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bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], \"S\": {\"0\": [9, 14, 10, 2], \"1\": [14, 16, 0, 9, 6, 11, 13], \"2\": [7], \"3\": [3, 13], \"4\": [16, 15, 13, 0, 10], \"5\": [9, 15, 6, 1, 5], \"6\": [13, 11], \"7\": [5, 14, 8, 1...
{ "generator_name": "easy", "index": 7, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 25, \"numbers\": {\"0\": 5, \"1\": 2, \"2\": 2, \"3\": 5, \"4\": 5, \"5\": 5, \"6\": 1}}, \"ground_truth\": 7}", "style": "rule" }
{ "generator_name": "easy", "index": 147, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 2], \"duration\": 30}, \"1\": {\"attendees\": [0, 1], \"duration\": 90}, \"2\": {\"attendees\": [0, 1], \"duration\": 60}, \"3\": {\"attendees\": [0, 1, 2], \"duration\": 90}, \"4\": {\"attendees\": [0, 1], \"dur...
{ "generator_name": "easy", "index": 68, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"S\": {\"0\": [8], \"1\": [8, 9, 10, 3], \"2\": [4, 0], \"3\": [7, 4, 2, 6], \"4\": [1, 9, 4, 8, 11, 5], \"5\": [1, 4]}}, \"ground_truth\": 4}", "style": "rule" }
{ "generator_name": "easy", "index": 181, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [1, 3, 4], \"duration\": 90}, \"1\": {\"attendees\": [1, 2, 4], \"duration\": 60}, \"2\": {\"attendees\": [1, 2, 4], \"duration\": 60}, \"3\": {\"attendees\": [1, 2, 3], \"duration\": 30}, \"4\": {\"attendees\": [1, 4],...
{ "generator_name": "easy", "index": 86, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpTsp
[ { "content": "'Introduction': 'You are a great expert solving TSP question. You should propose a solution to this question.', 'Task description': 'Given a set of cities and the distances between each pair of cities, the Traveling Salesman Problem (TSP) aims to find the shortest possible route that visits each c...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"0\": 0, \"1\": 63, \"2\": 46, \"3\": 46, \"4\": 55, \"5\": 95, \"6\": 11, \"7\": 34, \"8\": 72, \"9\": 80, \"10\": 82, \"11\": 23, \"12\": 16, \"13\": 92, \"14\": 88, \"15\": 16}, \"1\": {\"0\": 63, \"1\": 0, \"2\": 94, \"3\": 54, \"4\": 37, \"5\"...
{ "generator_name": "easy", "index": 108, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 10, \"numbers\": {\"0\": 4, \"1\": 1, \"2\": 1, \"3\": 1, \"4\": 3, \"5\": 4, \"6\": 1, \"7\": 4, \"8\": 2}}, \"ground_truth\": 4}", "style": "rule" }
{ "generator_name": "easy", "index": 47, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\", \"4\", \"6\", \"7\"], \"1\": [\"0\", \"3\", \"6\"], \"2\": [\"0\", \"3\", \"4\", \"7\"], \"3\": [\"1\", \"2\", \"4\", \"6\"], \"4\": [\"0\", \"2\", \"3\", \"6\", \"7\"], \"5\": [\"6\"], \"6\": [\"0\", \"1\", \"3\", \"4\", \"5\", \"7\"]...
{ "generator_name": "easy", "index": 183, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [], \"1\": [], \"2\": [], \"3\": [], \"4\": [], \"5\": [], \"6\": [], \"7\": [], \"8\": [], \"9\": [], \"10\": []}, \"ground_truth\": 1}", "style": "rule" }
{ "generator_name": "easy", "index": 203, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"1\": 1, \"9\": 1, \"10\": 1, \"6\": 1, \"3\": 1, \"15\": 1, \"7\": 1, \"5\": 1}, \"1\": {\"9\": 1, \"10\": 1, \"0\": 1, \"17\": 1, \"3\": 1, \"7\": 1, \"4\": 1, \"5\": 1}, \"2\": {\"16\": 1, \"12\": 1, \"10\": 1, \"19\": 1, \"4\": 1, \"18\": 1}, \...
{ "generator_name": "easy", "index": 91, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [3, 6, 9], \"1\": [6], \"2\": [], \"3\": [0, 5], \"4\": [9], \"5\": [3, 8], \"6\": [1, 0], \"7\": [], \"8\": [5], \"9\": [4, 0]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 18, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\", \"3\"], \"1\": [\"0\", \"2\", \"3\"], \"2\": [\"0\", \"1\", \"3\"], \"3\": [\"0\", \"1\", \"2\"]}, \"ground_truth\": 4}", "style": "rule" }
{ "generator_name": "easy", "index": 145, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"S\": {\"0\": [4], \"1\": [0, 5, 8, 3], \"2\": [5, 0, 8], \"3\": [4, 2, 3], \"4\": [8, 1, 2, 0], \"5\": [2, 1, 5, 3], \"6\": [3, 4, 6, 8], \"7\": [9, 4], \"8\": [4, 7, 1, 9], \"9\": [0]}}, \"ground_truth\": 4}", "st...
{ "generator_name": "easy", "index": 126, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [2, 3, 4, 9, 10, 11, 15], \"1\": [7, 14, 6, 10, 16], \"2\": [4, 0, 8, 13], \"3\": [0, 12, 5, 9, 14], \"4\": [5, 2, 0], \"5\": [13, 4, 3, 7], \"6\": [15, 16, 1, 12], \"7\": [12, 1, 5, 8, 15], \"8\": [9, 11, 2, 7, 10], \"9\": [14, 8, 0, 3, 13], \"10\":...
{ "generator_name": "easy", "index": 117, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"5\": 3, \"10\": 3, \"11\": 1, \"15\": 9, \"20\": 9, \"21\": 10, \"29\": 10, \"30\": 10, \"36\": 10, \"39\": 5, \"28\": 4, \"4\": 5, \"1\": 3}, \"1\": {\"16\": 2, \"6\": 1, \"2\": 10, \"3\": 10, \"4\": 8, \"5\": 9, \"8\": 9, \"9\": 9, \"10\": 10, \...
