[ { "id": "matching-easy-graph56", "image": "data/matching/graph_visual/easy/graph56.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph52", "image": "data/matching/graph_visual/easy/graph52.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph452", "image": "data/matching/graph_visual/easy/graph452.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 2 is interested in task 5.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 4.\nHost 7 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 4 is interested in task 7.\nHost 6 is interested in task 2.\nHost 4 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 2 is interested in task 7.\nHost 3 is interested in task 7.\nHost 7 is interested in task 2.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 6 is interested in task 7.\nHost 2 is interested in task 2.\nHost 5 is interested in task 2.\nHost 1 is interested in task 4.\nHost 7 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph542", "image": "data/matching/graph_visual/easy/graph542.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 1 is interested in task 7.\nHost 3 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 4.\nHost 2 is interested in task 2.\nHost 0 is interested in task 5.\nHost 7 is interested in task 8.\nHost 3 is interested in task 7.\nHost 1 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 8.\nHost 8 is interested in task 1.\nHost 5 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 2.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 7 is interested in task 7.\nHost 2 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 5.\nHost 3 is interested in task 6.\nHost 0 is interested in task 4.\nHost 6 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 3.\nHost 0 is interested in task 8.\nHost 2 is interested in task 7.\nHost 8 is interested in task 0.\nHost 3 is interested in task 5.\nHost 3 is interested in task 1.\nHost 2 is interested in task 6.\nHost 2 is interested in task 8.\nHost 7 is interested in task 3.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 7 is interested in task 5.\nHost 4 is interested in task 5.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph12", "image": "data/matching/graph_visual/easy/graph12.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "1." } ] }, { "id": "matching-easy-graph4", "image": "data/matching/graph_visual/easy/graph4.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph336", "image": "data/matching/graph_visual/easy/graph336.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 4 is interested in task 4.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 5.\nHost 6 is interested in task 1.\nHost 2 is interested in task 5.\nHost 5 is interested in task 2.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph511", "image": "data/matching/graph_visual/easy/graph511.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 4 is interested in task 4.\nHost 8 is interested in task 4.\nHost 5 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 6 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 8 is interested in task 2.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 0 is interested in task 4.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph150", "image": "data/matching/graph_visual/easy/graph150.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 4.\nHost 4 is interested in task 1.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph240", "image": "data/matching/graph_visual/easy/graph240.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 1 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 1 is interested in task 5.\nHost 5 is interested in task 2.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph55", "image": "data/matching/graph_visual/easy/graph55.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph229", "image": "data/matching/graph_visual/easy/graph229.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph373", "image": "data/matching/graph_visual/easy/graph373.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 6 is interested in task 7.\nHost 6 is interested in task 2.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 5 is interested in task 0.\nHost 2 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 5.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 6.\nHost 5 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph300", "image": "data/matching/graph_visual/easy/graph300.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 4.\nHost 1 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 0.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 5 is interested in task 1.\nHost 6 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph428", "image": "data/matching/graph_visual/easy/graph428.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 5 is interested in task 1.\nHost 4 is interested in task 3.\nHost 7 is interested in task 0.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 6.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 6.\nHost 6 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 7 is interested in task 2.\nHost 4 is interested in task 4.\nHost 6 is interested in task 3.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 4 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph81", "image": "data/matching/graph_visual/easy/graph81.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph84", "image": "data/matching/graph_visual/easy/graph84.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 4.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph534", "image": "data/matching/graph_visual/easy/graph534.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 3 is interested in task 4.\nHost 4 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 7.\nHost 5 is interested in task 0.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 0.\nHost 5 is interested in task 3.\nHost 8 is interested in task 5.\nHost 7 is interested in task 4.\nHost 4 is interested in task 5.\nHost 6 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 7.\nHost 5 is interested in task 6.\nHost 5 is interested in task 1.\nHost 7 is interested in task 5.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 7.\nHost 5 is interested in task 2.\nHost 3 is interested in task 7.\nHost 8 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 7 is interested in task 6.\nHost 8 is interested in task 7.\nHost 7 is interested in task 3.\nHost 7 is interested in task 2.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 2 is interested in task 4.\nHost 8 is interested in task 3.\nHost 0 is interested in task 0.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph395", "image": "data/matching/graph_visual/easy/graph395.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 2 is interested in task 7.\nHost 1 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 6 is interested in task 1.\nHost 6 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 4.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 0 is interested in task 6.\nHost 0 is interested in task 8.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 6 is interested in task 6.\nHost 4 is interested in task 7.\nHost 4 is interested in task 6.\nHost 6 is interested in task 7.\nHost 4 is interested in task 8.\nHost 2 is interested in task 4.\nHost 6 is interested in task 2.\nHost 5 is interested in task 7.\nHost 4 is interested in task 3.\nHost 5 is interested in task 1.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph219", "image": "data/matching/graph_visual/easy/graph219.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 5 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph188", "image": "data/matching/graph_visual/easy/graph188.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 6.\nHost 2 is interested in task 1.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph22", "image": "data/matching/graph_visual/easy/graph22.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph226", "image": "data/matching/graph_visual/easy/graph226.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph491", "image": "data/matching/graph_visual/easy/graph491.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 3 is interested in task 8.\nHost 2 is interested in task 6.\nHost 2 is interested in task 9.\nHost 5 is interested in task 1.\nHost 2 is interested in task 8.\nHost 0 is interested in task 6.\nHost 6 is interested in task 8.\nHost 7 is interested in task 4.\nHost 6 is interested in task 0.\nHost 7 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 3 is interested in task 9.\nHost 7 is interested in task 1.\nHost 3 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 7 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 7.\nHost 4 is interested in task 7.\nHost 7 is interested in task 5.\nHost 3 is interested in task 1.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph492", "image": "data/matching/graph_visual/easy/graph492.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 6 is interested in task 9.\nHost 2 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 1 is interested in task 7.\nHost 5 is interested in task 9.\nHost 3 is interested in task 0.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 4 is interested in task 2.\nHost 2 is interested in task 6.\nHost 1 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 0.\nHost 3 is interested in task 8.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 6 is interested in task 7.\nHost 4 is interested in task 7.\nHost 0 is interested in task 3.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph27", "image": "data/matching/graph_visual/easy/graph27.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph67", "image": "data/matching/graph_visual/easy/graph67.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 1 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph64", "image": "data/matching/graph_visual/easy/graph64.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph159", "image": "data/matching/graph_visual/easy/graph159.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph570", "image": "data/matching/graph_visual/easy/graph570.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 4 is interested in task 8.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 3.\nHost 0 is interested in task 9.\nHost 2 is interested in task 4.\nHost 6 is interested in task 1.\nHost 5 is interested in task 9.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 0 is interested in task 7.\nHost 5 is interested in task 6.\nHost 1 is interested in task 5.\nHost 5 is interested in task 8.\nHost 5 is interested in task 1.\nHost 7 is interested in task 6.\nHost 6 is interested in task 4.\nHost 4 is interested in task 0.\nHost 3 is interested in task 9.\nHost 0 is interested in task 8.\nHost 0 is interested in task 6.\nHost 5 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 4 is interested in task 1.\nHost 7 is interested in task 4.\nHost 8 is interested in task 7.\nHost 0 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 7.\nHost 8 is interested in task 1.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 0.\nHost 5 is interested in task 0.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph344", "image": "data/matching/graph_visual/easy/graph344.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 1.\nHost 2 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 5 is interested in task 1.\nHost 6 is interested in task 0.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5.\nHost 6 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 5.\nHost 5 is interested in task 0.\nHost 0 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 6.\nHost 1 is interested in task 6.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph96", "image": "data/matching/graph_visual/easy/graph96.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 5.\nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph186", "image": "data/matching/graph_visual/easy/graph186.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 2 is interested in task 6.\nHost 4 is interested in task 5.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph592", "image": "data/matching/graph_visual/easy/graph592.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 5 is interested in task 10.\nHost 3 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 3 is interested in task 8.\nHost 2 is interested in task 7.\nHost 0 is interested in task 5.\nHost 7 is interested in task 6.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 6 is interested in task 6.\nHost 4 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 8 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 4.\nHost 1 is interested in task 8.\nHost 6 is interested in task 7.\nHost 4 is interested in task 5.\nHost 7 is interested in task 8.\nHost 6 is interested in task 8.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 5 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 2 is interested in task 10.\nHost 4 is interested in task 8.\nHost 6 is interested in task 9.\nHost 6 is interested in task 5.\nHost 3 is interested in task 6.\nHost 0 is interested in task 10.\nHost 0 is interested in task 9.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph320", "image": "data/matching/graph_visual/easy/graph320.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 4.\nHost 2 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 5.\nHost 4 is interested in task 4.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 6 is interested in task 5.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 6 is interested in task 2.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph425", "image": "data/matching/graph_visual/easy/graph425.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 7 is interested in task 4.\nHost 6 is interested in task 2.\nHost 2 is interested in task 5.\nHost 7 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 0.\nHost 6 is interested in task 6.\nHost 1 is interested in task 5.\nHost 5 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 5.\nHost 0 is interested in task 4.\nHost 5 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph494", "image": "data/matching/graph_visual/easy/graph494.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 2 is interested in task 9.\nHost 5 is interested in task 9.\nHost 6 is interested in task 8.\nHost 3 is interested in task 1.\nHost 4 is interested in task 9.\nHost 5 is interested in task 8.\nHost 2 is interested in task 8.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 3 is interested in task 9.\nHost 6 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 3.\nHost 2 is interested in task 6.\nHost 2 is interested in task 7.\nHost 0 is interested in task 3.\nHost 5 is interested in task 3.\nHost 6 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 7.\nHost 4 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 7.\nHost 6 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph556", "image": "data/matching/graph_visual/easy/graph556.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 8.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 7 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 8.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 7 is interested in task 4.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3.\nHost 7 is interested in task 3.\nHost 8 is interested in task 0.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 2.\nHost 7 is interested in task 0.\nHost 8 is interested in task 3.\nHost 8 is interested in task 5.\nHost 2 is interested in task 4.\nHost 6 is interested in task 3.\nHost 8 is interested in task 8.\nHost 5 is interested in task 7.\nHost 7 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 6.\nHost 5 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 5.\nHost 8 is interested in task 6.\nHost 3 is interested in task 7.\nHost 1 is interested in task 7.\nHost 4 is interested in task 6.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 7.\nHost 8 is interested in task 4.\nHost 1 is interested in task 6.\nHost 3 is interested in task 6.\nHost 3 is interested in task 0.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph583", "image": "data/matching/graph_visual/easy/graph583.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 10.\nHost 2 is interested in task 4.\nHost 8 is interested in task 9.\nHost 1 is interested in task 8.\nHost 3 is interested in task 3.\nHost 8 is interested in task 0.\nHost 4 is interested in task 7.\nHost 2 is interested in task 6.\nHost 5 is interested in task 4.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 2 is interested in task 2.\nHost 5 is interested in task 10.\nHost 4 is interested in task 8.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 7.\nHost 2 is interested in task 1.\nHost 8 is interested in task 10.\nHost 3 is interested in task 7.\nHost 1 is interested in task 2.\nHost 8 is interested in task 4.\nHost 1 is interested in task 10.\nHost 0 is interested in task 8.\nHost 0 is interested in task 10.\nHost 1 is interested in task 9.\nHost 0 is interested in task 9.\nHost 2 is interested in task 3.\nHost 2 is interested in task 9.\nHost 6 is interested in task 5.\nHost 0 is interested in task 3.\nHost 6 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 9.\nHost 8 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 2 is interested in task 5.\nHost 7 is interested in task 6.\nHost 3 is interested in task 8.\nHost 7 is interested in task 5.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph121", "image": "data/matching/graph_visual/easy/graph121.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 3.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph451", "image": "data/matching/graph_visual/easy/graph451.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 5 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 6.\nHost 4 is interested in task 4.\nHost 1 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 7 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 7.\nHost 3 is interested in task 4.\nHost 7 is interested in task 4.\nHost 7 is interested in task 3.\nHost 3 is interested in task 5.\nHost 6 is interested in task 1.\nHost 7 is interested in task 7.\nHost 7 is interested in task 1.\nHost 7 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 7.\nHost 0 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph230", "image": "data/matching/graph_visual/easy/graph230.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 3 is interested in task 4.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 1.\nHost 5 is interested in task 4.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph252", "image": "data/matching/graph_visual/easy/graph252.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 1 is interested in task 4.\nHost 4 is interested in task 5.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph92", "image": "data/matching/graph_visual/easy/graph92.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 5.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 2.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph310", "image": "data/matching/graph_visual/easy/graph310.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 6 is interested in task 3.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 3.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph248", "image": "data/matching/graph_visual/easy/graph248.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 2.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph347", "image": "data/matching/graph_visual/easy/graph347.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 6.\nHost 5 is interested in task 6.\nHost 2 is interested in task 5.\nHost 6 is interested in task 1.\nHost 6 is interested in task 2.\nHost 5 is interested in task 1.\nHost 2 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 4.\nHost 5 is interested in task 2.\nHost 6 is interested in task 6.\nHost 0 is interested in task 5.\nHost 4 is interested in task 0.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph465", "image": "data/matching/graph_visual/easy/graph465.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 4 is interested in task 6.\nHost 6 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 6.\nHost 5 is interested in task 8.\nHost 7 is interested in task 1.\nHost 5 is interested in task 3.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 2 is interested in task 4.\nHost 6 is interested in task 3.\nHost 1 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 8.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3.\nHost 1 is interested in task 7.\nHost 2 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 7 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph369", "image": "data/matching/graph_visual/easy/graph369.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 6 is interested in task 6.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 1 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 5 is interested in task 4.\nHost 1 is interested in task 7.\nHost 2 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 6 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph180", "image": "data/matching/graph_visual/easy/graph180.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 4 is interested in task 4.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph222", "image": "data/matching/graph_visual/easy/graph222.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 3.\nHost 2 is interested in task 3.\nHost 4 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph16", "image": "data/matching/graph_visual/easy/graph16.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph33", "image": "data/matching/graph_visual/easy/graph33.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph83", "image": "data/matching/graph_visual/easy/graph83.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph178", "image": "data/matching/graph_visual/easy/graph178.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph550", "image": "data/matching/graph_visual/easy/graph550.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 8.\nHost 1 is interested in task 6.\nHost 5 is interested in task 0.\nHost 7 is interested in task 0.\nHost 8 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 2 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 8.\nHost 3 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 6.\nHost 4 is interested in task 7.\nHost 7 is interested in task 4.\nHost 5 is interested in task 3.\nHost 1 is interested in task 1.\nHost 8 is interested in task 8.\nHost 7 is interested in task 8.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 0 is interested in task 1.\nHost 7 is interested in task 2.\nHost 1 is interested in task 8.\nHost 8 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 7 is interested in task 1.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph581", "image": "data/matching/graph_visual/easy/graph581.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 3 is interested in task 4.\nHost 1 is interested in task 8.\nHost 5 is interested in task 5.\nHost 0 is interested in task 7.\nHost 7 is interested in task 6.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 3 is interested in task 7.\nHost 3 is interested in task 8.\nHost 8 is interested in task 1.\nHost 1 is interested in task 2.\nHost 6 is interested in task 4.\nHost 8 is interested in task 7.\nHost 8 is interested in task 10.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 8 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 0 is interested in task 8.\nHost 6 is interested in task 10.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 2 is interested in task 10.\nHost 0 is interested in task 10.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 4 is interested in task 4.\nHost 7 is interested in task 0.\nHost 7 is interested in task 7.\nHost 5 is interested in task 1.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 0 is interested in task 9.\nHost 2 is interested in task 1.\nHost 6 is interested in task 2.\nHost 4 is interested in task 0.\nHost 4 is interested in task 9.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 10.\nHost 8 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph504", "image": "data/matching/graph_visual/easy/graph504.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 4 is interested in task 4.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3.\nHost 8 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 6 is interested in task 5.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 8 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 6.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 1.\nHost 8 is interested in task 4.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph134", "image": "data/matching/graph_visual/easy/graph134.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph205", "image": "data/matching/graph_visual/easy/graph205.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 5 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph199", "image": "data/matching/graph_visual/easy/graph199.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 5.\nHost 3 is interested in task 6.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 6.\nHost 1 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph554", "image": "data/matching/graph_visual/easy/graph554.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 6 is interested in task 6.\nHost 8 is interested in task 7.\nHost 0 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 6.\nHost 2 is interested in task 1.\nHost 5 is interested in task 7.\nHost 1 is interested in task 6.\nHost 8 is interested in task 5.\nHost 6 is interested in task 0.\nHost 3 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 8.\nHost 2 is interested in task 0.\nHost 8 is interested in task 6.\nHost 8 is interested in task 1.\nHost 2 is interested in task 3.\nHost 8 is interested in task 8.\nHost 8 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 0.\nHost 8 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 8.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 3 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 6.\nHost 2 is interested in task 8.\nHost 1 is interested in task 0.\nHost 0 is interested in task 7.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph143", "image": "data/matching/graph_visual/easy/graph143.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 0 is interested in task 4.\nHost 4 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 1 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph593", "image": "data/matching/graph_visual/easy/graph593.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 4 is interested in task 8.\nHost 4 is interested in task 9.\nHost 8 is interested in task 5.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 1 is interested in task 9.\nHost 0 is interested in task 7.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 5.\nHost 0 is interested in task 6.\nHost 2 is interested in task 1.\nHost 0 is interested in task 9.\nHost 5 is interested in task 7.\nHost 7 is interested in task 2.\nHost 7 is interested in task 1.\nHost 8 is interested in task 1.\nHost 6 is interested in task 9.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 8 is interested in task 7.\nHost 0 is interested in task 0.\nHost 6 is interested in task 1.\nHost 6 is interested in task 8.\nHost 2 is interested in task 9.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 9.\nHost 3 is interested in task 6.\nHost 7 is interested in task 7.\nHost 4 is interested in task 7.\nHost 1 is interested in task 5.\nHost 3 is interested in task 8.\nHost 1 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph412", "image": "data/matching/graph_visual/easy/graph412.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 7 is interested in task 1.\nHost 4 is interested in task 5.\nHost 6 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 0.\nHost 6 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 3.\nHost 7 is interested in task 2.\nHost 7 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph36", "image": "data/matching/graph_visual/easy/graph36.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph161", "image": "data/matching/graph_visual/easy/graph161.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph365", "image": "data/matching/graph_visual/easy/graph365.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 3.\nHost 6 is interested in task 0.\nHost 3 is interested in task 6.\nHost 5 is interested in task 5.\nHost 4 is interested in task 7.\nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 3 is interested in task 0.\nHost 5 is interested in task 7.\nHost 6 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 2.\nHost 3 is interested in task 7.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph26", "image": "data/matching/graph_visual/easy/graph26.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph171", "image": "data/matching/graph_visual/easy/graph171.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 0 is interested in task 4.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 0 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph210", "image": "data/matching/graph_visual/easy/graph210.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph89", "image": "data/matching/graph_visual/easy/graph89.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 0 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 2.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph441", "image": "data/matching/graph_visual/easy/graph441.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 5 is interested in task 1.\nHost 4 is interested in task 6.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 7 is interested in task 4.\nHost 3 is interested in task 2.\nHost 0 is interested in task 4.\nHost 7 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 4.\nHost 1 is interested in task 7.\nHost 6 is interested in task 4.\nHost 1 is interested in task 1.\nHost 5 is interested in task 0.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 5.\nHost 6 is interested in task 3.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph241", "image": "data/matching/graph_visual/easy/graph241.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph476", "image": "data/matching/graph_visual/easy/graph476.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 6 is interested in task 1.\nHost 3 is interested in task 6.\nHost 6 is interested in task 6.\nHost 6 is interested in task 2.\nHost 5 is interested in task 7.\nHost 2 is interested in task 1.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 8.\nHost 3 is interested in task 3.\nHost 6 is interested in task 8.\nHost 3 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 7.\nHost 7 is interested in task 4.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 4 is interested in task 8.\nHost 0 is interested in task 7.\nHost 2 is interested in task 8.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2.\nHost 7 is interested in task 1.\nHost 4 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 6.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph130", "image": "data/matching/graph_visual/easy/graph130.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph306", "image": "data/matching/graph_visual/easy/graph306.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 4.\nHost 1 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 5 is interested in task 3.\nHost 3 is interested in task 3.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph137", "image": "data/matching/graph_visual/easy/graph137.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph329", "image": "data/matching/graph_visual/easy/graph329.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 0.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 1 is interested in task 5.\nHost 6 is interested in task 5.\nHost 5 is interested in task 0.\nHost 3 is interested in task 4.\nHost 6 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph486", "image": "data/matching/graph_visual/easy/graph486.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 7 is interested in task 0.\nHost 4 is interested in task 7.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 5.\nHost 5 is interested in task 8.\nHost 2 is interested in task 4.\nHost 2 is interested in task 1.\nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 3.\nHost 5 is interested in task 9.\nHost 5 is interested in task 4.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 1.\nHost 4 is interested in task 9.\nHost 5 is interested in task 3.\nHost 1 is interested in task 1.\nHost 2 is interested in task 6.\nHost 7 is interested in task 7.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph53", "image": "data/matching/graph_visual/easy/graph53.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph145", "image": "data/matching/graph_visual/easy/graph145.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph58", "image": "data/matching/graph_visual/easy/graph58.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph154", "image": "data/matching/graph_visual/easy/graph154.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph227", "image": "data/matching/graph_visual/easy/graph227.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph405", "image": "data/matching/graph_visual/easy/graph405.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 5 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 3.\nHost 7 is interested in task 2.\nHost 3 is interested in task 0.\nHost 6 is interested in task 1.\nHost 4 is interested in task 1.\nHost 7 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 4 is interested in task 2.\nHost 6 is interested in task 5.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 3.\nHost 5 is interested in task 4.\nHost 0 is interested in task 2.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph539", "image": "data/matching/graph_visual/easy/graph539.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 3 is interested in task 6.\nHost 4 is interested in task 7.\nHost 3 is interested in task 4.\nHost 6 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 8 is interested in task 3.\nHost 3 is interested in task 5.\nHost 7 is interested in task 4.\nHost 7 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 4 is interested in task 2.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 3 is interested in task 3.\nHost 3 is interested in task 7.\nHost 0 is interested in task 2.\nHost 7 is interested in task 3.\nHost 5 is interested in task 4.\nHost 1 is interested in task 2.\nHost 6 is interested in task 0.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 1 is interested in task 6.\nHost 1 is interested in task 1.\nHost 8 is interested in task 1.\nHost 8 is interested in task 7.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph375", "image": "data/matching/graph_visual/easy/graph375.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 4 is interested in task 5.\nHost 1 is interested in task 2.\nHost 1 is interested in task 3.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 1 is interested in task 7.\nHost 2 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 2.\nHost 6 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 0 is interested in task 4.\nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 2 is interested in task 7.\nHost 5 is interested in task 5.\nHost 5 is interested in task 1.\nHost 1 is interested in task 6.\nHost 1 is interested in task 0.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph352", "image": "data/matching/graph_visual/easy/graph352.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 5 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 3.\nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph237", "image": "data/matching/graph_visual/easy/graph237.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph330", "image": "data/matching/graph_visual/easy/graph330.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 4 is interested in task 2.\nHost 3 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 0 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 3.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph460", "image": "data/matching/graph_visual/easy/graph460.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 8.\nHost 0 is interested in task 7.\nHost 6 is interested in task 8.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 3 is interested in task 3.\nHost 7 is interested in task 3.\nHost 7 is interested in task 5.\nHost 0 is interested in task 3.\nHost 7 is interested in task 4.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 7 is interested in task 2.\nHost 6 is interested in task 3.\nHost 3 is interested in task 8.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 7 is interested in task 0.\nHost 4 is interested in task 7.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph94", "image": "data/matching/graph_visual/easy/graph94.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 4.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph414", "image": "data/matching/graph_visual/easy/graph414.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 4.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 2 is interested in task 3.\nHost 6 is interested in task 5.\nHost 6 is interested in task 4.\nHost 4 is interested in task 0.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 4 is interested in task 2.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 1.\nHost 6 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph146", "image": "data/matching/graph_visual/easy/graph146.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 3.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph73", "image": "data/matching/graph_visual/easy/graph73.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 3 is interested in task 4.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph38", "image": "data/matching/graph_visual/easy/graph38.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 1.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph99", "image": "data/matching/graph_visual/easy/graph99.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 3.\nHost 0 is interested in task 3.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph133", "image": "data/matching/graph_visual/easy/graph133.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph71", "image": "data/matching/graph_visual/easy/graph71.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph378", "image": "data/matching/graph_visual/easy/graph378.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 7.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 7.\nHost 3 is interested in task 4.\nHost 1 is interested in task 7.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 5 is interested in task 4.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph35", "image": "data/matching/graph_visual/easy/graph35.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 3 is interested in task 0.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph391", "image": "data/matching/graph_visual/easy/graph391.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 6 is interested in task 2.\nHost 5 is interested in task 1.\nHost 1 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 0 is interested in task 8.\nHost 3 is interested in task 5.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 2 is interested in task 1.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 3 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 0 is interested in task 7.\nHost 5 is interested in task 8.\nHost 2 is interested in task 6.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph181", "image": "data/matching/graph_visual/easy/graph181.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 3 is interested in task 6.\nHost 2 is interested in task 0.\nHost 4 is interested in task 6.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph198", "image": "data/matching/graph_visual/easy/graph198.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 1 is interested in task 5.\nHost 0 is interested in task 3.\nHost 1 is interested in task 6.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 3 is interested in task 1.\nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 5.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph262", "image": "data/matching/graph_visual/easy/graph262.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 0 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 4.\nHost 1 is interested in task 0.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 1 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 4 is interested in task 5.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph332", "image": "data/matching/graph_visual/easy/graph332.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 4 is interested in task 5.\nHost 5 is interested in task 2.\nHost 4 is interested in task 2.\nHost 6 is interested in task 4.\nHost 0 is interested in task 0.\nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 4.\nHost 1 is interested in task 5.\nHost 4 is interested in task 4.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph160", "image": "data/matching/graph_visual/easy/graph160.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 4 is interested in task 5.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 0 is interested in task 5.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 4.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph185", "image": "data/matching/graph_visual/easy/graph185.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 6.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 4.\nHost 2 is interested in task 3.\nHost 0 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph177", "image": "data/matching/graph_visual/easy/graph177.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 5.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph117", "image": "data/matching/graph_visual/easy/graph117.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph170", "image": "data/matching/graph_visual/easy/graph170.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph589", "image": "data/matching/graph_visual/easy/graph589.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 7 is interested in task 4.\nHost 7 is interested in task 0.\nHost 5 is interested in task 1.\nHost 4 is interested in task 9.\nHost 1 is interested in task 3.\nHost 2 is interested in task 5.\nHost 8 is interested in task 0.\nHost 2 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 9.\nHost 2 is interested in task 9.\nHost 7 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 0 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 8.\nHost 8 is interested in task 3.\nHost 2 is interested in task 0.\nHost 8 is interested in task 5.\nHost 6 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 7.\nHost 2 is interested in task 8.\nHost 6 is interested in task 7.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph85", "image": "data/matching/graph_visual/easy/graph85.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph325", "image": "data/matching/graph_visual/easy/graph325.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 1.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 5 is interested in task 5.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph563", "image": "data/matching/graph_visual/easy/graph563.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 6 is interested in task 9.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 8.\nHost 2 is interested in task 7.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 8 is interested in task 7.\nHost 6 is interested in task 1.\nHost 0 is interested in task 4.\nHost 3 is interested in task 7.\nHost 8 is interested in task 3.\nHost 8 is interested in task 9.\nHost 6 is interested in task 0.\nHost 7 is interested in task 8.\nHost 5 is interested in task 9.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6.\nHost 5 is interested in task 3.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 5 is interested in task 6.\nHost 4 is interested in task 0.\nHost 8 is interested in task 5.\nHost 1 is interested in task 8.\nHost 5 is interested in task 2.\nHost 6 is interested in task 4.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2.\nHost 3 is interested in task 1.\nHost 8 is interested in task 0.\nHost 4 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph479", "image": "data/matching/graph_visual/easy/graph479.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 2 is interested in task 8.\nHost 4 is interested in task 1.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 4 is interested in task 4.\nHost 5 is interested in task 5.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 6.\nHost 6 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 0 is interested in task 4.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph392", "image": "data/matching/graph_visual/easy/graph392.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 1 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 6.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 8.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3.\nHost 1 is interested in task 7.\nHost 0 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 6 is interested in task 1.\nHost 6 is interested in task 8.\nHost 2 is interested in task 7.\nHost 5 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph562", "image": "data/matching/graph_visual/easy/graph562.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 5 is interested in task 9.\nHost 2 is interested in task 6.\nHost 3 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 3.\nHost 7 is interested in task 8.\nHost 5 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 9.\nHost 2 is interested in task 5.\nHost 2 is interested in task 0.\nHost 7 is interested in task 2.\nHost 5 is interested in task 7.\nHost 6 is interested in task 8.\nHost 6 is interested in task 2.\nHost 7 is interested in task 1.\nHost 1 is interested in task 3.\nHost 7 is interested in task 6.\nHost 3 is interested in task 9.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 8 is interested in task 4.\nHost 1 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 5 is interested in task 4.\nHost 2 is interested in task 8.\nHost 6 is interested in task 7.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph440", "image": "data/matching/graph_visual/easy/graph440.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 6.\nHost 5 is interested in task 1.\nHost 4 is interested in task 3.\nHost 1 is interested in task 2.\nHost 7 is interested in task 0.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 0 is interested in task 5.\nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 6 is interested in task 6.\nHost 0 is interested in task 1.\nHost 6 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 7.\nHost 1 is interested in task 5.\nHost 4 is interested in task 6.\nHost 6 is interested in task 5.\nHost 2 is interested in task 6.\nHost 7 is interested in task 4.\nHost 0 is interested in task 6.\nHost 7 is interested in task 2.\nHost 6 is interested in task 4.\nHost 7 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph398", "image": "data/matching/graph_visual/easy/graph398.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 3 is interested in task 5.\nHost 1 is interested in task 7.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 0 is interested in task 8.\nHost 4 is interested in task 4.\nHost 3 is interested in task 6.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5.\nHost 5 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 4.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 8.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 8.\nHost 2 is interested in task 1.\nHost 6 is interested in task 8.\nHost 2 is interested in task 8.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph448", "image": "data/matching/graph_visual/easy/graph448.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 6.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 3 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 2 is interested in task 6.\nHost 2 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 3.\nHost 0 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 3.\nHost 7 is interested in task 7.\nHost 5 is interested in task 6.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph285", "image": "data/matching/graph_visual/easy/graph285.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 2 is interested in task 2.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 5 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 4.\nHost 4 is interested in task 1.\nHost 5 is interested in task 3.\nHost 1 is interested in task 7.\nHost 3 is interested in task 6.\nHost 4 is interested in task 0.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph483", "image": "data/matching/graph_visual/easy/graph483.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 1 is interested in task 1.\nHost 7 is interested in task 1.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 8.\nHost 3 is interested in task 9.\nHost 2 is interested in task 2.\nHost 3 is interested in task 6.\nHost 2 is interested in task 7.\nHost 4 is interested in task 7.\nHost 4 is interested in task 2.\nHost 0 is interested in task 7.\nHost 1 is interested in task 3.\nHost 1 is interested in task 2.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 1.\nHost 5 is interested in task 3.\nHost 7 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 3.\nHost 2 is interested in task 8.\nHost 4 is interested in task 5.\nHost 7 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph77", "image": "data/matching/graph_visual/easy/graph77.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 0 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph396", "image": "data/matching/graph_visual/easy/graph396.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 1.\nHost 5 is interested in task 8.\nHost 1 is interested in task 7.\nHost 2 is interested in task 6.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 8.\nHost 1 is interested in task 1.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 0.\nHost 6 is interested in task 7.\nHost 3 is interested in task 5.\nHost 1 is interested in task 6.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 4 is interested in task 8.\nHost 3 is interested in task 7.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph506", "image": "data/matching/graph_visual/easy/graph506.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 8 is interested in task 1.\nHost 1 is interested in task 5.\nHost 8 is interested in task 3.\nHost 0 is interested in task 6.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 3.\nHost 7 is interested in task 3.\nHost 2 is interested in task 2.\nHost 5 is interested in task 2.\nHost 5 is interested in task 6.\nHost 6 is interested in task 5.\nHost 3 is interested in task 3.\nHost 5 is interested in task 0.\nHost 6 is interested in task 6.\nHost 8 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 7 is interested in task 2.\nHost 5 is interested in task 4.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph339", "image": "data/matching/graph_visual/easy/graph339.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 2 is interested in task 4.\nHost 1 is interested in task 0.\nHost 6 is interested in task 1.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 4.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 4 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph258", "image": "data/matching/graph_visual/easy/graph258.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 1 is interested in task 3.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 5.\nHost 5 is interested in task 1.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph132", "image": "data/matching/graph_visual/easy/graph132.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 4 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph183", "image": "data/matching/graph_visual/easy/graph183.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 6.\nHost 3 is interested in task 6.\nHost 2 is interested in task 3.\nHost 4 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph119", "image": "data/matching/graph_visual/easy/graph119.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph212", "image": "data/matching/graph_visual/easy/graph212.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 1 is interested in task 2.\nHost 5 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph297", "image": "data/matching/graph_visual/easy/graph297.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 3 is interested in task 7.\nHost 2 is interested in task 7.\nHost 3 is interested in task 5.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 2 is interested in task 3.\nHost 5 is interested in task 5.\nHost 2 is interested in task 1.\nHost 5 is interested in task 7.\nHost 4 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph3", "image": "data/matching/graph_visual/easy/graph3.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "1." } ] }, { "id": "matching-easy-graph388", "image": "data/matching/graph_visual/easy/graph388.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 4 is interested in task 8.\nHost 5 is interested in task 6.\nHost 0 is interested in task 6.\nHost 5 is interested in task 3.\nHost 6 is interested in task 5.\nHost 5 is interested in task 7.\nHost 6 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 2 is interested in task 8.\nHost 4 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 6.\nHost 2 is interested in task 7.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 1 is interested in task 4.\nHost 1 is interested in task 8.\nHost 6 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 5.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph389", "image": "data/matching/graph_visual/easy/graph389.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 3 is interested in task 5.\nHost 6 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 3 is interested in task 8.\nHost 0 is interested in task 0.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 1.\nHost 0 is interested in task 7.\nHost 3 is interested in task 6.\nHost 4 is interested in task 8.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 0 is interested in task 8.\nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 6 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 5 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 0.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph478", "image": "data/matching/graph_visual/easy/graph478.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 7 is interested in task 5.\nHost 0 is interested in task 7.\nHost 5 is interested in task 8.\nHost 2 is interested in task 7.\nHost 5 is interested in task 2.\nHost 4 is interested in task 4.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 1 is interested in task 7.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3.\nHost 6 is interested in task 3.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 5 is interested in task 4.\nHost 7 is interested in task 2.\nHost 7 is interested in task 0.\nHost 2 is interested in task 5.\nHost 5 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 8.\nHost 7 is interested in task 8.\nHost 6 is interested in task 8.\nHost 5 is interested in task 1.\nHost 6 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 7 is interested in task 1.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph286", "image": "data/matching/graph_visual/easy/graph286.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 5.\nHost 4 is interested in task 7.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 0 is interested in task 2.\nHost 3 is interested in task 7.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 6.\nHost 1 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 5.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph142", "image": "data/matching/graph_visual/easy/graph142.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph421", "image": "data/matching/graph_visual/easy/graph421.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 7 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 3.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 6.\nHost 6 is interested in task 6.\nHost 4 is interested in task 1.\nHost 5 is interested in task 5.\nHost 0 is interested in task 6.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 1 is interested in task 4.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph213", "image": "data/matching/graph_visual/easy/graph213.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph577", "image": "data/matching/graph_visual/easy/graph577.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 9.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 6 is interested in task 2.\nHost 6 is interested in task 7.\nHost 2 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 7.\nHost 1 is interested in task 8.\nHost 6 is interested in task 9.\nHost 6 is interested in task 0.\nHost 2 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 7.\nHost 1 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 5 is interested in task 0.\nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 2 is interested in task 5.\nHost 2 is interested in task 7.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 9.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 7 is interested in task 9.\nHost 3 is interested in task 4.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph265", "image": "data/matching/graph_visual/easy/graph265.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 5 is interested in task 4.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 2 is interested in task 5.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph307", "image": "data/matching/graph_visual/easy/graph307.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 4.\nHost 5 is interested in task 0.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 3.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 5 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph565", "image": "data/matching/graph_visual/easy/graph565.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 8.\nHost 2 is interested in task 3.\nHost 3 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 5.\nHost 6 is interested in task 7.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 3 is interested in task 8.\nHost 2 is interested in task 5.\nHost 5 is interested in task 6.\nHost 6 is interested in task 8.\nHost 4 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 9.\nHost 8 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5.\nHost 5 is interested in task 2.\nHost 3 is interested in task 7.\nHost 4 is interested in task 1.\nHost 8 is interested in task 0.\nHost 0 is interested in task 7.\nHost 6 is interested in task 2.\nHost 3 is interested in task 9.\nHost 3 is interested in task 3.\nHost 1 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 9.\nHost 6 is interested in task 1.\nHost 1 is interested in task 9.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 6 is interested in task 9.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph559", "image": "data/matching/graph_visual/easy/graph559.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 5 is interested in task 3.\nHost 2 is interested in task 7.\nHost 4 is interested in task 1.\nHost 3 is interested in task 7.\nHost 6 is interested in task 1.\nHost 6 is interested in task 8.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4.\nHost 2 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 7.\nHost 3 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 4.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph233", "image": "data/matching/graph_visual/easy/graph233.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph224", "image": "data/matching/graph_visual/easy/graph224.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 5 is interested in task 4.\nHost 1 is interested in task 4.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph291", "image": "data/matching/graph_visual/easy/graph291.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 5 is interested in task 1.\nHost 2 is interested in task 7.\nHost 5 is interested in task 6.\nHost 5 is interested in task 0.\nHost 4 is interested in task 2.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 6.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7.\nHost 3 is interested in task 5.\nHost 5 is interested in task 7.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 5.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph295", "image": "data/matching/graph_visual/easy/graph295.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 7.\nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 4.\nHost 1 is interested in task 4.\nHost 3 is interested in task 7.\nHost 1 is interested in task 3.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph436", "image": "data/matching/graph_visual/easy/graph436.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 5 is interested in task 5.\nHost 4 is interested in task 0.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 7 is interested in task 6.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 7 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 2 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 5.\nHost 0 is interested in task 4.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 4 is interested in task 3.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph14", "image": "data/matching/graph_visual/easy/graph14.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph443", "image": "data/matching/graph_visual/easy/graph443.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 4 is interested in task 4.\nHost 5 is interested in task 5.\nHost 2 is interested in task 5.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 5 is interested in task 7.\nHost 4 is interested in task 2.\nHost 7 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 3.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 2 is interested in task 6.\nHost 6 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 5.\nHost 6 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 2.\nHost 4 is interested in task 7.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 2 is interested in task 4.\nHost 6 is interested in task 7.\nHost 5 is interested in task 0.\nHost 1 is interested in task 1.\nHost 6 is interested in task 6.\nHost 6 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 6.\nHost 4 is interested in task 0.\nHost 4 is interested in task 6.\nHost 0 is interested in task 6.\nHost 6 is interested in task 5.\nHost 6 is interested in task 4.\nHost 7 is interested in task 6.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph281", "image": "data/matching/graph_visual/easy/graph281.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 7.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 1 is interested in task 6.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 4 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 6.\nHost 2 is interested in task 6.\nHost 2 is interested in task 4.\nHost 5 is interested in task 7.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph131", "image": "data/matching/graph_visual/easy/graph131.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 3.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph292", "image": "data/matching/graph_visual/easy/graph292.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 5 is interested in task 5.\nHost 5 is interested in task 7.\nHost 0 is interested in task 0.\nHost 3 is interested in task 6.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 6.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 5 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph138", "image": "data/matching/graph_visual/easy/graph138.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph334", "image": "data/matching/graph_visual/easy/graph334.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 5 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph158", "image": "data/matching/graph_visual/easy/graph158.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph97", "image": "data/matching/graph_visual/easy/graph97.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 3 is interested in task 5.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph218", "image": "data/matching/graph_visual/easy/graph218.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph179", "image": "data/matching/graph_visual/easy/graph179.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 2 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 5.\nHost 2 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph153", "image": "data/matching/graph_visual/easy/graph153.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 1 is interested in task 0.\nHost 4 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 4.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph356", "image": "data/matching/graph_visual/easy/graph356.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 2 is interested in task 4.\nHost 5 is interested in task 6.\nHost 5 is interested in task 2.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 4 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 2 is interested in task 0.\nHost 6 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 6.\nHost 1 is interested in task 5.\nHost 6 is interested in task 4.\nHost 5 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 3.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph207", "image": "data/matching/graph_visual/easy/graph207.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph271", "image": "data/matching/graph_visual/easy/graph271.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 0 is interested in task 6.\nHost 1 is interested in task 4.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 3 is interested in task 6.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph204", "image": "data/matching/graph_visual/easy/graph204.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph464", "image": "data/matching/graph_visual/easy/graph464.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 3 is interested in task 0.\nHost 5 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 6 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 4 is interested in task 3.\nHost 1 is interested in task 8.\nHost 6 is interested in task 7.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 7 is interested in task 4.\nHost 4 is interested in task 6.\nHost 1 is interested in task 4.\nHost 5 is interested in task 3.\nHost 5 is interested in task 4.\nHost 7 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 7 is interested in task 8.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph149", "image": "data/matching/graph_visual/easy/graph149.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 1 is interested in task 1.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph397", "image": "data/matching/graph_visual/easy/graph397.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 8.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 8.\nHost 0 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 1.\nHost 5 is interested in task 0.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 5 is interested in task 5.\nHost 2 is interested in task 8.\nHost 2 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 4.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 2 is interested in task 7.\nHost 0 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 0.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 0.\nHost 5 is interested in task 8.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 7.\nHost 6 is interested in task 7.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph232", "image": "data/matching/graph_visual/easy/graph232.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 4.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph426", "image": "data/matching/graph_visual/easy/graph426.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 6 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 3.\nHost 7 is interested in task 4.\nHost 6 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 7 is interested in task 6.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 5 is interested in task 5.\nHost 7 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 0.\nHost 6 is interested in task 1.\nHost 6 is interested in task 6.\nHost 5 is interested in task 3.\nHost 3 is interested in task 6.\nHost 3 is interested in task 2.\nHost 5 is interested in task 4.\nHost 3 is interested in task 1.\nHost 7 is interested in task 2.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph536", "image": "data/matching/graph_visual/easy/graph536.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 4.\nHost 4 is interested in task 5.\nHost 7 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 4.\nHost 1 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 4.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 0.\nHost 4 is interested in task 7.\nHost 2 is interested in task 5.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 6.\nHost 8 is interested in task 4.\nHost 8 is interested in task 5.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 7.\nHost 1 is interested in task 3.\nHost 5 is interested in task 1.\nHost 7 is interested in task 2.\nHost 6 is interested in task 5.\nHost 7 is interested in task 0.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 8 is interested in task 3.\nHost 7 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 4 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph560", "image": "data/matching/graph_visual/easy/graph560.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 7.\nHost 1 is interested in task 7.\nHost 2 is interested in task 1.\nHost 5 is interested in task 7.\nHost 1 is interested in task 0.\nHost 4 is interested in task 9.\nHost 2 is interested in task 5.\nHost 3 is interested in task 9.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 5.\nHost 8 is interested in task 7.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3.\nHost 6 is interested in task 0.\nHost 8 is interested in task 9.\nHost 8 is interested in task 6.\nHost 5 is interested in task 0.\nHost 6 is interested in task 4.\nHost 8 is interested in task 4.\nHost 8 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 7.\nHost 2 is interested in task 9.\nHost 2 is interested in task 3.\nHost 2 is interested in task 6.\nHost 5 is interested in task 9.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 0 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph520", "image": "data/matching/graph_visual/easy/graph520.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 6 is interested in task 2.\nHost 7 is interested in task 7.\nHost 0 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4.\nHost 7 is interested in task 6.\nHost 3 is interested in task 7.\nHost 1 is interested in task 0.\nHost 7 is interested in task 1.\nHost 1 is interested in task 6.\nHost 5 is interested in task 1.\nHost 5 is interested in task 7.\nHost 5 is interested in task 2.\nHost 5 is interested in task 6.\nHost 2 is interested in task 7.\nHost 0 is interested in task 4.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 0.\nHost 6 is interested in task 3.\nHost 2 is interested in task 6.\nHost 0 is interested in task 3.\nHost 7 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 2.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph288", "image": "data/matching/graph_visual/easy/graph288.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 7.\nHost 0 is interested in task 0.\nHost 3 is interested in task 6.\nHost 1 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 5.\nHost 4 is interested in task 2.\nHost 2 is interested in task 7.\nHost 0 is interested in task 5.\nHost 0 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 0.\nHost 3 is interested in task 1.\nHost 1 is interested in task 6.\nHost 2 is interested in task 4.\nHost 4 is interested in task 4.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph280", "image": "data/matching/graph_visual/easy/graph280.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 7.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 7.\nHost 2 is interested in task 0.\nHost 4 is interested in task 3.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 0 is interested in task 6.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph9", "image": "data/matching/graph_visual/easy/graph9.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph322", "image": "data/matching/graph_visual/easy/graph322.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 5 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 0 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 5 is interested in task 3.\nHost 5 is interested in task 0.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph2", "image": "data/matching/graph_visual/easy/graph2.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph381", "image": "data/matching/graph_visual/easy/graph381.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 2.\nHost 3 is interested in task 7.\nHost 6 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 3 is interested in task 8.\nHost 4 is interested in task 2.\nHost 1 is interested in task 3.\nHost 2 is interested in task 7.\nHost 1 is interested in task 7.\nHost 5 is interested in task 1.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 5 is interested in task 2.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph429", "image": "data/matching/graph_visual/easy/graph429.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 5.\nHost 7 is interested in task 0.\nHost 5 is interested in task 6.\nHost 4 is interested in task 3.\nHost 7 is interested in task 1.\nHost 6 is interested in task 2.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 6.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph508", "image": "data/matching/graph_visual/easy/graph508.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 5 is interested in task 6.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 1.\nHost 5 is interested in task 1.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 8 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 8 is interested in task 1.\nHost 8 is interested in task 2.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6.\nHost 8 is interested in task 6.\nHost 1 is interested in task 0.\nHost 0 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 2.\nHost 6 is interested in task 2.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph293", "image": "data/matching/graph_visual/easy/graph293.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 7.\nHost 2 is interested in task 5.\nHost 4 is interested in task 3.\nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph202", "image": "data/matching/graph_visual/easy/graph202.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 2.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 1.\nHost 3 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 0.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph261", "image": "data/matching/graph_visual/easy/graph261.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 6.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 5 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 5.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 1.\nHost 5 is interested in task 5.\nHost 0 is interested in task 6.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph360", "image": "data/matching/graph_visual/easy/graph360.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 1 is interested in task 7.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 6 is interested in task 7.\nHost 2 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 6 is interested in task 6.\nHost 4 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 0 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 0.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph283", "image": "data/matching/graph_visual/easy/graph283.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 3 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 7.\nHost 1 is interested in task 2.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph355", "image": "data/matching/graph_visual/easy/graph355.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 6.\nHost 4 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 6 is interested in task 5.\nHost 1 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 4 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph526", "image": "data/matching/graph_visual/easy/graph526.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 5.\nHost 8 is interested in task 2.\nHost 6 is interested in task 4.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 0 is interested in task 4.\nHost 8 is interested in task 1.\nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 5 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 1.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 6 is interested in task 5.\nHost 5 is interested in task 5.\nHost 0 is interested in task 5.\nHost 3 is interested in task 2.\nHost 8 is interested in task 6.\nHost 4 is interested in task 2.\nHost 6 is interested in task 6.\nHost 4 is interested in task 7.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 4.\nHost 6 is interested in task 0.\nHost 5 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 7.\nHost 1 is interested in task 6.\nHost 1 is interested in task 2.\nHost 7 is interested in task 1.\nHost 3 is interested in task 7.\nHost 6 is interested in task 1.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 5 is interested in task 2.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph228", "image": "data/matching/graph_visual/easy/graph228.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 4.\nHost 5 is interested in task 0.\nHost 5 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph597", "image": "data/matching/graph_visual/easy/graph597.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 8 is interested in task 4.\nHost 2 is interested in task 3.\nHost 4 is interested in task 2.\nHost 1 is interested in task 3.\nHost 1 is interested in task 9.\nHost 0 is interested in task 7.\nHost 0 is interested in task 10.\nHost 1 is interested in task 8.\nHost 3 is interested in task 10.\nHost 4 is interested in task 10.\nHost 2 is interested in task 10.\nHost 6 is interested in task 1.\nHost 2 is interested in task 5.\nHost 8 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 10.\nHost 6 is interested in task 9.\nHost 3 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 4 is interested in task 9.\nHost 2 is interested in task 2.\nHost 5 is interested in task 10.\nHost 7 is interested in task 7.\nHost 6 is interested in task 10.\nHost 3 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 5 is interested in task 0.\nHost 7 is interested in task 10.\nHost 7 is interested in task 2.\nHost 4 is interested in task 8.\nHost 8 is interested in task 1.\nHost 3 is interested in task 9.\nHost 7 is interested in task 3.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph512", "image": "data/matching/graph_visual/easy/graph512.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 2 is interested in task 0.\nHost 5 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 4.\nHost 7 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3.\nHost 6 is interested in task 6.\nHost 8 is interested in task 4.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 7 is interested in task 5.\nHost 1 is interested in task 2.\nHost 6 is interested in task 4.\nHost 2 is interested in task 3.\nHost 5 is interested in task 6.\nHost 8 is interested in task 0.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 6.\nHost 8 is interested in task 2.\nHost 6 is interested in task 2.\nHost 7 is interested in task 1.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph316", "image": "data/matching/graph_visual/easy/graph316.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 2.\nHost 2 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 4.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph509", "image": "data/matching/graph_visual/easy/graph509.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 5.\nHost 8 is interested in task 4.\nHost 3 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 8 is interested in task 5.\nHost 0 is interested in task 3.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 4 is interested in task 2.\nHost 7 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 3 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 3.\nHost 5 is interested in task 1.\nHost 7 is interested in task 1.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph377", "image": "data/matching/graph_visual/easy/graph377.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 6 is interested in task 7.\nHost 1 is interested in task 0.\nHost 5 is interested in task 3.\nHost 1 is interested in task 7.\nHost 4 is interested in task 6.\nHost 6 is interested in task 4.\nHost 1 is interested in task 6.\nHost 5 is interested in task 4.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 0 is interested in task 5.\nHost 1 is interested in task 1.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 7.