeown and Rakesh Kumar Jha, Guru M. Parulkar and Scott Shenker, Guru M. Parulkar and Rakesh Kumar Jha, Jianhua Zhang and Andrea J. Goldsmith, Jianhua Zhang and Thomas L. Marzetta, Jianhua Zhang and Rakesh Kumar Jha, Rakesh Kumar Jha and Scott Shenker, Rakesh Kumar Jha and Andrea J. Goldsmith, Rakesh Kumar Jha and Thomas L. Marzetta, Andrea J. Goldsmith and Thomas L. Marzetta.\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\": \"Lajos Hanzo\", \"id\": 122248}, {\"name\": \"Mugen Peng\", \"id\": 198121}, {\"name\": \"Shuguang Cui\", \"id\": 177420}, {\"name\": \"Theodore S. Rappaport\", \"id\": 192976}, {\"name\": \"Kok-Kiong Yap\", \"id\": 83795}, {\"name\": \"Athanasios V. Vasilakos\", \"id\": 75892}, {\"name\": \"Geoffrey Ye Li\", \"id\": 232661}, {\"name\": \"Nick McKeown\", \"id\": 83798}, {\"name\": \"Guru M. Parulkar\", \"id\": 83799}, {\"name\": \"Jianhua Zhang\", \"id\": 42232}, {\"name\": \"Rakesh Kumar Jha\", \"id\": 146907}, {\"name\": \"Scott Shenker\", \"id\": 32157}, {\"name\": \"Andrea J. Goldsmith\", \"id\": 50750}, {\"name\": \"Thomas L. Marzetta\", \"id\": 270520}], \"links\": [{\"source\": 122248, \"target\": 75892}, {\"source\": 122248, \"target\": 50750}, {\"source\": 122248, \"target\": 177420}, {\"source\": 122248, \"target\": 192976}, {\"source\": 122248, \"target\": 198121}, {\"source\": 122248, \"target\": 232661}, {\"source\": 122248, \"target\": 270520}, {\"source\": 122248, \"target\": 146907}, {\"source\": 198121, \"target\": 146907}, {\"source\": 198121, \"target\": 50750}, {\"source\": 198121, \"target\": 177420}, {\"source\": 198121, \"target\": 232661}, {\"source\": 198121, \"target\": 270520}, {\"source\": 177420, \"target\": 50750}, {\"source\": 177420, \"target\": 75892}, {\"source\": 177420, \"target\": 146907}, {\"source\": 177420, \"target\": 232661}, {\"source\": 192976, \"target\": 42232}, {\"source\": 192976, \"target\": 50750}, {\"source\": 192976, \"target\": 75892}, {\"source\": 192976, \"target\": 146907}, {\"source\": 192976, \"target\": 270520}, {\"source\": 192976, \"target\": 232661}, {\"source\": 83795, \"target\": 32157}, {\"source\": 83795, \"target\": 83798}, {\"source\": 83795, \"target\": 83799}, {\"source\": 83795, \"target\": 146907}, {\"source\": 75892, \"target\": 42232}, {\"source\": 75892, \"target\": 32157}, {\"source\": 75892, \"target\": 83798}, {\"source\": 75892, \"target\": 83799}, {\"source\": 75892, \"target\": 232661}, {\"source\": 75892, \"target\": 270520}, {\"source\": 75892, \"target\": 146907}, {\"source\": 232661, \"target\": 42232}, {\"source\": 232661, \"target\": 146907}, {\"source\": 232661, \"target\": 50750}, {\"source\": 232661, \"target\": 270520}, {\"source\": 83798, \"target\": 32157}, {\"source\": 83798, \"target\": 83799}, {\"source\": 83798, \"target\": 146907}, {\"source\": 83799, \"target\": 32157}, {\"source\": 83799, \"target\": 146907}, {\"source\": 42232, \"target\": 50750}, {\"source\": 42232, \"target\": 270520}, {\"source\": 42232, \"target\": 146907}, {\"source\": 146907, \"target\": 32157}, {\"source\": 146907, \"target\": 50750}, {\"source\": 146907, \"target\": 270520}, {\"source\": 50750, \"target\": 270520}]}", "id": 88, "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\nProblem to Solve\n\n- Authors in the network: Lajos Hanzo, Mugen Peng, Shuguang Cui, Theodore S. Rappaport, Kok-Kiong Yap, Athanasios V. Vasilakos, Geoffrey Ye Li, Nick McKeown, Guru M. Parulkar, Jianhua Zhang, Rakesh Kumar Jha, Scott Shenker, Andrea J. Goldsmith, Thomas L. Marzetta\n- Research collaborations between these authors: Lajos Hanzo and Athanasios V. Vasilakos, Lajos Hanzo and Andrea J. Goldsmith, Lajos Hanzo and Shuguang Cui, Lajos Hanzo and Theodore S. Rappaport, Lajos Hanzo and Mugen Peng, Lajos Hanzo and Geoffrey Ye Li, Lajos Hanzo and Thomas L. Marzetta, Lajos Hanzo and Rakesh Kumar Jha, Mugen Peng and Rakesh Kumar Jha, Mugen Peng and Andrea J. Goldsmith, Mugen Peng and Shuguang Cui, Mugen Peng and Geoffrey Ye Li, Mugen Peng and Thomas L. Marzetta, Shuguang Cui and Andrea J. Goldsmith, Shuguang Cui and Athanasios V. Vasilakos, Shuguang Cui and Rakesh Kumar Jha, Shuguang Cui and Geoffrey Ye Li, Theodore S. Rappaport and Jianhua Zhang, Theodore S. Rappaport and Andrea J. Goldsmith, Theodore S. Rappaport and Athanasios V. Vasilakos, Theodore S. Rappaport and Rakesh Kumar Jha, Theodore S. Rappaport and Thomas L. Marzetta, Theodore S. Rappaport and Geoffrey Ye Li, Kok-Kiong Yap and Scott Shenker, Kok-Kiong Yap and Nick McKeown, Kok-Kiong Yap and Guru M. Parulkar, Kok-Kiong Yap and Rakesh Kumar Jha, Athanasios V. Vasilakos and Jianhua Zhang, Athanasios V. Vasilakos and Scott Shenker, Athanasios V. Vasilakos and Nick McKeown, Athanasios V. Vasilakos and Guru M. Parulkar, Athanasios V. Vasilakos and Geoffrey Ye Li, Athanasios V. Vasilakos and Thomas L. Marzetta, Athanasios V. Vasilakos and Rakesh Kumar Jha, Geoffrey Ye Li and Jianhua Zhang, Geoffrey Ye Li and Rakesh Kumar Jha, Geoffrey Ye Li and Andrea J. Goldsmith, Geoffrey Ye Li and Thomas L. Marzetta, Nick McKeown and Scott Shenker, Nick McKeown and Guru M. Parulkar, Nick McKeown and Rakesh Kumar Jha, Guru M. Parulkar and Scott Shenker, Guru M. Parulkar and Rakesh Kumar Jha, Jianhua Zhang and Andrea J. Goldsmith, Jianhua Zhang and Thomas L. Marzetta, Jianhua Zhang and Rakesh Kumar Jha, Rakesh Kumar Jha and Scott Shenker, Rakesh Kumar Jha and Andrea J. Goldsmith, Rakesh Kumar Jha and Thomas L. Marzetta, Andrea J. Goldsmith and Thomas L. Marzetta.\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\nProblem to Solve\n\n- Authors in the network: Keiichi Kushida, Atsushi Kawasumi, Toshikazu Suzuki, Shinji Miyano, Tomoaki Yabe, Osamu Hirabayashi, Yasuhisa Takeyama, Farshad Moradi, Takahiko Sasaki, Yasuo Unekawa, Meng-Fan Chang, Azuma Suzuki, Gou Fukano, Takaaki Nakazato\n- Research collaborations between these authors: Keiichi Kushida and Farshad Moradi, Keiichi Kushida and Meng-Fan Chang, Keiichi Kushida and Atsushi Kawasumi, Keiichi Kushida and Tomoaki Yabe, Keiichi Kushida and Osamu Hirabayashi, Keiichi Kushida and Yasuhisa Takeyama, Keiichi Kushida and Takahiko Sasaki, Keiichi Kushida and Takaaki Nakazato, Keiichi Kushida and Azuma Suzuki, Keiichi Kushida and Gou Fukano, Keiichi Kushida and Toshikazu Suzuki, Keiichi Kushida and Shinji Miyano, Keiichi Kushida and Yasuo Unekawa, Atsushi Kawasumi and Farshad Moradi, Atsushi Kawasumi and Meng-Fan Chang, Atsushi Kawasumi and Toshikazu Suzuki, Atsushi Kawasumi and Shinji Miyano, Atsushi Kawasumi and Tomoaki Yabe, Atsushi Kawasumi and Osamu Hirabayashi, Atsushi Kawasumi and Yasuhisa Takeyama, Atsushi Kawasumi and Takahiko Sasaki, Atsushi Kawasumi and Takaaki Nakazato, Atsushi Kawasumi and Azuma Suzuki, Atsushi Kawasumi and Gou Fukano, Atsushi Kawasumi and Yasuo Unekawa, Toshikazu Suzuki and Shinji Miyano, Toshikazu Suzuki and Tomoaki Yabe, Toshikazu Suzuki and Osamu Hirabayashi, Toshikazu Suzuki and Yasuhisa Takeyama, Toshikazu Suzuki and Takahiko Sasaki, Toshikazu Suzuki and Azuma Suzuki, Toshikazu Suzuki and Gou Fukano, Shinji Miyano and Tomoaki Yabe, Shinji Miyano and Osamu Hirabayashi, Shinji Miyano and Yasuhisa Takeyama, Shinji Miyano and Takahiko Sasaki, Shinji Miyano and Azuma Suzuki, Shinji Miyano and Gou Fukano, Tomoaki Yabe and Farshad Moradi, Tomoaki Yabe and Meng-Fan Chang, Tomoaki Yabe and Yasuo Unekawa, Tomoaki Yabe and Osamu Hirabayashi, Tomoaki Yabe and Yasuhisa Takeyama, Tomoaki Yabe and Takahiko Sasaki, Tomoaki Yabe and Takaaki Nakazato, Tomoaki Yabe and Azuma Suzuki, Tomoaki Yabe and Gou Fukano, Osamu Hirabayashi and Farshad Moradi, Osamu Hirabayashi and Meng-Fan Chang, Osamu Hirabayashi and Yasuo Unekawa, Osamu Hirabayashi and Yasuhisa Takeyama, Osamu Hirabayashi and Takahiko Sasaki, Osamu Hirabayashi and Takaaki Nakazato, Osamu Hirabayashi and Azuma Suzuki, Osamu Hirabayashi and Gou Fukano, Yasuhisa Takeyama and Farshad Moradi, Yasuhisa Takeyama and Meng-Fan Chang, Yasuhisa Takeyama and Yasuo Unekawa, Yasuhisa Takeyama and Takahiko Sasaki, Yasuhisa Takeyama and Takaaki Nakazato, Yasuhisa Takeyama and Azuma Suzuki, Yasuhisa Takeyama and Gou Fukano, Farshad Moradi and Takahiko Sasaki, Farshad Moradi and Azuma Suzuki, Farshad Moradi and Gou Fukano, Yasuo Unekawa and Azuma Suzuki.\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\": \"Keiichi Kushida\", \"id\": 492256}, {\"name\": \"Atsushi Kawasumi\", \"id\": 492261}, {\"name\": \"Toshikazu Suzuki\", \"id\": 503367}, {\"name\": \"Shinji Miyano\", \"id\": 503368}, {\"name\": \"Tomoaki Yabe\", \"id\": 570730}, {\"name\": \"Osamu Hirabayashi\", \"id\": 570731}, {\"name\": \"Yasuhisa Takeyama\", \"id\": 570732}, {\"name\": \"Farshad Moradi\", \"id\": 13517}, {\"name\": \"Takahiko Sasaki\", \"id\": 570733}, {\"name\": \"Yasuo Unekawa\", \"id\": 516428}, {\"name\": \"Meng-Fan Chang\", \"id\": 226481}, {\"name\": \"Azuma Suzuki\", \"id\": 828498}, {\"name\": \"Gou Fukano\", \"id\": 828499}, {\"name\": \"Takaaki Nakazato\", \"id\": 707668}], \"links\": [{\"source\": 492256, \"target\": 13517}, {\"source\": 492256, \"target\": 226481}, {\"source\": 492256, \"target\": 492261}, {\"source\": 492256, \"target\": 570730}, {\"source\": 492256, \"target\": 570731}, {\"source\": 492256, \"target\": 570732}, {\"source\": 492256, \"target\": 570733}, {\"source\": 492256, \"target\": 707668}, {\"source\": 492256, \"target\": 828498}, {\"source\": 492256, \"target\": 828499}, {\"source\": 492256, \"target\": 503367}, {\"source\": 492256, \"target\": 503368}, {\"source\": 492256, \"target\": 516428}, {\"source\": 492261, \"target\": 13517}, {\"source\": 492261, \"target\": 226481}, {\"source\": 492261, \"target\": 503367}, {\"source\": 492261, \"target\": 503368}, {\"source\": 492261, \"target\": 570730}, {\"source\": 492261, \"target\": 570731}, {\"source\": 492261, \"target\": 570732}, {\"source\": 492261, \"target\": 570733}, {\"source\": 492261, \"target\": 707668}, {\"source\": 492261, \"target\": 828498}, {\"source\": 492261, \"target\": 828499}, {\"source\": 492261, \"target\": 516428}, {\"source\": 503367, \"target\": 503368}, {\"source\": 503367, \"target\": 570730}, {\"source\": 503367, \"target\": 570731}, {\"source\": 503367, \"target\": 570732}, {\"source\": 503367, \"target\": 570733}, {\"source\": 503367, \"target\": 828498}, {\"source\": 503367, \"target\": 828499}, {\"source\": 503368, \"target\": 570730}, {\"source\": 503368, \"target\": 570731}, {\"source\": 503368, \"target\": 570732}, {\"source\": 503368, \"target\": 570733}, {\"source\": 503368, \"target\": 828498}, {\"source\": 503368, \"target\": 828499}, {\"source\": 570730, \"target\": 13517}, {\"source\": 570730, \"target\": 226481}, {\"source\": 570730, \"target\": 516428}, {\"source\": 570730, \"target\": 570731}, {\"source\": 570730, \"target\": 570732}, {\"source\": 570730, \"target\": 570733}, {\"source\": 570730, \"target\": 707668}, {\"source\": 570730, \"target\": 828498}, {\"source\": 570730, \"target\": 828499}, {\"source\": 570731, \"target\": 13517}, {\"source\": 570731, \"target\": 226481}, {\"source\": 570731, \"target\": 516428}, {\"source\": 570731, \"target\": 570732}, {\"source\": 570731, \"target\": 570733}, {\"source\": 570731, \"target\": 707668}, {\"source\": 570731, \"target\": 828498}, {\"source\": 570731, \"target\": 828499}, {\"source\": 570732, \"target\": 13517}, {\"source\": 570732, \"target\": 226481}, {\"source\": 570732, \"target\": 516428}, {\"source\": 570732, \"target\": 570733}, {\"source\": 570732, \"target\": 707668}, {\"source\": 570732, \"target\": 828498}, {\"source\": 570732, \"target\": 828499}, {\"source\": 13517, \"target\": 570733}, {\"source\": 13517, \"target\": 828498}, {\"source\": 13517, \"target\": 828499}, {\"source\": 516428, \"target\": 828498}]}", "id": 1489, "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\nProblem to Solve\n\n- Authors in the network: Keiichi Kushida, Atsushi Kawasumi, Toshikazu Suzuki, Shinji Miyano, Tomoaki Yabe, Osamu Hirabayashi, Yasuhisa Takeyama, Farshad Moradi, Takahiko Sasaki, Yasuo Unekawa, Meng-Fan Chang, Azuma Suzuki, Gou Fukano, Takaaki Nakazato\n- Research collaborations between these authors: Keiichi Kushida and Farshad Moradi, Keiichi Kushida and Meng-Fan Chang, Keiichi Kushida and Atsushi Kawasumi, Keiichi Kushida and Tomoaki Yabe, Keiichi Kushida and Osamu Hirabayashi, Keiichi Kushida and Yasuhisa Takeyama, Keiichi Kushida and Takahiko Sasaki, Keiichi Kushida and Takaaki Nakazato, Keiichi Kushida and Azuma Suzuki, Keiichi Kushida and Gou Fukano, Keiichi Kushida and Toshikazu Suzuki, Keiichi Kushida and Shinji Miyano, Keiichi Kushida and Yasuo Unekawa, Atsushi Kawasumi and Farshad Moradi, Atsushi Kawasumi and Meng-Fan Chang, Atsushi Kawasumi and Toshikazu Suzuki, Atsushi Kawasumi and Shinji Miyano, Atsushi Kawasumi and Tomoaki Yabe, Atsushi Kawasumi and Osamu Hirabayashi, Atsushi Kawasumi and Yasuhisa Takeyama, Atsushi Kawasumi and Takahiko Sasaki, Atsushi Kawasumi and Takaaki Nakazato, Atsushi Kawasumi and Azuma Suzuki, Atsushi Kawasumi and Gou Fukano, Atsushi Kawasumi and Yasuo Unekawa, Toshikazu Suzuki and Shinji Miyano, Toshikazu Suzuki and Tomoaki Yabe, Toshikazu Suzuki and Osamu Hirabayashi, Toshikazu Suzuki and Yasuhisa Takeyama, Toshikazu Suzuki and Takahiko Sasaki, Toshikazu Suzuki and Azuma Suzuki, Toshikazu Suzuki and Gou Fukano, Shinji Miyano and Tomoaki Yabe, Shinji Miyano and Osamu Hirabayashi, Shinji Miyano and Yasuhisa Takeyama, Shinji Miyano and Takahiko Sasaki, Shinji Miyano and Azuma Suzuki, Shinji Miyano and Gou Fukano, Tomoaki Yabe and Farshad Moradi, Tomoaki Yabe and Meng-Fan Chang, Tomoaki Yabe and Yasuo Unekawa, Tomoaki Yabe and Osamu Hirabayashi, Tomoaki Yabe and Yasuhisa Takeyama, Tomoaki Yabe and Takahiko Sasaki, Tomoaki Yabe and Takaaki Nakazato, Tomoaki Yabe and Azuma Suzuki, Tomoaki Yabe and Gou Fukano, Osamu Hirabayashi and Farshad Moradi, Osamu Hirabayashi and Meng-Fan Chang, Osamu Hirabayashi and Yasuo Unekawa, Osamu Hirabayashi and Yasuhisa Takeyama, Osamu Hirabayashi and Takahiko Sasaki, Osamu Hirabayashi and Takaaki Nakazato, Osamu Hirabayashi and Azuma Suzuki, Osamu Hirabayashi and Gou Fukano, Yasuhisa Takeyama and Farshad Moradi, Yasuhisa Takeyama and Meng-Fan Chang, Yasuhisa Takeyama and Yasuo Unekawa, Yasuhisa Takeyama and Takahiko Sasaki, Yasuhisa Takeyama and Takaaki Nakazato, Yasuhisa Takeyama and Azuma Suzuki, Yasuhisa Takeyama and Gou Fukano, Farshad Moradi and Takahiko Sasaki, Farshad Moradi and Azuma Suzuki, Farshad Moradi and Gou Fukano, Yasuo Unekawa and Azuma Suzuki.\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\nProblem to Solve\n\n- Authors in the network: Frank A. Zdarsky, Ahlem Mifdaoui, Hao Wang, Anis Koubaa, Xue Liu, Burkhard Stiller, Dinh Khanh Dang, Zi Xiong, Kumiko Maeda, Ilias Tsigkogiannis, Jens B. Schmitt, Øyvind Holmeide, Enzo Mingozzi, Peng Zeng\n- Research collaborations between these authors: Frank A. Zdarsky and Jens B. Schmitt, Ahlem Mifdaoui and Jens B. Schmitt, Ahlem Mifdaoui and Dinh Khanh Dang, Hao Wang and Xue Liu, Hao Wang and Anis Koubaa, Hao Wang and Øyvind Holmeide, Hao Wang and Jens B. Schmitt, Anis Koubaa and Jens B. Schmitt, Anis Koubaa and Peng Zeng, Xue Liu and Jens B. Schmitt, Burkhard Stiller and Jens B. Schmitt, Dinh Khanh Dang and Jens B. Schmitt, Zi Xiong and Jens B. Schmitt, Kumiko Maeda and Jens B. Schmitt, Ilias Tsigkogiannis and Jens B. Schmitt, Jens B. Schmitt and Enzo Mingozzi, Jens B. Schmitt and Øyvind Holmeide, Jens B. Schmitt and Peng Zeng.\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\": \"Frank A. Zdarsky\", \"id\": 435748}, {\"name\": \"Ahlem Mifdaoui\", \"id\": 202696}, {\"name\": \"Hao Wang\", \"id\": 32255}, {\"name\": \"Anis Koubaa\", \"id\": 115789}, {\"name\": \"Xue Liu\", \"id\": 26672}, {\"name\": \"Burkhard Stiller\", \"id\": 24691}, {\"name\": \"Dinh Khanh Dang\", \"id\": 374197}, {\"name\": \"Zi Xiong\", \"id\": 187929}, {\"name\": \"Kumiko Maeda\", \"id\": 660218}, {\"name\": \"Ilias Tsigkogiannis\", \"id\": 507323}, {\"name\": \"Jens B. Schmitt\", \"id\": 221724}, {\"name\": \"\\u00d8yvind Holmeide\", \"id\": 157245}, {\"name\": \"Enzo Mingozzi\", \"id\": 125854}, {\"name\": \"Peng Zeng\", \"id\": 277790}], \"links\": [{\"source\": 435748, \"target\": 221724}, {\"source\": 202696, \"target\": 221724}, {\"source\": 202696, \"target\": 374197}, {\"source\": 32255, \"target\": 26672}, {\"source\": 32255, \"target\": 115789}, {\"source\": 32255, \"target\": 157245}, {\"source\": 32255, \"target\": 221724}, {\"source\": 115789, \"target\": 221724}, {\"source\": 115789, \"target\": 277790}, {\"source\": 26672, \"target\": 221724}, {\"source\": 24691, \"target\": 221724}, {\"source\": 374197, \"target\": 221724}, {\"source\": 187929, \"target\": 221724}, {\"source\": 660218, \"target\": 221724}, {\"source\": 507323, \"target\": 221724}, {\"source\": 221724, \"target\": 125854}, {\"source\": 221724, \"target\": 157245}, {\"source\": 221724, \"target\": 277790}]}", "id": 1349, "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\nProblem to Solve\n\n- Authors in the network: Frank A. Zdarsky, Ahlem Mifdaoui, Hao Wang, Anis Koubaa, Xue Liu, Burkhard Stiller, Dinh Khanh Dang, Zi Xiong, Kumiko Maeda, Ilias Tsigkogiannis, Jens B. Schmitt, Øyvind Holmeide, Enzo Mingozzi, Peng Zeng\n- Research collaborations between these authors: Frank A. Zdarsky and Jens B. Schmitt, Ahlem Mifdaoui and Jens B. Schmitt, Ahlem Mifdaoui and Dinh Khanh Dang, Hao Wang and Xue Liu, Hao Wang and Anis Koubaa, Hao Wang and Øyvind Holmeide, Hao Wang and Jens B. Schmitt, Anis Koubaa and Jens B. Schmitt, Anis Koubaa and Peng Zeng, Xue Liu and Jens B. Schmitt, Burkhard Stiller and Jens B. Schmitt, Dinh Khanh Dang and Jens B. Schmitt, Zi Xiong and Jens B. Schmitt, Kumiko Maeda and Jens B. Schmitt, Ilias Tsigkogiannis and Jens B. Schmitt, Jens B. Schmitt and Enzo Mingozzi, Jens B. Schmitt and Øyvind Holmeide, Jens B. Schmitt and Peng Zeng.\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\nProblem to Solve\n\n- Authors in the network: Bin Zhao, Pan-Lung Tsai, Ping Wah Wong, Nasir D. Memon, Weidong Kou, Min Wu, Pei-Ling Yu, Geong Sen Poh, Franco Bartolini, Jun Zhang, Bart Preneel, Shivkumar Chandrasekaran, Yongle Wu, Franco Frattolillo\n- Research collaborations between these authors: Bin Zhao and Nasir D. Memon, Bin Zhao and Pan-Lung Tsai, Bin Zhao and Ping Wah Wong, Bin Zhao and Pei-Ling Yu, Pan-Lung Tsai and Bart Preneel, Pan-Lung Tsai and Jun Zhang, Pan-Lung Tsai and Franco Frattolillo, Pan-Lung Tsai and Weidong Kou, Pan-Lung Tsai and Geong Sen Poh, Ping Wah Wong and Bart Preneel, Ping Wah Wong and Jun Zhang, Ping Wah Wong and Franco Frattolillo, Ping Wah Wong and Weidong Kou, Ping Wah Wong and Geong Sen Poh, Nasir D. Memon and Bart Preneel, Nasir D. Memon and Jun Zhang, Nasir D. Memon and Min Wu, Nasir D. Memon and Franco Frattolillo, Nasir D. Memon and Weidong Kou, Nasir D. Memon and Geong Sen Poh, Nasir D. Memon and Shivkumar Chandrasekaran, Weidong Kou and Min Wu, Weidong Kou and Shivkumar Chandrasekaran, Weidong Kou and Pei-Ling Yu, Min Wu and Bart Preneel, Min Wu and Franco Frattolillo, Pei-Ling Yu and Bart Preneel, Pei-Ling Yu and Jun Zhang, Pei-Ling Yu and Franco Frattolillo, Pei-Ling Yu and Geong Sen Poh, Geong Sen Poh and Yongle Wu, Franco Bartolini and Franco Frattolillo, Bart Preneel and Franco Frattolillo.