{ "generator_name": "easy", "index": 188, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"9\": 1, \"5\": 1, \"10\": 1, \"11\": 1}, \"1\": {\"9\": 1, \"5\": 1, \"8\": 1, \"10\": 1, \"11\": 1, \"7\": 1}, \"2\": {\"9\": 1, \"5\": 1, \"13\": 1, \"10\": 1}, \"3\": {\"4\": 1, \"8\": 1, \"13\": 1, \"11\": 1}, \"4\": {\"11\": 1, \"3\": 1, \"12...
{ "generator_name": "easy", "index": 116, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 3], \"duration\": 60}, \"1\": {\"attendees\": [0, 2], \"duration\": 90}, \"2\": {\"attendees\": [0, 1, 2], \"duration\": 60}, \"3\": {\"attendees\": [1, 3], \"duration\": 60}}, \"attendee_availability\": {\"0\": ...
{ "generator_name": "easy", "index": 182, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [1, 3], \"duration\": 90}, \"1\": {\"attendees\": [0, 1, 2], \"duration\": 30}, \"2\": {\"attendees\": [0, 1, 2], \"duration\": 90}, \"3\": {\"attendees\": [1, 3], \"duration\": 30}}, \"attendee_availability\": {\"0\": ...
{ "generator_name": "easy", "index": 122, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], \"S\": {\"0\": [7, 2], \"1\": [7, 8, 4], \"2\": [6, 7, 9], \"3\": [0], \"4\": [1, 4, 9, 3], \"5\": [7, 6, 1, 2, 5], \"6\": [0], \"7\": [0, 3], \"8\": [3, 1], \"9\": [8, 6, 9, 0]}}, \"ground_truth\": 3}", "style": "ru...
{ "generator_name": "easy", "index": 168, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"S\": {\"0\": [12, 2, 0], \"1\": [11, 1, 5, 0, 9, 10], \"2\": [12, 3], \"3\": [2, 0, 12], \"4\": [5], \"5\": [1], \"6\": [9, 5, 1, 8, 6], \"7\": [6], \"8\": [8, 4, 5, 7]}}, \"ground_truth\": 5}", "style"...
{ "generator_name": "easy", "index": 3, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [1, 3, 9], \"1\": [0, 10, 5], \"2\": [3], \"3\": [0, 10, 2], \"4\": [], \"5\": [1], \"6\": [], \"7\": [10], \"8\": [], \"9\": [0], \"10\": [7, 1, 3]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 124, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], \"S\": {\"0\": [10], \"1\": [2, 6, 4], \"2\": [9], \"3\": [1, 6, 3], \"4\": [7, 5], \"5\": [0], \"6\": [7, 4, 8]}}, \"ground_truth\": 7}", "style": "rule" }
{ "generator_name": "easy", "index": 107, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpTsp
[ { "content": "'Introduction': 'You are a great expert solving TSP question. You should propose a solution to this question.', 'Task description': 'Given a set of cities and the distances between each pair of cities, the Traveling Salesman Problem (TSP) aims to find the shortest possible route that visits each c...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"0\": 0, \"1\": 93, \"2\": 26, \"3\": 87, \"4\": 90, \"5\": 25, \"6\": 48, \"7\": 56, \"8\": 69, \"9\": 64, \"10\": 16, \"11\": 40, \"12\": 57, \"13\": 73, \"14\": 20}, \"1\": {\"0\": 93, \"1\": 0, \"2\": 43, \"3\": 51, \"4\": 53, \"5\": 45, \"6\":...
{ "generator_name": "easy", "index": 188, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], \"S\": {\"0\": [8, 9, 7, 12, 6], \"1\": [8, 4, 6, 3], \"2\": [13], \"3\": [10, 12, 8], \"4\": [9, 5, 4, 11, 8], \"5\": [9], \"6\": [4, 12, 8, 13, 0], \"7\": [7, 2, 1, 9]}}, \"ground_truth\": 5}", "sty...
{ "generator_name": "easy", "index": 119, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\"], \"1\": [\"0\", \"2\"], \"2\": [\"1\", \"4\"], \"3\": [\"4\"], \"4\": [\"2\", \"3\"]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 45, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 30, \"numbers\": {\"0\": 5, \"1\": 5, \"2\": 5, \"3\": 4, \"4\": 3, \"5\": 5, \"6\": 3, \"7\": 1, \"8\": 4}}, \"ground_truth\": 8}", "style": "rule" }
{ "generator_name": "easy", "index": 93, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [1], \"1\": [0, 2], \"2\": [7, 1, 4], \"3\": [], \"4\": [2, 9], \"5\": [8, 6], \"6\": [7, 5, 10], \"7\": [2, 6, 9], \"8\": [5], \"9\": [7, 4], \"10\": [6]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 144, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 4], \"duration\": 90}, \"1\": {\"attendees\": [0, 1, 3], \"duration\": 30}, \"2\": {\"attendees\": [2, 3, 4], \"duration\": 30}, \"3\": {\"attendees\": [1, 2, 4], \"duration\": 60}, \"4\": {\"attendees\": [0, 3],...
{ "generator_name": "easy", "index": 28, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpKnapsack
[ { "content": "'Introduction': 'You are a great expert solving knapsack question. You should propose a solution to this question.', 'Task description': \"The knapsack problem's goal is to choose a subset of items to pack into a limited-capacity bag in a way that maximizes total value without exceeding the weight...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"capacity\": 195, \"items\": {\"1\": {\"weight\": 16, \"value\": 37}, \"2\": {\"weight\": 23, \"value\": 53}, \"4\": {\"weight\": 10, \"value\": 21}, \"5\": {\"weight\": 25, \"value\": 47}, \"6\": {\"weight\": 16, \"value\": 39}, \"10\": {\"weight\": 21, \...