\nHost 4 is interested in task 1.\nHost 0 is interested in task 6.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph175", "image": "data/matching/graph_visual/easy/graph175.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph278", "image": "data/matching/graph_visual/easy/graph278.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 5.\nHost 3 is interested in task 6.\nHost 5 is interested in task 0.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph103", "image": "data/matching/graph_visual/easy/graph103.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph337", "image": "data/matching/graph_visual/easy/graph337.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 4.\nHost 6 is interested in task 1.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 2.\nHost 6 is interested in task 3.\nHost 6 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph48", "image": "data/matching/graph_visual/easy/graph48.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 0.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph106", "image": "data/matching/graph_visual/easy/graph106.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph50", "image": "data/matching/graph_visual/easy/graph50.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph259", "image": "data/matching/graph_visual/easy/graph259.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 2.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph393", "image": "data/matching/graph_visual/easy/graph393.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 6.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 6 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 8.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 6.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 8.\nHost 6 is interested in task 0.\nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph272", "image": "data/matching/graph_visual/easy/graph272.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 5 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 4 is interested in task 6.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph545", "image": "data/matching/graph_visual/easy/graph545.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 1 is interested in task 5.\nHost 6 is interested in task 1.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 3 is interested in task 8.\nHost 4 is interested in task 6.\nHost 7 is interested in task 3.\nHost 7 is interested in task 2.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 8 is interested in task 4.\nHost 5 is interested in task 0.\nHost 6 is interested in task 4.\nHost 5 is interested in task 2.\nHost 0 is interested in task 8.\nHost 8 is interested in task 7.\nHost 1 is interested in task 3.\nHost 6 is interested in task 6.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 6 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 3.\nHost 7 is interested in task 5.\nHost 8 is interested in task 1.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1.\nHost 8 is interested in task 3.\nHost 2 is interested in task 7.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 3 is interested in task 7.\nHost 8 is interested in task 8.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph80", "image": "data/matching/graph_visual/easy/graph80.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 1 is interested in task 4.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 5.\nHost 2 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph447", "image": "data/matching/graph_visual/easy/graph447.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 4.\nHost 6 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 6 is interested in task 0.\nHost 5 is interested in task 0.\nHost 4 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3.\nHost 1 is interested in task 5.\nHost 1 is interested in task 7.\nHost 7 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph157", "image": "data/matching/graph_visual/easy/graph157.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph453", "image": "data/matching/graph_visual/easy/graph453.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 2 is interested in task 6.\nHost 0 is interested in task 3.\nHost 1 is interested in task 7.\nHost 2 is interested in task 0.\nHost 4 is interested in task 7.\nHost 4 is interested in task 1.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 3 is interested in task 3.\nHost 7 is interested in task 1.\nHost 7 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 7.\nHost 6 is interested in task 0.\nHost 7 is interested in task 0.\nHost 6 is interested in task 5.\nHost 0 is interested in task 6.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 1 is interested in task 3.\nHost 7 is interested in task 7.\nHost 3 is interested in task 6.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph331", "image": "data/matching/graph_visual/easy/graph331.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 3 is interested in task 0.\nHost 6 is interested in task 5.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph326", "image": "data/matching/graph_visual/easy/graph326.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 6 is interested in task 4.\nHost 1 is interested in task 2.\nHost 2 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 4.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph514", "image": "data/matching/graph_visual/easy/graph514.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 8 is interested in task 5.\nHost 3 is interested in task 4.\nHost 6 is interested in task 5.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6.\nHost 0 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 8 is interested in task 4.\nHost 2 is interested in task 4.\nHost 5 is interested in task 3.\nHost 8 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 5.\nHost 4 is interested in task 5.\nHost 1 is interested in task 2.\nHost 1 is interested in task 0.\nHost 7 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 8 is interested in task 1.\nHost 4 is interested in task 6.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph24", "image": "data/matching/graph_visual/easy/graph24.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph105", "image": "data/matching/graph_visual/easy/graph105.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph420", "image": "data/matching/graph_visual/easy/graph420.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 0.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 5.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 7 is interested in task 3.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 5.\nHost 6 is interested in task 3.\nHost 1 is interested in task 6.\nHost 4 is interested in task 3.\nHost 7 is interested in task 2.\nHost 5 is interested in task 3.\nHost 4 is interested in task 4.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 0 is interested in task 4.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph208", "image": "data/matching/graph_visual/easy/graph208.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph225", "image": "data/matching/graph_visual/easy/graph225.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 0.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 5 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph169", "image": "data/matching/graph_visual/easy/graph169.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph242", "image": "data/matching/graph_visual/easy/graph242.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 0 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 5 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 5.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph354", "image": "data/matching/graph_visual/easy/graph354.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 3 is interested in task 5.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph458", "image": "data/matching/graph_visual/easy/graph458.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 2 is interested in task 6.\nHost 2 is interested in task 7.\nHost 7 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 7 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 7.\nHost 5 is interested in task 5.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 6 is interested in task 0.\nHost 1 is interested in task 7.\nHost 4 is interested in task 0.\nHost 0 is interested in task 0.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 6.\nHost 1 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 0.\nHost 1 is interested in task 5.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph238", "image": "data/matching/graph_visual/easy/graph238.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 5 is interested in task 0.\nHost 1 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph165", "image": "data/matching/graph_visual/easy/graph165.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph118", "image": "data/matching/graph_visual/easy/graph118.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 1.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 0.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph17", "image": "data/matching/graph_visual/easy/graph17.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph313", "image": "data/matching/graph_visual/easy/graph313.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 4 is interested in task 4.\nHost 6 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph78", "image": "data/matching/graph_visual/easy/graph78.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph502", "image": "data/matching/graph_visual/easy/graph502.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 6 is interested in task 2.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 8 is interested in task 4.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 7 is interested in task 3.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 5.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 7 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 3.\nHost 0 is interested in task 3.\nHost 7 is interested in task 6.\nHost 1 is interested in task 0.\nHost 7 is interested in task 1.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph472", "image": "data/matching/graph_visual/easy/graph472.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 4.\nHost 0 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 5.\nHost 2 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7.\nHost 3 is interested in task 2.\nHost 4 is interested in task 7.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 5.\nHost 3 is interested in task 6.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 1 is interested in task 3.\nHost 7 is interested in task 2.\nHost 6 is interested in task 7.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 0 is interested in task 2.\nHost 7 is interested in task 1.\nHost 2 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 8.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 5 is interested in task 8.\nHost 1 is interested in task 2.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph417", "image": "data/matching/graph_visual/easy/graph417.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 7 is interested in task 2.\nHost 0 is interested in task 5.\nHost 6 is interested in task 2.\nHost 6 is interested in task 3.\nHost 6 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 7 is interested in task 5.\nHost 5 is interested in task 4.\nHost 6 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 5 is interested in task 1.\nHost 7 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph305", "image": "data/matching/graph_visual/easy/graph305.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 6 is interested in task 1.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph590", "image": "data/matching/graph_visual/easy/graph590.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 1 is interested in task 5.\nHost 5 is interested in task 3.\nHost 8 is interested in task 1.\nHost 6 is interested in task 8.\nHost 6 is interested in task 5.\nHost 1 is interested in task 2.\nHost 8 is interested in task 3.\nHost 8 is interested in task 8.\nHost 8 is interested in task 7.\nHost 3 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 10.\nHost 6 is interested in task 7.\nHost 6 is interested in task 6.\nHost 2 is interested in task 5.\nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 7 is interested in task 3.\nHost 8 is interested in task 2.\nHost 8 is interested in task 6.\nHost 4 is interested in task 4.\nHost 0 is interested in task 10.\nHost 5 is interested in task 1.\nHost 0 is interested in task 8.\nHost 3 is interested in task 6.\nHost 2 is interested in task 3.\nHost 4 is interested in task 2.\nHost 8 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 10.\nHost 0 is interested in task 1.\nHost 1 is interested in task 4.\nHost 5 is interested in task 10.\nHost 5 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 8.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph298", "image": "data/matching/graph_visual/easy/graph298.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 6.\nHost 2 is interested in task 3.\nHost 5 is interested in task 7.\nHost 0 is interested in task 6.\nHost 4 is interested in task 4.\nHost 5 is interested in task 0.\nHost 3 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 7.\nHost 5 is interested in task 6.\nHost 5 is interested in task 4.\nHost 1 is interested in task 2.\nHost 1 is interested in task 7.\nHost 4 is interested in task 5.\nHost 3 is interested in task 5.\nHost 1 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph123", "image": "data/matching/graph_visual/easy/graph123.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 1 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph284", "image": "data/matching/graph_visual/easy/graph284.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 1.\nHost 2 is interested in task 4.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 7.\nHost 4 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 3 is interested in task 0.\nHost 3 is interested in task 7.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 3 is interested in task 6.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 2 is interested in task 6.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph485", "image": "data/matching/graph_visual/easy/graph485.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 5 is interested in task 0.\nHost 7 is interested in task 7.\nHost 4 is interested in task 9.\nHost 1 is interested in task 6.\nHost 4 is interested in task 7.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 1 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 6 is interested in task 4.\nHost 5 is interested in task 9.\nHost 7 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 2.\nHost 1 is interested in task 8.\nHost 3 is interested in task 4.\nHost 5 is interested in task 3.\nHost 7 is interested in task 8.\nHost 4 is interested in task 5.\nHost 5 is interested in task 4.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 2 is interested in task 8.\nHost 7 is interested in task 9.\nHost 3 is interested in task 0.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph251", "image": "data/matching/graph_visual/easy/graph251.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 1.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph415", "image": "data/matching/graph_visual/easy/graph415.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 4.\nHost 3 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 4.\nHost 3 is interested in task 0.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 2.\nHost 6 is interested in task 5.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1.\nHost 1 is interested in task 3.\nHost 7 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 4.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph61", "image": "data/matching/graph_visual/easy/graph61.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph11", "image": "data/matching/graph_visual/easy/graph11.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph576", "image": "data/matching/graph_visual/easy/graph576.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 4 is interested in task 1.\nHost 7 is interested in task 4.\nHost 4 is interested in task 9.\nHost 6 is interested in task 9.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 7 is interested in task 8.\nHost 3 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 4 is interested in task 0.\nHost 3 is interested in task 6.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 1 is interested in task 8.\nHost 4 is interested in task 8.\nHost 0 is interested in task 8.\nHost 6 is interested in task 6.\nHost 6 is interested in task 2.\nHost 3 is interested in task 7.\nHost 8 is interested in task 7.\nHost 3 is interested in task 8.\nHost 8 is interested in task 3.\nHost 6 is interested in task 5.\nHost 4 is interested in task 3.\nHost 8 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 2.\nHost 1 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 9.\nHost 2 is interested in task 9.\nHost 8 is interested in task 4.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph433", "image": "data/matching/graph_visual/easy/graph433.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 5 is interested in task 6.\nHost 7 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 7 is interested in task 3.\nHost 5 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 7 is interested in task 0.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph319", "image": "data/matching/graph_visual/easy/graph319.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 6 is interested in task 2.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 6 is interested in task 4.\nHost 0 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph407", "image": "data/matching/graph_visual/easy/graph407.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 4 is interested in task 4.\nHost 2 is interested in task 3.\nHost 4 is interested in task 2.\nHost 6 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 4 is interested in task 3.\nHost 3 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 1.\nHost 0 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph19", "image": "data/matching/graph_visual/easy/graph19.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph196", "image": "data/matching/graph_visual/easy/graph196.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 2 is interested in task 5.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 4 is interested in task 4.\nHost 4 is interested in task 6.\nHost 3 is interested in task 6.\nHost 0 is interested in task 5.\nHost 0 is interested in task 2.\nHost 1 is interested in task 6.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph253", "image": "data/matching/graph_visual/easy/graph253.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 4 is interested in task 4.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 0 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph525", "image": "data/matching/graph_visual/easy/graph525.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 2 is interested in task 1.\nHost 6 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 7.\nHost 8 is interested in task 2.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 6 is interested in task 0.\nHost 7 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 5.\nHost 6 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 6.\nHost 7 is interested in task 1.\nHost 1 is interested in task 6.\nHost 2 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 8 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph466", "image": "data/matching/graph_visual/easy/graph466.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 7.\nHost 5 is interested in task 7.\nHost 0 is interested in task 1.\nHost 7 is interested in task 7.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 7 is interested in task 5.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 1.\nHost 0 is interested in task 8.\nHost 2 is interested in task 3.\nHost 4 is interested in task 8.\nHost 0 is interested in task 6.\nHost 4 is interested in task 7.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 2 is interested in task 0.\nHost 7 is interested in task 0.\nHost 3 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph497", "image": "data/matching/graph_visual/easy/graph497.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 7 is interested in task 5.\nHost 1 is interested in task 7.\nHost 1 is interested in task 4.\nHost 2 is interested in task 8.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 3 is interested in task 6.\nHost 0 is interested in task 4.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 0 is interested in task 3.\nHost 2 is interested in task 7.\nHost 4 is interested in task 7.\nHost 3 is interested in task 4.\nHost 0 is interested in task 9.\nHost 3 is interested in task 1.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 4 is interested in task 5.\nHost 7 is interested in task 8.\nHost 0 is interested in task 1.\nHost 0 is interested in task 7.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 8.\nHost 6 is interested in task 7.\nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 3 is interested in task 9.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 3.\nHost 7 is interested in task 3.\nHost 0 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph223", "image": "data/matching/graph_visual/easy/graph223.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 5 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph529", "image": "data/matching/graph_visual/easy/graph529.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 0 is interested in task 5.\nHost 0 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 7.\nHost 8 is interested in task 3.\nHost 7 is interested in task 7.\nHost 7 is interested in task 4.\nHost 5 is interested in task 7.\nHost 8 is interested in task 4.\nHost 4 is interested in task 3.\nHost 8 is interested in task 2.\nHost 8 is interested in task 6.\nHost 5 is interested in task 4.\nHost 7 is interested in task 0.\nHost 1 is interested in task 7.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 1.\nHost 1 is interested in task 5.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 6 is interested in task 4.\nHost 6 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 5.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph555", "image": "data/matching/graph_visual/easy/graph555.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 6 is interested in task 6.\nHost 4 is interested in task 0.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 7.\nHost 1 is interested in task 5.\nHost 6 is interested in task 2.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 6 is interested in task 7.\nHost 3 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 4.\nHost 7 is interested in task 8.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 4 is interested in task 8.\nHost 6 is interested in task 5.\nHost 1 is interested in task 7.\nHost 0 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 1.\nHost 6 is interested in task 8.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 2 is interested in task 4.\nHost 2 is interested in task 8.\nHost 2 is interested in task 5.\nHost 8 is interested in task 1.\nHost 1 is interested in task 8.\nHost 6 is interested in task 3.\nHost 8 is interested in task 8.\nHost 8 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 5.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph573", "image": "data/matching/graph_visual/easy/graph573.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 5 is interested in task 9.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 6 is interested in task 7.\nHost 1 is interested in task 0.\nHost 0 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 4 is interested in task 6.\nHost 6 is interested in task 8.\nHost 8 is interested in task 2.\nHost 1 is interested in task 7.\nHost 8 is interested in task 8.\nHost 5 is interested in task 8.\nHost 7 is interested in task 5.\nHost 7 is interested in task 9.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 3 is interested in task 6.\nHost 1 is interested in task 6.\nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 2.\nHost 4 is interested in task 9.\nHost 7 is interested in task 2.\nHost 7 is interested in task 1.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 9.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph399", "image": "data/matching/graph_visual/easy/graph399.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 3 is interested in task 8.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 6 is interested in task 5.\nHost 3 is interested in task 6.\nHost 3 is interested in task 4.\nHost 5 is interested in task 3.\nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 8.\nHost 2 is interested in task 1.\nHost 6 is interested in task 2.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 8.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 7.\nHost 0 is interested in task 8.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph323", "image": "data/matching/graph_visual/easy/graph323.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 1.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1.\nHost 5 is interested in task 1.\nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 5 is interested in task 5.\nHost 6 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph490", "image": "data/matching/graph_visual/easy/graph490.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 5 is interested in task 5.\nHost 6 is interested in task 9.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4.\nHost 5 is interested in task 4.\nHost 1 is interested in task 7.\nHost 1 is interested in task 5.\nHost 6 is interested in task 6.\nHost 0 is interested in task 8.\nHost 4 is interested in task 6.\nHost 0 is interested in task 6.\nHost 6 is interested in task 1.\nHost 7 is interested in task 7.\nHost 1 is interested in task 8.\nHost 7 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 2.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 4 is interested in task 7.\nHost 4 is interested in task 5.\nHost 4 is interested in task 9.\nHost 4 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 2.\nHost 0 is interested in task 7.\nHost 5 is interested in task 9.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 8.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph114", "image": "data/matching/graph_visual/easy/graph114.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph401", "image": "data/matching/graph_visual/easy/graph401.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 3.\nHost 7 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 0 is interested in task 2.\nHost 5 is interested in task 1.\nHost 6 is interested in task 2.\nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph518", "image": "data/matching/graph_visual/easy/graph518.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 7 is interested in task 5.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 3.\nHost 8 is interested in task 4.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 7 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 3.\nHost 6 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 6 is interested in task 2.\nHost 1 is interested in task 1.\nHost 8 is interested in task 5.\nHost 1 is interested in task 5.\nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 7 is interested in task 3.\nHost 6 is interested in task 5.\nHost 7 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 6.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph236", "image": "data/matching/graph_visual/easy/graph236.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph358", "image": "data/matching/graph_visual/easy/graph358.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 4 is interested in task 4.\nHost 2 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 0.\nHost 6 is interested in task 3.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph216", "image": "data/matching/graph_visual/easy/graph216.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph301", "image": "data/matching/graph_visual/easy/graph301.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 5 is interested in task 0.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 5 is interested in task 1.\nHost 1 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph470", "image": "data/matching/graph_visual/easy/graph470.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 1 is interested in task 8.\nHost 0 is interested in task 4.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 1 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 8.\nHost 7 is interested in task 8.\nHost 0 is interested in task 3.\nHost 2 is interested in task 7.\nHost 5 is interested in task 5.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 0.\nHost 5 is interested in task 8.\nHost 6 is interested in task 7.\nHost 3 is interested in task 5.\nHost 5 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 5.\nHost 5 is interested in task 7.\nHost 7 is interested in task 7.\nHost 6 is interested in task 3.\nHost 1 is interested in task 2.\nHost 5 is interested in task 6.\nHost 1 is interested in task 3.\nHost 2 is interested in task 8.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 2 is interested in task 6.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph588", "image": "data/matching/graph_visual/easy/graph588.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 9.\nHost 8 is interested in task 5.\nHost 4 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 10.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 4 is interested in task 10.\nHost 0 is interested in task 9.\nHost 2 is interested in task 6.\nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 5 is interested in task 10.\nHost 4 is interested in task 2.\nHost 3 is interested in task 1.\nHost 6 is interested in task 8.\nHost 3 is interested in task 4.\nHost 1 is interested in task 6.\nHost 5 is interested in task 4.\nHost 8 is interested in task 1.\nHost 0 is interested in task 10.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 7 is interested in task 10.\nHost 8 is interested in task 3.\nHost 6 is interested in task 5.\nHost 0 is interested in task 6.\nHost 8 is interested in task 6.\nHost 5 is interested in task 9.\nHost 2 is interested in task 10.\nHost 4 is interested in task 8.\nHost 3 is interested in task 0.\nHost 7 is interested in task 2.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph100", "image": "data/matching/graph_visual/easy/graph100.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph23", "image": "data/matching/graph_visual/easy/graph23.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph493", "image": "data/matching/graph_visual/easy/graph493.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 8.\nHost 5 is interested in task 9.\nHost 2 is interested in task 9.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 7.\nHost 4 is interested in task 7.\nHost 4 is interested in task 9.\nHost 5 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 0.\nHost 7 is interested in task 0.\nHost 3 is interested in task 9.\nHost 6 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 4.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 4 is interested in task 8.\nHost 2 is interested in task 5.\nHost 1 is interested in task 6.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 7 is interested in task 5.\nHost 2 is interested in task 7.\nHost 6 is interested in task 5.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph571", "image": "data/matching/graph_visual/easy/graph571.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 5 is interested in task 7.\nHost 8 is interested in task 0.\nHost 1 is interested in task 1.\nHost 8 is interested in task 4.\nHost 0 is interested in task 9.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 6 is interested in task 0.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 9.\nHost 4 is interested in task 1.\nHost 5 is interested in task 9.\nHost 2 is interested in task 9.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 8 is interested in task 9.\nHost 2 is interested in task 8.\nHost 0 is interested in task 8.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 6 is interested in task 9.\nHost 0 is interested in task 6.\nHost 0 is interested in task 5.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 7 is interested in task 6.\nHost 5 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph553", "image": "data/matching/graph_visual/easy/graph553.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 8 is interested in task 0.\nHost 5 is interested in task 4.\nHost 8 is interested in task 3.\nHost 0 is interested in task 7.\nHost 3 is interested in task 0.\nHost 7 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 3.\nHost 4 is interested in task 8.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 8.\nHost 6 is interested in task 6.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3.\nHost 2 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 6.\nHost 1 is interested in task 7.\nHost 5 is interested in task 6.\nHost 3 is interested in task 2.\nHost 5 is interested in task 0.\nHost 8 is interested in task 2.\nHost 1 is interested in task 6.\nHost 0 is interested in task 4.\nHost 7 is interested in task 5.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 0 is interested in task 2.\nHost 2 is interested in task 8.\nHost 7 is interested in task 1.\nHost 8 is interested in task 7.\nHost 1 is interested in task 0.\nHost 7 is interested in task 8.\nHost 2 is interested in task 5.\nHost 7 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph10", "image": "data/matching/graph_visual/easy/graph10.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "1." } ] }, { "id": "matching-easy-graph551", "image": "data/matching/graph_visual/easy/graph551.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 6.\nHost 7 is interested in task 4.\nHost 5 is interested in task 4.\nHost 6 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 8.\nHost 6 is interested in task 7.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 5.\nHost 7 is interested in task 3.\nHost 8 is interested in task 6.\nHost 6 is interested in task 5.\nHost 3 is interested in task 0.\nHost 7 is interested in task 0.\nHost 1 is interested in task 7.\nHost 3 is interested in task 7.\nHost 7 is interested in task 6.\nHost 0 is interested in task 8.\nHost 7 is interested in task 8.\nHost 7 is interested in task 5.\nHost 6 is interested in task 1.\nHost 4 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 7 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 6.\nHost 5 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph449", "image": "data/matching/graph_visual/easy/graph449.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 5.\nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 6 is interested in task 2.\nHost 6 is interested in task 4.\nHost 1 is interested in task 0.\nHost 5 is interested in task 6.\nHost 4 is interested in task 3.\nHost 7 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 6.\nHost 0 is interested in task 4.\nHost 4 is interested in task 7.\nHost 1 is interested in task 4.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 0 is interested in task 2.\nHost 0 is interested in task 7.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 2 is interested in task 7.\nHost 1 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 1.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph500", "image": "data/matching/graph_visual/easy/graph500.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 0 is interested in task 1.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 3 is interested in task 3.\nHost 7 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 5 is interested in task 0.\nHost 3 is interested in task 6.\nHost 5 is interested in task 4.\nHost 6 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 6 is interested in task 5.\nHost 8 is interested in task 6.\nHost 7 is interested in task 2.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6.\nHost 2 is interested in task 1.\nHost 8 is interested in task 4.\nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 7 is interested in task 4.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph70", "image": "data/matching/graph_visual/easy/graph70.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph21", "image": "data/matching/graph_visual/easy/graph21.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph209", "image": "data/matching/graph_visual/easy/graph209.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 5 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph527", "image": "data/matching/graph_visual/easy/graph527.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1.\nHost 6 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 5.\nHost 8 is interested in task 6.\nHost 4 is interested in task 7.\nHost 7 is interested in task 1.\nHost 2 is interested in task 7.\nHost 0 is interested in task 7.\nHost 3 is interested in task 0.\nHost 2 is interested in task 5.\nHost 5 is interested in task 5.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 6.\nHost 2 is interested in task 2.\nHost 8 is interested in task 5.\nHost 6 is interested in task 4.\nHost 1 is interested in task 4.\nHost 2 is interested in task 0.\nHost 7 is interested in task 0.\nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 8 is interested in task 2.\nHost 1 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph127", "image": "data/matching/graph_visual/easy/graph127.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph234", "image": "data/matching/graph_visual/easy/graph234.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph394", "image": "data/matching/graph_visual/easy/graph394.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 2 is interested in task 7.\nHost 6 is interested in task 8.\nHost 4 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 0 is interested in task 8.\nHost 0 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 8.\nHost 1 is interested in task 0.\nHost 6 is interested in task 2.\nHost 6 is interested in task 5.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 2 is interested in task 8.\nHost 5 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph587", "image": "data/matching/graph_visual/easy/graph587.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 8.\nHost 3 is interested in task 5.\nHost 5 is interested in task 9.\nHost 5 is interested in task 7.\nHost 0 is interested in task 7.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 6 is interested in task 8.\nHost 8 is interested in task 5.\nHost 7 is interested in task 8.\nHost 3 is interested in task 10.\nHost 4 is interested in task 9.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 5 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 8.\nHost 4 is interested in task 4.\nHost 1 is interested in task 10.\nHost 1 is interested in task 2.\nHost 8 is interested in task 0.\nHost 2 is interested in task 9.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 0 is interested in task 8.\nHost 1 is interested in task 7.\nHost 5 is interested in task 10.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8.\nHost 1 is interested in task 4.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 5 is interested in task 1.\nHost 0 is interested in task 10.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph413", "image": "data/matching/graph_visual/easy/graph413.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 7 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 7 is interested in task 3.\nHost 6 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 0.\nHost 5 is interested in task 0.\nHost 6 is interested in task 5.\nHost 1 is interested in task 5.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph44", "image": "data/matching/graph_visual/easy/graph44.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 0 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph585", "image": "data/matching/graph_visual/easy/graph585.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 9.\nHost 2 is interested in task 8.\nHost 5 is interested in task 3.\nHost 8 is interested in task 0.\nHost 1 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 6 is interested in task 5.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 8 is interested in task 1.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 9.\nHost 2 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 3.\nHost 4 is interested in task 0.\nHost 1 is interested in task 7.\nHost 2 is interested in task 9.\nHost 5 is interested in task 6.\nHost 5 is interested in task 1.\nHost 6 is interested in task 1.\nHost 6 is interested in task 4.\nHost 4 is interested in task 4.\nHost 1 is interested in task 4.\nHost 2 is interested in task 3.\nHost 8 is interested in task 8.\nHost 6 is interested in task 3.\nHost 0 is interested in task 9.\nHost 5 is interested in task 7.\nHost 1 is interested in task 0.\nHost 4 is interested in task 1.\nHost 4 is interested in task 8.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 1.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph400", "image": "data/matching/graph_visual/easy/graph400.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 7 is interested in task 0.\nHost 1 is interested in task 3.\nHost 6 is interested in task 0.\nHost 6 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph28", "image": "data/matching/graph_visual/easy/graph28.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph140", "image": "data/matching/graph_visual/easy/graph140.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph13", "image": "data/matching/graph_visual/easy/graph13.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph482", "image": "data/matching/graph_visual/easy/graph482.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 5.\nHost 7 is interested in task 2.\nHost 4 is interested in task 4.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 6.\nHost 7 is interested in task 8.\nHost 1 is interested in task 9.\nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 2.\nHost 7 is interested in task 7.\nHost 2 is interested in task 8.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 9.\nHost 1 is interested in task 7.\nHost 0 is interested in task 3.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph101", "image": "data/matching/graph_visual/easy/graph101.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph184", "image": "data/matching/graph_visual/easy/graph184.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 6.\nHost 2 is interested in task 3.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 4.\nHost 3 is interested in task 5.\nHost 1 is interested in task 6.\nHost 1 is interested in task 2.\nHost 1 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 6.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph548", "image": "data/matching/graph_visual/easy/graph548.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 3 is interested in task 3.\nHost 8 is interested in task 2.\nHost 2 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 2 is interested in task 8.\nHost 0 is interested in task 8.\nHost 6 is interested in task 8.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 3 is interested in task 4.\nHost 5 is interested in task 2.\nHost 1 is interested in task 8.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 7 is interested in task 8.\nHost 8 is interested in task 1.\nHost 4 is interested in task 7.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 0 is interested in task 4.\nHost 8 is interested in task 5.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 6.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 5 is interested in task 8.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 6.\nHost 5 is interested in task 7.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 2 is interested in task 2.\nHost 7 is interested in task 5.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 3 is interested in task 7.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 3.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph324", "image": "data/matching/graph_visual/easy/graph324.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 5.\nHost 6 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 4.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 5.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph598", "image": "data/matching/graph_visual/easy/graph598.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 4.\nHost 4 is interested in task 9.\nHost 8 is interested in task 8.\nHost 2 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 7 is interested in task 0.\nHost 8 is interested in task 7.\nHost 7 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 8.\nHost 5 is interested in task 5.\nHost 1 is interested in task 8.\nHost 7 is interested in task 6.\nHost 4 is interested in task 10.\nHost 3 is interested in task 10.\nHost 4 is interested in task 8.\nHost 8 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 5 is interested in task 3.\nHost 8 is interested in task 10.\nHost 8 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 1.\nHost 7 is interested in task 10.\nHost 2 is interested in task 2.\nHost 1 is interested in task 7.\nHost 6 is interested in task 4.\nHost 2 is interested in task 1.\nHost 5 is interested in task 6.\nHost 4 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 7.\nHost 0 is interested in task 8.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 5.\nHost 5 is interested in task 10.\nHost 8 is interested in task 3.\nHost 1 is interested in task 10.\nHost 4 is interested in task 5.\nHost 5 is interested in task 9.\nHost 4 is interested in task 4.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph517", "image": "data/matching/graph_visual/easy/graph517.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 8 is interested in task 2.\nHost 4 is interested in task 5.\nHost 3 is interested in task 6.\nHost 0 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 6.\nHost 3 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 2.\nHost 8 is interested in task 0.\nHost 2 is interested in task 3.\nHost 8 is interested in task 1.\nHost 8 is interested in task 5.\nHost 5 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 1.\nHost 0 is interested in task 5.\nHost 7 is interested in task 6.\nHost 8 is interested in task 4.\nHost 7 is interested in task 1.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph20", "image": "data/matching/graph_visual/easy/graph20.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph302", "image": "data/matching/graph_visual/easy/graph302.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 6 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 6 is interested in task 3.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph135", "image": "data/matching/graph_visual/easy/graph135.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph416", "image": "data/matching/graph_visual/easy/graph416.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 6 is interested in task 5.\nHost 5 is interested in task 1.\nHost 6 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 4 is interested in task 1.\nHost 5 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 0.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 2.\nHost 4 is interested in task 5.\nHost 6 is interested in task 0.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 7 is interested in task 5.\nHost 3 is interested in task 2.\nHost 7 is interested in task 1.\nHost 7 is interested in task 4.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph86", "image": "data/matching/graph_visual/easy/graph86.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 3 is interested in task 5.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph194", "image": "data/matching/graph_visual/easy/graph194.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 4 is interested in task 5.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 5.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph430", "image": "data/matching/graph_visual/easy/graph430.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 2 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 6 is interested in task 2.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 6.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 5 is interested in task 6.\nHost 0 is interested in task 1.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph264", "image": "data/matching/graph_visual/easy/graph264.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 5 is interested in task 5.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 1.\nHost 5 is interested in task 6.\nHost 4 is interested in task 6.\nHost 5 is interested in task 0.\nHost 3 is interested in task 4.\nHost 5 is interested in task 2.\nHost 1 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 5.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph249", "image": "data/matching/graph_visual/easy/graph249.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 5.\nHost 5 is interested in task 5.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph42", "image": "data/matching/graph_visual/easy/graph42.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph72", "image": "data/matching/graph_visual/easy/graph72.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph580", "image": "data/matching/graph_visual/easy/graph580.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 1 is interested in task 2.\nHost 6 is interested in task 0.\nHost 0 is interested in task 7.\nHost 3 is interested in task 4.\nHost 0 is interested in task 9.\nHost 4 is interested in task 5.\nHost 6 is interested in task 9.\nHost 0 is interested in task 6.\nHost 1 is interested in task 6.\nHost 7 is interested in task 6.\nHost 2 is interested in task 10.\nHost 4 is interested in task 0.\nHost 5 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 8.\nHost 7 is interested in task 0.\nHost 1 is interested in task 0.\nHost 8 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 7.\nHost 7 is interested in task 9.\nHost 5 is interested in task 1.\nHost 0 is interested in task 10.\nHost 1 is interested in task 3.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 7 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 9.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph471", "image": "data/matching/graph_visual/easy/graph471.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 1 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 8.\nHost 4 is interested in task 6.\nHost 7 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 8.\nHost 0 is interested in task 0.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 5.\nHost 7 is interested in task 4.\nHost 5 is interested in task 7.\nHost 7 is interested in task 8.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 7.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 7 is interested in task 5.\nHost 3 is interested in task 4.\nHost 0 is interested in task 8.\nHost 4 is interested in task 4.\nHost 5 is interested in task 2.\nHost 7 is interested in task 1.\nHost 6 is interested in task 6.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 5 is interested in task 5.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph263", "image": "data/matching/graph_visual/easy/graph263.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 3 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 6.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 5 is interested in task 3.\nHost 5 is interested in task 5.\nHost 0 is interested in task 6.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph68", "image": "data/matching/graph_visual/easy/graph68.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph372", "image": "data/matching/graph_visual/easy/graph372.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 6.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 6.\nHost 3 is interested in task 2.\nHost 3 is interested in task 6.\nHost 5 is interested in task 6.\nHost 0 is interested in task 0.\nHost 5 is interested in task 7.\nHost 3 is interested in task 7.\nHost 1 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 7.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph110", "image": "data/matching/graph_visual/easy/graph110.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph277", "image": "data/matching/graph_visual/easy/graph277.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 1 is interested in task 6.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 0 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph60", "image": "data/matching/graph_visual/easy/graph60.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 4.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph193", "image": "data/matching/graph_visual/easy/graph193.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 1 is interested in task 5.\nHost 2 is interested in task 2.\nHost 2 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 6.\nHost 3 is interested in task 3.\nHost 0 is interested in task 5.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph533", "image": "data/matching/graph_visual/easy/graph533.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 8 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 2.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 1.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 1 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 0.\nHost 4 is interested in task 0.\nHost 7 is interested in task 0.\nHost 0 is interested in task 6.\nHost 8 is interested in task 5.\nHost 6 is interested in task 7.\nHost 4 is interested in task 3.\nHost 8 is interested in task 1.\nHost 8 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 1 is interested in task 7.\nHost 6 is interested in task 3.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph557", "image": "data/matching/graph_visual/easy/graph557.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 1 is interested in task 4.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 2 is interested in task 2.\nHost 7 is interested in task 5.\nHost 6 is interested in task 1.\nHost 1 is interested in task 8.\nHost 0 is interested in task 8.\nHost 8 is interested in task 5.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 5 is interested in task 0.\nHost 8 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 7.\nHost 1 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 2 is interested in task 7.\nHost 5 is interested in task 6.\nHost 8 is interested in task 7.\nHost 7 is interested in task 8.\nHost 8 is interested in task 6.\nHost 2 is interested in task 6.\nHost 8 is interested in task 0.\nHost 2 is interested in task 1.\nHost 5 is interested in task 4.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph591", "image": "data/matching/graph_visual/easy/graph591.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 10.\nHost 2 is interested in task 9.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 9.\nHost 3 is interested in task 10.\nHost 4 is interested in task 0.\nHost 4 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 8.\nHost 8 is interested in task 5.\nHost 0 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 6.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 9.\nHost 1 is interested in task 9.\nHost 4 is interested in task 3.\nHost 4 is interested in task 10.\nHost 5 is interested in task 10.\nHost 2 is interested in task 6.\nHost 7 is interested in task 4.\nHost 5 is interested in task 8.\nHost 6 is interested in task 3.\nHost 0 is interested in task 9.\nHost 5 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 3.\nHost 8 is interested in task 1.\nHost 5 is interested in task 2.\nHost 1 is interested in task 1.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph104", "image": "data/matching/graph_visual/easy/graph104.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph572", "image": "data/matching/graph_visual/easy/graph572.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 5 is interested in task 0.\nHost 5 is interested in task 6.\nHost 8 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 0 is interested in task 9.\nHost 8 is interested in task 7.\nHost 8 is interested in task 2.\nHost 2 is interested in task 9.\nHost 7 is interested in task 3.\nHost 0 is interested in task 1.\nHost 8 is interested in task 9.\nHost 0 is interested in task 8.\nHost 2 is interested in task 8.\nHost 4 is interested in task 9.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph116", "image": "data/matching/graph_visual/easy/graph116.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph338", "image": "data/matching/graph_visual/easy/graph338.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 4 is interested in task 0.\nHost 5 is interested in task 2.\nHost 4 is interested in task 5.\nHost 0 is interested in task 5.\nHost 6 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 6 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 5.\nHost 0 is interested in task 3.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 5 is interested in task 5.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 6 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph214", "image": "data/matching/graph_visual/easy/graph214.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 0.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph93", "image": "data/matching/graph_visual/easy/graph93.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph427", "image": "data/matching/graph_visual/easy/graph427.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 6 is interested in task 1.\nHost 5 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 6.\nHost 1 is interested in task 2.\nHost 7 is interested in task 4.\nHost 3 is interested in task 6.\nHost 1 is interested in task 0.\nHost 6 is interested in task 4.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 5 is interested in task 0.\nHost 5 is interested in task 4.\nHost 2 is interested in task 4.\nHost 7 is interested in task 1.\nHost 7 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph136", "image": "data/matching/graph_visual/easy/graph136.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph419", "image": "data/matching/graph_visual/easy/graph419.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 0 is interested in task 0.\nHost 6 is interested in task 1.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 0 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 3.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 6 is interested in task 5.\nHost 0 is interested in task 5.\nHost 5 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph282", "image": "data/matching/graph_visual/easy/graph282.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 3 is interested in task 7.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 5 is interested in task 7.\nHost 3 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 1 is interested in task 1.\nHost 2 is interested in task 6.\nHost 5 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5.\nHost 4 is interested in task 5.\nHost 4 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 5 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph402", "image": "data/matching/graph_visual/easy/graph402.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 5.\nHost 2 is interested in task 0.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph473", "image": "data/matching/graph_visual/easy/graph473.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 5.\nHost 5 is interested in task 1.\nHost 7 is interested in task 7.\nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 6.\nHost 5 is interested in task 4.\nHost 7 is interested in task 6.\nHost 2 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 6.\nHost 7 is interested in task 2.\nHost 7 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 5.\nHost 6 is interested in task 0.\nHost 4 is interested in task 8.\nHost 0 is interested in task 7.\nHost 4 is interested in task 7.\nHost 7 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 2 is interested in task 8.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 0 is interested in task 1.\nHost 3 is interested in task 8.\nHost 7 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 8.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph505", "image": "data/matching/graph_visual/easy/graph505.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 3 is interested in task 4.\nHost 7 is interested in task 0.\nHost 5 is interested in task 2.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 0 is interested in task 6.\nHost 2 is interested in task 1.\nHost 6 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 2.\nHost 5 is interested in task 6.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 4.\nHost 8 is interested in task 3.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 6.\nHost 2 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph383", "image": "data/matching/graph_visual/easy/graph383.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 6 is interested in task 6.\nHost 1 is interested in task 3.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 5.\nHost 5 is interested in task 8.\nHost 3 is interested in task 6.\nHost 5 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 5 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 0.\nHost 4 is interested in task 6.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 2.\nHost 3 is interested in task 5.\nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 6 is interested in task 3.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 3 is interested in task 1.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph75", "image": "data/matching/graph_visual/easy/graph75.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph66", "image": "data/matching/graph_visual/easy/graph66.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph444", "image": "data/matching/graph_visual/easy/graph444.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2.\nHost 7 is interested in task 0.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 6 is interested in task 6.\nHost 2 is interested in task 1.\nHost 7 is interested in task 2.\nHost 5 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 5.\nHost 7 is interested in task 4.\nHost 6 is interested in task 7.\nHost 2 is interested in task 5.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 7.\nHost 7 is interested in task 6.\nHost 2 is interested in task 6.\nHost 3 is interested in task 7.\nHost 3 is interested in task 1.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph29", "image": "data/matching/graph_visual/easy/graph29.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph245", "image": "data/matching/graph_visual/easy/graph245.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 5 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 5.\nHost 2 is interested in task 1.\nHost 1 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 3.\nHost 5 is interested in task 2.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph308", "image": "data/matching/graph_visual/easy/graph308.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1.\nHost 6 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph195", "image": "data/matching/graph_visual/easy/graph195.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 0 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 0 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph49", "image": "data/matching/graph_visual/easy/graph49.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 3.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph439", "image": "data/matching/graph_visual/easy/graph439.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 3 is interested in task 5.\nHost 3 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 1 is interested in task 6.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 4.\nHost 1 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 5 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 7 is interested in task 6.\nHost 2 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 7 is interested in task 5.\nHost 4 is interested in task 5.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 6 is interested in task 2.\nHost 4 is interested in task 0.\nHost 6 is interested in task 1.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph350", "image": "data/matching/graph_visual/easy/graph350.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 6 is interested in task 4.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 5.\nHost 4 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 3.\nHost 4 is interested in task 6.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 6.\nHost 6 is interested in task 5.\nHost 6 is interested in task 2.\nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 6 is interested in task 1.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph411", "image": "data/matching/graph_visual/easy/graph411.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 7 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 7 is interested in task 2.\nHost 6 is interested in task 5.\nHost 3 is interested in task 5.\nHost 7 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 3.\nHost 3 is interested in task 2.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 4.\nHost 7 is interested in task 4.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph197", "image": "data/matching/graph_visual/easy/graph197.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph380", "image": "data/matching/graph_visual/easy/graph380.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 6 is interested in task 4.\nHost 6 is interested in task 2.\nHost 2 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 8.\nHost 3 is interested in task 2.\nHost 3 is interested in task 8.\nHost 2 is interested in task 3.\nHost 1 is interested in task 5.\nHost 0 is interested in task 5.\nHost 0 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 6 is interested in task 0.\nHost 1 is interested in task 8.\nHost 0 is interested in task 8.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 0 is interested in task 7.\nHost 2 is interested in task 6.\nHost 5 is interested in task 4.\nHost 5 is interested in task 5.\nHost 1 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 1 is interested in task 6.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph418", "image": "data/matching/graph_visual/easy/graph418.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 7 is interested in task 1.\nHost 2 is interested in task 0.\nHost 7 is interested in task 4.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 7 is interested in task 0.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 7 is interested in task 5.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 1 is interested in task 4.\nHost 7 is interested in task 2.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph255", "image": "data/matching/graph_visual/easy/graph255.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 5 is interested in task 2.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 0.\nHost 3 is interested in task 4.\nHost 1 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 5.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 3.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph173", "image": "data/matching/graph_visual/easy/graph173.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph541", "image": "data/matching/graph_visual/easy/graph541.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 0 is interested in task 4.\nHost 6 is interested in task 7.\nHost 7 is interested in task 8.\nHost 3 is interested in task 8.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 0 is interested in task 0.\nHost 7 is interested in task 0.\nHost 0 is interested in task 8.\nHost 5 is interested in task 5.\nHost 6 is interested in task 1.\nHost 7 is interested in task 4.\nHost 7 is interested in task 3.\nHost 0 is interested in task 5.\nHost 0 is interested in task 7.\nHost 2 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 7.\nHost 2 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 8 is interested in task 2.\nHost 4 is interested in task 8.\nHost 0 is interested in task 2.\nHost 8 is interested in task 5.\nHost 5 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 4 is interested in task 5.\nHost 7 is interested in task 7.\nHost 4 is interested in task 1.\nHost 6 is interested in task 8.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph382", "image": "data/matching/graph_visual/easy/graph382.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 8.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 3.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 7.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 0.\nHost 3 is interested in task 6.\nHost 5 is interested in task 8.\nHost 3 is interested in task 4.\nHost 2 is interested in task 4.\nHost 2 is interested in task 6.\nHost 4 is interested in task 5.\nHost 4 is interested in task 4.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 5 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph172", "image": "data/matching/graph_visual/easy/graph172.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 2.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph328", "image": "data/matching/graph_visual/easy/graph328.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 4 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 1.\nHost 6 is interested in task 5.\nHost 0 is interested in task 3.\nHost 6 is interested in task 0.\nHost 2 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 1.\nHost 6 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 6 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph239", "image": "data/matching/graph_visual/easy/graph239.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph578", "image": "data/matching/graph_visual/easy/graph578.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 0 is interested in task 9.\nHost 3 is interested in task 5.\nHost 8 is interested in task 3.\nHost 1 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 8.\nHost 4 is interested in task 4.\nHost 7 is interested in task 3.\nHost 3 is interested in task 0.\nHost 5 is interested in task 8.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 3 is interested in task 1.\nHost 1 is interested in task 9.\nHost 8 is interested in task 0.\nHost 2 is interested in task 6.\nHost 2 is interested in task 0.\nHost 3 is interested in task 9.\nHost 3 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 8 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph34", "image": "data/matching/graph_visual/easy/graph34.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph538", "image": "data/matching/graph_visual/easy/graph538.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 3 is interested in task 6.\nHost 8 is interested in task 5.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 4.\nHost 4 is interested in task 6.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 0 is interested in task 6.\nHost 1 is interested in task 4.\nHost 6 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 1.\nHost 7 is interested in task 0.\nHost 3 is interested in task 7.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 8 is interested in task 6.\nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 8 is interested in task 3.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph25", "image": "data/matching/graph_visual/easy/graph25.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph250", "image": "data/matching/graph_visual/easy/graph250.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 5.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph276", "image": "data/matching/graph_visual/easy/graph276.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 5 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 5 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph39", "image": "data/matching/graph_visual/easy/graph39.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph192", "image": "data/matching/graph_visual/easy/graph192.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 6.\nHost 3 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph74", "image": "data/matching/graph_visual/easy/graph74.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph51", "image": "data/matching/graph_visual/easy/graph51.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph108", "image": "data/matching/graph_visual/easy/graph108.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph54", "image": "data/matching/graph_visual/easy/graph54.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph124", "image": "data/matching/graph_visual/easy/graph124.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph102", "image": "data/matching/graph_visual/easy/graph102.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "2." } ] }, { "id": "matching-easy-graph182", "image": "data/matching/graph_visual/easy/graph182.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 2.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph111", "image": "data/matching/graph_visual/easy/graph111.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph120", "image": "data/matching/graph_visual/easy/graph120.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph30", "image": "data/matching/graph_visual/easy/graph30.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph174", "image": "data/matching/graph_visual/easy/graph174.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 5.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph254", "image": "data/matching/graph_visual/easy/graph254.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4.\nHost 1 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph467", "image": "data/matching/graph_visual/easy/graph467.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 7 is interested in task 8.\nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 7 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 5.\nHost 4 is interested in task 7.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2.\nHost 4 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 4.\nHost 7 is interested in task 4.\nHost 7 is interested in task 5.\nHost 2 is interested in task 4.\nHost 7 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 4 is interested in task 5.\nHost 5 is interested in task 0.\nHost 3 is interested in task 1.\nHost 7 is interested in task 3.\nHost 7 is interested in task 2.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 6.\nHost 3 is interested in task 8.\nHost 2 is interested in task 8.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph366", "image": "data/matching/graph_visual/easy/graph366.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 5 is interested in task 2.\nHost 1 is interested in task 4.\nHost 6 is interested in task 1.\nHost 3 is interested in task 5.\nHost 1 is interested in task 3.\nHost 0 is interested in task 2.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 6.\nHost 4 is interested in task 4.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 7.\nHost 3 is interested in task 4.\nHost 1 is interested in task 5.\nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 4 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5.\nHost 6 is interested in task 6.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 3.\nHost 5 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph384", "image": "data/matching/graph_visual/easy/graph384.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 7.\nHost 5 is interested in task 3.\nHost 2 is interested in task 7.\nHost 5 is interested in task 5.\nHost 5 is interested in task 1.\nHost 0 is interested in task 8.\nHost 1 is interested in task 0.\nHost 5 is interested in task 8.\nHost 2 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 6.\nHost 1 is interested in task 7.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 3 is interested in task 5.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 7.\nHost 1 is interested in task 8.\nHost 6 is interested in task 6.\nHost 0 is interested in task 0.\nHost 2 is interested in task 4.\nHost 4 is interested in task 7.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 8.\nHost 6 is interested in task 1.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph364", "image": "data/matching/graph_visual/easy/graph364.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 6.\nHost 1 is interested in task 3.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 6.\nHost 0 is interested in task 4.\nHost 6 is interested in task 1.\nHost 1 is interested in task 0.\nHost 6 is interested in task 7.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 1 is interested in task 7.\nHost 6 is interested in task 2.\nHost 3 is interested in task 5.\nHost 5 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph359", "image": "data/matching/graph_visual/easy/graph359.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 5.\nHost 5 is interested in task 1.\nHost 4 is interested in task 5.\nHost 5 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 0.\nHost 6 is interested in task 6.\nHost 5 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 4.\nHost 6 is interested in task 5.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph201", "image": "data/matching/graph_visual/easy/graph201.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 0 is interested in task 1.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph348", "image": "data/matching/graph_visual/easy/graph348.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 4.\nHost 6 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 1.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 4.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph296", "image": "data/matching/graph_visual/easy/graph296.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 1 is interested in task 7.\nHost 1 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 7.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph379", "image": "data/matching/graph_visual/easy/graph379.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 5 is interested in task 7.\nHost 5 is interested in task 5.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 6 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 7.\nHost 5 is interested in task 4.\nHost 0 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 3 is interested in task 2.\nHost 6 is interested in task 7.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph243", "image": "data/matching/graph_visual/easy/graph243.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 1 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 3.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 4 is interested in task 5.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph475", "image": "data/matching/graph_visual/easy/graph475.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 3 is interested in task 0.\nHost 3 is interested in task 6.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 3 is interested in task 1.\nHost 7 is interested in task 6.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 7 is interested in task 3.\nHost 2 is interested in task 7.\nHost 6 is interested in task 2.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 5.\nHost 1 is interested in task 8.\nHost 3 is interested in task 7.\nHost 2 is interested in task 1.\nHost 6 is interested in task 7.\nHost 7 is interested in task 0.\nHost 4 is interested in task 3.\nHost 7 is interested in task 5.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph95", "image": "data/matching/graph_visual/easy/graph95.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 2 is interested in task 4.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph535", "image": "data/matching/graph_visual/easy/graph535.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 3 is interested in task 6.\nHost 7 is interested in task 4.\nHost 0 is interested in task 6.\nHost 8 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 8 is interested in task 4.\nHost 7 is interested in task 2.\nHost 6 is interested in task 2.\nHost 2 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 7 is interested in task 5.\nHost 3 is interested in task 7.\nHost 0 is interested in task 3.\nHost 8 is interested in task 3.\nHost 1 is interested in task 6.\nHost 1 is interested in task 4.\nHost 6 is interested in task 1.\nHost 7 is interested in task 1.\nHost 4 is interested in task 4.\nHost 2 is interested in task 6.\nHost 0 is interested in task 4.\nHost 5 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 1.\nHost 6 is interested in task 6.\nHost 2 is interested in task 5.\nHost 4 is interested in task 1.\nHost 4 is interested in task 7.\nHost 6 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 2 is interested in task 3.\nHost 2 is interested in task 7.\nHost 3 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph98", "image": "data/matching/graph_visual/easy/graph98.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 3.