\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\": \"Bin Zhao\", \"id\": 34754}, {\"name\": \"Pan-Lung Tsai\", \"id\": 97187}, {\"name\": \"Ping Wah Wong\", \"id\": 820934}, {\"name\": \"Nasir D. Memon\", \"id\": 62023}, {\"name\": \"Weidong Kou\", \"id\": 69292}, {\"name\": \"Min Wu\", \"id\": 44562}, {\"name\": \"Pei-Ling Yu\", \"id\": 1013138}, {\"name\": \"Geong Sen Poh\", \"id\": 96181}, {\"name\": \"Franco Bartolini\", \"id\": 45719}, {\"name\": \"Jun Zhang\", \"id\": 21593}, {\"name\": \"Bart Preneel\", \"id\": 7930}, {\"name\": \"Shivkumar Chandrasekaran\", \"id\": 321819}, {\"name\": \"Yongle Wu\", \"id\": 308029}, {\"name\": \"Franco Frattolillo\", \"id\": 57374}], \"links\": [{\"source\": 34754, \"target\": 62023}, {\"source\": 34754, \"target\": 97187}, {\"source\": 34754, \"target\": 820934}, {\"source\": 34754, \"target\": 1013138}, {\"source\": 97187, \"target\": 7930}, {\"source\": 97187, \"target\": 21593}, {\"source\": 97187, \"target\": 57374}, {\"source\": 97187, \"target\": 69292}, {\"source\": 97187, \"target\": 96181}, {\"source\": 820934, \"target\": 7930}, {\"source\": 820934, \"target\": 21593}, {\"source\": 820934, \"target\": 57374}, {\"source\": 820934, \"target\": 69292}, {\"source\": 820934, \"target\": 96181}, {\"source\": 62023, \"target\": 7930}, {\"source\": 62023, \"target\": 21593}, {\"source\": 62023, \"target\": 44562}, {\"source\": 62023, \"target\": 57374}, {\"source\": 62023, \"target\": 69292}, {\"source\": 62023, \"target\": 96181}, {\"source\": 62023, \"target\": 321819}, {\"source\": 69292, \"target\": 44562}, {\"source\": 69292, \"target\": 321819}, {\"source\": 69292, \"target\": 1013138}, {\"source\": 44562, \"target\": 7930}, {\"source\": 44562, \"target\": 57374}, {\"source\": 1013138, \"target\": 7930}, {\"source\": 1013138, \"target\": 21593}, {\"source\": 1013138, \"target\": 57374}, {\"source\": 1013138, \"target\": 96181}, {\"source\": 96181, \"target\": 308029}, {\"source\": 45719, \"target\": 57374}, {\"source\": 7930, \"target\": 57374}]}", "id": 1067, "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\nProblem to Solve\n\n- Authors in the network: Bin Zhao, Pan-Lung Tsai, Ping Wah Wong, Nasir D. Memon, Weidong Kou, Min Wu, Pei-Ling Yu, Geong Sen Poh, Franco Bartolini, Jun Zhang, Bart Preneel, Shivkumar Chandrasekaran, Yongle Wu, Franco Frattolillo\n- Research collaborations between these authors: Bin Zhao and Nasir D. Memon, Bin Zhao and Pan-Lung Tsai, Bin Zhao and Ping Wah Wong, Bin Zhao and Pei-Ling Yu, Pan-Lung Tsai and Bart Preneel, Pan-Lung Tsai and Jun Zhang, Pan-Lung Tsai and Franco Frattolillo, Pan-Lung Tsai and Weidong Kou, Pan-Lung Tsai and Geong Sen Poh, Ping Wah Wong and Bart Preneel, Ping Wah Wong and Jun Zhang, Ping Wah Wong and Franco Frattolillo, Ping Wah Wong and Weidong Kou, Ping Wah Wong and Geong Sen Poh, Nasir D. Memon and Bart Preneel, Nasir D. Memon and Jun Zhang, Nasir D. Memon and Min Wu, Nasir D. Memon and Franco Frattolillo, Nasir D. Memon and Weidong Kou, Nasir D. Memon and Geong Sen Poh, Nasir D. Memon and Shivkumar Chandrasekaran, Weidong Kou and Min Wu, Weidong Kou and Shivkumar Chandrasekaran, Weidong Kou and Pei-Ling Yu, Min Wu and Bart Preneel, Min Wu and Franco Frattolillo, Pei-Ling Yu and Bart Preneel, Pei-Ling Yu and Jun Zhang, Pei-Ling Yu and Franco Frattolillo, Pei-Ling Yu and Geong Sen Poh, Geong Sen Poh and Yongle Wu, Franco Bartolini and Franco Frattolillo, Bart Preneel and Franco Frattolillo.\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\nProblem to Solve\n\n- Authors in the network: Stephen K. Sunter, Wright Joe, Patrick J. McHugh, Ken Filliter, Jari Hannu, Brian Fitzgibbon, Shi-Yu Huang, Franco Maloberti, Michael Peter Kennedy, Jwu E. Chen, Alessandro Lo Schiavo, Juha Häkkinen, Juha-Veikko Voutilainen, Markku Moilanen\n- Research collaborations between these authors: Stephen K. Sunter and Shi-Yu Huang, Stephen K. Sunter and Jwu E. Chen, Stephen K. Sunter and Markku Moilanen, Wright Joe and Markku Moilanen, Patrick J. McHugh and Markku Moilanen, Ken Filliter and Markku Moilanen, Jari Hannu and Markku Moilanen, Brian Fitzgibbon and Michael Peter Kennedy, Brian Fitzgibbon and Franco Maloberti, Shi-Yu Huang and Jwu E. Chen, Franco Maloberti and Michael Peter Kennedy, Michael Peter Kennedy and Juha Häkkinen, Michael Peter Kennedy and Alessandro Lo Schiavo, Juha Häkkinen and Markku Moilanen, Juha-Veikko Voutilainen and Markku Moilanen.\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\": \"Ken Filliter\", \"id\": 1013057}, {\"name\": \"Wright Joe\", \"id\": 1013058}, {\"name\": \"Patrick J. McHugh\", \"id\": 1013059}, {\"name\": \"Stephen K. Sunter\", \"id\": 259585}, {\"name\": \"Juha-Veikko Voutilainen\", \"id\": 290333}, {\"name\": \"Jari Hannu\", \"id\": 591272}, {\"name\": \"Shi-Yu Huang\", \"id\": 93487}, {\"name\": \"Franco Maloberti\", \"id\": 252464}, {\"name\": \"Michael Peter Kennedy\", \"id\": 302834}, {\"name\": \"Jwu E. Chen\", \"id\": 117940}, {\"name\": \"Alessandro Lo Schiavo\", \"id\": 420084}, {\"name\": \"Juha H\\u00e4kkinen\", \"id\": 290331}, {\"name\": \"Brian Fitzgibbon\", \"id\": 634621}, {\"name\": \"Markku Moilanen\", \"id\": 290334}], \"links\": [{\"source\": 1013057, \"target\": 290334}, {\"source\": 1013058, \"target\": 290334}, {\"source\": 1013059, \"target\": 290334}, {\"source\": 259585, \"target\": 93487}, {\"source\": 259585, \"target\": 117940}, {\"source\": 259585, \"target\": 290334}, {\"source\": 290333, \"target\": 290334}, {\"source\": 591272, \"target\": 290334}, {\"source\": 93487, \"target\": 117940}, {\"source\": 252464, \"target\": 302834}, {\"source\": 252464, \"target\": 634621}, {\"source\": 302834, \"target\": 290331}, {\"source\": 302834, \"target\": 420084}, {\"source\": 302834, \"target\": 634621}, {\"source\": 290331, \"target\": 290334}]}", "id": 2397, "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\nProblem to Solve\n\n- Authors in the network: Stephen K. Sunter, Wright Joe, Patrick J. McHugh, Ken Filliter, Jari Hannu, Brian Fitzgibbon, Shi-Yu Huang, Franco Maloberti, Michael Peter Kennedy, Jwu E. Chen, Alessandro Lo Schiavo, Juha Häkkinen, Juha-Veikko Voutilainen, Markku Moilanen\n- Research collaborations between these authors: Stephen K. Sunter and Shi-Yu Huang, Stephen K. Sunter and Jwu E. Chen, Stephen K. Sunter and Markku Moilanen, Wright Joe and Markku Moilanen, Patrick J. McHugh and Markku Moilanen, Ken Filliter and Markku Moilanen, Jari Hannu and Markku Moilanen, Brian Fitzgibbon and Michael Peter Kennedy, Brian Fitzgibbon and Franco Maloberti, Shi-Yu Huang and Jwu E. Chen, Franco Maloberti and Michael Peter Kennedy, Michael Peter Kennedy and Juha Häkkinen, Michael Peter Kennedy and Alessandro Lo Schiavo, Juha Häkkinen and Markku Moilanen, Juha-Veikko Voutilainen and Markku Moilanen.\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\nProblem to Solve\n\n- Authors in the network: Allison Druin, Alexander J. Quinn, Erik Grönvall, Peta Wyeth, Letizia Tanca, Susanne Lindberg, Helene Gelderblom, Pontus Wärnestål, Yvonne Rogers, Jens Nygren, Elizabeth M. Bonsignore, Jared Cardon, Raymond Lister, Brad A. Myers\n- Research collaborations between these authors: Allison Druin and Yvonne Rogers, Allison Druin and Alexander J. Quinn, Allison Druin and Elizabeth M. Bonsignore, Allison Druin and Peta Wyeth, Allison Druin and Susanne Lindberg, Allison Druin and Helene Gelderblom, Allison Druin and Jared Cardon, Alexander J. Quinn and Elizabeth M. Bonsignore, Susanne Lindberg and Pontus Wärnestål, Susanne Lindberg and Jens Nygren, Helene Gelderblom and Elizabeth M. Bonsignore, Helene Gelderblom and Raymond Lister, Elizabeth M. Bonsignore and Jared Cardon.\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\": \"Allison Druin\", \"id\": 295202}, {\"name\": \"Alexander J. Quinn\", \"id\": 430307}, {\"name\": \"Peta Wyeth\", \"id\": 331756}, {\"name\": \"Letizia Tanca\", \"id\": 21357}, {\"name\": \"Susanne Lindberg\", \"id\": 519630}, {\"name\": \"Helene Gelderblom\", \"id\": 737999}, {\"name\": \"Pontus W\\u00e4rnest\\u00e5l\", \"id\": 387152}, {\"name\": \"Yvonne Rogers\", \"id\": 238258}, {\"name\": \"Jens Nygren\", \"id\": 581554}, {\"name\": \"Elizabeth M. Bonsignore\", \"id\": 488371}, {\"name\": \"Erik Gr\\u00f6nvall\", \"id\": 83639}, {\"name\": \"Raymond Lister\", \"id\": 264153}, {\"name\": \"Brad A. Myers\", \"id\": 153085}, {\"name\": \"Jared Cardon\", \"id\": 1266039}], \"links\": [{\"source\": 295202, \"target\": 238258}, {\"source\": 295202, \"target\": 430307}, {\"source\": 295202, \"target\": 488371}, {\"source\": 295202, \"target\": 331756}, {\"source\": 295202, \"target\": 519630}, {\"source\": 295202, \"target\": 737999}, {\"source\": 295202, \"target\": 1266039}, {\"source\": 430307, \"target\": 488371}, {\"source\": 519630, \"target\": 387152}, {\"source\": 519630, \"target\": 581554}, {\"source\": 737999, \"target\": 488371}, {\"source\": 737999, \"target\": 264153}, {\"source\": 488371, \"target\": 1266039}]}", "id": 2897, "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\nProblem to Solve\n\n- Authors in the network: Allison Druin, Alexander J. Quinn, Erik Grönvall, Peta Wyeth, Letizia Tanca, Susanne Lindberg, Helene Gelderblom, Pontus Wärnestål, Yvonne Rogers, Jens Nygren, Elizabeth M. Bonsignore, Jared Cardon, Raymond Lister, Brad A. Myers\n- Research collaborations between these authors: Allison Druin and Yvonne Rogers, Allison Druin and Alexander J. Quinn, Allison Druin and Elizabeth M. Bonsignore, Allison Druin and Peta Wyeth, Allison Druin and Susanne Lindberg, Allison Druin and Helene Gelderblom, Allison Druin and Jared Cardon, Alexander J. Quinn and Elizabeth M. Bonsignore, Susanne Lindberg and Pontus Wärnestål, Susanne Lindberg and Jens Nygren, Helene Gelderblom and Elizabeth M. Bonsignore, Helene Gelderblom and Raymond Lister, Elizabeth M. Bonsignore and Jared Cardon.\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\nProblem to Solve\n\n- Authors in the network: Fabio Ganovelli, Roberto Rosselli Del Turco, Han-Wei Shen, Fabio Remondino, Reinhard Klein, Paolo Cignoni, Michael M. Kazhdan, Roberto Scopigno, Guy Godin, Marc Levoy, Hans-Peter Seidel, Marco Callieri, Enrico Gobbetti, Kwan-Liu Ma\n- Research collaborations between these authors: Fabio Ganovelli and Enrico Gobbetti, Fabio Ganovelli and Paolo Cignoni, Fabio Ganovelli and Roberto Scopigno, Fabio Ganovelli and Reinhard Klein, Fabio Ganovelli and Hans-Peter Seidel, Fabio Ganovelli and Marco Callieri, Fabio Ganovelli and Marc Levoy, Fabio Ganovelli and Fabio Remondino, Roberto Rosselli Del Turco and Roberto Scopigno, Han-Wei Shen and Enrico Gobbetti, Han-Wei Shen and Kwan-Liu Ma, Han-Wei Shen and Hans-Peter Seidel, Han-Wei Shen and Roberto Scopigno, Fabio Remondino and Hans-Peter Seidel, Fabio Remondino and Enrico Gobbetti, Fabio Remondino and Guy Godin, Fabio Remondino and Paolo Cignoni, Fabio Remondino and Roberto Scopigno, Fabio Remondino and Marc Levoy, Reinhard Klein and Hans-Peter Seidel, Reinhard Klein and Enrico Gobbetti, Reinhard Klein and Paolo Cignoni, Reinhard Klein and Roberto Scopigno, Reinhard Klein and Michael M. Kazhdan, Reinhard Klein and Marco Callieri, Reinhard Klein and Marc Levoy, Paolo Cignoni and Enrico Gobbetti, Paolo Cignoni and Hans-Peter Seidel, Paolo Cignoni and Guy Godin, Paolo Cignoni and Roberto Scopigno, Paolo Cignoni and Michael M. Kazhdan, Paolo Cignoni and Marco Callieri, Paolo Cignoni and Marc Levoy, Michael M. Kazhdan and Hans-Peter Seidel, Michael M. Kazhdan and Enrico Gobbetti, Michael M. Kazhdan and Roberto Scopigno, Michael M. Kazhdan and Marc Levoy, Roberto Scopigno and Enrico Gobbetti, Roberto Scopigno and Hans-Peter Seidel, Roberto Scopigno and Guy Godin, Roberto Scopigno and Marco Callieri, Roberto Scopigno and Marc Levoy, Guy Godin and Enrico Gobbetti, Guy Godin and Marc Levoy, Guy Godin and Marco Callieri, Marc Levoy and Hans-Peter Seidel, Marc Levoy and Enrico Gobbetti, Marc Levoy and Marco Callieri, Hans-Peter Seidel and Kwan-Liu Ma, Hans-Peter Seidel and Enrico Gobbetti, Hans-Peter Seidel and Marco Callieri, Marco Callieri and Enrico Gobbetti, Enrico Gobbetti and Kwan-Liu 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": 8, "style": "rule" }	{ "exact_answer": 8, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Fabio Ganovelli\", \"id\": 87265}, {\"name\": \"Roberto Rosselli Del Turco\", \"id\": 489602}, {\"name\": \"Han-Wei Shen\", \"id\": 94307}, {\"name\": \"Fabio Remondino\", \"id\": 112579}, {\"name\": \"Reinhard Klein\", \"id\": 37925}, {\"name\": \"Paolo Cignoni\", \"id\": 32912}, {\"name\": \"Michael M. Kazhdan\", \"id\": 49425}, {\"name\": \"Roberto Scopigno\", \"id\": 32915}, {\"name\": \"Guy Godin\", \"id\": 14259}, {\"name\": \"Marc Levoy\", \"id\": 219062}, {\"name\": \"Hans-Peter Seidel\", \"id\": 3127}, {\"name\": \"Marco Callieri\", \"id\": 129240}, {\"name\": \"Enrico Gobbetti\", \"id\": 6811}, {\"name\": \"Kwan-Liu Ma\", \"id\": 6911}], \"links\": [{\"source\": 87265, \"target\": 6811}, {\"source\": 87265, \"target\": 32912}, {\"source\": 87265, \"target\": 32915}, {\"source\": 87265, \"target\": 37925}, {\"source\": 87265, \"target\": 3127}, {\"source\": 87265, \"target\": 129240}, {\"source\": 87265, \"target\": 219062}, {\"source\": 87265, \"target\": 112579}, {\"source\": 489602, \"target\": 32915}, {\"source\": 94307, \"target\": 6811}, {\"source\": 94307, \"target\": 6911}, {\"source\": 94307, \"target\": 3127}, {\"source\": 94307, \"target\": 32915}, {\"source\": 112579, \"target\": 3127}, {\"source\": 112579, \"target\": 6811}, {\"source\": 112579, \"target\": 14259}, {\"source\": 112579, \"target\": 32912}, {\"source\": 112579, \"target\": 32915}, {\"source\": 112579, \"target\": 219062}, {\"source\": 37925, \"target\": 3127}, {\"source\": 37925, \"target\": 6811}, {\"source\": 37925, \"target\": 32912}, {\"source\": 37925, \"target\": 32915}, {\"source\": 37925, \"target\": 49425}, {\"source\": 37925, \"target\": 129240}, {\"source\": 37925, \"target\": 219062}, {\"source\": 32912, \"target\": 6811}, {\"source\": 32912, \"target\": 3127}, {\"source\": 32912, \"target\": 14259}, {\"source\": 32912, \"target\": 32915}, {\"source\": 32912, \"target\": 49425}, {\"source\": 32912, \"target\": 129240}, {\"source\": 32912, \"target\": 219062}, {\"source\": 49425, \"target\": 3127}, {\"source\": 49425, \"target\": 6811}, {\"source\": 49425, \"target\": 32915}, {\"source\": 49425, \"target\": 219062}, {\"source\": 32915, \"target\": 6811}, {\"source\": 32915, \"target\": 3127}, {\"source\": 32915, \"target\": 14259}, {\"source\": 32915, \"target\": 129240}, {\"source\": 32915, \"target\": 219062}, {\"source\": 14259, \"target\": 6811}, {\"source\": 14259, \"target\": 219062}, {\"source\": 14259, \"target\": 129240}, {\"source\": 219062, \"target\": 3127}, {\"source\": 219062, \"target\": 6811}, {\"source\": 219062, \"target\": 129240}, {\"source\": 3127, \"target\": 6911}, {\"source\": 3127, \"target\": 6811}, {\"source\": 3127, \"target\": 129240}, {\"source\": 129240, \"target\": 6811}, {\"source\": 6811, \"target\": 6911}]}", "id": 1317, "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\nProblem to Solve\n\n- Authors in the network: Fabio Ganovelli, Roberto Rosselli Del Turco, Han-Wei Shen, Fabio Remondino, Reinhard Klein, Paolo Cignoni, Michael M. Kazhdan, Roberto Scopigno, Guy Godin, Marc Levoy, Hans-Peter Seidel, Marco Callieri, Enrico Gobbetti, Kwan-Liu Ma\n- Research collaborations between these authors: Fabio Ganovelli and Enrico Gobbetti, Fabio Ganovelli and Paolo Cignoni, Fabio Ganovelli and Roberto Scopigno, Fabio Ganovelli and Reinhard Klein, Fabio Ganovelli and Hans-Peter Seidel, Fabio Ganovelli and Marco Callieri, Fabio Ganovelli and Marc Levoy, Fabio Ganovelli and Fabio Remondino, Roberto Rosselli Del Turco and Roberto Scopigno, Han-Wei Shen and Enrico Gobbetti, Han-Wei Shen and Kwan-Liu Ma, Han-Wei Shen and Hans-Peter Seidel, Han-Wei Shen and Roberto Scopigno, Fabio Remondino and Hans-Peter Seidel, Fabio Remondino and Enrico Gobbetti, Fabio Remondino and Guy Godin, Fabio Remondino and Paolo Cignoni, Fabio Remondino and Roberto Scopigno, Fabio Remondino and Marc Levoy, Reinhard Klein and Hans-Peter Seidel, Reinhard Klein and Enrico Gobbetti, Reinhard Klein and Paolo Cignoni, Reinhard Klein and Roberto Scopigno, Reinhard Klein and Michael M. Kazhdan, Reinhard Klein and Marco Callieri, Reinhard Klein and Marc Levoy, Paolo Cignoni and Enrico Gobbetti, Paolo Cignoni and Hans-Peter Seidel, Paolo Cignoni and Guy Godin, Paolo Cignoni and Roberto Scopigno, Paolo Cignoni and Michael M. Kazhdan, Paolo Cignoni and Marco Callieri, Paolo Cignoni and Marc Levoy, Michael M. Kazhdan and Hans-Peter Seidel, Michael M. Kazhdan and Enrico Gobbetti, Michael M. Kazhdan and Roberto Scopigno, Michael M. Kazhdan and Marc Levoy, Roberto Scopigno and Enrico Gobbetti, Roberto Scopigno and Hans-Peter Seidel, Roberto Scopigno and Guy Godin, Roberto Scopigno and Marco Callieri, Roberto Scopigno and Marc Levoy, Guy Godin and Enrico Gobbetti, Guy Godin and Marc Levoy, Guy Godin and Marco Callieri, Marc Levoy and Hans-Peter Seidel, Marc Levoy and Enrico Gobbetti, Marc Levoy and Marco Callieri, Hans-Peter Seidel and Kwan-Liu Ma, Hans-Peter Seidel and Enrico Gobbetti, Hans-Peter Seidel and Marco Callieri, Marco Callieri and Enrico Gobbetti, Enrico Gobbetti and Kwan-Liu 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\nProblem to Solve\n\n- Authors in the network: Alan Mycroft, Gordon D. Plotkin, Dimitrios Vytiniotis, Tomas Petricek, Roman Leshchinskiy, Philip Wadler, Matija Pretnar, Dominic A. Orchard, Shin-ya Katsumata, Nobuko Yoshida, Gabriele Keller, Manuel M. T. Chakravarty, Andrew C. Rice, Varmo Vene\n- Research collaborations between these authors: Alan Mycroft and Nobuko Yoshida, Alan Mycroft and Dominic A. Orchard, Alan Mycroft and Varmo Vene, Alan Mycroft and Gordon D. Plotkin, Alan Mycroft and Tomas Petricek, Gordon D. Plotkin and Shin-ya Katsumata, Gordon D. Plotkin and Nobuko Yoshida, Gordon D. Plotkin and Dominic A. Orchard, Gordon D. Plotkin and Varmo Vene, Gordon D. Plotkin and Matija Pretnar, Dimitrios Vytiniotis and Dominic A. Orchard, Dimitrios Vytiniotis and Manuel M. T. Chakravarty, Dimitrios Vytiniotis and Gabriele Keller, Dimitrios Vytiniotis and Philip Wadler, Tomas Petricek and Shin-ya Katsumata, Tomas Petricek and Dominic A. Orchard, Tomas Petricek and Varmo Vene, Tomas Petricek and Philip Wadler, Roman Leshchinskiy and Dominic A. Orchard, Roman Leshchinskiy and Manuel M. T. Chakravarty, Roman Leshchinskiy and Gabriele Keller, Philip Wadler and Nobuko Yoshida, Philip Wadler and Dominic A. Orchard, Philip Wadler and Manuel M. T. Chakravarty, Matija Pretnar and Nobuko Yoshida, Matija Pretnar and Dominic A. Orchard, Dominic A. Orchard and Shin-ya Katsumata, Dominic A. Orchard and Nobuko Yoshida, Dominic A. Orchard and Andrew C. Rice, Dominic A. Orchard and Varmo Vene, Dominic A. Orchard and Manuel M. T. Chakravarty, Dominic A. Orchard and Gabriele Keller, Shin-ya Katsumata and Varmo Vene, Gabriele Keller and Manuel M. T. Chakravarty.\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\": \"Alan Mycroft\", \"id\": 50752}, {\"name\": \"Gordon D. Plotkin\", \"id\": 239720}, {\"name\": \"Dimitrios Vytiniotis\", \"id\": 214635}, {\"name\": \"Tomas Petricek\", \"id\": 110060}, {\"name\": \"Roman Leshchinskiy\", \"id\": 336494}, {\"name\": \"Philip Wadler\", \"id\": 331343}, {\"name\": \"Matija Pretnar\", \"id\": 437488}, {\"name\": \"Dominic A. Orchard\", \"id\": 141234}, {\"name\": \"Shin-ya Katsumata\", \"id\": 8244}, {\"name\": \"Nobuko Yoshida\", \"id\": 25334}, {\"name\": \"Gabriele Keller\", \"id\": 255159}, {\"name\": \"Manuel M. T. Chakravarty\", \"id\": 216602}, {\"name\": \"Andrew C. Rice\", \"id\": 75069}, {\"name\": \"Varmo Vene\", \"id\": 150878}], \"links\": [{\"source\": 50752, \"target\": 25334}, {\"source\": 50752, \"target\": 141234}, {\"source\": 50752, \"target\": 150878}, {\"source\": 50752, \"target\": 239720}, {\"source\": 50752, \"target\": 110060}, {\"source\": 239720, \"target\": 8244}, {\"source\": 239720, \"target\": 25334}, {\"source\": 239720, \"target\": 141234}, {\"source\": 239720, \"target\": 150878}, {\"source\": 239720, \"target\": 437488}, {\"source\": 214635, \"target\": 141234}, {\"source\": 214635, \"target\": 216602}, {\"source\": 214635, \"target\": 255159}, {\"source\": 214635, \"target\": 331343}, {\"source\": 110060, \"target\": 8244}, {\"source\": 110060, \"target\": 141234}, {\"source\": 110060, \"target\": 150878}, {\"source\": 110060, \"target\": 331343}, {\"source\": 336494, \"target\": 141234}, {\"source\": 336494, \"target\": 216602}, {\"source\": 336494, \"target\": 255159}, {\"source\": 331343, \"target\": 25334}, {\"source\": 331343, \"target\": 141234}, {\"source\": 331343, \"target\": 216602}, {\"source\": 437488, \"target\": 25334}, {\"source\": 437488, \"target\": 141234}, {\"source\": 141234, \"target\": 8244}, {\"source\": 141234, \"target\": 25334}, {\"source\": 141234, \"target\": 75069}, {\"source\": 141234, \"target\": 150878}, {\"source\": 141234, \"target\": 216602}, {\"source\": 141234, \"target\": 255159}, {\"source\": 8244, \"target\": 150878}, {\"source\": 255159, \"target\": 216602}]}", "id": 63, "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\nProblem to Solve\n\n- Authors in the network: Alan Mycroft, Gordon D. Plotkin, Dimitrios Vytiniotis, Tomas Petricek, Roman Leshchinskiy, Philip Wadler, Matija Pretnar, Dominic A. Orchard, Shin-ya Katsumata, Nobuko Yoshida, Gabriele Keller, Manuel M. T. Chakravarty, Andrew C. Rice, Varmo Vene\n- Research collaborations between these authors: Alan Mycroft and Nobuko Yoshida, Alan Mycroft and Dominic A. Orchard, Alan Mycroft and Varmo Vene, Alan Mycroft and Gordon D. Plotkin, Alan Mycroft and Tomas Petricek, Gordon D. Plotkin and Shin-ya Katsumata, Gordon D. Plotkin and Nobuko Yoshida, Gordon D. Plotkin and Dominic A. Orchard, Gordon D. Plotkin and Varmo Vene, Gordon D. Plotkin and Matija Pretnar, Dimitrios Vytiniotis and Dominic A. Orchard, Dimitrios Vytiniotis and Manuel M. T. Chakravarty, Dimitrios Vytiniotis and Gabriele Keller, Dimitrios Vytiniotis and Philip Wadler, Tomas Petricek and Shin-ya Katsumata, Tomas Petricek and Dominic A. Orchard, Tomas Petricek and Varmo Vene, Tomas Petricek and Philip Wadler, Roman Leshchinskiy and Dominic A. Orchard, Roman Leshchinskiy and Manuel M. T. Chakravarty, Roman Leshchinskiy and Gabriele Keller, Philip Wadler and Nobuko Yoshida, Philip Wadler and Dominic A. Orchard, Philip Wadler and Manuel M. T. Chakravarty, Matija Pretnar and Nobuko Yoshida, Matija Pretnar and Dominic A. Orchard, Dominic A. Orchard and Shin-ya Katsumata, Dominic A. Orchard and Nobuko Yoshida, Dominic A. Orchard and Andrew C. Rice, Dominic A. Orchard and Varmo Vene, Dominic A. Orchard and Manuel M. T. Chakravarty, Dominic A. Orchard and Gabriele Keller, Shin-ya Katsumata and Varmo Vene, Gabriele Keller and Manuel M. T. Chakravarty.