{ "generator_name": "easy", "index": 21, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [7, 6], \"1\": [5], \"2\": [7], \"3\": [], \"4\": [9, 6], \"5\": [1], \"6\": [0, 4, 7, 9], \"7\": [0, 2, 6], \"8\": [], \"9\": [4, 6], \"10\": []}, \"ground_truth\": 3}", "style": "rule" }
{ "generator_name": "easy", "index": 198, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 2], \"duration\": 60}, \"1\": {\"attendees\": [0, 2], \"duration\": 30}, \"2\": {\"attendees\": [0, 1, 2], \"duration\": 90}, \"3\": {\"attendees\": [0, 1], \"duration\": 60}, \"4\": {\"attendees\": [0, 1, 2], \"...
{ "generator_name": "easy", "index": 45, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 2, 4], \"duration\": 90}, \"1\": {\"attendees\": [0, 2, 4], \"duration\": 90}, \"2\": {\"attendees\": [2, 4], \"duration\": 60}, \"3\": {\"attendees\": [0, 3], \"duration\": 90}}, \"attendee_availability\": {\"0\": ...
{ "generator_name": "easy", "index": 35, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"22\": 1, \"3\": 8, \"4\": 8, \"5\": 9, \"7\": 9, \"8\": 10, \"9\": 10, \"11\": 10, \"13\": 8, \"1\": 4, \"15\": 5}, \"1\": {\"39\": 1, \"9\": 2, \"11\": 1, \"13\": 2, \"17\": 9, \"14\": 10, \"16\": 9, \"32\": 10, \"40\": 9, \"41\": 10, \"0\": 4, \...
{ "generator_name": "easy", "index": 15, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\", \"3\"], \"1\": [\"0\", \"2\", \"3\"], \"2\": [\"0\", \"1\", \"3\"], \"3\": [\"0\", \"1\", \"2\"]}, \"ground_truth\": 4}", "style": "rule" }
{ "generator_name": "easy", "index": 75, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"13\": 1, \"2\": 1, \"10\": 1, \"6\": 1, \"5\": 1, \"4\": 1, \"11\": 1, \"12\": 1, \"14\": 1}, \"1\": {\"7\": 1, \"13\": 1, \"2\": 1, \"10\": 1, \"6\": 1, \"8\": 1}, \"2\": {\"0\": 1, \"6\": 1, \"8\": 1, \"12\": 1, \"1\": 1, \"11\": 1}, \"3\": {\"7...
{ "generator_name": "easy", "index": 168, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"38\": 1, \"1\": 2, \"2\": 10, \"3\": 8, \"6\": 10, \"7\": 8, \"8\": 9, \"9\": 10, \"11\": 8, \"12\": 10, \"13\": 10, \"26\": 5, \"41\": 2, \"10\": 3, \"23\": 5}, \"1\": {\"0\": 2, \"3\": 2, \"26\": 9, \"14\": 10, \"16\": 10, \"35\": 9, \"38\": 9, ...
{ "generator_name": "easy", "index": 52, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"12\": 3, \"22\": 9, \"17\": 9, \"18\": 9, \"37\": 9, \"29\": 9, \"23\": 3, \"35\": 6}, \"1\": {\"11\": 2, \"3\": 8, \"4\": 9, \"5\": 10, \"7\": 9, \"8\": 10, \"9\": 9, \"10\": 8, \"12\": 9, \"13\": 10, \"33\": 4, \"38\": 3, \"24\": 6}, \"2\": {\"2...
{ "generator_name": "easy", "index": 163, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"3\", \"6\", \"7\"], \"1\": [\"3\", \"4\", \"5\", \"6\", \"7\"], \"2\": [\"4\"], \"3\": [\"0\", \"1\", \"4\", \"5\", \"6\", \"7\"], \"4\": [\"1\", \"2\", \"3\", \"6\"], \"5\": [\"1\", \"3\"], \"6\": [\"0\", \"1\", \"3\", \"4\", \"7\"], \"7\": [\"0\...
{ "generator_name": "easy", "index": 177, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"5\": 1, \"1\": 1, \"6\": 1, \"9\": 1}, \"1\": {\"0\": 1, \"3\": 1}, \"2\": {}, \"3\": {\"8\": 1, \"7\": 1, \"1\": 1, \"5\": 1, \"6\": 1, \"9\": 1, \"10\": 1, \"11\": 1}, \"4\": {\"8\": 1, \"7\": 1}, \"5\": {\"0\": 1, \"3\": 1}, \"6\": {\"0\": 1, \...
{ "generator_name": "easy", "index": 46, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 22, \"numbers\": {\"0\": 5, \"1\": 4, \"2\": 4, \"3\": 1, \"4\": 2, \"5\": 3, \"6\": 4, \"7\": 2, \"8\": 1}}, \"ground_truth\": 8}", "style": "rule" }
{ "generator_name": "easy", "index": 143, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"2\": 8, \"3\": 9, \"4\": 8, \"6\": 8, \"7\": 8, \"9\": 8, \"10\": 9, \"11\": 9, \"13\": 8}, \"1\": {\"3\": 3, \"10\": 1, \"24\": 9, \"14\": 9, \"17\": 10, \"34\": 9, \"36\": 10, \"37\": 3, \"27\": 1, \"28\": 1}, \"2\": {\"0\": 8, \"3\": 10, \"4\":...