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph596", "image": "data/matching/graph_visual/easy/graph596.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 3 is interested in task 0.\nHost 8 is interested in task 3.\nHost 8 is interested in task 4.\nHost 6 is interested in task 10.\nHost 3 is interested in task 5.\nHost 1 is interested in task 9.\nHost 8 is interested in task 2.\nHost 8 is interested in task 5.\nHost 2 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 6.\nHost 1 is interested in task 2.\nHost 7 is interested in task 9.\nHost 3 is interested in task 6.\nHost 7 is interested in task 10.\nHost 0 is interested in task 2.\nHost 5 is interested in task 9.\nHost 1 is interested in task 3.\nHost 0 is interested in task 6.\nHost 6 is interested in task 9.\nHost 5 is interested in task 1.\nHost 8 is interested in task 8.\nHost 6 is interested in task 3.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 7 is interested in task 7.\nHost 0 is interested in task 3.\nHost 2 is interested in task 10.\nHost 4 is interested in task 8.\nHost 5 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 6 is interested in task 6.\nHost 8 is interested in task 10.\nHost 0 is interested in task 5.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 10.\nHost 6 is interested in task 8.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph351", "image": "data/matching/graph_visual/easy/graph351.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1.\nHost 3 is interested in task 2.\nHost 6 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 5.\nHost 3 is interested in task 6.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 6 is interested in task 5.\nHost 5 is interested in task 2.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 6.\nHost 5 is interested in task 4.\nHost 6 is interested in task 6.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph515", "image": "data/matching/graph_visual/easy/graph515.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 2 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 5.\nHost 2 is interested in task 1.\nHost 8 is interested in task 6.\nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 2 is interested in task 2.\nHost 7 is interested in task 0.\nHost 8 is interested in task 1.\nHost 1 is interested in task 4.\nHost 7 is interested in task 1.\nHost 3 is interested in task 4.\nHost 6 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 5.\nHost 5 is interested in task 6.\nHost 7 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 2.\nHost 8 is interested in task 0.\nHost 5 is interested in task 5.\nHost 8 is interested in task 5.\nHost 4 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 4.\nHost 5 is interested in task 1.\nHost 8 is interested in task 3.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph362", "image": "data/matching/graph_visual/easy/graph362.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 0 is interested in task 2.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 3 is interested in task 1.\nHost 6 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 6.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 7.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 6 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 7.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph220", "image": "data/matching/graph_visual/easy/graph220.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph370", "image": "data/matching/graph_visual/easy/graph370.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 6 is interested in task 2.\nHost 6 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 6.\nHost 3 is interested in task 6.\nHost 1 is interested in task 2.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 7.\nHost 4 is interested in task 2.\nHost 1 is interested in task 7.\nHost 0 is interested in task 2.\nHost 6 is interested in task 7.\nHost 6 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph567", "image": "data/matching/graph_visual/easy/graph567.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 8 is interested in task 2.\nHost 1 is interested in task 0.\nHost 8 is interested in task 1.\nHost 6 is interested in task 9.\nHost 7 is interested in task 2.\nHost 8 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 9.\nHost 8 is interested in task 8.\nHost 7 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 7 is interested in task 9.\nHost 3 is interested in task 0.\nHost 4 is interested in task 5.\nHost 8 is interested in task 6.\nHost 7 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 4.\nHost 8 is interested in task 9.\nHost 0 is interested in task 7.\nHost 4 is interested in task 9.\nHost 0 is interested in task 2.\nHost 7 is interested in task 8.\nHost 3 is interested in task 1.\nHost 1 is interested in task 9.\nHost 0 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 1.\nHost 8 is interested in task 5.\nHost 5 is interested in task 6.\nHost 0 is interested in task 1.\nHost 5 is interested in task 2.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 7.\nHost 7 is interested in task 3.\nHost 5 is interested in task 7.\nHost 7 is interested in task 6.\nHost 3 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 4.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph431", "image": "data/matching/graph_visual/easy/graph431.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 3 is interested in task 6.\nHost 6 is interested in task 2.\nHost 1 is interested in task 0.\nHost 6 is interested in task 4.\nHost 5 is interested in task 1.\nHost 0 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 4.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 3.\nHost 3 is interested in task 5.\nHost 5 is interested in task 0.\nHost 7 is interested in task 2.\nHost 6 is interested in task 0.\nHost 6 is interested in task 5.\nHost 6 is interested in task 3.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 5.\nHost 1 is interested in task 6.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph346", "image": "data/matching/graph_visual/easy/graph346.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 6 is interested in task 5.\nHost 4 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 1.\nHost 6 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 5.\nHost 2 is interested in task 0.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 6 is interested in task 3.\nHost 4 is interested in task 5.\nHost 4 is interested in task 6.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 6 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph69", "image": "data/matching/graph_visual/easy/graph69.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "3." } ] }, { "id": "matching-easy-graph206", "image": "data/matching/graph_visual/easy/graph206.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph437", "image": "data/matching/graph_visual/easy/graph437.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 5 is interested in task 1.\nHost 5 is interested in task 4.\nHost 3 is interested in task 3.\nHost 6 is interested in task 6.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 5.\nHost 0 is interested in task 6.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 7 is interested in task 1.\nHost 6 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 4.\nHost 5 is interested in task 3.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 6.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 1 is interested in task 1.\nHost 6 is interested in task 5.\nHost 0 is interested in task 5.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph528", "image": "data/matching/graph_visual/easy/graph528.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 6 is interested in task 1.\nHost 7 is interested in task 5.\nHost 1 is interested in task 4.\nHost 8 is interested in task 5.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 8 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 1 is interested in task 5.\nHost 5 is interested in task 4.\nHost 6 is interested in task 5.\nHost 7 is interested in task 6.\nHost 5 is interested in task 6.\nHost 2 is interested in task 5.\nHost 7 is interested in task 1.\nHost 1 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 0 is interested in task 1.\nHost 3 is interested in task 5.\nHost 8 is interested in task 6.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-easy-graph371", "image": "data/matching/graph_visual/easy/graph371.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 6 is interested in task 2.\nHost 6 is interested in task 7.\nHost 0 is interested in task 7.\nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 7.\nHost 4 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 1.\nHost 5 is interested in task 1.\nHost 0 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 5.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph513", "image": "data/matching/graph_visual/easy/graph513.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 6.\nHost 1 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 5.\nHost 0 is interested in task 6.\nHost 0 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 0.\nHost 3 is interested in task 5.\nHost 7 is interested in task 2.\nHost 1 is interested in task 2.\nHost 4 is interested in task 5.\nHost 5 is interested in task 0.\nHost 3 is interested in task 3.\nHost 8 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 3 is interested in task 1.\nHost 3 is interested in task 6.\nHost 4 is interested in task 4.\nHost 1 is interested in task 1.\nHost 5 is interested in task 4.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-easy-graph341", "image": "data/matching/graph_visual/easy/graph341.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 0 is interested in task 6.\nHost 6 is interested in task 5.\nHost 2 is interested in task 1.\nHost 6 is interested in task 4.\nHost 2 is interested in task 6.\nHost 5 is interested in task 5.\nHost 2 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 5.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph257", "image": "data/matching/graph_visual/easy/graph257.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 5 is interested in task 4.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 4.\nHost 3 is interested in task 0.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph191", "image": "data/matching/graph_visual/easy/graph191.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 4 is interested in task 3.\nHost 1 is interested in task 6.\nHost 1 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph63", "image": "data/matching/graph_visual/easy/graph63.png", "conversations": [ { "from": "human", "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph406", "image": "data/matching/graph_visual/easy/graph406.png", "conversations": [ { "from": "human", "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 2 is interested in task 0.\nHost 5 is interested in task 1.\nHost 7 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 3.\nHost 7 is interested in task 1.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 1.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 5.\nHost 1 is interested in task 5.\nHost 4 is interested in task 0.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph152", "image": "data/matching/graph_visual/easy/graph152.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph187", "image": "data/matching/graph_visual/easy/graph187.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 0.\nHost 0 is interested in task 6.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph546", "image": "data/matching/graph_visual/easy/graph546.png", "conversations": [ { "from": "human", "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 8 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 1 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 5.\nHost 2 is interested in task 0.\nHost 6 is interested in task 8.\nHost 4 is interested in task 6.\nHost 4 is interested in task 2.\nHost 2 is interested in task 6.\nHost 2 is interested in task 8.\nHost 8 is interested in task 2.\nHost 7 is interested in task 0.\nHost 1 is interested in task 7.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 7 is interested in task 7.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 2 is interested in task 4.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 7 is interested in task 1.\nHost 0 is interested in task 8.\nHost 8 is interested in task 8.\nHost 3 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 8.\nHost 4 is interested in task 7.\nHost 3 is interested in task 5.\nHost 0 is interested in task 0.\nHost 8 is interested in task 4.\nHost 1 is interested in task 5.\nHost 2 is interested in task 5.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-easy-graph279", "image": "data/matching/graph_visual/easy/graph279.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 1.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 2 is interested in task 0.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 0 is interested in task 1.\nHost 5 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph147", "image": "data/matching/graph_visual/easy/graph147.png", "conversations": [ { "from": "human", "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "4." } ] }, { "id": "matching-easy-graph274", "image": "data/matching/graph_visual/easy/graph274.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 3.\nHost 4 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 6.\nHost 1 is interested in task 0.\nHost 2 is interested in task 6.\nHost 0 is interested in task 0.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0.\nHost 3 is interested in task 1.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 4 is interested in task 6.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "6." } ] }, { "id": "matching-easy-graph317", "image": "data/matching/graph_visual/easy/graph317.png", "conversations": [ { "from": "human", "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 5 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 4.\nHost 6 is interested in task 4.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-easy-graph235", "image": "data/matching/graph_visual/easy/graph235.png", "conversations": [ { "from": "human", "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 0.\nHost 5 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "5." } ] }, { "id": "matching-hard-graph733", "image": "data/matching/graph_visual/hard/graph733.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 1 is interested in task 6.\nHost 0 is interested in task 3.\nHost 12 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 12.\nHost 8 is interested in task 3.\nHost 5 is interested in task 0.\nHost 2 is interested in task 10.\nHost 10 is interested in task 8.\nHost 3 is interested in task 9.\nHost 10 is interested in task 12.\nHost 11 is interested in task 2.\nHost 4 is interested in task 2.\nHost 6 is interested in task 9.\nHost 10 is interested in task 7.\nHost 2 is interested in task 7.\nHost 10 is interested in task 0.\nHost 8 is interested in task 12.\nHost 6 is interested in task 2.\nHost 9 is interested in task 2.\nHost 7 is interested in task 11.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 3 is interested in task 8.\nHost 4 is interested in task 12.\nHost 8 is interested in task 6.\nHost 2 is interested in task 9.\nHost 1 is interested in task 7.\nHost 9 is interested in task 8.\nHost 3 is interested in task 10.\nHost 6 is interested in task 6.\nHost 2 is interested in task 6.\nHost 3 is interested in task 11.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 11.\nHost 10 is interested in task 11.\nHost 6 is interested in task 5.\nHost 12 is interested in task 8.\nHost 4 is interested in task 9.\nHost 5 is interested in task 10.\nHost 6 is interested in task 0.\nHost 5 is interested in task 11.\nHost 11 is interested in task 5.\nHost 5 is interested in task 7.\nHost 6 is interested in task 11.\nHost 8 is interested in task 10.\nHost 7 is interested in task 10.\nHost 7 is interested in task 3.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 8 is interested in task 0.\nHost 7 is interested in task 8.\nHost 9 is interested in task 11.\nHost 4 is interested in task 0.\nHost 4 is interested in task 10.\nHost 5 is interested in task 9.\nHost 12 is interested in task 2.\nHost 12 is interested in task 0.\nHost 5 is interested in task 12.\nHost 2 is interested in task 0.\nHost 11 is interested in task 11.\nHost 6 is interested in task 1.\nHost 3 is interested in task 7.\nHost 2 is interested in task 1.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 5 is interested in task 8.\nHost 2 is interested in task 4.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 9 is interested in task 3.\nHost 5 is interested in task 2.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph432", "image": "data/matching/graph_visual/hard/graph432.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 4 is interested in task 8.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 3.\nHost 6 is interested in task 3.\nHost 7 is interested in task 8.\nHost 7 is interested in task 0.\nHost 7 is interested in task 4.\nHost 6 is interested in task 5.\nHost 10 is interested in task 5.\nHost 5 is interested in task 3.\nHost 10 is interested in task 3.\nHost 0 is interested in task 2.\nHost 6 is interested in task 2.\nHost 6 is interested in task 6.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 6 is interested in task 0.\nHost 6 is interested in task 4.\nHost 4 is interested in task 1.\nHost 0 is interested in task 6.\nHost 11 is interested in task 1.\nHost 11 is interested in task 0.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 10 is interested in task 8.\nHost 8 is interested in task 4.\nHost 9 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 1 is interested in task 7.\nHost 5 is interested in task 4.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 8 is interested in task 7.\nHost 9 is interested in task 7.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph850", "image": "data/matching/graph_visual/hard/graph850.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 5.\nHost 11 is interested in task 7.\nHost 1 is interested in task 3.\nHost 9 is interested in task 4.\nHost 3 is interested in task 4.\nHost 8 is interested in task 8.\nHost 8 is interested in task 2.\nHost 8 is interested in task 7.\nHost 13 is interested in task 0.\nHost 5 is interested in task 7.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 6 is interested in task 2.\nHost 8 is interested in task 9.\nHost 0 is interested in task 7.\nHost 10 is interested in task 6.\nHost 1 is interested in task 2.\nHost 13 is interested in task 7.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 8 is interested in task 4.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 10 is interested in task 8.\nHost 2 is interested in task 3.\nHost 10 is interested in task 0.\nHost 12 is interested in task 7.\nHost 6 is interested in task 5.\nHost 10 is interested in task 9.\nHost 11 is interested in task 6.\nHost 8 is interested in task 3.\nHost 11 is interested in task 0.\nHost 11 is interested in task 5.\nHost 13 is interested in task 6.\nHost 8 is interested in task 1.\nHost 13 is interested in task 8.\nHost 4 is interested in task 10.\nHost 6 is interested in task 10.\nHost 2 is interested in task 0.\nHost 9 is interested in task 10.\nHost 6 is interested in task 8.\nHost 0 is interested in task 5.\nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 8 is interested in task 10.\nHost 9 is interested in task 8.\nHost 4 is interested in task 7.\nHost 1 is interested in task 10.\nHost 10 is interested in task 3.\nHost 7 is interested in task 3.\nHost 5 is interested in task 5.\nHost 11 is interested in task 1.\nHost 3 is interested in task 3.\nHost 12 is interested in task 2.\nHost 6 is interested in task 4.\nHost 12 is interested in task 6.\nHost 4 is interested in task 0.\nHost 13 is interested in task 4.\nHost 1 is interested in task 0.\nHost 9 is interested in task 6.\nHost 12 is interested in task 8.\nHost 9 is interested in task 7.\nHost 0 is interested in task 2.\nHost 10 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph867", "image": "data/matching/graph_visual/hard/graph867.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 9.\nHost 12 is interested in task 2.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 0 is interested in task 3.\nHost 13 is interested in task 9.\nHost 2 is interested in task 10.\nHost 8 is interested in task 2.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 7 is interested in task 0.\nHost 3 is interested in task 1.\nHost 1 is interested in task 9.\nHost 1 is interested in task 5.\nHost 8 is interested in task 8.\nHost 2 is interested in task 8.\nHost 13 is interested in task 3.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 6 is interested in task 9.\nHost 9 is interested in task 10.\nHost 11 is interested in task 10.\nHost 13 is interested in task 8.\nHost 9 is interested in task 0.\nHost 6 is interested in task 8.\nHost 3 is interested in task 7.\nHost 11 is interested in task 1.\nHost 7 is interested in task 5.\nHost 3 is interested in task 4.\nHost 7 is interested in task 9.\nHost 4 is interested in task 10.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 11 is interested in task 6.\nHost 12 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 9.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 1 is interested in task 7.\nHost 12 is interested in task 4.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 13 is interested in task 5.\nHost 2 is interested in task 0.\nHost 3 is interested in task 8.\nHost 7 is interested in task 7.\nHost 12 is interested in task 8.\nHost 13 is interested in task 4.\nHost 0 is interested in task 10.\nHost 5 is interested in task 0.\nHost 11 is interested in task 2.\nHost 7 is interested in task 10.\nHost 3 is interested in task 6.\nHost 2 is interested in task 1.\nHost 2 is interested in task 7.\nHost 6 is interested in task 3.\nHost 1 is interested in task 6.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph852", "image": "data/matching/graph_visual/hard/graph852.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 11 is interested in task 6.\nHost 7 is interested in task 7.\nHost 4 is interested in task 1.\nHost 9 is interested in task 1.\nHost 8 is interested in task 10.\nHost 5 is interested in task 6.\nHost 7 is interested in task 8.\nHost 3 is interested in task 10.\nHost 0 is interested in task 6.\nHost 9 is interested in task 8.\nHost 12 is interested in task 0.\nHost 8 is interested in task 7.\nHost 11 is interested in task 1.\nHost 9 is interested in task 7.\nHost 13 is interested in task 6.\nHost 7 is interested in task 10.\nHost 0 is interested in task 1.\nHost 7 is interested in task 3.\nHost 4 is interested in task 9.\nHost 2 is interested in task 8.\nHost 3 is interested in task 5.\nHost 9 is interested in task 6.\nHost 0 is interested in task 2.\nHost 1 is interested in task 10.\nHost 4 is interested in task 8.\nHost 5 is interested in task 9.\nHost 12 is interested in task 1.\nHost 7 is interested in task 4.\nHost 8 is interested in task 2.\nHost 10 is interested in task 0.\nHost 11 is interested in task 8.\nHost 3 is interested in task 9.\nHost 6 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 1.\nHost 6 is interested in task 4.\nHost 9 is interested in task 10.\nHost 10 is interested in task 6.\nHost 9 is interested in task 9.\nHost 2 is interested in task 4.\nHost 2 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 4.\nHost 12 is interested in task 5.\nHost 4 is interested in task 3.\nHost 7 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 2.\nHost 12 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 10.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 13 is interested in task 7.\nHost 1 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 7.\nHost 8 is interested in task 6.\nHost 9 is interested in task 5.\nHost 3 is interested in task 3.\nHost 10 is interested in task 4.\nHost 11 is interested in task 2.\nHost 6 is interested in task 7.\nHost 12 is interested in task 9.\nHost 5 is interested in task 0.\nHost 3 is interested in task 2.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph541", "image": "data/matching/graph_visual/hard/graph541.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4.\nHost 3 is interested in task 1.\nHost 7 is interested in task 12.\nHost 11 is interested in task 8.\nHost 2 is interested in task 11.\nHost 7 is interested in task 7.\nHost 3 is interested in task 11.\nHost 0 is interested in task 5.\nHost 1 is interested in task 8.\nHost 4 is interested in task 11.\nHost 11 is interested in task 11.\nHost 6 is interested in task 2.\nHost 5 is interested in task 12.\nHost 2 is interested in task 10.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 3 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 5.\nHost 10 is interested in task 10.\nHost 3 is interested in task 9.\nHost 7 is interested in task 11.\nHost 6 is interested in task 8.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 1 is interested in task 0.\nHost 8 is interested in task 7.\nHost 9 is interested in task 8.\nHost 7 is interested in task 6.\nHost 6 is interested in task 10.\nHost 6 is interested in task 9.\nHost 3 is interested in task 6.\nHost 8 is interested in task 9.\nHost 7 is interested in task 0.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 6.\nHost 5 is interested in task 0.\nHost 3 is interested in task 10.\nHost 1 is interested in task 2.\nHost 2 is interested in task 8.\nHost 5 is interested in task 9.\nHost 11 is interested in task 10.\nHost 3 is interested in task 0.\nHost 9 is interested in task 5.\nHost 6 is interested in task 1.\nHost 8 is interested in task 2.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph473", "image": "data/matching/graph_visual/hard/graph473.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 11 is interested in task 5.\nHost 11 is interested in task 0.\nHost 8 is interested in task 8.\nHost 3 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 9.\nHost 2 is interested in task 7.\nHost 4 is interested in task 3.\nHost 11 is interested in task 4.\nHost 0 is interested in task 9.\nHost 10 is interested in task 3.\nHost 10 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 2.\nHost 0 is interested in task 1.\nHost 5 is interested in task 4.\nHost 7 is interested in task 0.\nHost 7 is interested in task 3.\nHost 5 is interested in task 5.\nHost 4 is interested in task 0.\nHost 11 is interested in task 6.\nHost 9 is interested in task 4.\nHost 7 is interested in task 8.\nHost 2 is interested in task 0.\nHost 6 is interested in task 9.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 5 is interested in task 1.\nHost 7 is interested in task 5.\nHost 1 is interested in task 2.\nHost 6 is interested in task 3.\nHost 10 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 8.\nHost 4 is interested in task 8.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph984", "image": "data/matching/graph_visual/hard/graph984.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 13.\nHost 10 is interested in task 12.\nHost 11 is interested in task 4.\nHost 3 is interested in task 13.\nHost 5 is interested in task 11.\nHost 0 is interested in task 8.\nHost 11 is interested in task 13.\nHost 1 is interested in task 7.\nHost 1 is interested in task 1.\nHost 6 is interested in task 8.\nHost 5 is interested in task 10.\nHost 7 is interested in task 2.\nHost 0 is interested in task 11.\nHost 4 is interested in task 11.\nHost 8 is interested in task 10.\nHost 11 is interested in task 9.\nHost 4 is interested in task 8.\nHost 4 is interested in task 5.\nHost 3 is interested in task 11.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 10 is interested in task 8.\nHost 4 is interested in task 1.\nHost 2 is interested in task 9.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 9 is interested in task 14.\nHost 3 is interested in task 9.\nHost 13 is interested in task 9.\nHost 0 is interested in task 1.\nHost 10 is interested in task 1.\nHost 7 is interested in task 4.\nHost 13 is interested in task 3.\nHost 0 is interested in task 4.\nHost 5 is interested in task 6.\nHost 4 is interested in task 13.\nHost 9 is interested in task 3.\nHost 0 is interested in task 10.\nHost 6 is interested in task 2.\nHost 0 is interested in task 12.\nHost 4 is interested in task 12.\nHost 0 is interested in task 6.\nHost 10 is interested in task 2.\nHost 12 is interested in task 1.\nHost 7 is interested in task 14.\nHost 3 is interested in task 12.\nHost 1 is interested in task 5.\nHost 1 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 11.\nHost 12 is interested in task 5.\nHost 10 is interested in task 3.\nHost 0 is interested in task 14.\nHost 3 is interested in task 10.\nHost 8 is interested in task 0.\nHost 5 is interested in task 5.\nHost 7 is interested in task 3.\nHost 9 is interested in task 6.\nHost 8 is interested in task 13.\nHost 2 is interested in task 11.\nHost 2 is interested in task 8.\nHost 12 is interested in task 4.\nHost 1 is interested in task 12.\nHost 3 is interested in task 8.\nHost 7 is interested in task 10.\nHost 3 is interested in task 14.\nHost 4 is interested in task 2.\nHost 12 is interested in task 8.\nHost 9 is interested in task 4.\nHost 4 is interested in task 7.\nHost 12 is interested in task 11.\nHost 2 is interested in task 14.\nHost 0 is interested in task 5.\nHost 4 is interested in task 0.\nHost 9 is interested in task 7.\nHost 10 is interested in task 14.\nHost 1 is interested in task 13.\nHost 11 is interested in task 10.\nHost 10 is interested in task 13.\nHost 7 is interested in task 0.\nHost 10 is interested in task 0.\nHost 4 is interested in task 10.\nHost 6 is interested in task 1.\nHost 2 is interested in task 4.\nHost 3 is interested in task 2.\nHost 11 is interested in task 5.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1204", "image": "data/matching/graph_visual/hard/graph1204.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 6 is interested in task 3.\nHost 0 is interested in task 9.\nHost 5 is interested in task 1.\nHost 7 is interested in task 16.\nHost 0 is interested in task 12.\nHost 12 is interested in task 4.\nHost 5 is interested in task 8.\nHost 3 is interested in task 14.\nHost 0 is interested in task 5.\nHost 13 is interested in task 14.\nHost 11 is interested in task 1.\nHost 12 is interested in task 0.\nHost 10 is interested in task 10.\nHost 13 is interested in task 15.\nHost 2 is interested in task 13.\nHost 14 is interested in task 7.\nHost 6 is interested in task 0.\nHost 12 is interested in task 3.\nHost 12 is interested in task 16.\nHost 6 is interested in task 11.\nHost 3 is interested in task 0.\nHost 12 is interested in task 10.\nHost 8 is interested in task 12.\nHost 7 is interested in task 8.\nHost 7 is interested in task 12.\nHost 11 is interested in task 16.\nHost 0 is interested in task 14.\nHost 1 is interested in task 14.\nHost 0 is interested in task 6.\nHost 0 is interested in task 8.\nHost 5 is interested in task 13.\nHost 7 is interested in task 4.\nHost 10 is interested in task 9.\nHost 12 is interested in task 15.\nHost 1 is interested in task 7.\nHost 2 is interested in task 0.\nHost 8 is interested in task 8.\nHost 12 is interested in task 5.\nHost 7 is interested in task 11.\nHost 12 is interested in task 11.\nHost 3 is interested in task 16.\nHost 4 is interested in task 12.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 13 is interested in task 2.\nHost 6 is interested in task 14.\nHost 13 is interested in task 3.\nHost 13 is interested in task 8.\nHost 6 is interested in task 9.\nHost 1 is interested in task 6.\nHost 8 is interested in task 14.\nHost 3 is interested in task 5.\nHost 12 is interested in task 1.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 8 is interested in task 3.\nHost 12 is interested in task 8.\nHost 10 is interested in task 5.\nHost 6 is interested in task 5.\nHost 0 is interested in task 13.\nHost 3 is interested in task 9.\nHost 7 is interested in task 1.\nHost 11 is interested in task 2.\nHost 12 is interested in task 13.\nHost 9 is interested in task 9.\nHost 3 is interested in task 2.\nHost 11 is interested in task 9.\nHost 13 is interested in task 4.\nHost 9 is interested in task 8.\nHost 12 is interested in task 7.\nHost 0 is interested in task 7.\nHost 2 is interested in task 9.\nHost 4 is interested in task 13.\nHost 3 is interested in task 7.\nHost 7 is interested in task 10.\nHost 9 is interested in task 12.\nHost 11 is interested in task 0.\nHost 9 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 8.\nHost 14 is interested in task 0.\nHost 11 is interested in task 11.\nHost 1 is interested in task 2.\nHost 8 is interested in task 16.\nHost 12 is interested in task 2.\nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 11 is interested in task 13.\nHost 7 is interested in task 9.\nHost 6 is interested in task 4.\nHost 1 is interested in task 11.\nHost 14 is interested in task 2.\nHost 8 is interested in task 5.\nHost 2 is interested in task 14.\nHost 10 is interested in task 13.\nHost 13 is interested in task 7.\nHost 6 is interested in task 2.\nHost 9 is interested in task 16.\nHost 9 is interested in task 15.\nHost 8 is interested in task 7.\nHost 8 is interested in task 10.\nHost 12 is interested in task 6.\nHost 3 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph279", "image": "data/matching/graph_visual/hard/graph279.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 8 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 7 is interested in task 7.\nHost 8 is interested in task 0.\nHost 5 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 6.\nHost 8 is interested in task 4.\nHost 3 is interested in task 8.\nHost 10 is interested in task 7.\nHost 5 is interested in task 5.\nHost 6 is interested in task 1.\nHost 0 is interested in task 7.\nHost 2 is interested in task 4.\nHost 3 is interested in task 4.\nHost 6 is interested in task 0.\nHost 4 is interested in task 8.\nHost 7 is interested in task 6.\nHost 5 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 9.\nHost 6 is interested in task 3.\nHost 10 is interested in task 8.\nHost 1 is interested in task 6.\nHost 8 is interested in task 1.\nHost 6 is interested in task 8.\nHost 1 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 5 is interested in task 8.\nHost 2 is interested in task 8.\nHost 9 is interested in task 6.\nHost 2 is interested in task 1.\nHost 0 is interested in task 5.\nHost 0 is interested in task 8.\nHost 7 is interested in task 2.\nHost 9 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph248", "image": "data/matching/graph_visual/hard/graph248.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 6.\nHost 4 is interested in task 4.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 2 is interested in task 8.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 4 is interested in task 2.\nHost 8 is interested in task 4.\nHost 10 is interested in task 5.\nHost 1 is interested in task 0.\nHost 0 is interested in task 7.\nHost 9 is interested in task 1.\nHost 6 is interested in task 3.\nHost 10 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 6 is interested in task 0.\nHost 7 is interested in task 8.\nHost 10 is interested in task 1.\nHost 6 is interested in task 2.\nHost 10 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 8.\nHost 2 is interested in task 4.\nHost 6 is interested in task 6.\nHost 6 is interested in task 7.\nHost 9 is interested in task 0.\nHost 10 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 5.\nHost 7 is interested in task 2.\nHost 2 is interested in task 5.\nHost 2 is interested in task 7.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 4 is interested in task 8.\nHost 5 is interested in task 5.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph939", "image": "data/matching/graph_visual/hard/graph939.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 7 is interested in task 4.\nHost 8 is interested in task 8.\nHost 11 is interested in task 9.\nHost 9 is interested in task 9.\nHost 3 is interested in task 2.\nHost 6 is interested in task 9.\nHost 8 is interested in task 9.\nHost 12 is interested in task 6.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 11 is interested in task 0.\nHost 12 is interested in task 4.\nHost 9 is interested in task 6.\nHost 4 is interested in task 3.\nHost 3 is interested in task 11.\nHost 5 is interested in task 10.\nHost 7 is interested in task 11.\nHost 0 is interested in task 9.\nHost 4 is interested in task 10.\nHost 4 is interested in task 5.\nHost 4 is interested in task 12.\nHost 12 is interested in task 5.\nHost 0 is interested in task 0.\nHost 11 is interested in task 13.\nHost 6 is interested in task 1.\nHost 3 is interested in task 5.\nHost 2 is interested in task 1.\nHost 0 is interested in task 10.\nHost 13 is interested in task 13.\nHost 4 is interested in task 9.\nHost 6 is interested in task 0.\nHost 3 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 4.\nHost 2 is interested in task 3.\nHost 6 is interested in task 2.\nHost 12 is interested in task 8.\nHost 1 is interested in task 5.\nHost 11 is interested in task 7.\nHost 8 is interested in task 11.\nHost 2 is interested in task 0.\nHost 12 is interested in task 0.\nHost 0 is interested in task 13.\nHost 9 is interested in task 12.\nHost 3 is interested in task 8.\nHost 11 is interested in task 5.\nHost 3 is interested in task 6.\nHost 12 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 9.\nHost 8 is interested in task 3.\nHost 10 is interested in task 3.\nHost 6 is interested in task 8.\nHost 13 is interested in task 8.\nHost 2 is interested in task 9.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 13 is interested in task 11.\nHost 9 is interested in task 2.\nHost 4 is interested in task 6.\nHost 4 is interested in task 1.\nHost 2 is interested in task 13.\nHost 2 is interested in task 5.\nHost 7 is interested in task 0.\nHost 4 is interested in task 8.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph198", "image": "data/matching/graph_visual/hard/graph198.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 10.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 9 is interested in task 9.\nHost 5 is interested in task 11.\nHost 8 is interested in task 9.\nHost 3 is interested in task 5.\nHost 9 is interested in task 2.\nHost 1 is interested in task 10.\nHost 0 is interested in task 9.\nHost 8 is interested in task 10.\nHost 3 is interested in task 2.\nHost 2 is interested in task 9.\nHost 7 is interested in task 4.\nHost 6 is interested in task 11.\nHost 2 is interested in task 5.\nHost 7 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 4 is interested in task 8.\nHost 0 is interested in task 8.\nHost 7 is interested in task 7.\nHost 8 is interested in task 4.\nHost 5 is interested in task 12.\nHost 6 is interested in task 7.\nHost 8 is interested in task 2.\nHost 8 is interested in task 7.\nHost 0 is interested in task 7.\nHost 9 is interested in task 10.\nHost 2 is interested in task 12.\nHost 4 is interested in task 12.\nHost 4 is interested in task 10.\nHost 5 is interested in task 0.\nHost 8 is interested in task 5.\nHost 3 is interested in task 6.\nHost 4 is interested in task 4.\nHost 8 is interested in task 12.\nHost 1 is interested in task 2.\nHost 1 is interested in task 9.\nHost 1 is interested in task 5.\nHost 3 is interested in task 9.\nHost 4 is interested in task 9.\nHost 4 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1.\nHost 3 is interested in task 10.\nHost 3 is interested in task 1.\nHost 2 is interested in task 7.\nHost 3 is interested in task 4.\nHost 1 is interested in task 12.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 8 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph735", "image": "data/matching/graph_visual/hard/graph735.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 8.\nHost 5 is interested in task 3.\nHost 8 is interested in task 1.\nHost 9 is interested in task 7.\nHost 12 is interested in task 3.\nHost 5 is interested in task 6.\nHost 9 is interested in task 8.\nHost 12 is interested in task 9.\nHost 11 is interested in task 10.\nHost 12 is interested in task 10.\nHost 3 is interested in task 11.\nHost 5 is interested in task 9.\nHost 1 is interested in task 6.\nHost 10 is interested in task 2.\nHost 0 is interested in task 6.\nHost 1 is interested in task 9.\nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 10 is interested in task 8.\nHost 6 is interested in task 11.\nHost 0 is interested in task 4.\nHost 11 is interested in task 6.\nHost 12 is interested in task 8.\nHost 7 is interested in task 8.\nHost 1 is interested in task 1.\nHost 8 is interested in task 11.\nHost 9 is interested in task 12.\nHost 2 is interested in task 3.\nHost 7 is interested in task 9.\nHost 7 is interested in task 10.\nHost 9 is interested in task 9.\nHost 5 is interested in task 12.\nHost 7 is interested in task 7.\nHost 10 is interested in task 9.\nHost 3 is interested in task 12.\nHost 10 is interested in task 4.\nHost 3 is interested in task 4.\nHost 5 is interested in task 7.\nHost 0 is interested in task 10.\nHost 3 is interested in task 7.\nHost 11 is interested in task 3.\nHost 2 is interested in task 2.\nHost 5 is interested in task 11.\nHost 5 is interested in task 5.\nHost 5 is interested in task 0.\nHost 11 is interested in task 9.\nHost 12 is interested in task 5.\nHost 12 is interested in task 11.\nHost 2 is interested in task 9.\nHost 9 is interested in task 10.\nHost 2 is interested in task 10.\nHost 7 is interested in task 1.\nHost 10 is interested in task 7.\nHost 6 is interested in task 9.\nHost 11 is interested in task 12.\nHost 7 is interested in task 0.\nHost 10 is interested in task 6.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 8 is interested in task 12.\nHost 3 is interested in task 3.\nHost 3 is interested in task 6.\nHost 5 is interested in task 10.\nHost 7 is interested in task 4.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph498", "image": "data/matching/graph_visual/hard/graph498.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 2 is interested in task 7.\nHost 6 is interested in task 5.\nHost 6 is interested in task 1.\nHost 5 is interested in task 9.\nHost 7 is interested in task 3.\nHost 7 is interested in task 9.\nHost 0 is interested in task 5.\nHost 10 is interested in task 6.\nHost 11 is interested in task 7.\nHost 8 is interested in task 7.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 7.\nHost 4 is interested in task 10.\nHost 8 is interested in task 1.\nHost 4 is interested in task 5.\nHost 11 is interested in task 9.\nHost 5 is interested in task 4.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 10 is interested in task 1.\nHost 3 is interested in task 10.\nHost 1 is interested in task 8.\nHost 9 is interested in task 1.\nHost 7 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 7.\nHost 5 is interested in task 2.\nHost 4 is interested in task 9.\nHost 2 is interested in task 0.\nHost 9 is interested in task 7.\nHost 5 is interested in task 1.\nHost 10 is interested in task 10.\nHost 3 is interested in task 5.\nHost 1 is interested in task 3.\nHost 8 is interested in task 10.\nHost 10 is interested in task 4.\nHost 10 is interested in task 3.\nHost 3 is interested in task 9.\nHost 11 is interested in task 10.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 4 is interested in task 8.\nHost 7 is interested in task 10.\nHost 4 is interested in task 6.\nHost 1 is interested in task 4.\nHost 10 is interested in task 2.\nHost 4 is interested in task 3.\nHost 7 is interested in task 8.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1159", "image": "data/matching/graph_visual/hard/graph1159.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 14 is interested in task 14.\nHost 1 is interested in task 13.\nHost 13 is interested in task 13.\nHost 1 is interested in task 12.\nHost 4 is interested in task 2.\nHost 10 is interested in task 2.\nHost 8 is interested in task 0.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 11 is interested in task 14.\nHost 13 is interested in task 8.\nHost 12 is interested in task 3.\nHost 14 is interested in task 8.\nHost 7 is interested in task 12.\nHost 7 is interested in task 13.\nHost 13 is interested in task 2.\nHost 2 is interested in task 11.\nHost 8 is interested in task 14.\nHost 6 is interested in task 8.\nHost 7 is interested in task 4.\nHost 7 is interested in task 7.\nHost 12 is interested in task 7.\nHost 11 is interested in task 2.\nHost 4 is interested in task 13.\nHost 3 is interested in task 9.\nHost 2 is interested in task 1.\nHost 12 is interested in task 12.\nHost 5 is interested in task 13.\nHost 8 is interested in task 3.\nHost 12 is interested in task 4.\nHost 12 is interested in task 9.\nHost 5 is interested in task 3.\nHost 6 is interested in task 5.\nHost 0 is interested in task 9.\nHost 12 is interested in task 8.\nHost 1 is interested in task 6.\nHost 7 is interested in task 9.\nHost 7 is interested in task 6.\nHost 14 is interested in task 13.\nHost 4 is interested in task 5.\nHost 6 is interested in task 6.\nHost 5 is interested in task 14.\nHost 1 is interested in task 2.\nHost 1 is interested in task 11.\nHost 11 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 9.\nHost 2 is interested in task 6.\nHost 8 is interested in task 1.\nHost 0 is interested in task 7.\nHost 7 is interested in task 14.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 14 is interested in task 1.\nHost 10 is interested in task 4.\nHost 12 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 3.\nHost 8 is interested in task 4.\nHost 9 is interested in task 7.\nHost 7 is interested in task 0.\nHost 0 is interested in task 1.\nHost 10 is interested in task 8.\nHost 4 is interested in task 11.\nHost 8 is interested in task 13.\nHost 0 is interested in task 11.\nHost 2 is interested in task 0.\nHost 2 is interested in task 8.\nHost 5 is interested in task 12.\nHost 1 is interested in task 0.\nHost 2 is interested in task 14.\nHost 14 is interested in task 3.\nHost 8 is interested in task 8.\nHost 5 is interested in task 2.\nHost 2 is interested in task 10.\nHost 10 is interested in task 9.\nHost 2 is interested in task 13.\nHost 4 is interested in task 9.\nHost 6 is interested in task 9.\nHost 10 is interested in task 6.\nHost 6 is interested in task 7.\nHost 11 is interested in task 7.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph651", "image": "data/matching/graph_visual/hard/graph651.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 3 is interested in task 7.\nHost 11 is interested in task 7.\nHost 1 is interested in task 1.\nHost 5 is interested in task 0.\nHost 5 is interested in task 9.\nHost 10 is interested in task 9.\nHost 7 is interested in task 8.\nHost 4 is interested in task 9.\nHost 3 is interested in task 9.\nHost 8 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 9.\nHost 7 is interested in task 0.\nHost 6 is interested in task 5.\nHost 1 is interested in task 6.\nHost 11 is interested in task 4.\nHost 8 is interested in task 8.\nHost 1 is interested in task 2.\nHost 6 is interested in task 3.\nHost 6 is interested in task 7.\nHost 10 is interested in task 0.\nHost 0 is interested in task 4.\nHost 11 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 10 is interested in task 8.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 8 is interested in task 5.\nHost 0 is interested in task 5.\nHost 3 is interested in task 3.\nHost 8 is interested in task 9.\nHost 1 is interested in task 4.\nHost 10 is interested in task 3.\nHost 2 is interested in task 9.\nHost 2 is interested in task 8.\nHost 2 is interested in task 6.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 7 is interested in task 6.\nHost 9 is interested in task 9.\nHost 10 is interested in task 6.\nHost 2 is interested in task 7.\nHost 7 is interested in task 1.\nHost 5 is interested in task 8.\nHost 10 is interested in task 1.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 11 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 2.\nHost 12 is interested in task 6.\nHost 0 is interested in task 9.\nHost 10 is interested in task 2.\nHost 8 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph213", "image": "data/matching/graph_visual/hard/graph213.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 9 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 4 is interested in task 7.\nHost 10 is interested in task 7.\nHost 10 is interested in task 4.\nHost 3 is interested in task 5.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 1 is interested in task 6.\nHost 8 is interested in task 2.\nHost 0 is interested in task 6.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 6 is interested in task 6.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0.\nHost 10 is interested in task 6.\nHost 0 is interested in task 4.\nHost 8 is interested in task 5.\nHost 6 is interested in task 4.\nHost 7 is interested in task 0.\nHost 10 is interested in task 1.\nHost 3 is interested in task 7.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 10 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 8 is interested in task 7.\nHost 10 is interested in task 3.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 9 is interested in task 0.\nHost 6 is interested in task 5.\nHost 1 is interested in task 3.\nHost 9 is interested in task 4.\nHost 10 is interested in task 0.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph878", "image": "data/matching/graph_visual/hard/graph878.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 8 is interested in task 10.\nHost 10 is interested in task 7.\nHost 11 is interested in task 9.\nHost 4 is interested in task 5.\nHost 4 is interested in task 6.\nHost 9 is interested in task 11.\nHost 0 is interested in task 11.\nHost 1 is interested in task 4.\nHost 8 is interested in task 6.\nHost 6 is interested in task 10.\nHost 0 is interested in task 3.\nHost 8 is interested in task 1.\nHost 3 is interested in task 0.\nHost 12 is interested in task 11.\nHost 7 is interested in task 9.\nHost 4 is interested in task 8.\nHost 5 is interested in task 10.\nHost 10 is interested in task 4.\nHost 1 is interested in task 6.\nHost 12 is interested in task 9.\nHost 6 is interested in task 2.\nHost 6 is interested in task 4.\nHost 13 is interested in task 7.\nHost 3 is interested in task 11.\nHost 13 is interested in task 5.\nHost 13 is interested in task 9.\nHost 11 is interested in task 7.\nHost 3 is interested in task 2.\nHost 10 is interested in task 10.\nHost 0 is interested in task 2.\nHost 5 is interested in task 8.\nHost 7 is interested in task 2.\nHost 2 is interested in task 6.\nHost 1 is interested in task 1.\nHost 7 is interested in task 10.\nHost 8 is interested in task 0.\nHost 10 is interested in task 3.\nHost 10 is interested in task 6.\nHost 8 is interested in task 9.\nHost 10 is interested in task 9.\nHost 6 is interested in task 9.\nHost 1 is interested in task 11.\nHost 4 is interested in task 1.\nHost 11 is interested in task 5.\nHost 0 is interested in task 0.\nHost 10 is interested in task 2.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 9 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 7 is interested in task 8.\nHost 2 is interested in task 8.\nHost 10 is interested in task 0.\nHost 4 is interested in task 10.\nHost 7 is interested in task 5.\nHost 6 is interested in task 5.\nHost 8 is interested in task 3.\nHost 11 is interested in task 8.\nHost 0 is interested in task 10.\nHost 12 is interested in task 0.\nHost 10 is interested in task 1.\nHost 5 is interested in task 11.\nHost 1 is interested in task 5.\nHost 7 is interested in task 4.\nHost 13 is interested in task 0.\nHost 7 is interested in task 7.\nHost 2 is interested in task 9.\nHost 13 is interested in task 11.\nHost 12 is interested in task 2.\nHost 1 is interested in task 3.\nHost 2 is interested in task 11.\nHost 12 is interested in task 7.\nHost 1 is interested in task 8.\nHost 0 is interested in task 8.\nHost 7 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph322", "image": "data/matching/graph_visual/hard/graph322.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 8.\nHost 5 is interested in task 9.\nHost 9 is interested in task 6.\nHost 8 is interested in task 10.\nHost 3 is interested in task 6.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 8 is interested in task 4.\nHost 0 is interested in task 4.\nHost 8 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 7.\nHost 9 is interested in task 1.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 6.\nHost 2 is interested in task 0.\nHost 10 is interested in task 9.\nHost 7 is interested in task 5.\nHost 7 is interested in task 3.\nHost 8 is interested in task 8.\nHost 7 is interested in task 9.\nHost 3 is interested in task 1.\nHost 4 is interested in task 10.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 9 is interested in task 5.\nHost 5 is interested in task 10.\nHost 5 is interested in task 5.\nHost 8 is interested in task 7.\nHost 7 is interested in task 7.\nHost 9 is interested in task 7.\nHost 5 is interested in task 6.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 10 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph808", "image": "data/matching/graph_visual/hard/graph808.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 10.\nHost 12 is interested in task 6.\nHost 0 is interested in task 12.\nHost 2 is interested in task 13.\nHost 9 is interested in task 14.\nHost 2 is interested in task 7.\nHost 9 is interested in task 3.\nHost 8 is interested in task 3.\nHost 0 is interested in task 11.\nHost 12 is interested in task 8.\nHost 3 is interested in task 4.\nHost 5 is interested in task 6.\nHost 12 is interested in task 14.\nHost 11 is interested in task 11.\nHost 9 is interested in task 6.\nHost 10 is interested in task 7.\nHost 10 is interested in task 12.\nHost 10 is interested in task 14.\nHost 5 is interested in task 5.\nHost 11 is interested in task 8.\nHost 9 is interested in task 4.\nHost 1 is interested in task 6.\nHost 3 is interested in task 9.\nHost 3 is interested in task 2.\nHost 10 is interested in task 5.\nHost 5 is interested in task 11.\nHost 0 is interested in task 2.\nHost 11 is interested in task 7.\nHost 5 is interested in task 4.\nHost 9 is interested in task 13.\nHost 2 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 6.\nHost 9 is interested in task 9.\nHost 8 is interested in task 14.\nHost 2 is interested in task 0.\nHost 9 is interested in task 5.\nHost 5 is interested in task 14.\nHost 4 is interested in task 7.\nHost 1 is interested in task 8.\nHost 5 is interested in task 1.\nHost 12 is interested in task 13.\nHost 5 is interested in task 10.\nHost 5 is interested in task 3.\nHost 12 is interested in task 7.\nHost 8 is interested in task 1.\nHost 11 is interested in task 9.\nHost 12 is interested in task 12.\nHost 4 is interested in task 11.\nHost 9 is interested in task 1.\nHost 4 is interested in task 14.\nHost 8 is interested in task 8.\nHost 11 is interested in task 12.\nHost 12 is interested in task 5.\nHost 8 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 10.\nHost 11 is interested in task 4.\nHost 10 is interested in task 10.\nHost 10 is interested in task 0.\nHost 6 is interested in task 8.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 5 is interested in task 0.\nHost 1 is interested in task 3.\nHost 12 is interested in task 1.\nHost 6 is interested in task 11.\nHost 6 is interested in task 5.\nHost 5 is interested in task 7.\nHost 9 is interested in task 11.\nHost 11 is interested in task 10.\nHost 0 is interested in task 9.\nHost 10 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph951", "image": "data/matching/graph_visual/hard/graph951.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 8 is interested in task 12.\nHost 2 is interested in task 6.\nHost 9 is interested in task 4.\nHost 7 is interested in task 6.\nHost 8 is interested in task 2.\nHost 7 is interested in task 13.\nHost 13 is interested in task 8.\nHost 6 is interested in task 11.\nHost 4 is interested in task 11.\nHost 3 is interested in task 11.\nHost 2 is interested in task 8.\nHost 0 is interested in task 12.\nHost 9 is interested in task 12.\nHost 1 is interested in task 5.\nHost 4 is interested in task 2.\nHost 1 is interested in task 12.\nHost 10 is interested in task 12.\nHost 0 is interested in task 10.\nHost 8 is interested in task 4.\nHost 6 is interested in task 5.\nHost 12 is interested in task 8.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 12 is interested in task 0.\nHost 6 is interested in task 12.\nHost 11 is interested in task 11.\nHost 6 is interested in task 7.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 10.\nHost 13 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 4.\nHost 1 is interested in task 11.\nHost 5 is interested in task 8.\nHost 11 is interested in task 6.\nHost 8 is interested in task 5.\nHost 12 is interested in task 11.\nHost 3 is interested in task 6.\nHost 5 is interested in task 2.\nHost 7 is interested in task 12.\nHost 5 is interested in task 4.\nHost 6 is interested in task 9.\nHost 11 is interested in task 2.\nHost 3 is interested in task 10.\nHost 12 is interested in task 10.\nHost 5 is interested in task 6.\nHost 12 is interested in task 13.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3.\nHost 6 is interested in task 10.\nHost 12 is interested in task 5.\nHost 8 is interested in task 7.\nHost 4 is interested in task 10.\nHost 9 is interested in task 2.\nHost 10 is interested in task 11.\nHost 4 is interested in task 4.\nHost 9 is interested in task 5.\nHost 2 is interested in task 13.\nHost 10 is interested in task 9.\nHost 13 is interested in task 3.\nHost 12 is interested in task 1.\nHost 5 is interested in task 13.\nHost 5 is interested in task 7.\nHost 6 is interested in task 13.\nHost 0 is interested in task 9.\nHost 8 is interested in task 0.\nHost 13 is interested in task 12.\nHost 8 is interested in task 8.\nHost 5 is interested in task 5.\nHost 7 is interested in task 5.\nHost 8 is interested in task 13.\nHost 7 is interested in task 11.\nHost 9 is interested in task 8.\nHost 1 is interested in task 13.\nHost 10 is interested in task 1.\nHost 6 is interested in task 8.\nHost 4 is interested in task 1.\nHost 12 is interested in task 4.\nHost 12 is interested in task 12.\nHost 10 is interested in task 7.\nHost 12 is interested in task 3.\nHost 9 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph997", "image": "data/matching/graph_visual/hard/graph997.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 12.\nHost 12 is interested in task 3.\nHost 7 is interested in task 12.\nHost 1 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 5.\nHost 12 is interested in task 0.\nHost 9 is interested in task 2.\nHost 4 is interested in task 15.\nHost 5 is interested in task 13.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 6 is interested in task 15.\nHost 7 is interested in task 11.\nHost 8 is interested in task 1.\nHost 1 is interested in task 6.\nHost 5 is interested in task 1.\nHost 11 is interested in task 2.\nHost 11 is interested in task 15.\nHost 12 is interested in task 6.\nHost 8 is interested in task 3.\nHost 11 is interested in task 12.\nHost 12 is interested in task 1.\nHost 7 is interested in task 8.\nHost 5 is interested in task 0.\nHost 11 is interested in task 5.\nHost 12 is interested in task 9.\nHost 4 is interested in task 12.\nHost 3 is interested in task 5.\nHost 1 is interested in task 12.\nHost 1 is interested in task 5.\nHost 9 is interested in task 1.\nHost 12 is interested in task 8.\nHost 1 is interested in task 14.\nHost 5 is interested in task 8.\nHost 11 is interested in task 14.\nHost 3 is interested in task 14.\nHost 10 is interested in task 1.\nHost 2 is interested in task 13.\nHost 10 is interested in task 14.\nHost 1 is interested in task 0.\nHost 8 is interested in task 2.\nHost 8 is interested in task 0.\nHost 6 is interested in task 10.\nHost 9 is interested in task 4.\nHost 5 is interested in task 5.\nHost 8 is interested in task 13.\nHost 8 is interested in task 15.\nHost 13 is interested in task 3.\nHost 5 is interested in task 9.\nHost 8 is interested in task 8.\nHost 9 is interested in task 8.\nHost 5 is interested in task 4.\nHost 8 is interested in task 11.\nHost 10 is interested in task 11.\nHost 11 is interested in task 13.\nHost 11 is interested in task 1.\nHost 4 is interested in task 0.\nHost 11 is interested in task 7.\nHost 12 is interested in task 12.\nHost 9 is interested in task 15.\nHost 12 is interested in task 15.\nHost 10 is interested in task 0.\nHost 0 is interested in task 15.\nHost 9 is interested in task 14.\nHost 11 is interested in task 0.\nHost 11 is interested in task 4.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 5 is interested in task 6.\nHost 10 is interested in task 12.\nHost 10 is interested in task 15.\nHost 7 is interested in task 4.\nHost 13 is interested in task 14.\nHost 2 is interested in task 4.\nHost 9 is interested in task 11.\nHost 6 is interested in task 1.\nHost 9 is interested in task 3.\nHost 9 is interested in task 10.\nHost 7 is interested in task 13.\nHost 8 is interested in task 7.\nHost 7 is interested in task 1.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph537", "image": "data/matching/graph_visual/hard/graph537.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 10.\nHost 11 is interested in task 0.\nHost 7 is interested in task 10.\nHost 9 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 6.\nHost 5 is interested in task 9.\nHost 8 is interested in task 5.\nHost 5 is interested in task 10.\nHost 8 is interested in task 4.\nHost 3 is interested in task 11.\nHost 8 is interested in task 0.\nHost 0 is interested in task 7.\nHost 5 is interested in task 6.\nHost 0 is interested in task 4.\nHost 10 is interested in task 5.\nHost 4 is interested in task 2.\nHost 7 is interested in task 9.\nHost 5 is interested in task 5.\nHost 11 is interested in task 9.\nHost 8 is interested in task 8.\nHost 8 is interested in task 6.\nHost 11 is interested in task 5.\nHost 9 is interested in task 9.\nHost 2 is interested in task 5.\nHost 9 is interested in task 3.\nHost 8 is interested in task 10.\nHost 11 is interested in task 10.\nHost 11 is interested in task 6.\nHost 5 is interested in task 11.\nHost 10 is interested in task 1.\nHost 10 is interested in task 6.\nHost 6 is interested in task 7.\nHost 4 is interested in task 4.\nHost 2 is interested in task 4.\nHost 3 is interested in task 10.\nHost 3 is interested in task 3.\nHost 5 is interested in task 8.\nHost 1 is interested in task 11.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 10 is interested in task 8.\nHost 9 is interested in task 5.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 10 is interested in task 2.\nHost 8 is interested in task 2.\nHost 0 is interested in task 1.\nHost 9 is interested in task 1.\nHost 2 is interested in task 11.\nHost 0 is interested in task 8.\nHost 0 is interested in task 9.\nHost 9 is interested in task 11.\nHost 10 is interested in task 7.\nHost 11 is interested in task 8.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 0 is interested in task 0.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph56", "image": "data/matching/graph_visual/hard/graph56.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 6.\nHost 4 is interested in task 4.\nHost 6 is interested in task 5.\nHost 7 is interested in task 2.\nHost 9 is interested in task 6.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 6 is interested in task 2.\nHost 3 is interested in task 1.\nHost 8 is interested in task 6.\nHost 6 is interested in task 3.\nHost 6 is interested in task 6.\nHost 9 is interested in task 1.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 3 is interested in task 5.\nHost 9 is interested in task 7.\nHost 3 is interested in task 4.\nHost 7 is interested in task 7.\nHost 9 is interested in task 0.\nHost 0 is interested in task 7.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 7.\nHost 3 is interested in task 0.\nHost 5 is interested in task 3.\nHost 3 is interested in task 2.\nHost 9 is interested in task 3.\nHost 5 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 4.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph862", "image": "data/matching/graph_visual/hard/graph862.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 0 is interested in task 9.\nHost 12 is interested in task 8.\nHost 12 is interested in task 6.\nHost 2 is interested in task 5.\nHost 8 is interested in task 2.\nHost 13 is interested in task 0.\nHost 8 is interested in task 8.\nHost 4 is interested in task 10.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 13 is interested in task 7.\nHost 10 is interested in task 6.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 4.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 2 is interested in task 8.\nHost 1 is interested in task 9.\nHost 7 is interested in task 7.\nHost 12 is interested in task 3.\nHost 10 is interested in task 9.\nHost 2 is interested in task 7.\nHost 3 is interested in task 2.\nHost 10 is interested in task 10.\nHost 9 is interested in task 0.\nHost 13 is interested in task 1.\nHost 8 is interested in task 3.\nHost 9 is interested in task 1.\nHost 12 is interested in task 10.\nHost 10 is interested in task 7.\nHost 13 is interested in task 5.\nHost 8 is interested in task 6.\nHost 1 is interested in task 5.\nHost 4 is interested in task 8.\nHost 13 is interested in task 9.\nHost 11 is interested in task 9.\nHost 9 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 7 is interested in task 0.\nHost 4 is interested in task 3.\nHost 7 is interested in task 6.\nHost 7 is interested in task 9.\nHost 7 is interested in task 2.\nHost 12 is interested in task 9.\nHost 7 is interested in task 5.\nHost 0 is interested in task 4.\nHost 8 is interested in task 1.\nHost 13 is interested in task 6.\nHost 4 is interested in task 9.\nHost 9 is interested in task 5.\nHost 13 is interested in task 3.\nHost 12 is interested in task 4.\nHost 9 is interested in task 2.\nHost 9 is interested in task 3.\nHost 6 is interested in task 9.\nHost 12 is interested in task 1.\nHost 8 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1096", "image": "data/matching/graph_visual/hard/graph1096.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 0.\nHost 2 is interested in task 11.\nHost 5 is interested in task 8.\nHost 10 is interested in task 11.\nHost 8 is interested in task 0.\nHost 4 is interested in task 7.\nHost 0 is interested in task 9.\nHost 8 is interested in task 11.\nHost 1 is interested in task 7.\nHost 0 is interested in task 12.\nHost 7 is interested in task 9.\nHost 11 is interested in task 0.\nHost 7 is interested in task 11.\nHost 10 is interested in task 12.\nHost 7 is interested in task 3.\nHost 7 is interested in task 7.\nHost 3 is interested in task 7.\nHost 12 is interested in task 5.\nHost 7 is interested in task 10.\nHost 1 is interested in task 10.\nHost 14 is interested in task 4.\nHost 11 is interested in task 9.\nHost 3 is interested in task 12.\nHost 2 is interested in task 9.\nHost 13 is interested in task 2.\nHost 9 is interested in task 6.\nHost 9 is interested in task 10.\nHost 14 is interested in task 6.\nHost 12 is interested in task 1.\nHost 5 is interested in task 9.\nHost 3 is interested in task 8.\nHost 3 is interested in task 9.\nHost 7 is interested in task 1.\nHost 13 is interested in task 5.\nHost 13 is interested in task 6.\nHost 0 is interested in task 10.\nHost 4 is interested in task 8.\nHost 7 is interested in task 8.\nHost 9 is interested in task 3.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 1 is interested in task 6.\nHost 11 is interested in task 8.\nHost 0 is interested in task 3.\nHost 8 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 11.\nHost 12 is interested in task 0.\nHost 7 is interested in task 5.\nHost 8 is interested in task 2.\nHost 0 is interested in task 7.\nHost 11 is interested in task 10.\nHost 2 is interested in task 12.\nHost 2 is interested in task 10.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 4.\nHost 1 is interested in task 1.\nHost 8 is interested in task 4.\nHost 0 is interested in task 1.\nHost 11 is interested in task 2.\nHost 3 is interested in task 3.\nHost 8 is interested in task 8.\nHost 11 is interested in task 11.\nHost 0 is interested in task 2.\nHost 14 is interested in task 7.\nHost 4 is interested in task 5.\nHost 1 is interested in task 0.\nHost 9 is interested in task 5.\nHost 7 is interested in task 2.\nHost 11 is interested in task 12.\nHost 12 is interested in task 2.\nHost 8 is interested in task 3.\nHost 13 is interested in task 7.\nHost 0 is interested in task 6.\nHost 9 is interested in task 0.\nHost 1 is interested in task 3.\nHost 14 is interested in task 12.\nHost 1 is interested in task 2.\nHost 4 is interested in task 12.\nHost 2 is interested in task 2.\nHost 10 is interested in task 2.\nHost 14 is interested in task 9.\nHost 1 is interested in task 12.\nHost 10 is interested in task 5.\nHost 14 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph50", "image": "data/matching/graph_visual/hard/graph50.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 9 is interested in task 1.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 7 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 3.\nHost 4 is interested in task 2.\nHost 4 is interested in task 4.\nHost 8 is interested in task 7.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 7 is interested in task 4.\nHost 8 is interested in task 5.\nHost 0 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 6.\nHost 4 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 2.\nHost 1 is interested in task 5.\nHost 3 is interested in task 5.\nHost 1 is interested in task 3.\nHost 4 is interested in task 5.\nHost 8 is interested in task 4.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 8 is interested in task 3.\nHost 0 is interested in task 3.\nHost 5 is interested in task 6.\nHost 8 is interested in task 2.\nHost 2 is interested in task 1.\nHost 6 is interested in task 0.\nHost 4 is interested in task 0.\nHost 9 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 6.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph530", "image": "data/matching/graph_visual/hard/graph530.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 7.\nHost 4 is interested in task 6.\nHost 1 is interested in task 1.\nHost 5 is interested in task 7.\nHost 3 is interested in task 0.\nHost 3 is interested in task 11.\nHost 4 is interested in task 1.\nHost 7 is interested in task 9.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 10.\nHost 9 is interested in task 2.\nHost 9 is interested in task 1.\nHost 10 is interested in task 2.\nHost 0 is interested in task 9.\nHost 3 is interested in task 9.\nHost 9 is interested in task 7.\nHost 1 is interested in task 8.\nHost 9 is interested in task 0.\nHost 9 is interested in task 6.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 11 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 7 is interested in task 0.\nHost 4 is interested in task 10.\nHost 0 is interested in task 3.\nHost 11 is interested in task 0.\nHost 4 is interested in task 2.\nHost 4 is interested in task 7.\nHost 7 is interested in task 3.\nHost 3 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 1.\nHost 7 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 2.\nHost 11 is interested in task 7.\nHost 10 is interested in task 10.\nHost 10 is interested in task 0.\nHost 9 is interested in task 4.\nHost 7 is interested in task 1.\nHost 2 is interested in task 0.\nHost 10 is interested in task 4.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph813", "image": "data/matching/graph_visual/hard/graph813.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 4.\nHost 7 is interested in task 15.\nHost 9 is interested in task 14.\nHost 11 is interested in task 8.\nHost 0 is interested in task 5.\nHost 4 is interested in task 15.\nHost 1 is interested in task 13.\nHost 12 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 8.\nHost 3 is interested in task 14.\nHost 2 is interested in task 9.\nHost 2 is interested in task 11.\nHost 7 is interested in task 9.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 10 is interested in task 0.\nHost 12 is interested in task 3.\nHost 4 is interested in task 10.\nHost 11 is interested in task 15.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 9 is interested in task 9.\nHost 1 is interested in task 1.\nHost 12 is interested in task 0.\nHost 3 is interested in task 11.\nHost 11 is interested in task 1.\nHost 12 is interested in task 10.\nHost 1 is interested in task 9.\nHost 2 is interested in task 6.\nHost 3 is interested in task 10.\nHost 0 is interested in task 11.\nHost 5 is interested in task 10.\nHost 1 is interested in task 14.\nHost 12 is interested in task 6.\nHost 4 is interested in task 13.\nHost 7 is interested in task 3.\nHost 7 is interested in task 14.\nHost 8 is interested in task 13.\nHost 10 is interested in task 15.\nHost 1 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 12.\nHost 12 is interested in task 9.\nHost 9 is interested in task 8.\nHost 6 is interested in task 7.\nHost 6 is interested in task 13.\nHost 10 is interested in task 4.\nHost 1 is interested in task 7.\nHost 8 is interested in task 3.\nHost 8 is interested in task 15.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 6 is interested in task 10.\nHost 3 is interested in task 9.\nHost 0 is interested in task 8.\nHost 1 is interested in task 12.\nHost 1 is interested in task 11.\nHost 5 is interested in task 8.\nHost 11 is interested in task 5.\nHost 7 is interested in task 6.\nHost 2 is interested in task 13.\nHost 0 is interested in task 12.\nHost 5 is interested in task 15.\nHost 3 is interested in task 1.\nHost 11 is interested in task 7.\nHost 8 is interested in task 8.\nHost 11 is interested in task 14.\nHost 9 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 0 is interested in task 2.\nHost 4 is interested in task 9.\nHost 5 is interested in task 14.\nHost 1 is interested in task 15.\nHost 3 is interested in task 8.\nHost 11 is interested in task 4.\nHost 2 is interested in task 12.\nHost 8 is interested in task 7.\nHost 12 is interested in task 11.\nHost 8 is interested in task 11.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1164", "image": "data/matching/graph_visual/hard/graph1164.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 9.\nHost 8 is interested in task 1.\nHost 9 is interested in task 13.\nHost 2 is interested in task 6.\nHost 3 is interested in task 12.\nHost 2 is interested in task 9.\nHost 0 is interested in task 10.\nHost 5 is interested in task 6.\nHost 8 is interested in task 2.\nHost 9 is interested in task 4.\nHost 2 is interested in task 13.\nHost 6 is interested in task 3.\nHost 7 is interested in task 10.\nHost 3 is interested in task 9.\nHost 3 is interested in task 14.\nHost 5 is interested in task 7.\nHost 2 is interested in task 2.\nHost 10 is interested in task 8.\nHost 8 is interested in task 13.\nHost 1 is interested in task 2.\nHost 8 is interested in task 6.\nHost 8 is interested in task 14.\nHost 11 is interested in task 4.\nHost 13 is interested in task 9.\nHost 14 is interested in task 2.\nHost 2 is interested in task 1.\nHost 12 is interested in task 11.\nHost 6 is interested in task 4.\nHost 7 is interested in task 5.\nHost 2 is interested in task 4.\nHost 3 is interested in task 6.\nHost 5 is interested in task 9.\nHost 5 is interested in task 2.\nHost 6 is interested in task 2.\nHost 2 is interested in task 10.\nHost 13 is interested in task 13.\nHost 3 is interested in task 5.\nHost 10 is interested in task 7.\nHost 1 is interested in task 11.\nHost 5 is interested in task 5.\nHost 4 is interested in task 11.\nHost 9 is interested in task 6.\nHost 1 is interested in task 10.\nHost 9 is interested in task 5.\nHost 6 is interested in task 14.\nHost 8 is interested in task 4.\nHost 9 is interested in task 14.\nHost 7 is interested in task 2.\nHost 5 is interested in task 14.\nHost 10 is interested in task 1.\nHost 5 is interested in task 12.\nHost 10 is interested in task 12.\nHost 10 is interested in task 9.\nHost 6 is interested in task 5.\nHost 0 is interested in task 13.\nHost 8 is interested in task 8.\nHost 7 is interested in task 13.\nHost 5 is interested in task 3.\nHost 1 is interested in task 13.\nHost 4 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 8.\nHost 7 is interested in task 12.\nHost 2 is interested in task 12.\nHost 10 is interested in task 11.\nHost 10 is interested in task 10.\nHost 3 is interested in task 10.\nHost 12 is interested in task 10.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 8 is interested in task 9.\nHost 0 is interested in task 1.\nHost 4 is interested in task 9.\nHost 0 is interested in task 8.\nHost 13 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 10.\nHost 13 is interested in task 12.\nHost 8 is interested in task 0.\nHost 7 is interested in task 0.\nHost 10 is interested in task 14.\nHost 3 is interested in task 1.\nHost 9 is interested in task 10.\nHost 5 is interested in task 1.\nHost 3 is interested in task 7.\nHost 6 is interested in task 11.\nHost 13 is interested in task 2.\nHost 13 is interested in task 10.\nHost 3 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph92", "image": "data/matching/graph_visual/hard/graph92.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 9 is interested in task 8.\nHost 8 is interested in task 9.\nHost 1 is interested in task 1.\nHost 2 is interested in task 8.\nHost 0 is interested in task 9.\nHost 7 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 8.\nHost 8 is interested in task 6.\nHost 2 is interested in task 6.\nHost 2 is interested in task 0.\nHost 3 is interested in task 8.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 4 is interested in task 5.\nHost 8 is interested in task 1.\nHost 6 is interested in task 0.\nHost 8 is interested in task 0.\nHost 1 is interested in task 9.\nHost 0 is interested in task 5.\nHost 0 is interested in task 2.\nHost 9 is interested in task 6.\nHost 0 is interested in task 4.\nHost 1 is interested in task 7.\nHost 2 is interested in task 9.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 8 is interested in task 5.\nHost 6 is interested in task 9.\nHost 6 is interested in task 4.\nHost 8 is interested in task 8.\nHost 6 is interested in task 1.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph107", "image": "data/matching/graph_visual/hard/graph107.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8.\nHost 0 is interested in task 3.\nHost 8 is interested in task 2.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 9 is interested in task 7.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 0.\nHost 3 is interested in task 9.\nHost 1 is interested in task 8.\nHost 6 is interested in task 5.\nHost 7 is interested in task 6.\nHost 9 is interested in task 8.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 5 is interested in task 0.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 7 is interested in task 9.\nHost 7 is interested in task 2.\nHost 6 is interested in task 7.\nHost 8 is interested in task 5.\nHost 3 is interested in task 7.\nHost 8 is interested in task 3.\nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 7 is interested in task 8.\nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 8 is interested in task 6.\nHost 2 is interested in task 1.\nHost 4 is interested in task 7.\nHost 7 is interested in task 3.\nHost 5 is interested in task 3.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 9 is interested in task 5.\nHost 2 is interested in task 3.\nHost 7 is interested in task 4.\nHost 4 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph915", "image": "data/matching/graph_visual/hard/graph915.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 10.\nHost 1 is interested in task 12.\nHost 6 is interested in task 3.\nHost 5 is interested in task 1.\nHost 7 is interested in task 5.\nHost 0 is interested in task 10.\nHost 6 is interested in task 6.\nHost 13 is interested in task 7.\nHost 6 is interested in task 4.\nHost 0 is interested in task 3.\nHost 1 is interested in task 6.\nHost 13 is interested in task 2.\nHost 1 is interested in task 0.\nHost 9 is interested in task 7.\nHost 0 is interested in task 0.\nHost 8 is interested in task 11.\nHost 0 is interested in task 7.\nHost 10 is interested in task 0.\nHost 6 is interested in task 9.\nHost 8 is interested in task 4.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 12 is interested in task 9.\nHost 1 is interested in task 1.\nHost 3 is interested in task 0.\nHost 9 is interested in task 6.\nHost 2 is interested in task 4.\nHost 9 is interested in task 5.\nHost 6 is interested in task 5.\nHost 10 is interested in task 3.\nHost 8 is interested in task 8.\nHost 8 is interested in task 1.\nHost 5 is interested in task 12.\nHost 12 is interested in task 2.\nHost 5 is interested in task 11.