\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\nProblem to Solve\n\n- Authors in the network: Lieven De Strycker, Bart Nauwelaers, W. De Raedt, Jean Pierre Goemaere, Bradford M. Beckmann, Eric Beyne, Maarten Kuijk, Kevin D'hoe, Nobby Stevens, David A. Wood, S. Brebels, Geert Carchon, Jayaprakash Balachandran, Hiroaki Kobayashi\n- Research collaborations between these authors: Lieven De Strycker and Bart Nauwelaers, Lieven De Strycker and Jean Pierre Goemaere, Lieven De Strycker and Kevin D'hoe, Lieven De Strycker and Nobby Stevens, Bart Nauwelaers and Eric Beyne, Bart Nauwelaers and Jean Pierre Goemaere, Bart Nauwelaers and Geert Carchon, Bart Nauwelaers and Kevin D'hoe, Bart Nauwelaers and Nobby Stevens, Bart Nauwelaers and S. Brebels, Bart Nauwelaers and W. De Raedt, Bart Nauwelaers and Jayaprakash Balachandran, Bart Nauwelaers and Maarten Kuijk, W. De Raedt and Maarten Kuijk, W. De Raedt and Eric Beyne, W. De Raedt and Geert Carchon, W. De Raedt and S. Brebels, W. De Raedt and Jayaprakash Balachandran, Jean Pierre Goemaere and Nobby Stevens, Jean Pierre Goemaere and Kevin D'hoe, Bradford M. Beckmann and David A. Wood, Bradford M. Beckmann and Eric Beyne, Bradford M. Beckmann and Geert Carchon, Bradford M. Beckmann and S. Brebels, Eric Beyne and Hiroaki Kobayashi, Eric Beyne and Maarten Kuijk, Eric Beyne and David A. Wood, Eric Beyne and Geert Carchon, Eric Beyne and S. Brebels, Eric Beyne and Jayaprakash Balachandran, Maarten Kuijk and Geert Carchon, Maarten Kuijk and S. Brebels, Maarten Kuijk and Jayaprakash Balachandran, Kevin D'hoe and Nobby Stevens, David A. Wood and Geert Carchon, David A. Wood and S. Brebels, S. Brebels and Geert Carchon, S. Brebels and Jayaprakash Balachandran, Geert Carchon and Jayaprakash Balachandran.\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\": \"Lieven De Strycker\", \"id\": 34208}, {\"name\": \"Bart Nauwelaers\", \"id\": 32193}, {\"name\": \"W. De Raedt\", \"id\": 820067}, {\"name\": \"Jean Pierre Goemaere\", \"id\": 424067}, {\"name\": \"Bradford M. Beckmann\", \"id\": 410885}, {\"name\": \"Eric Beyne\", \"id\": 366598}, {\"name\": \"Maarten Kuijk\", \"id\": 304904}, {\"name\": \"Kevin D'hoe\", \"id\": 613837}, {\"name\": \"Nobby Stevens\", \"id\": 613838}, {\"name\": \"David A. Wood\", \"id\": 327407}, {\"name\": \"S. Brebels\", \"id\": 640976}, {\"name\": \"Geert Carchon\", \"id\": 599281}, {\"name\": \"Jayaprakash Balachandran\", \"id\": 925077}, {\"name\": \"Hiroaki Kobayashi\", \"id\": 124575}], \"links\": [{\"source\": 34208, \"target\": 32193}, {\"source\": 34208, \"target\": 424067}, {\"source\": 34208, \"target\": 613837}, {\"source\": 34208, \"target\": 613838}, {\"source\": 32193, \"target\": 366598}, {\"source\": 32193, \"target\": 424067}, {\"source\": 32193, \"target\": 599281}, {\"source\": 32193, \"target\": 613837}, {\"source\": 32193, \"target\": 613838}, {\"source\": 32193, \"target\": 640976}, {\"source\": 32193, \"target\": 820067}, {\"source\": 32193, \"target\": 925077}, {\"source\": 32193, \"target\": 304904}, {\"source\": 820067, \"target\": 304904}, {\"source\": 820067, \"target\": 366598}, {\"source\": 820067, \"target\": 599281}, {\"source\": 820067, \"target\": 640976}, {\"source\": 820067, \"target\": 925077}, {\"source\": 424067, \"target\": 613838}, {\"source\": 424067, \"target\": 613837}, {\"source\": 410885, \"target\": 327407}, {\"source\": 410885, \"target\": 366598}, {\"source\": 410885, \"target\": 599281}, {\"source\": 410885, \"target\": 640976}, {\"source\": 366598, \"target\": 124575}, {\"source\": 366598, \"target\": 304904}, {\"source\": 366598, \"target\": 327407}, {\"source\": 366598, \"target\": 599281}, {\"source\": 366598, \"target\": 640976}, {\"source\": 366598, \"target\": 925077}, {\"source\": 304904, \"target\": 599281}, {\"source\": 304904, \"target\": 640976}, {\"source\": 304904, \"target\": 925077}, {\"source\": 613837, \"target\": 613838}, {\"source\": 327407, \"target\": 599281}, {\"source\": 327407, \"target\": 640976}, {\"source\": 640976, \"target\": 599281}, {\"source\": 640976, \"target\": 925077}, {\"source\": 599281, \"target\": 925077}]}", "id": 1978, "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\nProblem to Solve\n\n- Authors in the network: Lieven De Strycker, Bart Nauwelaers, W. De Raedt, Jean Pierre Goemaere, Bradford M. Beckmann, Eric Beyne, Maarten Kuijk, Kevin D'hoe, Nobby Stevens, David A. Wood, S. Brebels, Geert Carchon, Jayaprakash Balachandran, Hiroaki Kobayashi\n- Research collaborations between these authors: Lieven De Strycker and Bart Nauwelaers, Lieven De Strycker and Jean Pierre Goemaere, Lieven De Strycker and Kevin D'hoe, Lieven De Strycker and Nobby Stevens, Bart Nauwelaers and Eric Beyne, Bart Nauwelaers and Jean Pierre Goemaere, Bart Nauwelaers and Geert Carchon, Bart Nauwelaers and Kevin D'hoe, Bart Nauwelaers and Nobby Stevens, Bart Nauwelaers and S. Brebels, Bart Nauwelaers and W. De Raedt, Bart Nauwelaers and Jayaprakash Balachandran, Bart Nauwelaers and Maarten Kuijk, W. De Raedt and Maarten Kuijk, W. De Raedt and Eric Beyne, W. De Raedt and Geert Carchon, W. De Raedt and S. Brebels, W. De Raedt and Jayaprakash Balachandran, Jean Pierre Goemaere and Nobby Stevens, Jean Pierre Goemaere and Kevin D'hoe, Bradford M. Beckmann and David A. Wood, Bradford M. Beckmann and Eric Beyne, Bradford M. Beckmann and Geert Carchon, Bradford M. Beckmann and S. Brebels, Eric Beyne and Hiroaki Kobayashi, Eric Beyne and Maarten Kuijk, Eric Beyne and David A. Wood, Eric Beyne and Geert Carchon, Eric Beyne and S. Brebels, Eric Beyne and Jayaprakash Balachandran, Maarten Kuijk and Geert Carchon, Maarten Kuijk and S. Brebels, Maarten Kuijk and Jayaprakash Balachandran, Kevin D'hoe and Nobby Stevens, David A. Wood and Geert Carchon, David A. Wood and S. Brebels, S. Brebels and Geert Carchon, S. Brebels and Jayaprakash Balachandran, Geert Carchon and Jayaprakash Balachandran.\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\nProblem to Solve\n\n- Authors in the network: Ramakrishna S. Budampati, Andrzej Cichocki, Albert Heuberger, Gérard Favier, Alain Y. Kibangou, Xavier Luciani, Sebastian Miron, Rohit U. Nabar, Wagner Caradori do Amaral, Tao Jiang, Nicholas D. Sidiropoulos, João Cesar M. Mota, André L. F. de Almeida, Lieven De Lathauwer\n- Research collaborations between these authors: Ramakrishna S. Budampati and André L. F. de Almeida, Ramakrishna S. Budampati and Gérard Favier, Andrzej Cichocki and Nicholas D. Sidiropoulos, Andrzej Cichocki and Lieven De Lathauwer, Andrzej Cichocki and André L. F. de Almeida, Andrzej Cichocki and Gérard Favier, Gérard Favier and Lieven De Lathauwer, Gérard Favier and João Cesar M. Mota, Gérard Favier and Alain Y. Kibangou, Gérard Favier and Wagner Caradori do Amaral, Gérard Favier and André L. F. de Almeida, Gérard Favier and Sebastian Miron, Gérard Favier and Tao Jiang, Gérard Favier and Nicholas D. Sidiropoulos, Gérard Favier and Rohit U. Nabar, Gérard Favier and Xavier Luciani, Alain Y. Kibangou and Nicholas D. Sidiropoulos, Alain Y. Kibangou and Lieven De Lathauwer, Alain Y. Kibangou and João Cesar M. Mota, Alain Y. Kibangou and André L. F. de Almeida, Alain Y. Kibangou and Wagner Caradori do Amaral, Xavier Luciani and Nicholas D. Sidiropoulos, Xavier Luciani and Lieven De Lathauwer, Xavier Luciani and João Cesar M. Mota, Xavier Luciani and André L. F. de Almeida, Sebastian Miron and Lieven De Lathauwer, Sebastian Miron and Nicholas D. Sidiropoulos, Sebastian Miron and André L. F. de Almeida, Rohit U. Nabar and André L. F. de Almeida, Tao Jiang and Nicholas D. Sidiropoulos, Tao Jiang and Lieven De Lathauwer, Tao Jiang and André L. F. de Almeida, Nicholas D. Sidiropoulos and Lieven De Lathauwer, Nicholas D. Sidiropoulos and André L. F. de Almeida, Nicholas D. Sidiropoulos and João Cesar M. Mota, João Cesar M. Mota and Lieven De Lathauwer, João Cesar M. Mota and André L. F. de Almeida, André L. F. de Almeida and Lieven De Lathauwer.\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\": \"Ramakrishna S. Budampati\", \"id\": 972705}, {\"name\": \"Andrzej Cichocki\", \"id\": 38530}, {\"name\": \"Andr\\u00e9 L. F. de Almeida\", \"id\": 228893}, {\"name\": \"Albert Heuberger\", \"id\": 460551}, {\"name\": \"G\\u00e9rard Favier\", \"id\": 273135}, {\"name\": \"Xavier Luciani\", \"id\": 278768}, {\"name\": \"Sebastian Miron\", \"id\": 248148}, {\"name\": \"Rohit U. Nabar\", \"id\": 253749}, {\"name\": \"Wagner Caradori do Amaral\", \"id\": 189431}, {\"name\": \"Tao Jiang\", \"id\": 1752}, {\"name\": \"Nicholas D. Sidiropoulos\", \"id\": 49242}, {\"name\": \"Jo\\u00e3o Cesar M. Mota\", \"id\": 159387}, {\"name\": \"Alain Y. Kibangou\", \"id\": 175069}, {\"name\": \"Lieven De Lathauwer\", \"id\": 142719}], \"links\": [{\"source\": 972705, \"target\": 228893}, {\"source\": 972705, \"target\": 273135}, {\"source\": 38530, \"target\": 49242}, {\"source\": 38530, \"target\": 142719}, {\"source\": 38530, \"target\": 228893}, {\"source\": 38530, \"target\": 273135}, {\"source\": 228893, \"target\": 49242}, {\"source\": 228893, \"target\": 142719}, {\"source\": 228893, \"target\": 159387}, {\"source\": 228893, \"target\": 175069}, {\"source\": 228893, \"target\": 1752}, {\"source\": 228893, \"target\": 253749}, {\"source\": 228893, \"target\": 273135}, {\"source\": 228893, \"target\": 248148}, {\"source\": 228893, \"target\": 278768}, {\"source\": 273135, \"target\": 142719}, {\"source\": 273135, \"target\": 159387}, {\"source\": 273135, \"target\": 175069}, {\"source\": 273135, \"target\": 189431}, {\"source\": 273135, \"target\": 248148}, {\"source\": 273135, \"target\": 1752}, {\"source\": 273135, \"target\": 49242}, {\"source\": 273135, \"target\": 253749}, {\"source\": 273135, \"target\": 278768}, {\"source\": 278768, \"target\": 49242}, {\"source\": 278768, \"target\": 142719}, {\"source\": 278768, \"target\": 159387}, {\"source\": 248148, \"target\": 142719}, {\"source\": 248148, \"target\": 49242}, {\"source\": 189431, \"target\": 175069}, {\"source\": 1752, \"target\": 49242}, {\"source\": 1752, \"target\": 142719}, {\"source\": 49242, \"target\": 142719}, {\"source\": 49242, \"target\": 175069}, {\"source\": 49242, \"target\": 159387}, {\"source\": 159387, \"target\": 142719}, {\"source\": 159387, \"target\": 175069}, {\"source\": 175069, \"target\": 142719}]}", "id": 2061, "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\nProblem to Solve\n\n- Authors in the network: Ramakrishna S. Budampati, Andrzej Cichocki, Albert Heuberger, Gérard Favier, Alain Y. Kibangou, Xavier Luciani, Sebastian Miron, Rohit U. Nabar, Wagner Caradori do Amaral, Tao Jiang, Nicholas D. Sidiropoulos, João Cesar M. Mota, André L. F. de Almeida, Lieven De Lathauwer\n- Research collaborations between these authors: Ramakrishna S. Budampati and André L. F. de Almeida, Ramakrishna S. Budampati and Gérard Favier, Andrzej Cichocki and Nicholas D. Sidiropoulos, Andrzej Cichocki and Lieven De Lathauwer, Andrzej Cichocki and André L. F. de Almeida, Andrzej Cichocki and Gérard Favier, Gérard Favier and Lieven De Lathauwer, Gérard Favier and João Cesar M. Mota, Gérard Favier and Alain Y. Kibangou, Gérard Favier and Wagner Caradori do Amaral, Gérard Favier and André L. F. de Almeida, Gérard Favier and Sebastian Miron, Gérard Favier and Tao Jiang, Gérard Favier and Nicholas D. Sidiropoulos, Gérard Favier and Rohit U. Nabar, Gérard Favier and Xavier Luciani, Alain Y. Kibangou and Nicholas D. Sidiropoulos, Alain Y. Kibangou and Lieven De Lathauwer, Alain Y. Kibangou and João Cesar M. Mota, Alain Y. Kibangou and André L. F. de Almeida, Alain Y. Kibangou and Wagner Caradori do Amaral, Xavier Luciani and Nicholas D. Sidiropoulos, Xavier Luciani and Lieven De Lathauwer, Xavier Luciani and João Cesar M. Mota, Xavier Luciani and André L. F. de Almeida, Sebastian Miron and Lieven De Lathauwer, Sebastian Miron and Nicholas D. Sidiropoulos, Sebastian Miron and André L. F. de Almeida, Rohit U. Nabar and André L. F. de Almeida, Tao Jiang and Nicholas D. Sidiropoulos, Tao Jiang and Lieven De Lathauwer, Tao Jiang and André L. F. de Almeida, Nicholas D. Sidiropoulos and Lieven De Lathauwer, Nicholas D. Sidiropoulos and André L. F. de Almeida, Nicholas D. Sidiropoulos and João Cesar M. Mota, João Cesar M. Mota and Lieven De Lathauwer, João Cesar M. Mota and André L. F. de Almeida, André L. F. de Almeida and Lieven De Lathauwer.\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\nProblem to Solve\n\n- Authors in the network: Michael L. Walters, Kerstin Dautenhahn, Kheng Lee Koay, Ruth Aylett, Masayuki Inaba, Katz Dror, Alexandra Kirsch, Elizabeth A. Croft, Chrystopher L. Nehaniv, Sarah Woods, Hiroshi Ishiguro, Cory D. Kidd, Norihiro Hagita, Takayuki Kanda\n- Research collaborations between these authors: Michael L. Walters and Norihiro Hagita, Michael L. Walters and Ruth Aylett, Michael L. Walters and Chrystopher L. Nehaniv, Michael L. Walters and Hiroshi Ishiguro, Michael L. Walters and Takayuki Kanda, Michael L. Walters and Alexandra Kirsch, Michael L. Walters and Elizabeth A. Croft, Michael L. Walters and Masayuki Inaba, Michael L. Walters and Kerstin Dautenhahn, Michael L. Walters and Kheng Lee Koay, Michael L. Walters and Cory D. Kidd, Michael L. Walters and Sarah Woods, Michael L. Walters and Katz Dror, Kerstin Dautenhahn and Norihiro Hagita, Kerstin Dautenhahn and Ruth Aylett, Kerstin Dautenhahn and Chrystopher L. Nehaniv, Kerstin Dautenhahn and Hiroshi Ishiguro, Kerstin Dautenhahn and Takayuki Kanda, Kerstin Dautenhahn and Alexandra Kirsch, Kerstin Dautenhahn and Elizabeth A. Croft, Kerstin Dautenhahn and Masayuki Inaba, Kerstin Dautenhahn and Kheng Lee Koay, Kerstin Dautenhahn and Cory D. Kidd, Kerstin Dautenhahn and Sarah Woods, Kerstin Dautenhahn and Katz Dror, Kheng Lee Koay and Norihiro Hagita, Kheng Lee Koay and Ruth Aylett, Kheng Lee Koay and Chrystopher L. Nehaniv, Kheng Lee Koay and Hiroshi Ishiguro, Kheng Lee Koay and Takayuki Kanda, Kheng Lee Koay and Alexandra Kirsch, Kheng Lee Koay and Elizabeth A. Croft, Kheng Lee Koay and Masayuki Inaba, Kheng Lee Koay and Cory D. Kidd, Kheng Lee Koay and Sarah Woods, Kheng Lee Koay and Katz Dror, Ruth Aylett and Chrystopher L. Nehaniv, Ruth Aylett and Sarah Woods, Masayuki Inaba and Norihiro Hagita, Masayuki Inaba and Hiroshi Ishiguro, Masayuki Inaba and Takayuki Kanda, Masayuki Inaba and Elizabeth A. Croft, Masayuki Inaba and Sarah Woods, Alexandra Kirsch and Chrystopher L. Nehaniv, Alexandra Kirsch and Hiroshi Ishiguro, Alexandra Kirsch and Takayuki Kanda, Alexandra Kirsch and Sarah Woods, Elizabeth A. Croft and Takayuki Kanda, Elizabeth A. Croft and Norihiro Hagita, Elizabeth A. Croft and Hiroshi Ishiguro, Elizabeth A. Croft and Cory D. Kidd, Chrystopher L. Nehaniv and Norihiro Hagita, Chrystopher L. Nehaniv and Hiroshi Ishiguro, Chrystopher L. Nehaniv and Takayuki Kanda, Chrystopher L. Nehaniv and Sarah Woods, Sarah Woods and Norihiro Hagita, Sarah Woods and Hiroshi Ishiguro, Sarah Woods and Takayuki Kanda, Sarah Woods and Cory D. Kidd, Hiroshi Ishiguro and Norihiro Hagita, Hiroshi Ishiguro and Takayuki Kanda, Hiroshi Ishiguro and Cory D. Kidd, Cory D. Kidd and Norihiro Hagita, Cory D. Kidd and Takayuki Kanda, Norihiro Hagita and Takayuki Kanda.\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\": \"Michael L. Walters\", \"id\": 116801}, {\"name\": \"Kerstin Dautenhahn\", \"id\": 116802}, {\"name\": \"Kheng Lee Koay\", \"id\": 116806}, {\"name\": \"Masayuki Inaba\", \"id\": 80649}, {\"name\": \"Katz Dror\", \"id\": 1308784}, {\"name\": \"Alexandra Kirsch\", \"id\": 61969}, {\"name\": \"Elizabeth A. Croft\", \"id\": 65140}, {\"name\": \"Chrystopher L. Nehaniv\", \"id\": 24373}, {\"name\": \"Sarah Woods\", \"id\": 421528}, {\"name\": \"Hiroshi Ishiguro\", \"id\": 26521}, {\"name\": \"Ruth Aylett\", \"id\": 21499}, {\"name\": \"Norihiro Hagita\", \"id\": 13308}, {\"name\": \"Cory D. Kidd\", \"id\": 147131}, {\"name\": \"Takayuki Kanda\", \"id\": 30047}], \"links\": [{\"source\": 116801, \"target\": 13308}, {\"source\": 116801, \"target\": 21499}, {\"source\": 116801, \"target\": 24373}, {\"source\": 116801, \"target\": 26521}, {\"source\": 116801, \"target\": 30047}, {\"source\": 116801, \"target\": 61969}, {\"source\": 116801, \"target\": 65140}, {\"source\": 116801, \"target\": 80649}, {\"source\": 116801, \"target\": 116802}, {\"source\": 116801, \"target\": 116806}, {\"source\": 116801, \"target\": 147131}, {\"source\": 116801, \"target\": 421528}, {\"source\": 116801, \"target\": 1308784}, {\"source\": 116802, \"target\": 13308}, {\"source\": 116802, \"target\": 21499}, {\"source\": 116802, \"target\": 24373}, {\"source\": 116802, \"target\": 26521}, {\"source\": 116802, \"target\": 30047}, {\"source\": 116802, \"target\": 61969}, {\"source\": 116802, \"target\": 65140}, {\"source\": 116802, \"target\": 80649}, {\"source\": 116802, \"target\": 116806}, {\"source\": 116802, \"target\": 147131}, {\"source\": 116802, \"target\": 421528}, {\"source\": 116802, \"target\": 1308784}, {\"source\": 116806, \"target\": 13308}, {\"source\": 116806, \"target\": 21499}, {\"source\": 116806, \"target\": 24373}, {\"source\": 116806, \"target\": 26521}, {\"source\": 116806, \"target\": 30047}, {\"source\": 116806, \"target\": 61969}, {\"source\": 116806, \"target\": 65140}, {\"source\": 116806, \"target\": 80649}, {\"source\": 116806, \"target\": 147131}, {\"source\": 116806, \"target\": 421528}, {\"source\": 116806, \"target\": 1308784}, {\"source\": 80649, \"target\": 13308}, {\"source\": 80649, \"target\": 26521}, {\"source\": 80649, \"target\": 30047}, {\"source\": 80649, \"target\": 65140}, {\"source\": 80649, \"target\": 421528}, {\"source\": 61969, \"target\": 24373}, {\"source\": 61969, \"target\": 26521}, {\"source\": 61969, \"target\": 30047}, {\"source\": 61969, \"target\": 421528}, {\"source\": 65140, \"target\": 30047}, {\"source\": 65140, \"target\": 13308}, {\"source\": 65140, \"target\": 26521}, {\"source\": 65140, \"target\": 147131}, {\"source\": 24373, \"target\": 13308}, {\"source\": 24373, \"target\": 21499}, {\"source\": 24373, \"target\": 26521}, {\"source\": 24373, \"target\": 30047}, {\"source\": 24373, \"target\": 421528}, {\"source\": 421528, \"target\": 13308}, {\"source\": 421528, \"target\": 21499}, {\"source\": 421528, \"target\": 26521}, {\"source\": 421528, \"target\": 30047}, {\"source\": 421528, \"target\": 147131}, {\"source\": 26521, \"target\": 13308}, {\"source\": 26521, \"target\": 30047}, {\"source\": 26521, \"target\": 147131}, {\"source\": 13308, \"target\": 30047}, {\"source\": 13308, \"target\": 147131}, {\"source\": 147131, \"target\": 30047}]}", "id": 822, "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\nProblem to Solve\n\n- Authors in the network: Michael L. Walters, Kerstin Dautenhahn, Kheng Lee Koay, Ruth Aylett, Masayuki Inaba, Katz Dror, Alexandra Kirsch, Elizabeth A. Croft, Chrystopher L. Nehaniv, Sarah Woods, Hiroshi Ishiguro, Cory D. Kidd, Norihiro Hagita, Takayuki Kanda\n- Research collaborations between these authors: Michael L. Walters and Norihiro Hagita, Michael L. Walters and Ruth Aylett, Michael L. Walters and Chrystopher L. Nehaniv, Michael L. Walters and Hiroshi Ishiguro, Michael L. Walters and Takayuki Kanda, Michael L. Walters and Alexandra Kirsch, Michael L. Walters and Elizabeth A. Croft, Michael L. Walters and Masayuki Inaba, Michael L. Walters and Kerstin Dautenhahn, Michael L. Walters and Kheng Lee Koay, Michael L. Walters and Cory D. Kidd, Michael L. Walters and Sarah Woods, Michael L. Walters and Katz Dror, Kerstin Dautenhahn and Norihiro Hagita, Kerstin Dautenhahn and Ruth Aylett, Kerstin Dautenhahn and Chrystopher L. Nehaniv, Kerstin Dautenhahn and Hiroshi Ishiguro, Kerstin Dautenhahn and Takayuki Kanda, Kerstin Dautenhahn and Alexandra Kirsch, Kerstin Dautenhahn and Elizabeth A. Croft, Kerstin Dautenhahn and Masayuki Inaba, Kerstin Dautenhahn and Kheng Lee Koay, Kerstin Dautenhahn and Cory D. Kidd, Kerstin Dautenhahn and Sarah Woods, Kerstin Dautenhahn and Katz Dror, Kheng Lee Koay and Norihiro Hagita, Kheng Lee Koay and Ruth Aylett, Kheng Lee Koay and Chrystopher L. Nehaniv, Kheng Lee Koay and Hiroshi Ishiguro, Kheng Lee Koay and Takayuki Kanda, Kheng Lee Koay and Alexandra Kirsch, Kheng Lee Koay and Elizabeth A. Croft, Kheng Lee Koay and Masayuki Inaba, Kheng Lee Koay and Cory D. Kidd, Kheng Lee Koay and Sarah Woods, Kheng Lee Koay and Katz Dror, Ruth Aylett and Chrystopher L. Nehaniv, Ruth Aylett and Sarah Woods, Masayuki Inaba and Norihiro Hagita, Masayuki Inaba and Hiroshi Ishiguro, Masayuki Inaba and Takayuki Kanda, Masayuki Inaba and Elizabeth A. Croft, Masayuki Inaba and Sarah Woods, Alexandra Kirsch and Chrystopher L. Nehaniv, Alexandra Kirsch and Hiroshi Ishiguro, Alexandra Kirsch and Takayuki Kanda, Alexandra Kirsch and Sarah Woods, Elizabeth A. Croft and Takayuki Kanda, Elizabeth A. Croft and Norihiro Hagita, Elizabeth A. Croft and Hiroshi Ishiguro, Elizabeth A. Croft and Cory D. Kidd, Chrystopher L. Nehaniv and Norihiro Hagita, Chrystopher L. Nehaniv and Hiroshi Ishiguro, Chrystopher L. Nehaniv and Takayuki Kanda, Chrystopher L. Nehaniv and Sarah Woods, Sarah Woods and Norihiro Hagita, Sarah Woods and Hiroshi Ishiguro, Sarah Woods and Takayuki Kanda, Sarah Woods and Cory D. Kidd, Hiroshi Ishiguro and Norihiro Hagita, Hiroshi Ishiguro and Takayuki Kanda, Hiroshi Ishiguro and Cory D. Kidd, Cory D. Kidd and Norihiro Hagita, Cory D. Kidd and Takayuki Kanda, Norihiro Hagita and Takayuki Kanda.