{ "generator_name": "easy", "index": 69, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"2\", \"3\", \"4\"], \"1\": [\"3\", \"4\"], \"2\": [\"0\"], \"3\": [\"0\", \"1\", \"5\"], \"4\": [\"0\", \"1\"], \"5\": [\"3\"]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 202, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 21, \"numbers\": {\"0\": 1, \"1\": 5, \"2\": 3, \"3\": 2, \"4\": 4, \"5\": 5, \"6\": 1}}, \"ground_truth\": 7}", "style": "rule" }
{ "generator_name": "easy", "index": 110, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"S\": {\"0\": [8, 0, 11], \"1\": [0, 4, 10, 5, 2], \"2\": [7, 5, 8, 0], \"3\": [6, 3], \"4\": [1, 9]}}, \"ground_truth\": 5}", "style": "rule" }
{ "generator_name": "easy", "index": 57, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [], \"1\": [\"3\"], \"2\": [\"3\"], \"3\": [\"1\", \"2\", \"4\"], \"4\": [\"3\"]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 190, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 24, \"numbers\": {\"0\": 5, \"1\": 3, \"2\": 3, \"3\": 3, \"4\": 5, \"5\": 5}}, \"ground_truth\": 6}", "style": "rule" }
{ "generator_name": "easy", "index": 36, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 22, \"numbers\": {\"0\": 4, \"1\": 5, \"2\": 3, \"3\": 5, \"4\": 4, \"5\": 2, \"6\": 1}}, \"ground_truth\": 6}", "style": "rule" }
{ "generator_name": "easy", "index": 137, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 2], \"duration\": 90}, \"1\": {\"attendees\": [2, 3], \"duration\": 90}, \"2\": {\"attendees\": [0, 1, 4], \"duration\": 30}, \"3\": {\"attendees\": [0, 2], \"duration\": 30}}, \"attendee_availability\": {\"0\": [[5...
{ "generator_name": "easy", "index": 192, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpKnapsack
[ { "content": "'Introduction': 'You are a great expert solving knapsack question. You should propose a solution to this question.', 'Task description': \"The knapsack problem's goal is to choose a subset of items to pack into a limited-capacity bag in a way that maximizes total value without exceeding the weight...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"capacity\": 119, \"items\": {\"1\": {\"weight\": 22, \"value\": 50}, \"2\": {\"weight\": 14, \"value\": 34}, \"8\": {\"weight\": 7, \"value\": 16}, \"10\": {\"weight\": 18, \"value\": 37}, \"11\": {\"weight\": 10, \"value\": 21}, \"12\": {\"weight\": 24, ...
{ "generator_name": "easy", "index": 47, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"2\": 1, \"4\": 1, \"8\": 1, \"10\": 1}, \"1\": {\"9\": 1, \"4\": 1, \"8\": 1, \"12\": 1, \"7\": 1, \"13\": 1, \"3\": 1}, \"2\": {\"4\": 1, \"8\": 1, \"6\": 1, \"5\": 1, \"13\": 1, \"3\": 1, \"0\": 1, \"14\": 1}, \"3\": {\"2\": 1, \"6\": 1, \"5\": ...
{ "generator_name": "easy", "index": 158, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 2], \"duration\": 90}, \"1\": {\"attendees\": [0, 1], \"duration\": 30}, \"2\": {\"attendees\": [2, 3], \"duration\": 30}, \"3\": {\"attendees\": [3, 4], \"duration\": 60}}, \"attendee_availability\": {\"0\": [[5...
{ "generator_name": "easy", "index": 50, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\"], \"1\": [\"0\", \"3\", \"4\"], \"2\": [\"0\", \"3\", \"4\"], \"3\": [\"1\", \"2\"], \"4\": [\"1\", \"2\"]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 99, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\", \"3\", \"4\", \"5\", \"6\", \"7\"], \"1\": [\"0\", \"4\", \"5\", \"6\", \"7\"], \"2\": [\"0\", \"3\", \"4\"], \"3\": [\"0\", \"2\", \"4\", \"7\"], \"4\": [\"0\", \"1\", \"2\", \"3\", \"5\"], \"5\": [\"0\", \"1\", \"4\"], \"6\": [\"0\",...
{ "generator_name": "easy", "index": 136, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\", \"3\"], \"1\": [\"0\", \"2\", \"3\"], \"2\": [\"0\", \"1\", \"3\"], \"3\": [\"0\", \"1\", \"2\"]}, \"ground_truth\": 4}", "style": "rule" }
{ "generator_name": "easy", "index": 82, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpTsp
[ { "content": "'Introduction': 'You are a great expert solving TSP question. You should propose a solution to this question.', 'Task description': 'Given a set of cities and the distances between each pair of cities, the Traveling Salesman Problem (TSP) aims to find the shortest possible route that visits each c...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"0\": 0, \"1\": 39, \"2\": 79, \"3\": 83, \"4\": 71, \"5\": 61, \"6\": 100, \"7\": 11, \"8\": 49, \"9\": 91, \"10\": 22, \"11\": 48, \"12\": 12, \"13\": 100, \"14\": 69, \"15\": 80, \"16\": 24, \"17\": 28, \"18\": 49, \"19\": 93}, \"1\": {\"0\": 39...
{ "generator_name": "easy", "index": 93, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"14\": 1, \"13\": 1, \"15\": 1, \"2\": 1, \"1\": 1, \"9\": 1, \"16\": 1}, \"1\": {\"12\": 1, \"11\": 1, \"6\": 1, \"8\": 1, \"0\": 1, \"5\": 1, \"3\": 1, \"10\": 1, \"15\": 1}, \"2\": {\"14\": 1, \"11\": 1, \"8\": 1, \"0\": 1, \"5\": 1, \"3\": 1, \...
{ "generator_name": "easy", "index": 138, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [5, 8, 1, 3, 6, 7, 16], \"1\": [8, 16, 0, 13], \"2\": [13, 10, 3, 15], \"3\": [4, 7, 0, 2, 6, 14], \"4\": [3, 16, 6, 10, 15], \"5\": [9, 0, 8], \"6\": [12, 14, 0, 3, 4, 8, 13, 15], \"7\": [3, 11, 0, 9, 16], \"8\": [0, 1, 5, 6, 11, 14], \"9\": [14, 5,...