\nHost 5 is interested in task 0.\nHost 0 is interested in task 2.\nHost 13 is interested in task 12.\nHost 7 is interested in task 10.\nHost 11 is interested in task 9.\nHost 0 is interested in task 4.\nHost 3 is interested in task 7.\nHost 4 is interested in task 9.\nHost 6 is interested in task 1.\nHost 4 is interested in task 5.\nHost 10 is interested in task 12.\nHost 13 is interested in task 1.\nHost 4 is interested in task 0.\nHost 3 is interested in task 12.\nHost 6 is interested in task 7.\nHost 10 is interested in task 5.\nHost 5 is interested in task 5.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 4 is interested in task 7.\nHost 3 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 9.\nHost 1 is interested in task 9.\nHost 11 is interested in task 3.\nHost 11 is interested in task 7.\nHost 6 is interested in task 8.\nHost 9 is interested in task 12.\nHost 7 is interested in task 0.\nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 13 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph941", "image": "data/matching/graph_visual/hard/graph941.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 7 is interested in task 4.\nHost 10 is interested in task 6.\nHost 11 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 13.\nHost 5 is interested in task 10.\nHost 5 is interested in task 9.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 12.\nHost 2 is interested in task 2.\nHost 0 is interested in task 9.\nHost 5 is interested in task 1.\nHost 6 is interested in task 8.\nHost 7 is interested in task 12.\nHost 13 is interested in task 1.\nHost 2 is interested in task 10.\nHost 10 is interested in task 4.\nHost 13 is interested in task 12.\nHost 6 is interested in task 12.\nHost 5 is interested in task 12.\nHost 9 is interested in task 4.\nHost 8 is interested in task 3.\nHost 12 is interested in task 13.\nHost 3 is interested in task 5.\nHost 1 is interested in task 5.\nHost 12 is interested in task 7.\nHost 5 is interested in task 5.\nHost 12 is interested in task 3.\nHost 9 is interested in task 8.\nHost 4 is interested in task 7.\nHost 7 is interested in task 8.\nHost 5 is interested in task 7.\nHost 2 is interested in task 1.\nHost 11 is interested in task 5.\nHost 4 is interested in task 5.\nHost 12 is interested in task 6.\nHost 9 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 0 is interested in task 10.\nHost 5 is interested in task 8.\nHost 9 is interested in task 10.\nHost 3 is interested in task 8.\nHost 4 is interested in task 2.\nHost 5 is interested in task 11.\nHost 9 is interested in task 9.\nHost 7 is interested in task 10.\nHost 3 is interested in task 7.\nHost 6 is interested in task 13.\nHost 11 is interested in task 12.\nHost 12 is interested in task 8.\nHost 3 is interested in task 4.\nHost 11 is interested in task 7.\nHost 3 is interested in task 10.\nHost 2 is interested in task 4.\nHost 12 is interested in task 10.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 8 is interested in task 1.\nHost 3 is interested in task 13.\nHost 0 is interested in task 7.\nHost 3 is interested in task 1.\nHost 8 is interested in task 4.\nHost 3 is interested in task 12.\nHost 9 is interested in task 0.\nHost 11 is interested in task 6.\nHost 1 is interested in task 8.\nHost 0 is interested in task 0.\nHost 7 is interested in task 2.\nHost 12 is interested in task 12.\nHost 11 is interested in task 2.\nHost 12 is interested in task 4.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph302", "image": "data/matching/graph_visual/hard/graph302.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 2 is interested in task 0.\nHost 5 is interested in task 5.\nHost 5 is interested in task 10.\nHost 5 is interested in task 9.\nHost 0 is interested in task 1.\nHost 0 is interested in task 8.\nHost 10 is interested in task 5.\nHost 7 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 2.\nHost 6 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 0 is interested in task 3.\nHost 10 is interested in task 3.\nHost 5 is interested in task 8.\nHost 7 is interested in task 2.\nHost 8 is interested in task 10.\nHost 9 is interested in task 7.\nHost 9 is interested in task 3.\nHost 10 is interested in task 0.\nHost 0 is interested in task 10.\nHost 5 is interested in task 2.\nHost 7 is interested in task 8.\nHost 8 is interested in task 6.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 4 is interested in task 6.\nHost 3 is interested in task 2.\nHost 6 is interested in task 0.\nHost 10 is interested in task 9.\nHost 5 is interested in task 7.\nHost 8 is interested in task 9.\nHost 4 is interested in task 2.\nHost 9 is interested in task 4.\nHost 6 is interested in task 9.\nHost 7 is interested in task 0.\nHost 10 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 7.\nHost 5 is interested in task 6.\nHost 2 is interested in task 8.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 10 is interested in task 7.\nHost 7 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph910", "image": "data/matching/graph_visual/hard/graph910.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 8 is interested in task 8.\nHost 12 is interested in task 10.\nHost 9 is interested in task 5.\nHost 0 is interested in task 9.\nHost 9 is interested in task 9.\nHost 12 is interested in task 11.\nHost 3 is interested in task 11.\nHost 12 is interested in task 9.\nHost 4 is interested in task 7.\nHost 10 is interested in task 4.\nHost 4 is interested in task 3.\nHost 1 is interested in task 4.\nHost 11 is interested in task 9.\nHost 5 is interested in task 2.\nHost 8 is interested in task 4.\nHost 0 is interested in task 12.\nHost 10 is interested in task 6.\nHost 2 is interested in task 8.\nHost 5 is interested in task 8.\nHost 2 is interested in task 6.\nHost 0 is interested in task 4.\nHost 12 is interested in task 8.\nHost 13 is interested in task 7.\nHost 6 is interested in task 2.\nHost 2 is interested in task 3.\nHost 6 is interested in task 4.\nHost 12 is interested in task 6.\nHost 3 is interested in task 6.\nHost 2 is interested in task 4.\nHost 11 is interested in task 12.\nHost 4 is interested in task 10.\nHost 13 is interested in task 2.\nHost 13 is interested in task 9.\nHost 7 is interested in task 1.\nHost 2 is interested in task 12.\nHost 1 is interested in task 1.\nHost 10 is interested in task 2.\nHost 11 is interested in task 3.\nHost 7 is interested in task 10.\nHost 6 is interested in task 0.\nHost 0 is interested in task 2.\nHost 5 is interested in task 6.\nHost 9 is interested in task 4.\nHost 7 is interested in task 3.\nHost 10 is interested in task 5.\nHost 12 is interested in task 5.\nHost 9 is interested in task 1.\nHost 5 is interested in task 10.\nHost 12 is interested in task 1.\nHost 11 is interested in task 1.\nHost 4 is interested in task 5.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 7 is interested in task 11.\nHost 4 is interested in task 1.\nHost 4 is interested in task 12.\nHost 1 is interested in task 10.\nHost 7 is interested in task 0.\nHost 0 is interested in task 1.\nHost 2 is interested in task 9.\nHost 11 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 12.\nHost 13 is interested in task 4.\nHost 11 is interested in task 8.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 8 is interested in task 9.\nHost 4 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 9.\nHost 4 is interested in task 0.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1129", "image": "data/matching/graph_visual/hard/graph1129.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 13.\nHost 0 is interested in task 7.\nHost 10 is interested in task 3.\nHost 14 is interested in task 10.\nHost 7 is interested in task 13.\nHost 5 is interested in task 4.\nHost 2 is interested in task 11.\nHost 9 is interested in task 11.\nHost 10 is interested in task 12.\nHost 0 is interested in task 12.\nHost 3 is interested in task 8.\nHost 13 is interested in task 9.\nHost 10 is interested in task 6.\nHost 3 is interested in task 13.\nHost 12 is interested in task 11.\nHost 7 is interested in task 1.\nHost 12 is interested in task 7.\nHost 1 is interested in task 11.\nHost 8 is interested in task 13.\nHost 2 is interested in task 7.\nHost 11 is interested in task 2.\nHost 9 is interested in task 2.\nHost 0 is interested in task 11.\nHost 13 is interested in task 7.\nHost 14 is interested in task 1.\nHost 11 is interested in task 1.\nHost 13 is interested in task 12.\nHost 2 is interested in task 3.\nHost 12 is interested in task 12.\nHost 7 is interested in task 10.\nHost 12 is interested in task 0.\nHost 8 is interested in task 5.\nHost 4 is interested in task 11.\nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 6.\nHost 5 is interested in task 3.\nHost 8 is interested in task 9.\nHost 10 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 3.\nHost 13 is interested in task 13.\nHost 10 is interested in task 4.\nHost 10 is interested in task 1.\nHost 4 is interested in task 2.\nHost 6 is interested in task 12.\nHost 13 is interested in task 6.\nHost 5 is interested in task 5.\nHost 13 is interested in task 3.\nHost 7 is interested in task 6.\nHost 8 is interested in task 11.\nHost 12 is interested in task 2.\nHost 2 is interested in task 13.\nHost 7 is interested in task 7.\nHost 9 is interested in task 13.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 2 is interested in task 6.\nHost 7 is interested in task 5.\nHost 7 is interested in task 2.\nHost 11 is interested in task 6.\nHost 8 is interested in task 12.\nHost 11 is interested in task 0.\nHost 8 is interested in task 8.\nHost 11 is interested in task 3.\nHost 5 is interested in task 9.\nHost 8 is interested in task 4.\nHost 11 is interested in task 7.\nHost 5 is interested in task 0.\nHost 1 is interested in task 12.\nHost 12 is interested in task 8.\nHost 6 is interested in task 1.\nHost 3 is interested in task 2.\nHost 14 is interested in task 7.\nHost 4 is interested in task 10.\nHost 6 is interested in task 9.\nHost 4 is interested in task 5.\nHost 7 is interested in task 0.\nHost 6 is interested in task 11.\nHost 5 is interested in task 10.\nHost 11 is interested in task 4.\nHost 3 is interested in task 1.\nHost 13 is interested in task 1.\nHost 12 is interested in task 13.\nHost 5 is interested in task 1.\nHost 1 is interested in task 10.\nHost 13 is interested in task 4.\nHost 8 is interested in task 3.\nHost 8 is interested in task 0.\nHost 5 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph73", "image": "data/matching/graph_visual/hard/graph73.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 4 is interested in task 6.\nHost 9 is interested in task 4.\nHost 2 is interested in task 7.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 9 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 6.\nHost 0 is interested in task 0.\nHost 4 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 8.\nHost 2 is interested in task 0.\nHost 6 is interested in task 6.\nHost 5 is interested in task 8.\nHost 3 is interested in task 1.\nHost 8 is interested in task 8.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 7.\nHost 3 is interested in task 2.\nHost 8 is interested in task 1.\nHost 9 is interested in task 6.\nHost 7 is interested in task 7.\nHost 2 is interested in task 4.\nHost 5 is interested in task 0.\nHost 4 is interested in task 5.\nHost 6 is interested in task 7.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 9 is interested in task 8.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 9 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 7.\nHost 6 is interested in task 1.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 4 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 1.\nHost 4 is interested in task 7.\nHost 4 is interested in task 8.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1205", "image": "data/matching/graph_visual/hard/graph1205.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 6 is interested in task 10.\nHost 12 is interested in task 10.\nHost 12 is interested in task 8.\nHost 1 is interested in task 14.\nHost 5 is interested in task 16.\nHost 11 is interested in task 15.\nHost 3 is interested in task 5.\nHost 1 is interested in task 5.\nHost 12 is interested in task 7.\nHost 4 is interested in task 5.\nHost 1 is interested in task 15.\nHost 9 is interested in task 3.\nHost 4 is interested in task 6.\nHost 0 is interested in task 12.\nHost 7 is interested in task 2.\nHost 0 is interested in task 8.\nHost 1 is interested in task 16.\nHost 5 is interested in task 11.\nHost 3 is interested in task 16.\nHost 0 is interested in task 13.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 9.\nHost 3 is interested in task 10.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 14 is interested in task 10.\nHost 14 is interested in task 13.\nHost 4 is interested in task 10.\nHost 5 is interested in task 3.\nHost 14 is interested in task 15.\nHost 4 is interested in task 3.\nHost 11 is interested in task 9.\nHost 14 is interested in task 7.\nHost 6 is interested in task 5.\nHost 4 is interested in task 13.\nHost 9 is interested in task 1.\nHost 5 is interested in task 4.\nHost 12 is interested in task 12.\nHost 7 is interested in task 9.\nHost 9 is interested in task 5.\nHost 4 is interested in task 1.\nHost 12 is interested in task 0.\nHost 14 is interested in task 1.\nHost 10 is interested in task 10.\nHost 5 is interested in task 10.\nHost 1 is interested in task 7.\nHost 1 is interested in task 0.\nHost 11 is interested in task 16.\nHost 11 is interested in task 3.\nHost 14 is interested in task 3.\nHost 5 is interested in task 15.\nHost 2 is interested in task 3.\nHost 1 is interested in task 8.\nHost 1 is interested in task 13.\nHost 13 is interested in task 14.\nHost 9 is interested in task 11.\nHost 12 is interested in task 5.\nHost 0 is interested in task 0.\nHost 10 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 9.\nHost 4 is interested in task 14.\nHost 13 is interested in task 1.\nHost 5 is interested in task 5.\nHost 7 is interested in task 13.\nHost 1 is interested in task 2.\nHost 3 is interested in task 4.\nHost 12 is interested in task 11.\nHost 0 is interested in task 3.\nHost 0 is interested in task 7.\nHost 4 is interested in task 16.\nHost 3 is interested in task 8.\nHost 11 is interested in task 11.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 6 is interested in task 1.\nHost 11 is interested in task 4.\nHost 5 is interested in task 13.\nHost 4 is interested in task 9.\nHost 8 is interested in task 9.\nHost 11 is interested in task 10.\nHost 12 is interested in task 15.\nHost 14 is interested in task 14.\nHost 11 is interested in task 5.\nHost 0 is interested in task 16.\nHost 14 is interested in task 2.\nHost 1 is interested in task 1.\nHost 10 is interested in task 4.\nHost 4 is interested in task 8.\nHost 11 is interested in task 8.\nHost 14 is interested in task 16.\nHost 1 is interested in task 6.\nHost 14 is interested in task 8.\nHost 2 is interested in task 10.\nHost 13 is interested in task 6.\nHost 13 is interested in task 3.\nHost 4 is interested in task 7.\nHost 7 is interested in task 7.\nHost 12 is interested in task 16.\nHost 10 is interested in task 15.\nHost 13 is interested in task 10.\nHost 11 is interested in task 7.\nHost 2 is interested in task 14.\nHost 12 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph205", "image": "data/matching/graph_visual/hard/graph205.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 12.\nHost 9 is interested in task 6.\nHost 6 is interested in task 8.\nHost 4 is interested in task 2.\nHost 8 is interested in task 10.\nHost 2 is interested in task 9.\nHost 2 is interested in task 7.\nHost 1 is interested in task 12.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 6 is interested in task 7.\nHost 9 is interested in task 0.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2.\nHost 6 is interested in task 2.\nHost 2 is interested in task 11.\nHost 3 is interested in task 0.\nHost 8 is interested in task 7.\nHost 8 is interested in task 5.\nHost 7 is interested in task 5.\nHost 1 is interested in task 9.\nHost 3 is interested in task 12.\nHost 3 is interested in task 4.\nHost 8 is interested in task 4.\nHost 8 is interested in task 12.\nHost 2 is interested in task 4.\nHost 4 is interested in task 8.\nHost 9 is interested in task 1.\nHost 8 is interested in task 8.\nHost 1 is interested in task 8.\nHost 8 is interested in task 6.\nHost 9 is interested in task 9.\nHost 6 is interested in task 11.\nHost 3 is interested in task 9.\nHost 9 is interested in task 4.\nHost 8 is interested in task 9.\nHost 6 is interested in task 9.\nHost 4 is interested in task 3.\nHost 9 is interested in task 12.\nHost 1 is interested in task 11.\nHost 6 is interested in task 10.\nHost 2 is interested in task 8.\nHost 0 is interested in task 0.\nHost 4 is interested in task 7.\nHost 1 is interested in task 3.\nHost 1 is interested in task 6.\nHost 7 is interested in task 7.\nHost 1 is interested in task 5.\nHost 8 is interested in task 11.\nHost 2 is interested in task 1.\nHost 9 is interested in task 10.\nHost 0 is interested in task 1.\nHost 5 is interested in task 6.\nHost 7 is interested in task 8.\nHost 7 is interested in task 10.\nHost 4 is interested in task 12.\nHost 7 is interested in task 4.\nHost 8 is interested in task 1.\nHost 6 is interested in task 6.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph392", "image": "data/matching/graph_visual/hard/graph392.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 7 is interested in task 12.\nHost 3 is interested in task 8.\nHost 2 is interested in task 9.\nHost 3 is interested in task 7.\nHost 10 is interested in task 11.\nHost 3 is interested in task 6.\nHost 0 is interested in task 8.\nHost 10 is interested in task 5.\nHost 10 is interested in task 0.\nHost 9 is interested in task 1.\nHost 9 is interested in task 0.\nHost 2 is interested in task 3.\nHost 8 is interested in task 4.\nHost 0 is interested in task 2.\nHost 7 is interested in task 11.\nHost 0 is interested in task 9.\nHost 6 is interested in task 10.\nHost 10 is interested in task 10.\nHost 9 is interested in task 5.\nHost 9 is interested in task 6.\nHost 1 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 12.\nHost 2 is interested in task 1.\nHost 3 is interested in task 9.\nHost 8 is interested in task 3.\nHost 3 is interested in task 1.\nHost 3 is interested in task 13.\nHost 10 is interested in task 9.\nHost 3 is interested in task 0.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 8 is interested in task 10.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 3 is interested in task 12.\nHost 2 is interested in task 6.\nHost 0 is interested in task 13.\nHost 1 is interested in task 4.\nHost 2 is interested in task 7.\nHost 4 is interested in task 3.\nHost 1 is interested in task 10.\nHost 3 is interested in task 3.\nHost 8 is interested in task 5.\nHost 5 is interested in task 12.\nHost 4 is interested in task 4.\nHost 7 is interested in task 5.\nHost 0 is interested in task 12.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 9 is interested in task 8.\nHost 8 is interested in task 7.\nHost 7 is interested in task 6.\nHost 8 is interested in task 2.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph21", "image": "data/matching/graph_visual/hard/graph21.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 8 is interested in task 2.\nHost 9 is interested in task 0.\nHost 8 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 6.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 2.\nHost 6 is interested in task 1.\nHost 1 is interested in task 5.\nHost 4 is interested in task 6.\nHost 7 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 2.\nHost 8 is interested in task 0.\nHost 9 is interested in task 5.\nHost 7 is interested in task 4.\nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 5 is interested in task 4.\nHost 9 is interested in task 3.\nHost 6 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph323", "image": "data/matching/graph_visual/hard/graph323.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 10 is interested in task 5.\nHost 6 is interested in task 2.\nHost 8 is interested in task 5.\nHost 1 is interested in task 0.\nHost 6 is interested in task 8.\nHost 7 is interested in task 8.\nHost 5 is interested in task 10.\nHost 2 is interested in task 10.\nHost 0 is interested in task 8.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 7.\nHost 0 is interested in task 2.\nHost 6 is interested in task 9.\nHost 4 is interested in task 10.\nHost 4 is interested in task 9.\nHost 5 is interested in task 0.\nHost 6 is interested in task 3.\nHost 10 is interested in task 8.\nHost 9 is interested in task 7.\nHost 6 is interested in task 10.\nHost 7 is interested in task 6.\nHost 3 is interested in task 5.\nHost 10 is interested in task 1.\nHost 0 is interested in task 10.\nHost 7 is interested in task 1.\nHost 1 is interested in task 8.\nHost 6 is interested in task 6.\nHost 5 is interested in task 3.\nHost 0 is interested in task 9.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 8 is interested in task 9.\nHost 2 is interested in task 6.\nHost 10 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 4.\nHost 1 is interested in task 7.\nHost 8 is interested in task 7.\nHost 0 is interested in task 7.\nHost 7 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph956", "image": "data/matching/graph_visual/hard/graph956.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 11.\nHost 6 is interested in task 12.\nHost 5 is interested in task 1.\nHost 13 is interested in task 1.\nHost 6 is interested in task 11.\nHost 13 is interested in task 6.\nHost 9 is interested in task 5.\nHost 4 is interested in task 11.\nHost 11 is interested in task 4.\nHost 3 is interested in task 7.\nHost 7 is interested in task 13.\nHost 12 is interested in task 7.\nHost 12 is interested in task 3.\nHost 8 is interested in task 6.\nHost 4 is interested in task 12.\nHost 6 is interested in task 0.\nHost 6 is interested in task 13.\nHost 12 is interested in task 6.\nHost 9 is interested in task 2.\nHost 3 is interested in task 10.\nHost 12 is interested in task 2.\nHost 12 is interested in task 9.\nHost 12 is interested in task 4.\nHost 7 is interested in task 4.\nHost 9 is interested in task 1.\nHost 13 is interested in task 3.\nHost 11 is interested in task 8.\nHost 4 is interested in task 9.\nHost 5 is interested in task 7.\nHost 5 is interested in task 4.\nHost 12 is interested in task 13.\nHost 2 is interested in task 10.\nHost 0 is interested in task 12.\nHost 9 is interested in task 11.\nHost 8 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 6.\nHost 8 is interested in task 3.\nHost 2 is interested in task 6.\nHost 4 is interested in task 2.\nHost 3 is interested in task 11.\nHost 7 is interested in task 9.\nHost 10 is interested in task 7.\nHost 12 is interested in task 11.\nHost 10 is interested in task 10.\nHost 11 is interested in task 3.\nHost 3 is interested in task 9.\nHost 12 is interested in task 12.\nHost 10 is interested in task 9.\nHost 8 is interested in task 13.\nHost 12 is interested in task 10.\nHost 8 is interested in task 11.\nHost 13 is interested in task 4.\nHost 12 is interested in task 8.\nHost 0 is interested in task 3.\nHost 4 is interested in task 10.\nHost 12 is interested in task 5.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 8 is interested in task 0.\nHost 12 is interested in task 0.\nHost 4 is interested in task 13.\nHost 0 is interested in task 5.\nHost 0 is interested in task 7.\nHost 11 is interested in task 12.\nHost 8 is interested in task 9.\nHost 8 is interested in task 10.\nHost 2 is interested in task 1.\nHost 10 is interested in task 5.\nHost 9 is interested in task 7.\nHost 4 is interested in task 1.\nHost 10 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph904", "image": "data/matching/graph_visual/hard/graph904.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 11 is interested in task 11.\nHost 12 is interested in task 2.\nHost 4 is interested in task 10.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 10 is interested in task 3.\nHost 4 is interested in task 12.\nHost 4 is interested in task 7.\nHost 6 is interested in task 4.\nHost 12 is interested in task 11.\nHost 1 is interested in task 8.\nHost 7 is interested in task 3.\nHost 10 is interested in task 9.\nHost 4 is interested in task 9.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 9.\nHost 8 is interested in task 0.\nHost 2 is interested in task 11.\nHost 13 is interested in task 8.\nHost 13 is interested in task 6.\nHost 7 is interested in task 1.\nHost 3 is interested in task 10.\nHost 10 is interested in task 1.\nHost 11 is interested in task 8.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 12.\nHost 11 is interested in task 10.\nHost 12 is interested in task 12.\nHost 10 is interested in task 6.\nHost 12 is interested in task 5.\nHost 5 is interested in task 3.\nHost 9 is interested in task 3.\nHost 3 is interested in task 8.\nHost 7 is interested in task 12.\nHost 5 is interested in task 5.\nHost 12 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 6 is interested in task 11.\nHost 7 is interested in task 9.\nHost 8 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 12 is interested in task 0.\nHost 9 is interested in task 0.\nHost 11 is interested in task 7.\nHost 13 is interested in task 11.\nHost 12 is interested in task 6.\nHost 4 is interested in task 6.\nHost 10 is interested in task 12.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph723", "image": "data/matching/graph_visual/hard/graph723.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 4.\nHost 7 is interested in task 11.\nHost 4 is interested in task 3.\nHost 12 is interested in task 7.\nHost 12 is interested in task 4.\nHost 8 is interested in task 4.\nHost 9 is interested in task 2.\nHost 3 is interested in task 0.\nHost 9 is interested in task 7.\nHost 5 is interested in task 3.\nHost 12 is interested in task 12.\nHost 2 is interested in task 1.\nHost 4 is interested in task 1.\nHost 7 is interested in task 5.\nHost 11 is interested in task 9.\nHost 9 is interested in task 11.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 4 is interested in task 2.\nHost 10 is interested in task 1.\nHost 11 is interested in task 3.\nHost 8 is interested in task 11.\nHost 8 is interested in task 6.\nHost 11 is interested in task 2.\nHost 8 is interested in task 1.\nHost 2 is interested in task 7.\nHost 6 is interested in task 8.\nHost 0 is interested in task 3.\nHost 11 is interested in task 0.\nHost 4 is interested in task 9.\nHost 5 is interested in task 1.\nHost 1 is interested in task 10.\nHost 12 is interested in task 3.\nHost 11 is interested in task 8.\nHost 10 is interested in task 2.\nHost 9 is interested in task 4.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 8 is interested in task 2.\nHost 4 is interested in task 8.\nHost 8 is interested in task 7.\nHost 3 is interested in task 7.\nHost 12 is interested in task 10.\nHost 11 is interested in task 1.\nHost 0 is interested in task 5.\nHost 10 is interested in task 5.\nHost 6 is interested in task 0.\nHost 10 is interested in task 11.\nHost 4 is interested in task 5.\nHost 12 is interested in task 8.\nHost 0 is interested in task 9.\nHost 6 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 10.\nHost 4 is interested in task 10.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 7 is interested in task 3.\nHost 5 is interested in task 7.\nHost 10 is interested in task 0.\nHost 6 is interested in task 5.\nHost 12 is interested in task 2.\nHost 0 is interested in task 11.\nHost 5 is interested in task 8.\nHost 6 is interested in task 6.\nHost 3 is interested in task 2.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph546", "image": "data/matching/graph_visual/hard/graph546.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 12.\nHost 5 is interested in task 12.\nHost 6 is interested in task 0.\nHost 11 is interested in task 9.\nHost 8 is interested in task 11.\nHost 10 is interested in task 10.\nHost 0 is interested in task 10.\nHost 0 is interested in task 11.\nHost 7 is interested in task 10.\nHost 5 is interested in task 4.\nHost 11 is interested in task 2.\nHost 3 is interested in task 12.\nHost 1 is interested in task 3.\nHost 2 is interested in task 9.\nHost 9 is interested in task 5.\nHost 0 is interested in task 7.\nHost 7 is interested in task 6.\nHost 5 is interested in task 1.\nHost 11 is interested in task 0.\nHost 4 is interested in task 0.\nHost 8 is interested in task 0.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 6.\nHost 10 is interested in task 3.\nHost 11 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 7.\nHost 1 is interested in task 10.\nHost 4 is interested in task 7.\nHost 1 is interested in task 4.\nHost 6 is interested in task 5.\nHost 7 is interested in task 0.\nHost 9 is interested in task 9.\nHost 4 is interested in task 11.\nHost 5 is interested in task 8.\nHost 0 is interested in task 4.\nHost 11 is interested in task 4.\nHost 9 is interested in task 12.\nHost 7 is interested in task 2.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph258", "image": "data/matching/graph_visual/hard/graph258.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 2 is interested in task 7.\nHost 1 is interested in task 7.\nHost 4 is interested in task 1.\nHost 6 is interested in task 2.\nHost 1 is interested in task 5.\nHost 9 is interested in task 7.\nHost 4 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 6.\nHost 2 is interested in task 6.\nHost 1 is interested in task 4.\nHost 8 is interested in task 2.\nHost 10 is interested in task 0.\nHost 7 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 8 is interested in task 4.\nHost 2 is interested in task 3.\nHost 3 is interested in task 4.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 1.\nHost 10 is interested in task 8.\nHost 5 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 8.\nHost 4 is interested in task 7.\nHost 6 is interested in task 7.\nHost 6 is interested in task 6.\nHost 1 is interested in task 8.\nHost 3 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 6.\nHost 6 is interested in task 0.\nHost 4 is interested in task 8.\nHost 0 is interested in task 1.\nHost 5 is interested in task 7.\nHost 8 is interested in task 8.\nHost 5 is interested in task 1.\nHost 0 is interested in task 5.\nHost 7 is interested in task 8.\nHost 10 is interested in task 7.\nHost 7 is interested in task 3.\nHost 9 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph460", "image": "data/matching/graph_visual/hard/graph460.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 10 is interested in task 7.\nHost 1 is interested in task 3.\nHost 5 is interested in task 6.\nHost 11 is interested in task 3.\nHost 5 is interested in task 0.\nHost 11 is interested in task 2.\nHost 6 is interested in task 2.\nHost 8 is interested in task 3.\nHost 10 is interested in task 6.\nHost 5 is interested in task 8.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 5.\nHost 7 is interested in task 9.\nHost 6 is interested in task 5.\nHost 4 is interested in task 9.\nHost 6 is interested in task 7.\nHost 5 is interested in task 7.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 9 is interested in task 8.\nHost 3 is interested in task 0.\nHost 10 is interested in task 0.\nHost 11 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 9.\nHost 4 is interested in task 4.\nHost 7 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 9.\nHost 6 is interested in task 3.\nHost 0 is interested in task 9.\nHost 10 is interested in task 1.\nHost 5 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 7.\nHost 0 is interested in task 0.\nHost 0 is interested in task 6.\nHost 5 is interested in task 2.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1051", "image": "data/matching/graph_visual/hard/graph1051.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 10.\nHost 5 is interested in task 10.\nHost 0 is interested in task 7.\nHost 14 is interested in task 1.\nHost 1 is interested in task 2.\nHost 12 is interested in task 8.\nHost 1 is interested in task 7.\nHost 10 is interested in task 2.\nHost 12 is interested in task 10.\nHost 4 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 10 is interested in task 8.\nHost 13 is interested in task 8.\nHost 14 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 11.\nHost 5 is interested in task 11.\nHost 10 is interested in task 4.\nHost 13 is interested in task 5.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 12 is interested in task 7.\nHost 5 is interested in task 8.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 2 is interested in task 3.\nHost 10 is interested in task 7.\nHost 1 is interested in task 4.\nHost 3 is interested in task 0.\nHost 12 is interested in task 11.\nHost 5 is interested in task 2.\nHost 12 is interested in task 0.\nHost 13 is interested in task 0.\nHost 4 is interested in task 5.\nHost 6 is interested in task 8.\nHost 7 is interested in task 6.\nHost 12 is interested in task 4.\nHost 10 is interested in task 3.\nHost 11 is interested in task 10.\nHost 1 is interested in task 6.\nHost 4 is interested in task 10.\nHost 12 is interested in task 1.\nHost 7 is interested in task 8.\nHost 2 is interested in task 11.\nHost 7 is interested in task 2.\nHost 2 is interested in task 10.\nHost 8 is interested in task 1.\nHost 5 is interested in task 9.\nHost 13 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 8.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 0 is interested in task 0.\nHost 10 is interested in task 0.\nHost 4 is interested in task 9.\nHost 4 is interested in task 11.\nHost 1 is interested in task 3.\nHost 12 is interested in task 5.\nHost 1 is interested in task 1.\nHost 11 is interested in task 3.\nHost 5 is interested in task 4.\nHost 12 is interested in task 2.\nHost 6 is interested in task 7.\nHost 7 is interested in task 7.\nHost 1 is interested in task 11.\nHost 5 is interested in task 3.\nHost 13 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph423", "image": "data/matching/graph_visual/hard/graph423.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 8 is interested in task 7.\nHost 10 is interested in task 7.\nHost 10 is interested in task 5.\nHost 0 is interested in task 3.\nHost 2 is interested in task 6.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 0.\nHost 7 is interested in task 6.\nHost 2 is interested in task 8.\nHost 2 is interested in task 7.\nHost 2 is interested in task 4.\nHost 8 is interested in task 1.\nHost 2 is interested in task 0.\nHost 10 is interested in task 6.\nHost 1 is interested in task 0.\nHost 1 is interested in task 8.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 5 is interested in task 7.\nHost 9 is interested in task 5.\nHost 11 is interested in task 1.\nHost 8 is interested in task 6.\nHost 6 is interested in task 2.\nHost 6 is interested in task 4.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 10 is interested in task 3.\nHost 5 is interested in task 1.\nHost 9 is interested in task 6.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5.\nHost 6 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 3.\nHost 7 is interested in task 3.\nHost 8 is interested in task 5.\nHost 11 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 8.\nHost 11 is interested in task 7.\nHost 5 is interested in task 3.\nHost 11 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 6 is interested in task 6.\nHost 3 is interested in task 2.\nHost 9 is interested in task 3.\nHost 9 is interested in task 4.\nHost 6 is interested in task 5.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph594", "image": "data/matching/graph_visual/hard/graph594.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 9 is interested in task 1.\nHost 0 is interested in task 4.\nHost 11 is interested in task 12.\nHost 3 is interested in task 1.\nHost 11 is interested in task 3.\nHost 2 is interested in task 6.\nHost 0 is interested in task 0.\nHost 9 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 10 is interested in task 8.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 10.\nHost 7 is interested in task 9.\nHost 4 is interested in task 8.\nHost 10 is interested in task 5.\nHost 10 is interested in task 1.\nHost 2 is interested in task 11.\nHost 10 is interested in task 4.\nHost 4 is interested in task 12.\nHost 5 is interested in task 9.\nHost 10 is interested in task 3.\nHost 11 is interested in task 13.\nHost 11 is interested in task 4.\nHost 10 is interested in task 12.\nHost 9 is interested in task 12.\nHost 4 is interested in task 0.\nHost 2 is interested in task 7.\nHost 10 is interested in task 0.\nHost 7 is interested in task 11.\nHost 8 is interested in task 0.\nHost 4 is interested in task 9.\nHost 8 is interested in task 10.\nHost 7 is interested in task 8.\nHost 10 is interested in task 2.\nHost 10 is interested in task 7.\nHost 0 is interested in task 7.\nHost 11 is interested in task 8.\nHost 11 is interested in task 6.\nHost 1 is interested in task 13.\nHost 11 is interested in task 7.\nHost 1 is interested in task 0.\nHost 11 is interested in task 2.\nHost 1 is interested in task 6.\nHost 1 is interested in task 7.\nHost 11 is interested in task 11.\nHost 8 is interested in task 8.\nHost 2 is interested in task 2.\nHost 5 is interested in task 7.\nHost 9 is interested in task 10.\nHost 9 is interested in task 4.\nHost 2 is interested in task 12.\nHost 11 is interested in task 9.\nHost 3 is interested in task 13.\nHost 4 is interested in task 3.\nHost 4 is interested in task 7.\nHost 1 is interested in task 10.\nHost 2 is interested in task 5.\nHost 5 is interested in task 13.\nHost 10 is interested in task 10.\nHost 3 is interested in task 0.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph523", "image": "data/matching/graph_visual/hard/graph523.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 8.\nHost 6 is interested in task 4.\nHost 3 is interested in task 8.\nHost 6 is interested in task 5.\nHost 3 is interested in task 11.\nHost 1 is interested in task 3.\nHost 4 is interested in task 8.\nHost 0 is interested in task 3.\nHost 7 is interested in task 9.\nHost 2 is interested in task 10.\nHost 9 is interested in task 8.\nHost 3 is interested in task 1.\nHost 0 is interested in task 6.\nHost 0 is interested in task 11.\nHost 8 is interested in task 0.\nHost 9 is interested in task 1.\nHost 5 is interested in task 5.\nHost 10 is interested in task 7.\nHost 7 is interested in task 7.\nHost 1 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2.\nHost 9 is interested in task 0.\nHost 7 is interested in task 3.\nHost 5 is interested in task 2.\nHost 9 is interested in task 5.\nHost 11 is interested in task 4.\nHost 5 is interested in task 9.\nHost 6 is interested in task 11.\nHost 10 is interested in task 6.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 8 is interested in task 8.\nHost 3 is interested in task 7.\nHost 11 is interested in task 5.\nHost 0 is interested in task 9.\nHost 9 is interested in task 6.\nHost 10 is interested in task 2.\nHost 0 is interested in task 1.\nHost 11 is interested in task 2.\nHost 5 is interested in task 11.\nHost 7 is interested in task 2.\nHost 9 is interested in task 10.\nHost 3 is interested in task 4.\nHost 0 is interested in task 8.\nHost 1 is interested in task 11.\nHost 4 is interested in task 1.\nHost 1 is interested in task 9.\nHost 5 is interested in task 6.\nHost 2 is interested in task 3.\nHost 8 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 4.\nHost 11 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 7 is interested in task 0.\nHost 11 is interested in task 11.\nHost 5 is interested in task 10.\nHost 3 is interested in task 2.\nHost 4 is interested in task 6.\nHost 10 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph982", "image": "data/matching/graph_visual/hard/graph982.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 10 is interested in task 13.\nHost 5 is interested in task 2.\nHost 10 is interested in task 3.\nHost 10 is interested in task 12.\nHost 9 is interested in task 7.\nHost 13 is interested in task 12.\nHost 2 is interested in task 7.\nHost 5 is interested in task 14.\nHost 11 is interested in task 13.\nHost 11 is interested in task 2.\nHost 3 is interested in task 13.\nHost 13 is interested in task 5.\nHost 8 is interested in task 13.\nHost 1 is interested in task 8.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 4.\nHost 11 is interested in task 7.\nHost 3 is interested in task 7.\nHost 7 is interested in task 14.\nHost 3 is interested in task 2.\nHost 8 is interested in task 6.\nHost 8 is interested in task 9.\nHost 11 is interested in task 14.\nHost 13 is interested in task 3.\nHost 12 is interested in task 5.\nHost 5 is interested in task 10.\nHost 4 is interested in task 4.\nHost 6 is interested in task 1.\nHost 11 is interested in task 10.\nHost 12 is interested in task 9.\nHost 0 is interested in task 0.\nHost 11 is interested in task 6.\nHost 2 is interested in task 9.\nHost 1 is interested in task 3.\nHost 9 is interested in task 0.\nHost 13 is interested in task 10.\nHost 8 is interested in task 0.\nHost 13 is interested in task 2.\nHost 8 is interested in task 4.\nHost 5 is interested in task 3.\nHost 1 is interested in task 14.\nHost 1 is interested in task 10.\nHost 5 is interested in task 4.\nHost 13 is interested in task 7.\nHost 1 is interested in task 5.\nHost 10 is interested in task 5.\nHost 9 is interested in task 2.\nHost 2 is interested in task 10.\nHost 12 is interested in task 6.\nHost 9 is interested in task 8.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 9.\nHost 4 is interested in task 14.\nHost 1 is interested in task 12.\nHost 13 is interested in task 14.\nHost 2 is interested in task 14.\nHost 13 is interested in task 13.\nHost 3 is interested in task 3.\nHost 7 is interested in task 11.\nHost 6 is interested in task 12.\nHost 9 is interested in task 10.\nHost 5 is interested in task 7.\nHost 4 is interested in task 0.\nHost 13 is interested in task 9.\nHost 7 is interested in task 4.\nHost 3 is interested in task 11.\nHost 10 is interested in task 1.\nHost 7 is interested in task 5.\nHost 3 is interested in task 5.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph170", "image": "data/matching/graph_visual/hard/graph170.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 7 is interested in task 11.\nHost 0 is interested in task 6.\nHost 8 is interested in task 6.\nHost 4 is interested in task 11.\nHost 8 is interested in task 2.\nHost 8 is interested in task 7.\nHost 8 is interested in task 8.\nHost 2 is interested in task 3.\nHost 7 is interested in task 7.\nHost 4 is interested in task 9.\nHost 1 is interested in task 3.\nHost 1 is interested in task 6.\nHost 2 is interested in task 6.\nHost 9 is interested in task 1.\nHost 1 is interested in task 7.\nHost 7 is interested in task 1.\nHost 9 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 5 is interested in task 7.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 2 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 10.\nHost 7 is interested in task 8.\nHost 8 is interested in task 11.\nHost 9 is interested in task 5.\nHost 8 is interested in task 10.\nHost 3 is interested in task 10.\nHost 1 is interested in task 4.\nHost 2 is interested in task 7.\nHost 0 is interested in task 11.\nHost 4 is interested in task 5.\nHost 5 is interested in task 6.\nHost 2 is interested in task 8.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 7 is interested in task 2.\nHost 0 is interested in task 2.\nHost 9 is interested in task 7.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 10.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1242", "image": "data/matching/graph_visual/hard/graph1242.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 17.\nHost 11 is interested in task 0.\nHost 5 is interested in task 7.\nHost 13 is interested in task 8.\nHost 12 is interested in task 11.\nHost 2 is interested in task 0.\nHost 9 is interested in task 9.\nHost 4 is interested in task 3.\nHost 11 is interested in task 13.\nHost 13 is interested in task 9.\nHost 6 is interested in task 11.\nHost 1 is interested in task 15.\nHost 2 is interested in task 15.\nHost 7 is interested in task 14.\nHost 8 is interested in task 0.\nHost 13 is interested in task 3.\nHost 9 is interested in task 12.\nHost 13 is interested in task 5.\nHost 12 is interested in task 5.\nHost 10 is interested in task 12.\nHost 10 is interested in task 9.\nHost 5 is interested in task 1.\nHost 14 is interested in task 8.\nHost 9 is interested in task 16.\nHost 6 is interested in task 2.\nHost 5 is interested in task 10.\nHost 5 is interested in task 11.\nHost 11 is interested in task 7.\nHost 3 is interested in task 2.\nHost 8 is interested in task 11.\nHost 0 is interested in task 1.\nHost 8 is interested in task 16.\nHost 13 is interested in task 16.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 6.\nHost 12 is interested in task 10.\nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 13.\nHost 9 is interested in task 14.\nHost 14 is interested in task 11.\nHost 10 is interested in task 5.\nHost 12 is interested in task 16.\nHost 0 is interested in task 6.\nHost 9 is interested in task 8.\nHost 12 is interested in task 15.\nHost 0 is interested in task 7.\nHost 10 is interested in task 11.\nHost 1 is interested in task 7.\nHost 3 is interested in task 16.\nHost 3 is interested in task 12.\nHost 9 is interested in task 1.\nHost 13 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 8.\nHost 7 is interested in task 16.\nHost 5 is interested in task 17.\nHost 14 is interested in task 5.\nHost 9 is interested in task 4.\nHost 0 is interested in task 11.\nHost 4 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 11 is interested in task 5.\nHost 13 is interested in task 10.\nHost 8 is interested in task 1.\nHost 9 is interested in task 10.\nHost 11 is interested in task 10.\nHost 9 is interested in task 15.\nHost 11 is interested in task 2.\nHost 10 is interested in task 15.\nHost 14 is interested in task 1.\nHost 12 is interested in task 9.\nHost 14 is interested in task 16.\nHost 11 is interested in task 6.\nHost 3 is interested in task 14.\nHost 9 is interested in task 11.\nHost 0 is interested in task 14.\nHost 6 is interested in task 7.\nHost 8 is interested in task 13.\nHost 12 is interested in task 2.\nHost 2 is interested in task 9.\nHost 10 is interested in task 8.\nHost 9 is interested in task 7.\nHost 3 is interested in task 3.\nHost 3 is interested in task 6.\nHost 11 is interested in task 16.\nHost 7 is interested in task 0.\nHost 4 is interested in task 9.\nHost 14 is interested in task 17.\nHost 0 is interested in task 16.\nHost 7 is interested in task 12.\nHost 13 is interested in task 7.\nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 13 is interested in task 11.\nHost 13 is interested in task 13.\nHost 11 is interested in task 3.\nHost 6 is interested in task 13.\nHost 2 is interested in task 2.\nHost 9 is interested in task 5.\nHost 9 is interested in task 6.\nHost 13 is interested in task 12.\nHost 13 is interested in task 2.\nHost 11 is interested in task 11.\nHost 6 is interested in task 10.\nHost 1 is interested in task 5.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph431", "image": "data/matching/graph_visual/hard/graph431.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 9 is interested in task 0.\nHost 7 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 3.\nHost 10 is interested in task 2.\nHost 10 is interested in task 3.\nHost 8 is interested in task 1.\nHost 10 is interested in task 7.\nHost 9 is interested in task 3.\nHost 8 is interested in task 8.\nHost 5 is interested in task 6.\nHost 10 is interested in task 1.\nHost 9 is interested in task 4.\nHost 9 is interested in task 5.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 6.\nHost 1 is interested in task 8.\nHost 2 is interested in task 7.\nHost 10 is interested in task 4.\nHost 11 is interested in task 7.\nHost 6 is interested in task 4.\nHost 4 is interested in task 2.\nHost 11 is interested in task 5.\nHost 7 is interested in task 2.\nHost 10 is interested in task 0.\nHost 0 is interested in task 5.\nHost 7 is interested in task 3.\nHost 3 is interested in task 8.\nHost 3 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7.\nHost 5 is interested in task 5.\nHost 6 is interested in task 8.\nHost 10 is interested in task 5.\nHost 8 is interested in task 6.\nHost 9 is interested in task 8.\nHost 5 is interested in task 7.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 10 is interested in task 6.\nHost 0 is interested in task 8.\nHost 7 is interested in task 0.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 3 is interested in task 3.\nHost 7 is interested in task 8.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph456", "image": "data/matching/graph_visual/hard/graph456.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 3 is interested in task 9.\nHost 0 is interested in task 6.\nHost 8 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 11 is interested in task 6.\nHost 7 is interested in task 5.\nHost 10 is interested in task 9.\nHost 3 is interested in task 1.\nHost 5 is interested in task 2.\nHost 9 is interested in task 2.\nHost 4 is interested in task 7.\nHost 7 is interested in task 7.\nHost 4 is interested in task 4.\nHost 7 is interested in task 0.\nHost 6 is interested in task 7.\nHost 6 is interested in task 9.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 10 is interested in task 7.\nHost 11 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1.\nHost 11 is interested in task 4.\nHost 2 is interested in task 7.\nHost 11 is interested in task 3.\nHost 0 is interested in task 9.\nHost 8 is interested in task 9.\nHost 2 is interested in task 9.\nHost 6 is interested in task 2.\nHost 10 is interested in task 6.\nHost 7 is interested in task 1.\nHost 6 is interested in task 8.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 1.\nHost 0 is interested in task 7.\nHost 10 is interested in task 4.\nHost 6 is interested in task 3.\nHost 8 is interested in task 3.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 4 is interested in task 9.\nHost 11 is interested in task 0.\nHost 5 is interested in task 7.\nHost 0 is interested in task 2.\nHost 8 is interested in task 2.\nHost 6 is interested in task 5.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1027", "image": "data/matching/graph_visual/hard/graph1027.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 2 is interested in task 12.\nHost 5 is interested in task 15.\nHost 1 is interested in task 14.\nHost 9 is interested in task 10.\nHost 10 is interested in task 10.\nHost 1 is interested in task 3.\nHost 3 is interested in task 16.\nHost 0 is interested in task 11.\nHost 1 is interested in task 5.\nHost 1 is interested in task 15.\nHost 6 is interested in task 8.\nHost 5 is interested in task 11.\nHost 4 is interested in task 15.\nHost 9 is interested in task 7.\nHost 8 is interested in task 15.\nHost 2 is interested in task 11.\nHost 12 is interested in task 1.\nHost 13 is interested in task 4.\nHost 8 is interested in task 0.\nHost 11 is interested in task 4.\nHost 7 is interested in task 11.\nHost 8 is interested in task 8.\nHost 3 is interested in task 10.\nHost 8 is interested in task 16.\nHost 9 is interested in task 15.\nHost 3 is interested in task 3.\nHost 11 is interested in task 15.\nHost 9 is interested in task 9.\nHost 1 is interested in task 10.\nHost 8 is interested in task 13.\nHost 13 is interested in task 10.\nHost 12 is interested in task 11.\nHost 0 is interested in task 3.\nHost 3 is interested in task 6.\nHost 9 is interested in task 0.\nHost 13 is interested in task 5.\nHost 9 is interested in task 5.\nHost 13 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 9.\nHost 8 is interested in task 12.\nHost 1 is interested in task 9.\nHost 3 is interested in task 9.\nHost 10 is interested in task 15.\nHost 7 is interested in task 9.\nHost 1 is interested in task 8.\nHost 8 is interested in task 9.\nHost 8 is interested in task 6.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 13.\nHost 11 is interested in task 1.\nHost 5 is interested in task 13.\nHost 3 is interested in task 12.\nHost 8 is interested in task 11.\nHost 6 is interested in task 14.\nHost 2 is interested in task 3.\nHost 0 is interested in task 14.\nHost 1 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 15.\nHost 7 is interested in task 1.\nHost 5 is interested in task 12.\nHost 7 is interested in task 6.\nHost 12 is interested in task 10.\nHost 2 is interested in task 0.\nHost 1 is interested in task 16.\nHost 8 is interested in task 3.\nHost 5 is interested in task 16.\nHost 10 is interested in task 1.\nHost 2 is interested in task 1.\nHost 13 is interested in task 14.\nHost 0 is interested in task 7.\nHost 6 is interested in task 1.\nHost 2 is interested in task 16.\nHost 5 is interested in task 3.\nHost 5 is interested in task 10.\nHost 6 is interested in task 3.\nHost 10 is interested in task 2.\nHost 3 is interested in task 7.\nHost 13 is interested in task 12.\nHost 10 is interested in task 11.\nHost 10 is interested in task 0.\nHost 11 is interested in task 11.\nHost 10 is interested in task 7.\nHost 13 is interested in task 13.\nHost 3 is interested in task 8.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 10 is interested in task 5.\nHost 8 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 13.\nHost 11 is interested in task 10.\nHost 9 is interested in task 11.\nHost 7 is interested in task 2.\nHost 3 is interested in task 13.\nHost 12 is interested in task 8.\nHost 5 is interested in task 14.\nHost 3 is interested in task 15.\nHost 11 is interested in task 5.\nHost 12 is interested in task 15.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 4 is interested in task 11.\nHost 5 is interested in task 8.\nHost 5 is interested in task 7.\nHost 6 is interested in task 7.\nHost 9 is interested in task 14.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph247", "image": "data/matching/graph_visual/hard/graph247.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 10 is interested in task 4.\nHost 2 is interested in task 0.\nHost 9 is interested in task 7.\nHost 6 is interested in task 2.\nHost 10 is interested in task 7.\nHost 6 is interested in task 0.\nHost 2 is interested in task 4.\nHost 7 is interested in task 5.\nHost 1 is interested in task 8.\nHost 2 is interested in task 2.\nHost 1 is interested in task 6.\nHost 2 is interested in task 5.\nHost 7 is interested in task 7.\nHost 9 is interested in task 0.\nHost 1 is interested in task 7.\nHost 9 is interested in task 1.\nHost 5 is interested in task 6.\nHost 5 is interested in task 4.\nHost 8 is interested in task 7.\nHost 10 is interested in task 3.\nHost 0 is interested in task 6.\nHost 8 is interested in task 8.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 6.\nHost 8 is interested in task 0.\nHost 0 is interested in task 8.\nHost 6 is interested in task 4.\nHost 10 is interested in task 1.\nHost 6 is interested in task 1.\nHost 5 is interested in task 7.\nHost 7 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2.\nHost 9 is interested in task 8.\nHost 0 is interested in task 7.\nHost 4 is interested in task 7.\nHost 9 is interested in task 3.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 4 is interested in task 0.\nHost 7 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 5.\nHost 2 is interested in task 8.\nHost 8 is interested in task 5.\nHost 5 is interested in task 2.\nHost 4 is interested in task 8.\nHost 1 is interested in task 0.\nHost 10 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph983", "image": "data/matching/graph_visual/hard/graph983.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 10.\nHost 1 is interested in task 10.\nHost 3 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 6.\nHost 13 is interested in task 7.\nHost 4 is interested in task 14.\nHost 13 is interested in task 5.\nHost 9 is interested in task 4.\nHost 4 is interested in task 1.\nHost 9 is interested in task 3.\nHost 5 is interested in task 7.\nHost 1 is interested in task 9.\nHost 2 is interested in task 5.\nHost 13 is interested in task 14.\nHost 13 is interested in task 0.\nHost 13 is interested in task 10.\nHost 10 is interested in task 14.\nHost 3 is interested in task 14.\nHost 5 is interested in task 1.\nHost 2 is interested in task 13.\nHost 12 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 8 is interested in task 14.\nHost 7 is interested in task 11.\nHost 8 is interested in task 10.\nHost 10 is interested in task 11.\nHost 2 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 14.\nHost 1 is interested in task 12.\nHost 8 is interested in task 7.\nHost 5 is interested in task 8.\nHost 6 is interested in task 1.\nHost 2 is interested in task 7.\nHost 12 is interested in task 3.\nHost 5 is interested in task 6.\nHost 5 is interested in task 5.\nHost 0 is interested in task 5.\nHost 13 is interested in task 6.\nHost 10 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 9.\nHost 6 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 8.\nHost 2 is interested in task 12.\nHost 7 is interested in task 13.\nHost 11 is interested in task 1.\nHost 9 is interested in task 1.\nHost 0 is interested in task 11.\nHost 10 is interested in task 1.\nHost 13 is interested in task 13.\nHost 2 is interested in task 3.\nHost 3 is interested in task 13.\nHost 8 is interested in task 9.\nHost 5 is interested in task 0.\nHost 7 is interested in task 7.\nHost 9 is interested in task 11.\nHost 11 is interested in task 11.\nHost 6 is interested in task 10.\nHost 6 is interested in task 6.\nHost 12 is interested in task 7.\nHost 5 is interested in task 3.\nHost 6 is interested in task 8.\nHost 11 is interested in task 3.\nHost 10 is interested in task 6.\nHost 9 is interested in task 8.\nHost 11 is interested in task 13.\nHost 3 is interested in task 1.\nHost 7 is interested in task 12.\nHost 8 is interested in task 2.\nHost 6 is interested in task 9.\nHost 11 is interested in task 10.\nHost 9 is interested in task 9.\nHost 8 is interested in task 3.\nHost 6 is interested in task 13.\nHost 7 is interested in task 5.\nHost 4 is interested in task 0.\nHost 4 is interested in task 13.\nHost 12 is interested in task 8.\nHost 4 is interested in task 12.\nHost 2 is interested in task 2.\nHost 10 is interested in task 12.\nHost 6 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph316", "image": "data/matching/graph_visual/hard/graph316.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 2 is interested in task 10.\nHost 0 is interested in task 2.\nHost 7 is interested in task 7.\nHost 4 is interested in task 6.\nHost 1 is interested in task 1.\nHost 7 is interested in task 2.\nHost 4 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 9.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9.\nHost 4 is interested in task 1.\nHost 7 is interested in task 8.\nHost 1 is interested in task 6.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 9.\nHost 2 is interested in task 4.\nHost 9 is interested in task 4.\nHost 8 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3.\nHost 4 is interested in task 7.\nHost 10 is interested in task 8.\nHost 1 is interested in task 0.\nHost 4 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 1.\nHost 5 is interested in task 9.\nHost 2 is interested in task 1.\nHost 0 is interested in task 7.\nHost 7 is interested in task 3.\nHost 9 is interested in task 7.\nHost 9 is interested in task 0.\nHost 1 is interested in task 3.\nHost 7 is interested in task 1.\nHost 2 is interested in task 6.\nHost 7 is interested in task 9.\nHost 6 is interested in task 4.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph872", "image": "data/matching/graph_visual/hard/graph872.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 8.\nHost 7 is interested in task 8.\nHost 6 is interested in task 6.\nHost 3 is interested in task 7.\nHost 12 is interested in task 6.\nHost 8 is interested in task 8.\nHost 6 is interested in task 4.\nHost 11 is interested in task 6.\nHost 2 is interested in task 9.\nHost 4 is interested in task 11.\nHost 12 is interested in task 11.\nHost 7 is interested in task 2.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 7 is interested in task 5.\nHost 0 is interested in task 5.\nHost 9 is interested in task 1.\nHost 0 is interested in task 9.\nHost 8 is interested in task 7.\nHost 8 is interested in task 3.\nHost 12 is interested in task 0.\nHost 7 is interested in task 10.\nHost 11 is interested in task 8.\nHost 3 is interested in task 10.\nHost 12 is interested in task 2.\nHost 4 is interested in task 1.\nHost 12 is interested in task 1.\nHost 1 is interested in task 8.\nHost 2 is interested in task 1.\nHost 0 is interested in task 10.\nHost 1 is interested in task 2.\nHost 5 is interested in task 6.\nHost 4 is interested in task 10.\nHost 6 is interested in task 7.\nHost 10 is interested in task 11.\nHost 1 is interested in task 9.\nHost 6 is interested in task 11.\nHost 4 is interested in task 4.\nHost 8 is interested in task 1.\nHost 1 is interested in task 10.\nHost 11 is interested in task 7.\nHost 8 is interested in task 11.\nHost 7 is interested in task 9.\nHost 3 is interested in task 6.\nHost 3 is interested in task 11.\nHost 12 is interested in task 10.\nHost 8 is interested in task 2.\nHost 11 is interested in task 5.\nHost 3 is interested in task 5.\nHost 8 is interested in task 6.\nHost 10 is interested in task 3.\nHost 2 is interested in task 5.\nHost 6 is interested in task 1.\nHost 2 is interested in task 3.\nHost 10 is interested in task 10.\nHost 9 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 3.\nHost 11 is interested in task 10.\nHost 4 is interested in task 3.\nHost 11 is interested in task 2.\nHost 1 is interested in task 6.\nHost 8 is interested in task 5.\nHost 1 is interested in task 5.\nHost 12 is interested in task 5.\nHost 1 is interested in task 1.\nHost 12 is interested in task 4.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph900", "image": "data/matching/graph_visual/hard/graph900.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 2 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 0.\nHost 12 is interested in task 4.\nHost 0 is interested in task 1.\nHost 3 is interested in task 8.\nHost 0 is interested in task 5.\nHost 1 is interested in task 9.\nHost 8 is interested in task 11.\nHost 0 is interested in task 9.\nHost 8 is interested in task 4.\nHost 6 is interested in task 8.\nHost 10 is interested in task 11.\nHost 8 is interested in task 10.\nHost 10 is interested in task 0.\nHost 9 is interested in task 4.\nHost 4 is interested in task 5.\nHost 6 is interested in task 5.\nHost 13 is interested in task 8.\nHost 4 is interested in task 3.\nHost 13 is interested in task 5.\nHost 12 is interested in task 0.\nHost 12 is interested in task 3.\nHost 7 is interested in task 8.\nHost 6 is interested in task 9.\nHost 11 is interested in task 11.\nHost 0 is interested in task 10.\nHost 6 is interested in task 3.\nHost 11 is interested in task 5.\nHost 8 is interested in task 3.\nHost 10 is interested in task 10.\nHost 6 is interested in task 2.\nHost 10 is interested in task 1.\nHost 8 is interested in task 0.\nHost 6 is interested in task 6.\nHost 5 is interested in task 10.\nHost 5 is interested in task 8.\nHost 4 is interested in task 11.\nHost 3 is interested in task 11.\nHost 2 is interested in task 1.\nHost 11 is interested in task 10.\nHost 0 is interested in task 7.\nHost 0 is interested in task 8.\nHost 8 is interested in task 9.\nHost 9 is interested in task 11.\nHost 4 is interested in task 6.\nHost 12 is interested in task 6.\nHost 0 is interested in task 2.\nHost 2 is interested in task 11.\nHost 4 is interested in task 2.\nHost 13 is interested in task 10.\nHost 4 is interested in task 4.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 3 is interested in task 6.\nHost 3 is interested in task 12.\nHost 13 is interested in task 7.\nHost 10 is interested in task 6.\nHost 0 is interested in task 12.\nHost 5 is interested in task 3.\nHost 7 is interested in task 11.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph410", "image": "data/matching/graph_visual/hard/graph410.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 3 is interested in task 8.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3.\nHost 10 is interested in task 13.\nHost 6 is interested in task 13.\nHost 10 is interested in task 10.\nHost 9 is interested in task 11.\nHost 7 is interested in task 2.\nHost 1 is interested in task 7.\nHost 10 is interested in task 3.\nHost 0 is interested in task 13.\nHost 5 is interested in task 6.\nHost 8 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 12.\nHost 3 is interested in task 7.\nHost 8 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 11.\nHost 5 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 2.\nHost 1 is interested in task 11.\nHost 2 is interested in task 5.\nHost 7 is interested in task 10.\nHost 3 is interested in task 9.\nHost 9 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 1.\nHost 10 is interested in task 0.\nHost 3 is interested in task 13.\nHost 0 is interested in task 12.\nHost 5 is interested in task 13.\nHost 8 is interested in task 11.\nHost 0 is interested in task 9.\nHost 6 is interested in task 5.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 6 is interested in task 6.\nHost 10 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 13.\nHost 10 is interested in task 7.\nHost 3 is interested in task 4.\nHost 3 is interested in task 10.\nHost 9 is interested in task 13.\nHost 3 is interested in task 2.\nHost 1 is interested in task 10.\nHost 6 is interested in task 1.\nHost 5 is interested in task 10.\nHost 3 is interested in task 11.\nHost 5 is interested in task 9.\nHost 9 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 8.\nHost 8 is interested in task 13.\nHost 7 is interested in task 11.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1085", "image": "data/matching/graph_visual/hard/graph1085.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 6.\nHost 12 is interested in task 12.\nHost 14 is interested in task 6.\nHost 3 is interested in task 10.\nHost 13 is interested in task 1.\nHost 13 is interested in task 3.\nHost 10 is interested in task 7.\nHost 4 is interested in task 2.\nHost 7 is interested in task 7.\nHost 11 is interested in task 1.\nHost 0 is interested in task 7.\nHost 9 is interested in task 12.\nHost 13 is interested in task 8.\nHost 5 is interested in task 12.\nHost 8 is interested in task 1.\nHost 4 is interested in task 0.\nHost 5 is interested in task 6.\nHost 8 is interested in task 8.\nHost 0 is interested in task 2.\nHost 9 is interested in task 11.\nHost 6 is interested in task 11.\nHost 7 is interested in task 3.\nHost 4 is interested in task 10.\nHost 5 is interested in task 1.\nHost 4 is interested in task 6.\nHost 13 is interested in task 7.\nHost 10 is interested in task 4.\nHost 12 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 3.\nHost 7 is interested in task 12.\nHost 6 is interested in task 12.\nHost 4 is interested in task 8.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 5 is interested in task 9.\nHost 5 is interested in task 8.\nHost 11 is interested in task 0.\nHost 9 is interested in task 7.\nHost 5 is interested in task 11.\nHost 0 is interested in task 1.\nHost 6 is interested in task 10.\nHost 10 is interested in task 10.\nHost 9 is interested in task 4.\nHost 0 is interested in task 10.\nHost 9 is interested in task 10.\nHost 13 is interested in task 0.\nHost 1 is interested in task 0.\nHost 14 is interested in task 8.\nHost 12 is interested in task 9.\nHost 5 is interested in task 7.\nHost 4 is interested in task 5.\nHost 8 is interested in task 7.\nHost 7 is interested in task 5.\nHost 4 is interested in task 1.\nHost 7 is interested in task 0.\nHost 6 is interested in task 9.\nHost 14 is interested in task 5.\nHost 10 is interested in task 3.\nHost 10 is interested in task 8.\nHost 11 is interested in task 3.\nHost 5 is interested in task 4.\nHost 4 is interested in task 11.\nHost 3 is interested in task 11.\nHost 4 is interested in task 7.\nHost 12 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 12.\nHost 6 is interested in task 0.\nHost 11 is interested in task 9.\nHost 4 is interested in task 12.\nHost 12 is interested in task 3.\nHost 12 is interested in task 10.\nHost 14 is interested in task 2.\nHost 5 is interested in task 5.\nHost 13 is interested in task 12.\nHost 4 is interested in task 4.\nHost 12 is interested in task 1.\nHost 12 is interested in task 5.\nHost 6 is interested in task 3.\nHost 14 is interested in task 4.\nHost 7 is interested in task 10.\nHost 7 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph490", "image": "data/matching/graph_visual/hard/graph490.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 9 is interested in task 9.\nHost 0 is interested in task 10.\nHost 1 is interested in task 5.\nHost 3 is interested in task 8.\nHost 1 is interested in task 1.\nHost 2 is interested in task 9.\nHost 10 is interested in task 0.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 8 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 2.\nHost 0 is interested in task 2.\nHost 10 is interested in task 2.\nHost 11 is interested in task 10.\nHost 9 is interested in task 5.\nHost 5 is interested in task 4.\nHost 10 is interested in task 5.\nHost 6 is interested in task 7.\nHost 0 is interested in task 3.\nHost 6 is interested in task 10.\nHost 11 is interested in task 9.\nHost 9 is interested in task 7.\nHost 2 is interested in task 4.\nHost 5 is interested in task 0.\nHost 7 is interested in task 10.\nHost 0 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 11 is interested in task 6.\nHost 10 is interested in task 3.\nHost 9 is interested in task 10.\nHost 6 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 10.\nHost 8 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 5.\nHost 6 is interested in task 3.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 0 is interested in task 9.\nHost 3 is interested in task 1.\nHost 11 is interested in task 2.\nHost 0 is interested in task 4.\nHost 5 is interested in task 3.\nHost 9 is interested in task 8.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1009", "image": "data/matching/graph_visual/hard/graph1009.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 14.\nHost 5 is interested in task 14.\nHost 4 is interested in task 1.\nHost 1 is interested in task 9.\nHost 7 is interested in task 8.\nHost 9 is interested in task 0.\nHost 10 is interested in task 13.\nHost 4 is interested in task 4.\nHost 13 is interested in task 5.\nHost 11 is interested in task 14.\nHost 0 is interested in task 13.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 4 is interested in task 12.\nHost 4 is interested in task 10.\nHost 8 is interested in task 14.\nHost 12 is interested in task 15.\nHost 6 is interested in task 15.\nHost 7 is interested in task 3.\nHost 8 is interested in task 0.\nHost 13 is interested in task 0.\nHost 0 is interested in task 7.\nHost 2 is interested in task 9.\nHost 5 is interested in task 13.\nHost 8 is interested in task 1.\nHost 11 is interested in task 7.\nHost 1 is interested in task 3.\nHost 13 is interested in task 10.\nHost 3 is interested in task 13.\nHost 4 is interested in task 0.\nHost 1 is interested in task 11.\nHost 0 is interested in task 14.\nHost 11 is interested in task 2.\nHost 3 is interested in task 5.\nHost 10 is interested in task 7.\nHost 11 is interested in task 5.\nHost 2 is interested in task 0.\nHost 10 is interested in task 1.\nHost 12 is interested in task 8.\nHost 6 is interested in task 3.\nHost 8 is interested in task 12.\nHost 8 is interested in task 11.\nHost 5 is interested in task 10.\nHost 1 is interested in task 2.\nHost 9 is interested in task 10.\nHost 2 is interested in task 1.\nHost 8 is interested in task 7.\nHost 4 is interested in task 6.\nHost 7 is interested in task 6.\nHost 3 is interested in task 9.\nHost 6 is interested in task 6.\nHost 13 is interested in task 8.\nHost 13 is interested in task 1.\nHost 6 is interested in task 4.\nHost 10 is interested in task 8.\nHost 6 is interested in task 2.\nHost 12 is interested in task 1.\nHost 8 is interested in task 9.\nHost 5 is interested in task 15.\nHost 9 is interested in task 11.\nHost 8 is interested in task 4.\nHost 4 is interested in task 13.\nHost 9 is interested in task 1.\nHost 4 is interested in task 15.\nHost 9 is interested in task 8.\nHost 3 is interested in task 1.\nHost 7 is interested in task 14.\nHost 11 is interested in task 12.\nHost 3 is interested in task 15.\nHost 6 is interested in task 8.\nHost 9 is interested in task 15.\nHost 0 is interested in task 0.\nHost 11 is interested in task 15.\nHost 2 is interested in task 5.\nHost 1 is interested in task 14.\nHost 4 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 9.\nHost 10 is interested in task 11.\nHost 5 is interested in task 12.\nHost 3 is interested in task 11.\nHost 2 is interested in task 8.\nHost 6 is interested in task 1.\nHost 10 is interested in task 14.\nHost 6 is interested in task 5.\nHost 10 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 9.\nHost 6 is interested in task 9.\nHost 4 is interested in task 5.\nHost 8 is interested in task 3.\nHost 10 is interested in task 4.\nHost 11 is interested in task 11.\nHost 1 is interested in task 15.\nHost 13 is interested in task 14.\nHost 6 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph513", "image": "data/matching/graph_visual/hard/graph513.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 10.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 9 is interested in task 10.\nHost 8 is interested in task 9.\nHost 9 is interested in task 3.\nHost 1 is interested in task 7.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 9.\nHost 6 is interested in task 0.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 8 is interested in task 7.\nHost 3 is interested in task 3.\nHost 8 is interested in task 4.\nHost 2 is interested in task 8.\nHost 3 is interested in task 6.\nHost 0 is interested in task 11.\nHost 9 is interested in task 2.\nHost 7 is interested in task 10.\nHost 5 is interested in task 5.\nHost 5 is interested in task 9.\nHost 3 is interested in task 1.\nHost 7 is interested in task 3.\nHost 3 is interested in task 10.\nHost 11 is interested in task 2.\nHost 2 is interested in task 9.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 6 is interested in task 8.\nHost 6 is interested in task 4.\nHost 6 is interested in task 7.\nHost 11 is interested in task 4.\nHost 4 is interested in task 8.\nHost 4 is interested in task 2.\nHost 11 is interested in task 10.\nHost 0 is interested in task 1.\nHost 7 is interested in task 1.\nHost 9 is interested in task 1.\nHost 10 is interested in task 2.\nHost 2 is interested in task 3.\nHost 10 is interested in task 6.\nHost 9 is interested in task 4.\nHost 2 is interested in task 2.\nHost 8 is interested in task 6.\nHost 5 is interested in task 0.\nHost 9 is interested in task 8.\nHost 9 is interested in task 11.\nHost 9 is interested in task 7.\nHost 1 is interested in task 6.\nHost 11 is interested in task 5.\nHost 5 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph575", "image": "data/matching/graph_visual/hard/graph575.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 1.\nHost 9 is interested in task 12.\nHost 0 is interested in task 1.\nHost 10 is interested in task 8.\nHost 11 is interested in task 4.\nHost 1 is interested in task 8.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 4 is interested in task 7.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 7 is interested in task 13.\nHost 2 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 5.\nHost 10 is interested in task 2.\nHost 5 is interested in task 0.\nHost 0 is interested in task 8.\nHost 11 is interested in task 3.\nHost 0 is interested in task 12.\nHost 0 is interested in task 0.\nHost 10 is interested in task 5.\nHost 1 is interested in task 1.\nHost 6 is interested in task 9.\nHost 2 is interested in task 3.\nHost 0 is interested in task 11.\nHost 4 is interested in task 10.\nHost 8 is interested in task 6.\nHost 4 is interested in task 0.\nHost 11 is interested in task 9.\nHost 5 is interested in task 12.\nHost 2 is interested in task 6.\nHost 2 is interested in task 4.\nHost 2 is interested in task 1.\nHost 6 is interested in task 7.\nHost 4 is interested in task 9.\nHost 9 is interested in task 8.\nHost 9 is interested in task 4.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 11.\nHost 1 is interested in task 7.\nHost 3 is interested in task 7.\nHost 4 is interested in task 13.\nHost 4 is interested in task 4.\nHost 1 is interested in task 13.\nHost 2 is interested in task 13.\nHost 6 is interested in task 12.\nHost 1 is interested in task 5.\nHost 9 is interested in task 11.\nHost 7 is interested in task 4.\nHost 11 is interested in task 8.\nHost 9 is interested in task 10.\nHost 7 is interested in task 11.\nHost 9 is interested in task 6.\nHost 3 is interested in task 6.\nHost 11 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 11.\nHost 8 is interested in task 4.\nHost 7 is interested in task 3.\nHost 1 is interested in task 10.\nHost 10 is interested in task 11.\nHost 9 is interested in task 7.\nHost 10 is interested in task 6.\nHost 0 is interested in task 10.\nHost 5 is interested in task 5.\nHost 6 is interested in task 1.\nHost 7 is interested in task 10.\nHost 4 is interested in task 6.\nHost 6 is interested in task 4.\nHost 3 is interested in task 4.\nHost 6 is interested in task 11.\nHost 10 is interested in task 7.\nHost 0 is interested in task 9.\nHost 10 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph347", "image": "data/matching/graph_visual/hard/graph347.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 9.\nHost 7 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 6.\nHost 3 is interested in task 10.\nHost 5 is interested in task 11.\nHost 5 is interested in task 9.\nHost 7 is interested in task 1.\nHost 5 is interested in task 10.\nHost 8 is interested in task 7.\nHost 8 is interested in task 11.\nHost 5 is interested in task 3.\nHost 8 is interested in task 3.\nHost 3 is interested in task 9.\nHost 9 is interested in task 8.\nHost 6 is interested in task 8.\nHost 0 is interested in task 1.\nHost 0 is interested in task 6.\nHost 3 is interested in task 2.\nHost 10 is interested in task 11.\nHost 10 is interested in task 3.\nHost 0 is interested in task 2.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3.\nHost 9 is interested in task 0.\nHost 9 is interested in task 5.\nHost 7 is interested in task 0.\nHost 8 is interested in task 2.\nHost 5 is interested in task 5.\nHost 9 is interested in task 7.\nHost 1 is interested in task 1.\nHost 2 is interested in task 5.\nHost 6 is interested in task 7.\nHost 1 is interested in task 5.\nHost 1 is interested in task 6.\nHost 1 is interested in task 9.\nHost 0 is interested in task 9.\nHost 3 is interested in task 1.\nHost 6 is interested in task 3.\nHost 10 is interested in task 7.\nHost 5 is interested in task 7.\nHost 3 is interested in task 5.\nHost 9 is interested in task 4.\nHost 7 is interested in task 6.\nHost 7 is interested in task 5.\nHost 6 is interested in task 10.\nHost 1 is interested in task 8.\nHost 6 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 8.\nHost 8 is interested in task 8.\nHost 5 is interested in task 2.\nHost 6 is interested in task 11.\nHost 9 is interested in task 3.\nHost 9 is interested in task 9.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph372", "image": "data/matching/graph_visual/hard/graph372.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 8 is interested in task 8.\nHost 4 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 7.\nHost 3 is interested in task 5.\nHost 2 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 12.\nHost 7 is interested in task 11.\nHost 8 is interested in task 12.\nHost 9 is interested in task 4.\nHost 2 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 9.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 9 is interested in task 10.\nHost 6 is interested in task 4.\nHost 2 is interested in task 6.\nHost 7 is interested in task 10.\nHost 7 is interested in task 6.\nHost 9 is interested in task 0.\nHost 4 is interested in task 11.\nHost 6 is interested in task 10.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 7.\nHost 0 is interested in task 11.\nHost 2 is interested in task 12.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 6 is interested in task 5.\nHost 8 is interested in task 9.\nHost 10 is interested in task 1.\nHost 0 is interested in task 12.\nHost 8 is interested in task 6.\nHost 8 is interested in task 1.\nHost 5 is interested in task 5.\nHost 9 is interested in task 7.\nHost 0 is interested in task 9.\nHost 1 is interested in task 0.\nHost 7 is interested in task 12.