\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\nProblem to Solve\n\n- Authors in the network: Sam Griffiths-Jones, Lei Hua, Vandanaben Patel, Xiaohui Wu, Matthias Höchsmann, Wynne Hsu, Kaizhong Zhang, Bin Tian, Sean R. Eddy, Jason Tsong-li Wang, Narayanaswamy Srinivasan, Nikolaos Papanikolopoulos, Bernhard O. Palsson, Robert Giegerich\n- Research collaborations between these authors: Sam Griffiths-Jones and Jason Tsong-li Wang, Sam Griffiths-Jones and Robert Giegerich, Sam Griffiths-Jones and Sean R. Eddy, Lei Hua and Robert Giegerich, Lei Hua and Kaizhong Zhang, Lei Hua and Sean R. Eddy, Vandanaben Patel and Jason Tsong-li Wang, Vandanaben Patel and Sean R. Eddy, Vandanaben Patel and Bin Tian, Xiaohui Wu and Bin Tian, Matthias Höchsmann and Jason Tsong-li Wang, Matthias Höchsmann and Robert Giegerich, Matthias Höchsmann and Kaizhong Zhang, Wynne Hsu and Jason Tsong-li Wang, Kaizhong Zhang and Jason Tsong-li Wang, Kaizhong Zhang and Robert Giegerich, Kaizhong Zhang and Sean R. Eddy, Bin Tian and Jason Tsong-li Wang, Bin Tian and Nikolaos Papanikolopoulos, Sean R. Eddy and Jason Tsong-li Wang, Sean R. Eddy and Narayanaswamy Srinivasan, Sean R. Eddy and Robert Giegerich, Jason Tsong-li Wang and Robert Giegerich.\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\": \"Sam Griffiths-Jones\", \"id\": 547424}, {\"name\": \"Lei Hua\", \"id\": 47107}, {\"name\": \"Vandanaben Patel\", \"id\": 852808}, {\"name\": \"Xiaohui Wu\", \"id\": 139401}, {\"name\": \"Matthias H\\u00f6chsmann\", \"id\": 423498}, {\"name\": \"Wynne Hsu\", \"id\": 3624}, {\"name\": \"Kaizhong Zhang\", \"id\": 128333}, {\"name\": \"Bin Tian\", \"id\": 340527}, {\"name\": \"Sean R. Eddy\", \"id\": 293553}, {\"name\": \"Jason Tsong-li Wang\", \"id\": 15281}, {\"name\": \"Narayanaswamy Srinivasan\", \"id\": 17787}, {\"name\": \"Nikolaos Papanikolopoulos\", \"id\": 81910}, {\"name\": \"Bernhard O. Palsson\", \"id\": 398458}, {\"name\": \"Robert Giegerich\", \"id\": 126746}], \"links\": [{\"source\": 547424, \"target\": 15281}, {\"source\": 547424, \"target\": 126746}, {\"source\": 547424, \"target\": 293553}, {\"source\": 47107, \"target\": 126746}, {\"source\": 47107, \"target\": 128333}, {\"source\": 47107, \"target\": 293553}, {\"source\": 852808, \"target\": 15281}, {\"source\": 852808, \"target\": 293553}, {\"source\": 852808, \"target\": 340527}, {\"source\": 139401, \"target\": 340527}, {\"source\": 423498, \"target\": 15281}, {\"source\": 423498, \"target\": 126746}, {\"source\": 423498, \"target\": 128333}, {\"source\": 3624, \"target\": 15281}, {\"source\": 128333, \"target\": 15281}, {\"source\": 128333, \"target\": 126746}, {\"source\": 128333, \"target\": 293553}, {\"source\": 340527, \"target\": 15281}, {\"source\": 340527, \"target\": 81910}, {\"source\": 293553, \"target\": 15281}, {\"source\": 293553, \"target\": 17787}, {\"source\": 293553, \"target\": 126746}, {\"source\": 15281, \"target\": 126746}]}", "id": 2635, "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\nProblem to Solve\n\n- Authors in the network: Sam Griffiths-Jones, Lei Hua, Vandanaben Patel, Xiaohui Wu, Matthias Höchsmann, Wynne Hsu, Kaizhong Zhang, Bin Tian, Sean R. Eddy, Jason Tsong-li Wang, Narayanaswamy Srinivasan, Nikolaos Papanikolopoulos, Bernhard O. Palsson, Robert Giegerich\n- Research collaborations between these authors: Sam Griffiths-Jones and Jason Tsong-li Wang, Sam Griffiths-Jones and Robert Giegerich, Sam Griffiths-Jones and Sean R. Eddy, Lei Hua and Robert Giegerich, Lei Hua and Kaizhong Zhang, Lei Hua and Sean R. Eddy, Vandanaben Patel and Jason Tsong-li Wang, Vandanaben Patel and Sean R. Eddy, Vandanaben Patel and Bin Tian, Xiaohui Wu and Bin Tian, Matthias Höchsmann and Jason Tsong-li Wang, Matthias Höchsmann and Robert Giegerich, Matthias Höchsmann and Kaizhong Zhang, Wynne Hsu and Jason Tsong-li Wang, Kaizhong Zhang and Jason Tsong-li Wang, Kaizhong Zhang and Robert Giegerich, Kaizhong Zhang and Sean R. Eddy, Bin Tian and Jason Tsong-li Wang, Bin Tian and Nikolaos Papanikolopoulos, Sean R. Eddy and Jason Tsong-li Wang, Sean R. Eddy and Narayanaswamy Srinivasan, Sean R. Eddy and Robert Giegerich, Jason Tsong-li Wang and Robert Giegerich.\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\nProblem to Solve\n\n- Authors in the network: Alex Pentland, Mateusz Baran, Krzysztof Kluza, Tim Finin, Anind K. Dey, Szymon Bobek, Krzysztof Porzycki, Svetha Venkatesh, Dietmar Jannach, Franz Baader, Harry Chen, Martin Atzmueller, Grzegorz J. Nalepa, Anupam Joshi\n- Research collaborations between these authors: Alex Pentland and Svetha Venkatesh, Alex Pentland and Anind K. Dey, Alex Pentland and Martin Atzmueller, Alex Pentland and Grzegorz J. Nalepa, Alex Pentland and Szymon Bobek, Mateusz Baran and Dietmar Jannach, Mateusz Baran and Grzegorz J. Nalepa, Mateusz Baran and Krzysztof Kluza, Krzysztof Kluza and Dietmar Jannach, Krzysztof Kluza and Grzegorz J. Nalepa, Krzysztof Kluza and Szymon Bobek, Tim Finin and Anupam Joshi, Tim Finin and Harry Chen, Tim Finin and Grzegorz J. Nalepa, Tim Finin and Szymon Bobek, Anind K. Dey and Anupam Joshi, Anind K. Dey and Grzegorz J. Nalepa, Anind K. Dey and Szymon Bobek, Szymon Bobek and Dietmar Jannach, Szymon Bobek and Grzegorz J. Nalepa, Szymon Bobek and Svetha Venkatesh, Szymon Bobek and Anupam Joshi, Szymon Bobek and Martin Atzmueller, Szymon Bobek and Harry Chen, Szymon Bobek and Krzysztof Porzycki, Krzysztof Porzycki and Grzegorz J. Nalepa, Svetha Venkatesh and Grzegorz J. Nalepa, Dietmar Jannach and Grzegorz J. Nalepa, Franz Baader and Grzegorz J. Nalepa, Harry Chen and Anupam Joshi, Harry Chen and Grzegorz J. Nalepa, Martin Atzmueller and Grzegorz J. Nalepa, Grzegorz J. Nalepa and Anupam Joshi.\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\": \"Alex Pentland\", \"id\": 58980}, {\"name\": \"Mateusz Baran\", \"id\": 120169}, {\"name\": \"Krzysztof Kluza\", \"id\": 40271}, {\"name\": \"Tim Finin\", \"id\": 18321}, {\"name\": \"Anind K. Dey\", \"id\": 19731}, {\"name\": \"Szymon Bobek\", \"id\": 74388}, {\"name\": \"Krzysztof Porzycki\", \"id\": 399541}, {\"name\": \"Svetha Venkatesh\", \"id\": 6292}, {\"name\": \"Dietmar Jannach\", \"id\": 21268}, {\"name\": \"Franz Baader\", \"id\": 1011}, {\"name\": \"Harry Chen\", \"id\": 46041}, {\"name\": \"Martin Atzmueller\", \"id\": 34077}, {\"name\": \"Grzegorz J. Nalepa\", \"id\": 34078}, {\"name\": \"Anupam Joshi\", \"id\": 33663}], \"links\": [{\"source\": 58980, \"target\": 6292}, {\"source\": 58980, \"target\": 19731}, {\"source\": 58980, \"target\": 34077}, {\"source\": 58980, \"target\": 34078}, {\"source\": 58980, \"target\": 74388}, {\"source\": 120169, \"target\": 21268}, {\"source\": 120169, \"target\": 34078}, {\"source\": 120169, \"target\": 40271}, {\"source\": 40271, \"target\": 21268}, {\"source\": 40271, \"target\": 34078}, {\"source\": 40271, \"target\": 74388}, {\"source\": 18321, \"target\": 33663}, {\"source\": 18321, \"target\": 46041}, {\"source\": 18321, \"target\": 34078}, {\"source\": 18321, \"target\": 74388}, {\"source\": 19731, \"target\": 33663}, {\"source\": 19731, \"target\": 34078}, {\"source\": 19731, \"target\": 74388}, {\"source\": 74388, \"target\": 21268}, {\"source\": 74388, \"target\": 34078}, {\"source\": 74388, \"target\": 6292}, {\"source\": 74388, \"target\": 33663}, {\"source\": 74388, \"target\": 34077}, {\"source\": 74388, \"target\": 46041}, {\"source\": 74388, \"target\": 399541}, {\"source\": 399541, \"target\": 34078}, {\"source\": 6292, \"target\": 34078}, {\"source\": 21268, \"target\": 34078}, {\"source\": 1011, \"target\": 34078}, {\"source\": 46041, \"target\": 33663}, {\"source\": 46041, \"target\": 34078}, {\"source\": 34077, \"target\": 34078}, {\"source\": 34078, \"target\": 33663}]}", "id": 1405, "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\nProblem to Solve\n\n- Authors in the network: Alex Pentland, Mateusz Baran, Krzysztof Kluza, Tim Finin, Anind K. Dey, Szymon Bobek, Krzysztof Porzycki, Svetha Venkatesh, Dietmar Jannach, Franz Baader, Harry Chen, Martin Atzmueller, Grzegorz J. Nalepa, Anupam Joshi\n- Research collaborations between these authors: Alex Pentland and Svetha Venkatesh, Alex Pentland and Anind K. Dey, Alex Pentland and Martin Atzmueller, Alex Pentland and Grzegorz J. Nalepa, Alex Pentland and Szymon Bobek, Mateusz Baran and Dietmar Jannach, Mateusz Baran and Grzegorz J. Nalepa, Mateusz Baran and Krzysztof Kluza, Krzysztof Kluza and Dietmar Jannach, Krzysztof Kluza and Grzegorz J. Nalepa, Krzysztof Kluza and Szymon Bobek, Tim Finin and Anupam Joshi, Tim Finin and Harry Chen, Tim Finin and Grzegorz J. Nalepa, Tim Finin and Szymon Bobek, Anind K. Dey and Anupam Joshi, Anind K. Dey and Grzegorz J. Nalepa, Anind K. Dey and Szymon Bobek, Szymon Bobek and Dietmar Jannach, Szymon Bobek and Grzegorz J. Nalepa, Szymon Bobek and Svetha Venkatesh, Szymon Bobek and Anupam Joshi, Szymon Bobek and Martin Atzmueller, Szymon Bobek and Harry Chen, Szymon Bobek and Krzysztof Porzycki, Krzysztof Porzycki and Grzegorz J. Nalepa, Svetha Venkatesh and Grzegorz J. Nalepa, Dietmar Jannach and Grzegorz J. Nalepa, Franz Baader and Grzegorz J. Nalepa, Harry Chen and Anupam Joshi, Harry Chen and Grzegorz J. Nalepa, Martin Atzmueller and Grzegorz J. Nalepa, Grzegorz J. Nalepa and Anupam Joshi.\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\nProblem to Solve\n\n- Authors in the network: Beibei Wang, Eitan Altman, Quanyan Zhu, Klaus I. Pedersen, Melike Baykal-Gursoy, Chun-Ta Kung, Tansu Alpcan, Wenyuan Xu, David R. Karger, Wade Trappe, H. Vincent Poor, Zhu Han, Xi Fang, Andrey Garnaev\n- Research collaborations between these authors: Beibei Wang and Wade Trappe, Beibei Wang and Zhu Han, Beibei Wang and Andrey Garnaev, Beibei Wang and H. Vincent Poor, Beibei Wang and Xi Fang, Eitan Altman and Quanyan Zhu, Eitan Altman and Zhu Han, Eitan Altman and Tansu Alpcan, Eitan Altman and Andrey Garnaev, Eitan Altman and Klaus I. Pedersen, Eitan Altman and Wade Trappe, Eitan Altman and H. Vincent Poor, Eitan Altman and Melike Baykal-Gursoy, Eitan Altman and Xi Fang, Quanyan Zhu and Wenyuan Xu, Quanyan Zhu and Wade Trappe, Quanyan Zhu and Zhu Han, Quanyan Zhu and Tansu Alpcan, Quanyan Zhu and H. Vincent Poor, Quanyan Zhu and Andrey Garnaev, Quanyan Zhu and Melike Baykal-Gursoy, Klaus I. Pedersen and Zhu Han, Melike Baykal-Gursoy and Wade Trappe, Melike Baykal-Gursoy and Andrey Garnaev, Melike Baykal-Gursoy and H. Vincent Poor, Melike Baykal-Gursoy and Tansu Alpcan, Melike Baykal-Gursoy and Chun-Ta Kung, Chun-Ta Kung and Wade Trappe, Chun-Ta Kung and Andrey Garnaev, Chun-Ta Kung and H. Vincent Poor, Tansu Alpcan and Wade Trappe, Tansu Alpcan and Zhu Han, Tansu Alpcan and H. Vincent Poor, Tansu Alpcan and Andrey Garnaev, Wenyuan Xu and Wade Trappe, Wenyuan Xu and Andrey Garnaev, Wenyuan Xu and H. Vincent Poor, Wade Trappe and Zhu Han, Wade Trappe and Andrey Garnaev, Wade Trappe and H. Vincent Poor, H. Vincent Poor and Zhu Han, H. Vincent Poor and Andrey Garnaev, H. Vincent Poor and Xi Fang, Zhu Han and Xi Fang, Zhu Han and Andrey Garnaev, Xi Fang and Andrey Garnaev.\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\": \"Beibei Wang\", \"id\": 198947}, {\"name\": \"Eitan Altman\", \"id\": 17701}, {\"name\": \"Quanyan Zhu\", \"id\": 5191}, {\"name\": \"Klaus I. Pedersen\", \"id\": 261609}, {\"name\": \"Melike Baykal-Gursoy\", \"id\": 198319}, {\"name\": \"Chun-Ta Kung\", \"id\": 513743}, {\"name\": \"Tansu Alpcan\", \"id\": 63855}, {\"name\": \"Wenyuan Xu\", \"id\": 34770}, {\"name\": \"David R. Karger\", \"id\": 56271}, {\"name\": \"Wade Trappe\", \"id\": 34772}, {\"name\": \"H. Vincent Poor\", \"id\": 89462}, {\"name\": \"Zhu Han\", \"id\": 51707}, {\"name\": \"Xi Fang\", \"id\": 400316}, {\"name\": \"Andrey Garnaev\", \"id\": 65726}], \"links\": [{\"source\": 198947, \"target\": 34772}, {\"source\": 198947, \"target\": 51707}, {\"source\": 198947, \"target\": 65726}, {\"source\": 198947, \"target\": 89462}, {\"source\": 198947, \"target\": 400316}, {\"source\": 17701, \"target\": 5191}, {\"source\": 17701, \"target\": 51707}, {\"source\": 17701, \"target\": 63855}, {\"source\": 17701, \"target\": 65726}, {\"source\": 17701, \"target\": 261609}, {\"source\": 17701, \"target\": 34772}, {\"source\": 17701, \"target\": 89462}, {\"source\": 17701, \"target\": 198319}, {\"source\": 17701, \"target\": 400316}, {\"source\": 5191, \"target\": 34770}, {\"source\": 5191, \"target\": 34772}, {\"source\": 5191, \"target\": 51707}, {\"source\": 5191, \"target\": 63855}, {\"source\": 5191, \"target\": 89462}, {\"source\": 5191, \"target\": 65726}, {\"source\": 5191, \"target\": 198319}, {\"source\": 261609, \"target\": 51707}, {\"source\": 198319, \"target\": 34772}, {\"source\": 198319, \"target\": 65726}, {\"source\": 198319, \"target\": 89462}, {\"source\": 198319, \"target\": 63855}, {\"source\": 198319, \"target\": 513743}, {\"source\": 513743, \"target\": 34772}, {\"source\": 513743, \"target\": 65726}, {\"source\": 513743, \"target\": 89462}, {\"source\": 63855, \"target\": 34772}, {\"source\": 63855, \"target\": 51707}, {\"source\": 63855, \"target\": 89462}, {\"source\": 63855, \"target\": 65726}, {\"source\": 34770, \"target\": 34772}, {\"source\": 34770, \"target\": 65726}, {\"source\": 34770, \"target\": 89462}, {\"source\": 34772, \"target\": 51707}, {\"source\": 34772, \"target\": 65726}, {\"source\": 34772, \"target\": 89462}, {\"source\": 89462, \"target\": 51707}, {\"source\": 89462, \"target\": 65726}, {\"source\": 89462, \"target\": 400316}, {\"source\": 51707, \"target\": 400316}, {\"source\": 51707, \"target\": 65726}, {\"source\": 400316, \"target\": 65726}]}", "id": 1724, "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\nProblem to Solve\n\n- Authors in the network: Beibei Wang, Eitan Altman, Quanyan Zhu, Klaus I. Pedersen, Melike Baykal-Gursoy, Chun-Ta Kung, Tansu Alpcan, Wenyuan Xu, David R. Karger, Wade Trappe, H. Vincent Poor, Zhu Han, Xi Fang, Andrey Garnaev\n- Research collaborations between these authors: Beibei Wang and Wade Trappe, Beibei Wang and Zhu Han, Beibei Wang and Andrey Garnaev, Beibei Wang and H. Vincent Poor, Beibei Wang and Xi Fang, Eitan Altman and Quanyan Zhu, Eitan Altman and Zhu Han, Eitan Altman and Tansu Alpcan, Eitan Altman and Andrey Garnaev, Eitan Altman and Klaus I. Pedersen, Eitan Altman and Wade Trappe, Eitan Altman and H. Vincent Poor, Eitan Altman and Melike Baykal-Gursoy, Eitan Altman and Xi Fang, Quanyan Zhu and Wenyuan Xu, Quanyan Zhu and Wade Trappe, Quanyan Zhu and Zhu Han, Quanyan Zhu and Tansu Alpcan, Quanyan Zhu and H. Vincent Poor, Quanyan Zhu and Andrey Garnaev, Quanyan Zhu and Melike Baykal-Gursoy, Klaus I. Pedersen and Zhu Han, Melike Baykal-Gursoy and Wade Trappe, Melike Baykal-Gursoy and Andrey Garnaev, Melike Baykal-Gursoy and H. Vincent Poor, Melike Baykal-Gursoy and Tansu Alpcan, Melike Baykal-Gursoy and Chun-Ta Kung, Chun-Ta Kung and Wade Trappe, Chun-Ta Kung and Andrey Garnaev, Chun-Ta Kung and H. Vincent Poor, Tansu Alpcan and Wade Trappe, Tansu Alpcan and Zhu Han, Tansu Alpcan and H. Vincent Poor, Tansu Alpcan and Andrey Garnaev, Wenyuan Xu and Wade Trappe, Wenyuan Xu and Andrey Garnaev, Wenyuan Xu and H. Vincent Poor, Wade Trappe and Zhu Han, Wade Trappe and Andrey Garnaev, Wade Trappe and H. Vincent Poor, H. Vincent Poor and Zhu Han, H. Vincent Poor and Andrey Garnaev, H. Vincent Poor and Xi Fang, Zhu Han and Xi Fang, Zhu Han and Andrey Garnaev, Xi Fang and Andrey Garnaev.\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\nProblem to Solve\n\n- Authors in the network: Yingchun Yang, Vinod Kulathumani, Alec Woo, Jitendra Padhye, Glenn Judd, Vinayak Naik, Lifeng Sang, Terence Tong, Tian He, Prabal Dutta, Philip Levis, Robert Morris, David E. Culler, Daniel Aguayo\n- Research collaborations between these authors: Yingchun Yang and Lifeng Sang, Vinod Kulathumani and David E. Culler, Vinod Kulathumani and Prabal Dutta, Vinod Kulathumani and Alec Woo, Vinod Kulathumani and Tian He, Vinod Kulathumani and Vinayak Naik, Vinod Kulathumani and Lifeng Sang, Alec Woo and David E. Culler, Alec Woo and Prabal Dutta, Alec Woo and Philip Levis, Alec Woo and Lifeng Sang, Alec Woo and Tian He, Jitendra Padhye and Philip Levis, Jitendra Padhye and Robert Morris, Jitendra Padhye and Glenn Judd, Jitendra Padhye and Daniel Aguayo, Jitendra Padhye and Lifeng Sang, Jitendra Padhye and Tian He, Glenn Judd and Philip Levis, Glenn Judd and Robert Morris, Glenn Judd and Lifeng Sang, Glenn Judd and Daniel Aguayo, Vinayak Naik and David E. Culler, Vinayak Naik and Prabal Dutta, Vinayak Naik and Philip Levis, Vinayak Naik and Lifeng Sang, Vinayak Naik and Tian He, Lifeng Sang and David E. Culler, Lifeng Sang and Prabal Dutta, Lifeng Sang and Philip Levis, Lifeng Sang and Robert Morris, Lifeng Sang and Tian He, Lifeng Sang and Daniel Aguayo, Lifeng Sang and Terence Tong, Terence Tong and David E. Culler, Terence Tong and Prabal Dutta, Terence Tong and Philip Levis, Terence Tong and Tian He, Tian He and David E. Culler, Tian He and Prabal Dutta, Tian He and Philip Levis, Tian He and Robert Morris, Tian He and Daniel Aguayo, Prabal Dutta and David E. Culler, Prabal Dutta and Philip Levis, Prabal Dutta and Robert Morris, Prabal Dutta and Daniel Aguayo, Philip Levis and David E. Culler, Philip Levis and Robert Morris, Philip Levis and Daniel Aguayo, Robert Morris and David E. Culler, Robert Morris and Daniel Aguayo, David E. Culler and Daniel Aguayo.\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\": \"Yingchun Yang\", \"id\": 8832}, {\"name\": \"Vinod Kulathumani\", \"id\": 132321}, {\"name\": \"Jitendra Padhye\", \"id\": 27270}, {\"name\": \"Glenn Judd\", \"id\": 405993}, {\"name\": \"Robert Morris\", \"id\": 70391}, {\"name\": \"Lifeng Sang\", \"id\": 280876}, {\"name\": \"Terence Tong\", \"id\": 1163085}, {\"name\": \"Tian He\", \"id\": 299596}, {\"name\": \"Prabal Dutta\", \"id\": 19441}, {\"name\": \"Philip Levis\", \"id\": 19442}, {\"name\": \"Alec Woo\", \"id\": 33303}, {\"name\": \"Vinayak Naik\", \"id\": 644632}, {\"name\": \"David E. Culler\", \"id\": 9272}, {\"name\": \"Daniel Aguayo\", \"id\": 805595}], \"links\": [{\"source\": 8832, \"target\": 280876}, {\"source\": 132321, \"target\": 9272}, {\"source\": 132321, \"target\": 19441}, {\"source\": 132321, \"target\": 33303}, {\"source\": 132321, \"target\": 299596}, {\"source\": 132321, \"target\": 644632}, {\"source\": 132321, \"target\": 280876}, {\"source\": 27270, \"target\": 19442}, {\"source\": 27270, \"target\": 70391}, {\"source\": 27270, \"target\": 405993}, {\"source\": 27270, \"target\": 805595}, {\"source\": 27270, \"target\": 280876}, {\"source\": 27270, \"target\": 299596}, {\"source\": 405993, \"target\": 19442}, {\"source\": 405993, \"target\": 70391}, {\"source\": 405993, \"target\": 280876}, {\"source\": 405993, \"target\": 805595}, {\"source\": 70391, \"target\": 9272}, {\"source\": 70391, \"target\": 19441}, {\"source\": 70391, \"target\": 19442}, {\"source\": 70391, \"target\": 805595}, {\"source\": 70391, \"target\": 280876}, {\"source\": 70391, \"target\": 299596}, {\"source\": 280876, \"target\": 9272}, {\"source\": 280876, \"target\": 19441}, {\"source\": 280876, \"target\": 19442}, {\"source\": 280876, \"target\": 33303}, {\"source\": 280876, \"target\": 299596}, {\"source\": 280876, \"target\": 644632}, {\"source\": 280876, \"target\": 805595}, {\"source\": 280876, \"target\": 1163085}, {\"source\": 1163085, \"target\": 9272}, {\"source\": 1163085, \"target\": 19441}, {\"source\": 1163085, \"target\": 19442}, {\"source\": 1163085, \"target\": 299596}, {\"source\": 299596, \"target\": 9272}, {\"source\": 299596, \"target\": 19441}, {\"source\": 299596, \"target\": 19442}, {\"source\": 299596, \"target\": 33303}, {\"source\": 299596, \"target\": 644632}, {\"source\": 299596, \"target\": 805595}, {\"source\": 19441, \"target\": 9272}, {\"source\": 19441, \"target\": 19442}, {\"source\": 19441, \"target\": 33303}, {\"source\": 19441, \"target\": 644632}, {\"source\": 19441, \"target\": 805595}, {\"source\": 19442, \"target\": 9272}, {\"source\": 19442, \"target\": 33303}, {\"source\": 19442, \"target\": 644632}, {\"source\": 19442, \"target\": 805595}, {\"source\": 33303, \"target\": 9272}, {\"source\": 644632, \"target\": 9272}, {\"source\": 9272, \"target\": 805595}]}", "id": 1004, "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\nProblem to Solve\n\n- Authors in the network: Yingchun Yang, Vinod Kulathumani, Alec Woo, Jitendra Padhye, Glenn Judd, Vinayak Naik, Lifeng Sang, Terence Tong, Tian He, Prabal Dutta, Philip Levis, Robert Morris, David E. Culler, Daniel Aguayo\n- Research collaborations between these authors: Yingchun Yang and Lifeng Sang, Vinod Kulathumani and David E. Culler, Vinod Kulathumani and Prabal Dutta, Vinod Kulathumani and Alec Woo, Vinod Kulathumani and Tian He, Vinod Kulathumani and Vinayak Naik, Vinod Kulathumani and Lifeng Sang, Alec Woo and David E. Culler, Alec Woo and Prabal Dutta, Alec Woo and Philip Levis, Alec Woo and Lifeng Sang, Alec Woo and Tian He, Jitendra Padhye and Philip Levis, Jitendra Padhye and Robert Morris, Jitendra Padhye and Glenn Judd, Jitendra Padhye and Daniel Aguayo, Jitendra Padhye and Lifeng Sang, Jitendra Padhye and Tian He, Glenn Judd and Philip Levis, Glenn Judd and Robert Morris, Glenn Judd and Lifeng Sang, Glenn Judd and Daniel Aguayo, Vinayak Naik and David E. Culler, Vinayak Naik and Prabal Dutta, Vinayak Naik and Philip Levis, Vinayak Naik and Lifeng Sang, Vinayak Naik and Tian He, Lifeng Sang and David E. Culler, Lifeng Sang and Prabal Dutta, Lifeng Sang and Philip Levis, Lifeng Sang and Robert Morris, Lifeng Sang and Tian He, Lifeng Sang and Daniel Aguayo, Lifeng Sang and Terence Tong, Terence Tong and David E. Culler, Terence Tong and Prabal Dutta, Terence Tong and Philip Levis, Terence Tong and Tian He, Tian He and David E. Culler, Tian He and Prabal Dutta, Tian He and Philip Levis, Tian He and Robert Morris, Tian He and Daniel Aguayo, Prabal Dutta and David E. Culler, Prabal Dutta and Philip Levis, Prabal Dutta and Robert Morris, Prabal Dutta and Daniel Aguayo, Philip Levis and David E. Culler, Philip Levis and Robert Morris, Philip Levis and Daniel Aguayo, Robert Morris and David E. Culler, Robert Morris and Daniel Aguayo, David E. Culler and Daniel Aguayo.