{ "generator_name": "easy", "index": 63, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpKnapsack
[ { "content": "'Introduction': 'You are a great expert solving knapsack question. You should propose a solution to this question.', 'Task description': \"The knapsack problem's goal is to choose a subset of items to pack into a limited-capacity bag in a way that maximizes total value without exceeding the weight...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"capacity\": 197, \"items\": {\"0\": {\"weight\": 10, \"value\": 24}, \"1\": {\"weight\": 23, \"value\": 55}, \"4\": {\"weight\": 19, \"value\": 37}, \"5\": {\"weight\": 7, \"value\": 13}, \"7\": {\"weight\": 17, \"value\": 42}, \"8\": {\"weight\": 13, \"v...
{ "generator_name": "easy", "index": 19, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"36\": 1, \"11\": 3, \"1\": 9, \"2\": 9, \"4\": 9, \"5\": 9, \"6\": 10, \"7\": 10, \"9\": 9, \"10\": 8, \"13\": 9}, \"1\": {\"0\": 9, \"2\": 8, \"3\": 8, \"4\": 9, \"5\": 8, \"6\": 9, \"7\": 8, \"9\": 9, \"13\": 10, \"37\": 6, \"24\": 1, \"34\": 1}...
{ "generator_name": "easy", "index": 45, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1], \"duration\": 30}, \"1\": {\"attendees\": [2, 3], \"duration\": 90}, \"2\": {\"attendees\": [1, 2], \"duration\": 90}, \"3\": {\"attendees\": [1, 2], \"duration\": 60}}, \"attendee_availability\": {\"0\": [[540,...
{ "generator_name": "easy", "index": 212, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpTsp
[ { "content": "'Introduction': 'You are a great expert solving TSP question. You should propose a solution to this question.', 'Task description': 'Given a set of cities and the distances between each pair of cities, the Traveling Salesman Problem (TSP) aims to find the shortest possible route that visits each c...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"0\": 0, \"1\": 42, \"2\": 28, \"3\": 85, \"4\": 42, \"5\": 37, \"6\": 76, \"7\": 64, \"8\": 59, \"9\": 66, \"10\": 38, \"11\": 61, \"12\": 92, \"13\": 40}, \"1\": {\"0\": 42, \"1\": 0, \"2\": 33, \"3\": 78, \"4\": 13, \"5\": 52, \"6\": 71, \"7\": ...
{ "generator_name": "easy", "index": 88, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"7\": 1, \"4\": 1, \"12\": 1, \"8\": 1, \"17\": 1, \"9\": 1, \"3\": 1, \"11\": 1, \"15\": 1}, \"1\": {\"13\": 1, \"2\": 1, \"4\": 1, \"10\": 1, \"8\": 1, \"17\": 1, \"9\": 1}, \"2\": {\"13\": 1, \"6\": 1, \"17\": 1, \"1\": 1, \"3\": 1}, \"3\": {\"1...
{ "generator_name": "easy", "index": 216, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"2\": 1, \"13\": 1, \"11\": 1, \"8\": 1, \"12\": 1}, \"1\": {\"3\": 1, \"7\": 1}, \"2\": {\"3\": 1, \"8\": 1, \"12\": 1, \"0\": 1, \"4\": 1}, \"3\": {\"6\": 1, \"2\": 1, \"11\": 1, \"12\": 1, \"1\": 1}, \"4\": {\"6\": 1, \"2\": 1, \"7\": 1, \"8\": ...
{ "generator_name": "easy", "index": 171, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], \"S\": {\"0\": [11, 18, 9, 7, 0], \"1\": [1, 12, 10, 4, 0, 8], \"2\": [14, 5], \"3\": [9, 18, 10, 1, 6, 7, 13], \"4\": [14, 11, 0, 13, 6], \"5\": [16, 2], \"6\": [17, 15], \"7\": [14...
{ "generator_name": "easy", "index": 44, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [10, 5, 4, 11, 13, 14], \"1\": [15, 11, 3, 6, 7, 9, 10, 13, 14], \"2\": [17, 14, 9, 13], \"3\": [10, 9, 1, 8, 18], \"4\": [13, 17, 0, 11], \"5\": [11, 0, 10, 12, 17], \"6\": [8, 13, 1, 9, 10, 12, 18], \"7\": [12, 18, 1, 9], \"8\": [16, 6, 3, 11, 18],...
{ "generator_name": "easy", "index": 152, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpKnapsack
[ { "content": "'Introduction': 'You are a great expert solving knapsack question. You should propose a solution to this question.', 'Task description': \"The knapsack problem's goal is to choose a subset of items to pack into a limited-capacity bag in a way that maximizes total value without exceeding the weight...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"capacity\": 209, \"items\": {\"0\": {\"weight\": 10, \"value\": 23}, \"7\": {\"weight\": 24, \"value\": 46}, \"10\": {\"weight\": 19, \"value\": 44}, \"11\": {\"weight\": 22, \"value\": 49}, \"12\": {\"weight\": 25, \"value\": 48}, \"15\": {\"weight\": 14...
{ "generator_name": "easy", "index": 51, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"4\", \"7\"], \"1\": [\"0\", \"6\", \"7\"], \"2\": [\"4\", \"6\", \"7\"], \"3\": [\"7\"], \"4\": [\"0\", \"2\", \"5\"], \"5\": [\"4\"], \"6\": [\"1\", \"2\"], \"7\": [\"0\", \"1\", \"2\", \"3\"]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 219, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [13, 16, 2, 5, 8, 11, 15], \"1\": [8, 10, 5, 9, 12, 15, 17], \"2\": [17, 18, 0, 3, 6, 8, 15], \"3\": [10, 7, 2, 5, 14, 18], \"4\": [12, 6, 8, 15], \"5\": [18, 8, 0, 1, 3, 13], \"6\": [4, 13, 2, 7, 8, 9, 11, 12], \"7\": [3, 15, 6, 13], \"8\": [5, 1, 0...