\nHost 2 is interested in task 9.\nHost 9 is interested in task 1.\nHost 9 is interested in task 3.\nHost 8 is interested in task 10.\nHost 0 is interested in task 5.\nHost 1 is interested in task 2.\nHost 7 is interested in task 9.\nHost 1 is interested in task 7.\nHost 9 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph66", "image": "data/matching/graph_visual/hard/graph66.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 9 is interested in task 6.\nHost 8 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 5 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 3 is interested in task 3.\nHost 5 is interested in task 0.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 6.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 9 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 3.\nHost 4 is interested in task 7.\nHost 4 is interested in task 6.\nHost 5 is interested in task 3.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 4.\nHost 6 is interested in task 2.\nHost 9 is interested in task 1.\nHost 7 is interested in task 8.\nHost 9 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph688", "image": "data/matching/graph_visual/hard/graph688.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 9 is interested in task 2.\nHost 8 is interested in task 3.\nHost 1 is interested in task 6.\nHost 4 is interested in task 10.\nHost 1 is interested in task 9.\nHost 6 is interested in task 8.\nHost 1 is interested in task 4.\nHost 7 is interested in task 7.\nHost 10 is interested in task 1.\nHost 7 is interested in task 8.\nHost 9 is interested in task 9.\nHost 12 is interested in task 2.\nHost 6 is interested in task 10.\nHost 10 is interested in task 7.\nHost 8 is interested in task 6.\nHost 9 is interested in task 7.\nHost 0 is interested in task 5.\nHost 5 is interested in task 8.\nHost 11 is interested in task 4.\nHost 1 is interested in task 7.\nHost 12 is interested in task 0.\nHost 12 is interested in task 1.\nHost 12 is interested in task 4.\nHost 8 is interested in task 5.\nHost 6 is interested in task 1.\nHost 11 is interested in task 10.\nHost 3 is interested in task 9.\nHost 4 is interested in task 9.\nHost 2 is interested in task 4.\nHost 2 is interested in task 2.\nHost 10 is interested in task 4.\nHost 1 is interested in task 5.\nHost 11 is interested in task 7.\nHost 5 is interested in task 5.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 2.\nHost 9 is interested in task 1.\nHost 6 is interested in task 7.\nHost 10 is interested in task 2.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 3 is interested in task 0.\nHost 8 is interested in task 0.\nHost 1 is interested in task 8.\nHost 9 is interested in task 4.\nHost 4 is interested in task 2.\nHost 6 is interested in task 9.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 4 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph283", "image": "data/matching/graph_visual/hard/graph283.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 0 is interested in task 4.\nHost 10 is interested in task 7.\nHost 10 is interested in task 9.\nHost 3 is interested in task 1.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 10 is interested in task 5.\nHost 0 is interested in task 0.\nHost 7 is interested in task 0.\nHost 5 is interested in task 9.\nHost 3 is interested in task 7.\nHost 2 is interested in task 7.\nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 4 is interested in task 5.\nHost 5 is interested in task 3.\nHost 2 is interested in task 9.\nHost 4 is interested in task 0.\nHost 2 is interested in task 8.\nHost 8 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 9.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 1 is interested in task 7.\nHost 6 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 6.\nHost 0 is interested in task 9.\nHost 8 is interested in task 1.\nHost 9 is interested in task 1.\nHost 3 is interested in task 9.\nHost 1 is interested in task 4.\nHost 8 is interested in task 7.\nHost 6 is interested in task 5.\nHost 3 is interested in task 6.\nHost 6 is interested in task 9.\nHost 8 is interested in task 4.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 8 is interested in task 6.\nHost 4 is interested in task 8.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph527", "image": "data/matching/graph_visual/hard/graph527.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 9 is interested in task 3.\nHost 10 is interested in task 4.\nHost 0 is interested in task 9.\nHost 8 is interested in task 5.\nHost 10 is interested in task 7.\nHost 1 is interested in task 7.\nHost 7 is interested in task 10.\nHost 9 is interested in task 4.\nHost 2 is interested in task 6.\nHost 7 is interested in task 9.\nHost 10 is interested in task 1.\nHost 8 is interested in task 0.\nHost 3 is interested in task 0.\nHost 5 is interested in task 7.\nHost 4 is interested in task 11.\nHost 8 is interested in task 6.\nHost 1 is interested in task 9.\nHost 10 is interested in task 0.\nHost 5 is interested in task 10.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 0 is interested in task 8.\nHost 11 is interested in task 6.\nHost 8 is interested in task 3.\nHost 5 is interested in task 11.\nHost 6 is interested in task 10.\nHost 5 is interested in task 1.\nHost 9 is interested in task 1.\nHost 8 is interested in task 9.\nHost 11 is interested in task 3.\nHost 5 is interested in task 9.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 2 is interested in task 8.\nHost 0 is interested in task 10.\nHost 6 is interested in task 11.\nHost 9 is interested in task 5.\nHost 3 is interested in task 9.\nHost 0 is interested in task 4.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 8 is interested in task 7.\nHost 2 is interested in task 7.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph318", "image": "data/matching/graph_visual/hard/graph318.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 5 is interested in task 3.\nHost 6 is interested in task 2.\nHost 0 is interested in task 4.\nHost 10 is interested in task 4.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 6 is interested in task 10.\nHost 9 is interested in task 10.\nHost 10 is interested in task 1.\nHost 8 is interested in task 8.\nHost 7 is interested in task 0.\nHost 8 is interested in task 9.\nHost 0 is interested in task 10.\nHost 9 is interested in task 1.\nHost 0 is interested in task 7.\nHost 10 is interested in task 2.\nHost 6 is interested in task 4.\nHost 8 is interested in task 4.\nHost 7 is interested in task 1.\nHost 7 is interested in task 3.\nHost 8 is interested in task 10.\nHost 5 is interested in task 6.\nHost 4 is interested in task 10.\nHost 7 is interested in task 2.\nHost 5 is interested in task 8.\nHost 2 is interested in task 5.\nHost 1 is interested in task 6.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 9 is interested in task 7.\nHost 8 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 4.\nHost 9 is interested in task 5.\nHost 7 is interested in task 10.\nHost 10 is interested in task 8.\nHost 5 is interested in task 9.\nHost 3 is interested in task 4.\nHost 8 is interested in task 6.\nHost 6 is interested in task 8.\nHost 7 is interested in task 9.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph661", "image": "data/matching/graph_visual/hard/graph661.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 3.\nHost 5 is interested in task 5.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 7 is interested in task 3.\nHost 8 is interested in task 10.\nHost 2 is interested in task 0.\nHost 11 is interested in task 4.\nHost 3 is interested in task 8.\nHost 6 is interested in task 2.\nHost 12 is interested in task 10.\nHost 5 is interested in task 9.\nHost 7 is interested in task 10.\nHost 7 is interested in task 9.\nHost 5 is interested in task 6.\nHost 11 is interested in task 5.\nHost 0 is interested in task 9.\nHost 9 is interested in task 5.\nHost 8 is interested in task 2.\nHost 3 is interested in task 0.\nHost 2 is interested in task 4.\nHost 10 is interested in task 9.\nHost 8 is interested in task 6.\nHost 1 is interested in task 7.\nHost 5 is interested in task 1.\nHost 8 is interested in task 3.\nHost 8 is interested in task 1.\nHost 2 is interested in task 9.\nHost 3 is interested in task 3.\nHost 12 is interested in task 4.\nHost 4 is interested in task 1.\nHost 9 is interested in task 8.\nHost 4 is interested in task 7.\nHost 10 is interested in task 0.\nHost 0 is interested in task 0.\nHost 1 is interested in task 4.\nHost 10 is interested in task 4.\nHost 9 is interested in task 1.\nHost 4 is interested in task 8.\nHost 9 is interested in task 9.\nHost 2 is interested in task 3.\nHost 12 is interested in task 3.\nHost 10 is interested in task 5.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 4 is interested in task 6.\nHost 11 is interested in task 10.\nHost 1 is interested in task 3.\nHost 2 is interested in task 10.\nHost 5 is interested in task 8.\nHost 9 is interested in task 3.\nHost 4 is interested in task 10.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 11 is interested in task 1.\nHost 9 is interested in task 6.\nHost 12 is interested in task 1.\nHost 9 is interested in task 2.\nHost 5 is interested in task 3.\nHost 8 is interested in task 5.\nHost 12 is interested in task 0.\nHost 8 is interested in task 0.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph709", "image": "data/matching/graph_visual/hard/graph709.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 9 is interested in task 4.\nHost 2 is interested in task 5.\nHost 11 is interested in task 1.\nHost 6 is interested in task 6.\nHost 3 is interested in task 2.\nHost 0 is interested in task 8.\nHost 4 is interested in task 0.\nHost 7 is interested in task 2.\nHost 11 is interested in task 2.\nHost 11 is interested in task 10.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 1 is interested in task 8.\nHost 0 is interested in task 9.\nHost 9 is interested in task 11.\nHost 10 is interested in task 1.\nHost 12 is interested in task 5.\nHost 8 is interested in task 3.\nHost 12 is interested in task 6.\nHost 7 is interested in task 4.\nHost 2 is interested in task 4.\nHost 10 is interested in task 9.\nHost 2 is interested in task 6.\nHost 11 is interested in task 8.\nHost 2 is interested in task 2.\nHost 4 is interested in task 9.\nHost 8 is interested in task 1.\nHost 3 is interested in task 8.\nHost 11 is interested in task 9.\nHost 12 is interested in task 11.\nHost 10 is interested in task 3.\nHost 7 is interested in task 8.\nHost 12 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 8.\nHost 9 is interested in task 0.\nHost 7 is interested in task 7.\nHost 12 is interested in task 8.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 6 is interested in task 8.\nHost 11 is interested in task 11.\nHost 8 is interested in task 8.\nHost 2 is interested in task 9.\nHost 12 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 6.\nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 10 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 4.\nHost 7 is interested in task 3.\nHost 0 is interested in task 10.\nHost 0 is interested in task 2.\nHost 3 is interested in task 11.\nHost 3 is interested in task 7.\nHost 12 is interested in task 3.\nHost 9 is interested in task 1.\nHost 5 is interested in task 1.\nHost 12 is interested in task 7.\nHost 10 is interested in task 10.\nHost 2 is interested in task 1.\nHost 12 is interested in task 1.\nHost 4 is interested in task 3.\nHost 1 is interested in task 11.\nHost 9 is interested in task 9.\nHost 2 is interested in task 7.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph940", "image": "data/matching/graph_visual/hard/graph940.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 13.\nHost 4 is interested in task 10.\nHost 0 is interested in task 1.\nHost 8 is interested in task 10.\nHost 11 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 13.\nHost 2 is interested in task 10.\nHost 7 is interested in task 0.\nHost 9 is interested in task 12.\nHost 6 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 6.\nHost 12 is interested in task 11.\nHost 3 is interested in task 8.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 7 is interested in task 13.\nHost 7 is interested in task 9.\nHost 12 is interested in task 4.\nHost 10 is interested in task 4.\nHost 6 is interested in task 11.\nHost 12 is interested in task 9.\nHost 2 is interested in task 8.\nHost 5 is interested in task 12.\nHost 7 is interested in task 1.\nHost 3 is interested in task 6.\nHost 0 is interested in task 9.\nHost 11 is interested in task 8.\nHost 1 is interested in task 0.\nHost 2 is interested in task 13.\nHost 7 is interested in task 12.\nHost 13 is interested in task 3.\nHost 1 is interested in task 9.\nHost 11 is interested in task 6.\nHost 6 is interested in task 8.\nHost 4 is interested in task 8.\nHost 3 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 6 is interested in task 2.\nHost 13 is interested in task 1.\nHost 1 is interested in task 6.\nHost 2 is interested in task 1.\nHost 2 is interested in task 12.\nHost 10 is interested in task 12.\nHost 9 is interested in task 7.\nHost 7 is interested in task 3.\nHost 13 is interested in task 11.\nHost 3 is interested in task 9.\nHost 3 is interested in task 7.\nHost 8 is interested in task 12.\nHost 1 is interested in task 12.\nHost 2 is interested in task 0.\nHost 6 is interested in task 5.\nHost 6 is interested in task 10.\nHost 11 is interested in task 7.\nHost 13 is interested in task 10.\nHost 7 is interested in task 5.\nHost 9 is interested in task 8.\nHost 1 is interested in task 4.\nHost 9 is interested in task 4.\nHost 13 is interested in task 12.\nHost 7 is interested in task 10.\nHost 6 is interested in task 9.\nHost 6 is interested in task 13.\nHost 3 is interested in task 1.\nHost 6 is interested in task 7.\nHost 1 is interested in task 13.\nHost 0 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1117", "image": "data/matching/graph_visual/hard/graph1117.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 12.\nHost 4 is interested in task 7.\nHost 8 is interested in task 10.\nHost 2 is interested in task 13.\nHost 0 is interested in task 4.\nHost 13 is interested in task 3.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 11 is interested in task 0.\nHost 9 is interested in task 2.\nHost 10 is interested in task 2.\nHost 12 is interested in task 7.\nHost 3 is interested in task 2.\nHost 1 is interested in task 5.\nHost 5 is interested in task 13.\nHost 9 is interested in task 12.\nHost 12 is interested in task 2.\nHost 8 is interested in task 9.\nHost 13 is interested in task 1.\nHost 14 is interested in task 6.\nHost 4 is interested in task 5.\nHost 5 is interested in task 3.\nHost 7 is interested in task 5.\nHost 12 is interested in task 6.\nHost 2 is interested in task 4.\nHost 10 is interested in task 5.\nHost 4 is interested in task 4.\nHost 13 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 5.\nHost 8 is interested in task 13.\nHost 5 is interested in task 0.\nHost 12 is interested in task 0.\nHost 6 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 9.\nHost 11 is interested in task 12.\nHost 6 is interested in task 4.\nHost 13 is interested in task 2.\nHost 0 is interested in task 6.\nHost 7 is interested in task 13.\nHost 4 is interested in task 11.\nHost 0 is interested in task 1.\nHost 8 is interested in task 11.\nHost 5 is interested in task 8.\nHost 0 is interested in task 8.\nHost 2 is interested in task 0.\nHost 10 is interested in task 0.\nHost 8 is interested in task 4.\nHost 3 is interested in task 11.\nHost 3 is interested in task 4.\nHost 2 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 11.\nHost 0 is interested in task 5.\nHost 11 is interested in task 9.\nHost 0 is interested in task 2.\nHost 2 is interested in task 8.\nHost 12 is interested in task 9.\nHost 1 is interested in task 0.\nHost 14 is interested in task 2.\nHost 12 is interested in task 12.\nHost 11 is interested in task 5.\nHost 4 is interested in task 3.\nHost 14 is interested in task 13.\nHost 13 is interested in task 8.\nHost 3 is interested in task 10.\nHost 13 is interested in task 13.\nHost 10 is interested in task 7.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 11 is interested in task 1.\nHost 13 is interested in task 7.\nHost 12 is interested in task 3.\nHost 10 is interested in task 3.\nHost 4 is interested in task 1.\nHost 11 is interested in task 7.\nHost 5 is interested in task 9.\nHost 3 is interested in task 13.\nHost 4 is interested in task 9.\nHost 14 is interested in task 7.\nHost 12 is interested in task 4.\nHost 6 is interested in task 3.\nHost 4 is interested in task 13.\nHost 9 is interested in task 13.\nHost 7 is interested in task 4.\nHost 6 is interested in task 12.\nHost 13 is interested in task 4.\nHost 2 is interested in task 5.\nHost 14 is interested in task 1.\nHost 6 is interested in task 7.\nHost 10 is interested in task 10.\nHost 9 is interested in task 1.\nHost 1 is interested in task 10.\nHost 2 is interested in task 1.\nHost 7 is interested in task 8.\nHost 0 is interested in task 13.\nHost 2 is interested in task 3.\nHost 9 is interested in task 0.\nHost 12 is interested in task 5.\nHost 11 is interested in task 8.\nHost 14 is interested in task 8.\nHost 9 is interested in task 7.\nHost 12 is interested in task 10.\nHost 1 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph924", "image": "data/matching/graph_visual/hard/graph924.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 11 is interested in task 4.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 2 is interested in task 10.\nHost 8 is interested in task 10.\nHost 8 is interested in task 7.\nHost 3 is interested in task 7.\nHost 6 is interested in task 2.\nHost 3 is interested in task 10.\nHost 5 is interested in task 12.\nHost 10 is interested in task 5.\nHost 11 is interested in task 6.\nHost 0 is interested in task 3.\nHost 9 is interested in task 4.\nHost 3 is interested in task 5.\nHost 7 is interested in task 11.\nHost 1 is interested in task 4.\nHost 13 is interested in task 10.\nHost 5 is interested in task 6.\nHost 5 is interested in task 0.\nHost 2 is interested in task 7.\nHost 9 is interested in task 8.\nHost 9 is interested in task 12.\nHost 7 is interested in task 12.\nHost 12 is interested in task 2.\nHost 3 is interested in task 8.\nHost 11 is interested in task 10.\nHost 7 is interested in task 2.\nHost 13 is interested in task 9.\nHost 1 is interested in task 7.\nHost 5 is interested in task 8.\nHost 8 is interested in task 12.\nHost 6 is interested in task 5.\nHost 3 is interested in task 3.\nHost 11 is interested in task 5.\nHost 10 is interested in task 4.\nHost 8 is interested in task 2.\nHost 9 is interested in task 6.\nHost 9 is interested in task 9.\nHost 4 is interested in task 2.\nHost 3 is interested in task 4.\nHost 13 is interested in task 4.\nHost 11 is interested in task 11.\nHost 4 is interested in task 1.\nHost 12 is interested in task 0.\nHost 12 is interested in task 1.\nHost 8 is interested in task 8.\nHost 0 is interested in task 1.\nHost 7 is interested in task 7.\nHost 5 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 0.\nHost 9 is interested in task 3.\nHost 10 is interested in task 12.\nHost 11 is interested in task 9.\nHost 11 is interested in task 1.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 13 is interested in task 5.\nHost 4 is interested in task 10.\nHost 7 is interested in task 5.\nHost 2 is interested in task 6.\nHost 4 is interested in task 12.\nHost 1 is interested in task 0.\nHost 6 is interested in task 11.\nHost 2 is interested in task 12.\nHost 3 is interested in task 11.\nHost 10 is interested in task 8.\nHost 4 is interested in task 5.\nHost 5 is interested in task 5.\nHost 4 is interested in task 8.\nHost 9 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph438", "image": "data/matching/graph_visual/hard/graph438.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 8 is interested in task 2.\nHost 11 is interested in task 7.\nHost 6 is interested in task 5.\nHost 8 is interested in task 3.\nHost 0 is interested in task 0.\nHost 11 is interested in task 3.\nHost 1 is interested in task 5.\nHost 10 is interested in task 5.\nHost 9 is interested in task 2.\nHost 7 is interested in task 5.\nHost 3 is interested in task 8.\nHost 5 is interested in task 8.\nHost 9 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 7 is interested in task 1.\nHost 3 is interested in task 7.\nHost 3 is interested in task 1.\nHost 0 is interested in task 5.\nHost 8 is interested in task 8.\nHost 8 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 2.\nHost 10 is interested in task 4.\nHost 9 is interested in task 8.\nHost 11 is interested in task 6.\nHost 4 is interested in task 3.\nHost 3 is interested in task 2.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 6 is interested in task 3.\nHost 6 is interested in task 0.\nHost 11 is interested in task 1.\nHost 0 is interested in task 8.\nHost 4 is interested in task 8.\nHost 4 is interested in task 7.\nHost 8 is interested in task 7.\nHost 4 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 3.\nHost 11 is interested in task 8.\nHost 10 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 7 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 4.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph578", "image": "data/matching/graph_visual/hard/graph578.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 2.\nHost 5 is interested in task 12.\nHost 10 is interested in task 13.\nHost 7 is interested in task 10.\nHost 11 is interested in task 7.\nHost 3 is interested in task 8.\nHost 1 is interested in task 10.\nHost 9 is interested in task 8.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 1 is interested in task 8.\nHost 3 is interested in task 11.\nHost 9 is interested in task 9.\nHost 11 is interested in task 9.\nHost 10 is interested in task 12.\nHost 10 is interested in task 8.\nHost 3 is interested in task 12.\nHost 0 is interested in task 13.\nHost 7 is interested in task 0.\nHost 11 is interested in task 3.\nHost 1 is interested in task 1.\nHost 11 is interested in task 6.\nHost 9 is interested in task 10.\nHost 1 is interested in task 5.\nHost 0 is interested in task 3.\nHost 11 is interested in task 13.\nHost 7 is interested in task 6.\nHost 5 is interested in task 2.\nHost 7 is interested in task 1.\nHost 9 is interested in task 13.\nHost 4 is interested in task 2.\nHost 3 is interested in task 5.\nHost 7 is interested in task 11.\nHost 11 is interested in task 12.\nHost 3 is interested in task 0.\nHost 11 is interested in task 1.\nHost 8 is interested in task 8.\nHost 4 is interested in task 10.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 3 is interested in task 4.\nHost 11 is interested in task 0.\nHost 4 is interested in task 12.\nHost 0 is interested in task 1.\nHost 6 is interested in task 1.\nHost 10 is interested in task 3.\nHost 0 is interested in task 4.\nHost 7 is interested in task 8.\nHost 7 is interested in task 12.\nHost 9 is interested in task 4.\nHost 9 is interested in task 3.\nHost 8 is interested in task 13.\nHost 5 is interested in task 9.\nHost 11 is interested in task 4.\nHost 6 is interested in task 10.\nHost 0 is interested in task 0.\nHost 5 is interested in task 5.\nHost 10 is interested in task 0.\nHost 3 is interested in task 7.\nHost 7 is interested in task 5.\nHost 5 is interested in task 11.\nHost 8 is interested in task 10.\nHost 4 is interested in task 7.\nHost 1 is interested in task 7.\nHost 9 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 6.\nHost 10 is interested in task 5.\nHost 10 is interested in task 4.\nHost 4 is interested in task 3.\nHost 2 is interested in task 11.\nHost 4 is interested in task 8.\nHost 7 is interested in task 2.\nHost 1 is interested in task 2.\nHost 1 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1106", "image": "data/matching/graph_visual/hard/graph1106.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 7.\nHost 3 is interested in task 2.\nHost 8 is interested in task 7.\nHost 2 is interested in task 2.\nHost 3 is interested in task 6.\nHost 0 is interested in task 1.\nHost 14 is interested in task 8.\nHost 5 is interested in task 0.\nHost 6 is interested in task 11.\nHost 8 is interested in task 3.\nHost 13 is interested in task 4.\nHost 9 is interested in task 6.\nHost 14 is interested in task 3.\nHost 1 is interested in task 1.\nHost 2 is interested in task 11.\nHost 9 is interested in task 7.\nHost 3 is interested in task 10.\nHost 4 is interested in task 10.\nHost 13 is interested in task 2.\nHost 7 is interested in task 4.\nHost 7 is interested in task 5.\nHost 2 is interested in task 0.\nHost 6 is interested in task 1.\nHost 13 is interested in task 3.\nHost 1 is interested in task 0.\nHost 8 is interested in task 9.\nHost 12 is interested in task 6.\nHost 0 is interested in task 5.\nHost 7 is interested in task 2.\nHost 12 is interested in task 10.\nHost 0 is interested in task 8.\nHost 13 is interested in task 12.\nHost 13 is interested in task 6.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 5 is interested in task 7.\nHost 11 is interested in task 12.\nHost 13 is interested in task 5.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 8 is interested in task 2.\nHost 9 is interested in task 3.\nHost 2 is interested in task 7.\nHost 6 is interested in task 5.\nHost 2 is interested in task 9.\nHost 12 is interested in task 1.\nHost 2 is interested in task 3.\nHost 13 is interested in task 8.\nHost 12 is interested in task 7.\nHost 8 is interested in task 5.\nHost 8 is interested in task 8.\nHost 8 is interested in task 6.\nHost 14 is interested in task 6.\nHost 2 is interested in task 8.\nHost 7 is interested in task 11.\nHost 14 is interested in task 12.\nHost 5 is interested in task 11.\nHost 2 is interested in task 5.\nHost 8 is interested in task 12.\nHost 12 is interested in task 4.\nHost 10 is interested in task 3.\nHost 9 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1255", "image": "data/matching/graph_visual/hard/graph1255.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 9.\nHost 13 is interested in task 16.\nHost 10 is interested in task 9.\nHost 5 is interested in task 13.\nHost 1 is interested in task 7.\nHost 4 is interested in task 7.\nHost 12 is interested in task 12.\nHost 0 is interested in task 6.\nHost 14 is interested in task 15.\nHost 9 is interested in task 2.\nHost 9 is interested in task 9.\nHost 1 is interested in task 11.\nHost 11 is interested in task 11.\nHost 7 is interested in task 14.\nHost 4 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 10.\nHost 1 is interested in task 13.\nHost 0 is interested in task 13.\nHost 9 is interested in task 15.\nHost 6 is interested in task 3.\nHost 6 is interested in task 11.\nHost 11 is interested in task 17.\nHost 13 is interested in task 9.\nHost 7 is interested in task 8.\nHost 0 is interested in task 17.\nHost 9 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 16.\nHost 5 is interested in task 16.\nHost 4 is interested in task 9.\nHost 10 is interested in task 6.\nHost 9 is interested in task 5.\nHost 2 is interested in task 0.\nHost 9 is interested in task 11.\nHost 1 is interested in task 8.\nHost 11 is interested in task 13.\nHost 13 is interested in task 6.\nHost 4 is interested in task 8.\nHost 9 is interested in task 4.\nHost 8 is interested in task 0.\nHost 11 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 15.\nHost 12 is interested in task 17.\nHost 14 is interested in task 14.\nHost 9 is interested in task 17.\nHost 7 is interested in task 1.\nHost 4 is interested in task 5.\nHost 8 is interested in task 6.\nHost 10 is interested in task 13.\nHost 13 is interested in task 7.\nHost 11 is interested in task 16.\nHost 6 is interested in task 12.\nHost 6 is interested in task 7.\nHost 13 is interested in task 14.\nHost 13 is interested in task 0.\nHost 5 is interested in task 10.\nHost 0 is interested in task 5.\nHost 8 is interested in task 9.\nHost 10 is interested in task 2.\nHost 5 is interested in task 15.\nHost 10 is interested in task 10.\nHost 0 is interested in task 10.\nHost 2 is interested in task 16.\nHost 11 is interested in task 6.\nHost 12 is interested in task 11.\nHost 12 is interested in task 3.\nHost 10 is interested in task 14.\nHost 6 is interested in task 8.\nHost 3 is interested in task 3.\nHost 8 is interested in task 16.\nHost 3 is interested in task 17.\nHost 4 is interested in task 13.\nHost 4 is interested in task 16.\nHost 12 is interested in task 6.\nHost 13 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 12.\nHost 2 is interested in task 10.\nHost 0 is interested in task 7.\nHost 14 is interested in task 2.\nHost 7 is interested in task 0.\nHost 12 is interested in task 1.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 9 is interested in task 12.\nHost 8 is interested in task 12.\nHost 7 is interested in task 16.\nHost 6 is interested in task 0.\nHost 13 is interested in task 17.\nHost 11 is interested in task 0.\nHost 8 is interested in task 4.\nHost 10 is interested in task 3.\nHost 2 is interested in task 17.\nHost 5 is interested in task 3.\nHost 8 is interested in task 15.\nHost 12 is interested in task 14.\nHost 6 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1092", "image": "data/matching/graph_visual/hard/graph1092.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 3.\nHost 12 is interested in task 10.\nHost 13 is interested in task 5.\nHost 8 is interested in task 3.\nHost 3 is interested in task 12.\nHost 7 is interested in task 9.\nHost 8 is interested in task 0.\nHost 13 is interested in task 9.\nHost 14 is interested in task 11.\nHost 5 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 11.\nHost 5 is interested in task 10.\nHost 8 is interested in task 10.\nHost 12 is interested in task 1.\nHost 7 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 5 is interested in task 0.\nHost 13 is interested in task 10.\nHost 8 is interested in task 2.\nHost 1 is interested in task 0.\nHost 8 is interested in task 5.\nHost 0 is interested in task 7.\nHost 2 is interested in task 10.\nHost 9 is interested in task 2.\nHost 4 is interested in task 7.\nHost 7 is interested in task 1.\nHost 11 is interested in task 2.\nHost 13 is interested in task 4.\nHost 7 is interested in task 8.\nHost 14 is interested in task 10.\nHost 4 is interested in task 9.\nHost 3 is interested in task 10.\nHost 12 is interested in task 6.\nHost 4 is interested in task 10.\nHost 12 is interested in task 12.\nHost 8 is interested in task 1.\nHost 4 is interested in task 11.\nHost 12 is interested in task 11.\nHost 5 is interested in task 9.\nHost 11 is interested in task 7.\nHost 0 is interested in task 1.\nHost 11 is interested in task 5.\nHost 10 is interested in task 9.\nHost 2 is interested in task 11.\nHost 13 is interested in task 8.\nHost 1 is interested in task 6.\nHost 10 is interested in task 12.\nHost 7 is interested in task 11.\nHost 3 is interested in task 7.\nHost 12 is interested in task 8.\nHost 12 is interested in task 9.\nHost 11 is interested in task 1.\nHost 5 is interested in task 6.\nHost 8 is interested in task 12.\nHost 5 is interested in task 1.\nHost 8 is interested in task 9.\nHost 11 is interested in task 10.\nHost 1 is interested in task 3.\nHost 12 is interested in task 7.\nHost 8 is interested in task 6.\nHost 12 is interested in task 0.\nHost 3 is interested in task 8.\nHost 9 is interested in task 12.\nHost 9 is interested in task 1.\nHost 11 is interested in task 6.\nHost 6 is interested in task 10.\nHost 3 is interested in task 4.\nHost 5 is interested in task 12.\nHost 6 is interested in task 0.\nHost 4 is interested in task 4.\nHost 14 is interested in task 8.\nHost 3 is interested in task 6.\nHost 14 is interested in task 2.\nHost 5 is interested in task 11.\nHost 11 is interested in task 12.\nHost 3 is interested in task 9.\nHost 2 is interested in task 4.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph209", "image": "data/matching/graph_visual/hard/graph209.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 12.\nHost 3 is interested in task 10.\nHost 1 is interested in task 7.\nHost 5 is interested in task 9.\nHost 1 is interested in task 4.\nHost 9 is interested in task 6.\nHost 2 is interested in task 12.\nHost 7 is interested in task 11.\nHost 7 is interested in task 5.\nHost 1 is interested in task 2.\nHost 9 is interested in task 10.\nHost 6 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 12.\nHost 6 is interested in task 5.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 10.\nHost 1 is interested in task 6.\nHost 0 is interested in task 6.\nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 7 is interested in task 10.\nHost 0 is interested in task 9.\nHost 6 is interested in task 12.\nHost 9 is interested in task 7.\nHost 9 is interested in task 12.\nHost 0 is interested in task 8.\nHost 1 is interested in task 10.\nHost 0 is interested in task 11.\nHost 3 is interested in task 5.\nHost 2 is interested in task 4.\nHost 7 is interested in task 7.\nHost 4 is interested in task 9.\nHost 3 is interested in task 7.\nHost 9 is interested in task 2.\nHost 4 is interested in task 8.\nHost 8 is interested in task 7.\nHost 8 is interested in task 10.\nHost 0 is interested in task 4.\nHost 2 is interested in task 6.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 9 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 8.\nHost 3 is interested in task 1.\nHost 0 is interested in task 7.\nHost 0 is interested in task 0.\nHost 5 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph240", "image": "data/matching/graph_visual/hard/graph240.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 3 is interested in task 1.\nHost 0 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 7.\nHost 1 is interested in task 8.\nHost 7 is interested in task 3.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 8 is interested in task 5.\nHost 9 is interested in task 8.\nHost 5 is interested in task 7.\nHost 8 is interested in task 8.\nHost 10 is interested in task 4.\nHost 10 is interested in task 6.\nHost 8 is interested in task 0.\nHost 2 is interested in task 1.\nHost 10 is interested in task 0.\nHost 10 is interested in task 8.\nHost 6 is interested in task 5.\nHost 4 is interested in task 6.\nHost 7 is interested in task 7.\nHost 5 is interested in task 8.\nHost 1 is interested in task 7.\nHost 10 is interested in task 7.\nHost 3 is interested in task 7.\nHost 1 is interested in task 5.\nHost 8 is interested in task 6.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 7.\nHost 8 is interested in task 3.\nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 0.\nHost 10 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 0.\nHost 10 is interested in task 3.\nHost 1 is interested in task 6.\nHost 9 is interested in task 1.\nHost 4 is interested in task 1.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph612", "image": "data/matching/graph_visual/hard/graph612.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 13.\nHost 10 is interested in task 10.\nHost 1 is interested in task 14.\nHost 1 is interested in task 1.\nHost 6 is interested in task 7.\nHost 9 is interested in task 8.\nHost 3 is interested in task 0.\nHost 8 is interested in task 14.\nHost 9 is interested in task 3.\nHost 2 is interested in task 9.\nHost 2 is interested in task 11.\nHost 8 is interested in task 7.\nHost 1 is interested in task 9.\nHost 2 is interested in task 5.\nHost 9 is interested in task 13.\nHost 10 is interested in task 14.\nHost 3 is interested in task 11.\nHost 5 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 9.\nHost 1 is interested in task 7.\nHost 9 is interested in task 11.\nHost 0 is interested in task 6.\nHost 10 is interested in task 6.\nHost 2 is interested in task 13.\nHost 3 is interested in task 5.\nHost 9 is interested in task 1.\nHost 8 is interested in task 13.\nHost 11 is interested in task 5.\nHost 2 is interested in task 14.\nHost 11 is interested in task 7.\nHost 9 is interested in task 7.\nHost 3 is interested in task 8.\nHost 10 is interested in task 5.\nHost 11 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 11.\nHost 11 is interested in task 3.\nHost 11 is interested in task 0.\nHost 7 is interested in task 10.\nHost 6 is interested in task 13.\nHost 6 is interested in task 9.\nHost 2 is interested in task 4.\nHost 1 is interested in task 4.\nHost 6 is interested in task 1.\nHost 10 is interested in task 9.\nHost 11 is interested in task 8.\nHost 6 is interested in task 12.\nHost 9 is interested in task 10.\nHost 10 is interested in task 1.\nHost 1 is interested in task 8.\nHost 3 is interested in task 12.\nHost 6 is interested in task 2.\nHost 4 is interested in task 14.\nHost 4 is interested in task 7.\nHost 4 is interested in task 6.\nHost 4 is interested in task 9.\nHost 4 is interested in task 2.\nHost 10 is interested in task 8.\nHost 7 is interested in task 4.\nHost 10 is interested in task 7.\nHost 0 is interested in task 3.\nHost 9 is interested in task 12.\nHost 11 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 0.\nHost 9 is interested in task 9.\nHost 4 is interested in task 10.\nHost 10 is interested in task 11.\nHost 11 is interested in task 12.\nHost 5 is interested in task 7.\nHost 5 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1128", "image": "data/matching/graph_visual/hard/graph1128.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 11.\nHost 3 is interested in task 12.\nHost 3 is interested in task 10.\nHost 4 is interested in task 13.\nHost 12 is interested in task 1.\nHost 1 is interested in task 13.\nHost 3 is interested in task 7.\nHost 11 is interested in task 1.\nHost 2 is interested in task 4.\nHost 14 is interested in task 0.\nHost 5 is interested in task 4.\nHost 10 is interested in task 6.\nHost 0 is interested in task 1.\nHost 3 is interested in task 13.\nHost 14 is interested in task 1.\nHost 12 is interested in task 12.\nHost 6 is interested in task 10.\nHost 11 is interested in task 6.\nHost 14 is interested in task 11.\nHost 3 is interested in task 3.\nHost 7 is interested in task 1.\nHost 7 is interested in task 11.\nHost 14 is interested in task 7.\nHost 8 is interested in task 10.\nHost 4 is interested in task 1.\nHost 14 is interested in task 13.\nHost 4 is interested in task 12.\nHost 12 is interested in task 7.\nHost 4 is interested in task 10.\nHost 13 is interested in task 2.\nHost 6 is interested in task 1.\nHost 0 is interested in task 4.\nHost 8 is interested in task 2.\nHost 4 is interested in task 8.\nHost 3 is interested in task 6.\nHost 4 is interested in task 11.\nHost 5 is interested in task 1.\nHost 6 is interested in task 12.\nHost 12 is interested in task 2.\nHost 3 is interested in task 5.\nHost 11 is interested in task 9.\nHost 6 is interested in task 9.\nHost 1 is interested in task 9.\nHost 9 is interested in task 0.\nHost 12 is interested in task 9.\nHost 8 is interested in task 1.\nHost 14 is interested in task 12.\nHost 11 is interested in task 2.\nHost 5 is interested in task 3.\nHost 5 is interested in task 13.\nHost 8 is interested in task 4.\nHost 14 is interested in task 8.\nHost 1 is interested in task 7.\nHost 4 is interested in task 4.\nHost 13 is interested in task 9.\nHost 7 is interested in task 0.\nHost 13 is interested in task 13.\nHost 5 is interested in task 12.\nHost 1 is interested in task 6.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 8 is interested in task 11.\nHost 12 is interested in task 6.\nHost 7 is interested in task 4.\nHost 9 is interested in task 10.\nHost 0 is interested in task 10.\nHost 11 is interested in task 8.\nHost 9 is interested in task 3.\nHost 9 is interested in task 12.\nHost 14 is interested in task 6.\nHost 5 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 9.\nHost 13 is interested in task 3.\nHost 3 is interested in task 4.\nHost 13 is interested in task 5.\nHost 5 is interested in task 2.\nHost 10 is interested in task 5.\nHost 3 is interested in task 9.\nHost 3 is interested in task 11.\nHost 10 is interested in task 13.\nHost 0 is interested in task 7.\nHost 13 is interested in task 11.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph326", "image": "data/matching/graph_visual/hard/graph326.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 6.\nHost 8 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 3.\nHost 4 is interested in task 2.\nHost 1 is interested in task 8.\nHost 1 is interested in task 2.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 7.\nHost 9 is interested in task 8.\nHost 2 is interested in task 4.\nHost 2 is interested in task 2.\nHost 9 is interested in task 5.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 10.\nHost 6 is interested in task 0.\nHost 5 is interested in task 9.\nHost 1 is interested in task 10.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 5 is interested in task 3.\nHost 2 is interested in task 10.\nHost 4 is interested in task 6.\nHost 0 is interested in task 0.\nHost 7 is interested in task 8.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 8 is interested in task 7.\nHost 9 is interested in task 2.\nHost 8 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 9.\nHost 5 is interested in task 8.\nHost 9 is interested in task 4.\nHost 6 is interested in task 4.\nHost 8 is interested in task 2.\nHost 9 is interested in task 6.\nHost 10 is interested in task 7.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1020", "image": "data/matching/graph_visual/hard/graph1020.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 3.\nHost 0 is interested in task 4.\nHost 9 is interested in task 5.\nHost 13 is interested in task 13.\nHost 0 is interested in task 3.\nHost 6 is interested in task 13.\nHost 0 is interested in task 2.\nHost 0 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 10.\nHost 10 is interested in task 0.\nHost 4 is interested in task 2.\nHost 6 is interested in task 11.\nHost 5 is interested in task 2.\nHost 4 is interested in task 13.\nHost 5 is interested in task 15.\nHost 9 is interested in task 6.\nHost 8 is interested in task 1.\nHost 8 is interested in task 13.\nHost 1 is interested in task 3.\nHost 1 is interested in task 13.\nHost 2 is interested in task 12.\nHost 6 is interested in task 6.\nHost 9 is interested in task 1.\nHost 3 is interested in task 10.\nHost 8 is interested in task 3.\nHost 9 is interested in task 10.\nHost 10 is interested in task 14.\nHost 4 is interested in task 1.\nHost 3 is interested in task 7.\nHost 7 is interested in task 15.\nHost 3 is interested in task 2.\nHost 8 is interested in task 9.\nHost 2 is interested in task 5.\nHost 12 is interested in task 11.\nHost 8 is interested in task 8.\nHost 10 is interested in task 1.\nHost 9 is interested in task 14.\nHost 4 is interested in task 7.\nHost 1 is interested in task 4.\nHost 4 is interested in task 10.\nHost 10 is interested in task 13.\nHost 7 is interested in task 2.\nHost 2 is interested in task 6.\nHost 10 is interested in task 15.\nHost 5 is interested in task 11.\nHost 4 is interested in task 4.\nHost 5 is interested in task 0.\nHost 11 is interested in task 1.\nHost 11 is interested in task 11.\nHost 8 is interested in task 5.\nHost 10 is interested in task 12.\nHost 7 is interested in task 13.\nHost 0 is interested in task 13.\nHost 12 is interested in task 8.\nHost 8 is interested in task 0.\nHost 2 is interested in task 0.\nHost 8 is interested in task 2.\nHost 11 is interested in task 13.\nHost 9 is interested in task 7.\nHost 4 is interested in task 3.\nHost 11 is interested in task 2.\nHost 7 is interested in task 8.\nHost 9 is interested in task 9.\nHost 4 is interested in task 9.\nHost 11 is interested in task 12.\nHost 0 is interested in task 15.\nHost 10 is interested in task 3.\nHost 8 is interested in task 7.\nHost 4 is interested in task 11.\nHost 7 is interested in task 9.\nHost 1 is interested in task 10.\nHost 9 is interested in task 0.\nHost 10 is interested in task 6.\nHost 2 is interested in task 15.\nHost 0 is interested in task 8.\nHost 3 is interested in task 9.\nHost 11 is interested in task 0.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 3 is interested in task 14.\nHost 3 is interested in task 3.\nHost 0 is interested in task 7.\nHost 6 is interested in task 14.\nHost 12 is interested in task 14.\nHost 7 is interested in task 14.\nHost 4 is interested in task 0.\nHost 10 is interested in task 10.\nHost 12 is interested in task 10.\nHost 0 is interested in task 11.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph810", "image": "data/matching/graph_visual/hard/graph810.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 3 is interested in task 1.\nHost 0 is interested in task 12.\nHost 0 is interested in task 0.\nHost 2 is interested in task 11.\nHost 5 is interested in task 9.\nHost 2 is interested in task 10.\nHost 9 is interested in task 11.\nHost 5 is interested in task 2.\nHost 7 is interested in task 1.\nHost 1 is interested in task 11.\nHost 5 is interested in task 13.\nHost 3 is interested in task 10.\nHost 6 is interested in task 5.\nHost 5 is interested in task 14.\nHost 9 is interested in task 15.\nHost 9 is interested in task 10.\nHost 12 is interested in task 8.\nHost 4 is interested in task 14.\nHost 7 is interested in task 8.\nHost 3 is interested in task 11.\nHost 7 is interested in task 9.\nHost 11 is interested in task 12.\nHost 9 is interested in task 9.\nHost 6 is interested in task 11.\nHost 7 is interested in task 4.\nHost 6 is interested in task 2.\nHost 9 is interested in task 3.\nHost 6 is interested in task 15.\nHost 0 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 13.\nHost 6 is interested in task 12.\nHost 12 is interested in task 14.\nHost 10 is interested in task 3.\nHost 3 is interested in task 5.\nHost 9 is interested in task 14.\nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 10 is interested in task 12.\nHost 0 is interested in task 5.\nHost 3 is interested in task 15.\nHost 8 is interested in task 9.\nHost 3 is interested in task 4.\nHost 12 is interested in task 1.\nHost 1 is interested in task 9.\nHost 2 is interested in task 9.\nHost 2 is interested in task 6.\nHost 12 is interested in task 5.\nHost 7 is interested in task 12.\nHost 4 is interested in task 10.\nHost 3 is interested in task 2.\nHost 2 is interested in task 15.\nHost 4 is interested in task 8.\nHost 2 is interested in task 7.\nHost 12 is interested in task 11.\nHost 5 is interested in task 6.\nHost 4 is interested in task 11.\nHost 4 is interested in task 2.\nHost 2 is interested in task 8.\nHost 0 is interested in task 13.\nHost 10 is interested in task 6.\nHost 8 is interested in task 5.\nHost 10 is interested in task 8.\nHost 2 is interested in task 1.\nHost 6 is interested in task 7.\nHost 12 is interested in task 2.\nHost 5 is interested in task 5.\nHost 12 is interested in task 10.\nHost 7 is interested in task 10.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 5 is interested in task 10.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1076", "image": "data/matching/graph_visual/hard/graph1076.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 2.\nHost 10 is interested in task 9.\nHost 12 is interested in task 7.\nHost 4 is interested in task 11.\nHost 12 is interested in task 6.\nHost 8 is interested in task 5.\nHost 3 is interested in task 11.\nHost 4 is interested in task 2.\nHost 14 is interested in task 1.\nHost 14 is interested in task 6.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 6.\nHost 3 is interested in task 0.\nHost 10 is interested in task 1.\nHost 6 is interested in task 0.\nHost 8 is interested in task 3.\nHost 10 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 11.\nHost 1 is interested in task 11.\nHost 2 is interested in task 9.\nHost 8 is interested in task 10.\nHost 2 is interested in task 6.\nHost 9 is interested in task 1.\nHost 13 is interested in task 4.\nHost 8 is interested in task 9.\nHost 13 is interested in task 9.\nHost 4 is interested in task 9.\nHost 10 is interested in task 7.\nHost 9 is interested in task 5.\nHost 4 is interested in task 6.\nHost 8 is interested in task 4.\nHost 12 is interested in task 2.\nHost 4 is interested in task 0.\nHost 14 is interested in task 11.\nHost 0 is interested in task 11.\nHost 1 is interested in task 4.\nHost 1 is interested in task 8.\nHost 12 is interested in task 10.\nHost 3 is interested in task 8.\nHost 10 is interested in task 3.\nHost 9 is interested in task 10.\nHost 8 is interested in task 6.\nHost 8 is interested in task 1.\nHost 12 is interested in task 3.\nHost 7 is interested in task 7.\nHost 11 is interested in task 11.\nHost 11 is interested in task 10.\nHost 2 is interested in task 4.\nHost 5 is interested in task 9.\nHost 13 is interested in task 2.\nHost 3 is interested in task 6.\nHost 4 is interested in task 3.\nHost 0 is interested in task 6.\nHost 7 is interested in task 1.\nHost 1 is interested in task 5.\nHost 12 is interested in task 0.\nHost 8 is interested in task 2.\nHost 11 is interested in task 1.\nHost 9 is interested in task 9.\nHost 4 is interested in task 4.\nHost 7 is interested in task 10.\nHost 3 is interested in task 9.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph364", "image": "data/matching/graph_visual/hard/graph364.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 9 is interested in task 7.\nHost 5 is interested in task 0.\nHost 3 is interested in task 11.\nHost 5 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 4.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 2 is interested in task 8.\nHost 1 is interested in task 2.\nHost 6 is interested in task 6.\nHost 0 is interested in task 5.\nHost 6 is interested in task 12.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 1 is interested in task 12.\nHost 8 is interested in task 7.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 10 is interested in task 3.\nHost 10 is interested in task 7.\nHost 6 is interested in task 9.\nHost 4 is interested in task 12.\nHost 10 is interested in task 2.\nHost 5 is interested in task 7.\nHost 9 is interested in task 8.\nHost 8 is interested in task 6.\nHost 3 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 12.\nHost 8 is interested in task 2.\nHost 9 is interested in task 11.\nHost 7 is interested in task 12.\nHost 4 is interested in task 11.\nHost 7 is interested in task 9.\nHost 6 is interested in task 3.\nHost 8 is interested in task 12.\nHost 10 is interested in task 8.\nHost 8 is interested in task 10.\nHost 5 is interested in task 1.\nHost 10 is interested in task 11.\nHost 10 is interested in task 0.\nHost 0 is interested in task 10.\nHost 6 is interested in task 4.\nHost 9 is interested in task 1.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph466", "image": "data/matching/graph_visual/hard/graph466.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 6.\nHost 3 is interested in task 4.\nHost 10 is interested in task 9.\nHost 10 is interested in task 6.\nHost 11 is interested in task 5.\nHost 8 is interested in task 8.\nHost 4 is interested in task 3.\nHost 1 is interested in task 6.\nHost 2 is interested in task 6.\nHost 7 is interested in task 9.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 5 is interested in task 7.\nHost 7 is interested in task 6.\nHost 7 is interested in task 1.\nHost 11 is interested in task 8.\nHost 0 is interested in task 9.\nHost 9 is interested in task 6.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4.\nHost 2 is interested in task 9.\nHost 10 is interested in task 1.\nHost 7 is interested in task 4.\nHost 8 is interested in task 7.\nHost 6 is interested in task 5.\nHost 11 is interested in task 2.\nHost 0 is interested in task 6.\nHost 3 is interested in task 9.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 9 is interested in task 9.\nHost 10 is interested in task 8.\nHost 8 is interested in task 6.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph91", "image": "data/matching/graph_visual/hard/graph91.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 3 is interested in task 2.\nHost 4 is interested in task 9.\nHost 3 is interested in task 0.\nHost 0 is interested in task 8.\nHost 6 is interested in task 0.\nHost 6 is interested in task 7.\nHost 2 is interested in task 3.\nHost 8 is interested in task 8.\nHost 2 is interested in task 8.\nHost 2 is interested in task 1.\nHost 9 is interested in task 4.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 8 is interested in task 7.\nHost 0 is interested in task 9.\nHost 5 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 6 is interested in task 5.\nHost 1 is interested in task 8.\nHost 6 is interested in task 4.\nHost 5 is interested in task 7.\nHost 1 is interested in task 6.\nHost 3 is interested in task 8.\nHost 4 is interested in task 8.\nHost 4 is interested in task 3.\nHost 0 is interested in task 1.\nHost 8 is interested in task 3.\nHost 7 is interested in task 7.\nHost 6 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 9 is interested in task 6.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph479", "image": "data/matching/graph_visual/hard/graph479.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 6.\nHost 6 is interested in task 4.\nHost 1 is interested in task 8.\nHost 0 is interested in task 6.\nHost 6 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 3.\nHost 11 is interested in task 8.\nHost 10 is interested in task 0.\nHost 0 is interested in task 5.\nHost 11 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 0.\nHost 0 is interested in task 7.\nHost 5 is interested in task 4.\nHost 9 is interested in task 9.\nHost 11 is interested in task 3.\nHost 5 is interested in task 8.\nHost 10 is interested in task 2.\nHost 2 is interested in task 7.\nHost 11 is interested in task 7.\nHost 3 is interested in task 1.\nHost 10 is interested in task 6.\nHost 9 is interested in task 4.\nHost 9 is interested in task 8.\nHost 0 is interested in task 8.\nHost 11 is interested in task 2.\nHost 0 is interested in task 9.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 7.\nHost 11 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 9 is interested in task 7.\nHost 10 is interested in task 9.\nHost 10 is interested in task 8.\nHost 6 is interested in task 8.\nHost 9 is interested in task 6.\nHost 9 is interested in task 5.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph63", "image": "data/matching/graph_visual/hard/graph63.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 8 is interested in task 0.\nHost 7 is interested in task 2.\nHost 0 is interested in task 1.\nHost 9 is interested in task 0.\nHost 5 is interested in task 8.\nHost 3 is interested in task 3.\nHost 0 is interested in task 5.\nHost 9 is interested in task 2.\nHost 2 is interested in task 3.\nHost 4 is interested in task 6.\nHost 2 is interested in task 6.\nHost 2 is interested in task 5.\nHost 2 is interested in task 7.\nHost 7 is interested in task 0.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 5 is interested in task 2.\nHost 1 is interested in task 8.\nHost 9 is interested in task 1.\nHost 6 is interested in task 5.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 5 is interested in task 7.\nHost 0 is interested in task 8.\nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 3 is interested in task 8.\nHost 2 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 2.\nHost 8 is interested in task 7.\nHost 3 is interested in task 1.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 0 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 8.\nHost 5 is interested in task 1.\nHost 8 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 2.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph550", "image": "data/matching/graph_visual/hard/graph550.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 11.\nHost 10 is interested in task 8.\nHost 3 is interested in task 12.\nHost 4 is interested in task 9.\nHost 1 is interested in task 9.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 1 is interested in task 6.\nHost 8 is interested in task 6.\nHost 2 is interested in task 7.\nHost 9 is interested in task 6.\nHost 5 is interested in task 10.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 10 is interested in task 7.\nHost 1 is interested in task 8.\nHost 10 is interested in task 6.\nHost 8 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 11.\nHost 4 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 11.\nHost 11 is interested in task 3.\nHost 10 is interested in task 4.\nHost 3 is interested in task 9.\nHost 0 is interested in task 4.\nHost 9 is interested in task 1.\nHost 7 is interested in task 5.\nHost 7 is interested in task 6.\nHost 5 is interested in task 0.\nHost 8 is interested in task 7.\nHost 6 is interested in task 1.\nHost 7 is interested in task 11.\nHost 1 is interested in task 12.\nHost 11 is interested in task 0.\nHost 3 is interested in task 1.\nHost 11 is interested in task 8.\nHost 9 is interested in task 5.\nHost 9 is interested in task 9.\nHost 4 is interested in task 11.\nHost 11 is interested in task 7.\nHost 10 is interested in task 5.\nHost 7 is interested in task 3.\nHost 7 is interested in task 4.\nHost 8 is interested in task 4.\nHost 11 is interested in task 9.\nHost 6 is interested in task 10.\nHost 6 is interested in task 6.\nHost 7 is interested in task 7.\nHost 9 is interested in task 4.\nHost 6 is interested in task 0.\nHost 10 is interested in task 3.\nHost 4 is interested in task 7.\nHost 9 is interested in task 8.\nHost 0 is interested in task 7.\nHost 9 is interested in task 10.\nHost 9 is interested in task 0.\nHost 3 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 12.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph489", "image": "data/matching/graph_visual/hard/graph489.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 7.\nHost 9 is interested in task 0.\nHost 10 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 6.\nHost 8 is interested in task 2.\nHost 11 is interested in task 8.\nHost 3 is interested in task 7.\nHost 2 is interested in task 0.\nHost 4 is interested in task 5.\nHost 5 is interested in task 10.\nHost 2 is interested in task 7.\nHost 4 is interested in task 6.\nHost 11 is interested in task 10.\nHost 4 is interested in task 3.\nHost 1 is interested in task 7.\nHost 4 is interested in task 8.\nHost 7 is interested in task 1.\nHost 1 is interested in task 6.\nHost 10 is interested in task 1.\nHost 11 is interested in task 3.\nHost 1 is interested in task 10.\nHost 11 is interested in task 6.\nHost 6 is interested in task 8.\nHost 0 is interested in task 8.\nHost 10 is interested in task 0.\nHost 7 is interested in task 2.\nHost 9 is interested in task 2.\nHost 1 is interested in task 3.\nHost 1 is interested in task 4.\nHost 9 is interested in task 4.\nHost 2 is interested in task 1.\nHost 1 is interested in task 9.\nHost 4 is interested in task 4.\nHost 7 is interested in task 7.\nHost 10 is interested in task 3.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 2 is interested in task 4.\nHost 7 is interested in task 0.\nHost 8 is interested in task 1.\nHost 4 is interested in task 7.\nHost 0 is interested in task 6.\nHost 10 is interested in task 4.\nHost 9 is interested in task 3.\nHost 3 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph224", "image": "data/matching/graph_visual/hard/graph224.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 7.\nHost 9 is interested in task 5.\nHost 0 is interested in task 6.\nHost 3 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 5.\nHost 10 is interested in task 5.\nHost 10 is interested in task 6.\nHost 10 is interested in task 0.\nHost 2 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 8 is interested in task 4.\nHost 1 is interested in task 2.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 7.\nHost 0 is interested in task 7.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 6.\nHost 8 is interested in task 0.\nHost 3 is interested in task 0.\nHost 6 is interested in task 4.\nHost 7 is interested in task 0.\nHost 7 is interested in task 2.\nHost 7 is interested in task 4.\nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 7 is interested in task 5.\nHost 5 is interested in task 1.\nHost 10 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 0.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph645", "image": "data/matching/graph_visual/hard/graph645.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 5 is interested in task 9.\nHost 5 is interested in task 7.\nHost 7 is interested in task 6.\nHost 7 is interested in task 3.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 2 is interested in task 7.\nHost 11 is interested in task 7.\nHost 3 is interested in task 9.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 10 is interested in task 3.\nHost 0 is interested in task 2.\nHost 5 is interested in task 8.\nHost 4 is interested in task 1.\nHost 9 is interested in task 8.\nHost 11 is interested in task 5.\nHost 1 is interested in task 2.\nHost 10 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 3.\nHost 9 is interested in task 3.\nHost 7 is interested in task 0.\nHost 11 is interested in task 3.\nHost 10 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 8.\nHost 10 is interested in task 6.\nHost 6 is interested in task 5.\nHost 9 is interested in task 1.\nHost 6 is interested in task 8.\nHost 4 is interested in task 6.\nHost 3 is interested in task 2.\nHost 11 is interested in task 2.\nHost 0 is interested in task 3.\nHost 11 is interested in task 0.\nHost 9 is interested in task 0.\nHost 1 is interested in task 6.\nHost 7 is interested in task 1.\nHost 8 is interested in task 1.\nHost 1 is interested in task 4.\nHost 12 is interested in task 7.\nHost 6 is interested in task 9.\nHost 9 is interested in task 2.\nHost 1 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph703", "image": "data/matching/graph_visual/hard/graph703.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 10 is interested in task 5.\nHost 5 is interested in task 7.\nHost 1 is interested in task 8.\nHost 12 is interested in task 6.\nHost 11 is interested in task 8.\nHost 10 is interested in task 8.\nHost 7 is interested in task 7.\nHost 3 is interested in task 1.\nHost 8 is interested in task 9.\nHost 1 is interested in task 4.\nHost 3 is interested in task 9.\nHost 6 is interested in task 11.\nHost 5 is interested in task 5.\nHost 12 is interested in task 8.\nHost 5 is interested in task 10.\nHost 9 is interested in task 0.\nHost 12 is interested in task 3.\nHost 12 is interested in task 10.\nHost 3 is interested in task 11.\nHost 2 is interested in task 4.\nHost 8 is interested in task 11.\nHost 7 is interested in task 9.\nHost 5 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 8.\nHost 10 is interested in task 9.\nHost 6 is interested in task 3.\nHost 1 is interested in task 11.\nHost 3 is interested in task 3.\nHost 2 is interested in task 8.\nHost 0 is interested in task 9.\nHost 0 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 5.\nHost 6 is interested in task 2.\nHost 9 is interested in task 7.\nHost 10 is interested in task 3.\nHost 9 is interested in task 10.\nHost 10 is interested in task 10.\nHost 6 is interested in task 6.\nHost 12 is interested in task 1.\nHost 4 is interested in task 1.\nHost 0 is interested in task 6.\nHost 6 is interested in task 8.\nHost 10 is interested in task 7.\nHost 12 is interested in task 11.\nHost 1 is interested in task 6.\nHost 1 is interested in task 2.\nHost 6 is interested in task 1.\nHost 7 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph725", "image": "data/matching/graph_visual/hard/graph725.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 9.\nHost 3 is interested in task 1.\nHost 5 is interested in task 0.\nHost 3 is interested in task 3.\nHost 6 is interested in task 7.\nHost 6 is interested in task 8.\nHost 10 is interested in task 6.\nHost 12 is interested in task 12.\nHost 0 is interested in task 11.\nHost 8 is interested in task 11.\nHost 1 is interested in task 11.\nHost 7 is interested in task 8.\nHost 4 is interested in task 6.\nHost 12 is interested in task 2.\nHost 1 is interested in task 7.\nHost 11 is interested in task 0.\nHost 12 is interested in task 11.\nHost 1 is interested in task 10.\nHost 0 is interested in task 10.\nHost 3 is interested in task 2.\nHost 4 is interested in task 7.\nHost 9 is interested in task 1.\nHost 12 is interested in task 1.\nHost 5 is interested in task 5.\nHost 2 is interested in task 4.\nHost 7 is interested in task 11.\nHost 2 is interested in task 0.\nHost 11 is interested in task 9.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 11 is interested in task 8.\nHost 11 is interested in task 11.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 9 is interested in task 6.\nHost 5 is interested in task 1.\nHost 1 is interested in task 5.\nHost 9 is interested in task 11.\nHost 12 is interested in task 9.\nHost 3 is interested in task 10.\nHost 1 is interested in task 8.\nHost 11 is interested in task 1.\nHost 6 is interested in task 11.\nHost 2 is interested in task 5.\nHost 4 is interested in task 0.\nHost 4 is interested in task 11.\nHost 1 is interested in task 2.\nHost 12 is interested in task 10.\nHost 12 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 12 is interested in task 6.\nHost 11 is interested in task 12.\nHost 4 is interested in task 8.\nHost 2 is interested in task 7.\nHost 6 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 0 is interested in task 9.\nHost 10 is interested in task 4.\nHost 12 is interested in task 0.\nHost 8 is interested in task 2.\nHost 12 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph804", "image": "data/matching/graph_visual/hard/graph804.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 11.\nHost 9 is interested in task 2.\nHost 6 is interested in task 14.\nHost 7 is interested in task 2.\nHost 7 is interested in task 10.\nHost 0 is interested in task 1.\nHost 5 is interested in task 3.\nHost 11 is interested in task 13.\nHost 8 is interested in task 2.\nHost 9 is interested in task 3.\nHost 11 is interested in task 6.\nHost 1 is interested in task 7.\nHost 5 is interested in task 14.\nHost 2 is interested in task 8.\nHost 11 is interested in task 7.\nHost 12 is interested in task 14.\nHost 12 is interested in task 1.\nHost 1 is interested in task 13.\nHost 7 is interested in task 11.\nHost 10 is interested in task 5.\nHost 9 is interested in task 14.\nHost 5 is interested in task 8.\nHost 5 is interested in task 9.\nHost 4 is interested in task 7.\nHost 12 is interested in task 6.\nHost 3 is interested in task 7.\nHost 10 is interested in task 9.\nHost 6 is interested in task 13.\nHost 4 is interested in task 6.\nHost 6 is interested in task 10.\nHost 7 is interested in task 14.\nHost 8 is interested in task 9.\nHost 6 is interested in task 4.\nHost 4 is interested in task 14.\nHost 12 is interested in task 3.\nHost 0 is interested in task 12.\nHost 3 is interested in task 12.\nHost 9 is interested in task 6.\nHost 8 is interested in task 1.\nHost 3 is interested in task 13.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 8 is interested in task 3.\nHost 11 is interested in task 3.\nHost 12 is interested in task 5.\nHost 9 is interested in task 5.\nHost 2 is interested in task 13.\nHost 7 is interested in task 6.\nHost 2 is interested in task 1.\nHost 12 is interested in task 9.\nHost 12 is interested in task 7.\nHost 12 is interested in task 8.\nHost 10 is interested in task 10.\nHost 1 is interested in task 2.\nHost 1 is interested in task 3.\nHost 9 is interested in task 1.\nHost 9 is interested in task 13.\nHost 7 is interested in task 3.\nHost 11 is interested in task 4.\nHost 9 is interested in task 12.\nHost 8 is interested in task 13.\nHost 5 is interested in task 13.\nHost 10 is interested in task 1.\nHost 10 is interested in task 4.\nHost 10 is interested in task 0.\nHost 5 is interested in task 2.\nHost 5 is interested in task 7.\nHost 0 is interested in task 4.\nHost 12 is interested in task 11.\nHost 12 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 5.\nHost 6 is interested in task 0.\nHost 5 is interested in task 11.\nHost 4 is interested in task 11.\nHost 9 is interested in task 9.\nHost 1 is interested in task 4.\nHost 2 is interested in task 0.\nHost 4 is interested in task 13.\nHost 2 is interested in task 10.\nHost 6 is interested in task 5.\nHost 9 is interested in task 4.\nHost 3 is interested in task 3.\nHost 1 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph894", "image": "data/matching/graph_visual/hard/graph894.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 6.\nHost 8 is interested in task 8.\nHost 10 is interested in task 1.\nHost 2 is interested in task 6.\nHost 11 is interested in task 5.\nHost 4 is interested in task 3.\nHost 1 is interested in task 6.\nHost 13 is interested in task 3.\nHost 11 is interested in task 4.\nHost 13 is interested in task 0.\nHost 0 is interested in task 10.\nHost 11 is interested in task 8.\nHost 1 is interested in task 10.\nHost 0 is interested in task 1.\nHost 9 is interested in task 5.\nHost 8 is interested in task 10.\nHost 4 is interested in task 0.\nHost 9 is interested in task 3.\nHost 1 is interested in task 9.\nHost 3 is interested in task 6.\nHost 4 is interested in task 6.\nHost 3 is interested in task 0.\nHost 2 is interested in task 5.\nHost 2 is interested in task 11.\nHost 4 is interested in task 1.\nHost 4 is interested in task 11.\nHost 0 is interested in task 3.\nHost 3 is interested in task 10.\nHost 0 is interested in task 8.\nHost 7 is interested in task 10.\nHost 12 is interested in task 2.\nHost 8 is interested in task 4.\nHost 2 is interested in task 10.\nHost 12 is interested in task 11.\nHost 10 is interested in task 4.\nHost 1 is interested in task 0.\nHost 8 is interested in task 9.\nHost 7 is interested in task 0.\nHost 11 is interested in task 3.\nHost 13 is interested in task 5.\nHost 11 is interested in task 9.\nHost 8 is interested in task 3.\nHost 0 is interested in task 6.\nHost 2 is interested in task 9.\nHost 10 is interested in task 10.\nHost 2 is interested in task 8.\nHost 4 is interested in task 7.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 12 is interested in task 0.\nHost 4 is interested in task 10.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph90", "image": "data/matching/graph_visual/hard/graph90.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 9.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 4.\nHost 2 is interested in task 8.\nHost 4 is interested in task 7.\nHost 3 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 8 is interested in task 5.\nHost 5 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 8 is interested in task 7.\nHost 5 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 8.\nHost 4 is interested in task 5.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 7 is interested in task 3.\nHost 0 is interested in task 9.\nHost 2 is interested in task 6.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 3 is interested in task 6.\nHost 9 is interested in task 9.\nHost 8 is interested in task 9.\nHost 0 is interested in task 6.\nHost 9 is interested in task 8.\nHost 5 is interested in task 5.\nHost 2 is interested in task 7.\nHost 7 is interested in task 7.\nHost 6 is interested in task 9.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 5 is interested in task 6.\nHost 5 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 4 is interested in task 6.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1029", "image": "data/matching/graph_visual/hard/graph1029.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 6.\nHost 4 is interested in task 12.\nHost 13 is interested in task 11.\nHost 3 is interested in task 4.\nHost 13 is interested in task 8.\nHost 3 is interested in task 16.\nHost 13 is interested in task 3.\nHost 4 is interested in task 1.\nHost 2 is interested in task 10.\nHost 3 is interested in task 14.\nHost 3 is interested in task 0.\nHost 13 is interested in task 12.\nHost 9 is interested in task 14.\nHost 12 is interested in task 4.\nHost 6 is interested in task 3.\nHost 12 is interested in task 11.\nHost 2 is interested in task 13.\nHost 4 is interested in task 4.\nHost 0 is interested in task 14.\nHost 8 is interested in task 10.\nHost 7 is interested in task 8.\nHost 9 is interested in task 10.\nHost 6 is interested in task 16.\nHost 4 is interested in task 14.\nHost 7 is interested in task 9.\nHost 6 is interested in task 15.\nHost 3 is interested in task 10.\nHost 10 is interested in task 13.\nHost 5 is interested in task 16.\nHost 9 is interested in task 15.\nHost 7 is interested in task 12.\nHost 4 is interested in task 8.\nHost 2 is interested in task 8.\nHost 1 is interested in task 12.\nHost 5 is interested in task 8.\nHost 9 is interested in task 13.\nHost 3 is interested in task 3.\nHost 6 is interested in task 13.\nHost 2 is interested in task 1.\nHost 9 is interested in task 3.\nHost 11 is interested in task 6.\nHost 12 is interested in task 15.\nHost 6 is interested in task 8.\nHost 4 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 9.\nHost 1 is interested in task 9.\nHost 5 is interested in task 11.\nHost 6 is interested in task 6.\nHost 6 is interested in task 7.\nHost 11 is interested in task 16.\nHost 9 is interested in task 9.\nHost 7 is interested in task 10.\nHost 13 is interested in task 15.\nHost 6 is interested in task 9.\nHost 10 is interested in task 9.\nHost 13 is interested in task 5.\nHost 10 is interested in task 4.\nHost 9 is interested in task 5.\nHost 5 is interested in task 2.\nHost 7 is interested in task 11.\nHost 0 is interested in task 2.\nHost 11 is interested in task 10.\nHost 3 is interested in task 11.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 6 is interested in task 14.\nHost 9 is interested in task 11.\nHost 9 is interested in task 0.\nHost 12 is interested in task 9.\nHost 8 is interested in task 4.\nHost 2 is interested in task 11.\nHost 12 is interested in task 8.\nHost 0 is interested in task 10.\nHost 9 is interested in task 8.\nHost 7 is interested in task 7.\nHost 3 is interested in task 12.\nHost 12 is interested in task 10.\nHost 13 is interested in task 4.\nHost 10 is interested in task 3.\nHost 3 is interested in task 5.\nHost 12 is interested in task 13.\nHost 1 is interested in task 4.\nHost 10 is interested in task 14.\nHost 1 is interested in task 3.\nHost 1 is interested in task 10.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph663", "image": "data/matching/graph_visual/hard/graph663.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 7.\nHost 12 is interested in task 2.\nHost 8 is interested in task 8.\nHost 6 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 5.\nHost 7 is interested in task 0.\nHost 9 is interested in task 1.\nHost 4 is interested in task 9.\nHost 10 is interested in task 8.\nHost 7 is interested in task 10.\nHost 9 is interested in task 2.\nHost 8 is interested in task 4.\nHost 0 is interested in task 9.\nHost 6 is interested in task 0.\nHost 3 is interested in task 0.\nHost 12 is interested in task 10.\nHost 9 is interested in task 5.\nHost 2 is interested in task 6.\nHost 12 is interested in task 7.\nHost 12 is interested in task 6.\nHost 8 is interested in task 2.\nHost 0 is interested in task 3.\nHost 0 is interested in task 6.\nHost 6 is interested in task 7.\nHost 8 is interested in task 1.\nHost 3 is interested in task 2.\nHost 10 is interested in task 9.\nHost 0 is interested in task 5.\nHost 4 is interested in task 10.\nHost 5 is interested in task 1.\nHost 1 is interested in task 9.\nHost 9 is interested in task 8.\nHost 7 is interested in task 6.\nHost 2 is interested in task 2.\nHost 1 is interested in task 8.\nHost 11 is interested in task 1.\nHost 1 is interested in task 4.\nHost 3 is interested in task 10.\nHost 9 is interested in task 7.\nHost 6 is interested in task 10.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1.\nHost 10 is interested in task 0.\nHost 10 is interested in task 6.\nHost 4 is interested in task 4.\nHost 5 is interested in task 4.\nHost 3 is interested in task 6.\nHost 12 is interested in task 0.\nHost 3 is interested in task 9.\nHost 7 is interested in task 8.\nHost 12 is interested in task 9.\nHost 11 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 8.\nHost 9 is interested in task 10.\nHost 12 is interested in task 8.\nHost 1 is interested in task 0.\nHost 4 is interested in task 6.\nHost 0 is interested in task 7.\nHost 4 is interested in task 2.\nHost 9 is interested in task 6.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph619", "image": "data/matching/graph_visual/hard/graph619.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 0 is interested in task 7.\nHost 9 is interested in task 12.\nHost 9 is interested in task 2.\nHost 6 is interested in task 12.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 9 is interested in task 4.\nHost 8 is interested in task 2.\nHost 0 is interested in task 14.\nHost 9 is interested in task 5.\nHost 8 is interested in task 14.\nHost 1 is interested in task 5.\nHost 4 is interested in task 9.\nHost 4 is interested in task 11.\nHost 7 is interested in task 2.\nHost 3 is interested in task 10.\nHost 6 is interested in task 10.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 8 is interested in task 3.\nHost 9 is interested in task 10.\nHost 3 is interested in task 6.\nHost 6 is interested in task 11.\nHost 5 is interested in task 4.\nHost 8 is interested in task 11.\nHost 3 is interested in task 9.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 8 is interested in task 0.\nHost 10 is interested in task 14.\nHost 3 is interested in task 12.\nHost 4 is interested in task 7.\nHost 11 is interested in task 10.\nHost 1 is interested in task 9.\nHost 2 is interested in task 7.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 9 is interested in task 1.\nHost 9 is interested in task 9.\nHost 5 is interested in task 0.\nHost 0 is interested in task 9.\nHost 2 is interested in task 12.\nHost 3 is interested in task 13.\nHost 0 is interested in task 5.\nHost 7 is interested in task 10.\nHost 5 is interested in task 13.\nHost 10 is interested in task 9.\nHost 3 is interested in task 3.\nHost 7 is interested in task 0.\nHost 4 is interested in task 3.\nHost 7 is interested in task 6.\nHost 10 is interested in task 10.\nHost 4 is interested in task 4.\nHost 2 is interested in task 9.\nHost 8 is interested in task 10.\nHost 4 is interested in task 5.\nHost 5 is interested in task 10.\nHost 4 is interested in task 2.\nHost 3 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 0.\nHost 1 is interested in task 14.\nHost 8 is interested in task 12.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 9 is interested in task 8.\nHost 11 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph128", "image": "data/matching/graph_visual/hard/graph128.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 5 is interested in task 5.\nHost 8 is interested in task 9.\nHost 3 is interested in task 7.\nHost 6 is interested in task 0.\nHost 1 is interested in task 9.\nHost 7 is interested in task 8.\nHost 0 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 9.\nHost 2 is interested in task 3.\nHost 3 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 2.\nHost 9 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 10.\nHost 3 is interested in task 5.\nHost 6 is interested in task 8.\nHost 7 is interested in task 1.\nHost 4 is interested in task 7.\nHost 9 is interested in task 6.\nHost 2 is interested in task 9.\nHost 3 is interested in task 0.\nHost 0 is interested in task 5.\nHost 0 is interested in task 10.\nHost 6 is interested in task 10.\nHost 3 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 9 is interested in task 7.\nHost 0 is interested in task 3.\nHost 4 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph390", "image": "data/matching/graph_visual/hard/graph390.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 5 is interested in task 7.\nHost 0 is interested in task 12.\nHost 9 is interested in task 11.\nHost 1 is interested in task 1.\nHost 7 is interested in task 10.\nHost 9 is interested in task 1.\nHost 2 is interested in task 3.\nHost 1 is interested in task 11.\nHost 0 is interested in task 9.\nHost 6 is interested in task 5.\nHost 6 is interested in task 10.\nHost 5 is interested in task 9.\nHost 2 is interested in task 9.\nHost 7 is interested in task 13.\nHost 1 is interested in task 5.\nHost 9 is interested in task 4.\nHost 9 is interested in task 7.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 6 is interested in task 8.\nHost 9 is interested in task 10.\nHost 10 is interested in task 7.\nHost 9 is interested in task 2.\nHost 4 is interested in task 11.\nHost 10 is interested in task 8.\nHost 8 is interested in task 2.\nHost 0 is interested in task 11.\nHost 9 is interested in task 9.\nHost 2 is interested in task 8.\nHost 8 is interested in task 5.\nHost 5 is interested in task 2.\nHost 8 is interested in task 11.\nHost 0 is interested in task 10.