\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\nProblem to Solve\n\n- Authors in the network: Staffan Ekvall, Robert O. Ambrose, Christian Goerick, Brian Neil Levine, Roderic A. Grupen, Charles C. Kemp, Jeannette Bohg, Jochen J. Steil, Robert Platt, A.P. del Pobil, Angel P. del Pobil, Stephan Kirstein, Andrew H. Fagg, Eris Chinellato\n- Research collaborations between these authors: Staffan Ekvall and Jeannette Bohg, Staffan Ekvall and Andrew H. Fagg, Robert O. Ambrose and Roderic A. Grupen, Robert O. Ambrose and Robert Platt, Robert O. Ambrose and Andrew H. Fagg, Christian Goerick and Jochen J. Steil, Christian Goerick and Roderic A. Grupen, Christian Goerick and Stephan Kirstein, Christian Goerick and Andrew H. Fagg, Brian Neil Levine and Andrew H. Fagg, Roderic A. Grupen and Jochen J. Steil, Roderic A. Grupen and Charles C. Kemp, Roderic A. Grupen and Robert Platt, Roderic A. Grupen and Andrew H. Fagg, Roderic A. Grupen and Angel P. del Pobil, Roderic A. Grupen and Stephan Kirstein, Charles C. Kemp and Robert Platt, Charles C. Kemp and Andrew H. Fagg, Jeannette Bohg and Robert Platt, Jeannette Bohg and Eris Chinellato, Jeannette Bohg and Angel P. del Pobil, Jeannette Bohg and Andrew H. Fagg, Jochen J. Steil and Stephan Kirstein, Jochen J. Steil and Andrew H. Fagg, Robert Platt and Andrew H. Fagg, Robert Platt and Angel P. del Pobil, A.P. del Pobil and Eris Chinellato, A.P. del Pobil and Angel P. del Pobil, A.P. del Pobil and Andrew H. Fagg, Angel P. del Pobil and Eris Chinellato, Angel P. del Pobil and Andrew H. Fagg, Stephan Kirstein and Andrew H. Fagg, Andrew H. Fagg and Eris Chinellato.\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\": \"Eris Chinellato\", \"id\": 40095}, {\"name\": \"Staffan Ekvall\", \"id\": 610565}, {\"name\": \"Robert O. Ambrose\", \"id\": 420774}, {\"name\": \"Christian Goerick\", \"id\": 103}, {\"name\": \"Brian Neil Levine\", \"id\": 158481}, {\"name\": \"Roderic A. Grupen\", \"id\": 65714}, {\"name\": \"Charles C. Kemp\", \"id\": 45937}, {\"name\": \"Robert Platt\", \"id\": 84499}, {\"name\": \"Jochen J. Steil\", \"id\": 43317}, {\"name\": \"A.P. del Pobil\", \"id\": 287576}, {\"name\": \"Angel P. del Pobil\", \"id\": 89563}, {\"name\": \"Stephan Kirstein\", \"id\": 221308}, {\"name\": \"Andrew H. Fagg\", \"id\": 321213}, {\"name\": \"Jeannette Bohg\", \"id\": 263967}], \"links\": [{\"source\": 40095, \"target\": 89563}, {\"source\": 40095, \"target\": 287576}, {\"source\": 40095, \"target\": 321213}, {\"source\": 40095, \"target\": 263967}, {\"source\": 610565, \"target\": 263967}, {\"source\": 610565, \"target\": 321213}, {\"source\": 420774, \"target\": 65714}, {\"source\": 420774, \"target\": 84499}, {\"source\": 420774, \"target\": 321213}, {\"source\": 103, \"target\": 43317}, {\"source\": 103, \"target\": 65714}, {\"source\": 103, \"target\": 221308}, {\"source\": 103, \"target\": 321213}, {\"source\": 158481, \"target\": 321213}, {\"source\": 65714, \"target\": 43317}, {\"source\": 65714, \"target\": 45937}, {\"source\": 65714, \"target\": 84499}, {\"source\": 65714, \"target\": 321213}, {\"source\": 65714, \"target\": 89563}, {\"source\": 65714, \"target\": 221308}, {\"source\": 45937, \"target\": 84499}, {\"source\": 45937, \"target\": 321213}, {\"source\": 84499, \"target\": 263967}, {\"source\": 84499, \"target\": 321213}, {\"source\": 84499, \"target\": 89563}, {\"source\": 43317, \"target\": 221308}, {\"source\": 43317, \"target\": 321213}, {\"source\": 287576, \"target\": 89563}, {\"source\": 287576, \"target\": 321213}, {\"source\": 89563, \"target\": 321213}, {\"source\": 89563, \"target\": 263967}, {\"source\": 221308, \"target\": 321213}, {\"source\": 321213, \"target\": 263967}]}", "id": 1458, "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\nProblem to Solve\n\n- Authors in the network: Staffan Ekvall, Robert O. Ambrose, Christian Goerick, Brian Neil Levine, Roderic A. Grupen, Charles C. Kemp, Jeannette Bohg, Jochen J. Steil, Robert Platt, A.P. del Pobil, Angel P. del Pobil, Stephan Kirstein, Andrew H. Fagg, Eris Chinellato\n- Research collaborations between these authors: Staffan Ekvall and Jeannette Bohg, Staffan Ekvall and Andrew H. Fagg, Robert O. Ambrose and Roderic A. Grupen, Robert O. Ambrose and Robert Platt, Robert O. Ambrose and Andrew H. Fagg, Christian Goerick and Jochen J. Steil, Christian Goerick and Roderic A. Grupen, Christian Goerick and Stephan Kirstein, Christian Goerick and Andrew H. Fagg, Brian Neil Levine and Andrew H. Fagg, Roderic A. Grupen and Jochen J. Steil, Roderic A. Grupen and Charles C. Kemp, Roderic A. Grupen and Robert Platt, Roderic A. Grupen and Andrew H. Fagg, Roderic A. Grupen and Angel P. del Pobil, Roderic A. Grupen and Stephan Kirstein, Charles C. Kemp and Robert Platt, Charles C. Kemp and Andrew H. Fagg, Jeannette Bohg and Robert Platt, Jeannette Bohg and Eris Chinellato, Jeannette Bohg and Angel P. del Pobil, Jeannette Bohg and Andrew H. Fagg, Jochen J. Steil and Stephan Kirstein, Jochen J. Steil and Andrew H. Fagg, Robert Platt and Andrew H. Fagg, Robert Platt and Angel P. del Pobil, A.P. del Pobil and Eris Chinellato, A.P. del Pobil and Angel P. del Pobil, A.P. del Pobil and Andrew H. Fagg, Angel P. del Pobil and Eris Chinellato, Angel P. del Pobil and Andrew H. Fagg, Stephan Kirstein and Andrew H. Fagg, Andrew H. Fagg and Eris Chinellato.\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\nProblem to Solve\n\n- Authors in the network: Daisuke Takafuji, Albert Y. Zomaya, Takumi Honda, Hiroaki Kouge, Shunji Funasaka, Bo Song, Kenji Uda, P. J. Narayanan, Chai Wah Wu, Kohan Sai, Christof Paar, Koji Nakano, Yasuaki Ito, Stephan Olariu\n- Research collaborations between these authors: Daisuke Takafuji and Koji Nakano, Daisuke Takafuji and Yasuaki Ito, Daisuke Takafuji and Kenji Uda, Daisuke Takafuji and Takumi Honda, Albert Y. Zomaya and Stephan Olariu, Albert Y. Zomaya and Koji Nakano, Albert Y. Zomaya and Yasuaki Ito, Takumi Honda and Koji Nakano, Takumi Honda and Yasuaki Ito, Takumi Honda and Kenji Uda, Hiroaki Kouge and Koji Nakano, Hiroaki Kouge and Yasuaki Ito, Shunji Funasaka and Koji Nakano, Shunji Funasaka and Yasuaki Ito, Shunji Funasaka and Kenji Uda, Bo Song and Koji Nakano, Bo Song and Yasuaki Ito, Kenji Uda and Koji Nakano, Kenji Uda and Yasuaki Ito, P. J. Narayanan and Koji Nakano, P. J. Narayanan and Yasuaki Ito, Chai Wah Wu and Koji Nakano, Chai Wah Wu and Yasuaki Ito, Kohan Sai and Koji Nakano, Kohan Sai and Yasuaki Ito, Christof Paar and Koji Nakano, Christof Paar and Yasuaki Ito, Koji Nakano and Stephan Olariu, Koji Nakano and Yasuaki Ito, Yasuaki Ito and Stephan Olariu.\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\": \"Daisuke Takafuji\", \"id\": 367684}, {\"name\": \"Albert Y. Zomaya\", \"id\": 70856}, {\"name\": \"Takumi Honda\", \"id\": 374091}, {\"name\": \"Hiroaki Kouge\", \"id\": 252396}, {\"name\": \"Shunji Funasaka\", \"id\": 1213005}, {\"name\": \"Bo Song\", \"id\": 83954}, {\"name\": \"Kenji Uda\", \"id\": 589843}, {\"name\": \"P. J. Narayanan\", \"id\": 22227}, {\"name\": \"Chai Wah Wu\", \"id\": 158773}, {\"name\": \"Kohan Sai\", \"id\": 1299735}, {\"name\": \"Christof Paar\", \"id\": 9146}, {\"name\": \"Koji Nakano\", \"id\": 56861}, {\"name\": \"Yasuaki Ito\", \"id\": 56862}, {\"name\": \"Stephan Olariu\", \"id\": 8159}], \"links\": [{\"source\": 367684, \"target\": 56861}, {\"source\": 367684, \"target\": 56862}, {\"source\": 367684, \"target\": 589843}, {\"source\": 367684, \"target\": 374091}, {\"source\": 70856, \"target\": 8159}, {\"source\": 70856, \"target\": 56861}, {\"source\": 70856, \"target\": 56862}, {\"source\": 374091, \"target\": 56861}, {\"source\": 374091, \"target\": 56862}, {\"source\": 374091, \"target\": 589843}, {\"source\": 252396, \"target\": 56861}, {\"source\": 252396, \"target\": 56862}, {\"source\": 1213005, \"target\": 56861}, {\"source\": 1213005, \"target\": 56862}, {\"source\": 1213005, \"target\": 589843}, {\"source\": 83954, \"target\": 56861}, {\"source\": 83954, \"target\": 56862}, {\"source\": 589843, \"target\": 56861}, {\"source\": 589843, \"target\": 56862}, {\"source\": 22227, \"target\": 56861}, {\"source\": 22227, \"target\": 56862}, {\"source\": 158773, \"target\": 56861}, {\"source\": 158773, \"target\": 56862}, {\"source\": 1299735, \"target\": 56861}, {\"source\": 1299735, \"target\": 56862}, {\"source\": 9146, \"target\": 56861}, {\"source\": 9146, \"target\": 56862}, {\"source\": 56861, \"target\": 8159}, {\"source\": 56861, \"target\": 56862}, {\"source\": 56862, \"target\": 8159}]}", "id": 2057, "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\nProblem to Solve\n\n- Authors in the network: Daisuke Takafuji, Albert Y. Zomaya, Takumi Honda, Hiroaki Kouge, Shunji Funasaka, Bo Song, Kenji Uda, P. J. Narayanan, Chai Wah Wu, Kohan Sai, Christof Paar, Koji Nakano, Yasuaki Ito, Stephan Olariu\n- Research collaborations between these authors: Daisuke Takafuji and Koji Nakano, Daisuke Takafuji and Yasuaki Ito, Daisuke Takafuji and Kenji Uda, Daisuke Takafuji and Takumi Honda, Albert Y. Zomaya and Stephan Olariu, Albert Y. Zomaya and Koji Nakano, Albert Y. Zomaya and Yasuaki Ito, Takumi Honda and Koji Nakano, Takumi Honda and Yasuaki Ito, Takumi Honda and Kenji Uda, Hiroaki Kouge and Koji Nakano, Hiroaki Kouge and Yasuaki Ito, Shunji Funasaka and Koji Nakano, Shunji Funasaka and Yasuaki Ito, Shunji Funasaka and Kenji Uda, Bo Song and Koji Nakano, Bo Song and Yasuaki Ito, Kenji Uda and Koji Nakano, Kenji Uda and Yasuaki Ito, P. J. Narayanan and Koji Nakano, P. J. Narayanan and Yasuaki Ito, Chai Wah Wu and Koji Nakano, Chai Wah Wu and Yasuaki Ito, Kohan Sai and Koji Nakano, Kohan Sai and Yasuaki Ito, Christof Paar and Koji Nakano, Christof Paar and Yasuaki Ito, Koji Nakano and Stephan Olariu, Koji Nakano and Yasuaki Ito, Yasuaki Ito and Stephan Olariu.\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\nProblem 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": 2530, "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\nProblem 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\nProblem to Solve\n\n- Authors in the network: Yuk Wah Wong, David L. Chen, Michael J. Collins, Philip S. Yu, Pasquale Lops, Ioannis Konstas, Francesco Ricci, Martha Larson, Xavier Serra, David Chiang, Yasuhiro Fujiwara, Mao Ye, Mohammad Soleymani, Steve J. Young\n- Research collaborations between these authors: Yuk Wah Wong and Ioannis Konstas, Yuk Wah Wong and David L. Chen, David L. Chen and Ioannis Konstas, David L. Chen and Michael J. Collins, Michael J. Collins and Steve J. Young, Michael J. Collins and David Chiang, Michael J. Collins and Ioannis Konstas, Philip S. Yu and Mao Ye, Philip S. Yu and Ioannis Konstas, Philip S. Yu and Yasuhiro Fujiwara, Pasquale Lops and Francesco Ricci, Pasquale Lops and Ioannis Konstas, Ioannis Konstas and Martha Larson, Ioannis Konstas and Xavier Serra, Ioannis Konstas and Mohammad Soleymani, Ioannis Konstas and Francesco Ricci, Ioannis Konstas and Yasuhiro Fujiwara, Ioannis Konstas and Mao Ye, Ioannis Konstas and Steve J. Young, Ioannis Konstas and David Chiang, Francesco Ricci and Martha Larson, Martha Larson and Mohammad Soleymani.\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\": \"Yuk Wah Wong\", \"id\": 737632}, {\"name\": \"David L. Chen\", \"id\": 1032970}, {\"name\": \"Michael J. Collins\", \"id\": 131499}, {\"name\": \"Philip S. Yu\", \"id\": 1454}, {\"name\": \"Pasquale Lops\", \"id\": 28240}, {\"name\": \"Ioannis Konstas\", \"id\": 414225}, {\"name\": \"Francesco Ricci\", \"id\": 33617}, {\"name\": \"Martha Larson\", \"id\": 1938}, {\"name\": \"Xavier Serra\", \"id\": 3667}, {\"name\": \"David Chiang\", \"id\": 201271}, {\"name\": \"Yasuhiro Fujiwara\", \"id\": 66232}, {\"name\": \"Mao Ye\", \"id\": 98778}, {\"name\": \"Mohammad Soleymani\", \"id\": 28731}, {\"name\": \"Steve J. Young\", \"id\": 25151}], \"links\": [{\"source\": 737632, \"target\": 414225}, {\"source\": 737632, \"target\": 1032970}, {\"source\": 1032970, \"target\": 414225}, {\"source\": 1032970, \"target\": 131499}, {\"source\": 131499, \"target\": 25151}, {\"source\": 131499, \"target\": 201271}, {\"source\": 131499, \"target\": 414225}, {\"source\": 1454, \"target\": 98778}, {\"source\": 1454, \"target\": 414225}, {\"source\": 1454, \"target\": 66232}, {\"source\": 28240, \"target\": 33617}, {\"source\": 28240, \"target\": 414225}, {\"source\": 414225, \"target\": 1938}, {\"source\": 414225, \"target\": 3667}, {\"source\": 414225, \"target\": 28731}, {\"source\": 414225, \"target\": 33617}, {\"source\": 414225, \"target\": 66232}, {\"source\": 414225, \"target\": 98778}, {\"source\": 414225, \"target\": 25151}, {\"source\": 414225, \"target\": 201271}, {\"source\": 33617, \"target\": 1938}, {\"source\": 1938, \"target\": 28731}]}", "id": 165, "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\nProblem to Solve\n\n- Authors in the network: Yuk Wah Wong, David L. Chen, Michael J. Collins, Philip S. Yu, Pasquale Lops, Ioannis Konstas, Francesco Ricci, Martha Larson, Xavier Serra, David Chiang, Yasuhiro Fujiwara, Mao Ye, Mohammad Soleymani, Steve J. Young\n- Research collaborations between these authors: Yuk Wah Wong and Ioannis Konstas, Yuk Wah Wong and David L. Chen, David L. Chen and Ioannis Konstas, David L. Chen and Michael J. Collins, Michael J. Collins and Steve J. Young, Michael J. Collins and David Chiang, Michael J. Collins and Ioannis Konstas, Philip S. Yu and Mao Ye, Philip S. Yu and Ioannis Konstas, Philip S. Yu and Yasuhiro Fujiwara, Pasquale Lops and Francesco Ricci, Pasquale Lops and Ioannis Konstas, Ioannis Konstas and Martha Larson, Ioannis Konstas and Xavier Serra, Ioannis Konstas and Mohammad Soleymani, Ioannis Konstas and Francesco Ricci, Ioannis Konstas and Yasuhiro Fujiwara, Ioannis Konstas and Mao Ye, Ioannis Konstas and Steve J. Young, Ioannis Konstas and David Chiang, Francesco Ricci and Martha Larson, Martha Larson and Mohammad Soleymani.\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\nProblem to Solve\n\n- Authors in the network: Fabio Rinaldi, Alberto Santos-Zavaleta, Socorro Gama-Castro, Martín Peralta-Gil, Igor Zwir, Dieter Jahn, Heladia Salgado, Alfredo Hernández-Alvarez, Julio Collado-Vides, Alejandra López-Fuentes, Suzanne M. Paley, Enrique Morett, Yalbi Itzel Balderas-Martínez, Araceli M. Huerta\n- Research collaborations between these authors: Fabio Rinaldi and Yalbi Itzel Balderas-Martínez, Fabio Rinaldi and Heladia Salgado, Fabio Rinaldi and Julio Collado-Vides, Fabio Rinaldi and Enrique Morett, Fabio Rinaldi and Alberto Santos-Zavaleta, Fabio Rinaldi and Socorro Gama-Castro, Fabio Rinaldi and Martín Peralta-Gil, Fabio Rinaldi and Alejandra López-Fuentes, Fabio Rinaldi and Araceli M. Huerta, Alberto Santos-Zavaleta and Yalbi Itzel Balderas-Martínez, Alberto Santos-Zavaleta and Igor Zwir, Alberto Santos-Zavaleta and Heladia Salgado, Alberto Santos-Zavaleta and Julio Collado-Vides, Alberto Santos-Zavaleta and Enrique Morett, Alberto Santos-Zavaleta and Socorro Gama-Castro, Alberto Santos-Zavaleta and Martín Peralta-Gil, Alberto Santos-Zavaleta and Suzanne M. Paley, Alberto Santos-Zavaleta and Alejandra López-Fuentes, Alberto Santos-Zavaleta and Araceli M. Huerta, Alberto Santos-Zavaleta and Dieter Jahn, Socorro Gama-Castro and Yalbi Itzel Balderas-Martínez, Socorro Gama-Castro and Igor Zwir, Socorro Gama-Castro and Heladia Salgado, Socorro Gama-Castro and Julio Collado-Vides, Socorro Gama-Castro and Enrique Morett, Socorro Gama-Castro and Martín Peralta-Gil, Socorro Gama-Castro and Suzanne M. Paley, Socorro Gama-Castro and Alejandra López-Fuentes, Socorro Gama-Castro and Araceli M. Huerta, Socorro Gama-Castro and Alfredo Hernández-Alvarez, Socorro Gama-Castro and Dieter Jahn, Martín Peralta-Gil and Yalbi Itzel Balderas-Martínez, Martín Peralta-Gil and Igor Zwir, Martín Peralta-Gil and Heladia Salgado, Martín Peralta-Gil and Julio Collado-Vides, Martín Peralta-Gil and Enrique Morett, Martín Peralta-Gil and Suzanne M. Paley, Martín Peralta-Gil and Araceli M. Huerta, Martín Peralta-Gil and Alejandra López-Fuentes, Igor Zwir and Heladia Salgado, Igor Zwir and Julio Collado-Vides, Dieter Jahn and Heladia Salgado, Dieter Jahn and Julio Collado-Vides, Heladia Salgado and Yalbi Itzel Balderas-Martínez, Heladia Salgado and Julio Collado-Vides, Heladia Salgado and Enrique Morett, Heladia Salgado and Suzanne M. Paley, Heladia Salgado and Alejandra López-Fuentes, Heladia Salgado and Araceli M. Huerta, Alfredo Hernández-Alvarez and Julio Collado-Vides, Julio Collado-Vides and Yalbi Itzel Balderas-Martínez, Julio Collado-Vides and Enrique Morett, Julio Collado-Vides and Suzanne M. Paley, Julio Collado-Vides and Alejandra López-Fuentes, Julio Collado-Vides and Araceli M. Huerta, Alejandra López-Fuentes and Yalbi Itzel Balderas-Martínez, Alejandra López-Fuentes and Enrique Morett, Alejandra López-Fuentes and Suzanne M. Paley, Alejandra López-Fuentes and Araceli M. Huerta, Suzanne M. Paley and Enrique Morett, Suzanne M. Paley and Araceli M. Huerta, Enrique Morett and Yalbi Itzel Balderas-Martínez, Enrique Morett and Araceli M. Huerta, Yalbi Itzel Balderas-Martínez and Araceli M. Huerta.