{ "generator_name": "easy", "index": 186, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [4], \"1\": [], \"2\": [9], \"3\": [5], \"4\": [0], \"5\": [3], \"6\": [8], \"7\": [], \"8\": [6, 10], \"9\": [2, 10], \"10\": [8, 9]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 1, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"11\": 1, \"14\": 1, \"9\": 1, \"17\": 1, \"6\": 1, \"10\": 1, \"8\": 1, \"3\": 1, \"5\": 1, \"16\": 1}, \"1\": {\"15\": 1, \"12\": 1, \"16\": 1, \"5\": 1}, \"2\": {\"11\": 1, \"15\": 1, \"13\": 1, \"9\": 1, \"12\": 1, \"6\": 1, \"4\": 1}, \"3\": {...
{ "generator_name": "easy", "index": 103, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"23\": 1, \"1\": 2, \"2\": 8, \"5\": 10, \"6\": 9, \"7\": 10, \"9\": 9, \"10\": 10, \"11\": 9, \"12\": 9, \"13\": 8, \"40\": 3}, \"1\": {\"0\": 2, \"3\": 3, \"9\": 1, \"10\": 1, \"16\": 9, \"15\": 10, \"17\": 9, \"41\": 9, \"38\": 9, \"32\": 10}, \...
{ "generator_name": "easy", "index": 125, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpTsp
[ { "content": "'Introduction': 'You are a great expert solving TSP question. You should propose a solution to this question.', 'Task description': 'Given a set of cities and the distances between each pair of cities, the Traveling Salesman Problem (TSP) aims to find the shortest possible route that visits each c...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"0\": 0, \"1\": 13, \"2\": 90, \"3\": 44, \"4\": 33, \"5\": 79, \"6\": 100, \"7\": 28, \"8\": 74, \"9\": 44, \"10\": 62, \"11\": 85, \"12\": 67, \"13\": 36, \"14\": 78, \"15\": 27}, \"1\": {\"0\": 13, \"1\": 0, \"2\": 70, \"3\": 79, \"4\": 71, \"5\...
{ "generator_name": "easy", "index": 92, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSubsetSum
[ { "content": "'Introduction': 'You are a great expert solving subset-sum question. You should propose a solution to this question.', 'Task description': 'The subset sum problem asks whether a subset of numbers adds up to a given target. In this variation, the goal is not just to find any solution, but one that ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"target\": 15, \"numbers\": {\"0\": 3, \"1\": 5, \"2\": 4, \"3\": 1, \"4\": 1, \"5\": 1}}, \"ground_truth\": 6}", "style": "rule" }
{ "generator_name": "easy", "index": 168, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], \"S\": {\"0\": [11, 10], \"1\": [1, 12, 7], \"2\": [2, 3, 9], \"3\": [9, 1, 5], \"4\": [6], \"5\": [4, 3, 5, 8, 0]}}, \"ground_truth\": 5}", "style": "rule" }
{ "generator_name": "easy", "index": 173, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"10\": 1, \"5\": 1, \"11\": 1, \"16\": 1, \"12\": 1, \"13\": 1, \"2\": 1}, \"1\": {\"6\": 1, \"10\": 1, \"9\": 1, \"3\": 1, \"12\": 1, \"14\": 1, \"2\": 1}, \"2\": {\"6\": 1, \"10\": 1, \"5\": 1, \"1\": 1, \"0\": 1, \"11\": 1, \"13\": 1}, \"3\": {\...
{ "generator_name": "easy", "index": 153, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"4\": 1, \"2\": 9, \"5\": 10, \"6\": 8, \"8\": 8, \"11\": 9, \"12\": 8, \"13\": 9, \"36\": 5, \"32\": 3, \"38\": 1, \"22\": 1}, \"1\": {\"4\": 1, \"3\": 10, \"5\": 9, \"6\": 10, \"8\": 8, \"11\": 8, \"12\": 10, \"13\": 9, \"32\": 1, \"37\": 5, \"31...
{ "generator_name": "easy", "index": 147, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpTsp
[ { "content": "'Introduction': 'You are a great expert solving TSP question. You should propose a solution to this question.', 'Task description': 'Given a set of cities and the distances between each pair of cities, the Traveling Salesman Problem (TSP) aims to find the shortest possible route that visits each c...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"0\": 0, \"1\": 18, \"2\": 64, \"3\": 17, \"4\": 32, \"5\": 89, \"6\": 48, \"7\": 37, \"8\": 24, \"9\": 71, \"10\": 68, \"11\": 53, \"12\": 50, \"13\": 11, \"14\": 30, \"15\": 58, \"16\": 24, \"17\": 100, \"18\": 67, \"19\": 100}, \"1\": {\"0\": 18...
{ "generator_name": "easy", "index": 3, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpKnapsack
[ { "content": "'Introduction': 'You are a great expert solving knapsack question. You should propose a solution to this question.', 'Task description': \"The knapsack problem's goal is to choose a subset of items to pack into a limited-capacity bag in a way that maximizes total value without exceeding the weight...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"capacity\": 206, \"items\": {\"1\": {\"weight\": 8, \"value\": 16}, \"2\": {\"weight\": 21, \"value\": 42}, \"4\": {\"weight\": 25, \"value\": 56}, \"5\": {\"weight\": 19, \"value\": 41}, \"10\": {\"weight\": 21, \"value\": 45}, \"13\": {\"weight\": 18, \...
{ "generator_name": "easy", "index": 220, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [16, 4, 1, 8, 9, 10, 11], \"1\": [11, 2, 0, 3, 6, 7, 10], \"2\": [1, 15, 10], \"3\": [7, 10, 1, 4, 8, 11, 14], \"4\": [0, 7, 3, 11, 12], \"5\": [14, 6, 11, 13], \"6\": [5, 12, 1, 7, 10, 11, 13, 15], \"7\": [4, 3, 1, 6, 13], \"8\": [15, 16, 0, 3, 10, ...