\nHost 7 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 4 is interested in task 8.\nHost 5 is interested in task 12.\nHost 8 is interested in task 13.\nHost 0 is interested in task 13.\nHost 9 is interested in task 13.\nHost 1 is interested in task 4.\nHost 3 is interested in task 10.\nHost 1 is interested in task 12.\nHost 0 is interested in task 3.\nHost 1 is interested in task 9.\nHost 4 is interested in task 12.\nHost 2 is interested in task 13.\nHost 4 is interested in task 1.\nHost 5 is interested in task 1.\nHost 10 is interested in task 11.\nHost 3 is interested in task 8.\nHost 8 is interested in task 7.\nHost 5 is interested in task 8.\nHost 4 is interested in task 5.\nHost 3 is interested in task 11.\nHost 1 is interested in task 6.\nHost 4 is interested in task 13.\nHost 8 is interested in task 10.\nHost 6 is interested in task 6.\nHost 7 is interested in task 12.\nHost 2 is interested in task 11.\nHost 3 is interested in task 2.\nHost 2 is interested in task 6.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph335", "image": "data/matching/graph_visual/hard/graph335.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 2 is interested in task 8.\nHost 0 is interested in task 7.\nHost 9 is interested in task 9.\nHost 6 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 7.\nHost 1 is interested in task 1.\nHost 4 is interested in task 11.\nHost 1 is interested in task 0.\nHost 1 is interested in task 8.\nHost 0 is interested in task 10.\nHost 9 is interested in task 4.\nHost 10 is interested in task 6.\nHost 5 is interested in task 4.\nHost 10 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 8.\nHost 0 is interested in task 1.\nHost 5 is interested in task 5.\nHost 0 is interested in task 9.\nHost 6 is interested in task 8.\nHost 5 is interested in task 10.\nHost 5 is interested in task 0.\nHost 10 is interested in task 11.\nHost 8 is interested in task 4.\nHost 7 is interested in task 2.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 1 is interested in task 2.\nHost 6 is interested in task 3.\nHost 7 is interested in task 6.\nHost 5 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 4.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 3.\nHost 6 is interested in task 4.\nHost 10 is interested in task 1.\nHost 10 is interested in task 2.\nHost 7 is interested in task 11.\nHost 7 is interested in task 3.\nHost 8 is interested in task 1.\nHost 1 is interested in task 7.\nHost 5 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph263", "image": "data/matching/graph_visual/hard/graph263.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 8.\nHost 3 is interested in task 6.\nHost 7 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 8.\nHost 6 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 5.\nHost 8 is interested in task 6.\nHost 9 is interested in task 7.\nHost 9 is interested in task 6.\nHost 6 is interested in task 5.\nHost 9 is interested in task 8.\nHost 2 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 3.\nHost 1 is interested in task 7.\nHost 8 is interested in task 4.\nHost 10 is interested in task 6.\nHost 5 is interested in task 0.\nHost 2 is interested in task 7.\nHost 7 is interested in task 0.\nHost 2 is interested in task 8.\nHost 7 is interested in task 5.\nHost 8 is interested in task 3.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 10 is interested in task 3.\nHost 3 is interested in task 7.\nHost 1 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 4.\nHost 8 is interested in task 1.\nHost 10 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 5 is interested in task 3.\nHost 1 is interested in task 8.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 4.\nHost 10 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph310", "image": "data/matching/graph_visual/hard/graph310.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 0 is interested in task 1.\nHost 9 is interested in task 5.\nHost 6 is interested in task 9.\nHost 4 is interested in task 10.\nHost 6 is interested in task 3.\nHost 5 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 7.\nHost 1 is interested in task 7.\nHost 1 is interested in task 1.\nHost 0 is interested in task 9.\nHost 3 is interested in task 3.\nHost 8 is interested in task 8.\nHost 8 is interested in task 6.\nHost 10 is interested in task 4.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 8 is interested in task 1.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 3 is interested in task 2.\nHost 6 is interested in task 10.\nHost 0 is interested in task 8.\nHost 0 is interested in task 2.\nHost 3 is interested in task 10.\nHost 9 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 8 is interested in task 3.\nHost 8 is interested in task 4.\nHost 9 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph223", "image": "data/matching/graph_visual/hard/graph223.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 7.\nHost 0 is interested in task 1.\nHost 7 is interested in task 2.\nHost 9 is interested in task 4.\nHost 7 is interested in task 1.\nHost 6 is interested in task 7.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 6 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 9 is interested in task 3.\nHost 10 is interested in task 2.\nHost 9 is interested in task 0.\nHost 10 is interested in task 1.\nHost 8 is interested in task 4.\nHost 9 is interested in task 2.\nHost 3 is interested in task 2.\nHost 10 is interested in task 7.\nHost 8 is interested in task 2.\nHost 4 is interested in task 2.\nHost 10 is interested in task 0.\nHost 5 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 7.\nHost 9 is interested in task 5.\nHost 8 is interested in task 7.\nHost 6 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 5.\nHost 3 is interested in task 7.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 7 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph973", "image": "data/matching/graph_visual/hard/graph973.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 6 is interested in task 5.\nHost 1 is interested in task 3.\nHost 4 is interested in task 3.\nHost 6 is interested in task 6.\nHost 7 is interested in task 12.\nHost 13 is interested in task 11.\nHost 6 is interested in task 10.\nHost 8 is interested in task 4.\nHost 9 is interested in task 9.\nHost 7 is interested in task 8.\nHost 1 is interested in task 8.\nHost 5 is interested in task 6.\nHost 9 is interested in task 12.\nHost 5 is interested in task 5.\nHost 3 is interested in task 11.\nHost 2 is interested in task 0.\nHost 7 is interested in task 3.\nHost 13 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 13.\nHost 3 is interested in task 9.\nHost 3 is interested in task 12.\nHost 1 is interested in task 0.\nHost 1 is interested in task 13.\nHost 12 is interested in task 1.\nHost 12 is interested in task 7.\nHost 3 is interested in task 4.\nHost 7 is interested in task 9.\nHost 6 is interested in task 4.\nHost 13 is interested in task 13.\nHost 2 is interested in task 4.\nHost 9 is interested in task 13.\nHost 11 is interested in task 3.\nHost 9 is interested in task 14.\nHost 10 is interested in task 13.\nHost 4 is interested in task 9.\nHost 7 is interested in task 10.\nHost 7 is interested in task 2.\nHost 13 is interested in task 4.\nHost 3 is interested in task 3.\nHost 8 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 6.\nHost 1 is interested in task 11.\nHost 3 is interested in task 14.\nHost 8 is interested in task 3.\nHost 11 is interested in task 8.\nHost 3 is interested in task 13.\nHost 9 is interested in task 11.\nHost 11 is interested in task 4.\nHost 4 is interested in task 11.\nHost 5 is interested in task 4.\nHost 4 is interested in task 2.\nHost 13 is interested in task 5.\nHost 13 is interested in task 7.\nHost 3 is interested in task 6.\nHost 6 is interested in task 8.\nHost 5 is interested in task 1.\nHost 5 is interested in task 14.\nHost 6 is interested in task 9.\nHost 1 is interested in task 14.\nHost 11 is interested in task 0.\nHost 10 is interested in task 10.\nHost 8 is interested in task 8.\nHost 10 is interested in task 3.\nHost 1 is interested in task 12.\nHost 11 is interested in task 10.\nHost 7 is interested in task 7.\nHost 4 is interested in task 8.\nHost 4 is interested in task 0.\nHost 1 is interested in task 5.\nHost 7 is interested in task 6.\nHost 10 is interested in task 0.\nHost 9 is interested in task 3.\nHost 3 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph356", "image": "data/matching/graph_visual/hard/graph356.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 11.\nHost 9 is interested in task 4.\nHost 4 is interested in task 10.\nHost 3 is interested in task 3.\nHost 10 is interested in task 2.\nHost 0 is interested in task 2.\nHost 9 is interested in task 11.\nHost 2 is interested in task 1.\nHost 10 is interested in task 3.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 5 is interested in task 6.\nHost 5 is interested in task 11.\nHost 4 is interested in task 3.\nHost 8 is interested in task 5.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 2 is interested in task 0.\nHost 5 is interested in task 3.\nHost 10 is interested in task 6.\nHost 10 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 3.\nHost 7 is interested in task 7.\nHost 2 is interested in task 4.\nHost 5 is interested in task 9.\nHost 5 is interested in task 10.\nHost 6 is interested in task 11.\nHost 7 is interested in task 3.\nHost 10 is interested in task 0.\nHost 1 is interested in task 2.\nHost 6 is interested in task 1.\nHost 5 is interested in task 7.\nHost 5 is interested in task 0.\nHost 2 is interested in task 7.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 3 is interested in task 6.\nHost 2 is interested in task 5.\nHost 5 is interested in task 1.\nHost 3 is interested in task 2.\nHost 8 is interested in task 1.\nHost 6 is interested in task 3.\nHost 7 is interested in task 11.\nHost 7 is interested in task 6.\nHost 8 is interested in task 11.\nHost 1 is interested in task 3.\nHost 7 is interested in task 1.\nHost 4 is interested in task 5.\nHost 3 is interested in task 9.\nHost 1 is interested in task 10.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1206", "image": "data/matching/graph_visual/hard/graph1206.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 8.\nHost 12 is interested in task 16.\nHost 11 is interested in task 15.\nHost 11 is interested in task 10.\nHost 1 is interested in task 1.\nHost 2 is interested in task 7.\nHost 1 is interested in task 10.\nHost 11 is interested in task 7.\nHost 4 is interested in task 7.\nHost 10 is interested in task 0.\nHost 12 is interested in task 10.\nHost 4 is interested in task 12.\nHost 13 is interested in task 14.\nHost 6 is interested in task 5.\nHost 11 is interested in task 9.\nHost 0 is interested in task 4.\nHost 1 is interested in task 5.\nHost 2 is interested in task 11.\nHost 3 is interested in task 2.\nHost 5 is interested in task 3.\nHost 13 is interested in task 13.\nHost 4 is interested in task 0.\nHost 8 is interested in task 0.\nHost 10 is interested in task 14.\nHost 12 is interested in task 1.\nHost 2 is interested in task 13.\nHost 0 is interested in task 2.\nHost 6 is interested in task 14.\nHost 9 is interested in task 15.\nHost 0 is interested in task 5.\nHost 14 is interested in task 1.\nHost 6 is interested in task 15.\nHost 10 is interested in task 15.\nHost 8 is interested in task 9.\nHost 9 is interested in task 1.\nHost 10 is interested in task 2.\nHost 11 is interested in task 11.\nHost 3 is interested in task 7.\nHost 6 is interested in task 13.\nHost 2 is interested in task 0.\nHost 0 is interested in task 11.\nHost 5 is interested in task 1.\nHost 2 is interested in task 6.\nHost 5 is interested in task 12.\nHost 7 is interested in task 15.\nHost 10 is interested in task 4.\nHost 7 is interested in task 10.\nHost 7 is interested in task 9.\nHost 10 is interested in task 16.\nHost 10 is interested in task 9.\nHost 12 is interested in task 13.\nHost 11 is interested in task 3.\nHost 12 is interested in task 0.\nHost 0 is interested in task 1.\nHost 9 is interested in task 12.\nHost 1 is interested in task 2.\nHost 6 is interested in task 9.\nHost 13 is interested in task 11.\nHost 0 is interested in task 9.\nHost 4 is interested in task 14.\nHost 2 is interested in task 2.\nHost 14 is interested in task 3.\nHost 3 is interested in task 11.\nHost 13 is interested in task 12.\nHost 3 is interested in task 0.\nHost 11 is interested in task 5.\nHost 11 is interested in task 1.\nHost 9 is interested in task 13.\nHost 2 is interested in task 9.\nHost 0 is interested in task 8.\nHost 5 is interested in task 7.\nHost 13 is interested in task 9.\nHost 2 is interested in task 3.\nHost 6 is interested in task 4.\nHost 14 is interested in task 4.\nHost 0 is interested in task 12.\nHost 13 is interested in task 5.\nHost 7 is interested in task 4.\nHost 11 is interested in task 13.\nHost 7 is interested in task 12.\nHost 6 is interested in task 11.\nHost 12 is interested in task 4.\nHost 12 is interested in task 14.\nHost 7 is interested in task 3.\nHost 13 is interested in task 8.\nHost 12 is interested in task 3.\nHost 7 is interested in task 6.\nHost 7 is interested in task 13.\nHost 0 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 15.\nHost 3 is interested in task 14.\nHost 9 is interested in task 9.\nHost 7 is interested in task 11.\nHost 7 is interested in task 0.\nHost 9 is interested in task 8.\nHost 6 is interested in task 1.\nHost 14 is interested in task 10.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph591", "image": "data/matching/graph_visual/hard/graph591.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 3 is interested in task 12.\nHost 4 is interested in task 7.\nHost 9 is interested in task 13.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 6 is interested in task 3.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 8 is interested in task 9.\nHost 10 is interested in task 8.\nHost 5 is interested in task 11.\nHost 5 is interested in task 3.\nHost 8 is interested in task 7.\nHost 9 is interested in task 2.\nHost 10 is interested in task 4.\nHost 7 is interested in task 11.\nHost 3 is interested in task 13.\nHost 0 is interested in task 4.\nHost 3 is interested in task 1.\nHost 8 is interested in task 6.\nHost 1 is interested in task 8.\nHost 2 is interested in task 0.\nHost 8 is interested in task 0.\nHost 10 is interested in task 9.\nHost 10 is interested in task 1.\nHost 2 is interested in task 8.\nHost 5 is interested in task 2.\nHost 1 is interested in task 12.\nHost 10 is interested in task 2.\nHost 7 is interested in task 12.\nHost 7 is interested in task 8.\nHost 2 is interested in task 3.\nHost 10 is interested in task 3.\nHost 2 is interested in task 9.\nHost 11 is interested in task 7.\nHost 5 is interested in task 9.\nHost 6 is interested in task 11.\nHost 3 is interested in task 11.\nHost 8 is interested in task 12.\nHost 4 is interested in task 13.\nHost 7 is interested in task 9.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 2.\nHost 2 is interested in task 6.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 5 is interested in task 12.\nHost 0 is interested in task 1.\nHost 5 is interested in task 8.\nHost 10 is interested in task 11.\nHost 3 is interested in task 7.\nHost 6 is interested in task 13.\nHost 11 is interested in task 8.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph115", "image": "data/matching/graph_visual/hard/graph115.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 3 is interested in task 0.\nHost 4 is interested in task 8.\nHost 8 is interested in task 3.\nHost 3 is interested in task 7.\nHost 7 is interested in task 3.\nHost 0 is interested in task 3.\nHost 4 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 9.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 9.\nHost 1 is interested in task 2.\nHost 8 is interested in task 1.\nHost 8 is interested in task 2.\nHost 6 is interested in task 4.\nHost 3 is interested in task 2.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 9 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 7.\nHost 1 is interested in task 5.\nHost 7 is interested in task 9.\nHost 6 is interested in task 0.\nHost 4 is interested in task 0.\nHost 9 is interested in task 8.\nHost 3 is interested in task 6.\nHost 7 is interested in task 7.\nHost 8 is interested in task 0.\nHost 9 is interested in task 7.\nHost 0 is interested in task 4.\nHost 2 is interested in task 6.\nHost 3 is interested in task 3.\nHost 2 is interested in task 8.\nHost 1 is interested in task 8.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 8 is interested in task 8.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph395", "image": "data/matching/graph_visual/hard/graph395.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 4 is interested in task 10.\nHost 10 is interested in task 7.\nHost 7 is interested in task 13.\nHost 2 is interested in task 3.\nHost 2 is interested in task 9.\nHost 1 is interested in task 7.\nHost 5 is interested in task 9.\nHost 9 is interested in task 7.\nHost 7 is interested in task 9.\nHost 9 is interested in task 11.\nHost 6 is interested in task 13.\nHost 10 is interested in task 1.\nHost 0 is interested in task 5.\nHost 10 is interested in task 2.\nHost 5 is interested in task 3.\nHost 8 is interested in task 8.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 1 is interested in task 5.\nHost 8 is interested in task 3.\nHost 9 is interested in task 12.\nHost 3 is interested in task 10.\nHost 5 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 3.\nHost 6 is interested in task 12.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 0 is interested in task 2.\nHost 7 is interested in task 12.\nHost 5 is interested in task 1.\nHost 7 is interested in task 5.\nHost 5 is interested in task 5.\nHost 1 is interested in task 0.\nHost 9 is interested in task 0.\nHost 5 is interested in task 8.\nHost 3 is interested in task 5.\nHost 9 is interested in task 10.\nHost 8 is interested in task 12.\nHost 5 is interested in task 12.\nHost 2 is interested in task 4.\nHost 7 is interested in task 11.\nHost 1 is interested in task 13.\nHost 10 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 7.\nHost 0 is interested in task 11.\nHost 10 is interested in task 8.\nHost 9 is interested in task 2.\nHost 0 is interested in task 8.\nHost 8 is interested in task 11.\nHost 9 is interested in task 9.\nHost 6 is interested in task 4.\nHost 10 is interested in task 9.\nHost 1 is interested in task 8.\nHost 5 is interested in task 4.\nHost 0 is interested in task 3.\nHost 7 is interested in task 3.\nHost 3 is interested in task 8.\nHost 0 is interested in task 1.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1022", "image": "data/matching/graph_visual/hard/graph1022.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 13.\nHost 8 is interested in task 14.\nHost 0 is interested in task 14.\nHost 9 is interested in task 9.\nHost 8 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 11.\nHost 1 is interested in task 12.\nHost 3 is interested in task 1.\nHost 7 is interested in task 16.\nHost 12 is interested in task 8.\nHost 3 is interested in task 16.\nHost 13 is interested in task 6.\nHost 5 is interested in task 4.\nHost 13 is interested in task 10.\nHost 7 is interested in task 8.\nHost 7 is interested in task 1.\nHost 13 is interested in task 9.\nHost 10 is interested in task 3.\nHost 13 is interested in task 15.\nHost 10 is interested in task 4.\nHost 5 is interested in task 8.\nHost 9 is interested in task 1.\nHost 13 is interested in task 12.\nHost 13 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 14.\nHost 9 is interested in task 13.\nHost 5 is interested in task 1.\nHost 7 is interested in task 3.\nHost 2 is interested in task 1.\nHost 8 is interested in task 4.\nHost 9 is interested in task 0.\nHost 11 is interested in task 2.\nHost 0 is interested in task 12.\nHost 8 is interested in task 16.\nHost 5 is interested in task 2.\nHost 6 is interested in task 9.\nHost 2 is interested in task 16.\nHost 11 is interested in task 10.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 0 is interested in task 6.\nHost 3 is interested in task 2.\nHost 7 is interested in task 14.\nHost 9 is interested in task 5.\nHost 12 is interested in task 1.\nHost 6 is interested in task 0.\nHost 9 is interested in task 3.\nHost 0 is interested in task 11.\nHost 0 is interested in task 7.\nHost 2 is interested in task 11.\nHost 7 is interested in task 5.\nHost 12 is interested in task 15.\nHost 3 is interested in task 12.\nHost 10 is interested in task 10.\nHost 11 is interested in task 14.\nHost 10 is interested in task 8.\nHost 2 is interested in task 8.\nHost 11 is interested in task 8.\nHost 1 is interested in task 14.\nHost 3 is interested in task 11.\nHost 11 is interested in task 11.\nHost 8 is interested in task 9.\nHost 2 is interested in task 9.\nHost 12 is interested in task 12.\nHost 5 is interested in task 10.\nHost 0 is interested in task 10.\nHost 11 is interested in task 15.\nHost 1 is interested in task 11.\nHost 5 is interested in task 6.\nHost 4 is interested in task 4.\nHost 12 is interested in task 14.\nHost 6 is interested in task 6.\nHost 2 is interested in task 4.\nHost 13 is interested in task 1.\nHost 2 is interested in task 13.\nHost 2 is interested in task 5.\nHost 13 is interested in task 7.\nHost 10 is interested in task 13.\nHost 3 is interested in task 4.\nHost 13 is interested in task 14.\nHost 4 is interested in task 6.\nHost 1 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1080", "image": "data/matching/graph_visual/hard/graph1080.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 9.\nHost 4 is interested in task 7.\nHost 10 is interested in task 9.\nHost 11 is interested in task 11.\nHost 2 is interested in task 7.\nHost 1 is interested in task 12.\nHost 13 is interested in task 9.\nHost 0 is interested in task 2.\nHost 11 is interested in task 4.\nHost 6 is interested in task 0.\nHost 11 is interested in task 12.\nHost 6 is interested in task 2.\nHost 14 is interested in task 4.\nHost 2 is interested in task 0.\nHost 10 is interested in task 10.\nHost 11 is interested in task 7.\nHost 11 is interested in task 5.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 8.\nHost 9 is interested in task 7.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 8 is interested in task 1.\nHost 7 is interested in task 3.\nHost 13 is interested in task 2.\nHost 7 is interested in task 5.\nHost 0 is interested in task 4.\nHost 4 is interested in task 4.\nHost 9 is interested in task 11.\nHost 2 is interested in task 2.\nHost 7 is interested in task 8.\nHost 5 is interested in task 1.\nHost 10 is interested in task 2.\nHost 11 is interested in task 9.\nHost 10 is interested in task 11.\nHost 10 is interested in task 0.\nHost 7 is interested in task 12.\nHost 6 is interested in task 3.\nHost 6 is interested in task 5.\nHost 2 is interested in task 8.\nHost 14 is interested in task 11.\nHost 9 is interested in task 10.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 13 is interested in task 6.\nHost 0 is interested in task 5.\nHost 10 is interested in task 4.\nHost 2 is interested in task 10.\nHost 10 is interested in task 8.\nHost 8 is interested in task 11.\nHost 8 is interested in task 0.\nHost 10 is interested in task 12.\nHost 7 is interested in task 6.\nHost 4 is interested in task 6.\nHost 2 is interested in task 12.\nHost 5 is interested in task 11.\nHost 3 is interested in task 8.\nHost 10 is interested in task 6.\nHost 9 is interested in task 1.\nHost 3 is interested in task 11.\nHost 8 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph532", "image": "data/matching/graph_visual/hard/graph532.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 1 is interested in task 6.\nHost 9 is interested in task 3.\nHost 5 is interested in task 2.\nHost 8 is interested in task 6.\nHost 10 is interested in task 1.\nHost 3 is interested in task 3.\nHost 8 is interested in task 0.\nHost 0 is interested in task 0.\nHost 11 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 9.\nHost 4 is interested in task 3.\nHost 11 is interested in task 8.\nHost 10 is interested in task 5.\nHost 6 is interested in task 11.\nHost 6 is interested in task 3.\nHost 4 is interested in task 6.\nHost 9 is interested in task 2.\nHost 2 is interested in task 7.\nHost 9 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 11.\nHost 4 is interested in task 1.\nHost 10 is interested in task 0.\nHost 4 is interested in task 7.\nHost 8 is interested in task 10.\nHost 6 is interested in task 6.\nHost 4 is interested in task 0.\nHost 7 is interested in task 4.\nHost 6 is interested in task 10.\nHost 0 is interested in task 6.\nHost 10 is interested in task 10.\nHost 6 is interested in task 5.\nHost 1 is interested in task 5.\nHost 1 is interested in task 9.\nHost 7 is interested in task 1.\nHost 6 is interested in task 2.\nHost 11 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 8 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 6.\nHost 5 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 10.\nHost 4 is interested in task 10.\nHost 6 is interested in task 9.\nHost 8 is interested in task 7.\nHost 10 is interested in task 7.\nHost 0 is interested in task 10.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph57", "image": "data/matching/graph_visual/hard/graph57.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 9 is interested in task 6.\nHost 4 is interested in task 7.\nHost 7 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 7 is interested in task 0.\nHost 3 is interested in task 3.\nHost 8 is interested in task 0.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 9 is interested in task 0.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 6.\nHost 7 is interested in task 5.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0.\nHost 8 is interested in task 6.\nHost 4 is interested in task 3.\nHost 1 is interested in task 1.\nHost 9 is interested in task 7.\nHost 7 is interested in task 4.\nHost 9 is interested in task 3.\nHost 7 is interested in task 7.\nHost 1 is interested in task 3.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1024", "image": "data/matching/graph_visual/hard/graph1024.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 16.\nHost 6 is interested in task 7.\nHost 0 is interested in task 12.\nHost 6 is interested in task 16.\nHost 11 is interested in task 9.\nHost 10 is interested in task 3.\nHost 6 is interested in task 14.\nHost 0 is interested in task 0.\nHost 6 is interested in task 1.\nHost 13 is interested in task 5.\nHost 8 is interested in task 8.\nHost 10 is interested in task 1.\nHost 13 is interested in task 9.\nHost 2 is interested in task 6.\nHost 9 is interested in task 11.\nHost 12 is interested in task 1.\nHost 10 is interested in task 4.\nHost 11 is interested in task 7.\nHost 1 is interested in task 13.\nHost 7 is interested in task 0.\nHost 9 is interested in task 15.\nHost 9 is interested in task 4.\nHost 9 is interested in task 14.\nHost 5 is interested in task 8.\nHost 4 is interested in task 5.\nHost 6 is interested in task 10.\nHost 12 is interested in task 10.\nHost 8 is interested in task 10.\nHost 9 is interested in task 13.\nHost 8 is interested in task 9.\nHost 4 is interested in task 15.\nHost 12 is interested in task 0.\nHost 11 is interested in task 15.\nHost 1 is interested in task 10.\nHost 4 is interested in task 11.\nHost 11 is interested in task 5.\nHost 5 is interested in task 16.\nHost 0 is interested in task 11.\nHost 8 is interested in task 13.\nHost 3 is interested in task 3.\nHost 0 is interested in task 10.\nHost 10 is interested in task 2.\nHost 12 is interested in task 11.\nHost 10 is interested in task 15.\nHost 4 is interested in task 4.\nHost 2 is interested in task 16.\nHost 1 is interested in task 5.\nHost 5 is interested in task 9.\nHost 2 is interested in task 15.\nHost 7 is interested in task 16.\nHost 4 is interested in task 10.\nHost 4 is interested in task 13.\nHost 10 is interested in task 12.\nHost 10 is interested in task 5.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 16.\nHost 0 is interested in task 9.\nHost 12 is interested in task 13.\nHost 2 is interested in task 3.\nHost 7 is interested in task 12.\nHost 11 is interested in task 16.\nHost 4 is interested in task 12.\nHost 11 is interested in task 4.\nHost 12 is interested in task 5.\nHost 12 is interested in task 8.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 12 is interested in task 9.\nHost 5 is interested in task 14.\nHost 12 is interested in task 7.\nHost 11 is interested in task 1.\nHost 11 is interested in task 11.\nHost 3 is interested in task 14.\nHost 1 is interested in task 11.\nHost 0 is interested in task 6.\nHost 2 is interested in task 12.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 12 is interested in task 12.\nHost 7 is interested in task 8.\nHost 13 is interested in task 8.\nHost 0 is interested in task 16.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 4.\nHost 11 is interested in task 3.\nHost 11 is interested in task 12.\nHost 11 is interested in task 13.\nHost 4 is interested in task 2.\nHost 6 is interested in task 9.\nHost 9 is interested in task 9.\nHost 9 is interested in task 12.\nHost 13 is interested in task 7.\nHost 11 is interested in task 10.\nHost 0 is interested in task 13.\nHost 7 is interested in task 2.\nHost 10 is interested in task 6.\nHost 10 is interested in task 16. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph947", "image": "data/matching/graph_visual/hard/graph947.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 9 is interested in task 10.\nHost 8 is interested in task 13.\nHost 8 is interested in task 4.\nHost 11 is interested in task 3.\nHost 4 is interested in task 11.\nHost 2 is interested in task 12.\nHost 2 is interested in task 10.\nHost 3 is interested in task 7.\nHost 5 is interested in task 2.\nHost 13 is interested in task 4.\nHost 12 is interested in task 10.\nHost 2 is interested in task 5.\nHost 13 is interested in task 12.\nHost 6 is interested in task 13.\nHost 8 is interested in task 6.\nHost 8 is interested in task 0.\nHost 12 is interested in task 5.\nHost 3 is interested in task 2.\nHost 13 is interested in task 2.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 13 is interested in task 0.\nHost 7 is interested in task 2.\nHost 9 is interested in task 2.\nHost 6 is interested in task 1.\nHost 0 is interested in task 1.\nHost 11 is interested in task 12.\nHost 12 is interested in task 2.\nHost 5 is interested in task 12.\nHost 12 is interested in task 11.\nHost 9 is interested in task 7.\nHost 4 is interested in task 7.\nHost 5 is interested in task 10.\nHost 8 is interested in task 1.\nHost 7 is interested in task 13.\nHost 3 is interested in task 13.\nHost 0 is interested in task 5.\nHost 12 is interested in task 4.\nHost 5 is interested in task 13.\nHost 2 is interested in task 0.\nHost 7 is interested in task 9.\nHost 0 is interested in task 7.\nHost 9 is interested in task 6.\nHost 10 is interested in task 5.\nHost 0 is interested in task 13.\nHost 0 is interested in task 6.\nHost 0 is interested in task 8.\nHost 2 is interested in task 7.\nHost 12 is interested in task 12.\nHost 6 is interested in task 4.\nHost 7 is interested in task 1.\nHost 2 is interested in task 11.\nHost 8 is interested in task 8.\nHost 8 is interested in task 5.\nHost 11 is interested in task 6.\nHost 5 is interested in task 4.\nHost 11 is interested in task 7.\nHost 9 is interested in task 9.\nHost 4 is interested in task 2.\nHost 13 is interested in task 10.\nHost 8 is interested in task 12.\nHost 9 is interested in task 11.\nHost 7 is interested in task 11.\nHost 13 is interested in task 13.\nHost 2 is interested in task 4.\nHost 7 is interested in task 3.\nHost 12 is interested in task 6.\nHost 7 is interested in task 8.\nHost 2 is interested in task 13.\nHost 10 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 13.\nHost 8 is interested in task 2.\nHost 7 is interested in task 7.\nHost 3 is interested in task 0.\nHost 9 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph528", "image": "data/matching/graph_visual/hard/graph528.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 1 is interested in task 2.\nHost 3 is interested in task 10.\nHost 8 is interested in task 3.\nHost 8 is interested in task 10.\nHost 1 is interested in task 10.\nHost 4 is interested in task 6.\nHost 11 is interested in task 3.\nHost 7 is interested in task 1.\nHost 5 is interested in task 5.\nHost 3 is interested in task 1.\nHost 2 is interested in task 8.\nHost 10 is interested in task 10.\nHost 11 is interested in task 4.\nHost 0 is interested in task 7.\nHost 11 is interested in task 5.\nHost 0 is interested in task 6.\nHost 5 is interested in task 7.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 9 is interested in task 0.\nHost 2 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 8.\nHost 1 is interested in task 9.\nHost 9 is interested in task 4.\nHost 2 is interested in task 11.\nHost 9 is interested in task 8.\nHost 11 is interested in task 6.\nHost 7 is interested in task 3.\nHost 1 is interested in task 5.\nHost 9 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6.\nHost 11 is interested in task 2.\nHost 4 is interested in task 7.\nHost 11 is interested in task 8.\nHost 8 is interested in task 2.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 5 is interested in task 10.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 0 is interested in task 9.\nHost 0 is interested in task 5.\nHost 0 is interested in task 0.\nHost 8 is interested in task 11.\nHost 5 is interested in task 8.\nHost 7 is interested in task 5.\nHost 6 is interested in task 10.\nHost 11 is interested in task 1.\nHost 11 is interested in task 10.\nHost 9 is interested in task 10.\nHost 5 is interested in task 4.\nHost 9 is interested in task 5.\nHost 9 is interested in task 3.\nHost 3 is interested in task 11.\nHost 8 is interested in task 6.\nHost 3 is interested in task 9.\nHost 11 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1244", "image": "data/matching/graph_visual/hard/graph1244.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 9.\nHost 14 is interested in task 14.\nHost 8 is interested in task 10.\nHost 5 is interested in task 16.\nHost 7 is interested in task 0.\nHost 0 is interested in task 14.\nHost 9 is interested in task 5.\nHost 0 is interested in task 4.\nHost 8 is interested in task 12.\nHost 11 is interested in task 12.\nHost 5 is interested in task 9.\nHost 14 is interested in task 10.\nHost 4 is interested in task 1.\nHost 10 is interested in task 12.\nHost 5 is interested in task 2.\nHost 14 is interested in task 7.\nHost 1 is interested in task 11.\nHost 5 is interested in task 11.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 0 is interested in task 10.\nHost 3 is interested in task 0.\nHost 12 is interested in task 14.\nHost 11 is interested in task 3.\nHost 14 is interested in task 8.\nHost 9 is interested in task 13.\nHost 11 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 13.\nHost 0 is interested in task 12.\nHost 5 is interested in task 8.\nHost 2 is interested in task 12.\nHost 5 is interested in task 1.\nHost 2 is interested in task 8.\nHost 2 is interested in task 3.\nHost 12 is interested in task 13.\nHost 5 is interested in task 12.\nHost 9 is interested in task 8.\nHost 2 is interested in task 1.\nHost 11 is interested in task 16.\nHost 5 is interested in task 7.\nHost 13 is interested in task 8.\nHost 10 is interested in task 3.\nHost 12 is interested in task 1.\nHost 0 is interested in task 11.\nHost 14 is interested in task 13.\nHost 11 is interested in task 5.\nHost 10 is interested in task 14.\nHost 9 is interested in task 9.\nHost 0 is interested in task 0.\nHost 5 is interested in task 5.\nHost 13 is interested in task 12.\nHost 9 is interested in task 14.\nHost 14 is interested in task 0.\nHost 12 is interested in task 15.\nHost 8 is interested in task 4.\nHost 12 is interested in task 8.\nHost 10 is interested in task 9.\nHost 8 is interested in task 3.\nHost 14 is interested in task 5.\nHost 9 is interested in task 16.\nHost 12 is interested in task 17.\nHost 12 is interested in task 0.\nHost 7 is interested in task 7.\nHost 2 is interested in task 0.\nHost 9 is interested in task 12.\nHost 2 is interested in task 7.\nHost 13 is interested in task 5.\nHost 1 is interested in task 17.\nHost 1 is interested in task 7.\nHost 0 is interested in task 7.\nHost 6 is interested in task 15.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 12 is interested in task 6.\nHost 14 is interested in task 12.\nHost 12 is interested in task 16.\nHost 9 is interested in task 11.\nHost 4 is interested in task 12.\nHost 9 is interested in task 10.\nHost 3 is interested in task 7.\nHost 10 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 11 is interested in task 6.\nHost 10 is interested in task 13.\nHost 1 is interested in task 0.\nHost 10 is interested in task 4.\nHost 6 is interested in task 8.\nHost 4 is interested in task 10.\nHost 0 is interested in task 6.\nHost 7 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 13.\nHost 0 is interested in task 17.\nHost 0 is interested in task 2.\nHost 13 is interested in task 17.\nHost 1 is interested in task 8.\nHost 7 is interested in task 3.\nHost 14 is interested in task 16.\nHost 0 is interested in task 1.\nHost 9 is interested in task 2.\nHost 9 is interested in task 3.\nHost 5 is interested in task 14.\nHost 7 is interested in task 14.\nHost 4 is interested in task 7.\nHost 9 is interested in task 4.\nHost 9 is interested in task 1.\nHost 3 is interested in task 13.\nHost 13 is interested in task 10.\nHost 13 is interested in task 11.\nHost 1 is interested in task 14.\nHost 1 is interested in task 9.\nHost 9 is interested in task 15.\nHost 8 is interested in task 14.\nHost 11 is interested in task 7.\nHost 11 is interested in task 9.\nHost 4 is interested in task 14.\nHost 10 is interested in task 15.\nHost 12 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 14 is interested in task 1.\nHost 1 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1168", "image": "data/matching/graph_visual/hard/graph1168.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 9.\nHost 6 is interested in task 0.\nHost 5 is interested in task 12.\nHost 8 is interested in task 4.\nHost 12 is interested in task 12.\nHost 10 is interested in task 11.\nHost 2 is interested in task 5.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 12 is interested in task 8.\nHost 1 is interested in task 6.\nHost 4 is interested in task 8.\nHost 3 is interested in task 0.\nHost 3 is interested in task 13.\nHost 3 is interested in task 4.\nHost 14 is interested in task 8.\nHost 8 is interested in task 7.\nHost 14 is interested in task 4.\nHost 12 is interested in task 13.\nHost 7 is interested in task 6.\nHost 12 is interested in task 0.\nHost 7 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 5.\nHost 7 is interested in task 13.\nHost 13 is interested in task 5.\nHost 3 is interested in task 2.\nHost 1 is interested in task 11.\nHost 2 is interested in task 10.\nHost 2 is interested in task 8.\nHost 8 is interested in task 0.\nHost 11 is interested in task 12.\nHost 4 is interested in task 0.\nHost 8 is interested in task 2.\nHost 2 is interested in task 4.\nHost 6 is interested in task 1.\nHost 3 is interested in task 10.\nHost 13 is interested in task 1.\nHost 7 is interested in task 1.\nHost 1 is interested in task 8.\nHost 1 is interested in task 7.\nHost 5 is interested in task 3.\nHost 13 is interested in task 0.\nHost 4 is interested in task 6.\nHost 7 is interested in task 8.\nHost 6 is interested in task 12.\nHost 4 is interested in task 10.\nHost 1 is interested in task 10.\nHost 12 is interested in task 5.\nHost 11 is interested in task 8.\nHost 5 is interested in task 6.\nHost 9 is interested in task 6.\nHost 6 is interested in task 2.\nHost 3 is interested in task 3.\nHost 10 is interested in task 1.\nHost 6 is interested in task 8.\nHost 4 is interested in task 14.\nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 12 is interested in task 4.\nHost 13 is interested in task 4.\nHost 1 is interested in task 14.\nHost 6 is interested in task 3.\nHost 7 is interested in task 12.\nHost 5 is interested in task 1.\nHost 0 is interested in task 13.\nHost 5 is interested in task 7.\nHost 4 is interested in task 9.\nHost 2 is interested in task 1.\nHost 13 is interested in task 11.\nHost 11 is interested in task 6.\nHost 13 is interested in task 13.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 12 is interested in task 1.\nHost 0 is interested in task 9.\nHost 6 is interested in task 14.\nHost 1 is interested in task 13.\nHost 1 is interested in task 12.\nHost 5 is interested in task 14.\nHost 2 is interested in task 7.\nHost 13 is interested in task 9.\nHost 4 is interested in task 11.\nHost 9 is interested in task 0.\nHost 5 is interested in task 10.\nHost 9 is interested in task 11.\nHost 13 is interested in task 12.\nHost 3 is interested in task 8.\nHost 2 is interested in task 12.\nHost 0 is interested in task 0.\nHost 12 is interested in task 2.\nHost 12 is interested in task 3.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph35", "image": "data/matching/graph_visual/hard/graph35.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 5 is interested in task 0.\nHost 9 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 6 is interested in task 0.\nHost 6 is interested in task 7.\nHost 8 is interested in task 3.\nHost 9 is interested in task 6.\nHost 5 is interested in task 5.\nHost 3 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 8 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 6 is interested in task 5.\nHost 5 is interested in task 7.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 0.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph945", "image": "data/matching/graph_visual/hard/graph945.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 7 is interested in task 4.\nHost 12 is interested in task 8.\nHost 8 is interested in task 6.\nHost 5 is interested in task 8.\nHost 10 is interested in task 11.\nHost 3 is interested in task 11.\nHost 13 is interested in task 4.\nHost 10 is interested in task 9.\nHost 0 is interested in task 3.\nHost 6 is interested in task 12.\nHost 8 is interested in task 7.\nHost 1 is interested in task 12.\nHost 12 is interested in task 6.\nHost 4 is interested in task 11.\nHost 7 is interested in task 9.\nHost 2 is interested in task 12.\nHost 6 is interested in task 6.\nHost 7 is interested in task 0.\nHost 0 is interested in task 0.\nHost 12 is interested in task 9.\nHost 2 is interested in task 4.\nHost 8 is interested in task 5.\nHost 0 is interested in task 13.\nHost 6 is interested in task 8.\nHost 7 is interested in task 5.\nHost 6 is interested in task 7.\nHost 9 is interested in task 3.\nHost 1 is interested in task 5.\nHost 6 is interested in task 1.\nHost 10 is interested in task 7.\nHost 10 is interested in task 8.\nHost 12 is interested in task 7.\nHost 12 is interested in task 4.\nHost 13 is interested in task 0.\nHost 10 is interested in task 0.\nHost 6 is interested in task 11.\nHost 11 is interested in task 3.\nHost 8 is interested in task 4.\nHost 5 is interested in task 6.\nHost 11 is interested in task 4.\nHost 8 is interested in task 11.\nHost 9 is interested in task 9.\nHost 11 is interested in task 6.\nHost 6 is interested in task 2.\nHost 5 is interested in task 10.\nHost 13 is interested in task 7.\nHost 9 is interested in task 12.\nHost 12 is interested in task 13.\nHost 6 is interested in task 4.\nHost 13 is interested in task 10.\nHost 2 is interested in task 9.\nHost 8 is interested in task 13.\nHost 3 is interested in task 6.\nHost 8 is interested in task 9.\nHost 12 is interested in task 5.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 11 is interested in task 11.\nHost 9 is interested in task 0.\nHost 11 is interested in task 5.\nHost 9 is interested in task 11.\nHost 9 is interested in task 7.\nHost 10 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 2.\nHost 4 is interested in task 1.\nHost 7 is interested in task 8.\nHost 5 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph416", "image": "data/matching/graph_visual/hard/graph416.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 10.\nHost 10 is interested in task 3.\nHost 10 is interested in task 11.\nHost 9 is interested in task 11.\nHost 6 is interested in task 8.\nHost 9 is interested in task 4.\nHost 8 is interested in task 0.\nHost 1 is interested in task 8.\nHost 1 is interested in task 2.\nHost 7 is interested in task 13.\nHost 9 is interested in task 12.\nHost 6 is interested in task 11.\nHost 0 is interested in task 9.\nHost 4 is interested in task 13.\nHost 5 is interested in task 10.\nHost 8 is interested in task 6.\nHost 1 is interested in task 7.\nHost 8 is interested in task 4.\nHost 1 is interested in task 11.\nHost 1 is interested in task 1.\nHost 8 is interested in task 3.\nHost 8 is interested in task 9.\nHost 6 is interested in task 12.\nHost 10 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 10.\nHost 4 is interested in task 0.\nHost 4 is interested in task 6.\nHost 5 is interested in task 11.\nHost 5 is interested in task 12.\nHost 3 is interested in task 11.\nHost 1 is interested in task 13.\nHost 8 is interested in task 8.\nHost 10 is interested in task 4.\nHost 4 is interested in task 9.\nHost 6 is interested in task 1.\nHost 0 is interested in task 6.\nHost 2 is interested in task 6.\nHost 10 is interested in task 9.\nHost 0 is interested in task 2.\nHost 1 is interested in task 6.\nHost 9 is interested in task 13.\nHost 4 is interested in task 8.\nHost 2 is interested in task 13.\nHost 6 is interested in task 4.\nHost 0 is interested in task 10.\nHost 9 is interested in task 9.\nHost 9 is interested in task 10.\nHost 6 is interested in task 9.\nHost 7 is interested in task 4.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 13.\nHost 10 is interested in task 13.\nHost 4 is interested in task 2.\nHost 4 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 4.\nHost 7 is interested in task 11.\nHost 2 is interested in task 4.\nHost 7 is interested in task 9.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3.\nHost 1 is interested in task 12.\nHost 4 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 2 is interested in task 7.\nHost 2 is interested in task 9.\nHost 9 is interested in task 8.\nHost 3 is interested in task 13.\nHost 5 is interested in task 13.\nHost 0 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph307", "image": "data/matching/graph_visual/hard/graph307.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 4.\nHost 7 is interested in task 4.\nHost 5 is interested in task 7.\nHost 4 is interested in task 7.\nHost 7 is interested in task 1.\nHost 9 is interested in task 6.\nHost 0 is interested in task 5.\nHost 7 is interested in task 8.\nHost 7 is interested in task 6.\nHost 7 is interested in task 9.\nHost 0 is interested in task 7.\nHost 9 is interested in task 2.\nHost 5 is interested in task 0.\nHost 10 is interested in task 8.\nHost 5 is interested in task 5.\nHost 4 is interested in task 8.\nHost 0 is interested in task 6.\nHost 6 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 9.\nHost 0 is interested in task 4.\nHost 5 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 0.\nHost 3 is interested in task 7.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 10 is interested in task 4.\nHost 9 is interested in task 5.\nHost 2 is interested in task 9.\nHost 9 is interested in task 10.\nHost 7 is interested in task 2.\nHost 4 is interested in task 2.\nHost 9 is interested in task 3.\nHost 10 is interested in task 3.\nHost 0 is interested in task 8.\nHost 0 is interested in task 10.\nHost 6 is interested in task 6.\nHost 7 is interested in task 7.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph547", "image": "data/matching/graph_visual/hard/graph547.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 7 is interested in task 9.\nHost 11 is interested in task 11.\nHost 4 is interested in task 3.\nHost 9 is interested in task 5.\nHost 9 is interested in task 8.\nHost 1 is interested in task 1.\nHost 9 is interested in task 0.\nHost 7 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 6.\nHost 4 is interested in task 12.\nHost 11 is interested in task 9.\nHost 8 is interested in task 12.\nHost 1 is interested in task 10.\nHost 5 is interested in task 5.\nHost 8 is interested in task 10.\nHost 9 is interested in task 7.\nHost 11 is interested in task 6.\nHost 6 is interested in task 8.\nHost 10 is interested in task 1.\nHost 0 is interested in task 1.\nHost 5 is interested in task 3.\nHost 1 is interested in task 6.\nHost 10 is interested in task 3.\nHost 10 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 5.\nHost 7 is interested in task 11.\nHost 3 is interested in task 4.\nHost 3 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 0.\nHost 11 is interested in task 12.\nHost 6 is interested in task 3.\nHost 10 is interested in task 0.\nHost 1 is interested in task 8.\nHost 9 is interested in task 4.\nHost 2 is interested in task 10.\nHost 6 is interested in task 7.\nHost 0 is interested in task 8.\nHost 2 is interested in task 8.\nHost 9 is interested in task 9.\nHost 8 is interested in task 2.\nHost 7 is interested in task 0.\nHost 2 is interested in task 6.\nHost 8 is interested in task 7.\nHost 5 is interested in task 10.\nHost 7 is interested in task 7.\nHost 5 is interested in task 7.\nHost 9 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 12.\nHost 8 is interested in task 8.\nHost 9 is interested in task 12.\nHost 11 is interested in task 2.\nHost 11 is interested in task 4.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph851", "image": "data/matching/graph_visual/hard/graph851.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 6.\nHost 13 is interested in task 9.\nHost 12 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 4 is interested in task 5.\nHost 9 is interested in task 7.\nHost 9 is interested in task 5.\nHost 12 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 9.\nHost 1 is interested in task 6.\nHost 9 is interested in task 4.\nHost 5 is interested in task 10.\nHost 13 is interested in task 3.\nHost 8 is interested in task 1.\nHost 1 is interested in task 9.\nHost 9 is interested in task 3.\nHost 8 is interested in task 0.\nHost 6 is interested in task 1.\nHost 7 is interested in task 8.\nHost 3 is interested in task 3.\nHost 11 is interested in task 2.\nHost 12 is interested in task 6.\nHost 11 is interested in task 8.\nHost 3 is interested in task 5.\nHost 7 is interested in task 10.\nHost 10 is interested in task 1.\nHost 12 is interested in task 9.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 11 is interested in task 6.\nHost 3 is interested in task 10.\nHost 8 is interested in task 5.\nHost 9 is interested in task 9.\nHost 8 is interested in task 3.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 5.\nHost 7 is interested in task 1.\nHost 12 is interested in task 8.\nHost 11 is interested in task 1.\nHost 13 is interested in task 6.\nHost 8 is interested in task 8.\nHost 11 is interested in task 5.\nHost 4 is interested in task 10.\nHost 7 is interested in task 2.\nHost 13 is interested in task 4.\nHost 8 is interested in task 9.\nHost 2 is interested in task 2.\nHost 9 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 6.\nHost 5 is interested in task 9.\nHost 5 is interested in task 2.\nHost 8 is interested in task 10.\nHost 7 is interested in task 4.\nHost 4 is interested in task 3.\nHost 6 is interested in task 10.\nHost 4 is interested in task 7.\nHost 10 is interested in task 9.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1018", "image": "data/matching/graph_visual/hard/graph1018.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 13.\nHost 6 is interested in task 7.\nHost 13 is interested in task 5.\nHost 13 is interested in task 3.\nHost 8 is interested in task 7.\nHost 5 is interested in task 0.\nHost 2 is interested in task 2.\nHost 11 is interested in task 2.\nHost 3 is interested in task 0.\nHost 5 is interested in task 8.\nHost 11 is interested in task 10.\nHost 5 is interested in task 5.\nHost 13 is interested in task 7.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 5 is interested in task 14.\nHost 12 is interested in task 13.\nHost 5 is interested in task 11.\nHost 1 is interested in task 10.\nHost 12 is interested in task 5.\nHost 8 is interested in task 9.\nHost 13 is interested in task 14.\nHost 4 is interested in task 10.\nHost 2 is interested in task 4.\nHost 7 is interested in task 3.\nHost 5 is interested in task 3.\nHost 10 is interested in task 10.\nHost 3 is interested in task 10.\nHost 3 is interested in task 8.\nHost 8 is interested in task 6.\nHost 4 is interested in task 15.\nHost 3 is interested in task 6.\nHost 13 is interested in task 8.\nHost 11 is interested in task 9.\nHost 6 is interested in task 10.\nHost 11 is interested in task 14.\nHost 7 is interested in task 11.\nHost 8 is interested in task 10.\nHost 11 is interested in task 4.\nHost 4 is interested in task 7.\nHost 3 is interested in task 11.\nHost 4 is interested in task 0.\nHost 7 is interested in task 4.\nHost 3 is interested in task 12.\nHost 10 is interested in task 0.\nHost 7 is interested in task 13.\nHost 13 is interested in task 2.\nHost 1 is interested in task 8.\nHost 5 is interested in task 15.\nHost 10 is interested in task 12.\nHost 3 is interested in task 5.\nHost 9 is interested in task 15.\nHost 3 is interested in task 13.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 11 is interested in task 7.\nHost 12 is interested in task 7.\nHost 7 is interested in task 9.\nHost 6 is interested in task 0.\nHost 3 is interested in task 4.\nHost 13 is interested in task 9.\nHost 6 is interested in task 9.\nHost 5 is interested in task 10.\nHost 8 is interested in task 8.\nHost 10 is interested in task 1.\nHost 9 is interested in task 13.\nHost 10 is interested in task 15.\nHost 2 is interested in task 14.\nHost 12 is interested in task 12.\nHost 13 is interested in task 13.\nHost 10 is interested in task 13.\nHost 8 is interested in task 12.\nHost 4 is interested in task 5.\nHost 4 is interested in task 9.\nHost 11 is interested in task 15.\nHost 3 is interested in task 2.\nHost 12 is interested in task 15.\nHost 0 is interested in task 3.\nHost 5 is interested in task 12.\nHost 3 is interested in task 1.\nHost 12 is interested in task 3.\nHost 9 is interested in task 8.\nHost 12 is interested in task 11.\nHost 2 is interested in task 11.\nHost 1 is interested in task 6.\nHost 8 is interested in task 15.\nHost 9 is interested in task 7.\nHost 9 is interested in task 10.\nHost 4 is interested in task 8.\nHost 10 is interested in task 7.\nHost 13 is interested in task 10.\nHost 6 is interested in task 13.\nHost 4 is interested in task 12.\nHost 8 is interested in task 1.\nHost 12 is interested in task 6.\nHost 2 is interested in task 15.\nHost 13 is interested in task 12.\nHost 8 is interested in task 14.\nHost 9 is interested in task 0.\nHost 10 is interested in task 5.\nHost 12 is interested in task 14.\nHost 2 is interested in task 3.\nHost 2 is interested in task 12.\nHost 10 is interested in task 14.\nHost 13 is interested in task 1.\nHost 11 is interested in task 8.\nHost 7 is interested in task 15.\nHost 8 is interested in task 13.\nHost 1 is interested in task 13.\nHost 12 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph652", "image": "data/matching/graph_visual/hard/graph652.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 3 is interested in task 8.\nHost 3 is interested in task 5.\nHost 7 is interested in task 3.\nHost 0 is interested in task 3.\nHost 9 is interested in task 4.\nHost 3 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 2.\nHost 5 is interested in task 0.\nHost 2 is interested in task 9.\nHost 9 is interested in task 1.\nHost 10 is interested in task 4.\nHost 11 is interested in task 1.\nHost 2 is interested in task 1.\nHost 2 is interested in task 8.\nHost 12 is interested in task 4.\nHost 9 is interested in task 0.\nHost 3 is interested in task 9.\nHost 2 is interested in task 6.\nHost 6 is interested in task 6.\nHost 10 is interested in task 9.\nHost 8 is interested in task 1.\nHost 1 is interested in task 9.\nHost 0 is interested in task 6.\nHost 4 is interested in task 9.\nHost 5 is interested in task 8.\nHost 5 is interested in task 9.\nHost 9 is interested in task 7.\nHost 0 is interested in task 5.\nHost 9 is interested in task 2.\nHost 1 is interested in task 8.\nHost 12 is interested in task 6.\nHost 12 is interested in task 5.\nHost 5 is interested in task 3.\nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 5 is interested in task 7.\nHost 5 is interested in task 2.\nHost 1 is interested in task 1.\nHost 8 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 0.\nHost 11 is interested in task 4.\nHost 9 is interested in task 5.\nHost 0 is interested in task 8.\nHost 3 is interested in task 1.\nHost 8 is interested in task 9.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 9 is interested in task 9.\nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph321", "image": "data/matching/graph_visual/hard/graph321.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 8 is interested in task 4.\nHost 2 is interested in task 10.\nHost 1 is interested in task 2.\nHost 2 is interested in task 8.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 6 is interested in task 10.\nHost 2 is interested in task 3.\nHost 7 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 0.\nHost 10 is interested in task 3.\nHost 5 is interested in task 7.\nHost 3 is interested in task 6.\nHost 9 is interested in task 5.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 8 is interested in task 7.\nHost 5 is interested in task 2.\nHost 8 is interested in task 2.\nHost 2 is interested in task 7.\nHost 9 is interested in task 0.\nHost 1 is interested in task 10.\nHost 4 is interested in task 9.\nHost 10 is interested in task 2.\nHost 4 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 10.\nHost 9 is interested in task 6.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 8 is interested in task 10.\nHost 7 is interested in task 8.\nHost 5 is interested in task 9.\nHost 8 is interested in task 3.\nHost 7 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 5.\nHost 8 is interested in task 9.\nHost 10 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 9.\nHost 1 is interested in task 7.\nHost 9 is interested in task 1.\nHost 10 is interested in task 1.\nHost 9 is interested in task 7.\nHost 4 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 9.\nHost 6 is interested in task 8.\nHost 1 is interested in task 5.\nHost 9 is interested in task 9.\nHost 10 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph954", "image": "data/matching/graph_visual/hard/graph954.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 13 is interested in task 9.\nHost 8 is interested in task 6.\nHost 9 is interested in task 9.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 7 is interested in task 5.\nHost 9 is interested in task 5.\nHost 12 is interested in task 4.\nHost 11 is interested in task 10.\nHost 4 is interested in task 8.\nHost 12 is interested in task 7.\nHost 12 is interested in task 9.\nHost 2 is interested in task 13.\nHost 0 is interested in task 8.\nHost 4 is interested in task 4.\nHost 6 is interested in task 11.\nHost 11 is interested in task 13.\nHost 12 is interested in task 3.\nHost 4 is interested in task 10.\nHost 0 is interested in task 4.\nHost 8 is interested in task 5.\nHost 11 is interested in task 6.\nHost 12 is interested in task 11.\nHost 1 is interested in task 10.\nHost 6 is interested in task 9.\nHost 12 is interested in task 2.\nHost 10 is interested in task 11.\nHost 1 is interested in task 2.\nHost 8 is interested in task 3.\nHost 5 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 9.\nHost 3 is interested in task 13.\nHost 3 is interested in task 8.\nHost 10 is interested in task 0.\nHost 0 is interested in task 10.\nHost 13 is interested in task 13.\nHost 4 is interested in task 11.\nHost 10 is interested in task 3.\nHost 7 is interested in task 12.\nHost 6 is interested in task 10.\nHost 6 is interested in task 12.\nHost 5 is interested in task 9.\nHost 12 is interested in task 12.\nHost 9 is interested in task 3.\nHost 12 is interested in task 1.\nHost 9 is interested in task 12.\nHost 4 is interested in task 2.\nHost 9 is interested in task 1.\nHost 0 is interested in task 0.\nHost 8 is interested in task 12.\nHost 5 is interested in task 1.\nHost 13 is interested in task 8.\nHost 10 is interested in task 13.\nHost 11 is interested in task 4.\nHost 7 is interested in task 1.\nHost 2 is interested in task 2.\nHost 1 is interested in task 9.\nHost 12 is interested in task 13.\nHost 11 is interested in task 12.\nHost 12 is interested in task 10.\nHost 1 is interested in task 13.\nHost 13 is interested in task 0.\nHost 7 is interested in task 7.\nHost 2 is interested in task 4.\nHost 4 is interested in task 6.\nHost 6 is interested in task 2.\nHost 9 is interested in task 4.\nHost 13 is interested in task 6.\nHost 0 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph156", "image": "data/matching/graph_visual/hard/graph156.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 5 is interested in task 8.\nHost 1 is interested in task 11.\nHost 6 is interested in task 8.\nHost 9 is interested in task 9.\nHost 4 is interested in task 6.\nHost 8 is interested in task 8.\nHost 1 is interested in task 3.\nHost 8 is interested in task 4.\nHost 8 is interested in task 0.\nHost 3 is interested in task 11.\nHost 6 is interested in task 9.\nHost 6 is interested in task 11.\nHost 8 is interested in task 7.\nHost 3 is interested in task 3.\nHost 2 is interested in task 11.\nHost 3 is interested in task 1.\nHost 8 is interested in task 11.\nHost 4 is interested in task 9.\nHost 4 is interested in task 4.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 5.\nHost 4 is interested in task 1.\nHost 1 is interested in task 10.\nHost 9 is interested in task 5.\nHost 8 is interested in task 10.\nHost 9 is interested in task 3.\nHost 0 is interested in task 6.\nHost 8 is interested in task 9.\nHost 4 is interested in task 10.\nHost 1 is interested in task 1.\nHost 6 is interested in task 3.\nHost 0 is interested in task 9.\nHost 1 is interested in task 4.\nHost 4 is interested in task 11.\nHost 1 is interested in task 0.\nHost 4 is interested in task 0.\nHost 5 is interested in task 4.\nHost 7 is interested in task 3.\nHost 4 is interested in task 7.\nHost 0 is interested in task 2.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1060", "image": "data/matching/graph_visual/hard/graph1060.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 11 is interested in task 1.\nHost 12 is interested in task 5.\nHost 0 is interested in task 8.\nHost 0 is interested in task 0.\nHost 4 is interested in task 1.\nHost 13 is interested in task 8.\nHost 8 is interested in task 0.\nHost 0 is interested in task 1.\nHost 0 is interested in task 5.\nHost 12 is interested in task 7.\nHost 1 is interested in task 10.\nHost 10 is interested in task 11.\nHost 6 is interested in task 2.\nHost 14 is interested in task 6.\nHost 11 is interested in task 2.\nHost 3 is interested in task 11.\nHost 4 is interested in task 10.\nHost 0 is interested in task 2.\nHost 5 is interested in task 8.\nHost 0 is interested in task 6.\nHost 0 is interested in task 11.\nHost 11 is interested in task 11.\nHost 12 is interested in task 10.\nHost 10 is interested in task 7.\nHost 10 is interested in task 8.\nHost 6 is interested in task 0.\nHost 14 is interested in task 3.\nHost 5 is interested in task 4.\nHost 4 is interested in task 0.\nHost 10 is interested in task 9.\nHost 6 is interested in task 11.\nHost 12 is interested in task 0.\nHost 13 is interested in task 4.\nHost 12 is interested in task 8.\nHost 4 is interested in task 6.\nHost 7 is interested in task 5.\nHost 13 is interested in task 6.\nHost 7 is interested in task 4.\nHost 3 is interested in task 9.\nHost 10 is interested in task 6.\nHost 10 is interested in task 0.\nHost 7 is interested in task 9.\nHost 14 is interested in task 7.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4.\nHost 7 is interested in task 0.\nHost 3 is interested in task 10.\nHost 5 is interested in task 10.\nHost 7 is interested in task 1.\nHost 12 is interested in task 4.\nHost 0 is interested in task 10.\nHost 8 is interested in task 11.\nHost 9 is interested in task 1.\nHost 14 is interested in task 8.\nHost 1 is interested in task 7.\nHost 13 is interested in task 0.\nHost 2 is interested in task 2.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 3 is interested in task 8.\nHost 8 is interested in task 4.\nHost 10 is interested in task 1.\nHost 8 is interested in task 7.\nHost 5 is interested in task 6.\nHost 9 is interested in task 7.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph755", "image": "data/matching/graph_visual/hard/graph755.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 11 is interested in task 2.\nHost 8 is interested in task 10.\nHost 7 is interested in task 11.\nHost 8 is interested in task 11.\nHost 0 is interested in task 7.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 11 is interested in task 9.\nHost 11 is interested in task 12.\nHost 2 is interested in task 3.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 6.\nHost 8 is interested in task 0.\nHost 7 is interested in task 1.\nHost 4 is interested in task 10.\nHost 1 is interested in task 8.\nHost 5 is interested in task 11.\nHost 9 is interested in task 3.\nHost 11 is interested in task 6.\nHost 0 is interested in task 12.\nHost 11 is interested in task 7.\nHost 4 is interested in task 0.\nHost 5 is interested in task 1.\nHost 4 is interested in task 11.\nHost 4 is interested in task 6.\nHost 4 is interested in task 7.\nHost 0 is interested in task 10.\nHost 8 is interested in task 9.\nHost 6 is interested in task 3.\nHost 8 is interested in task 3.\nHost 11 is interested in task 0.\nHost 4 is interested in task 5.\nHost 0 is interested in task 1.\nHost 11 is interested in task 13.\nHost 4 is interested in task 4.\nHost 11 is interested in task 8.\nHost 2 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 12 is interested in task 0.\nHost 4 is interested in task 13.\nHost 1 is interested in task 3.\nHost 8 is interested in task 8.\nHost 3 is interested in task 11.\nHost 4 is interested in task 1.\nHost 0 is interested in task 8.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 9 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 8.\nHost 0 is interested in task 11.\nHost 11 is interested in task 11.\nHost 1 is interested in task 1.\nHost 8 is interested in task 6.\nHost 7 is interested in task 4.\nHost 1 is interested in task 12.\nHost 5 is interested in task 7.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph369", "image": "data/matching/graph_visual/hard/graph369.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 4 is interested in task 9.\nHost 6 is interested in task 10.\nHost 6 is interested in task 6.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 6 is interested in task 4.\nHost 8 is interested in task 12.\nHost 4 is interested in task 3.\nHost 7 is interested in task 11.\nHost 9 is interested in task 9.\nHost 2 is interested in task 3.\nHost 4 is interested in task 8.\nHost 0 is interested in task 6.\nHost 4 is interested in task 0.\nHost 10 is interested in task 2.\nHost 0 is interested in task 12.\nHost 9 is interested in task 7.\nHost 8 is interested in task 10.\nHost 10 is interested in task 11.\nHost 10 is interested in task 1.\nHost 2 is interested in task 2.\nHost 9 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 0.\nHost 7 is interested in task 8.\nHost 3 is interested in task 12.\nHost 3 is interested in task 1.\nHost 9 is interested in task 8.\nHost 4 is interested in task 2.\nHost 4 is interested in task 11.\nHost 3 is interested in task 4.\nHost 10 is interested in task 8.\nHost 10 is interested in task 10.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 6 is interested in task 9.\nHost 8 is interested in task 6.\nHost 9 is interested in task 5.\nHost 5 is interested in task 12.\nHost 8 is interested in task 8.\nHost 7 is interested in task 4.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 11.\nHost 4 is interested in task 4.\nHost 10 is interested in task 0.\nHost 0 is interested in task 2.\nHost 9 is interested in task 11.\nHost 2 is interested in task 1.\nHost 4 is interested in task 10.\nHost 1 is interested in task 12.\nHost 8 is interested in task 3.\nHost 7 is interested in task 1.\nHost 2 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph987", "image": "data/matching/graph_visual/hard/graph987.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 13 is interested in task 9.\nHost 6 is interested in task 10.\nHost 2 is interested in task 0.\nHost 1 is interested in task 8.\nHost 7 is interested in task 11.\nHost 5 is interested in task 11.\nHost 3 is interested in task 3.\nHost 13 is interested in task 1.\nHost 4 is interested in task 2.\nHost 12 is interested in task 12.\nHost 13 is interested in task 5.\nHost 0 is interested in task 10.\nHost 10 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 11.\nHost 6 is interested in task 9.\nHost 6 is interested in task 0.\nHost 2 is interested in task 7.\nHost 5 is interested in task 0.\nHost 11 is interested in task 7.\nHost 5 is interested in task 12.\nHost 12 is interested in task 4.\nHost 1 is interested in task 12.\nHost 9 is interested in task 11.\nHost 7 is interested in task 8.\nHost 9 is interested in task 7.\nHost 12 is interested in task 13.\nHost 8 is interested in task 13.\nHost 7 is interested in task 7.\nHost 12 is interested in task 14.\nHost 10 is interested in task 8.\nHost 6 is interested in task 8.\nHost 8 is interested in task 2.\nHost 6 is interested in task 6.\nHost 5 is interested in task 5.\nHost 11 is interested in task 6.\nHost 7 is interested in task 10.\nHost 11 is interested in task 13.\nHost 7 is interested in task 0.\nHost 3 is interested in task 4.\nHost 11 is interested in task 2.\nHost 11 is interested in task 8.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 13 is interested in task 7.\nHost 7 is interested in task 3.\nHost 10 is interested in task 4.\nHost 2 is interested in task 3.\nHost 10 is interested in task 3.\nHost 11 is interested in task 10.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 0 is interested in task 1.\nHost 11 is interested in task 12.\nHost 2 is interested in task 11.\nHost 9 is interested in task 9.\nHost 11 is interested in task 3.\nHost 11 is interested in task 4.\nHost 11 is interested in task 1.\nHost 2 is interested in task 1.\nHost 0 is interested in task 13.\nHost 6 is interested in task 2.\nHost 5 is interested in task 9.\nHost 6 is interested in task 1.\nHost 7 is interested in task 9.\nHost 1 is interested in task 14.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 7 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 4.\nHost 0 is interested in task 6.\nHost 1 is interested in task 13.\nHost 13 is interested in task 14.\nHost 9 is interested in task 3.\nHost 2 is interested in task 6.\nHost 6 is interested in task 14.\nHost 6 is interested in task 5.\nHost 9 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph711", "image": "data/matching/graph_visual/hard/graph711.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 8 is interested in task 8.\nHost 0 is interested in task 9.\nHost 5 is interested in task 10.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 9 is interested in task 4.\nHost 0 is interested in task 10.\nHost 7 is interested in task 6.\nHost 6 is interested in task 10.\nHost 8 is interested in task 5.\nHost 6 is interested in task 9.\nHost 7 is interested in task 10.\nHost 9 is interested in task 11.\nHost 10 is interested in task 2.\nHost 12 is interested in task 10.\nHost 9 is interested in task 1.\nHost 1 is interested in task 2.\nHost 4 is interested in task 3.\nHost 5 is interested in task 0.\nHost 1 is interested in task 5.\nHost 0 is interested in task 1.\nHost 10 is interested in task 7.\nHost 5 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 10.\nHost 12 is interested in task 7.\nHost 11 is interested in task 7.\nHost 6 is interested in task 7.\nHost 9 is interested in task 2.\nHost 4 is interested in task 1.\nHost 10 is interested in task 11.\nHost 9 is interested in task 3.\nHost 4 is interested in task 6.\nHost 11 is interested in task 11.\nHost 12 is interested in task 5.\nHost 3 is interested in task 11.\nHost 7 is interested in task 2.\nHost 0 is interested in task 11.\nHost 11 is interested in task 8.\nHost 5 is interested in task 2.\nHost 3 is interested in task 8.\nHost 6 is interested in task 4.\nHost 2 is interested in task 1.\nHost 12 is interested in task 9.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 10 is interested in task 10.\nHost 9 is interested in task 5.\nHost 0 is interested in task 2.\nHost 3 is interested in task 10.\nHost 6 is interested in task 3.\nHost 1 is interested in task 7.\nHost 4 is interested in task 9.\nHost 0 is interested in task 0.\nHost 12 is interested in task 11.\nHost 6 is interested in task 8.\nHost 9 is interested in task 8.\nHost 3 is interested in task 0.\nHost 10 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 8.\nHost 10 is interested in task 0.\nHost 10 is interested in task 9.\nHost 9 is interested in task 9.\nHost 8 is interested in task 2.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1257", "image": "data/matching/graph_visual/hard/graph1257.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 10.\nHost 14 is interested in task 6.\nHost 14 is interested in task 9.\nHost 4 is interested in task 1.\nHost 6 is interested in task 0.\nHost 13 is interested in task 14.\nHost 8 is interested in task 10.\nHost 12 is interested in task 11.\nHost 10 is interested in task 11.\nHost 7 is interested in task 9.\nHost 7 is interested in task 12.\nHost 12 is interested in task 10.\nHost 2 is interested in task 3.\nHost 9 is interested in task 3.\nHost 12 is interested in task 6.\nHost 9 is interested in task 15.\nHost 2 is interested in task 9.\nHost 10 is interested in task 3.\nHost 14 is interested in task 11.\nHost 5 is interested in task 12.\nHost 11 is interested in task 5.\nHost 13 is interested in task 17.\nHost 14 is interested in task 4.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 5 is interested in task 5.\nHost 14 is interested in task 15.\nHost 7 is interested in task 15.\nHost 7 is interested in task 4.\nHost 12 is interested in task 1.\nHost 2 is interested in task 16.\nHost 13 is interested in task 9.\nHost 3 is interested in task 14.\nHost 14 is interested in task 14.\nHost 11 is interested in task 3.\nHost 14 is interested in task 17.\nHost 10 is interested in task 16.\nHost 11 is interested in task 16.\nHost 14 is interested in task 1.\nHost 9 is interested in task 9.\nHost 6 is interested in task 12.\nHost 2 is interested in task 0.\nHost 6 is interested in task 6.\nHost 0 is interested in task 2.\nHost 10 is interested in task 8.\nHost 14 is interested in task 2.\nHost 11 is interested in task 12.\nHost 12 is interested in task 17.\nHost 14 is interested in task 7.\nHost 6 is interested in task 8.\nHost 9 is interested in task 16.\nHost 6 is interested in task 15.\nHost 9 is interested in task 11.\nHost 8 is interested in task 6.\nHost 10 is interested in task 2.\nHost 14 is interested in task 5.\nHost 2 is interested in task 12.\nHost 8 is interested in task 13.\nHost 0 is interested in task 17.\nHost 12 is interested in task 13.\nHost 3 is interested in task 11.\nHost 14 is interested in task 13.\nHost 12 is interested in task 4.\nHost 8 is interested in task 1.\nHost 1 is interested in task 4.\nHost 13 is interested in task 2.\nHost 6 is interested in task 10.\nHost 6 is interested in task 3.\nHost 14 is interested in task 12.\nHost 0 is interested in task 11.\nHost 9 is interested in task 2.\nHost 0 is interested in task 4.\nHost 8 is interested in task 14.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 10 is interested in task 17.\nHost 13 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 12.\nHost 1 is interested in task 0.\nHost 6 is interested in task 17.\nHost 12 is interested in task 2.\nHost 5 is interested in task 0.\nHost 12 is interested in task 15.\nHost 2 is interested in task 13.\nHost 5 is interested in task 16.\nHost 0 is interested in task 13.\nHost 2 is interested in task 1.\nHost 2 is interested in task 17.\nHost 0 is interested in task 15.\nHost 13 is interested in task 11.\nHost 4 is interested in task 4.\nHost 3 is interested in task 15.\nHost 3 is interested in task 17.\nHost 8 is interested in task 12.\nHost 11 is interested in task 14.\nHost 2 is interested in task 11.\nHost 11 is interested in task 0.\nHost 2 is interested in task 15.\nHost 5 is interested in task 8.\nHost 11 is interested in task 15.\nHost 8 is interested in task 2.\nHost 10 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1021", "image": "data/matching/graph_visual/hard/graph1021.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 12.\nHost 4 is interested in task 3.\nHost 5 is interested in task 15.\nHost 1 is interested in task 13.\nHost 11 is interested in task 15.\nHost 2 is interested in task 8.\nHost 3 is interested in task 2.\nHost 5 is interested in task 11.\nHost 2 is interested in task 15.\nHost 10 is interested in task 4.\nHost 3 is interested in task 14.\nHost 8 is interested in task 4.\nHost 9 is interested in task 1.\nHost 12 is interested in task 11.\nHost 4 is interested in task 9.\nHost 7 is interested in task 9.\nHost 6 is interested in task 3.\nHost 1 is interested in task 14.\nHost 8 is interested in task 11.\nHost 0 is interested in task 8.\nHost 9 is interested in task 10.\nHost 7 is interested in task 11.\nHost 13 is interested in task 1.\nHost 10 is interested in task 9.\nHost 1 is interested in task 10.\nHost 2 is interested in task 12.\nHost 12 is interested in task 8.\nHost 11 is interested in task 7.\nHost 13 is interested in task 14.\nHost 11 is interested in task 4.\nHost 0 is interested in task 10.\nHost 12 is interested in task 0.\nHost 4 is interested in task 8.\nHost 12 is interested in task 16.\nHost 4 is interested in task 12.\nHost 10 is interested in task 10.\nHost 4 is interested in task 6.\nHost 6 is interested in task 14.\nHost 3 is interested in task 1.\nHost 8 is interested in task 6.\nHost 7 is interested in task 6.\nHost 13 is interested in task 6.\nHost 11 is interested in task 2.\nHost 5 is interested in task 6.\nHost 1 is interested in task 4.\nHost 10 is interested in task 11.\nHost 3 is interested in task 13.\nHost 0 is interested in task 0.\nHost 1 is interested in task 7.\nHost 11 is interested in task 9.\nHost 9 is interested in task 12.\nHost 10 is interested in task 15.\nHost 3 is interested in task 12.\nHost 13 is interested in task 0.\nHost 13 is interested in task 10.\nHost 5 is interested in task 0.\nHost 4 is interested in task 15.\nHost 12 is interested in task 13.\nHost 0 is interested in task 12.\nHost 5 is interested in task 16.\nHost 11 is interested in task 13.\nHost 13 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 13.\nHost 0 is interested in task 4.\nHost 13 is interested in task 4.\nHost 7 is interested in task 3.\nHost 9 is interested in task 3.\nHost 3 is interested in task 10.\nHost 10 is interested in task 2.\nHost 11 is interested in task 6.\nHost 11 is interested in task 10.\nHost 0 is interested in task 13.\nHost 8 is interested in task 14.\nHost 8 is interested in task 16.\nHost 2 is interested in task 1.\nHost 10 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 16.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 10.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 12 is interested in task 4.\nHost 12 is interested in task 7.\nHost 3 is interested in task 9.\nHost 0 is interested in task 16.\nHost 6 is interested in task 0.\nHost 9 is interested in task 8.\nHost 3 is interested in task 7.\nHost 7 is interested in task 0.\nHost 1 is interested in task 16.\nHost 7 is interested in task 7.\nHost 3 is interested in task 6.\nHost 4 is interested in task 11.\nHost 0 is interested in task 14.\nHost 1 is interested in task 9.\nHost 10 is interested in task 12.\nHost 11 is interested in task 14.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1088", "image": "data/matching/graph_visual/hard/graph1088.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 12 is interested in task 6.\nHost 1 is interested in task 4.\nHost 10 is interested in task 9.\nHost 14 is interested in task 12.\nHost 7 is interested in task 8.\nHost 4 is interested in task 9.\nHost 14 is interested in task 9.\nHost 12 is interested in task 7.\nHost 11 is interested in task 8.