\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\": \"Fabio Rinaldi\", \"id\": 63685}, {\"name\": \"Alberto Santos-Zavaleta\", \"id\": 346668}, {\"name\": \"Socorro Gama-Castro\", \"id\": 346669}, {\"name\": \"Mart\\u00edn Peralta-Gil\", \"id\": 346670}, {\"name\": \"Igor Zwir\", \"id\": 197039}, {\"name\": \"Dieter Jahn\", \"id\": 403248}, {\"name\": \"Heladia Salgado\", \"id\": 252499}, {\"name\": \"Alfredo Hern\\u00e1ndez-Alvarez\", \"id\": 1040564}, {\"name\": \"Julio Collado-Vides\", \"id\": 252501}, {\"name\": \"Alejandra L\\u00f3pez-Fuentes\", \"id\": 845974}, {\"name\": \"Suzanne M. Paley\", \"id\": 669594}, {\"name\": \"Enrique Morett\", \"id\": 285052}, {\"name\": \"Yalbi Itzel Balderas-Mart\\u00ednez\", \"id\": 187485}, {\"name\": \"Araceli M. Huerta\", \"id\": 845982}], \"links\": [{\"source\": 63685, \"target\": 187485}, {\"source\": 63685, \"target\": 252499}, {\"source\": 63685, \"target\": 252501}, {\"source\": 63685, \"target\": 285052}, {\"source\": 63685, \"target\": 346668}, {\"source\": 63685, \"target\": 346669}, {\"source\": 63685, \"target\": 346670}, {\"source\": 63685, \"target\": 845974}, {\"source\": 63685, \"target\": 845982}, {\"source\": 346668, \"target\": 187485}, {\"source\": 346668, \"target\": 197039}, {\"source\": 346668, \"target\": 252499}, {\"source\": 346668, \"target\": 252501}, {\"source\": 346668, \"target\": 285052}, {\"source\": 346668, \"target\": 346669}, {\"source\": 346668, \"target\": 346670}, {\"source\": 346668, \"target\": 669594}, {\"source\": 346668, \"target\": 845974}, {\"source\": 346668, \"target\": 845982}, {\"source\": 346668, \"target\": 403248}, {\"source\": 346669, \"target\": 187485}, {\"source\": 346669, \"target\": 197039}, {\"source\": 346669, \"target\": 252499}, {\"source\": 346669, \"target\": 252501}, {\"source\": 346669, \"target\": 285052}, {\"source\": 346669, \"target\": 346670}, {\"source\": 346669, \"target\": 669594}, {\"source\": 346669, \"target\": 845974}, {\"source\": 346669, \"target\": 845982}, {\"source\": 346669, \"target\": 1040564}, {\"source\": 346669, \"target\": 403248}, {\"source\": 346670, \"target\": 187485}, {\"source\": 346670, \"target\": 197039}, {\"source\": 346670, \"target\": 252499}, {\"source\": 346670, \"target\": 252501}, {\"source\": 346670, \"target\": 285052}, {\"source\": 346670, \"target\": 669594}, {\"source\": 346670, \"target\": 845982}, {\"source\": 346670, \"target\": 845974}, {\"source\": 197039, \"target\": 252499}, {\"source\": 197039, \"target\": 252501}, {\"source\": 403248, \"target\": 252499}, {\"source\": 403248, \"target\": 252501}, {\"source\": 252499, \"target\": 187485}, {\"source\": 252499, \"target\": 252501}, {\"source\": 252499, \"target\": 285052}, {\"source\": 252499, \"target\": 669594}, {\"source\": 252499, \"target\": 845974}, {\"source\": 252499, \"target\": 845982}, {\"source\": 1040564, \"target\": 252501}, {\"source\": 252501, \"target\": 187485}, {\"source\": 252501, \"target\": 285052}, {\"source\": 252501, \"target\": 669594}, {\"source\": 252501, \"target\": 845974}, {\"source\": 252501, \"target\": 845982}, {\"source\": 845974, \"target\": 187485}, {\"source\": 845974, \"target\": 285052}, {\"source\": 845974, \"target\": 669594}, {\"source\": 845974, \"target\": 845982}, {\"source\": 669594, \"target\": 285052}, {\"source\": 669594, \"target\": 845982}, {\"source\": 285052, \"target\": 187485}, {\"source\": 285052, \"target\": 845982}, {\"source\": 187485, \"target\": 845982}]}", "id": 1995, "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\nProblem to Solve\n\n- Authors in the network: Fabio Rinaldi, Alberto Santos-Zavaleta, Socorro Gama-Castro, Martín Peralta-Gil, Igor Zwir, Dieter Jahn, Heladia Salgado, Alfredo Hernández-Alvarez, Julio Collado-Vides, Alejandra López-Fuentes, Suzanne M. Paley, Enrique Morett, Yalbi Itzel Balderas-Martínez, Araceli M. Huerta\n- Research collaborations between these authors: Fabio Rinaldi and Yalbi Itzel Balderas-Martínez, Fabio Rinaldi and Heladia Salgado, Fabio Rinaldi and Julio Collado-Vides, Fabio Rinaldi and Enrique Morett, Fabio Rinaldi and Alberto Santos-Zavaleta, Fabio Rinaldi and Socorro Gama-Castro, Fabio Rinaldi and Martín Peralta-Gil, Fabio Rinaldi and Alejandra López-Fuentes, Fabio Rinaldi and Araceli M. Huerta, Alberto Santos-Zavaleta and Yalbi Itzel Balderas-Martínez, Alberto Santos-Zavaleta and Igor Zwir, Alberto Santos-Zavaleta and Heladia Salgado, Alberto Santos-Zavaleta and Julio Collado-Vides, Alberto Santos-Zavaleta and Enrique Morett, Alberto Santos-Zavaleta and Socorro Gama-Castro, Alberto Santos-Zavaleta and Martín Peralta-Gil, Alberto Santos-Zavaleta and Suzanne M. Paley, Alberto Santos-Zavaleta and Alejandra López-Fuentes, Alberto Santos-Zavaleta and Araceli M. Huerta, Alberto Santos-Zavaleta and Dieter Jahn, Socorro Gama-Castro and Yalbi Itzel Balderas-Martínez, Socorro Gama-Castro and Igor Zwir, Socorro Gama-Castro and Heladia Salgado, Socorro Gama-Castro and Julio Collado-Vides, Socorro Gama-Castro and Enrique Morett, Socorro Gama-Castro and Martín Peralta-Gil, Socorro Gama-Castro and Suzanne M. Paley, Socorro Gama-Castro and Alejandra López-Fuentes, Socorro Gama-Castro and Araceli M. Huerta, Socorro Gama-Castro and Alfredo Hernández-Alvarez, Socorro Gama-Castro and Dieter Jahn, Martín Peralta-Gil and Yalbi Itzel Balderas-Martínez, Martín Peralta-Gil and Igor Zwir, Martín Peralta-Gil and Heladia Salgado, Martín Peralta-Gil and Julio Collado-Vides, Martín Peralta-Gil and Enrique Morett, Martín Peralta-Gil and Suzanne M. Paley, Martín Peralta-Gil and Araceli M. Huerta, Martín Peralta-Gil and Alejandra López-Fuentes, Igor Zwir and Heladia Salgado, Igor Zwir and Julio Collado-Vides, Dieter Jahn and Heladia Salgado, Dieter Jahn and Julio Collado-Vides, Heladia Salgado and Yalbi Itzel Balderas-Martínez, Heladia Salgado and Julio Collado-Vides, Heladia Salgado and Enrique Morett, Heladia Salgado and Suzanne M. Paley, Heladia Salgado and Alejandra López-Fuentes, Heladia Salgado and Araceli M. Huerta, Alfredo Hernández-Alvarez and Julio Collado-Vides, Julio Collado-Vides and Yalbi Itzel Balderas-Martínez, Julio Collado-Vides and Enrique Morett, Julio Collado-Vides and Suzanne M. Paley, Julio Collado-Vides and Alejandra López-Fuentes, Julio Collado-Vides and Araceli M. Huerta, Alejandra López-Fuentes and Yalbi Itzel Balderas-Martínez, Alejandra López-Fuentes and Enrique Morett, Alejandra López-Fuentes and Suzanne M. Paley, Alejandra López-Fuentes and Araceli M. Huerta, Suzanne M. Paley and Enrique Morett, Suzanne M. Paley and Araceli M. Huerta, Enrique Morett and Yalbi Itzel Balderas-Martínez, Enrique Morett and Araceli M. Huerta, Yalbi Itzel Balderas-Martínez and Araceli M. Huerta.\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\nProblem to Solve\n\n- Authors in the network: Anh T. Pham, Habib Fathallah, Uei-Ming Jow, Julian Cheng, Martin Maier, Mohammad M. Rad, Ho-Lung Hung, Burak Kantarci, Martin Reisslein, Murat Uysal, George K. Karagiannidis, Leslie A. Rusch, Theodoros A. Tsiftsis, Maged Abdullah Esmail\n- Research collaborations between these authors: Anh T. Pham and George K. Karagiannidis, Anh T. Pham and Theodoros A. Tsiftsis, Anh T. Pham and Murat Uysal, Anh T. Pham and Julian Cheng, Anh T. Pham and Mohammad M. Rad, Habib Fathallah and Martin Maier, Habib Fathallah and Maged Abdullah Esmail, Habib Fathallah and Murat Uysal, Habib Fathallah and Leslie A. Rusch, Habib Fathallah and Mohammad M. Rad, Uei-Ming Jow and Leslie A. Rusch, Julian Cheng and George K. Karagiannidis, Julian Cheng and Theodoros A. Tsiftsis, Julian Cheng and Murat Uysal, Martin Maier and Martin Reisslein, Martin Maier and Burak Kantarci, Martin Maier and Leslie A. Rusch, Martin Maier and Mohammad M. Rad, Martin Maier and Maged Abdullah Esmail, Mohammad M. Rad and Maged Abdullah Esmail, Mohammad M. Rad and Murat Uysal, Ho-Lung Hung and Leslie A. Rusch, Burak Kantarci and Martin Reisslein, Murat Uysal and Maged Abdullah Esmail, Murat Uysal and George K. Karagiannidis, Murat Uysal and Theodoros A. Tsiftsis, George K. Karagiannidis and Theodoros A. Tsiftsis, Leslie A. Rusch and Maged Abdullah Esmail.\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\": \"Anh T. Pham\", \"id\": 194912}, {\"name\": \"Habib Fathallah\", \"id\": 176032}, {\"name\": \"Martin Maier\", \"id\": 56651}, {\"name\": \"Mohammad M. Rad\", \"id\": 823052}, {\"name\": \"Ho-Lung Hung\", \"id\": 178573}, {\"name\": \"George K. Karagiannidis\", \"id\": 181626}, {\"name\": \"Burak Kantarci\", \"id\": 168591}, {\"name\": \"Martin Reisslein\", \"id\": 50997}, {\"name\": \"Uei-Ming Jow\", \"id\": 793465}, {\"name\": \"Julian Cheng\", \"id\": 345242}, {\"name\": \"Leslie A. Rusch\", \"id\": 319292}, {\"name\": \"Murat Uysal\", \"id\": 257017}, {\"name\": \"Theodoros A. Tsiftsis\", \"id\": 189374}, {\"name\": \"Maged Abdullah Esmail\", \"id\": 176031}], \"links\": [{\"source\": 194912, \"target\": 181626}, {\"source\": 194912, \"target\": 189374}, {\"source\": 194912, \"target\": 257017}, {\"source\": 194912, \"target\": 345242}, {\"source\": 194912, \"target\": 823052}, {\"source\": 176032, \"target\": 56651}, {\"source\": 176032, \"target\": 176031}, {\"source\": 176032, \"target\": 257017}, {\"source\": 176032, \"target\": 319292}, {\"source\": 176032, \"target\": 823052}, {\"source\": 56651, \"target\": 50997}, {\"source\": 56651, \"target\": 168591}, {\"source\": 56651, \"target\": 319292}, {\"source\": 56651, \"target\": 823052}, {\"source\": 56651, \"target\": 176031}, {\"source\": 823052, \"target\": 176031}, {\"source\": 823052, \"target\": 257017}, {\"source\": 178573, \"target\": 319292}, {\"source\": 181626, \"target\": 189374}, {\"source\": 181626, \"target\": 257017}, {\"source\": 181626, \"target\": 345242}, {\"source\": 168591, \"target\": 50997}, {\"source\": 793465, \"target\": 319292}, {\"source\": 345242, \"target\": 189374}, {\"source\": 345242, \"target\": 257017}, {\"source\": 319292, \"target\": 176031}, {\"source\": 257017, \"target\": 176031}, {\"source\": 257017, \"target\": 189374}]}", "id": 2123, "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\nProblem to Solve\n\n- Authors in the network: Anh T. Pham, Habib Fathallah, Uei-Ming Jow, Julian Cheng, Martin Maier, Mohammad M. Rad, Ho-Lung Hung, Burak Kantarci, Martin Reisslein, Murat Uysal, George K. Karagiannidis, Leslie A. Rusch, Theodoros A. Tsiftsis, Maged Abdullah Esmail\n- Research collaborations between these authors: Anh T. Pham and George K. Karagiannidis, Anh T. Pham and Theodoros A. Tsiftsis, Anh T. Pham and Murat Uysal, Anh T. Pham and Julian Cheng, Anh T. Pham and Mohammad M. Rad, Habib Fathallah and Martin Maier, Habib Fathallah and Maged Abdullah Esmail, Habib Fathallah and Murat Uysal, Habib Fathallah and Leslie A. Rusch, Habib Fathallah and Mohammad M. Rad, Uei-Ming Jow and Leslie A. Rusch, Julian Cheng and George K. Karagiannidis, Julian Cheng and Theodoros A. Tsiftsis, Julian Cheng and Murat Uysal, Martin Maier and Martin Reisslein, Martin Maier and Burak Kantarci, Martin Maier and Leslie A. Rusch, Martin Maier and Mohammad M. Rad, Martin Maier and Maged Abdullah Esmail, Mohammad M. Rad and Maged Abdullah Esmail, Mohammad M. Rad and Murat Uysal, Ho-Lung Hung and Leslie A. Rusch, Burak Kantarci and Martin Reisslein, Murat Uysal and Maged Abdullah Esmail, Murat Uysal and George K. Karagiannidis, Murat Uysal and Theodoros A. Tsiftsis, George K. Karagiannidis and Theodoros A. Tsiftsis, Leslie A. Rusch and Maged Abdullah Esmail.\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\nProblem to Solve\n\n- Authors in the network: Zhi-Hua Zhou, Jeffrey M. Squyres, Edward R. Dougherty, Yang Zhang, Christos Faloutsos, Wenjing Li, Rosemarijn Looije, Guang-Bin Huang, Jinggeng Wang, Rajiv Soundararajan, Nikola Kasabov, Huawei Chen, Taro Nakamura, Chuan-Ke Zhang\n- Research collaborations between these authors: Zhi-Hua Zhou and Nikola Kasabov, Zhi-Hua Zhou and Christos Faloutsos, Zhi-Hua Zhou and Yang Zhang, Yang Zhang and Christos Faloutsos, Wenjing Li and Guang-Bin Huang, Wenjing Li and Rajiv Soundararajan, Guang-Bin Huang and Nikola Kasabov, Guang-Bin Huang and Huawei Chen, Guang-Bin Huang and Chuan-Ke Zhang, Guang-Bin Huang and Jinggeng 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": 3, "style": "rule" }	{ "exact_answer": 3, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Zhi-Hua Zhou\", \"id\": 27904}, {\"name\": \"Jeffrey M. Squyres\", \"id\": 255015}, {\"name\": \"Yang Zhang\", \"id\": 42888}, {\"name\": \"Edward R. Dougherty\", \"id\": 69864}, {\"name\": \"Christos Faloutsos\", \"id\": 13547}, {\"name\": \"Wenjing Li\", \"id\": 133102}, {\"name\": \"Rosemarijn Looije\", \"id\": 157998}, {\"name\": \"Guang-Bin Huang\", \"id\": 21456}, {\"name\": \"Jinggeng Wang\", \"id\": 873201}, {\"name\": \"Rajiv Soundararajan\", \"id\": 173300}, {\"name\": \"Nikola Kasabov\", \"id\": 6772}, {\"name\": \"Huawei Chen\", \"id\": 279862}, {\"name\": \"Taro Nakamura\", \"id\": 109434}, {\"name\": \"Chuan-Ke Zhang\", \"id\": 503422}], \"links\": [{\"source\": 27904, \"target\": 6772}, {\"source\": 27904, \"target\": 13547}, {\"source\": 27904, \"target\": 42888}, {\"source\": 42888, \"target\": 13547}, {\"source\": 133102, \"target\": 21456}, {\"source\": 133102, \"target\": 173300}, {\"source\": 21456, \"target\": 6772}, {\"source\": 21456, \"target\": 279862}, {\"source\": 21456, \"target\": 503422}, {\"source\": 21456, \"target\": 873201}]}", "id": 2179, "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\nProblem to Solve\n\n- Authors in the network: Zhi-Hua Zhou, Jeffrey M. Squyres, Edward R. Dougherty, Yang Zhang, Christos Faloutsos, Wenjing Li, Rosemarijn Looije, Guang-Bin Huang, Jinggeng Wang, Rajiv Soundararajan, Nikola Kasabov, Huawei Chen, Taro Nakamura, Chuan-Ke Zhang\n- Research collaborations between these authors: Zhi-Hua Zhou and Nikola Kasabov, Zhi-Hua Zhou and Christos Faloutsos, Zhi-Hua Zhou and Yang Zhang, Yang Zhang and Christos Faloutsos, Wenjing Li and Guang-Bin Huang, Wenjing Li and Rajiv Soundararajan, Guang-Bin Huang and Nikola Kasabov, Guang-Bin Huang and Huawei Chen, Guang-Bin Huang and Chuan-Ke Zhang, Guang-Bin Huang and Jinggeng 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\nProblem to Solve\n\n- Authors in the network: Douglas J. Ierardi, Jason R. Villarreal, J. P. Grossman, Ian A. Troxel, Herman Lam, Adam Jacobs, Melissa C. Smith, Katherine A. Yelick, Adam Leko, John K. Salmon, Alan D. George, Kevin J. Bowers, Jack C. Chao, Cliff Young\n- Research collaborations between these authors: Douglas J. Ierardi and Cliff Young, Douglas J. Ierardi and Alan D. George, Douglas J. Ierardi and Herman Lam, Douglas J. Ierardi and J. P. Grossman, Douglas J. Ierardi and Jack C. Chao, Douglas J. Ierardi and Kevin J. Bowers, Douglas J. Ierardi and John K. Salmon, Jason R. Villarreal and Alan D. George, J. P. Grossman and Cliff Young, J. P. Grossman and Alan D. George, J. P. Grossman and Herman Lam, J. P. Grossman and Kevin J. Bowers, J. P. Grossman and Jack C. Chao, J. P. Grossman and John K. Salmon, Ian A. Troxel and Alan D. George, Herman Lam and Melissa C. Smith, Herman Lam and Alan D. George, Herman Lam and Cliff Young, Herman Lam and Kevin J. Bowers, Herman Lam and Jack C. Chao, Herman Lam and John K. Salmon, Adam Jacobs and Alan D. George, Melissa C. Smith and Alan D. George, Katherine A. Yelick and Alan D. George, Adam Leko and Alan D. George, John K. Salmon and Cliff Young, John K. Salmon and Alan D. George, John K. Salmon and Kevin J. Bowers, John K. Salmon and Jack C. Chao, Alan D. George and Cliff Young, Alan D. George and Kevin J. Bowers, Alan D. George and Jack C. Chao, Kevin J. Bowers and Cliff Young, Kevin J. Bowers and Jack C. Chao, Jack C. Chao and Cliff Young.\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\": \"Douglas J. Ierardi\", \"id\": 758560}, {\"name\": \"J. P. Grossman\", \"id\": 316836}, {\"name\": \"Jason R. Villarreal\", \"id\": 397988}, {\"name\": \"Ian A. Troxel\", \"id\": 56519}, {\"name\": \"Herman Lam\", \"id\": 48937}, {\"name\": \"Adam Jacobs\", \"id\": 148650}, {\"name\": \"Melissa C. Smith\", \"id\": 12075}, {\"name\": \"Katherine A. Yelick\", \"id\": 174989}, {\"name\": \"Adam Leko\", \"id\": 302958}, {\"name\": \"John K. Salmon\", \"id\": 758575}, {\"name\": \"Alan D. George\", \"id\": 48561}, {\"name\": \"Kevin J. Bowers\", \"id\": 602099}, {\"name\": \"Jack C. Chao\", \"id\": 758553}, {\"name\": \"Cliff Young\", \"id\": 5983}], \"links\": [{\"source\": 758560, \"target\": 5983}, {\"source\": 758560, \"target\": 48561}, {\"source\": 758560, \"target\": 48937}, {\"source\": 758560, \"target\": 316836}, {\"source\": 758560, \"target\": 758553}, {\"source\": 758560, \"target\": 602099}, {\"source\": 758560, \"target\": 758575}, {\"source\": 316836, \"target\": 5983}, {\"source\": 316836, \"target\": 48561}, {\"source\": 316836, \"target\": 48937}, {\"source\": 316836, \"target\": 602099}, {\"source\": 316836, \"target\": 758553}, {\"source\": 316836, \"target\": 758575}, {\"source\": 397988, \"target\": 48561}, {\"source\": 56519, \"target\": 48561}, {\"source\": 48937, \"target\": 12075}, {\"source\": 48937, \"target\": 48561}, {\"source\": 48937, \"target\": 5983}, {\"source\": 48937, \"target\": 602099}, {\"source\": 48937, \"target\": 758553}, {\"source\": 48937, \"target\": 758575}, {\"source\": 148650, \"target\": 48561}, {\"source\": 12075, \"target\": 48561}, {\"source\": 174989, \"target\": 48561}, {\"source\": 302958, \"target\": 48561}, {\"source\": 758575, \"target\": 5983}, {\"source\": 758575, \"target\": 48561}, {\"source\": 758575, \"target\": 602099}, {\"source\": 758575, \"target\": 758553}, {\"source\": 48561, \"target\": 5983}, {\"source\": 48561, \"target\": 602099}, {\"source\": 48561, \"target\": 758553}, {\"source\": 602099, \"target\": 5983}, {\"source\": 602099, \"target\": 758553}, {\"source\": 758553, \"target\": 5983}]}", "id": 134, "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\nProblem to Solve\n\n- Authors in the network: Douglas J. Ierardi, Jason R. Villarreal, J. P. Grossman, Ian A. Troxel, Herman Lam, Adam Jacobs, Melissa C. Smith, Katherine A. Yelick, Adam Leko, John K. Salmon, Alan D. George, Kevin J. Bowers, Jack C. Chao, Cliff Young\n- Research collaborations between these authors: Douglas J. Ierardi and Cliff Young, Douglas J. Ierardi and Alan D. George, Douglas J. Ierardi and Herman Lam, Douglas J. Ierardi and J. P. Grossman, Douglas J. Ierardi and Jack C. Chao, Douglas J. Ierardi and Kevin J. Bowers, Douglas J. Ierardi and John K. Salmon, Jason R. Villarreal and Alan D. George, J. P. Grossman and Cliff Young, J. P. Grossman and Alan D. George, J. P. Grossman and Herman Lam, J. P. Grossman and Kevin J. Bowers, J. P. Grossman and Jack C. Chao, J. P. Grossman and John K. Salmon, Ian A. Troxel and Alan D. George, Herman Lam and Melissa C. Smith, Herman Lam and Alan D. George, Herman Lam and Cliff Young, Herman Lam and Kevin J. Bowers, Herman Lam and Jack C. Chao, Herman Lam and John K. Salmon, Adam Jacobs and Alan D. George, Melissa C. Smith and Alan D. George, Katherine A. Yelick and Alan D. George, Adam Leko and Alan D. George, John K. Salmon and Cliff Young, John K. Salmon and Alan D. George, John K. Salmon and Kevin J. Bowers, John K. Salmon and Jack C. Chao, Alan D. George and Cliff Young, Alan D. George and Kevin J. Bowers, Alan D. George and Jack C. Chao, Kevin J. Bowers and Cliff Young, Kevin J. Bowers and Jack C. Chao, Jack C. Chao and Cliff Young.\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\nProblem to Solve\n\n- Authors in the network: Hongtao Xu, Kari Stadius, Patrick Reynaert, Ali M. Niknejad, Shouhei Kousai, Jonas Fritzin, Ashoke Ravi, Hasnain Lakdawala, Yorgos Palaskas, Jussi Ryynanen, Hua Wang, Mikko Valkama, Song Hu, Enrico Roverato\n- Research collaborations between these authors: Hongtao Xu and Hua Wang, Hongtao Xu and Mikko Valkama, Hongtao Xu and Song Hu, Hongtao Xu and Jussi Ryynanen, Hongtao Xu and Ashoke Ravi, Hongtao Xu and Yorgos Palaskas, Hongtao Xu and Hasnain Lakdawala, Hongtao Xu and Kari Stadius, Hongtao Xu and Enrico Roverato, Hongtao Xu and Patrick Reynaert, Hongtao Xu and Jonas Fritzin, Hongtao Xu and Shouhei Kousai, Kari Stadius and Jussi Ryynanen, Kari Stadius and Ashoke Ravi, Kari Stadius and Yorgos Palaskas, Patrick Reynaert and Hua Wang, Patrick Reynaert and Song Hu, Patrick Reynaert and Ali M. Niknejad, Patrick Reynaert and Ashoke Ravi, Patrick Reynaert and Yorgos Palaskas, Patrick Reynaert and Hasnain Lakdawala, Patrick Reynaert and Shouhei Kousai, Ali M. Niknejad and Hua Wang, Ali M. Niknejad and Song Hu, Ali M. Niknejad and Yorgos Palaskas, Ali M. Niknejad and Shouhei Kousai, Shouhei Kousai and Hua Wang, Shouhei Kousai and Song Hu, Shouhei Kousai and Ashoke Ravi, Shouhei Kousai and Yorgos Palaskas, Jonas Fritzin and Ashoke Ravi, Jonas Fritzin and Yorgos Palaskas, Ashoke Ravi and Hua Wang, Ashoke Ravi and Mikko Valkama, Ashoke Ravi and Song Hu, Ashoke Ravi and Jussi Ryynanen, Ashoke Ravi and Yorgos Palaskas, Ashoke Ravi and Hasnain Lakdawala, Ashoke Ravi and Enrico Roverato, Hasnain Lakdawala and Hua Wang, Hasnain Lakdawala and Yorgos Palaskas, Yorgos Palaskas and Hua Wang, Yorgos Palaskas and Mikko Valkama, Yorgos Palaskas and Song Hu, Yorgos Palaskas and Jussi Ryynanen, Yorgos Palaskas and Enrico Roverato, Jussi Ryynanen and Mikko Valkama, Hua Wang and Song Hu.