{ "generator_name": "easy", "index": 108, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 2], \"duration\": 60}, \"1\": {\"attendees\": [0, 2], \"duration\": 30}, \"2\": {\"attendees\": [0, 1, 2], \"duration\": 60}, \"3\": {\"attendees\": [0, 1, 2], \"duration\": 90}}, \"attendee_availability\": {\"0\...
{ "generator_name": "easy", "index": 141, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 2], \"duration\": 30}, \"1\": {\"attendees\": [1, 2], \"duration\": 90}, \"2\": {\"attendees\": [1, 2], \"duration\": 60}, \"3\": {\"attendees\": [1, 2], \"duration\": 60}}, \"attendee_availability\": {\"0\": [[5...
{ "generator_name": "easy", "index": 74, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"39\": 1, \"1\": 10, \"2\": 10, \"3\": 10, \"4\": 10, \"6\": 9, \"7\": 8, \"8\": 8, \"10\": 10, \"11\": 10, \"20\": 5, \"34\": 1, \"36\": 1}, \"1\": {\"12\": 1, \"0\": 10, \"2\": 8, \"3\": 8, \"6\": 10, \"8\": 10, \"10\": 8, \"11\": 8, \"26\": 2, \...
{ "generator_name": "easy", "index": 187, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [1, 3], \"duration\": 30}, \"1\": {\"attendees\": [1, 2, 3], \"duration\": 30}, \"2\": {\"attendees\": [0, 3, 4], \"duration\": 90}, \"3\": {\"attendees\": [1, 3, 4], \"duration\": 90}, \"4\": {\"attendees\": [0, 1, 4],...
{ "generator_name": "easy", "index": 66, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"1\", \"2\", \"6\"], \"1\": [\"0\", \"3\", \"7\"], \"2\": [\"0\", \"5\"], \"3\": [\"1\"], \"4\": [\"6\"], \"5\": [\"2\"], \"6\": [\"0\", \"4\", \"7\"], \"7\": [\"1\", \"6\"]}, \"ground_truth\": 2}", "style": "rule" }
{ "generator_name": "easy", "index": 104, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpKnapsack
[ { "content": "'Introduction': 'You are a great expert solving knapsack question. You should propose a solution to this question.', 'Task description': \"The knapsack problem's goal is to choose a subset of items to pack into a limited-capacity bag in a way that maximizes total value without exceeding the weight...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"capacity\": 78, \"items\": {\"3\": {\"weight\": 15, \"value\": 33}, \"4\": {\"weight\": 10, \"value\": 19}, \"5\": {\"weight\": 5, \"value\": 9}, \"11\": {\"weight\": 9, \"value\": 19}, \"13\": {\"weight\": 13, \"value\": 28}, \"15\": {\"weight\": 6, \"va...
{ "generator_name": "easy", "index": 64, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"2\", \"3\", \"4\"], \"1\": [\"3\"], \"2\": [\"0\", \"3\", \"4\"], \"3\": [\"0\", \"1\", \"2\", \"4\"], \"4\": [\"0\", \"2\", \"3\"]}, \"ground_truth\": 4}", "style": "rule" }
{ "generator_name": "easy", "index": 102, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 1, 2], \"duration\": 60}, \"1\": {\"attendees\": [0, 1, 2], \"duration\": 60}, \"2\": {\"attendees\": [0, 1, 2], \"duration\": 90}, \"3\": {\"attendees\": [0, 1, 2], \"duration\": 90}}, \"attendee_availability\": {\...
{ "generator_name": "easy", "index": 194, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"41\": 1, \"11\": 3, \"1\": 8, \"2\": 8, \"3\": 8, \"4\": 9, \"5\": 9, \"6\": 9, \"7\": 8, \"8\": 8, \"12\": 10, \"13\": 8, \"10\": 1, \"16\": 1, \"30\": 3, \"15\": 6}, \"1\": {\"16\": 1, \"10\": 3, \"11\": 1, \"0\": 8, \"2\": 10, \"3\": 8, \"4\": ...
{ "generator_name": "easy", "index": 0, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpGcpD
[ { "content": "'Introduction': 'You are a great expert solving gcp-d question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph G = (V, E), where V is a set of vertices and E is a set of edges, the Graph Coloring Problem (GCP) asks whether it is possible to assign ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [6], \"1\": [5, 2], \"2\": [5, 1, 9, 3], \"3\": [4, 9, 2], \"4\": [9, 3, 10], \"5\": [1, 2], \"6\": [0, 10], \"7\": [], \"8\": [], \"9\": [4, 3, 2], \"10\": [4, 6]}, \"ground_truth\": 3}", "style": "rule" }
{ "generator_name": "easy", "index": 119, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"6\": 1, \"10\": 1}, \"1\": {\"7\": 1, \"10\": 1}, \"2\": {\"6\": 1, \"4\": 1}, \"3\": {\"6\": 1, \"8\": 1}, \"4\": {\"7\": 1, \"8\": 1, \"9\": 1, \"2\": 1, \"11\": 1, \"12\": 1}, \"5\": {\"8\": 1, \"10\": 1}, \"6\": {\"3\": 1, \"0\": 1, \"2\": 1, ...
{ "generator_name": "easy", "index": 15, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumCliqueProblem
[ { "content": "'Introduction': 'You are a great expert solving maximum-clique-problem question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Clique Problem aims to find a subset of vertices (a clique) where every two distinct vertices in the clique...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [\"2\", \"3\", \"4\"], \"1\": [\"3\", \"4\"], \"2\": [\"0\", \"3\", \"4\"], \"3\": [\"0\", \"1\", \"2\"], \"4\": [\"0\", \"1\", \"2\"]}, \"ground_truth\": 3}", "style": "rule" }
{ "generator_name": "easy", "index": 176, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"7\": 1, \"2\": 1, \"4\": 1, \"10\": 1, \"11\": 1, \"12\": 1}, \"1\": {\"13\": 1, \"6\": 1}, \"2\": {\"9\": 1, \"3\": 1, \"0\": 1, \"14\": 1}, \"3\": {\"13\": 1, \"6\": 1, \"2\": 1, \"11\": 1}, \"4\": {\"9\": 1, \"5\": 1, \"0\": 1, \"13\": 1, \"7\"...