\nHost 11 is interested in task 9.\nHost 7 is interested in task 11.\nHost 9 is interested in task 1.\nHost 1 is interested in task 6.\nHost 11 is interested in task 12.\nHost 0 is interested in task 10.\nHost 13 is interested in task 4.\nHost 0 is interested in task 11.\nHost 13 is interested in task 9.\nHost 0 is interested in task 3.\nHost 11 is interested in task 2.\nHost 10 is interested in task 5.\nHost 8 is interested in task 12.\nHost 4 is interested in task 11.\nHost 2 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 0.\nHost 13 is interested in task 10.\nHost 1 is interested in task 12.\nHost 2 is interested in task 11.\nHost 13 is interested in task 11.\nHost 4 is interested in task 4.\nHost 10 is interested in task 11.\nHost 0 is interested in task 6.\nHost 13 is interested in task 2.\nHost 2 is interested in task 4.\nHost 9 is interested in task 2.\nHost 5 is interested in task 12.\nHost 6 is interested in task 3.\nHost 12 is interested in task 8.\nHost 14 is interested in task 2.\nHost 12 is interested in task 10.\nHost 7 is interested in task 1.\nHost 10 is interested in task 3.\nHost 8 is interested in task 1.\nHost 2 is interested in task 8.\nHost 13 is interested in task 3.\nHost 12 is interested in task 0.\nHost 12 is interested in task 1.\nHost 9 is interested in task 6.\nHost 5 is interested in task 0.\nHost 4 is interested in task 5.\nHost 6 is interested in task 5.\nHost 14 is interested in task 5.\nHost 0 is interested in task 1.\nHost 8 is interested in task 6.\nHost 12 is interested in task 4.\nHost 13 is interested in task 7.\nHost 9 is interested in task 12.\nHost 4 is interested in task 0.\nHost 11 is interested in task 10.\nHost 10 is interested in task 10.\nHost 4 is interested in task 7.\nHost 6 is interested in task 8.\nHost 0 is interested in task 9.\nHost 12 is interested in task 11.\nHost 12 is interested in task 2.\nHost 11 is interested in task 11.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 9 is interested in task 9.\nHost 13 is interested in task 12.\nHost 8 is interested in task 9.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph254", "image": "data/matching/graph_visual/hard/graph254.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 6.\nHost 9 is interested in task 1.\nHost 1 is interested in task 0.\nHost 9 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 1.\nHost 2 is interested in task 0.\nHost 7 is interested in task 7.\nHost 1 is interested in task 8.\nHost 5 is interested in task 0.\nHost 6 is interested in task 7.\nHost 5 is interested in task 7.\nHost 7 is interested in task 5.\nHost 5 is interested in task 8.\nHost 3 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 8.\nHost 5 is interested in task 2.\nHost 3 is interested in task 8.\nHost 8 is interested in task 6.\nHost 4 is interested in task 2.\nHost 8 is interested in task 7.\nHost 4 is interested in task 8.\nHost 0 is interested in task 3.\nHost 2 is interested in task 6.\nHost 2 is interested in task 3.\nHost 8 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 4.\nHost 9 is interested in task 6.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 7 is interested in task 2.\nHost 6 is interested in task 5.\nHost 0 is interested in task 7.\nHost 3 is interested in task 5.\nHost 2 is interested in task 4.\nHost 10 is interested in task 7.\nHost 8 is interested in task 8.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 5.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 7 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 3.\nHost 9 is interested in task 3.\nHost 4 is interested in task 6.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1156", "image": "data/matching/graph_visual/hard/graph1156.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 11.\nHost 10 is interested in task 6.\nHost 9 is interested in task 7.\nHost 4 is interested in task 12.\nHost 8 is interested in task 12.\nHost 13 is interested in task 3.\nHost 4 is interested in task 8.\nHost 2 is interested in task 9.\nHost 14 is interested in task 5.\nHost 7 is interested in task 6.\nHost 0 is interested in task 11.\nHost 0 is interested in task 6.\nHost 4 is interested in task 10.\nHost 0 is interested in task 4.\nHost 10 is interested in task 12.\nHost 6 is interested in task 11.\nHost 2 is interested in task 12.\nHost 0 is interested in task 10.\nHost 7 is interested in task 2.\nHost 7 is interested in task 13.\nHost 14 is interested in task 6.\nHost 1 is interested in task 10.\nHost 2 is interested in task 6.\nHost 3 is interested in task 7.\nHost 10 is interested in task 13.\nHost 4 is interested in task 0.\nHost 10 is interested in task 11.\nHost 5 is interested in task 11.\nHost 5 is interested in task 0.\nHost 0 is interested in task 13.\nHost 3 is interested in task 0.\nHost 1 is interested in task 13.\nHost 3 is interested in task 5.\nHost 10 is interested in task 1.\nHost 8 is interested in task 9.\nHost 8 is interested in task 6.\nHost 8 is interested in task 5.\nHost 3 is interested in task 9.\nHost 10 is interested in task 8.\nHost 2 is interested in task 14.\nHost 9 is interested in task 12.\nHost 13 is interested in task 11.\nHost 5 is interested in task 2.\nHost 14 is interested in task 12.\nHost 14 is interested in task 9.\nHost 7 is interested in task 7.\nHost 13 is interested in task 8.\nHost 0 is interested in task 7.\nHost 10 is interested in task 14.\nHost 7 is interested in task 4.\nHost 12 is interested in task 2.\nHost 14 is interested in task 3.\nHost 7 is interested in task 14.\nHost 0 is interested in task 14.\nHost 13 is interested in task 14.\nHost 6 is interested in task 1.\nHost 12 is interested in task 0.\nHost 8 is interested in task 8.\nHost 9 is interested in task 2.\nHost 13 is interested in task 9.\nHost 4 is interested in task 7.\nHost 12 is interested in task 4.\nHost 2 is interested in task 5.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 3.\nHost 1 is interested in task 3.\nHost 6 is interested in task 13.\nHost 10 is interested in task 10.\nHost 11 is interested in task 14.\nHost 3 is interested in task 2.\nHost 3 is interested in task 11.\nHost 6 is interested in task 7.\nHost 12 is interested in task 13.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph999", "image": "data/matching/graph_visual/hard/graph999.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 5 is interested in task 7.\nHost 0 is interested in task 15.\nHost 5 is interested in task 11.\nHost 10 is interested in task 8.\nHost 4 is interested in task 9.\nHost 2 is interested in task 8.\nHost 8 is interested in task 12.\nHost 11 is interested in task 1.\nHost 7 is interested in task 5.\nHost 0 is interested in task 5.\nHost 8 is interested in task 1.\nHost 7 is interested in task 12.\nHost 5 is interested in task 14.\nHost 13 is interested in task 9.\nHost 12 is interested in task 13.\nHost 1 is interested in task 15.\nHost 5 is interested in task 4.\nHost 2 is interested in task 14.\nHost 13 is interested in task 10.\nHost 2 is interested in task 3.\nHost 4 is interested in task 15.\nHost 9 is interested in task 11.\nHost 7 is interested in task 14.\nHost 6 is interested in task 7.\nHost 3 is interested in task 9.\nHost 7 is interested in task 4.\nHost 0 is interested in task 2.\nHost 2 is interested in task 12.\nHost 0 is interested in task 0.\nHost 2 is interested in task 4.\nHost 9 is interested in task 5.\nHost 6 is interested in task 0.\nHost 12 is interested in task 10.\nHost 11 is interested in task 10.\nHost 2 is interested in task 15.\nHost 3 is interested in task 1.\nHost 5 is interested in task 8.\nHost 1 is interested in task 7.\nHost 1 is interested in task 14.\nHost 6 is interested in task 1.\nHost 9 is interested in task 15.\nHost 7 is interested in task 1.\nHost 6 is interested in task 6.\nHost 10 is interested in task 6.\nHost 9 is interested in task 1.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 13 is interested in task 11.\nHost 5 is interested in task 0.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 0 is interested in task 11.\nHost 9 is interested in task 2.\nHost 9 is interested in task 4.\nHost 3 is interested in task 12.\nHost 0 is interested in task 7.\nHost 5 is interested in task 12.\nHost 3 is interested in task 8.\nHost 2 is interested in task 7.\nHost 8 is interested in task 15.\nHost 6 is interested in task 10.\nHost 0 is interested in task 14.\nHost 9 is interested in task 10.\nHost 10 is interested in task 14.\nHost 4 is interested in task 0.\nHost 10 is interested in task 7.\nHost 7 is interested in task 2.\nHost 4 is interested in task 14.\nHost 3 is interested in task 10.\nHost 6 is interested in task 11.\nHost 1 is interested in task 10.\nHost 9 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 13.\nHost 0 is interested in task 10.\nHost 10 is interested in task 15.\nHost 3 is interested in task 11.\nHost 13 is interested in task 0.\nHost 5 is interested in task 2.\nHost 9 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1004", "image": "data/matching/graph_visual/hard/graph1004.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 12 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 8.\nHost 1 is interested in task 1.\nHost 4 is interested in task 6.\nHost 12 is interested in task 4.\nHost 6 is interested in task 0.\nHost 4 is interested in task 4.\nHost 6 is interested in task 7.\nHost 5 is interested in task 5.\nHost 1 is interested in task 15.\nHost 1 is interested in task 0.\nHost 13 is interested in task 2.\nHost 12 is interested in task 9.\nHost 4 is interested in task 7.\nHost 9 is interested in task 0.\nHost 9 is interested in task 12.\nHost 0 is interested in task 11.\nHost 0 is interested in task 2.\nHost 13 is interested in task 12.\nHost 0 is interested in task 9.\nHost 11 is interested in task 11.\nHost 7 is interested in task 2.\nHost 4 is interested in task 13.\nHost 11 is interested in task 6.\nHost 3 is interested in task 7.\nHost 7 is interested in task 12.\nHost 1 is interested in task 10.\nHost 10 is interested in task 13.\nHost 1 is interested in task 4.\nHost 1 is interested in task 14.\nHost 5 is interested in task 12.\nHost 12 is interested in task 6.\nHost 10 is interested in task 8.\nHost 13 is interested in task 0.\nHost 12 is interested in task 0.\nHost 13 is interested in task 8.\nHost 1 is interested in task 9.\nHost 1 is interested in task 12.\nHost 0 is interested in task 6.\nHost 11 is interested in task 10.\nHost 12 is interested in task 14.\nHost 0 is interested in task 12.\nHost 1 is interested in task 6.\nHost 12 is interested in task 12.\nHost 8 is interested in task 9.\nHost 7 is interested in task 13.\nHost 5 is interested in task 8.\nHost 10 is interested in task 5.\nHost 8 is interested in task 1.\nHost 11 is interested in task 1.\nHost 13 is interested in task 6.\nHost 13 is interested in task 15.\nHost 4 is interested in task 1.\nHost 5 is interested in task 0.\nHost 1 is interested in task 13.\nHost 2 is interested in task 14.\nHost 9 is interested in task 13.\nHost 7 is interested in task 9.\nHost 6 is interested in task 5.\nHost 4 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 10.\nHost 8 is interested in task 6.\nHost 5 is interested in task 6.\nHost 13 is interested in task 14.\nHost 9 is interested in task 8.\nHost 8 is interested in task 7.\nHost 8 is interested in task 11.\nHost 9 is interested in task 6.\nHost 7 is interested in task 15.\nHost 11 is interested in task 15.\nHost 13 is interested in task 13.\nHost 9 is interested in task 3.\nHost 5 is interested in task 15.\nHost 10 is interested in task 12.\nHost 5 is interested in task 4.\nHost 9 is interested in task 15.\nHost 5 is interested in task 1.\nHost 10 is interested in task 1.\nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 6 is interested in task 12.\nHost 7 is interested in task 14.\nHost 1 is interested in task 5.\nHost 3 is interested in task 13.\nHost 8 is interested in task 4.\nHost 11 is interested in task 8.\nHost 13 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph693", "image": "data/matching/graph_visual/hard/graph693.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 3.\nHost 1 is interested in task 5.\nHost 1 is interested in task 9.\nHost 10 is interested in task 2.\nHost 11 is interested in task 7.\nHost 1 is interested in task 11.\nHost 6 is interested in task 8.\nHost 5 is interested in task 1.\nHost 6 is interested in task 6.\nHost 10 is interested in task 7.\nHost 8 is interested in task 0.\nHost 2 is interested in task 4.\nHost 2 is interested in task 8.\nHost 3 is interested in task 9.\nHost 1 is interested in task 7.\nHost 2 is interested in task 6.\nHost 8 is interested in task 1.\nHost 0 is interested in task 4.\nHost 12 is interested in task 7.\nHost 7 is interested in task 8.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 0 is interested in task 6.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 6.\nHost 8 is interested in task 7.\nHost 5 is interested in task 3.\nHost 11 is interested in task 3.\nHost 8 is interested in task 6.\nHost 7 is interested in task 2.\nHost 1 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 2.\nHost 11 is interested in task 9.\nHost 8 is interested in task 2.\nHost 4 is interested in task 7.\nHost 9 is interested in task 2.\nHost 12 is interested in task 9.\nHost 5 is interested in task 4.\nHost 2 is interested in task 1.\nHost 1 is interested in task 0.\nHost 7 is interested in task 7.\nHost 11 is interested in task 4.\nHost 4 is interested in task 9.\nHost 1 is interested in task 4.\nHost 12 is interested in task 8.\nHost 2 is interested in task 9.\nHost 3 is interested in task 7.\nHost 0 is interested in task 10.\nHost 5 is interested in task 11.\nHost 9 is interested in task 5.\nHost 11 is interested in task 1.\nHost 4 is interested in task 3.\nHost 12 is interested in task 0.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph901", "image": "data/matching/graph_visual/hard/graph901.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 11 is interested in task 8.\nHost 11 is interested in task 2.\nHost 9 is interested in task 10.\nHost 2 is interested in task 0.\nHost 11 is interested in task 7.\nHost 7 is interested in task 8.\nHost 5 is interested in task 1.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 6.\nHost 7 is interested in task 3.\nHost 9 is interested in task 0.\nHost 0 is interested in task 1.\nHost 6 is interested in task 4.\nHost 7 is interested in task 10.\nHost 0 is interested in task 3.\nHost 10 is interested in task 9.\nHost 2 is interested in task 11.\nHost 11 is interested in task 9.\nHost 11 is interested in task 10.\nHost 2 is interested in task 12.\nHost 1 is interested in task 3.\nHost 10 is interested in task 5.\nHost 11 is interested in task 4.\nHost 5 is interested in task 3.\nHost 11 is interested in task 11.\nHost 12 is interested in task 1.\nHost 5 is interested in task 0.\nHost 12 is interested in task 12.\nHost 3 is interested in task 2.\nHost 12 is interested in task 5.\nHost 0 is interested in task 7.\nHost 1 is interested in task 8.\nHost 11 is interested in task 1.\nHost 1 is interested in task 11.\nHost 7 is interested in task 1.\nHost 12 is interested in task 4.\nHost 0 is interested in task 6.\nHost 0 is interested in task 9.\nHost 11 is interested in task 0.\nHost 4 is interested in task 11.\nHost 7 is interested in task 12.\nHost 9 is interested in task 4.\nHost 5 is interested in task 11.\nHost 3 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 9.\nHost 12 is interested in task 6.\nHost 8 is interested in task 11.\nHost 3 is interested in task 0.\nHost 10 is interested in task 12.\nHost 12 is interested in task 2.\nHost 2 is interested in task 4.\nHost 9 is interested in task 8.\nHost 5 is interested in task 9.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 10.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph964", "image": "data/matching/graph_visual/hard/graph964.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 12.\nHost 4 is interested in task 10.\nHost 8 is interested in task 1.\nHost 1 is interested in task 9.\nHost 12 is interested in task 0.\nHost 8 is interested in task 8.\nHost 10 is interested in task 10.\nHost 1 is interested in task 7.\nHost 0 is interested in task 1.\nHost 4 is interested in task 7.\nHost 9 is interested in task 13.\nHost 6 is interested in task 4.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 6 is interested in task 2.\nHost 5 is interested in task 3.\nHost 2 is interested in task 2.\nHost 8 is interested in task 3.\nHost 12 is interested in task 8.\nHost 7 is interested in task 4.\nHost 3 is interested in task 8.\nHost 13 is interested in task 1.\nHost 6 is interested in task 9.\nHost 2 is interested in task 12.\nHost 13 is interested in task 5.\nHost 9 is interested in task 8.\nHost 7 is interested in task 12.\nHost 4 is interested in task 8.\nHost 5 is interested in task 4.\nHost 11 is interested in task 8.\nHost 10 is interested in task 13.\nHost 10 is interested in task 1.\nHost 12 is interested in task 9.\nHost 7 is interested in task 1.\nHost 8 is interested in task 2.\nHost 5 is interested in task 2.\nHost 5 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 9.\nHost 12 is interested in task 4.\nHost 8 is interested in task 5.\nHost 6 is interested in task 3.\nHost 13 is interested in task 2.\nHost 7 is interested in task 3.\nHost 10 is interested in task 0.\nHost 8 is interested in task 10.\nHost 13 is interested in task 7.\nHost 8 is interested in task 4.\nHost 6 is interested in task 7.\nHost 9 is interested in task 7.\nHost 3 is interested in task 3.\nHost 13 is interested in task 0.\nHost 7 is interested in task 10.\nHost 3 is interested in task 7.\nHost 0 is interested in task 0.\nHost 7 is interested in task 7.\nHost 10 is interested in task 14.\nHost 5 is interested in task 1.\nHost 8 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 11.\nHost 4 is interested in task 12.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 11 is interested in task 13.\nHost 11 is interested in task 11.\nHost 0 is interested in task 3.\nHost 12 is interested in task 6.\nHost 1 is interested in task 3.\nHost 6 is interested in task 14.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph533", "image": "data/matching/graph_visual/hard/graph533.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 8 is interested in task 10.\nHost 0 is interested in task 7.\nHost 0 is interested in task 0.\nHost 8 is interested in task 11.\nHost 3 is interested in task 7.\nHost 4 is interested in task 2.\nHost 3 is interested in task 10.\nHost 9 is interested in task 2.\nHost 4 is interested in task 10.\nHost 6 is interested in task 1.\nHost 10 is interested in task 3.\nHost 2 is interested in task 2.\nHost 10 is interested in task 8.\nHost 6 is interested in task 9.\nHost 7 is interested in task 9.\nHost 4 is interested in task 6.\nHost 9 is interested in task 8.\nHost 9 is interested in task 9.\nHost 5 is interested in task 9.\nHost 7 is interested in task 2.\nHost 6 is interested in task 4.\nHost 0 is interested in task 8.\nHost 3 is interested in task 5.\nHost 1 is interested in task 2.\nHost 8 is interested in task 7.\nHost 6 is interested in task 10.\nHost 3 is interested in task 8.\nHost 11 is interested in task 5.\nHost 9 is interested in task 6.\nHost 9 is interested in task 4.\nHost 9 is interested in task 1.\nHost 3 is interested in task 6.\nHost 6 is interested in task 11.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 11 is interested in task 2.\nHost 9 is interested in task 7.\nHost 2 is interested in task 7.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 9 is interested in task 10.\nHost 3 is interested in task 9.\nHost 6 is interested in task 7.\nHost 4 is interested in task 9.\nHost 0 is interested in task 9.\nHost 6 is interested in task 6.\nHost 10 is interested in task 5.\nHost 9 is interested in task 3.\nHost 11 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 8.\nHost 7 is interested in task 8.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph721", "image": "data/matching/graph_visual/hard/graph721.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 9 is interested in task 11.\nHost 8 is interested in task 12.\nHost 1 is interested in task 0.\nHost 4 is interested in task 12.\nHost 4 is interested in task 2.\nHost 10 is interested in task 3.\nHost 10 is interested in task 1.\nHost 1 is interested in task 11.\nHost 2 is interested in task 7.\nHost 5 is interested in task 3.\nHost 12 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 3.\nHost 8 is interested in task 4.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 5 is interested in task 12.\nHost 9 is interested in task 2.\nHost 2 is interested in task 8.\nHost 3 is interested in task 3.\nHost 3 is interested in task 6.\nHost 9 is interested in task 3.\nHost 7 is interested in task 4.\nHost 9 is interested in task 8.\nHost 10 is interested in task 4.\nHost 7 is interested in task 6.\nHost 2 is interested in task 4.\nHost 2 is interested in task 9.\nHost 7 is interested in task 11.\nHost 8 is interested in task 1.\nHost 11 is interested in task 9.\nHost 1 is interested in task 8.\nHost 6 is interested in task 5.\nHost 4 is interested in task 0.\nHost 1 is interested in task 12.\nHost 11 is interested in task 12.\nHost 4 is interested in task 3.\nHost 11 is interested in task 4.\nHost 8 is interested in task 2.\nHost 11 is interested in task 7.\nHost 3 is interested in task 2.\nHost 12 is interested in task 5.\nHost 9 is interested in task 6.\nHost 10 is interested in task 7.\nHost 7 is interested in task 1.\nHost 3 is interested in task 9.\nHost 11 is interested in task 10.\nHost 4 is interested in task 7.\nHost 12 is interested in task 4.\nHost 10 is interested in task 10.\nHost 12 is interested in task 11.\nHost 5 is interested in task 10.\nHost 1 is interested in task 2.\nHost 11 is interested in task 3.\nHost 12 is interested in task 7.\nHost 10 is interested in task 2.\nHost 8 is interested in task 10.\nHost 2 is interested in task 1.\nHost 11 is interested in task 2.\nHost 11 is interested in task 0.\nHost 1 is interested in task 9.\nHost 2 is interested in task 3.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph220", "image": "data/matching/graph_visual/hard/graph220.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 8 is interested in task 1.\nHost 4 is interested in task 4.\nHost 5 is interested in task 5.\nHost 0 is interested in task 0.\nHost 2 is interested in task 7.\nHost 4 is interested in task 2.\nHost 4 is interested in task 6.\nHost 7 is interested in task 1.\nHost 9 is interested in task 2.\nHost 6 is interested in task 5.\nHost 0 is interested in task 4.\nHost 6 is interested in task 4.\nHost 8 is interested in task 0.\nHost 2 is interested in task 1.\nHost 9 is interested in task 0.\nHost 0 is interested in task 1.\nHost 9 is interested in task 3.\nHost 8 is interested in task 3.\nHost 8 is interested in task 6.\nHost 2 is interested in task 5.\nHost 6 is interested in task 6.\nHost 2 is interested in task 6.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 8 is interested in task 7.\nHost 1 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 0.\nHost 10 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 4 is interested in task 1.\nHost 10 is interested in task 2.\nHost 3 is interested in task 4.\nHost 10 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 5.\nHost 8 is interested in task 5.\nHost 1 is interested in task 7.\nHost 8 is interested in task 4.\nHost 10 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph753", "image": "data/matching/graph_visual/hard/graph753.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 12.\nHost 12 is interested in task 11.\nHost 3 is interested in task 7.\nHost 7 is interested in task 3.\nHost 10 is interested in task 0.\nHost 12 is interested in task 7.\nHost 8 is interested in task 11.\nHost 12 is interested in task 0.\nHost 7 is interested in task 7.\nHost 1 is interested in task 8.\nHost 5 is interested in task 6.\nHost 9 is interested in task 10.\nHost 1 is interested in task 5.\nHost 7 is interested in task 10.\nHost 1 is interested in task 2.\nHost 11 is interested in task 2.\nHost 10 is interested in task 4.\nHost 12 is interested in task 8.\nHost 10 is interested in task 9.\nHost 3 is interested in task 9.\nHost 5 is interested in task 3.\nHost 11 is interested in task 7.\nHost 11 is interested in task 11.\nHost 9 is interested in task 4.\nHost 12 is interested in task 9.\nHost 7 is interested in task 8.\nHost 1 is interested in task 0.\nHost 8 is interested in task 9.\nHost 6 is interested in task 3.\nHost 0 is interested in task 7.\nHost 11 is interested in task 5.\nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 12 is interested in task 6.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 2 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 6.\nHost 7 is interested in task 9.\nHost 1 is interested in task 4.\nHost 3 is interested in task 3.\nHost 4 is interested in task 11.\nHost 2 is interested in task 9.\nHost 7 is interested in task 2.\nHost 1 is interested in task 1.\nHost 9 is interested in task 1.\nHost 11 is interested in task 3.\nHost 8 is interested in task 10.\nHost 2 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 0.\nHost 10 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 9.\nHost 1 is interested in task 11.\nHost 3 is interested in task 13.\nHost 7 is interested in task 13.\nHost 10 is interested in task 13.\nHost 8 is interested in task 13.\nHost 9 is interested in task 12.\nHost 7 is interested in task 12.\nHost 10 is interested in task 1.\nHost 10 is interested in task 12.\nHost 0 is interested in task 5.\nHost 2 is interested in task 12.\nHost 9 is interested in task 8.\nHost 7 is interested in task 1.\nHost 8 is interested in task 3.\nHost 11 is interested in task 6.\nHost 11 is interested in task 4.\nHost 3 is interested in task 10.\nHost 5 is interested in task 9.\nHost 7 is interested in task 11.\nHost 10 is interested in task 11.\nHost 12 is interested in task 13.\nHost 12 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1231", "image": "data/matching/graph_visual/hard/graph1231.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 12 is interested in task 7.\nHost 11 is interested in task 15.\nHost 3 is interested in task 13.\nHost 3 is interested in task 4.\nHost 6 is interested in task 4.\nHost 2 is interested in task 9.\nHost 1 is interested in task 17.\nHost 2 is interested in task 14.\nHost 12 is interested in task 5.\nHost 13 is interested in task 3.\nHost 11 is interested in task 10.\nHost 0 is interested in task 6.\nHost 14 is interested in task 15.\nHost 13 is interested in task 7.\nHost 9 is interested in task 13.\nHost 9 is interested in task 16.\nHost 0 is interested in task 13.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 13.\nHost 9 is interested in task 14.\nHost 14 is interested in task 16.\nHost 9 is interested in task 11.\nHost 11 is interested in task 11.\nHost 0 is interested in task 16.\nHost 4 is interested in task 15.\nHost 13 is interested in task 11.\nHost 9 is interested in task 8.\nHost 1 is interested in task 13.\nHost 5 is interested in task 6.\nHost 7 is interested in task 10.\nHost 11 is interested in task 0.\nHost 13 is interested in task 4.\nHost 5 is interested in task 0.\nHost 1 is interested in task 6.\nHost 14 is interested in task 3.\nHost 10 is interested in task 13.\nHost 0 is interested in task 8.\nHost 7 is interested in task 9.\nHost 3 is interested in task 3.\nHost 4 is interested in task 13.\nHost 6 is interested in task 14.\nHost 4 is interested in task 9.\nHost 0 is interested in task 14.\nHost 5 is interested in task 5.\nHost 8 is interested in task 6.\nHost 12 is interested in task 13.\nHost 7 is interested in task 8.\nHost 6 is interested in task 2.\nHost 2 is interested in task 15.\nHost 8 is interested in task 2.\nHost 2 is interested in task 4.\nHost 1 is interested in task 0.\nHost 6 is interested in task 9.\nHost 12 is interested in task 11.\nHost 6 is interested in task 1.\nHost 4 is interested in task 14.\nHost 7 is interested in task 14.\nHost 3 is interested in task 10.\nHost 4 is interested in task 12.\nHost 13 is interested in task 17.\nHost 9 is interested in task 15.\nHost 12 is interested in task 10.\nHost 14 is interested in task 8.\nHost 2 is interested in task 11.\nHost 5 is interested in task 9.\nHost 7 is interested in task 11.\nHost 1 is interested in task 9.\nHost 0 is interested in task 12.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 14 is interested in task 11.\nHost 7 is interested in task 13.\nHost 9 is interested in task 3.\nHost 4 is interested in task 3.\nHost 11 is interested in task 13.\nHost 5 is interested in task 3.\nHost 13 is interested in task 9.\nHost 14 is interested in task 10.\nHost 11 is interested in task 16.\nHost 12 is interested in task 4.\nHost 0 is interested in task 3.\nHost 3 is interested in task 14.\nHost 14 is interested in task 7.\nHost 12 is interested in task 3.\nHost 14 is interested in task 4.\nHost 5 is interested in task 16.\nHost 9 is interested in task 9.\nHost 12 is interested in task 12.\nHost 6 is interested in task 15.\nHost 9 is interested in task 12.\nHost 1 is interested in task 8.\nHost 11 is interested in task 8.\nHost 2 is interested in task 12.\nHost 10 is interested in task 10.\nHost 7 is interested in task 15.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 3 is interested in task 6.\nHost 12 is interested in task 9.\nHost 14 is interested in task 0.\nHost 5 is interested in task 13.\nHost 10 is interested in task 0.\nHost 2 is interested in task 1.\nHost 9 is interested in task 5.\nHost 5 is interested in task 14.\nHost 2 is interested in task 16.\nHost 8 is interested in task 9.\nHost 1 is interested in task 2.\nHost 6 is interested in task 7.\nHost 0 is interested in task 7.\nHost 10 is interested in task 16.\nHost 10 is interested in task 9.\nHost 0 is interested in task 9.\nHost 14 is interested in task 17.\nHost 6 is interested in task 16.\nHost 13 is interested in task 10.\nHost 8 is interested in task 14.\nHost 1 is interested in task 5.\nHost 8 is interested in task 11.\nHost 9 is interested in task 1.\nHost 9 is interested in task 2.\nHost 9 is interested in task 4.\nHost 2 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph884", "image": "data/matching/graph_visual/hard/graph884.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 4.\nHost 1 is interested in task 10.\nHost 6 is interested in task 8.\nHost 5 is interested in task 5.\nHost 8 is interested in task 6.\nHost 0 is interested in task 4.\nHost 11 is interested in task 2.\nHost 12 is interested in task 9.\nHost 13 is interested in task 7.\nHost 4 is interested in task 11.\nHost 0 is interested in task 9.\nHost 3 is interested in task 10.\nHost 6 is interested in task 7.\nHost 7 is interested in task 3.\nHost 11 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 2.\nHost 1 is interested in task 7.\nHost 7 is interested in task 1.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 4 is interested in task 2.\nHost 9 is interested in task 2.\nHost 2 is interested in task 8.\nHost 13 is interested in task 2.\nHost 0 is interested in task 2.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0.\nHost 12 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 9.\nHost 2 is interested in task 4.\nHost 2 is interested in task 7.\nHost 3 is interested in task 3.\nHost 12 is interested in task 3.\nHost 13 is interested in task 4.\nHost 13 is interested in task 8.\nHost 12 is interested in task 5.\nHost 9 is interested in task 5.\nHost 13 is interested in task 9.\nHost 7 is interested in task 9.\nHost 8 is interested in task 2.\nHost 9 is interested in task 1.\nHost 0 is interested in task 5.\nHost 13 is interested in task 0.\nHost 13 is interested in task 3.\nHost 10 is interested in task 10.\nHost 10 is interested in task 6.\nHost 7 is interested in task 0.\nHost 4 is interested in task 5.\nHost 11 is interested in task 1.\nHost 5 is interested in task 10.\nHost 10 is interested in task 11.\nHost 12 is interested in task 11.\nHost 10 is interested in task 9.\nHost 0 is interested in task 10.\nHost 11 is interested in task 8.\nHost 6 is interested in task 3.\nHost 6 is interested in task 10.\nHost 0 is interested in task 1.\nHost 4 is interested in task 6.\nHost 0 is interested in task 8.\nHost 7 is interested in task 10.\nHost 2 is interested in task 6.\nHost 4 is interested in task 1.\nHost 8 is interested in task 3.\nHost 10 is interested in task 1.\nHost 12 is interested in task 6.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph25", "image": "data/matching/graph_visual/hard/graph25.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 3 is interested in task 6.\nHost 8 is interested in task 0.\nHost 0 is interested in task 0.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 5.\nHost 1 is interested in task 5.\nHost 2 is interested in task 5.\nHost 6 is interested in task 6.\nHost 1 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 8 is interested in task 4.\nHost 3 is interested in task 4.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 9 is interested in task 2.\nHost 5 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 5 is interested in task 4.\nHost 1 is interested in task 2.\nHost 7 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 9 is interested in task 6.\nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 7 is interested in task 6.\nHost 9 is interested in task 0.\nHost 9 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 3.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph207", "image": "data/matching/graph_visual/hard/graph207.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 10.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 12.\nHost 9 is interested in task 12.\nHost 8 is interested in task 2.\nHost 7 is interested in task 6.\nHost 5 is interested in task 11.\nHost 5 is interested in task 0.\nHost 5 is interested in task 4.\nHost 2 is interested in task 11.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 7 is interested in task 7.\nHost 4 is interested in task 8.\nHost 5 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 9.\nHost 7 is interested in task 11.\nHost 5 is interested in task 8.\nHost 4 is interested in task 7.\nHost 8 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 12.\nHost 3 is interested in task 1.\nHost 7 is interested in task 12.\nHost 1 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 1.\nHost 1 is interested in task 11.\nHost 3 is interested in task 12.\nHost 3 is interested in task 10.\nHost 1 is interested in task 7.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 8 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 12.\nHost 8 is interested in task 9.\nHost 9 is interested in task 8.\nHost 8 is interested in task 11.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 3 is interested in task 8.\nHost 8 is interested in task 6.\nHost 8 is interested in task 0.\nHost 3 is interested in task 7.\nHost 4 is interested in task 11.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1040", "image": "data/matching/graph_visual/hard/graph1040.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 10 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 13 is interested in task 11.\nHost 13 is interested in task 16.\nHost 1 is interested in task 16.\nHost 13 is interested in task 7.\nHost 1 is interested in task 14.\nHost 5 is interested in task 8.\nHost 9 is interested in task 1.\nHost 8 is interested in task 1.\nHost 8 is interested in task 12.\nHost 13 is interested in task 3.\nHost 2 is interested in task 15.\nHost 9 is interested in task 7.\nHost 0 is interested in task 15.\nHost 9 is interested in task 16.\nHost 0 is interested in task 16.\nHost 5 is interested in task 7.\nHost 0 is interested in task 7.\nHost 10 is interested in task 0.\nHost 2 is interested in task 2.\nHost 1 is interested in task 10.\nHost 0 is interested in task 4.\nHost 11 is interested in task 2.\nHost 8 is interested in task 2.\nHost 2 is interested in task 16.\nHost 3 is interested in task 16.\nHost 12 is interested in task 6.\nHost 2 is interested in task 9.\nHost 10 is interested in task 7.\nHost 9 is interested in task 13.\nHost 8 is interested in task 0.\nHost 4 is interested in task 11.\nHost 2 is interested in task 1.\nHost 9 is interested in task 3.\nHost 12 is interested in task 16.\nHost 9 is interested in task 14.\nHost 8 is interested in task 8.\nHost 6 is interested in task 7.\nHost 2 is interested in task 8.\nHost 11 is interested in task 16.\nHost 3 is interested in task 15.\nHost 7 is interested in task 12.\nHost 11 is interested in task 11.\nHost 11 is interested in task 1.\nHost 11 is interested in task 0.\nHost 6 is interested in task 13.\nHost 9 is interested in task 12.\nHost 4 is interested in task 3.\nHost 7 is interested in task 13.\nHost 9 is interested in task 5.\nHost 9 is interested in task 4.\nHost 2 is interested in task 11.\nHost 7 is interested in task 7.\nHost 7 is interested in task 11.\nHost 7 is interested in task 9.\nHost 7 is interested in task 2.\nHost 12 is interested in task 14.\nHost 4 is interested in task 13.\nHost 0 is interested in task 1.\nHost 11 is interested in task 13.\nHost 6 is interested in task 15.\nHost 6 is interested in task 12.\nHost 10 is interested in task 15.\nHost 0 is interested in task 9.\nHost 13 is interested in task 5.\nHost 5 is interested in task 0.\nHost 11 is interested in task 12.\nHost 12 is interested in task 4.\nHost 4 is interested in task 2.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 4 is interested in task 16.\nHost 11 is interested in task 6.\nHost 13 is interested in task 10.\nHost 6 is interested in task 11.\nHost 10 is interested in task 14.\nHost 2 is interested in task 14.\nHost 6 is interested in task 16.\nHost 2 is interested in task 10.\nHost 12 is interested in task 15.\nHost 11 is interested in task 10.\nHost 0 is interested in task 8.\nHost 11 is interested in task 9.\nHost 7 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph539", "image": "data/matching/graph_visual/hard/graph539.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 8 is interested in task 0.\nHost 1 is interested in task 2.\nHost 1 is interested in task 4.\nHost 9 is interested in task 11.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 8 is interested in task 1.\nHost 3 is interested in task 10.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 3.\nHost 8 is interested in task 6.\nHost 2 is interested in task 10.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 5 is interested in task 10.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4.\nHost 7 is interested in task 7.\nHost 10 is interested in task 0.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 8 is interested in task 8.\nHost 11 is interested in task 5.\nHost 9 is interested in task 9.\nHost 3 is interested in task 0.\nHost 11 is interested in task 2.\nHost 7 is interested in task 10.\nHost 3 is interested in task 5.\nHost 5 is interested in task 3.\nHost 5 is interested in task 11.\nHost 1 is interested in task 5.\nHost 5 is interested in task 7.\nHost 10 is interested in task 2.\nHost 2 is interested in task 3.\nHost 8 is interested in task 11.\nHost 0 is interested in task 0.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1152", "image": "data/matching/graph_visual/hard/graph1152.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 0 is interested in task 11.\nHost 9 is interested in task 12.\nHost 12 is interested in task 8.\nHost 5 is interested in task 12.\nHost 1 is interested in task 8.\nHost 3 is interested in task 2.\nHost 9 is interested in task 8.\nHost 5 is interested in task 11.\nHost 7 is interested in task 12.\nHost 4 is interested in task 8.\nHost 8 is interested in task 12.\nHost 6 is interested in task 2.\nHost 7 is interested in task 1.\nHost 8 is interested in task 4.\nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 0 is interested in task 13.\nHost 4 is interested in task 0.\nHost 0 is interested in task 10.\nHost 13 is interested in task 11.\nHost 5 is interested in task 1.\nHost 9 is interested in task 9.\nHost 4 is interested in task 4.\nHost 5 is interested in task 14.\nHost 6 is interested in task 10.\nHost 9 is interested in task 11.\nHost 10 is interested in task 0.\nHost 5 is interested in task 0.\nHost 10 is interested in task 10.\nHost 5 is interested in task 8.\nHost 5 is interested in task 5.\nHost 12 is interested in task 1.\nHost 0 is interested in task 5.\nHost 6 is interested in task 13.\nHost 13 is interested in task 0.\nHost 14 is interested in task 12.\nHost 0 is interested in task 7.\nHost 11 is interested in task 2.\nHost 3 is interested in task 6.\nHost 1 is interested in task 0.\nHost 8 is interested in task 14.\nHost 8 is interested in task 1.\nHost 3 is interested in task 10.\nHost 4 is interested in task 14.\nHost 1 is interested in task 11.\nHost 2 is interested in task 13.\nHost 9 is interested in task 0.\nHost 4 is interested in task 11.\nHost 10 is interested in task 13.\nHost 3 is interested in task 12.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 9.\nHost 10 is interested in task 8.\nHost 9 is interested in task 4.\nHost 11 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 13.\nHost 2 is interested in task 6.\nHost 12 is interested in task 9.\nHost 9 is interested in task 7.\nHost 4 is interested in task 1.\nHost 5 is interested in task 13.\nHost 3 is interested in task 11.\nHost 7 is interested in task 10.\nHost 9 is interested in task 10.\nHost 7 is interested in task 13.\nHost 0 is interested in task 6.\nHost 0 is interested in task 8.\nHost 10 is interested in task 2.\nHost 1 is interested in task 6.\nHost 0 is interested in task 1.\nHost 6 is interested in task 3.\nHost 13 is interested in task 6.\nHost 8 is interested in task 5.\nHost 14 is interested in task 8.\nHost 0 is interested in task 12.\nHost 1 is interested in task 14.\nHost 14 is interested in task 14.\nHost 8 is interested in task 13.\nHost 10 is interested in task 7.\nHost 12 is interested in task 6.\nHost 1 is interested in task 7.\nHost 7 is interested in task 14.\nHost 8 is interested in task 6.\nHost 6 is interested in task 11.\nHost 7 is interested in task 7.\nHost 11 is interested in task 13.\nHost 5 is interested in task 4.\nHost 11 is interested in task 10.\nHost 12 is interested in task 14.\nHost 14 is interested in task 4.\nHost 0 is interested in task 9.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph375", "image": "data/matching/graph_visual/hard/graph375.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 10 is interested in task 1.\nHost 9 is interested in task 6.\nHost 5 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 12.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 5 is interested in task 7.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 10.\nHost 9 is interested in task 1.\nHost 4 is interested in task 11.\nHost 9 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 5.\nHost 7 is interested in task 12.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 2 is interested in task 9.\nHost 7 is interested in task 2.\nHost 7 is interested in task 8.\nHost 8 is interested in task 1.\nHost 10 is interested in task 8.\nHost 2 is interested in task 1.\nHost 9 is interested in task 7.\nHost 4 is interested in task 12.\nHost 8 is interested in task 11.\nHost 5 is interested in task 3.\nHost 3 is interested in task 6.\nHost 8 is interested in task 10.\nHost 9 is interested in task 2.\nHost 1 is interested in task 9.\nHost 1 is interested in task 8.\nHost 0 is interested in task 0.\nHost 10 is interested in task 9.\nHost 2 is interested in task 7.\nHost 10 is interested in task 0.\nHost 8 is interested in task 12.\nHost 8 is interested in task 2.\nHost 0 is interested in task 10.\nHost 10 is interested in task 11.\nHost 2 is interested in task 8.\nHost 6 is interested in task 5.\nHost 2 is interested in task 10.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 9 is interested in task 8.\nHost 2 is interested in task 5.\nHost 8 is interested in task 6.\nHost 1 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 9.\nHost 8 is interested in task 9.\nHost 3 is interested in task 10.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1134", "image": "data/matching/graph_visual/hard/graph1134.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 7 is interested in task 3.\nHost 3 is interested in task 3.\nHost 10 is interested in task 10.\nHost 13 is interested in task 2.\nHost 2 is interested in task 0.\nHost 12 is interested in task 13.\nHost 0 is interested in task 12.\nHost 0 is interested in task 2.\nHost 12 is interested in task 2.\nHost 4 is interested in task 10.\nHost 13 is interested in task 3.\nHost 6 is interested in task 7.\nHost 10 is interested in task 8.\nHost 1 is interested in task 8.\nHost 4 is interested in task 1.\nHost 4 is interested in task 13.\nHost 10 is interested in task 3.\nHost 5 is interested in task 13.\nHost 5 is interested in task 6.\nHost 0 is interested in task 6.\nHost 2 is interested in task 6.\nHost 8 is interested in task 6.\nHost 5 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 0.\nHost 5 is interested in task 11.\nHost 2 is interested in task 7.\nHost 2 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 6.\nHost 11 is interested in task 0.\nHost 6 is interested in task 1.\nHost 13 is interested in task 12.\nHost 6 is interested in task 11.\nHost 13 is interested in task 6.\nHost 10 is interested in task 11.\nHost 3 is interested in task 5.\nHost 0 is interested in task 11.\nHost 3 is interested in task 12.\nHost 5 is interested in task 12.\nHost 6 is interested in task 2.\nHost 13 is interested in task 0.\nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 7 is interested in task 9.\nHost 3 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 7 is interested in task 7.\nHost 10 is interested in task 4.\nHost 7 is interested in task 8.\nHost 11 is interested in task 9.\nHost 8 is interested in task 13.\nHost 9 is interested in task 6.\nHost 0 is interested in task 8.\nHost 13 is interested in task 1.\nHost 8 is interested in task 4.\nHost 6 is interested in task 4.\nHost 13 is interested in task 5.\nHost 1 is interested in task 1.\nHost 13 is interested in task 7.\nHost 12 is interested in task 0.\nHost 2 is interested in task 10.\nHost 2 is interested in task 3.\nHost 3 is interested in task 8.\nHost 3 is interested in task 4.\nHost 9 is interested in task 11.\nHost 12 is interested in task 12.\nHost 8 is interested in task 0.\nHost 14 is interested in task 5.\nHost 0 is interested in task 7.\nHost 12 is interested in task 7.\nHost 3 is interested in task 9.\nHost 13 is interested in task 9.\nHost 4 is interested in task 7.\nHost 1 is interested in task 4.\nHost 11 is interested in task 2.\nHost 2 is interested in task 12.\nHost 13 is interested in task 8.\nHost 14 is interested in task 0.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 9 is interested in task 1.\nHost 7 is interested in task 12.\nHost 1 is interested in task 9.\nHost 1 is interested in task 12.\nHost 3 is interested in task 7.\nHost 10 is interested in task 6.\nHost 9 is interested in task 2.\nHost 2 is interested in task 5.\nHost 11 is interested in task 10.\nHost 5 is interested in task 10.\nHost 10 is interested in task 9.\nHost 6 is interested in task 5.\nHost 8 is interested in task 7.\nHost 5 is interested in task 7.\nHost 2 is interested in task 8.\nHost 8 is interested in task 11.\nHost 3 is interested in task 13.\nHost 9 is interested in task 8.\nHost 14 is interested in task 2.\nHost 8 is interested in task 9.\nHost 11 is interested in task 11.\nHost 3 is interested in task 10.\nHost 4 is interested in task 11.\nHost 12 is interested in task 4.\nHost 9 is interested in task 12.\nHost 3 is interested in task 2.\nHost 4 is interested in task 12.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph495", "image": "data/matching/graph_visual/hard/graph495.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 10 is interested in task 9.\nHost 10 is interested in task 0.\nHost 9 is interested in task 4.\nHost 8 is interested in task 10.\nHost 9 is interested in task 6.\nHost 0 is interested in task 2.\nHost 9 is interested in task 1.\nHost 9 is interested in task 9.\nHost 9 is interested in task 0.\nHost 6 is interested in task 2.\nHost 0 is interested in task 9.\nHost 8 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 0.\nHost 9 is interested in task 10.\nHost 7 is interested in task 10.\nHost 1 is interested in task 2.\nHost 8 is interested in task 9.\nHost 4 is interested in task 4.\nHost 7 is interested in task 8.\nHost 8 is interested in task 1.\nHost 10 is interested in task 6.\nHost 4 is interested in task 8.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 8 is interested in task 4.\nHost 5 is interested in task 2.\nHost 4 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 8.\nHost 10 is interested in task 5.\nHost 5 is interested in task 6.\nHost 11 is interested in task 2.\nHost 5 is interested in task 4.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 10 is interested in task 8.\nHost 3 is interested in task 6.\nHost 11 is interested in task 4.\nHost 11 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 9.\nHost 1 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 6.\nHost 5 is interested in task 9.\nHost 1 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 10.\nHost 5 is interested in task 1.\nHost 0 is interested in task 7.\nHost 5 is interested in task 8.\nHost 8 is interested in task 8.\nHost 11 is interested in task 9.\nHost 2 is interested in task 10.\nHost 10 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph288", "image": "data/matching/graph_visual/hard/graph288.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 9.\nHost 10 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 10 is interested in task 1.\nHost 6 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 0 is interested in task 7.\nHost 6 is interested in task 0.\nHost 2 is interested in task 6.\nHost 6 is interested in task 1.\nHost 7 is interested in task 9.\nHost 6 is interested in task 2.\nHost 4 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 5.\nHost 9 is interested in task 6.\nHost 0 is interested in task 2.\nHost 2 is interested in task 1.\nHost 9 is interested in task 3.\nHost 1 is interested in task 5.\nHost 10 is interested in task 5.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 7 is interested in task 4.\nHost 0 is interested in task 3.\nHost 4 is interested in task 9.\nHost 3 is interested in task 6.\nHost 4 is interested in task 1.\nHost 4 is interested in task 8.\nHost 4 is interested in task 5.\nHost 1 is interested in task 0.\nHost 10 is interested in task 8.\nHost 10 is interested in task 3.\nHost 3 is interested in task 5.\nHost 9 is interested in task 5.\nHost 1 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 8.\nHost 8 is interested in task 2.\nHost 5 is interested in task 1.\nHost 3 is interested in task 7.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph120", "image": "data/matching/graph_visual/hard/graph120.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 9 is interested in task 1.\nHost 9 is interested in task 7.\nHost 8 is interested in task 6.\nHost 3 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 2.\nHost 1 is interested in task 7.\nHost 7 is interested in task 8.\nHost 6 is interested in task 6.\nHost 5 is interested in task 2.\nHost 7 is interested in task 10.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 8.\nHost 0 is interested in task 7.\nHost 7 is interested in task 6.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 9 is interested in task 0.\nHost 0 is interested in task 0.\nHost 0 is interested in task 10.\nHost 8 is interested in task 2.\nHost 2 is interested in task 3.\nHost 2 is interested in task 6.\nHost 4 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 2.\nHost 2 is interested in task 4.\nHost 9 is interested in task 2.\nHost 2 is interested in task 9.\nHost 1 is interested in task 10.\nHost 4 is interested in task 7.\nHost 1 is interested in task 8.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 4.\nHost 5 is interested in task 1.\nHost 8 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 9.\nHost 8 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 7.\nHost 7 is interested in task 3.\nHost 7 is interested in task 5.\nHost 7 is interested in task 0.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph949", "image": "data/matching/graph_visual/hard/graph949.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 1.\nHost 9 is interested in task 13.\nHost 12 is interested in task 3.\nHost 9 is interested in task 7.\nHost 0 is interested in task 0.\nHost 5 is interested in task 2.\nHost 9 is interested in task 1.\nHost 12 is interested in task 8.\nHost 11 is interested in task 6.\nHost 2 is interested in task 7.\nHost 6 is interested in task 8.\nHost 6 is interested in task 11.\nHost 6 is interested in task 0.\nHost 1 is interested in task 13.\nHost 3 is interested in task 10.\nHost 11 is interested in task 3.\nHost 0 is interested in task 9.\nHost 4 is interested in task 3.\nHost 7 is interested in task 3.\nHost 3 is interested in task 0.\nHost 7 is interested in task 7.\nHost 0 is interested in task 11.\nHost 2 is interested in task 10.\nHost 7 is interested in task 5.\nHost 11 is interested in task 5.\nHost 11 is interested in task 12.\nHost 5 is interested in task 12.\nHost 1 is interested in task 9.\nHost 9 is interested in task 12.\nHost 0 is interested in task 10.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 2.\nHost 0 is interested in task 12.\nHost 12 is interested in task 2.\nHost 4 is interested in task 12.\nHost 3 is interested in task 9.\nHost 8 is interested in task 9.\nHost 5 is interested in task 3.\nHost 8 is interested in task 4.\nHost 6 is interested in task 7.\nHost 7 is interested in task 4.\nHost 6 is interested in task 4.\nHost 10 is interested in task 5.\nHost 5 is interested in task 1.\nHost 1 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 12 is interested in task 11.\nHost 11 is interested in task 9.\nHost 13 is interested in task 5.\nHost 4 is interested in task 0.\nHost 11 is interested in task 13.\nHost 3 is interested in task 7.\nHost 6 is interested in task 1.\nHost 2 is interested in task 8.\nHost 1 is interested in task 5.\nHost 13 is interested in task 8.\nHost 0 is interested in task 6.\nHost 10 is interested in task 13.\nHost 5 is interested in task 4.\nHost 11 is interested in task 8.\nHost 3 is interested in task 3.\nHost 13 is interested in task 3.\nHost 0 is interested in task 7.\nHost 4 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 13.\nHost 4 is interested in task 8.\nHost 3 is interested in task 12.\nHost 5 is interested in task 5.\nHost 12 is interested in task 7.\nHost 5 is interested in task 10.\nHost 7 is interested in task 8.\nHost 13 is interested in task 2.\nHost 9 is interested in task 10.\nHost 13 is interested in task 9.\nHost 1 is interested in task 2.\nHost 4 is interested in task 5.\nHost 9 is interested in task 11.\nHost 2 is interested in task 0.\nHost 7 is interested in task 9.\nHost 7 is interested in task 13.\nHost 1 is interested in task 11.\nHost 8 is interested in task 1.\nHost 5 is interested in task 13.\nHost 2 is interested in task 6.\nHost 0 is interested in task 2.\nHost 3 is interested in task 11.\nHost 5 is interested in task 6.\nHost 7 is interested in task 1.\nHost 0 is interested in task 8.\nHost 11 is interested in task 10.\nHost 1 is interested in task 6.\nHost 4 is interested in task 13.\nHost 8 is interested in task 10.\nHost 13 is interested in task 10.\nHost 12 is interested in task 6.\nHost 8 is interested in task 13.\nHost 3 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph766", "image": "data/matching/graph_visual/hard/graph766.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 2 is interested in task 8.\nHost 7 is interested in task 1.\nHost 11 is interested in task 6.\nHost 8 is interested in task 11.\nHost 3 is interested in task 6.\nHost 12 is interested in task 5.\nHost 3 is interested in task 7.\nHost 12 is interested in task 12.\nHost 12 is interested in task 9.\nHost 10 is interested in task 9.\nHost 11 is interested in task 4.\nHost 9 is interested in task 0.\nHost 6 is interested in task 10.\nHost 9 is interested in task 1.\nHost 0 is interested in task 5.\nHost 12 is interested in task 7.\nHost 7 is interested in task 10.\nHost 9 is interested in task 7.\nHost 6 is interested in task 11.\nHost 3 is interested in task 12.\nHost 11 is interested in task 3.\nHost 0 is interested in task 9.\nHost 5 is interested in task 7.\nHost 1 is interested in task 12.\nHost 4 is interested in task 7.\nHost 12 is interested in task 4.\nHost 6 is interested in task 1.\nHost 7 is interested in task 9.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 13.\nHost 9 is interested in task 6.\nHost 12 is interested in task 10.\nHost 4 is interested in task 8.\nHost 12 is interested in task 13.\nHost 6 is interested in task 12.\nHost 1 is interested in task 11.\nHost 1 is interested in task 5.\nHost 4 is interested in task 12.\nHost 9 is interested in task 3.\nHost 2 is interested in task 6.\nHost 11 is interested in task 11.\nHost 6 is interested in task 4.\nHost 5 is interested in task 1.\nHost 1 is interested in task 0.\nHost 10 is interested in task 0.\nHost 5 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 10.\nHost 10 is interested in task 2.\nHost 11 is interested in task 5.\nHost 2 is interested in task 10.\nHost 6 is interested in task 9.\nHost 4 is interested in task 2.\nHost 9 is interested in task 12.\nHost 3 is interested in task 1.\nHost 6 is interested in task 6.\nHost 6 is interested in task 13.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 11 is interested in task 10.\nHost 0 is interested in task 1.\nHost 8 is interested in task 4.\nHost 7 is interested in task 5.\nHost 8 is interested in task 6.\nHost 9 is interested in task 2.\nHost 7 is interested in task 3.\nHost 11 is interested in task 13.\nHost 6 is interested in task 8.\nHost 6 is interested in task 5.\nHost 1 is interested in task 13.\nHost 12 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 7 is interested in task 11.\nHost 2 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 1.\nHost 9 is interested in task 9.\nHost 10 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1218", "image": "data/matching/graph_visual/hard/graph1218.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 6.\nHost 2 is interested in task 9.\nHost 1 is interested in task 4.\nHost 12 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 14 is interested in task 4.\nHost 14 is interested in task 1.\nHost 10 is interested in task 14.\nHost 6 is interested in task 8.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 12 is interested in task 7.\nHost 8 is interested in task 4.\nHost 6 is interested in task 13.\nHost 5 is interested in task 16.\nHost 3 is interested in task 11.\nHost 9 is interested in task 13.\nHost 1 is interested in task 1.\nHost 6 is interested in task 14.\nHost 1 is interested in task 2.\nHost 13 is interested in task 10.\nHost 14 is interested in task 14.\nHost 8 is interested in task 13.\nHost 2 is interested in task 5.\nHost 3 is interested in task 16.\nHost 7 is interested in task 7.\nHost 6 is interested in task 6.\nHost 5 is interested in task 11.\nHost 5 is interested in task 14.\nHost 6 is interested in task 5.\nHost 3 is interested in task 8.\nHost 5 is interested in task 13.\nHost 7 is interested in task 11.\nHost 6 is interested in task 11.\nHost 4 is interested in task 11.\nHost 0 is interested in task 9.\nHost 0 is interested in task 2.\nHost 2 is interested in task 11.\nHost 7 is interested in task 5.\nHost 5 is interested in task 2.\nHost 9 is interested in task 4.\nHost 0 is interested in task 15.\nHost 4 is interested in task 8.\nHost 8 is interested in task 12.\nHost 14 is interested in task 15.\nHost 8 is interested in task 3.\nHost 10 is interested in task 15.\nHost 12 is interested in task 0.\nHost 13 is interested in task 7.\nHost 10 is interested in task 10.\nHost 2 is interested in task 0.\nHost 4 is interested in task 14.\nHost 8 is interested in task 6.\nHost 11 is interested in task 1.\nHost 2 is interested in task 13.\nHost 3 is interested in task 4.\nHost 6 is interested in task 15.\nHost 12 is interested in task 2.\nHost 6 is interested in task 2.\nHost 0 is interested in task 3.\nHost 12 is interested in task 16.\nHost 4 is interested in task 13.\nHost 2 is interested in task 8.\nHost 6 is interested in task 12.\nHost 1 is interested in task 6.\nHost 4 is interested in task 6.\nHost 14 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 8.\nHost 0 is interested in task 12.\nHost 11 is interested in task 8.\nHost 1 is interested in task 8.\nHost 0 is interested in task 4.\nHost 2 is interested in task 1.\nHost 9 is interested in task 2.\nHost 0 is interested in task 5.\nHost 3 is interested in task 3.\nHost 13 is interested in task 4.\nHost 8 is interested in task 10.\nHost 6 is interested in task 0.\nHost 6 is interested in task 9.\nHost 0 is interested in task 10.\nHost 3 is interested in task 5.\nHost 7 is interested in task 6.\nHost 11 is interested in task 11.\nHost 1 is interested in task 5.\nHost 11 is interested in task 4.\nHost 3 is interested in task 14.\nHost 12 is interested in task 10.\nHost 12 is interested in task 8.\nHost 3 is interested in task 15.\nHost 7 is interested in task 16.\nHost 4 is interested in task 3.\nHost 13 is interested in task 5.\nHost 8 is interested in task 0.\nHost 9 is interested in task 8.\nHost 5 is interested in task 8.\nHost 3 is interested in task 12.\nHost 14 is interested in task 3.\nHost 13 is interested in task 1.\nHost 13 is interested in task 11.\nHost 9 is interested in task 11.\nHost 13 is interested in task 3.\nHost 9 is interested in task 7.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph615", "image": "data/matching/graph_visual/hard/graph615.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 13.\nHost 8 is interested in task 11.\nHost 6 is interested in task 2.\nHost 7 is interested in task 4.\nHost 7 is interested in task 11.\nHost 11 is interested in task 10.\nHost 11 is interested in task 14.\nHost 2 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 7.\nHost 9 is interested in task 12.\nHost 11 is interested in task 12.\nHost 10 is interested in task 9.\nHost 4 is interested in task 3.\nHost 11 is interested in task 8.\nHost 3 is interested in task 3.\nHost 9 is interested in task 11.\nHost 1 is interested in task 2.\nHost 8 is interested in task 0.\nHost 4 is interested in task 12.\nHost 4 is interested in task 2.\nHost 0 is interested in task 2.\nHost 6 is interested in task 11.\nHost 7 is interested in task 13.\nHost 3 is interested in task 9.\nHost 8 is interested in task 13.\nHost 9 is interested in task 0.\nHost 7 is interested in task 14.\nHost 8 is interested in task 9.\nHost 5 is interested in task 4.\nHost 9 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 7.\nHost 0 is interested in task 9.\nHost 10 is interested in task 14.\nHost 6 is interested in task 5.\nHost 9 is interested in task 7.\nHost 9 is interested in task 8.\nHost 4 is interested in task 9.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 7.\nHost 4 is interested in task 5.\nHost 8 is interested in task 4.\nHost 1 is interested in task 9.\nHost 11 is interested in task 2.\nHost 1 is interested in task 14.\nHost 11 is interested in task 1.\nHost 2 is interested in task 12.\nHost 2 is interested in task 0.\nHost 11 is interested in task 13.\nHost 11 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 12.\nHost 0 is interested in task 6.\nHost 6 is interested in task 0.\nHost 11 is interested in task 7.\nHost 7 is interested in task 1.\nHost 7 is interested in task 0.\nHost 4 is interested in task 14.\nHost 9 is interested in task 10.\nHost 11 is interested in task 3.\nHost 11 is interested in task 11.\nHost 0 is interested in task 11.\nHost 1 is interested in task 10.\nHost 9 is interested in task 1.\nHost 8 is interested in task 3.\nHost 9 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph104", "image": "data/matching/graph_visual/hard/graph104.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 9.\nHost 3 is interested in task 4.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 0 is interested in task 7.\nHost 2 is interested in task 2.\nHost 8 is interested in task 2.\nHost 1 is interested in task 3.\nHost 6 is interested in task 7.\nHost 6 is interested in task 2.\nHost 9 is interested in task 7.\nHost 7 is interested in task 7.\nHost 1 is interested in task 8.\nHost 5 is interested in task 8.\nHost 7 is interested in task 3.\nHost 8 is interested in task 0.\nHost 6 is interested in task 4.\nHost 7 is interested in task 8.\nHost 7 is interested in task 5.\nHost 2 is interested in task 0.\nHost 8 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 7.\nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 4 is interested in task 7.\nHost 2 is interested in task 6.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph529", "image": "data/matching/graph_visual/hard/graph529.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 8.\nHost 9 is interested in task 1.\nHost 1 is interested in task 0.\nHost 7 is interested in task 6.\nHost 9 is interested in task 6.\nHost 3 is interested in task 9.\nHost 10 is interested in task 6.\nHost 0 is interested in task 9.\nHost 5 is interested in task 3.\nHost 9 is interested in task 2.\nHost 7 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 8.\nHost 3 is interested in task 6.\nHost 8 is interested in task 7.\nHost 1 is interested in task 5.\nHost 11 is interested in task 6.\nHost 6 is interested in task 1.\nHost 7 is interested in task 2.\nHost 7 is interested in task 4.\nHost 3 is interested in task 1.\nHost 9 is interested in task 10.\nHost 9 is interested in task 9.\nHost 5 is interested in task 2.\nHost 4 is interested in task 10.\nHost 3 is interested in task 5.\nHost 4 is interested in task 5.\nHost 8 is interested in task 8.\nHost 7 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 3 is interested in task 8.\nHost 8 is interested in task 0.\nHost 6 is interested in task 11.\nHost 3 is interested in task 3.\nHost 7 is interested in task 0.\nHost 2 is interested in task 8.\nHost 10 is interested in task 7.\nHost 5 is interested in task 1.\nHost 8 is interested in task 11.\nHost 3 is interested in task 11.\nHost 10 is interested in task 0.\nHost 10 is interested in task 3.\nHost 6 is interested in task 5.\nHost 6 is interested in task 4.\nHost 1 is interested in task 9.\nHost 9 is interested in task 4.\nHost 6 is interested in task 7.\nHost 8 is interested in task 9.\nHost 10 is interested in task 9.\nHost 1 is interested in task 11.\nHost 11 is interested in task 10.\nHost 0 is interested in task 5.\nHost 5 is interested in task 0.\nHost 9 is interested in task 11.\nHost 0 is interested in task 2.\nHost 8 is interested in task 4.\nHost 5 is interested in task 10.\nHost 9 is interested in task 5.\nHost 8 is interested in task 1.\nHost 5 is interested in task 6.\nHost 10 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1008", "image": "data/matching/graph_visual/hard/graph1008.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 2.\nHost 0 is interested in task 7.\nHost 3 is interested in task 0.\nHost 11 is interested in task 3.\nHost 5 is interested in task 13.\nHost 7 is interested in task 8.\nHost 11 is interested in task 2.\nHost 8 is interested in task 14.\nHost 8 is interested in task 12.\nHost 13 is interested in task 2.\nHost 5 is interested in task 10.\nHost 4 is interested in task 15.\nHost 7 is interested in task 7.\nHost 2 is interested in task 13.\nHost 7 is interested in task 0.\nHost 9 is interested in task 10.\nHost 2 is interested in task 5.\nHost 6 is interested in task 15.\nHost 8 is interested in task 6.\nHost 11 is interested in task 1.\nHost 1 is interested in task 4.\nHost 7 is interested in task 14.\nHost 12 is interested in task 14.\nHost 3 is interested in task 8.\nHost 5 is interested in task 11.\nHost 9 is interested in task 12.\nHost 7 is interested in task 2.\nHost 2 is interested in task 12.\nHost 5 is interested in task 12.\nHost 12 is interested in task 8.\nHost 4 is interested in task 13.\nHost 1 is interested in task 13.\nHost 12 is interested in task 10.\nHost 9 is interested in task 15.\nHost 2 is interested in task 6.\nHost 10 is interested in task 8.\nHost 5 is interested in task 2.\nHost 9 is interested in task 11.\nHost 13 is interested in task 13.\nHost 9 is interested in task 8.\nHost 5 is interested in task 4.\nHost 3 is interested in task 3.\nHost 8 is interested in task 8.\nHost 1 is interested in task 10.\nHost 2 is interested in task 14.\nHost 10 is interested in task 3.\nHost 12 is interested in task 6.\nHost 2 is interested in task 8.\nHost 10 is interested in task 4.\nHost 13 is interested in task 14.\nHost 11 is interested in task 4.\nHost 8 is interested in task 0.\nHost 0 is interested in task 4.\nHost 12 is interested in task 15.\nHost 3 is interested in task 7.\nHost 8 is interested in task 10.\nHost 11 is interested in task 5.\nHost 4 is interested in task 7.\nHost 5 is interested in task 9.\nHost 1 is interested in task 9.\nHost 7 is interested in task 4.\nHost 0 is interested in task 13.\nHost 8 is interested in task 11.\nHost 7 is interested in task 5.\nHost 11 is interested in task 7.\nHost 12 is interested in task 3.\nHost 0 is interested in task 5.\nHost 7 is interested in task 11.\nHost 3 is interested in task 9.\nHost 8 is interested in task 5.\nHost 0 is interested in task 10.\nHost 4 is interested in task 14.\nHost 0 is interested in task 9.\nHost 13 is interested in task 4.\nHost 4 is interested in task 8.\nHost 11 is interested in task 10.\nHost 2 is interested in task 15.\nHost 13 is interested in task 1.\nHost 5 is interested in task 1.\nHost 10 is interested in task 11.\nHost 11 is interested in task 8.\nHost 8 is interested in task 1.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 4 is interested in task 6.\nHost 4 is interested in task 10.\nHost 6 is interested in task 4.\nHost 11 is interested in task 15.\nHost 0 is interested in task 8.\nHost 0 is interested in task 11.\nHost 5 is interested in task 7.\nHost 5 is interested in task 8.\nHost 5 is interested in task 14.\nHost 7 is interested in task 15.\nHost 13 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1113", "image": "data/matching/graph_visual/hard/graph1113.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 4.\nHost 11 is interested in task 0.\nHost 14 is interested in task 2.\nHost 10 is interested in task 8.\nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 7 is interested in task 13.\nHost 14 is interested in task 12.\nHost 5 is interested in task 8.\nHost 12 is interested in task 13.\nHost 1 is interested in task 11.\nHost 6 is interested in task 7.\nHost 10 is interested in task 5.\nHost 3 is interested in task 3.\nHost 12 is interested in task 5.\nHost 14 is interested in task 3.\nHost 4 is interested in task 7.\nHost 1 is interested in task 13.\nHost 9 is interested in task 4.\nHost 13 is interested in task 11.\nHost 9 is interested in task 10.\nHost 13 is interested in task 7.\nHost 14 is interested in task 13.\nHost 8 is interested in task 7.\nHost 3 is interested in task 11.\nHost 6 is interested in task 13.\nHost 8 is interested in task 9.\nHost 3 is interested in task 4.\nHost 12 is interested in task 4.\nHost 9 is interested in task 13.\nHost 0 is interested in task 6.\nHost 8 is interested in task 10.\nHost 8 is interested in task 1.\nHost 7 is interested in task 2.\nHost 2 is interested in task 4.\nHost 5 is interested in task 11.\nHost 5 is interested in task 10.\nHost 4 is interested in task 0.\nHost 10 is interested in task 4.\nHost 0 is interested in task 5.\nHost 14 is interested in task 5.\nHost 13 is interested in task 2.\nHost 12 is interested in task 9.\nHost 6 is interested in task 10.\nHost 13 is interested in task 8.\nHost 7 is interested in task 0.\nHost 8 is interested in task 2.\nHost 2 is interested in task 2.\nHost 1 is interested in task 7.\nHost 11 is interested in task 5.\nHost 9 is interested in task 1.\nHost 14 is interested in task 7.\nHost 9 is interested in task 3.\nHost 13 is interested in task 13.\nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 8.\nHost 4 is interested in task 4.\nHost 11 is interested in task 10.\nHost 2 is interested in task 10.\nHost 1 is interested in task 4.\nHost 12 is interested in task 3.\nHost 5 is interested in task 0.\nHost 11 is interested in task 9.\nHost 9 is interested in task 2.\nHost 7 is interested in task 1.\nHost 3 is interested in task 8.\nHost 8 is interested in task 8.\nHost 6 is interested in task 11.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 5 is interested in task 6.\nHost 9 is interested in task 11.\nHost 4 is interested in task 3.\nHost 8 is interested in task 11.\nHost 1 is interested in task 9.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 4 is interested in task 11.\nHost 14 is interested in task 11.\nHost 10 is interested in task 13.\nHost 10 is interested in task 11.\nHost 2 is interested in task 8.\nHost 8 is interested in task 12.\nHost 6 is interested in task 3.\nHost 12 is interested in task 8.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph133", "image": "data/matching/graph_visual/hard/graph133.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 9.\nHost 9 is interested in task 2.\nHost 4 is interested in task 10.\nHost 3 is interested in task 0.\nHost 9 is interested in task 1.\nHost 0 is interested in task 8.\nHost 3 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 6.\nHost 2 is interested in task 1.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 2.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 4 is interested in task 5.\nHost 7 is interested in task 10.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph286", "image": "data/matching/graph_visual/hard/graph286.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 8 is interested in task 8.\nHost 0 is interested in task 8.\nHost 6 is interested in task 0.\nHost 7 is interested in task 0.\nHost 5 is interested in task 4.\nHost 8 is interested in task 4.\nHost 5 is interested in task 7.\nHost 9 is interested in task 7.\nHost 10 is interested in task 6.\nHost 0 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 7.\nHost 1 is interested in task 0.\nHost 10 is interested in task 5.\nHost 9 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 6.\nHost 3 is interested in task 6.\nHost 2 is interested in task 4.\nHost 9 is interested in task 5.\nHost 9 is interested in task 0.\nHost 1 is interested in task 9.\nHost 4 is interested in task 3.\nHost 9 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 1.\nHost 5 is interested in task 8.\nHost 4 is interested in task 4.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 8.\nHost 10 is interested in task 2.\nHost 4 is interested in task 9.\nHost 5 is interested in task 0.\nHost 7 is interested in task 3.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1094", "image": "data/matching/graph_visual/hard/graph1094.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 7 is interested in task 1.\nHost 0 is interested in task 4.\nHost 11 is interested in task 8.\nHost 0 is interested in task 0.\nHost 12 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 9.\nHost 8 is interested in task 4.\nHost 0 is interested in task 11.\nHost 3 is interested in task 11.\nHost 0 is interested in task 7.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 8 is interested in task 6.\nHost 10 is interested in task 11.\nHost 14 is interested in task 4.\nHost 7 is interested in task 0.\nHost 9 is interested in task 6.\nHost 4 is interested in task 8.\nHost 13 is interested in task 8.\nHost 6 is interested in task 5.\nHost 4 is interested in task 10.\nHost 4 is interested in task 2.\nHost 12 is interested in task 8.\nHost 0 is interested in task 10.\nHost 12 is interested in task 5.\nHost 4 is interested in task 6.\nHost 2 is interested in task 7.\nHost 3 is interested in task 2.\nHost 0 is interested in task 8.\nHost 10 is interested in task 0.\nHost 8 is interested in task 1.\nHost 4 is interested in task 9.\nHost 0 is interested in task 2.\nHost 6 is interested in task 8.\nHost 5 is interested in task 8.\nHost 11 is interested in task 4.\nHost 2 is interested in task 6.\nHost 5 is interested in task 1.\nHost 11 is interested in task 12.\nHost 7 is interested in task 6.\nHost 8 is interested in task 12.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 11 is interested in task 6.\nHost 2 is interested in task 5.\nHost 14 is interested in task 3.\nHost 5 is interested in task 0.\nHost 9 is interested in task 5.\nHost 8 is interested in task 8.\nHost 12 is interested in task 1.\nHost 0 is interested in task 3.\nHost 9 is interested in task 8.\nHost 1 is interested in task 7.\nHost 1 is interested in task 1.\nHost 6 is interested in task 11.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 8 is interested in task 7.\nHost 6 is interested in task 3.\nHost 0 is interested in task 6.\nHost 5 is interested in task 2.\nHost 14 is interested in task 9.\nHost 4 is interested in task 11.\nHost 12 is interested in task 7.\nHost 5 is interested in task 10.\nHost 13 is interested in task 4.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph376", "image": "data/matching/graph_visual/hard/graph376.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 8.\nHost 4 is interested in task 3.\nHost 9 is interested in task 5.\nHost 3 is interested in task 1.\nHost 6 is interested in task 0.\nHost 1 is interested in task 8.\nHost 10 is interested in task 0.\nHost 3 is interested in task 4.\nHost 0 is interested in task 3.\nHost 10 is interested in task 2.\nHost 3 is interested in task 11.\nHost 8 is interested in task 2.\nHost 4 is interested in task 12.\nHost 6 is interested in task 12.\nHost 1 is interested in task 3.\nHost 5 is interested in task 5.\nHost 5 is interested in task 10.\nHost 3 is interested in task 9.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 4.\nHost 10 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 6.\nHost 8 is interested in task 4.\nHost 9 is interested in task 4.\nHost 5 is interested in task 11.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 10 is interested in task 3.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 0 is interested in task 9.\nHost 7 is interested in task 10.\nHost 4 is interested in task 11.\nHost 0 is interested in task 4.\nHost 2 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 5.\nHost 2 is interested in task 4.\nHost 1 is interested in task 11.\nHost 10 is interested in task 8.\nHost 4 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 9.\nHost 0 is interested in task 8.\nHost 0 is interested in task 11.\nHost 3 is interested in task 12.\nHost 1 is interested in task 0.\nHost 4 is interested in task 6.\nHost 5 is interested in task 12.\nHost 3 is interested in task 10.\nHost 5 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 2.\nHost 9 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph492", "image": "data/matching/graph_visual/hard/graph492.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 7.\nHost 9 is interested in task 8.\nHost 5 is interested in task 1.\nHost 7 is interested in task 4.\nHost 10 is interested in task 5.\nHost 3 is interested in task 10.\nHost 4 is interested in task 4.\nHost 7 is interested in task 2.\nHost 8 is interested in task 10.\nHost 4 is interested in task 8.\nHost 10 is interested in task 2.\nHost 11 is interested in task 4.\nHost 3 is interested in task 4.\nHost 7 is interested in task 7.\nHost 7 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 6.\nHost 11 is interested in task 9.\nHost 5 is interested in task 5.\nHost 3 is interested in task 6.\nHost 4 is interested in task 5.\nHost 5 is interested in task 9.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 9 is interested in task 7.\nHost 3 is interested in task 8.\nHost 11 is interested in task 0.\nHost 1 is interested in task 10.\nHost 11 is interested in task 8.\nHost 9 is interested in task 2.\nHost 4 is interested in task 9.\nHost 6 is interested in task 5.\nHost 10 is interested in task 0.\nHost 0 is interested in task 8.\nHost 10 is interested in task 7.\nHost 1 is interested in task 2.\nHost 9 is interested in task 5.\nHost 2 is interested in task 6.\nHost 10 is interested in task 10.\nHost 3 is interested in task 7.\nHost 9 is interested in task 4.\nHost 2 is interested in task 3.\nHost 9 is interested in task 0.\nHost 1 is interested in task 8.\nHost 0 is interested in task 10.\nHost 0 is interested in task 9.\nHost 4 is interested in task 0.\nHost 1 is interested in task 5.\nHost 9 is interested in task 6.\nHost 11 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1180", "image": "data/matching/graph_visual/hard/graph1180.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 8 is interested in task 10.\nHost 7 is interested in task 5.\nHost 11 is interested in task 11.