\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\": \"Hongtao Xu\", \"id\": 222848}, {\"name\": \"Ali M. Niknejad\", \"id\": 242690}, {\"name\": \"Patrick Reynaert\", \"id\": 468355}, {\"name\": \"Shouhei Kousai\", \"id\": 517737}, {\"name\": \"Jonas Fritzin\", \"id\": 491755}, {\"name\": \"Song Hu\", \"id\": 177981}, {\"name\": \"Ashoke Ravi\", \"id\": 280430}, {\"name\": \"Hasnain Lakdawala\", \"id\": 330766}, {\"name\": \"Yorgos Palaskas\", \"id\": 280432}, {\"name\": \"Jussi Ryynanen\", \"id\": 214448}, {\"name\": \"Hua Wang\", \"id\": 922}, {\"name\": \"Mikko Valkama\", \"id\": 121051}, {\"name\": \"Kari Stadius\", \"id\": 415261}, {\"name\": \"Enrico Roverato\", \"id\": 465535}], \"links\": [{\"source\": 222848, \"target\": 922}, {\"source\": 222848, \"target\": 121051}, {\"source\": 222848, \"target\": 177981}, {\"source\": 222848, \"target\": 214448}, {\"source\": 222848, \"target\": 280430}, {\"source\": 222848, \"target\": 280432}, {\"source\": 222848, \"target\": 330766}, {\"source\": 222848, \"target\": 415261}, {\"source\": 222848, \"target\": 465535}, {\"source\": 222848, \"target\": 468355}, {\"source\": 222848, \"target\": 491755}, {\"source\": 222848, \"target\": 517737}, {\"source\": 242690, \"target\": 922}, {\"source\": 242690, \"target\": 177981}, {\"source\": 242690, \"target\": 280432}, {\"source\": 242690, \"target\": 468355}, {\"source\": 242690, \"target\": 517737}, {\"source\": 468355, \"target\": 922}, {\"source\": 468355, \"target\": 177981}, {\"source\": 468355, \"target\": 280430}, {\"source\": 468355, \"target\": 280432}, {\"source\": 468355, \"target\": 330766}, {\"source\": 468355, \"target\": 517737}, {\"source\": 517737, \"target\": 922}, {\"source\": 517737, \"target\": 177981}, {\"source\": 517737, \"target\": 280430}, {\"source\": 517737, \"target\": 280432}, {\"source\": 491755, \"target\": 280430}, {\"source\": 491755, \"target\": 280432}, {\"source\": 177981, \"target\": 922}, {\"source\": 177981, \"target\": 280430}, {\"source\": 177981, \"target\": 280432}, {\"source\": 280430, \"target\": 922}, {\"source\": 280430, \"target\": 121051}, {\"source\": 280430, \"target\": 214448}, {\"source\": 280430, \"target\": 280432}, {\"source\": 280430, \"target\": 330766}, {\"source\": 280430, \"target\": 415261}, {\"source\": 280430, \"target\": 465535}, {\"source\": 330766, \"target\": 922}, {\"source\": 330766, \"target\": 280432}, {\"source\": 280432, \"target\": 922}, {\"source\": 280432, \"target\": 121051}, {\"source\": 280432, \"target\": 214448}, {\"source\": 280432, \"target\": 415261}, {\"source\": 280432, \"target\": 465535}, {\"source\": 214448, \"target\": 121051}, {\"source\": 214448, \"target\": 415261}]}", "id": 1968, "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\nProblem to Solve\n\n- Authors in the network: Hongtao Xu, Kari Stadius, Patrick Reynaert, Ali M. Niknejad, Shouhei Kousai, Jonas Fritzin, Ashoke Ravi, Hasnain Lakdawala, Yorgos Palaskas, Jussi Ryynanen, Hua Wang, Mikko Valkama, Song Hu, Enrico Roverato\n- Research collaborations between these authors: Hongtao Xu and Hua Wang, Hongtao Xu and Mikko Valkama, Hongtao Xu and Song Hu, Hongtao Xu and Jussi Ryynanen, Hongtao Xu and Ashoke Ravi, Hongtao Xu and Yorgos Palaskas, Hongtao Xu and Hasnain Lakdawala, Hongtao Xu and Kari Stadius, Hongtao Xu and Enrico Roverato, Hongtao Xu and Patrick Reynaert, Hongtao Xu and Jonas Fritzin, Hongtao Xu and Shouhei Kousai, Kari Stadius and Jussi Ryynanen, Kari Stadius and Ashoke Ravi, Kari Stadius and Yorgos Palaskas, Patrick Reynaert and Hua Wang, Patrick Reynaert and Song Hu, Patrick Reynaert and Ali M. Niknejad, Patrick Reynaert and Ashoke Ravi, Patrick Reynaert and Yorgos Palaskas, Patrick Reynaert and Hasnain Lakdawala, Patrick Reynaert and Shouhei Kousai, Ali M. Niknejad and Hua Wang, Ali M. Niknejad and Song Hu, Ali M. Niknejad and Yorgos Palaskas, Ali M. Niknejad and Shouhei Kousai, Shouhei Kousai and Hua Wang, Shouhei Kousai and Song Hu, Shouhei Kousai and Ashoke Ravi, Shouhei Kousai and Yorgos Palaskas, Jonas Fritzin and Ashoke Ravi, Jonas Fritzin and Yorgos Palaskas, Ashoke Ravi and Hua Wang, Ashoke Ravi and Mikko Valkama, Ashoke Ravi and Song Hu, Ashoke Ravi and Jussi Ryynanen, Ashoke Ravi and Yorgos Palaskas, Ashoke Ravi and Hasnain Lakdawala, Ashoke Ravi and Enrico Roverato, Hasnain Lakdawala and Hua Wang, Hasnain Lakdawala and Yorgos Palaskas, Yorgos Palaskas and Hua Wang, Yorgos Palaskas and Mikko Valkama, Yorgos Palaskas and Song Hu, Yorgos Palaskas and Jussi Ryynanen, Yorgos Palaskas and Enrico Roverato, Jussi Ryynanen and Mikko Valkama, Hua Wang and Song Hu.\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\nProblem to Solve\n\n- Authors in the network: Patrick P. C. Lee, Lei Tian, Wen Xia, Min Fu, Dan Feng, Suzhen Wu, Hong Jiang, Bo Mao, Yukun Zhou, Ion Stoica, Mark Lillibridge, Yucheng Zhang, Ran Kalach, David Mazières\n- Research collaborations between these authors: Patrick P. C. Lee and Hong Jiang, Patrick P. C. Lee and Ion Stoica, Patrick P. C. Lee and Dan Feng, Patrick P. C. Lee and Mark Lillibridge, Patrick P. C. Lee and Wen Xia, Patrick P. C. Lee and Lei Tian, Patrick P. C. Lee and Suzhen Wu, Patrick P. C. Lee and Bo Mao, Patrick P. C. Lee and Min Fu, Patrick P. C. Lee and Yucheng Zhang, Patrick P. C. Lee and Yukun Zhou, Lei Tian and Suzhen Wu, Lei Tian and Hong Jiang, Lei Tian and Bo Mao, Lei Tian and Dan Feng, Lei Tian and Wen Xia, Lei Tian and Min Fu, Lei Tian and David Mazières, Lei Tian and Mark Lillibridge, Lei Tian and Ran Kalach, Lei Tian and Yucheng Zhang, Lei Tian and Yukun Zhou, Wen Xia and Suzhen Wu, Wen Xia and Hong Jiang, Wen Xia and Bo Mao, Wen Xia and Dan Feng, Wen Xia and David Mazières, Wen Xia and Mark Lillibridge, Wen Xia and Min Fu, Wen Xia and Yucheng Zhang, Wen Xia and Ran Kalach, Wen Xia and Yukun Zhou, Min Fu and Hong Jiang, Min Fu and Dan Feng, Min Fu and David Mazières, Min Fu and Mark Lillibridge, Min Fu and Yucheng Zhang, Min Fu and Ran Kalach, Min Fu and Yukun Zhou, Dan Feng and Suzhen Wu, Dan Feng and Hong Jiang, Dan Feng and Bo Mao, Dan Feng and Ion Stoica, Dan Feng and David Mazières, Dan Feng and Mark Lillibridge, Dan Feng and Yucheng Zhang, Dan Feng and Ran Kalach, Dan Feng and Yukun Zhou, Suzhen Wu and Hong Jiang, Suzhen Wu and Bo Mao, Suzhen Wu and Mark Lillibridge, Suzhen Wu and Ran Kalach, Hong Jiang and Bo Mao, Hong Jiang and Ion Stoica, Hong Jiang and David Mazières, Hong Jiang and Mark Lillibridge, Hong Jiang and Yucheng Zhang, Hong Jiang and Ran Kalach, Hong Jiang and Yukun Zhou, Bo Mao and Mark Lillibridge, Bo Mao and Ran Kalach, Yukun Zhou and Yucheng Zhang, Yukun Zhou and David Mazières, Yukun Zhou and Mark Lillibridge, Yukun Zhou and Ran Kalach, Ion Stoica and David Mazières, Ion Stoica and Mark Lillibridge, Mark Lillibridge and David Mazières, Mark Lillibridge and Yucheng Zhang, Yucheng Zhang and David Mazières, Yucheng Zhang and Ran Kalach.\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 P. C. Lee\", \"id\": 9666}, {\"name\": \"Lei Tian\", \"id\": 215109}, {\"name\": \"Wen Xia\", \"id\": 200392}, {\"name\": \"Min Fu\", \"id\": 200393}, {\"name\": \"Dan Feng\", \"id\": 24169}, {\"name\": \"Suzhen Wu\", \"id\": 16813}, {\"name\": \"Hong Jiang\", \"id\": 16814}, {\"name\": \"Bo Mao\", \"id\": 16815}, {\"name\": \"Yukun Zhou\", \"id\": 324978}, {\"name\": \"Ion Stoica\", \"id\": 19443}, {\"name\": \"Mark Lillibridge\", \"id\": 75284}, {\"name\": \"Yucheng Zhang\", \"id\": 216021}, {\"name\": \"Ran Kalach\", \"id\": 219064}, {\"name\": \"David Mazi\\u00e8res\", \"id\": 60440}], \"links\": [{\"source\": 9666, \"target\": 16814}, {\"source\": 9666, \"target\": 19443}, {\"source\": 9666, \"target\": 24169}, {\"source\": 9666, \"target\": 75284}, {\"source\": 9666, \"target\": 200392}, {\"source\": 9666, \"target\": 215109}, {\"source\": 9666, \"target\": 16813}, {\"source\": 9666, \"target\": 16815}, {\"source\": 9666, \"target\": 200393}, {\"source\": 9666, \"target\": 216021}, {\"source\": 9666, \"target\": 324978}, {\"source\": 215109, \"target\": 16813}, {\"source\": 215109, \"target\": 16814}, {\"source\": 215109, \"target\": 16815}, {\"source\": 215109, \"target\": 24169}, {\"source\": 215109, \"target\": 200392}, {\"source\": 215109, \"target\": 200393}, {\"source\": 215109, \"target\": 60440}, {\"source\": 215109, \"target\": 75284}, {\"source\": 215109, \"target\": 219064}, {\"source\": 215109, \"target\": 216021}, {\"source\": 215109, \"target\": 324978}, {\"source\": 200392, \"target\": 16813}, {\"source\": 200392, \"target\": 16814}, {\"source\": 200392, \"target\": 16815}, {\"source\": 200392, \"target\": 24169}, {\"source\": 200392, \"target\": 60440}, {\"source\": 200392, \"target\": 75284}, {\"source\": 200392, \"target\": 200393}, {\"source\": 200392, \"target\": 216021}, {\"source\": 200392, \"target\": 219064}, {\"source\": 200392, \"target\": 324978}, {\"source\": 200393, \"target\": 16814}, {\"source\": 200393, \"target\": 24169}, {\"source\": 200393, \"target\": 60440}, {\"source\": 200393, \"target\": 75284}, {\"source\": 200393, \"target\": 216021}, {\"source\": 200393, \"target\": 219064}, {\"source\": 200393, \"target\": 324978}, {\"source\": 24169, \"target\": 16813}, {\"source\": 24169, \"target\": 16814}, {\"source\": 24169, \"target\": 16815}, {\"source\": 24169, \"target\": 19443}, {\"source\": 24169, \"target\": 60440}, {\"source\": 24169, \"target\": 75284}, {\"source\": 24169, \"target\": 216021}, {\"source\": 24169, \"target\": 219064}, {\"source\": 24169, \"target\": 324978}, {\"source\": 16813, \"target\": 16814}, {\"source\": 16813, \"target\": 16815}, {\"source\": 16813, \"target\": 75284}, {\"source\": 16813, \"target\": 219064}, {\"source\": 16814, \"target\": 16815}, {\"source\": 16814, \"target\": 19443}, {\"source\": 16814, \"target\": 60440}, {\"source\": 16814, \"target\": 75284}, {\"source\": 16814, \"target\": 216021}, {\"source\": 16814, \"target\": 219064}, {\"source\": 16814, \"target\": 324978}, {\"source\": 16815, \"target\": 75284}, {\"source\": 16815, \"target\": 219064}, {\"source\": 324978, \"target\": 216021}, {\"source\": 324978, \"target\": 60440}, {\"source\": 324978, \"target\": 75284}, {\"source\": 324978, \"target\": 219064}, {\"source\": 19443, \"target\": 60440}, {\"source\": 19443, \"target\": 75284}, {\"source\": 75284, \"target\": 60440}, {\"source\": 75284, \"target\": 216021}, {\"source\": 216021, \"target\": 60440}, {\"source\": 216021, \"target\": 219064}]}", "id": 563, "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\nProblem to Solve\n\n- Authors in the network: Patrick P. C. Lee, Lei Tian, Wen Xia, Min Fu, Dan Feng, Suzhen Wu, Hong Jiang, Bo Mao, Yukun Zhou, Ion Stoica, Mark Lillibridge, Yucheng Zhang, Ran Kalach, David Mazières\n- Research collaborations between these authors: Patrick P. C. Lee and Hong Jiang, Patrick P. C. Lee and Ion Stoica, Patrick P. C. Lee and Dan Feng, Patrick P. C. Lee and Mark Lillibridge, Patrick P. C. Lee and Wen Xia, Patrick P. C. Lee and Lei Tian, Patrick P. C. Lee and Suzhen Wu, Patrick P. C. Lee and Bo Mao, Patrick P. C. Lee and Min Fu, Patrick P. C. Lee and Yucheng Zhang, Patrick P. C. Lee and Yukun Zhou, Lei Tian and Suzhen Wu, Lei Tian and Hong Jiang, Lei Tian and Bo Mao, Lei Tian and Dan Feng, Lei Tian and Wen Xia, Lei Tian and Min Fu, Lei Tian and David Mazières, Lei Tian and Mark Lillibridge, Lei Tian and Ran Kalach, Lei Tian and Yucheng Zhang, Lei Tian and Yukun Zhou, Wen Xia and Suzhen Wu, Wen Xia and Hong Jiang, Wen Xia and Bo Mao, Wen Xia and Dan Feng, Wen Xia and David Mazières, Wen Xia and Mark Lillibridge, Wen Xia and Min Fu, Wen Xia and Yucheng Zhang, Wen Xia and Ran Kalach, Wen Xia and Yukun Zhou, Min Fu and Hong Jiang, Min Fu and Dan Feng, Min Fu and David Mazières, Min Fu and Mark Lillibridge, Min Fu and Yucheng Zhang, Min Fu and Ran Kalach, Min Fu and Yukun Zhou, Dan Feng and Suzhen Wu, Dan Feng and Hong Jiang, Dan Feng and Bo Mao, Dan Feng and Ion Stoica, Dan Feng and David Mazières, Dan Feng and Mark Lillibridge, Dan Feng and Yucheng Zhang, Dan Feng and Ran Kalach, Dan Feng and Yukun Zhou, Suzhen Wu and Hong Jiang, Suzhen Wu and Bo Mao, Suzhen Wu and Mark Lillibridge, Suzhen Wu and Ran Kalach, Hong Jiang and Bo Mao, Hong Jiang and Ion Stoica, Hong Jiang and David Mazières, Hong Jiang and Mark Lillibridge, Hong Jiang and Yucheng Zhang, Hong Jiang and Ran Kalach, Hong Jiang and Yukun Zhou, Bo Mao and Mark Lillibridge, Bo Mao and Ran Kalach, Yukun Zhou and Yucheng Zhang, Yukun Zhou and David Mazières, Yukun Zhou and Mark Lillibridge, Yukun Zhou and Ran Kalach, Ion Stoica and David Mazières, Ion Stoica and Mark Lillibridge, Mark Lillibridge and David Mazières, Mark Lillibridge and Yucheng Zhang, Yucheng Zhang and David Mazières, Yucheng Zhang and Ran Kalach.\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\nProblem to Solve\n\n- Authors in the network: Athman Bouguettaya, Antonis C. Kakas, Massimo Paolucci, Michael Fisher, Katia P. Sycara, Laura Giordano, Marco Alberti, Paola Mello, Paolo Torroni, Chiaki Sakama, Ulrich Endriss, Federico Chesani, Paolo Mancarella, Elisa Marengo\n- Research collaborations between these authors: Athman Bouguettaya and Katia P. Sycara, Athman Bouguettaya and Massimo Paolucci, Antonis C. Kakas and Marco Alberti, Antonis C. Kakas and Paola Mello, Antonis C. Kakas and Paolo Torroni, Antonis C. Kakas and Federico Chesani, Antonis C. Kakas and Chiaki Sakama, Antonis C. Kakas and Paolo Mancarella, Antonis C. Kakas and Ulrich Endriss, Antonis C. Kakas and Michael Fisher, Massimo Paolucci and Paola Mello, Massimo Paolucci and Paolo Torroni, Massimo Paolucci and Federico Chesani, Massimo Paolucci and Katia P. Sycara, Michael Fisher and Marco Alberti, Michael Fisher and Paola Mello, Michael Fisher and Paolo Torroni, Michael Fisher and Federico Chesani, Michael Fisher and Laura Giordano, Katia P. Sycara and Paola Mello, Katia P. Sycara and Paolo Torroni, Katia P. Sycara and Federico Chesani, Laura Giordano and Paolo Torroni, Laura Giordano and Marco Alberti, Laura Giordano and Paola Mello, Laura Giordano and Federico Chesani, Laura Giordano and Elisa Marengo, Marco Alberti and Paola Mello, Marco Alberti and Paolo Torroni, Marco Alberti and Federico Chesani, Marco Alberti and Chiaki Sakama, Marco Alberti and Paolo Mancarella, Marco Alberti and Ulrich Endriss, Paola Mello and Paolo Torroni, Paola Mello and Federico Chesani, Paola Mello and Chiaki Sakama, Paola Mello and Paolo Mancarella, Paola Mello and Elisa Marengo, Paola Mello and Ulrich Endriss, Paolo Torroni and Federico Chesani, Paolo Torroni and Chiaki Sakama, Paolo Torroni and Paolo Mancarella, Paolo Torroni and Elisa Marengo, Paolo Torroni and Ulrich Endriss, Chiaki Sakama and Federico Chesani, Ulrich Endriss and Federico Chesani, Ulrich Endriss and Paolo Mancarella, Federico Chesani and Paolo Mancarella, Federico Chesani and Elisa Marengo.\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\": \"Athman Bouguettaya\", \"id\": 45830}, {\"name\": \"Massimo Paolucci\", \"id\": 60008}, {\"name\": \"Michael Fisher\", \"id\": 37161}, {\"name\": \"Ulrich Endriss\", \"id\": 224856}, {\"name\": \"Katia P. Sycara\", \"id\": 22957}, {\"name\": \"Laura Giordano\", \"id\": 33967}, {\"name\": \"Marco Alberti\", \"id\": 977}, {\"name\": \"Paola Mello\", \"id\": 980}, {\"name\": \"Paolo Torroni\", \"id\": 981}, {\"name\": \"Chiaki Sakama\", \"id\": 6229}, {\"name\": \"Antonis C. Kakas\", \"id\": 12728}, {\"name\": \"Federico Chesani\", \"id\": 3995}, {\"name\": \"Paolo Mancarella\", \"id\": 87262}, {\"name\": \"Elisa Marengo\", \"id\": 87615}], \"links\": [{\"source\": 45830, \"target\": 22957}, {\"source\": 45830, \"target\": 60008}, {\"source\": 60008, \"target\": 980}, {\"source\": 60008, \"target\": 981}, {\"source\": 60008, \"target\": 3995}, {\"source\": 60008, \"target\": 22957}, {\"source\": 37161, \"target\": 977}, {\"source\": 37161, \"target\": 980}, {\"source\": 37161, \"target\": 981}, {\"source\": 37161, \"target\": 3995}, {\"source\": 37161, \"target\": 33967}, {\"source\": 37161, \"target\": 12728}, {\"source\": 224856, \"target\": 977}, {\"source\": 224856, \"target\": 980}, {\"source\": 224856, \"target\": 981}, {\"source\": 224856, \"target\": 3995}, {\"source\": 224856, \"target\": 12728}, {\"source\": 224856, \"target\": 87262}, {\"source\": 22957, \"target\": 980}, {\"source\": 22957, \"target\": 981}, {\"source\": 22957, \"target\": 3995}, {\"source\": 33967, \"target\": 981}, {\"source\": 33967, \"target\": 977}, {\"source\": 33967, \"target\": 980}, {\"source\": 33967, \"target\": 3995}, {\"source\": 33967, \"target\": 87615}, {\"source\": 977, \"target\": 980}, {\"source\": 977, \"target\": 981}, {\"source\": 977, \"target\": 3995}, {\"source\": 977, \"target\": 6229}, {\"source\": 977, \"target\": 12728}, {\"source\": 977, \"target\": 87262}, {\"source\": 980, \"target\": 981}, {\"source\": 980, \"target\": 3995}, {\"source\": 980, \"target\": 6229}, {\"source\": 980, \"target\": 12728}, {\"source\": 980, \"target\": 87262}, {\"source\": 980, \"target\": 87615}, {\"source\": 981, \"target\": 3995}, {\"source\": 981, \"target\": 6229}, {\"source\": 981, \"target\": 12728}, {\"source\": 981, \"target\": 87262}, {\"source\": 981, \"target\": 87615}, {\"source\": 6229, \"target\": 3995}, {\"source\": 6229, \"target\": 12728}, {\"source\": 12728, \"target\": 3995}, {\"source\": 12728, \"target\": 87262}, {\"source\": 3995, \"target\": 87262}, {\"source\": 3995, \"target\": 87615}]}", "id": 1278, "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\nProblem to Solve\n\n- Authors in the network: Athman Bouguettaya, Antonis C. Kakas, Massimo Paolucci, Michael Fisher, Katia P. Sycara, Laura Giordano, Marco Alberti, Paola Mello, Paolo Torroni, Chiaki Sakama, Ulrich Endriss, Federico Chesani, Paolo Mancarella, Elisa Marengo\n- Research collaborations between these authors: Athman Bouguettaya and Katia P. Sycara, Athman Bouguettaya and Massimo Paolucci, Antonis C. Kakas and Marco Alberti, Antonis C. Kakas and Paola Mello, Antonis C. Kakas and Paolo Torroni, Antonis C. Kakas and Federico Chesani, Antonis C. Kakas and Chiaki Sakama, Antonis C. Kakas and Paolo Mancarella, Antonis C. Kakas and Ulrich Endriss, Antonis C. Kakas and Michael Fisher, Massimo Paolucci and Paola Mello, Massimo Paolucci and Paolo Torroni, Massimo Paolucci and Federico Chesani, Massimo Paolucci and Katia P. Sycara, Michael Fisher and Marco Alberti, Michael Fisher and Paola Mello, Michael Fisher and Paolo Torroni, Michael Fisher and Federico Chesani, Michael Fisher and Laura Giordano, Katia P. Sycara and Paola Mello, Katia P. Sycara and Paolo Torroni, Katia P. Sycara and Federico Chesani, Laura Giordano and Paolo Torroni, Laura Giordano and Marco Alberti, Laura Giordano and Paola Mello, Laura Giordano and Federico Chesani, Laura Giordano and Elisa Marengo, Marco Alberti and Paola Mello, Marco Alberti and Paolo Torroni, Marco Alberti and Federico Chesani, Marco Alberti and Chiaki Sakama, Marco Alberti and Paolo Mancarella, Marco Alberti and Ulrich Endriss, Paola Mello and Paolo Torroni, Paola Mello and Federico Chesani, Paola Mello and Chiaki Sakama, Paola Mello and Paolo Mancarella, Paola Mello and Elisa Marengo, Paola Mello and Ulrich Endriss, Paolo Torroni and Federico Chesani, Paolo Torroni and Chiaki Sakama, Paolo Torroni and Paolo Mancarella, Paolo Torroni and Elisa Marengo, Paolo Torroni and Ulrich Endriss, Chiaki Sakama and Federico Chesani, Ulrich Endriss and Federico Chesani, Ulrich Endriss and Paolo Mancarella, Federico Chesani and Paolo Mancarella, Federico Chesani and Elisa Marengo.\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\nProblem to Solve\n\n- Authors in the network: Zubair Mohammad, Scott Klasky, Michael A. Langston, Roger L. Haskin, Nitesh V. Chawla, Robert Latham, William Hendrix, Daniel F. Martin, Valerio Pascucci, Yekaterina Shpanskaya, Garth A. Gibson, Walter B. Ligon, Nagiza F. Samatova, Tijana Milenkovic\n- Research collaborations between these authors: Zubair Mohammad and Nagiza F. Samatova, Scott Klasky and Valerio Pascucci, Scott Klasky and Garth A. Gibson, Scott Klasky and Nagiza F. Samatova, Scott Klasky and Robert Latham, Scott Klasky and Roger L. Haskin, Scott Klasky and Walter B. Ligon, Scott Klasky and Daniel F. Martin, Michael A. Langston and Nagiza F. Samatova, Roger L. Haskin and Garth A. Gibson, Roger L. Haskin and Nagiza F. Samatova, Roger L. Haskin and Robert Latham, Nitesh V. Chawla and Nagiza F. Samatova, Nitesh V. Chawla and Tijana Milenkovic, Nitesh V. Chawla and William Hendrix, Robert Latham and Valerio Pascucci, Robert Latham and Garth A. Gibson, Robert Latham and Nagiza F. Samatova, Robert Latham and Walter B. Ligon, William Hendrix and Nagiza F. Samatova, Daniel F. Martin and Nagiza F. Samatova, Valerio Pascucci and Nagiza F. Samatova, Yekaterina Shpanskaya and Nagiza F. Samatova, Garth A. Gibson and Walter B. Ligon, Garth A. Gibson and Nagiza F. Samatova, Walter B. Ligon and Nagiza F. Samatova.