{ "generator_name": "easy", "index": 141, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"6\": 1}, \"1\": {\"6\": 1, \"9\": 1}, \"2\": {\"5\": 1, \"6\": 1, \"9\": 1, \"10\": 1, \"3\": 1, \"7\": 1}, \"3\": {\"8\": 1, \"2\": 1, \"12\": 1, \"9\": 1}, \"4\": {\"8\": 1, \"12\": 1, \"5\": 1, \"9\": 1}, \"5\": {\"2\": 1, \"9\": 1, \"4\": 1, \...
{ "generator_name": "easy", "index": 188, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMeetingSchedule
[ { "content": "'Introduction': 'You are a great expert solving meeting-schedule question. You should propose a solution to this question.', 'Task description': 'Given a set of meetings, each with a required set of attendees, their availability times, and available meeting rooms with capacities, the Meeting Sched...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"meetings\": {\"0\": {\"attendees\": [0, 3, 4], \"duration\": 60}, \"1\": {\"attendees\": [0, 2, 4], \"duration\": 60}, \"2\": {\"attendees\": [1, 2], \"duration\": 30}, \"3\": {\"attendees\": [2, 3], \"duration\": 30}, \"4\": {\"attendees\": [1, 3], \"dur...
{ "generator_name": "easy", "index": 131, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [11, 16, 6, 9, 18], \"1\": [17, 3, 9, 10, 15], \"2\": [13, 11, 4, 7, 8, 14, 18], \"3\": [1, 14, 5, 11], \"4\": [18, 9, 2, 13, 15, 16], \"5\": [12, 8, 3, 7, 10, 11, 16, 18], \"6\": [15, 8, 0, 10, 12], \"7\": [16, 10, 2, 5, 9, 14, 15], \"8\": [5, 6, 2,...
{ "generator_name": "easy", "index": 6, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpHamiltonianCycle
[ { "content": "'Introduction': 'You are a great expert solving hamiltonian-cycle question. You should propose a solution to this question.', 'Task description': 'Your objective is to find a subgraph within a given graph G that contains a Hamiltonian circuit, which is a path that visits every vertex exactly once ...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": [8, 17, 1, 10, 13, 16], \"1\": [17, 11, 0, 6], \"2\": [6, 10, 8, 9, 15, 16], \"3\": [7, 16, 4, 12, 14, 17], \"4\": [5, 6, 3], \"5\": [15, 4, 7, 8], \"6\": [4, 2, 1, 8, 16], \"7\": [9, 3, 5, 8], \"8\": [13, 0, 2, 5, 6, 7], \"9\": [11, 7, 2], \"10\": [...
{ "generator_name": "easy", "index": 48, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMinimumCut
[ { "content": "'Introduction': 'You are a great expert solving minimum-cut question. You should propose a solution to this question.', 'Task description': 'Given a weighted undirected graph, the **Balanced Minimum Bisection Problem** aims to partition the graph into two disjoint subsets of **equal size** (or dif...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"19\": 2, \"2\": 8, \"3\": 10, \"4\": 8, \"5\": 10, \"6\": 9, \"7\": 8, \"8\": 10, \"10\": 10, \"12\": 8, \"13\": 10, \"14\": 6}, \"1\": {\"3\": 1, \"4\": 1, \"6\": 1, \"22\": 9, \"27\": 10, \"33\": 9, \"37\": 10, \"41\": 9, \"12\": 2, \"31\": 4}, ...
{ "generator_name": "easy", "index": 137, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"15\": 1, \"9\": 1, \"13\": 1, \"1\": 1, \"7\": 1, \"18\": 1, \"14\": 1, \"2\": 1, \"4\": 1}, \"1\": {\"15\": 1, \"10\": 1, \"13\": 1, \"5\": 1, \"0\": 1, \"8\": 1, \"12\": 1, \"18\": 1, \"4\": 1, \"14\": 1}, \"2\": {\"15\": 1, \"9\": 1, \"16\": 1,...
{ "generator_name": "easy", "index": 53, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpMaximumSet
[ { "content": "'Introduction': 'You are a great expert solving maximum-set question. You should propose a solution to this question.', 'Task description': 'Given an undirected graph, the Maximum Independent Set Problem aims to find the largest set of vertices where no two vertices are adjacent (i.e., no two vert...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"0\": {\"1\": 1, \"3\": 1, \"13\": 1, \"15\": 1, \"10\": 1, \"8\": 1, \"7\": 1, \"18\": 1}, \"1\": {\"0\": 1, \"12\": 1, \"6\": 1, \"11\": 1, \"13\": 1, \"19\": 1, \"10\": 1, \"18\": 1, \"8\": 1}, \"2\": {\"11\": 1, \"13\": 1, \"7\": 1, \"4\": 1, \"14\": 1...
{ "generator_name": "easy", "index": 214, "need_tools_kwargs": false, "split": "train" }
bootcamp/NpSetCover
[ { "content": "'Introduction': 'You are a great expert solving set-cover question. You should propose a solution to this question.', 'Task description': 'Given a universal set U and a collection of subsets S, the Set Cover Problem aims to find the smallest possible sub-collection of S whose union equals U. In o...
{ "ground_truth": "{\"difficulty\": \"easy\", \"question\": {\"U\": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], \"S\": {\"0\": [0], \"1\": [0, 4, 10], \"2\": [9, 11, 4], \"3\": [0, 6, 7], \"4\": [9, 1, 8], \"5\": [0, 3, 2, 5]}}, \"ground_truth\": 5}", "style": "rule" }
{ "generator_name": "easy", "index": 99, "need_tools_kwargs": false, "split": "train" }