\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\": \"Zubair Mohammad\", \"id\": 783873}, {\"name\": \"Scott Klasky\", \"id\": 34340}, {\"name\": \"Michael A. Langston\", \"id\": 8203}, {\"name\": \"Roger L. Haskin\", \"id\": 245901}, {\"name\": \"Nitesh V. Chawla\", \"id\": 47311}, {\"name\": \"Robert Latham\", \"id\": 101008}, {\"name\": \"William Hendrix\", \"id\": 329747}, {\"name\": \"Daniel F. Martin\", \"id\": 353492}, {\"name\": \"Valerio Pascucci\", \"id\": 7027}, {\"name\": \"Yekaterina Shpanskaya\", \"id\": 523028}, {\"name\": \"Garth A. Gibson\", \"id\": 13848}, {\"name\": \"Walter B. Ligon\", \"id\": 289562}, {\"name\": \"Nagiza F. Samatova\", \"id\": 37788}, {\"name\": \"Tijana Milenkovic\", \"id\": 89981}], \"links\": [{\"source\": 783873, \"target\": 37788}, {\"source\": 34340, \"target\": 7027}, {\"source\": 34340, \"target\": 13848}, {\"source\": 34340, \"target\": 37788}, {\"source\": 34340, \"target\": 101008}, {\"source\": 34340, \"target\": 245901}, {\"source\": 34340, \"target\": 289562}, {\"source\": 34340, \"target\": 353492}, {\"source\": 8203, \"target\": 37788}, {\"source\": 245901, \"target\": 13848}, {\"source\": 245901, \"target\": 37788}, {\"source\": 245901, \"target\": 101008}, {\"source\": 47311, \"target\": 37788}, {\"source\": 47311, \"target\": 89981}, {\"source\": 47311, \"target\": 329747}, {\"source\": 101008, \"target\": 7027}, {\"source\": 101008, \"target\": 13848}, {\"source\": 101008, \"target\": 37788}, {\"source\": 101008, \"target\": 289562}, {\"source\": 329747, \"target\": 37788}, {\"source\": 353492, \"target\": 37788}, {\"source\": 7027, \"target\": 37788}, {\"source\": 523028, \"target\": 37788}, {\"source\": 13848, \"target\": 289562}, {\"source\": 13848, \"target\": 37788}, {\"source\": 289562, \"target\": 37788}]}", "id": 1296, "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\nProblem to Solve\n\n- Authors in the network: Zubair Mohammad, Scott Klasky, Michael A. Langston, Roger L. Haskin, Nitesh V. Chawla, Robert Latham, William Hendrix, Daniel F. Martin, Valerio Pascucci, Yekaterina Shpanskaya, Garth A. Gibson, Walter B. Ligon, Nagiza F. Samatova, Tijana Milenkovic\n- Research collaborations between these authors: Zubair Mohammad and Nagiza F. Samatova, Scott Klasky and Valerio Pascucci, Scott Klasky and Garth A. Gibson, Scott Klasky and Nagiza F. Samatova, Scott Klasky and Robert Latham, Scott Klasky and Roger L. Haskin, Scott Klasky and Walter B. Ligon, Scott Klasky and Daniel F. Martin, Michael A. Langston and Nagiza F. Samatova, Roger L. Haskin and Garth A. Gibson, Roger L. Haskin and Nagiza F. Samatova, Roger L. Haskin and Robert Latham, Nitesh V. Chawla and Nagiza F. Samatova, Nitesh V. Chawla and Tijana Milenkovic, Nitesh V. Chawla and William Hendrix, Robert Latham and Valerio Pascucci, Robert Latham and Garth A. Gibson, Robert Latham and Nagiza F. Samatova, Robert Latham and Walter B. Ligon, William Hendrix and Nagiza F. Samatova, Daniel F. Martin and Nagiza F. Samatova, Valerio Pascucci and Nagiza F. Samatova, Yekaterina Shpanskaya and Nagiza F. Samatova, Garth A. Gibson and Walter B. Ligon, Garth A. Gibson and Nagiza F. Samatova, Walter B. Ligon and Nagiza F. Samatova.\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\nProblem to Solve\n\n- Authors in the network: Pascal Hitzler, Jan Mendling, Henrik Leopold, Wil M. P. van der Aalst, Ingo Weber, Krzysztof Kaczor, Krzysztof Kluza, Tim Finin, Szymon Bobek, Robert E. McGrath, Antoni Lige¸za, Olga De Troyer, Grzegorz J. Nalepa, Anupam Joshi\n- Research collaborations between these authors: Pascal Hitzler and Tim Finin, Pascal Hitzler and Grzegorz J. Nalepa, Jan Mendling and Wil M. P. van der Aalst, Jan Mendling and Henrik Leopold, Jan Mendling and Ingo Weber, Jan Mendling and Grzegorz J. Nalepa, Jan Mendling and Krzysztof Kluza, Jan Mendling and Szymon Bobek, Henrik Leopold and Wil M. P. van der Aalst, Henrik Leopold and Ingo Weber, Henrik Leopold and Grzegorz J. Nalepa, Henrik Leopold and Krzysztof Kluza, Henrik Leopold and Szymon Bobek, Wil M. P. van der Aalst and Ingo Weber, Wil M. P. van der Aalst and Grzegorz J. Nalepa, Wil M. P. van der Aalst and Krzysztof Kluza, Ingo Weber and Grzegorz J. Nalepa, Ingo Weber and Krzysztof Kluza, Krzysztof Kaczor and Grzegorz J. Nalepa, Krzysztof Kaczor and Krzysztof Kluza, Krzysztof Kaczor and Szymon Bobek, Krzysztof Kluza and Grzegorz J. Nalepa, Krzysztof Kluza and Szymon Bobek, Tim Finin and Anupam Joshi, Tim Finin and Grzegorz J. Nalepa, Tim Finin and Szymon Bobek, Szymon Bobek and Grzegorz J. Nalepa, Szymon Bobek and Olga De Troyer, Szymon Bobek and Anupam Joshi, Szymon Bobek and Robert E. McGrath, Robert E. McGrath and Grzegorz J. Nalepa, Antoni Lige¸za and Grzegorz J. Nalepa, Olga De Troyer and Grzegorz J. Nalepa, Grzegorz J. Nalepa and Anupam Joshi.\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\": \"Pascal Hitzler\", \"id\": 20805}, {\"name\": \"Jan Mendling\", \"id\": 583}, {\"name\": \"Henrik Leopold\", \"id\": 4233}, {\"name\": \"Ingo Weber\", \"id\": 35327}, {\"name\": \"Krzysztof Kaczor\", \"id\": 59790}, {\"name\": \"Krzysztof Kluza\", \"id\": 40271}, {\"name\": \"Tim Finin\", \"id\": 18321}, {\"name\": \"Szymon Bobek\", \"id\": 74388}, {\"name\": \"Robert E. McGrath\", \"id\": 229461}, {\"name\": \"Anupam Joshi\", \"id\": 33663}, {\"name\": \"Antoni Lige\\u00b8za\", \"id\": 721625}, {\"name\": \"Olga De Troyer\", \"id\": 765}, {\"name\": \"Grzegorz J. Nalepa\", \"id\": 34078}, {\"name\": \"Wil M. P. van der Aalst\", \"id\": 2495}], \"links\": [{\"source\": 20805, \"target\": 18321}, {\"source\": 20805, \"target\": 34078}, {\"source\": 583, \"target\": 2495}, {\"source\": 583, \"target\": 4233}, {\"source\": 583, \"target\": 35327}, {\"source\": 583, \"target\": 34078}, {\"source\": 583, \"target\": 40271}, {\"source\": 583, \"target\": 74388}, {\"source\": 4233, \"target\": 2495}, {\"source\": 4233, \"target\": 35327}, {\"source\": 4233, \"target\": 34078}, {\"source\": 4233, \"target\": 40271}, {\"source\": 4233, \"target\": 74388}, {\"source\": 35327, \"target\": 2495}, {\"source\": 35327, \"target\": 34078}, {\"source\": 35327, \"target\": 40271}, {\"source\": 59790, \"target\": 34078}, {\"source\": 59790, \"target\": 40271}, {\"source\": 59790, \"target\": 74388}, {\"source\": 40271, \"target\": 34078}, {\"source\": 40271, \"target\": 2495}, {\"source\": 40271, \"target\": 74388}, {\"source\": 18321, \"target\": 33663}, {\"source\": 18321, \"target\": 34078}, {\"source\": 18321, \"target\": 74388}, {\"source\": 74388, \"target\": 34078}, {\"source\": 74388, \"target\": 765}, {\"source\": 74388, \"target\": 33663}, {\"source\": 74388, \"target\": 229461}, {\"source\": 229461, \"target\": 34078}, {\"source\": 33663, \"target\": 34078}, {\"source\": 721625, \"target\": 34078}, {\"source\": 765, \"target\": 34078}, {\"source\": 34078, \"target\": 2495}]}", "id": 1198, "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\nProblem to Solve\n\n- Authors in the network: Pascal Hitzler, Jan Mendling, Henrik Leopold, Wil M. P. van der Aalst, Ingo Weber, Krzysztof Kaczor, Krzysztof Kluza, Tim Finin, Szymon Bobek, Robert E. McGrath, Antoni Lige¸za, Olga De Troyer, Grzegorz J. Nalepa, Anupam Joshi\n- Research collaborations between these authors: Pascal Hitzler and Tim Finin, Pascal Hitzler and Grzegorz J. Nalepa, Jan Mendling and Wil M. P. van der Aalst, Jan Mendling and Henrik Leopold, Jan Mendling and Ingo Weber, Jan Mendling and Grzegorz J. Nalepa, Jan Mendling and Krzysztof Kluza, Jan Mendling and Szymon Bobek, Henrik Leopold and Wil M. P. van der Aalst, Henrik Leopold and Ingo Weber, Henrik Leopold and Grzegorz J. Nalepa, Henrik Leopold and Krzysztof Kluza, Henrik Leopold and Szymon Bobek, Wil M. P. van der Aalst and Ingo Weber, Wil M. P. van der Aalst and Grzegorz J. Nalepa, Wil M. P. van der Aalst and Krzysztof Kluza, Ingo Weber and Grzegorz J. Nalepa, Ingo Weber and Krzysztof Kluza, Krzysztof Kaczor and Grzegorz J. Nalepa, Krzysztof Kaczor and Krzysztof Kluza, Krzysztof Kaczor and Szymon Bobek, Krzysztof Kluza and Grzegorz J. Nalepa, Krzysztof Kluza and Szymon Bobek, Tim Finin and Anupam Joshi, Tim Finin and Grzegorz J. Nalepa, Tim Finin and Szymon Bobek, Szymon Bobek and Grzegorz J. Nalepa, Szymon Bobek and Olga De Troyer, Szymon Bobek and Anupam Joshi, Szymon Bobek and Robert E. McGrath, Robert E. McGrath and Grzegorz J. Nalepa, Antoni Lige¸za and Grzegorz J. Nalepa, Olga De Troyer and Grzegorz J. Nalepa, Grzegorz J. Nalepa and Anupam Joshi.\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\nProblem to Solve\n\n- Authors in the network: Michael Z. Q. Chen, Maša Dukarić, Isaac A. García, Guanrong Chen, Adriana Buică, Jaume Giné, Alessandra Gragnani, Brigita Ferčec, Valery G. Romanovski, Jaume Gine, Maite Grau, Jaume Llibre, Carlos Sánchez-López, Enrique Ponce\n- Research collaborations between these authors: Michael Z. Q. Chen and Guanrong Chen, Maša Dukarić and Valery G. Romanovski, Isaac A. García and Jaume Giné, Guanrong Chen and Jaume Llibre, Guanrong Chen and Carlos Sánchez-López, Adriana Buică and Jaume Llibre, Jaume Giné and Brigita Ferčec, Jaume Giné and Valery G. Romanovski, Jaume Giné and Maite Grau, Jaume Giné and Jaume Gine, Jaume Giné and Jaume Llibre, Alessandra Gragnani and Enrique Ponce, Brigita Ferčec and Valery G. Romanovski, Jaume Llibre and Enrique 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": 3, "style": "rule" }	{ "exact_answer": 3, "graph": "{\"directed\": false, \"multigraph\": false, \"graph\": {}, \"nodes\": [{\"name\": \"Michael Z. Q. Chen\", \"id\": 393889}, {\"name\": \"Ma\\u0161a Dukari\\u0107\", \"id\": 700578}, {\"name\": \"Isaac A. Garc\\u00eda\", \"id\": 588997}, {\"name\": \"Guanrong Chen\", \"id\": 68359}, {\"name\": \"Adriana Buic\\u0103\", \"id\": 526607}, {\"name\": \"Jaume Gin\\u00e9\", \"id\": 174481}, {\"name\": \"Alessandra Gragnani\", \"id\": 604467}, {\"name\": \"Brigita Fer\\u010dec\", \"id\": 168692}, {\"name\": \"Valery G. Romanovski\", \"id\": 174484}, {\"name\": \"Jaume Gine\", \"id\": 739060}, {\"name\": \"Maite Grau\", \"id\": 480663}, {\"name\": \"Jaume Llibre\", \"id\": 212408}, {\"name\": \"Carlos S\\u00e1nchez-L\\u00f3pez\", \"id\": 310077}, {\"name\": \"Enrique Ponce\", \"id\": 356479}], \"links\": [{\"source\": 393889, \"target\": 68359}, {\"source\": 700578, \"target\": 174484}, {\"source\": 588997, \"target\": 174481}, {\"source\": 68359, \"target\": 212408}, {\"source\": 68359, \"target\": 310077}, {\"source\": 526607, \"target\": 212408}, {\"source\": 174481, \"target\": 168692}, {\"source\": 174481, \"target\": 174484}, {\"source\": 174481, \"target\": 480663}, {\"source\": 174481, \"target\": 739060}, {\"source\": 174481, \"target\": 212408}, {\"source\": 604467, \"target\": 356479}, {\"source\": 168692, \"target\": 174484}, {\"source\": 212408, \"target\": 356479}]}", "id": 2200, "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\nProblem to Solve\n\n- Authors in the network: Michael Z. Q. Chen, Maša Dukarić, Isaac A. García, Guanrong Chen, Adriana Buică, Jaume Giné, Alessandra Gragnani, Brigita Ferčec, Valery G. Romanovski, Jaume Gine, Maite Grau, Jaume Llibre, Carlos Sánchez-López, Enrique Ponce\n- Research collaborations between these authors: Michael Z. Q. Chen and Guanrong Chen, Maša Dukarić and Valery G. Romanovski, Isaac A. García and Jaume Giné, Guanrong Chen and Jaume Llibre, Guanrong Chen and Carlos Sánchez-López, Adriana Buică and Jaume Llibre, Jaume Giné and Brigita Ferčec, Jaume Giné and Valery G. Romanovski, Jaume Giné and Maite Grau, Jaume Giné and Jaume Gine, Jaume Giné and Jaume Llibre, Alessandra Gragnani and Enrique Ponce, Brigita Ferčec and Valery G. Romanovski, Jaume Llibre and Enrique 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\nProblem to Solve\n\n- Authors in the network: Bijan Parsia, Heshan Du, Christian Meilicke, Evren Sirin, Natasha Alechina, Frank Wolter, Michael Zakharyaschev, Aditya Kalyanpur, Ernesto Jiménez-Ruiz, Heiner Stuckenschmidt, Yarden Katz, Mike Jackson, Bernardo Cuenca Grau, Glen Hart\n- Research collaborations between these authors: Bijan Parsia and Heiner Stuckenschmidt, Bijan Parsia and Natasha Alechina, Bijan Parsia and Frank Wolter, Bijan Parsia and Michael Zakharyaschev, Bijan Parsia and Bernardo Cuenca Grau, Bijan Parsia and Aditya Kalyanpur, Bijan Parsia and Evren Sirin, Bijan Parsia and Mike Jackson, Bijan Parsia and Yarden Katz, Bijan Parsia and Ernesto Jiménez-Ruiz, Bijan Parsia and Christian Meilicke, Bijan Parsia and Glen Hart, Bijan Parsia and Heshan Du, Heshan Du and Natasha Alechina, Heshan Du and Mike Jackson, Heshan Du and Heiner Stuckenschmidt, Heshan Du and Frank Wolter, Heshan Du and Michael Zakharyaschev, Heshan Du and Bernardo Cuenca Grau, Heshan Du and Aditya Kalyanpur, Heshan Du and Evren Sirin, Heshan Du and Ernesto Jiménez-Ruiz, Heshan Du and Christian Meilicke, Heshan Du and Yarden Katz, Heshan Du and Glen Hart, Christian Meilicke and Heiner Stuckenschmidt, Christian Meilicke and Natasha Alechina, Christian Meilicke and Bernardo Cuenca Grau, Christian Meilicke and Mike Jackson, Christian Meilicke and Ernesto Jiménez-Ruiz, Christian Meilicke and Aditya Kalyanpur, Christian Meilicke and Evren Sirin, Christian Meilicke and Yarden Katz, Christian Meilicke and Glen Hart, Evren Sirin and Heiner Stuckenschmidt, Evren Sirin and Natasha Alechina, Evren Sirin and Frank Wolter, Evren Sirin and Michael Zakharyaschev, Evren Sirin and Bernardo Cuenca Grau, Evren Sirin and Aditya Kalyanpur, Evren Sirin and Mike Jackson, Evren Sirin and Ernesto Jiménez-Ruiz, Evren Sirin and Yarden Katz, Evren Sirin and Glen Hart, Natasha Alechina and Heiner Stuckenschmidt, Natasha Alechina and Frank Wolter, Natasha Alechina and Michael Zakharyaschev, Natasha Alechina and Bernardo Cuenca Grau, Natasha Alechina and Aditya Kalyanpur, Natasha Alechina and Mike Jackson, Natasha Alechina and Ernesto Jiménez-Ruiz, Natasha Alechina and Yarden Katz, Natasha Alechina and Glen Hart, Frank Wolter and Heiner Stuckenschmidt, Frank Wolter and Michael Zakharyaschev, Frank Wolter and Bernardo Cuenca Grau, Frank Wolter and Aditya Kalyanpur, Frank Wolter and Ernesto Jiménez-Ruiz, Michael Zakharyaschev and Bernardo Cuenca Grau, Michael Zakharyaschev and Aditya Kalyanpur, Michael Zakharyaschev and Ernesto Jiménez-Ruiz, Aditya Kalyanpur and Heiner Stuckenschmidt, Aditya Kalyanpur and Bernardo Cuenca Grau, Aditya Kalyanpur and Mike Jackson, Aditya Kalyanpur and Ernesto Jiménez-Ruiz, Aditya Kalyanpur and Yarden Katz, Aditya Kalyanpur and Glen Hart, Ernesto Jiménez-Ruiz and Heiner Stuckenschmidt, Ernesto Jiménez-Ruiz and Bernardo Cuenca Grau, Ernesto Jiménez-Ruiz and Mike Jackson, Ernesto Jiménez-Ruiz and Yarden Katz, Heiner Stuckenschmidt and Bernardo Cuenca Grau, Heiner Stuckenschmidt and Yarden Katz, Heiner Stuckenschmidt and Mike Jackson, Heiner Stuckenschmidt and Glen Hart, Yarden Katz and Bernardo Cuenca Grau, Yarden Katz and Mike Jackson, Mike Jackson and Bernardo Cuenca Grau, Mike Jackson and Glen Hart, Bernardo Cuenca Grau and Glen Hart.\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\": \"Bijan Parsia\", \"id\": 14179}, {\"name\": \"Heshan Du\", \"id\": 72837}, {\"name\": \"Christian Meilicke\", \"id\": 40262}, {\"name\": \"Evren Sirin\", \"id\": 3272}, {\"name\": \"Natasha Alechina\", \"id\": 1322}, {\"name\": \"Frank Wolter\", \"id\": 1355}, {\"name\": \"Michael Zakharyaschev\", \"id\": 1356}, {\"name\": \"Aditya Kalyanpur\", \"id\": 2413}, {\"name\": \"Ernesto Jim\\u00e9nez-Ruiz\", \"id\": 31469}, {\"name\": \"Yarden Katz\", \"id\": 51379}, {\"name\": \"Mike Jackson\", \"id\": 5845}, {\"name\": \"Heiner Stuckenschmidt\", \"id\": 633}, {\"name\": \"Bernardo Cuenca Grau\", \"id\": 1945}, {\"name\": \"Glen Hart\", \"id\": 52251}], \"links\": [{\"source\": 14179, \"target\": 633}, {\"source\": 14179, \"target\": 1322}, {\"source\": 14179, \"target\": 1355}, {\"source\": 14179, \"target\": 1356}, {\"source\": 14179, \"target\": 1945}, {\"source\": 14179, \"target\": 2413}, {\"source\": 14179, \"target\": 3272}, {\"source\": 14179, \"target\": 5845}, {\"source\": 14179, \"target\": 51379}, {\"source\": 14179, \"target\": 31469}, {\"source\": 14179, \"target\": 40262}, {\"source\": 14179, \"target\": 52251}, {\"source\": 14179, \"target\": 72837}, {\"source\": 72837, \"target\": 1322}, {\"source\": 72837, \"target\": 5845}, {\"source\": 72837, \"target\": 633}, {\"source\": 72837, \"target\": 1355}, {\"source\": 72837, \"target\": 1356}, {\"source\": 72837, \"target\": 1945}, {\"source\": 72837, \"target\": 2413}, {\"source\": 72837, \"target\": 3272}, {\"source\": 72837, \"target\": 31469}, {\"source\": 72837, \"target\": 40262}, {\"source\": 72837, \"target\": 51379}, {\"source\": 72837, \"target\": 52251}, {\"source\": 40262, \"target\": 633}, {\"source\": 40262, \"target\": 1322}, {\"source\": 40262, \"target\": 1945}, {\"source\": 40262, \"target\": 5845}, {\"source\": 40262, \"target\": 31469}, {\"source\": 40262, \"target\": 2413}, {\"source\": 40262, \"target\": 3272}, {\"source\": 40262, \"target\": 51379}, {\"source\": 40262, \"target\": 52251}, {\"source\": 3272, \"target\": 633}, {\"source\": 3272, \"target\": 1322}, {\"source\": 3272, \"target\": 1355}, {\"source\": 3272, \"target\": 1356}, {\"source\": 3272, \"target\": 1945}, {\"source\": 3272, \"target\": 2413}, {\"source\": 3272, \"target\": 5845}, {\"source\": 3272, \"target\": 31469}, {\"source\": 3272, \"target\": 51379}, {\"source\": 3272, \"target\": 52251}, {\"source\": 1322, \"target\": 633}, {\"source\": 1322, \"target\": 1355}, {\"source\": 1322, \"target\": 1356}, {\"source\": 1322, \"target\": 1945}, {\"source\": 1322, \"target\": 2413}, {\"source\": 1322, \"target\": 5845}, {\"source\": 1322, \"target\": 31469}, {\"source\": 1322, \"target\": 51379}, {\"source\": 1322, \"target\": 52251}, {\"source\": 1355, \"target\": 633}, {\"source\": 1355, \"target\": 1356}, {\"source\": 1355, \"target\": 1945}, {\"source\": 1355, \"target\": 2413}, {\"source\": 1355, \"target\": 31469}, {\"source\": 1356, \"target\": 1945}, {\"source\": 1356, \"target\": 2413}, {\"source\": 1356, \"target\": 31469}, {\"source\": 2413, \"target\": 633}, {\"source\": 2413, \"target\": 1945}, {\"source\": 2413, \"target\": 5845}, {\"source\": 2413, \"target\": 31469}, {\"source\": 2413, \"target\": 51379}, {\"source\": 2413, \"target\": 52251}, {\"source\": 31469, \"target\": 633}, {\"source\": 31469, \"target\": 1945}, {\"source\": 31469, \"target\": 5845}, {\"source\": 31469, \"target\": 51379}, {\"source\": 51379, \"target\": 633}, {\"source\": 51379, \"target\": 1945}, {\"source\": 51379, \"target\": 5845}, {\"source\": 5845, \"target\": 633}, {\"source\": 5845, \"target\": 1945}, {\"source\": 5845, \"target\": 52251}, {\"source\": 633, \"target\": 1945}, {\"source\": 633, \"target\": 52251}, {\"source\": 1945, \"target\": 52251}]}", "id": 1574, "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\nProblem to Solve\n\n- Authors in the network: Bijan Parsia, Heshan Du, Christian Meilicke, Evren Sirin, Natasha Alechina, Frank Wolter, Michael Zakharyaschev, Aditya Kalyanpur, Ernesto Jiménez-Ruiz, Heiner Stuckenschmidt, Yarden Katz, Mike Jackson, Bernardo Cuenca Grau, Glen Hart\n- Research collaborations between these authors: Bijan Parsia and Heiner Stuckenschmidt, Bijan Parsia and Natasha Alechina, Bijan Parsia and Frank Wolter, Bijan Parsia and Michael Zakharyaschev, Bijan Parsia and Bernardo Cuenca Grau, Bijan Parsia and Aditya Kalyanpur, Bijan Parsia and Evren Sirin, Bijan Parsia and Mike Jackson, Bijan Parsia and Yarden Katz, Bijan Parsia and Ernesto Jiménez-Ruiz, Bijan Parsia and Christian Meilicke, Bijan Parsia and Glen Hart, Bijan Parsia and Heshan Du, Heshan Du and Natasha Alechina, Heshan Du and Mike Jackson, Heshan Du and Heiner Stuckenschmidt, Heshan Du and Frank Wolter, Heshan Du and Michael Zakharyaschev, Heshan Du and Bernardo Cuenca Grau, Heshan Du and Aditya Kalyanpur, Heshan Du and Evren Sirin, Heshan Du and Ernesto Jiménez-Ruiz, Heshan Du and Christian Meilicke, Heshan Du and Yarden Katz, Heshan Du and Glen Hart, Christian Meilicke and Heiner Stuckenschmidt, Christian Meilicke and Natasha Alechina, Christian Meilicke and Bernardo Cuenca Grau, Christian Meilicke and Mike Jackson, Christian Meilicke and Ernesto Jiménez-Ruiz, Christian Meilicke and Aditya Kalyanpur, Christian Meilicke and Evren Sirin, Christian Meilicke and Yarden Katz, Christian Meilicke and Glen Hart, Evren Sirin and Heiner Stuckenschmidt, Evren Sirin and Natasha Alechina, Evren Sirin and Frank Wolter, Evren Sirin and Michael Zakharyaschev, Evren Sirin and Bernardo Cuenca Grau, Evren Sirin and Aditya Kalyanpur, Evren Sirin and Mike Jackson, Evren Sirin and Ernesto Jiménez-Ruiz, Evren Sirin and Yarden Katz, Evren Sirin and Glen Hart, Natasha Alechina and Heiner Stuckenschmidt, Natasha Alechina and Frank Wolter, Natasha Alechina and Michael Zakharyaschev, Natasha Alechina and Bernardo Cuenca Grau, Natasha Alechina and Aditya Kalyanpur, Natasha Alechina and Mike Jackson, Natasha Alechina and Ernesto Jiménez-Ruiz, Natasha Alechina and Yarden Katz, Natasha Alechina and Glen Hart, Frank Wolter and Heiner Stuckenschmidt, Frank Wolter and Michael Zakharyaschev, Frank Wolter and Bernardo Cuenca Grau, Frank Wolter and Aditya Kalyanpur, Frank Wolter and Ernesto Jiménez-Ruiz, Michael Zakharyaschev and Bernardo Cuenca Grau, Michael Zakharyaschev and Aditya Kalyanpur, Michael Zakharyaschev and Ernesto Jiménez-Ruiz, Aditya Kalyanpur and Heiner Stuckenschmidt, Aditya Kalyanpur and Bernardo Cuenca Grau, Aditya Kalyanpur and Mike Jackson, Aditya Kalyanpur and Ernesto Jiménez-Ruiz, Aditya Kalyanpur and Yarden Katz, Aditya Kalyanpur and Glen Hart, Ernesto Jiménez-Ruiz and Heiner Stuckenschmidt, Ernesto Jiménez-Ruiz and Bernardo Cuenca Grau, Ernesto Jiménez-Ruiz and Mike Jackson, Ernesto Jiménez-Ruiz and Yarden Katz, Heiner Stuckenschmidt and Bernardo Cuenca Grau, Heiner Stuckenschmidt and Yarden Katz, Heiner Stuckenschmidt and Mike Jackson, Heiner Stuckenschmidt and Glen Hart, Yarden Katz and Bernardo Cuenca Grau, Yarden Katz and Mike Jackson, Mike Jackson and Bernardo Cuenca Grau, Mike Jackson and Glen Hart, Bernardo Cuenca Grau and Glen Hart.\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" }