\nHost 7 is interested in task 12.\nHost 13 is interested in task 3.\nHost 0 is interested in task 5.\nHost 11 is interested in task 7.\nHost 3 is interested in task 1.\nHost 6 is interested in task 0.\nHost 7 is interested in task 7.\nHost 8 is interested in task 15.\nHost 0 is interested in task 12.\nHost 5 is interested in task 4.\nHost 14 is interested in task 9.\nHost 5 is interested in task 0.\nHost 7 is interested in task 3.\nHost 8 is interested in task 14.\nHost 6 is interested in task 7.\nHost 10 is interested in task 2.\nHost 5 is interested in task 10.\nHost 10 is interested in task 1.\nHost 6 is interested in task 1.\nHost 8 is interested in task 8.\nHost 0 is interested in task 10.\nHost 9 is interested in task 0.\nHost 12 is interested in task 11.\nHost 13 is interested in task 10.\nHost 13 is interested in task 13.\nHost 0 is interested in task 8.\nHost 9 is interested in task 8.\nHost 1 is interested in task 14.\nHost 13 is interested in task 12.\nHost 10 is interested in task 7.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 14 is interested in task 12.\nHost 4 is interested in task 13.\nHost 13 is interested in task 8.\nHost 7 is interested in task 11.\nHost 3 is interested in task 7.\nHost 12 is interested in task 7.\nHost 5 is interested in task 2.\nHost 14 is interested in task 14.\nHost 5 is interested in task 14.\nHost 13 is interested in task 9.\nHost 4 is interested in task 10.\nHost 7 is interested in task 6.\nHost 11 is interested in task 0.\nHost 8 is interested in task 13.\nHost 0 is interested in task 1.\nHost 13 is interested in task 4.\nHost 0 is interested in task 7.\nHost 8 is interested in task 4.\nHost 11 is interested in task 10.\nHost 13 is interested in task 11.\nHost 8 is interested in task 5.\nHost 10 is interested in task 11.\nHost 6 is interested in task 5.\nHost 9 is interested in task 13.\nHost 8 is interested in task 6.\nHost 4 is interested in task 6.\nHost 12 is interested in task 2.\nHost 9 is interested in task 6.\nHost 13 is interested in task 15.\nHost 7 is interested in task 1.\nHost 5 is interested in task 7.\nHost 8 is interested in task 12.\nHost 4 is interested in task 5.\nHost 7 is interested in task 8.\nHost 0 is interested in task 6.\nHost 13 is interested in task 7.\nHost 11 is interested in task 3.\nHost 7 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph373", "image": "data/matching/graph_visual/hard/graph373.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 10.\nHost 5 is interested in task 5.\nHost 8 is interested in task 11.\nHost 10 is interested in task 11.\nHost 10 is interested in task 7.\nHost 4 is interested in task 7.\nHost 9 is interested in task 0.\nHost 1 is interested in task 6.\nHost 4 is interested in task 12.\nHost 9 is interested in task 4.\nHost 2 is interested in task 0.\nHost 7 is interested in task 0.\nHost 10 is interested in task 5.\nHost 7 is interested in task 8.\nHost 5 is interested in task 12.\nHost 7 is interested in task 12.\nHost 3 is interested in task 4.\nHost 10 is interested in task 10.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 10 is interested in task 9.\nHost 10 is interested in task 3.\nHost 1 is interested in task 9.\nHost 10 is interested in task 4.\nHost 9 is interested in task 12.\nHost 9 is interested in task 9.\nHost 4 is interested in task 6.\nHost 5 is interested in task 1.\nHost 4 is interested in task 10.\nHost 9 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 10 is interested in task 12.\nHost 5 is interested in task 2.\nHost 9 is interested in task 5.\nHost 3 is interested in task 0.\nHost 3 is interested in task 8.\nHost 10 is interested in task 0.\nHost 1 is interested in task 11.\nHost 5 is interested in task 8.\nHost 6 is interested in task 1.\nHost 3 is interested in task 7.\nHost 2 is interested in task 1.\nHost 0 is interested in task 11.\nHost 3 is interested in task 10.\nHost 7 is interested in task 3.\nHost 0 is interested in task 8.\nHost 5 is interested in task 11.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph484", "image": "data/matching/graph_visual/hard/graph484.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 11 is interested in task 0.\nHost 10 is interested in task 9.\nHost 2 is interested in task 9.\nHost 3 is interested in task 10.\nHost 0 is interested in task 9.\nHost 0 is interested in task 7.\nHost 3 is interested in task 4.\nHost 3 is interested in task 6.\nHost 9 is interested in task 5.\nHost 11 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 10.\nHost 10 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 4.\nHost 8 is interested in task 10.\nHost 5 is interested in task 9.\nHost 4 is interested in task 8.\nHost 10 is interested in task 6.\nHost 2 is interested in task 5.\nHost 9 is interested in task 2.\nHost 11 is interested in task 6.\nHost 11 is interested in task 4.\nHost 9 is interested in task 0.\nHost 6 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 10 is interested in task 4.\nHost 7 is interested in task 2.\nHost 8 is interested in task 9.\nHost 8 is interested in task 4.\nHost 10 is interested in task 5.\nHost 6 is interested in task 0.\nHost 0 is interested in task 5.\nHost 0 is interested in task 8.\nHost 6 is interested in task 7.\nHost 4 is interested in task 5.\nHost 6 is interested in task 9.\nHost 6 is interested in task 8.\nHost 9 is interested in task 7.\nHost 2 is interested in task 6.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1052", "image": "data/matching/graph_visual/hard/graph1052.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 11 is interested in task 6.\nHost 6 is interested in task 2.\nHost 14 is interested in task 5.\nHost 1 is interested in task 0.\nHost 5 is interested in task 9.\nHost 5 is interested in task 6.\nHost 9 is interested in task 0.\nHost 8 is interested in task 2.\nHost 5 is interested in task 3.\nHost 9 is interested in task 9.\nHost 3 is interested in task 4.\nHost 6 is interested in task 8.\nHost 6 is interested in task 0.\nHost 5 is interested in task 2.\nHost 2 is interested in task 9.\nHost 3 is interested in task 0.\nHost 0 is interested in task 1.\nHost 13 is interested in task 10.\nHost 8 is interested in task 1.\nHost 0 is interested in task 9.\nHost 4 is interested in task 0.\nHost 9 is interested in task 11.\nHost 10 is interested in task 3.\nHost 14 is interested in task 1.\nHost 14 is interested in task 11.\nHost 13 is interested in task 11.\nHost 14 is interested in task 10.\nHost 9 is interested in task 5.\nHost 7 is interested in task 6.\nHost 11 is interested in task 2.\nHost 11 is interested in task 10.\nHost 5 is interested in task 8.\nHost 0 is interested in task 5.\nHost 9 is interested in task 8.\nHost 10 is interested in task 9.\nHost 10 is interested in task 1.\nHost 9 is interested in task 6.\nHost 7 is interested in task 5.\nHost 9 is interested in task 7.\nHost 7 is interested in task 11.\nHost 2 is interested in task 2.\nHost 12 is interested in task 10.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 10 is interested in task 8.\nHost 12 is interested in task 8.\nHost 12 is interested in task 9.\nHost 4 is interested in task 6.\nHost 1 is interested in task 11.\nHost 7 is interested in task 3.\nHost 2 is interested in task 0.\nHost 3 is interested in task 9.\nHost 6 is interested in task 7.\nHost 10 is interested in task 11.\nHost 1 is interested in task 3.\nHost 5 is interested in task 4.\nHost 14 is interested in task 0.\nHost 6 is interested in task 4.\nHost 4 is interested in task 11.\nHost 12 is interested in task 4.\nHost 10 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 2.\nHost 3 is interested in task 8.\nHost 11 is interested in task 8.\nHost 13 is interested in task 1.\nHost 10 is interested in task 2.\nHost 0 is interested in task 11.\nHost 14 is interested in task 4.\nHost 12 is interested in task 3.\nHost 10 is interested in task 4.\nHost 9 is interested in task 4.\nHost 9 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph806", "image": "data/matching/graph_visual/hard/graph806.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 7.\nHost 12 is interested in task 5.\nHost 6 is interested in task 0.\nHost 7 is interested in task 4.\nHost 9 is interested in task 4.\nHost 12 is interested in task 1.\nHost 11 is interested in task 3.\nHost 5 is interested in task 4.\nHost 3 is interested in task 9.\nHost 10 is interested in task 7.\nHost 2 is interested in task 7.\nHost 4 is interested in task 11.\nHost 10 is interested in task 1.\nHost 5 is interested in task 14.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 10.\nHost 6 is interested in task 9.\nHost 9 is interested in task 11.\nHost 3 is interested in task 12.\nHost 11 is interested in task 10.\nHost 3 is interested in task 6.\nHost 10 is interested in task 4.\nHost 3 is interested in task 0.\nHost 4 is interested in task 12.\nHost 12 is interested in task 0.\nHost 6 is interested in task 11.\nHost 8 is interested in task 12.\nHost 0 is interested in task 14.\nHost 2 is interested in task 0.\nHost 6 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 8.\nHost 4 is interested in task 0.\nHost 8 is interested in task 10.\nHost 0 is interested in task 13.\nHost 2 is interested in task 1.\nHost 2 is interested in task 3.\nHost 7 is interested in task 0.\nHost 9 is interested in task 9.\nHost 6 is interested in task 13.\nHost 12 is interested in task 14.\nHost 9 is interested in task 10.\nHost 6 is interested in task 5.\nHost 0 is interested in task 12.\nHost 11 is interested in task 0.\nHost 10 is interested in task 8.\nHost 7 is interested in task 3.\nHost 3 is interested in task 8.\nHost 1 is interested in task 14.\nHost 7 is interested in task 8.\nHost 10 is interested in task 12.\nHost 2 is interested in task 10.\nHost 11 is interested in task 6.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 2 is interested in task 5.\nHost 7 is interested in task 14.\nHost 12 is interested in task 2.\nHost 4 is interested in task 5.\nHost 8 is interested in task 11.\nHost 2 is interested in task 6.\nHost 6 is interested in task 4.\nHost 8 is interested in task 7.\nHost 2 is interested in task 13.\nHost 2 is interested in task 11.\nHost 6 is interested in task 10.\nHost 10 is interested in task 2.\nHost 5 is interested in task 7.\nHost 5 is interested in task 8.\nHost 0 is interested in task 8.\nHost 1 is interested in task 12.\nHost 11 is interested in task 8.\nHost 5 is interested in task 2.\nHost 11 is interested in task 1.\nHost 3 is interested in task 2.\nHost 7 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 10.\nHost 10 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph459", "image": "data/matching/graph_visual/hard/graph459.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 7.\nHost 9 is interested in task 4.\nHost 6 is interested in task 3.\nHost 9 is interested in task 7.\nHost 6 is interested in task 2.\nHost 9 is interested in task 5.\nHost 6 is interested in task 8.\nHost 7 is interested in task 1.\nHost 3 is interested in task 8.\nHost 1 is interested in task 6.\nHost 6 is interested in task 1.\nHost 2 is interested in task 9.\nHost 8 is interested in task 7.\nHost 10 is interested in task 2.\nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 10 is interested in task 8.\nHost 10 is interested in task 0.\nHost 1 is interested in task 3.\nHost 9 is interested in task 0.\nHost 5 is interested in task 3.\nHost 1 is interested in task 8.\nHost 9 is interested in task 2.\nHost 1 is interested in task 2.\nHost 11 is interested in task 5.\nHost 11 is interested in task 1.\nHost 11 is interested in task 9.\nHost 3 is interested in task 0.\nHost 10 is interested in task 1.\nHost 11 is interested in task 3.\nHost 2 is interested in task 7.\nHost 11 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 8.\nHost 8 is interested in task 0.\nHost 10 is interested in task 3.\nHost 7 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 9.\nHost 5 is interested in task 6.\nHost 6 is interested in task 0.\nHost 4 is interested in task 6.\nHost 2 is interested in task 6.\nHost 6 is interested in task 7.\nHost 9 is interested in task 9.\nHost 7 is interested in task 6.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph51", "image": "data/matching/graph_visual/hard/graph51.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 7 is interested in task 3.\nHost 9 is interested in task 4.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 6 is interested in task 0.\nHost 3 is interested in task 3.\nHost 5 is interested in task 1.\nHost 6 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 0.\nHost 3 is interested in task 4.\nHost 2 is interested in task 7.\nHost 4 is interested in task 6.\nHost 8 is interested in task 5.\nHost 7 is interested in task 7.\nHost 6 is interested in task 1.\nHost 9 is interested in task 1.\nHost 0 is interested in task 6.\nHost 8 is interested in task 6.\nHost 9 is interested in task 5.\nHost 0 is interested in task 7.\nHost 5 is interested in task 4.\nHost 4 is interested in task 1.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 9 is interested in task 3.\nHost 1 is interested in task 0.\nHost 9 is interested in task 7.\nHost 7 is interested in task 4.\nHost 9 is interested in task 0.\nHost 5 is interested in task 0.\nHost 8 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1209", "image": "data/matching/graph_visual/hard/graph1209.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 11.\nHost 5 is interested in task 10.\nHost 10 is interested in task 11.\nHost 7 is interested in task 5.\nHost 3 is interested in task 16.\nHost 8 is interested in task 16.\nHost 0 is interested in task 11.\nHost 12 is interested in task 16.\nHost 5 is interested in task 16.\nHost 7 is interested in task 0.\nHost 8 is interested in task 7.\nHost 5 is interested in task 9.\nHost 3 is interested in task 13.\nHost 12 is interested in task 13.\nHost 5 is interested in task 3.\nHost 7 is interested in task 9.\nHost 3 is interested in task 4.\nHost 3 is interested in task 12.\nHost 1 is interested in task 3.\nHost 10 is interested in task 10.\nHost 9 is interested in task 3.\nHost 3 is interested in task 11.\nHost 5 is interested in task 14.\nHost 10 is interested in task 5.\nHost 7 is interested in task 15.\nHost 1 is interested in task 6.\nHost 1 is interested in task 8.\nHost 12 is interested in task 12.\nHost 0 is interested in task 12.\nHost 14 is interested in task 15.\nHost 10 is interested in task 12.\nHost 3 is interested in task 9.\nHost 5 is interested in task 1.\nHost 11 is interested in task 4.\nHost 8 is interested in task 4.\nHost 8 is interested in task 6.\nHost 6 is interested in task 13.\nHost 6 is interested in task 10.\nHost 6 is interested in task 16.\nHost 7 is interested in task 13.\nHost 1 is interested in task 15.\nHost 4 is interested in task 0.\nHost 2 is interested in task 7.\nHost 14 is interested in task 3.\nHost 7 is interested in task 11.\nHost 1 is interested in task 10.\nHost 4 is interested in task 16.\nHost 9 is interested in task 1.\nHost 5 is interested in task 6.\nHost 3 is interested in task 15.\nHost 2 is interested in task 12.\nHost 5 is interested in task 0.\nHost 14 is interested in task 8.\nHost 13 is interested in task 13.\nHost 1 is interested in task 12.\nHost 7 is interested in task 14.\nHost 7 is interested in task 4.\nHost 11 is interested in task 14.\nHost 10 is interested in task 7.\nHost 4 is interested in task 1.\nHost 8 is interested in task 12.\nHost 9 is interested in task 9.\nHost 6 is interested in task 6.\nHost 6 is interested in task 4.\nHost 12 is interested in task 7.\nHost 1 is interested in task 14.\nHost 1 is interested in task 4.\nHost 13 is interested in task 5.\nHost 10 is interested in task 15.\nHost 12 is interested in task 8.\nHost 3 is interested in task 14.\nHost 9 is interested in task 4.\nHost 8 is interested in task 14.\nHost 11 is interested in task 12.\nHost 0 is interested in task 10.\nHost 4 is interested in task 7.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 11 is interested in task 3.\nHost 8 is interested in task 2.\nHost 1 is interested in task 13.\nHost 3 is interested in task 6.\nHost 12 is interested in task 2.\nHost 9 is interested in task 0.\nHost 14 is interested in task 7.\nHost 5 is interested in task 2.\nHost 14 is interested in task 1.\nHost 4 is interested in task 12.\nHost 8 is interested in task 11.\nHost 13 is interested in task 14.\nHost 3 is interested in task 1.\nHost 13 is interested in task 16.\nHost 6 is interested in task 3.\nHost 0 is interested in task 16.\nHost 8 is interested in task 5.\nHost 4 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph790", "image": "data/matching/graph_visual/hard/graph790.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 6 is interested in task 6.\nHost 12 is interested in task 7.\nHost 11 is interested in task 3.\nHost 9 is interested in task 5.\nHost 10 is interested in task 5.\nHost 2 is interested in task 14.\nHost 3 is interested in task 3.\nHost 7 is interested in task 11.\nHost 1 is interested in task 14.\nHost 7 is interested in task 0.\nHost 11 is interested in task 9.\nHost 12 is interested in task 13.\nHost 1 is interested in task 9.\nHost 9 is interested in task 13.\nHost 1 is interested in task 11.\nHost 5 is interested in task 6.\nHost 8 is interested in task 12.\nHost 1 is interested in task 3.\nHost 11 is interested in task 11.\nHost 2 is interested in task 10.\nHost 10 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7.\nHost 9 is interested in task 10.\nHost 12 is interested in task 9.\nHost 9 is interested in task 12.\nHost 10 is interested in task 0.\nHost 9 is interested in task 8.\nHost 9 is interested in task 0.\nHost 11 is interested in task 7.\nHost 12 is interested in task 11.\nHost 7 is interested in task 14.\nHost 12 is interested in task 5.\nHost 6 is interested in task 0.\nHost 6 is interested in task 10.\nHost 0 is interested in task 2.\nHost 6 is interested in task 12.\nHost 6 is interested in task 5.\nHost 6 is interested in task 7.\nHost 12 is interested in task 10.\nHost 11 is interested in task 5.\nHost 3 is interested in task 5.\nHost 3 is interested in task 9.\nHost 12 is interested in task 4.\nHost 9 is interested in task 7.\nHost 6 is interested in task 1.\nHost 2 is interested in task 3.\nHost 10 is interested in task 8.\nHost 1 is interested in task 12.\nHost 11 is interested in task 1.\nHost 8 is interested in task 1.\nHost 4 is interested in task 8.\nHost 6 is interested in task 9.\nHost 9 is interested in task 9.\nHost 1 is interested in task 4.\nHost 1 is interested in task 13.\nHost 3 is interested in task 11.\nHost 11 is interested in task 4.\nHost 8 is interested in task 11.\nHost 6 is interested in task 8.\nHost 12 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 12.\nHost 1 is interested in task 7.\nHost 6 is interested in task 11.\nHost 6 is interested in task 13.\nHost 7 is interested in task 3.\nHost 9 is interested in task 11.\nHost 10 is interested in task 14.\nHost 2 is interested in task 7.\nHost 8 is interested in task 3.\nHost 10 is interested in task 3.\nHost 0 is interested in task 0.\nHost 7 is interested in task 5.\nHost 10 is interested in task 10.\nHost 3 is interested in task 1.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph295", "image": "data/matching/graph_visual/hard/graph295.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 9 is interested in task 0.\nHost 3 is interested in task 6.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 10 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 1.\nHost 8 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 8.\nHost 3 is interested in task 1.\nHost 8 is interested in task 8.\nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 6.\nHost 6 is interested in task 3.\nHost 7 is interested in task 5.\nHost 6 is interested in task 2.\nHost 5 is interested in task 3.\nHost 4 is interested in task 0.\nHost 8 is interested in task 9.\nHost 7 is interested in task 2.\nHost 8 is interested in task 4.\nHost 1 is interested in task 4.\nHost 5 is interested in task 8.\nHost 8 is interested in task 6.\nHost 7 is interested in task 7.\nHost 0 is interested in task 0.\nHost 4 is interested in task 9.\nHost 5 is interested in task 0.\nHost 0 is interested in task 7.\nHost 7 is interested in task 8.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3.\nHost 7 is interested in task 1.\nHost 9 is interested in task 3.\nHost 5 is interested in task 4.\nHost 7 is interested in task 6.\nHost 5 is interested in task 5.\nHost 1 is interested in task 7.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph962", "image": "data/matching/graph_visual/hard/graph962.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 14.\nHost 12 is interested in task 8.\nHost 1 is interested in task 9.\nHost 7 is interested in task 7.\nHost 13 is interested in task 10.\nHost 0 is interested in task 13.\nHost 9 is interested in task 6.\nHost 10 is interested in task 14.\nHost 9 is interested in task 10.\nHost 13 is interested in task 6.\nHost 0 is interested in task 12.\nHost 13 is interested in task 9.\nHost 11 is interested in task 8.\nHost 0 is interested in task 0.\nHost 9 is interested in task 9.\nHost 10 is interested in task 4.\nHost 8 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 8.\nHost 3 is interested in task 13.\nHost 7 is interested in task 8.\nHost 0 is interested in task 11.\nHost 6 is interested in task 14.\nHost 13 is interested in task 13.\nHost 8 is interested in task 7.\nHost 0 is interested in task 10.\nHost 13 is interested in task 8.\nHost 0 is interested in task 7.\nHost 8 is interested in task 1.\nHost 10 is interested in task 3.\nHost 12 is interested in task 5.\nHost 12 is interested in task 14.\nHost 9 is interested in task 13.\nHost 1 is interested in task 3.\nHost 13 is interested in task 0.\nHost 4 is interested in task 10.\nHost 10 is interested in task 5.\nHost 9 is interested in task 7.\nHost 11 is interested in task 14.\nHost 11 is interested in task 12.\nHost 11 is interested in task 11.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 13 is interested in task 1.\nHost 7 is interested in task 9.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 3 is interested in task 10.\nHost 10 is interested in task 13.\nHost 7 is interested in task 11.\nHost 10 is interested in task 9.\nHost 5 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 0.\nHost 4 is interested in task 9.\nHost 12 is interested in task 3.\nHost 13 is interested in task 14.\nHost 1 is interested in task 6.\nHost 10 is interested in task 1.\nHost 4 is interested in task 1.\nHost 9 is interested in task 4.\nHost 12 is interested in task 2.\nHost 8 is interested in task 5.\nHost 12 is interested in task 9.\nHost 2 is interested in task 8.\nHost 11 is interested in task 3.\nHost 4 is interested in task 6.\nHost 12 is interested in task 0.\nHost 13 is interested in task 5.\nHost 2 is interested in task 11.\nHost 4 is interested in task 12.\nHost 11 is interested in task 6.\nHost 12 is interested in task 6.\nHost 1 is interested in task 2.\nHost 12 is interested in task 7.\nHost 7 is interested in task 5.\nHost 1 is interested in task 5.\nHost 8 is interested in task 13.\nHost 11 is interested in task 4.\nHost 12 is interested in task 11.\nHost 11 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph801", "image": "data/matching/graph_visual/hard/graph801.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 7.\nHost 6 is interested in task 1.\nHost 12 is interested in task 2.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 10 is interested in task 2.\nHost 11 is interested in task 0.\nHost 3 is interested in task 11.\nHost 8 is interested in task 6.\nHost 12 is interested in task 7.\nHost 7 is interested in task 8.\nHost 5 is interested in task 3.\nHost 10 is interested in task 8.\nHost 0 is interested in task 4.\nHost 4 is interested in task 12.\nHost 2 is interested in task 8.\nHost 1 is interested in task 14.\nHost 8 is interested in task 12.\nHost 6 is interested in task 12.\nHost 5 is interested in task 11.\nHost 2 is interested in task 10.\nHost 6 is interested in task 0.\nHost 3 is interested in task 13.\nHost 5 is interested in task 10.\nHost 3 is interested in task 6.\nHost 12 is interested in task 3.\nHost 7 is interested in task 3.\nHost 5 is interested in task 5.\nHost 1 is interested in task 6.\nHost 10 is interested in task 3.\nHost 2 is interested in task 4.\nHost 8 is interested in task 14.\nHost 3 is interested in task 0.\nHost 11 is interested in task 10.\nHost 7 is interested in task 7.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 5 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 5.\nHost 4 is interested in task 14.\nHost 5 is interested in task 8.\nHost 6 is interested in task 7.\nHost 8 is interested in task 0.\nHost 12 is interested in task 0.\nHost 11 is interested in task 13.\nHost 10 is interested in task 11.\nHost 2 is interested in task 9.\nHost 5 is interested in task 6.\nHost 12 is interested in task 12.\nHost 2 is interested in task 14.\nHost 2 is interested in task 11.\nHost 0 is interested in task 10.\nHost 3 is interested in task 5.\nHost 4 is interested in task 5.\nHost 6 is interested in task 11.\nHost 10 is interested in task 13.\nHost 11 is interested in task 8.\nHost 8 is interested in task 11.\nHost 12 is interested in task 8.\nHost 12 is interested in task 5.\nHost 7 is interested in task 14.\nHost 4 is interested in task 13.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 9 is interested in task 10.\nHost 11 is interested in task 2.\nHost 4 is interested in task 11.\nHost 7 is interested in task 4.\nHost 12 is interested in task 14.\nHost 7 is interested in task 0.\nHost 1 is interested in task 13.\nHost 8 is interested in task 1.\nHost 10 is interested in task 9.\nHost 3 is interested in task 12.\nHost 8 is interested in task 13.\nHost 3 is interested in task 1.\nHost 10 is interested in task 10.\nHost 9 is interested in task 5.\nHost 2 is interested in task 13.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph103", "image": "data/matching/graph_visual/hard/graph103.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 9 is interested in task 4.\nHost 8 is interested in task 3.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 0 is interested in task 7.\nHost 9 is interested in task 3.\nHost 7 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 2.\nHost 6 is interested in task 8.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 6.\nHost 9 is interested in task 7.\nHost 9 is interested in task 2.\nHost 7 is interested in task 9.\nHost 2 is interested in task 7.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 8.\nHost 1 is interested in task 3.\nHost 9 is interested in task 8.\nHost 6 is interested in task 7.\nHost 0 is interested in task 9.\nHost 2 is interested in task 5.\nHost 1 is interested in task 9.\nHost 8 is interested in task 6.\nHost 5 is interested in task 0.\nHost 6 is interested in task 3.\nHost 8 is interested in task 7.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph455", "image": "data/matching/graph_visual/hard/graph455.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 4 is interested in task 6.\nHost 9 is interested in task 2.\nHost 11 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 1.\nHost 8 is interested in task 7.\nHost 8 is interested in task 4.\nHost 10 is interested in task 7.\nHost 9 is interested in task 0.\nHost 5 is interested in task 5.\nHost 10 is interested in task 4.\nHost 6 is interested in task 9.\nHost 1 is interested in task 3.\nHost 6 is interested in task 6.\nHost 9 is interested in task 3.\nHost 8 is interested in task 8.\nHost 4 is interested in task 8.\nHost 9 is interested in task 1.\nHost 6 is interested in task 3.\nHost 4 is interested in task 7.\nHost 10 is interested in task 6.\nHost 4 is interested in task 2.\nHost 4 is interested in task 5.\nHost 2 is interested in task 7.\nHost 6 is interested in task 2.\nHost 9 is interested in task 9.\nHost 2 is interested in task 0.\nHost 8 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 9.\nHost 1 is interested in task 4.\nHost 2 is interested in task 2.\nHost 10 is interested in task 1.\nHost 2 is interested in task 6.\nHost 11 is interested in task 4.\nHost 7 is interested in task 7.\nHost 10 is interested in task 0.\nHost 0 is interested in task 8.\nHost 8 is interested in task 0.\nHost 6 is interested in task 7.\nHost 0 is interested in task 7.\nHost 3 is interested in task 3.\nHost 10 is interested in task 2.\nHost 0 is interested in task 6.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph896", "image": "data/matching/graph_visual/hard/graph896.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 6 is interested in task 11.\nHost 9 is interested in task 7.\nHost 2 is interested in task 7.\nHost 4 is interested in task 0.\nHost 13 is interested in task 5.\nHost 11 is interested in task 11.\nHost 4 is interested in task 6.\nHost 0 is interested in task 0.\nHost 8 is interested in task 1.\nHost 6 is interested in task 2.\nHost 1 is interested in task 3.\nHost 6 is interested in task 7.\nHost 2 is interested in task 10.\nHost 13 is interested in task 1.\nHost 5 is interested in task 10.\nHost 4 is interested in task 11.\nHost 9 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 9.\nHost 11 is interested in task 4.\nHost 3 is interested in task 3.\nHost 8 is interested in task 8.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 8.\nHost 9 is interested in task 2.\nHost 12 is interested in task 6.\nHost 12 is interested in task 9.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 12 is interested in task 0.\nHost 9 is interested in task 9.\nHost 12 is interested in task 2.\nHost 11 is interested in task 2.\nHost 11 is interested in task 8.\nHost 1 is interested in task 6.\nHost 13 is interested in task 0.\nHost 9 is interested in task 11.\nHost 1 is interested in task 7.\nHost 7 is interested in task 5.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 6 is interested in task 1.\nHost 8 is interested in task 0.\nHost 13 is interested in task 6.\nHost 0 is interested in task 7.\nHost 3 is interested in task 9.\nHost 10 is interested in task 4.\nHost 3 is interested in task 10.\nHost 6 is interested in task 10.\nHost 2 is interested in task 6.\nHost 4 is interested in task 1.\nHost 0 is interested in task 1.\nHost 8 is interested in task 2.\nHost 12 is interested in task 10.\nHost 4 is interested in task 5.\nHost 5 is interested in task 4.\nHost 8 is interested in task 10.\nHost 11 is interested in task 7.\nHost 0 is interested in task 4.\nHost 4 is interested in task 3.\nHost 11 is interested in task 1.\nHost 11 is interested in task 5.\nHost 9 is interested in task 10.\nHost 13 is interested in task 3.\nHost 7 is interested in task 3.\nHost 3 is interested in task 6.\nHost 11 is interested in task 6.\nHost 1 is interested in task 11.\nHost 9 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph919", "image": "data/matching/graph_visual/hard/graph919.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 3.\nHost 1 is interested in task 7.\nHost 5 is interested in task 12.\nHost 7 is interested in task 9.\nHost 6 is interested in task 9.\nHost 3 is interested in task 8.\nHost 2 is interested in task 6.\nHost 9 is interested in task 2.\nHost 7 is interested in task 8.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 12 is interested in task 7.\nHost 6 is interested in task 1.\nHost 11 is interested in task 10.\nHost 0 is interested in task 4.\nHost 11 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 10 is interested in task 5.\nHost 6 is interested in task 2.\nHost 4 is interested in task 0.\nHost 7 is interested in task 0.\nHost 1 is interested in task 2.\nHost 9 is interested in task 1.\nHost 2 is interested in task 3.\nHost 13 is interested in task 1.\nHost 4 is interested in task 1.\nHost 9 is interested in task 5.\nHost 0 is interested in task 9.\nHost 7 is interested in task 1.\nHost 13 is interested in task 4.\nHost 10 is interested in task 10.\nHost 2 is interested in task 10.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 12 is interested in task 3.\nHost 1 is interested in task 6.\nHost 11 is interested in task 11.\nHost 3 is interested in task 6.\nHost 6 is interested in task 3.\nHost 13 is interested in task 5.\nHost 3 is interested in task 10.\nHost 1 is interested in task 11.\nHost 8 is interested in task 7.\nHost 11 is interested in task 8.\nHost 7 is interested in task 4.\nHost 7 is interested in task 12.\nHost 7 is interested in task 7.\nHost 12 is interested in task 0.\nHost 10 is interested in task 6.\nHost 9 is interested in task 10.\nHost 10 is interested in task 11.\nHost 7 is interested in task 10.\nHost 12 is interested in task 2.\nHost 12 is interested in task 4.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 2 is interested in task 11.\nHost 7 is interested in task 6.\nHost 0 is interested in task 0.\nHost 12 is interested in task 11.\nHost 13 is interested in task 12.\nHost 2 is interested in task 1.\nHost 13 is interested in task 0.\nHost 8 is interested in task 6.\nHost 8 is interested in task 1.\nHost 1 is interested in task 5.\nHost 5 is interested in task 8.\nHost 8 is interested in task 10.\nHost 0 is interested in task 11.\nHost 10 is interested in task 9.\nHost 12 is interested in task 10.\nHost 11 is interested in task 0.\nHost 8 is interested in task 11.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 9 is interested in task 7.\nHost 1 is interested in task 10.\nHost 2 is interested in task 12.\nHost 11 is interested in task 7.\nHost 2 is interested in task 8.\nHost 7 is interested in task 11.\nHost 9 is interested in task 0.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 9 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1131", "image": "data/matching/graph_visual/hard/graph1131.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 11 is interested in task 10.\nHost 11 is interested in task 6.\nHost 10 is interested in task 10.\nHost 2 is interested in task 13.\nHost 0 is interested in task 12.\nHost 7 is interested in task 1.\nHost 5 is interested in task 8.\nHost 12 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 8.\nHost 8 is interested in task 1.\nHost 13 is interested in task 10.\nHost 0 is interested in task 10.\nHost 14 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 5.\nHost 12 is interested in task 0.\nHost 10 is interested in task 11.\nHost 8 is interested in task 11.\nHost 5 is interested in task 12.\nHost 5 is interested in task 1.\nHost 10 is interested in task 3.\nHost 13 is interested in task 2.\nHost 2 is interested in task 9.\nHost 1 is interested in task 0.\nHost 5 is interested in task 6.\nHost 6 is interested in task 7.\nHost 10 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 13.\nHost 7 is interested in task 5.\nHost 12 is interested in task 12.\nHost 9 is interested in task 3.\nHost 5 is interested in task 4.\nHost 9 is interested in task 11.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 0 is interested in task 8.\nHost 9 is interested in task 6.\nHost 14 is interested in task 1.\nHost 6 is interested in task 10.\nHost 0 is interested in task 1.\nHost 0 is interested in task 3.\nHost 12 is interested in task 5.\nHost 0 is interested in task 11.\nHost 3 is interested in task 2.\nHost 13 is interested in task 13.\nHost 5 is interested in task 3.\nHost 14 is interested in task 3.\nHost 0 is interested in task 6.\nHost 7 is interested in task 2.\nHost 1 is interested in task 12.\nHost 14 is interested in task 7.\nHost 7 is interested in task 9.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 11 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 11.\nHost 0 is interested in task 2.\nHost 13 is interested in task 7.\nHost 8 is interested in task 10.\nHost 8 is interested in task 9.\nHost 7 is interested in task 3.\nHost 6 is interested in task 5.\nHost 6 is interested in task 13.\nHost 12 is interested in task 11.\nHost 6 is interested in task 1.\nHost 14 is interested in task 10.\nHost 2 is interested in task 12.\nHost 4 is interested in task 10.\nHost 12 is interested in task 6.\nHost 11 is interested in task 4.\nHost 4 is interested in task 11.\nHost 9 is interested in task 7.\nHost 3 is interested in task 1.\nHost 2 is interested in task 8.\nHost 4 is interested in task 13.\nHost 1 is interested in task 11.\nHost 4 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph584", "image": "data/matching/graph_visual/hard/graph584.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 8 is interested in task 2.\nHost 8 is interested in task 4.\nHost 9 is interested in task 3.\nHost 10 is interested in task 13.\nHost 3 is interested in task 8.\nHost 10 is interested in task 5.\nHost 0 is interested in task 0.\nHost 9 is interested in task 4.\nHost 7 is interested in task 4.\nHost 2 is interested in task 1.\nHost 6 is interested in task 8.\nHost 6 is interested in task 11.\nHost 0 is interested in task 8.\nHost 3 is interested in task 4.\nHost 6 is interested in task 2.\nHost 11 is interested in task 8.\nHost 2 is interested in task 12.\nHost 1 is interested in task 5.\nHost 2 is interested in task 11.\nHost 2 is interested in task 7.\nHost 11 is interested in task 6.\nHost 0 is interested in task 7.\nHost 1 is interested in task 12.\nHost 6 is interested in task 5.\nHost 9 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 10.\nHost 3 is interested in task 6.\nHost 7 is interested in task 10.\nHost 1 is interested in task 9.\nHost 0 is interested in task 13.\nHost 3 is interested in task 13.\nHost 10 is interested in task 12.\nHost 7 is interested in task 9.\nHost 8 is interested in task 0.\nHost 8 is interested in task 3.\nHost 6 is interested in task 12.\nHost 0 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 13.\nHost 7 is interested in task 13.\nHost 2 is interested in task 9.\nHost 7 is interested in task 1.\nHost 6 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 10.\nHost 0 is interested in task 9.\nHost 10 is interested in task 4.\nHost 2 is interested in task 13.\nHost 11 is interested in task 7.\nHost 7 is interested in task 5.\nHost 4 is interested in task 1.\nHost 9 is interested in task 12.\nHost 8 is interested in task 11.\nHost 9 is interested in task 5.\nHost 7 is interested in task 6.\nHost 0 is interested in task 12.\nHost 11 is interested in task 12.\nHost 4 is interested in task 12.\nHost 2 is interested in task 10.\nHost 7 is interested in task 7.\nHost 4 is interested in task 6.\nHost 4 is interested in task 0.\nHost 2 is interested in task 8.\nHost 5 is interested in task 3.\nHost 6 is interested in task 4.\nHost 11 is interested in task 1.\nHost 10 is interested in task 10.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 8 is interested in task 1.\nHost 10 is interested in task 1.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 2.\nHost 11 is interested in task 3.\nHost 10 is interested in task 3.\nHost 3 is interested in task 9.\nHost 1 is interested in task 0.\nHost 5 is interested in task 12.\nHost 9 is interested in task 11.\nHost 9 is interested in task 13.\nHost 10 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph453", "image": "data/matching/graph_visual/hard/graph453.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 6 is interested in task 8.\nHost 10 is interested in task 6.\nHost 10 is interested in task 0.\nHost 11 is interested in task 7.\nHost 10 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5.\nHost 8 is interested in task 8.\nHost 4 is interested in task 3.\nHost 0 is interested in task 6.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 5 is interested in task 7.\nHost 11 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 9.\nHost 0 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 8.\nHost 9 is interested in task 8.\nHost 6 is interested in task 3.\nHost 0 is interested in task 2.\nHost 11 is interested in task 9.\nHost 3 is interested in task 8.\nHost 3 is interested in task 4.\nHost 6 is interested in task 7.\nHost 3 is interested in task 2.\nHost 8 is interested in task 9.\nHost 6 is interested in task 9.\nHost 9 is interested in task 1.\nHost 8 is interested in task 3.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 4 is interested in task 1.\nHost 10 is interested in task 8.\nHost 4 is interested in task 7.\nHost 0 is interested in task 1.\nHost 0 is interested in task 9.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph217", "image": "data/matching/graph_visual/hard/graph217.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 6 is interested in task 0.\nHost 7 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 5.\nHost 10 is interested in task 4.\nHost 6 is interested in task 1.\nHost 10 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 6.\nHost 6 is interested in task 5.\nHost 0 is interested in task 5.\nHost 10 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 4.\nHost 4 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 1.\nHost 10 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 9 is interested in task 2.\nHost 2 is interested in task 3.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 9 is interested in task 1.\nHost 7 is interested in task 5.\nHost 8 is interested in task 5.\nHost 9 is interested in task 0.\nHost 7 is interested in task 2.\nHost 5 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 4 is interested in task 0.\nHost 8 is interested in task 0.\nHost 6 is interested in task 7.\nHost 9 is interested in task 3.\nHost 7 is interested in task 1.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph595", "image": "data/matching/graph_visual/hard/graph595.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 0.\nHost 9 is interested in task 6.\nHost 8 is interested in task 8.\nHost 3 is interested in task 4.\nHost 3 is interested in task 12.\nHost 2 is interested in task 2.\nHost 7 is interested in task 5.\nHost 3 is interested in task 11.\nHost 9 is interested in task 3.\nHost 8 is interested in task 2.\nHost 6 is interested in task 6.\nHost 6 is interested in task 13.\nHost 5 is interested in task 12.\nHost 10 is interested in task 10.\nHost 10 is interested in task 13.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 5 is interested in task 10.\nHost 11 is interested in task 7.\nHost 0 is interested in task 3.\nHost 6 is interested in task 10.\nHost 7 is interested in task 13.\nHost 9 is interested in task 8.\nHost 7 is interested in task 11.\nHost 11 is interested in task 2.\nHost 8 is interested in task 4.\nHost 7 is interested in task 7.\nHost 8 is interested in task 11.\nHost 7 is interested in task 8.\nHost 10 is interested in task 4.\nHost 9 is interested in task 2.\nHost 8 is interested in task 10.\nHost 6 is interested in task 12.\nHost 6 is interested in task 11.\nHost 9 is interested in task 13.\nHost 1 is interested in task 4.\nHost 5 is interested in task 8.\nHost 10 is interested in task 7.\nHost 9 is interested in task 7.\nHost 3 is interested in task 10.\nHost 10 is interested in task 9.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 7 is interested in task 10.\nHost 5 is interested in task 11.\nHost 7 is interested in task 1.\nHost 9 is interested in task 9.\nHost 1 is interested in task 8.\nHost 1 is interested in task 13.\nHost 2 is interested in task 6.\nHost 0 is interested in task 8.\nHost 2 is interested in task 12.\nHost 11 is interested in task 12.\nHost 9 is interested in task 10.\nHost 6 is interested in task 3.\nHost 10 is interested in task 1.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph782", "image": "data/matching/graph_visual/hard/graph782.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 9.\nHost 4 is interested in task 10.\nHost 4 is interested in task 4.\nHost 10 is interested in task 14.\nHost 3 is interested in task 2.\nHost 8 is interested in task 5.\nHost 9 is interested in task 8.\nHost 12 is interested in task 0.\nHost 4 is interested in task 7.\nHost 6 is interested in task 9.\nHost 1 is interested in task 13.\nHost 3 is interested in task 14.\nHost 11 is interested in task 13.\nHost 2 is interested in task 12.\nHost 3 is interested in task 11.\nHost 8 is interested in task 7.\nHost 7 is interested in task 12.\nHost 4 is interested in task 3.\nHost 9 is interested in task 4.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 3 is interested in task 13.\nHost 9 is interested in task 12.\nHost 0 is interested in task 8.\nHost 2 is interested in task 4.\nHost 8 is interested in task 13.\nHost 11 is interested in task 7.\nHost 2 is interested in task 6.\nHost 11 is interested in task 8.\nHost 4 is interested in task 11.\nHost 9 is interested in task 7.\nHost 3 is interested in task 7.\nHost 10 is interested in task 1.\nHost 9 is interested in task 0.\nHost 9 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 9.\nHost 0 is interested in task 10.\nHost 4 is interested in task 2.\nHost 0 is interested in task 14.\nHost 11 is interested in task 2.\nHost 0 is interested in task 13.\nHost 6 is interested in task 6.\nHost 7 is interested in task 1.\nHost 4 is interested in task 12.\nHost 8 is interested in task 6.\nHost 7 is interested in task 7.\nHost 9 is interested in task 13.\nHost 3 is interested in task 0.\nHost 12 is interested in task 11.\nHost 6 is interested in task 7.\nHost 2 is interested in task 1.\nHost 9 is interested in task 14.\nHost 3 is interested in task 8.\nHost 5 is interested in task 10.\nHost 9 is interested in task 10.\nHost 1 is interested in task 7.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph907", "image": "data/matching/graph_visual/hard/graph907.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 11.\nHost 13 is interested in task 5.\nHost 3 is interested in task 10.\nHost 3 is interested in task 11.\nHost 7 is interested in task 7.\nHost 11 is interested in task 1.\nHost 11 is interested in task 9.\nHost 6 is interested in task 0.\nHost 9 is interested in task 2.\nHost 2 is interested in task 12.\nHost 10 is interested in task 3.\nHost 3 is interested in task 5.\nHost 0 is interested in task 6.\nHost 9 is interested in task 0.\nHost 2 is interested in task 3.\nHost 12 is interested in task 10.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 12 is interested in task 6.\nHost 7 is interested in task 0.\nHost 12 is interested in task 7.\nHost 2 is interested in task 10.\nHost 9 is interested in task 12.\nHost 11 is interested in task 11.\nHost 5 is interested in task 10.\nHost 3 is interested in task 2.\nHost 0 is interested in task 7.\nHost 8 is interested in task 9.\nHost 3 is interested in task 8.\nHost 11 is interested in task 2.\nHost 4 is interested in task 3.\nHost 13 is interested in task 10.\nHost 7 is interested in task 5.\nHost 10 is interested in task 5.\nHost 9 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 7.\nHost 2 is interested in task 6.\nHost 10 is interested in task 7.\nHost 3 is interested in task 4.\nHost 13 is interested in task 7.\nHost 10 is interested in task 8.\nHost 13 is interested in task 2.\nHost 5 is interested in task 7.\nHost 10 is interested in task 1.\nHost 13 is interested in task 0.\nHost 0 is interested in task 9.\nHost 7 is interested in task 11.\nHost 7 is interested in task 12.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4.\nHost 3 is interested in task 3.\nHost 12 is interested in task 0.\nHost 1 is interested in task 7.\nHost 7 is interested in task 10.\nHost 0 is interested in task 2.\nHost 8 is interested in task 12.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 5 is interested in task 4.\nHost 9 is interested in task 8.\nHost 9 is interested in task 11.\nHost 7 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph437", "image": "data/matching/graph_visual/hard/graph437.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 7.\nHost 6 is interested in task 3.\nHost 0 is interested in task 1.\nHost 6 is interested in task 8.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2.\nHost 10 is interested in task 5.\nHost 4 is interested in task 5.\nHost 1 is interested in task 5.\nHost 10 is interested in task 0.\nHost 2 is interested in task 5.\nHost 10 is interested in task 6.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 9 is interested in task 7.\nHost 0 is interested in task 4.\nHost 7 is interested in task 5.\nHost 0 is interested in task 2.\nHost 10 is interested in task 4.\nHost 6 is interested in task 0.\nHost 9 is interested in task 3.\nHost 10 is interested in task 2.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 10 is interested in task 3.\nHost 7 is interested in task 4.\nHost 11 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 0.\nHost 4 is interested in task 6.\nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 4 is interested in task 4.\nHost 8 is interested in task 7.\nHost 1 is interested in task 2.\nHost 10 is interested in task 1.\nHost 11 is interested in task 6.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 11 is interested in task 8.\nHost 9 is interested in task 5.\nHost 0 is interested in task 3.\nHost 5 is interested in task 4.\nHost 9 is interested in task 8.\nHost 7 is interested in task 2.\nHost 5 is interested in task 8.\nHost 10 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1108", "image": "data/matching/graph_visual/hard/graph1108.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 1 is interested in task 3.\nHost 6 is interested in task 4.\nHost 10 is interested in task 10.\nHost 9 is interested in task 5.\nHost 14 is interested in task 12.\nHost 12 is interested in task 2.\nHost 3 is interested in task 4.\nHost 11 is interested in task 9.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 6 is interested in task 6.\nHost 4 is interested in task 0.\nHost 4 is interested in task 4.\nHost 5 is interested in task 11.\nHost 12 is interested in task 9.\nHost 0 is interested in task 4.\nHost 5 is interested in task 8.\nHost 3 is interested in task 9.\nHost 12 is interested in task 12.\nHost 4 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 9.\nHost 2 is interested in task 0.\nHost 4 is interested in task 8.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 11 is interested in task 8.\nHost 14 is interested in task 5.\nHost 9 is interested in task 11.\nHost 8 is interested in task 6.\nHost 13 is interested in task 8.\nHost 3 is interested in task 8.\nHost 10 is interested in task 7.\nHost 13 is interested in task 5.\nHost 8 is interested in task 7.\nHost 14 is interested in task 6.\nHost 10 is interested in task 3.\nHost 7 is interested in task 11.\nHost 8 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 5.\nHost 2 is interested in task 10.\nHost 2 is interested in task 8.\nHost 10 is interested in task 8.\nHost 10 is interested in task 4.\nHost 11 is interested in task 1.\nHost 3 is interested in task 10.\nHost 8 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 2 is interested in task 2.\nHost 5 is interested in task 1.\nHost 6 is interested in task 11.\nHost 6 is interested in task 1.\nHost 1 is interested in task 10.\nHost 2 is interested in task 9.\nHost 7 is interested in task 9.\nHost 10 is interested in task 5.\nHost 13 is interested in task 7.\nHost 4 is interested in task 7.\nHost 0 is interested in task 12.\nHost 3 is interested in task 3.\nHost 14 is interested in task 4.\nHost 10 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 0.\nHost 0 is interested in task 1.\nHost 12 is interested in task 5.\nHost 1 is interested in task 0.\nHost 13 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph745", "image": "data/matching/graph_visual/hard/graph745.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 12.\nHost 10 is interested in task 6.\nHost 5 is interested in task 9.\nHost 3 is interested in task 8.\nHost 11 is interested in task 6.\nHost 6 is interested in task 5.\nHost 12 is interested in task 1.\nHost 3 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 10.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 12 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 10 is interested in task 4.\nHost 0 is interested in task 9.\nHost 4 is interested in task 12.\nHost 5 is interested in task 4.\nHost 6 is interested in task 1.\nHost 3 is interested in task 11.\nHost 0 is interested in task 8.\nHost 5 is interested in task 6.\nHost 8 is interested in task 12.\nHost 5 is interested in task 7.\nHost 2 is interested in task 2.\nHost 9 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 10.\nHost 6 is interested in task 7.\nHost 6 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 12.\nHost 12 is interested in task 3.\nHost 10 is interested in task 7.\nHost 12 is interested in task 4.\nHost 11 is interested in task 5.\nHost 8 is interested in task 2.\nHost 10 is interested in task 12.\nHost 7 is interested in task 6.\nHost 0 is interested in task 2.\nHost 9 is interested in task 12.\nHost 8 is interested in task 4.\nHost 8 is interested in task 1.\nHost 11 is interested in task 1.\nHost 12 is interested in task 5.\nHost 8 is interested in task 10.\nHost 11 is interested in task 8.\nHost 2 is interested in task 1.\nHost 4 is interested in task 11.\nHost 2 is interested in task 7.\nHost 9 is interested in task 2.\nHost 5 is interested in task 2.\nHost 4 is interested in task 4.\nHost 8 is interested in task 9.\nHost 11 is interested in task 0.\nHost 5 is interested in task 5.\nHost 2 is interested in task 11.\nHost 7 is interested in task 0.\nHost 2 is interested in task 12.\nHost 10 is interested in task 10.\nHost 0 is interested in task 12.\nHost 1 is interested in task 11.\nHost 8 is interested in task 5.\nHost 7 is interested in task 10.\nHost 9 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph313", "image": "data/matching/graph_visual/hard/graph313.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 2 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 1.\nHost 6 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 10.\nHost 0 is interested in task 9.\nHost 6 is interested in task 5.\nHost 6 is interested in task 9.\nHost 7 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 2.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 5 is interested in task 9.\nHost 6 is interested in task 1.\nHost 7 is interested in task 3.\nHost 6 is interested in task 4.\nHost 5 is interested in task 2.\nHost 5 is interested in task 5.\nHost 5 is interested in task 3.\nHost 8 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 10.\nHost 2 is interested in task 6.\nHost 10 is interested in task 2.\nHost 2 is interested in task 9.\nHost 8 is interested in task 7.\nHost 8 is interested in task 8.\nHost 9 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 4.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 8 is interested in task 10.\nHost 3 is interested in task 10.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 0 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 5.\nHost 10 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 10.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1162", "image": "data/matching/graph_visual/hard/graph1162.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 13.\nHost 13 is interested in task 4.\nHost 5 is interested in task 4.\nHost 10 is interested in task 9.\nHost 3 is interested in task 5.\nHost 6 is interested in task 13.\nHost 11 is interested in task 1.\nHost 13 is interested in task 13.\nHost 1 is interested in task 14.\nHost 1 is interested in task 12.\nHost 6 is interested in task 4.\nHost 12 is interested in task 11.\nHost 6 is interested in task 7.\nHost 13 is interested in task 3.\nHost 12 is interested in task 14.\nHost 7 is interested in task 5.\nHost 11 is interested in task 12.\nHost 6 is interested in task 3.\nHost 1 is interested in task 7.\nHost 7 is interested in task 12.\nHost 9 is interested in task 2.\nHost 7 is interested in task 3.\nHost 11 is interested in task 0.\nHost 3 is interested in task 6.\nHost 12 is interested in task 12.\nHost 14 is interested in task 7.\nHost 6 is interested in task 14.\nHost 5 is interested in task 0.\nHost 7 is interested in task 14.\nHost 14 is interested in task 2.\nHost 11 is interested in task 7.\nHost 5 is interested in task 2.\nHost 4 is interested in task 1.\nHost 11 is interested in task 10.\nHost 1 is interested in task 9.\nHost 13 is interested in task 7.\nHost 9 is interested in task 0.\nHost 2 is interested in task 6.\nHost 8 is interested in task 10.\nHost 14 is interested in task 6.\nHost 11 is interested in task 14.\nHost 11 is interested in task 4.\nHost 14 is interested in task 1.\nHost 5 is interested in task 14.\nHost 13 is interested in task 1.\nHost 3 is interested in task 14.\nHost 3 is interested in task 9.\nHost 1 is interested in task 2.\nHost 14 is interested in task 12.\nHost 8 is interested in task 8.\nHost 0 is interested in task 14.\nHost 3 is interested in task 4.\nHost 11 is interested in task 11.\nHost 0 is interested in task 3.\nHost 8 is interested in task 0.\nHost 12 is interested in task 10.\nHost 12 is interested in task 7.\nHost 14 is interested in task 4.\nHost 9 is interested in task 8.\nHost 3 is interested in task 13.\nHost 1 is interested in task 10.\nHost 11 is interested in task 5.\nHost 4 is interested in task 9.\nHost 7 is interested in task 7.\nHost 14 is interested in task 0.\nHost 7 is interested in task 0.\nHost 12 is interested in task 13.\nHost 12 is interested in task 0.\nHost 5 is interested in task 6.\nHost 12 is interested in task 9.\nHost 3 is interested in task 7.\nHost 1 is interested in task 6.\nHost 3 is interested in task 8.\nHost 6 is interested in task 10.\nHost 4 is interested in task 12.\nHost 5 is interested in task 11.\nHost 13 is interested in task 0.\nHost 3 is interested in task 0.\nHost 1 is interested in task 3.\nHost 14 is interested in task 5.\nHost 4 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 2.\nHost 14 is interested in task 10.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph62", "image": "data/matching/graph_visual/hard/graph62.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 7 is interested in task 0.\nHost 1 is interested in task 5.\nHost 2 is interested in task 3.\nHost 5 is interested in task 2.\nHost 6 is interested in task 6.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 1 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 3 is interested in task 0.\nHost 9 is interested in task 4.\nHost 9 is interested in task 0.\nHost 0 is interested in task 8.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 7 is interested in task 1.\nHost 9 is interested in task 8.\nHost 7 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 2.\nHost 7 is interested in task 2.\nHost 9 is interested in task 7.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 5.\nHost 0 is interested in task 2.\nHost 8 is interested in task 0.\nHost 4 is interested in task 6.\nHost 3 is interested in task 8.\nHost 5 is interested in task 8.\nHost 6 is interested in task 7.\nHost 6 is interested in task 3.\nHost 8 is interested in task 4.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 9 is interested in task 1.\nHost 8 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph124", "image": "data/matching/graph_visual/hard/graph124.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 9 is interested in task 2.\nHost 5 is interested in task 7.\nHost 5 is interested in task 6.\nHost 9 is interested in task 9.\nHost 3 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 2.\nHost 8 is interested in task 3.\nHost 8 is interested in task 1.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 4 is interested in task 7.\nHost 0 is interested in task 7.\nHost 0 is interested in task 5.\nHost 0 is interested in task 1.\nHost 0 is interested in task 10.\nHost 6 is interested in task 6.\nHost 0 is interested in task 3.\nHost 9 is interested in task 10.\nHost 8 is interested in task 4.\nHost 5 is interested in task 10.\nHost 2 is interested in task 4.\nHost 7 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 4 is interested in task 6.\nHost 7 is interested in task 7.\nHost 1 is interested in task 5.\nHost 4 is interested in task 10.\nHost 3 is interested in task 3.\nHost 7 is interested in task 9.\nHost 3 is interested in task 1.\nHost 2 is interested in task 10.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 8 is interested in task 10.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph938", "image": "data/matching/graph_visual/hard/graph938.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 11.\nHost 6 is interested in task 11.\nHost 6 is interested in task 0.\nHost 8 is interested in task 3.\nHost 8 is interested in task 5.\nHost 9 is interested in task 5.\nHost 3 is interested in task 0.\nHost 8 is interested in task 8.\nHost 7 is interested in task 9.\nHost 6 is interested in task 9.\nHost 6 is interested in task 12.\nHost 4 is interested in task 4.\nHost 0 is interested in task 3.\nHost 12 is interested in task 5.\nHost 10 is interested in task 13.\nHost 7 is interested in task 3.\nHost 11 is interested in task 9.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 11 is interested in task 3.\nHost 13 is interested in task 13.\nHost 9 is interested in task 13.\nHost 12 is interested in task 4.\nHost 7 is interested in task 2.\nHost 0 is interested in task 4.\nHost 4 is interested in task 13.\nHost 1 is interested in task 10.\nHost 2 is interested in task 10.\nHost 0 is interested in task 8.\nHost 2 is interested in task 9.\nHost 1 is interested in task 2.\nHost 13 is interested in task 6.\nHost 5 is interested in task 8.\nHost 12 is interested in task 0.\nHost 2 is interested in task 1.\nHost 12 is interested in task 6.\nHost 9 is interested in task 6.\nHost 1 is interested in task 7.\nHost 12 is interested in task 10.\nHost 0 is interested in task 13.\nHost 1 is interested in task 9.\nHost 4 is interested in task 10.\nHost 11 is interested in task 5.\nHost 8 is interested in task 13.\nHost 5 is interested in task 9.\nHost 13 is interested in task 10.\nHost 8 is interested in task 7.\nHost 4 is interested in task 11.\nHost 10 is interested in task 9.\nHost 10 is interested in task 10.\nHost 0 is interested in task 0.\nHost 12 is interested in task 9.\nHost 6 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 10.\nHost 13 is interested in task 8.\nHost 4 is interested in task 0.\nHost 7 is interested in task 4.\nHost 13 is interested in task 1.\nHost 6 is interested in task 13.\nHost 2 is interested in task 5.\nHost 8 is interested in task 2.\nHost 5 is interested in task 6.\nHost 10 is interested in task 11.\nHost 2 is interested in task 13.\nHost 12 is interested in task 7.\nHost 10 is interested in task 5.\nHost 13 is interested in task 2.\nHost 9 is interested in task 2.\nHost 2 is interested in task 11.\nHost 7 is interested in task 8.\nHost 10 is interested in task 6.\nHost 7 is interested in task 13.\nHost 3 is interested in task 1.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 12 is interested in task 12.\nHost 13 is interested in task 7.\nHost 10 is interested in task 0.\nHost 9 is interested in task 12.\nHost 6 is interested in task 2.\nHost 7 is interested in task 5.\nHost 0 is interested in task 2.\nHost 3 is interested in task 12.\nHost 13 is interested in task 5.\nHost 3 is interested in task 11.\nHost 5 is interested in task 7.\nHost 7 is interested in task 0.\nHost 5 is interested in task 0.\nHost 12 is interested in task 3.\nHost 1 is interested in task 8.\nHost 0 is interested in task 7.\nHost 11 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph407", "image": "data/matching/graph_visual/hard/graph407.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 9.\nHost 1 is interested in task 2.\nHost 7 is interested in task 9.\nHost 1 is interested in task 7.\nHost 0 is interested in task 0.\nHost 6 is interested in task 11.\nHost 1 is interested in task 8.\nHost 1 is interested in task 0.\nHost 0 is interested in task 8.\nHost 4 is interested in task 10.\nHost 1 is interested in task 4.\nHost 8 is interested in task 1.\nHost 8 is interested in task 5.\nHost 6 is interested in task 1.\nHost 1 is interested in task 3.\nHost 8 is interested in task 6.\nHost 0 is interested in task 1.\nHost 6 is interested in task 5.\nHost 6 is interested in task 7.\nHost 5 is interested in task 4.\nHost 9 is interested in task 7.\nHost 6 is interested in task 13.\nHost 3 is interested in task 12.\nHost 9 is interested in task 13.\nHost 0 is interested in task 11.\nHost 3 is interested in task 13.\nHost 6 is interested in task 12.\nHost 6 is interested in task 10.\nHost 2 is interested in task 3.\nHost 4 is interested in task 8.\nHost 5 is interested in task 12.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 10.\nHost 8 is interested in task 7.\nHost 10 is interested in task 10.\nHost 5 is interested in task 0.\nHost 9 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 7.\nHost 9 is interested in task 4.\nHost 9 is interested in task 6.\nHost 3 is interested in task 6.\nHost 6 is interested in task 8.\nHost 6 is interested in task 9.\nHost 1 is interested in task 1.\nHost 9 is interested in task 3.\nHost 0 is interested in task 3.\nHost 3 is interested in task 11.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 13.\nHost 9 is interested in task 9.\nHost 4 is interested in task 7.\nHost 8 is interested in task 4.\nHost 7 is interested in task 3.\nHost 1 is interested in task 10.\nHost 0 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph955", "image": "data/matching/graph_visual/hard/graph955.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 5 is interested in task 3.\nHost 12 is interested in task 6.\nHost 11 is interested in task 0.\nHost 8 is interested in task 3.\nHost 6 is interested in task 8.\nHost 11 is interested in task 5.\nHost 4 is interested in task 3.\nHost 5 is interested in task 0.\nHost 9 is interested in task 12.\nHost 5 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 11.\nHost 9 is interested in task 9.\nHost 3 is interested in task 2.\nHost 2 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 12.\nHost 3 is interested in task 13.\nHost 3 is interested in task 5.\nHost 13 is interested in task 12.\nHost 1 is interested in task 1.\nHost 10 is interested in task 8.\nHost 10 is interested in task 2.\nHost 12 is interested in task 10.\nHost 1 is interested in task 7.\nHost 6 is interested in task 10.\nHost 5 is interested in task 8.\nHost 11 is interested in task 13.\nHost 0 is interested in task 3.\nHost 8 is interested in task 13.\nHost 10 is interested in task 6.\nHost 5 is interested in task 10.\nHost 0 is interested in task 1.\nHost 12 is interested in task 11.\nHost 13 is interested in task 8.\nHost 1 is interested in task 11.\nHost 8 is interested in task 10.\nHost 3 is interested in task 0.\nHost 1 is interested in task 13.\nHost 1 is interested in task 2.\nHost 3 is interested in task 9.\nHost 7 is interested in task 8.\nHost 11 is interested in task 7.\nHost 13 is interested in task 5.\nHost 5 is interested in task 7.\nHost 12 is interested in task 8.\nHost 5 is interested in task 4.\nHost 1 is interested in task 8.\nHost 12 is interested in task 5.\nHost 5 is interested in task 9.\nHost 12 is interested in task 7.\nHost 4 is interested in task 1.\nHost 8 is interested in task 12.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 3 is interested in task 10.\nHost 4 is interested in task 0.\nHost 13 is interested in task 4.\nHost 8 is interested in task 8.\nHost 1 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 0.\nHost 6 is interested in task 5.\nHost 4 is interested in task 11.\nHost 8 is interested in task 7.\nHost 6 is interested in task 9.\nHost 11 is interested in task 4.\nHost 4 is interested in task 8.\nHost 9 is interested in task 3.\nHost 7 is interested in task 4.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph34", "image": "data/matching/graph_visual/hard/graph34.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 5 is interested in task 5.\nHost 4 is interested in task 7.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 9 is interested in task 0.\nHost 8 is interested in task 4.\nHost 0 is interested in task 3.\nHost 8 is interested in task 3.\nHost 9 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 6 is interested in task 6.\nHost 6 is interested in task 5.\nHost 1 is interested in task 1.\nHost 0 is interested in task 1.\nHost 2 is interested in task 7.\nHost 1 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 8 is interested in task 5.\nHost 0 is interested in task 7.\nHost 9 is interested in task 6.\nHost 7 is interested in task 4.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1196", "image": "data/matching/graph_visual/hard/graph1196.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 7.\nHost 4 is interested in task 0.\nHost 2 is interested in task 14.\nHost 1 is interested in task 0.\nHost 1 is interested in task 7.\nHost 2 is interested in task 13.\nHost 2 is interested in task 1.\nHost 2 is interested in task 6.\nHost 14 is interested in task 2.\nHost 6 is interested in task 0.\nHost 2 is interested in task 9.\nHost 14 is interested in task 6.\nHost 4 is interested in task 9.\nHost 0 is interested in task 12.\nHost 6 is interested in task 2.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 12 is interested in task 15.\nHost 3 is interested in task 1.\nHost 3 is interested in task 13.\nHost 8 is interested in task 8.\nHost 0 is interested in task 2.\nHost 9 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 14.\nHost 0 is interested in task 5.\nHost 6 is interested in task 14.\nHost 9 is interested in task 9.\nHost 2 is interested in task 5.\nHost 11 is interested in task 10.\nHost 12 is interested in task 8.\nHost 0 is interested in task 14.\nHost 2 is interested in task 10.\nHost 6 is interested in task 1.\nHost 13 is interested in task 6.\nHost 0 is interested in task 3.\nHost 7 is interested in task 5.\nHost 12 is interested in task 3.\nHost 11 is interested in task 7.\nHost 1 is interested in task 9.\nHost 11 is interested in task 11.\nHost 13 is interested in task 3.\nHost 9 is interested in task 12.\nHost 9 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 3.\nHost 3 is interested in task 6.\nHost 7 is interested in task 4.\nHost 2 is interested in task 4.\nHost 6 is interested in task 13.\nHost 2 is interested in task 8.\nHost 10 is interested in task 0.\nHost 12 is interested in task 10.\nHost 3 is interested in task 7.\nHost 0 is interested in task 11.\nHost 8 is interested in task 0.\nHost 3 is interested in task 3.\nHost 14 is interested in task 12.\nHost 3 is interested in task 12.\nHost 13 is interested in task 1.\nHost 14 is interested in task 5.\nHost 1 is interested in task 10.\nHost 12 is interested in task 2.\nHost 9 is interested in task 14.\nHost 9 is interested in task 4.\nHost 2 is interested in task 7.\nHost 9 is interested in task 15.\nHost 4 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 13.\nHost 7 is interested in task 11.\nHost 12 is interested in task 0.\nHost 10 is interested in task 7.\nHost 9 is interested in task 11.\nHost 1 is interested in task 14.\nHost 13 is interested in task 14.\nHost 6 is interested in task 9.\nHost 7 is interested in task 8.\nHost 7 is interested in task 6.\nHost 6 is interested in task 6.\nHost 3 is interested in task 10.\nHost 7 is interested in task 1.\nHost 11 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph633", "image": "data/matching/graph_visual/hard/graph633.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 0 is interested in task 7.\nHost 5 is interested in task 3.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 9 is interested in task 3.\nHost 7 is interested in task 8.\nHost 7 is interested in task 5.\nHost 1 is interested in task 8.\nHost 1 is interested in task 7.\nHost 1 is interested in task 6.\nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 8.\nHost 8 is interested in task 0.\nHost 5 is interested in task 9.\nHost 6 is interested in task 8.\nHost 9 is interested in task 1.\nHost 9 is interested in task 7.\nHost 7 is interested in task 6.\nHost 0 is interested in task 2.\nHost 4 is interested in task 9.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 5 is interested in task 5.\nHost 7 is interested in task 3.\nHost 4 is interested in task 3.\nHost 5 is interested in task 8.\nHost 7 is interested in task 0.\nHost 7 is interested in task 4.\nHost 6 is interested in task 7.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 7 is interested in task 1.\nHost 2 is interested in task 5.\nHost 9 is interested in task 6.\nHost 9 is interested in task 5.\nHost 5 is interested in task 4.\nHost 10 is interested in task 2.\nHost 8 is interested in task 6.\nHost 3 is interested in task 1.\nHost 10 is interested in task 5.\nHost 1 is interested in task 4.\nHost 0 is interested in task 9.\nHost 0 is interested in task 6.\nHost 10 is interested in task 8.\nHost 0 is interested in task 1.\nHost 11 is interested in task 3.\nHost 10 is interested in task 6.\nHost 5 is interested in task 7.\nHost 3 is interested in task 9.\nHost 10 is interested in task 1.\nHost 11 is interested in task 8.\nHost 3 is interested in task 5.\nHost 0 is interested in task 0.\nHost 6 is interested in task 5.\nHost 8 is interested in task 5.\nHost 10 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph329", "image": "data/matching/graph_visual/hard/graph329.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 9.\nHost 4 is interested in task 4.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 1.\nHost 3 is interested in task 9.\nHost 5 is interested in task 3.\nHost 0 is interested in task 8.\nHost 7 is interested in task 0.\nHost 0 is interested in task 7.\nHost 7 is interested in task 9.\nHost 2 is interested in task 0.\nHost 6 is interested in task 7.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 10 is interested in task 10.\nHost 8 is interested in task 10.\nHost 9 is interested in task 0.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 8 is interested in task 1.\nHost 8 is interested in task 5.\nHost 1 is interested in task 8.\nHost 6 is interested in task 6.\nHost 5 is interested in task 5.\nHost 8 is interested in task 3.\nHost 7 is interested in task 8.\nHost 2 is interested in task 10.\nHost 8 is interested in task 7.\nHost 3 is interested in task 0.\nHost 1 is interested in task 10.\nHost 8 is interested in task 4.\nHost 6 is interested in task 10.\nHost 1 is interested in task 4.\nHost 5 is interested in task 10.\nHost 3 is interested in task 2.\nHost 6 is interested in task 2.\nHost 9 is interested in task 8.\nHost 10 is interested in task 1.\nHost 10 is interested in task 6.\nHost 3 is interested in task 1.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph443", "image": "data/matching/graph_visual/hard/graph443.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 11 is interested in task 1.\nHost 11 is interested in task 7.\nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 4 is interested in task 5.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 7 is interested in task 0.\nHost 8 is interested in task 5.\nHost 8 is interested in task 4.\nHost 2 is interested in task 3.\nHost 11 is interested in task 2.\nHost 10 is interested in task 5.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 6 is interested in task 0.\nHost 4 is interested in task 7.\nHost 10 is interested in task 4.\nHost 11 is interested in task 3.\nHost 10 is interested in task 6.\nHost 4 is interested in task 8.\nHost 8 is interested in task 2.\nHost 8 is interested in task 6.\nHost 9 is interested in task 4.\nHost 3 is interested in task 3.\nHost 11 is interested in task 4.\nHost 11 is interested in task 5.\nHost 1 is interested in task 5.\nHost 4 is interested in task 4.\nHost 11 is interested in task 0.\nHost 0 is interested in task 3.\nHost 6 is interested in task 6.\nHost 10 is interested in task 1.\nHost 10 is interested in task 3.\nHost 0 is interested in task 5.\nHost 2 is interested in task 5.\nHost 0 is interested in task 8.\nHost 1 is interested in task 8.\nHost 5 is interested in task 7.\nHost 6 is interested in task 3.\nHost 10 is interested in task 0.\nHost 1 is interested in task 0.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 10 is interested in task 8.\nHost 3 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 3.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph535", "image": "data/matching/graph_visual/hard/graph535.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 3 is interested in task 6.\nHost 5 is interested in task 6.\nHost 8 is interested in task 5.\nHost 3 is interested in task 9.\nHost 3 is interested in task 5.\nHost 3 is interested in task 2.\nHost 4 is interested in task 3.\nHost 11 is interested in task 10.\nHost 3 is interested in task 8.\nHost 7 is interested in task 10.\nHost 11 is interested in task 8.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 10 is interested in task 0.\nHost 2 is interested in task 9.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 6 is interested in task 8.\nHost 2 is interested in task 11.\nHost 8 is interested in task 10.\nHost 11 is interested in task 3.\nHost 5 is interested in task 10.\nHost 5 is interested in task 5.\nHost 2 is interested in task 7.\nHost 8 is interested in task 11.\nHost 10 is interested in task 10.\nHost 4 is interested in task 4.\nHost 4 is interested in task 1.\nHost 3 is interested in task 10.\nHost 9 is interested in task 5.\nHost 5 is interested in task 8.\nHost 6 is interested in task 6.\nHost 11 is interested in task 1.\nHost 9 is interested in task 11.\nHost 1 is interested in task 11.\nHost 2 is interested in task 10.\nHost 2 is interested in task 5.\nHost 0 is interested in task 0.\nHost 7 is interested in task 3.\nHost 7 is interested in task 5.\nHost 11 is interested in task 4.\nHost 11 is interested in task 11.\nHost 4 is interested in task 2.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 10.\nHost 4 is interested in task 5.\nHost 1 is interested in task 8.\nHost 0 is interested in task 1.\nHost 2 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 9.\nHost 0 is interested in task 11.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph909", "image": "data/matching/graph_visual/hard/graph909.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 10.\nHost 6 is interested in task 5.\nHost 2 is interested in task 11.\nHost 0 is interested in task 2.\nHost 9 is interested in task 8.\nHost 6 is interested in task 7.\nHost 13 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0.\nHost 9 is interested in task 5.\nHost 0 is interested in task 6.\nHost 6 is interested in task 6.\nHost 11 is interested in task 3.\nHost 5 is interested in task 3.\nHost 6 is interested in task 10.\nHost 13 is interested in task 4.\nHost 3 is interested in task 12.\nHost 7 is interested in task 0.\nHost 6 is interested in task 8.\nHost 7 is interested in task 9.\nHost 9 is interested in task 10.\nHost 5 is interested in task 10.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 1 is interested in task 8.\nHost 2 is interested in task 2.\nHost 3 is interested in task 7.\nHost 10 is interested in task 9.\nHost 9 is interested in task 7.\nHost 11 is interested in task 0.\nHost 11 is interested in task 11.\nHost 11 is interested in task 12.\nHost 13 is interested in task 11.\nHost 9 is interested in task 0.\nHost 10 is interested in task 6.\nHost 7 is interested in task 7.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 8.\nHost 6 is interested in task 4.\nHost 12 is interested in task 5.\nHost 3 is interested in task 6.\nHost 9 is interested in task 9.\nHost 6 is interested in task 0.\nHost 1 is interested in task 6.\nHost 12 is interested in task 1.\nHost 7 is interested in task 4.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 13 is interested in task 1.\nHost 5 is interested in task 12.\nHost 1 is interested in task 11.\nHost 13 is interested in task 12.\nHost 7 is interested in task 5.\nHost 4 is interested in task 3.\nHost 13 is interested in task 10.\nHost 2 is interested in task 9.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 6 is interested in task 12.\nHost 7 is interested in task 8.\nHost 9 is interested in task 3.\nHost 8 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 10.\nHost 1 is interested in task 4.\nHost 3 is interested in task 11.\nHost 9 is interested in task 4.\nHost 5 is interested in task 4.\nHost 12 is interested in task 2.\nHost 1 is interested in task 7.\nHost 6 is interested in task 1.\nHost 1 is interested in task 9.\nHost 6 is interested in task 11.\nHost 9 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph181", "image": "data/matching/graph_visual/hard/graph181.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 9.\nHost 4 is interested in task 7.\nHost 2 is interested in task 11.\nHost 0 is interested in task 4.\nHost 7 is interested in task 7.\nHost 3 is interested in task 12.\nHost 8 is interested in task 1.\nHost 8 is interested in task 8.\nHost 4 is interested in task 9.\nHost 8 is interested in task 9.\nHost 0 is interested in task 5.\nHost 8 is interested in task 5.\nHost 7 is interested in task 6.\nHost 4 is interested in task 12.\nHost 8 is interested in task 4.\nHost 4 is interested in task 10.\nHost 0 is interested in task 3.\nHost 1 is interested in task 12.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 6 is interested in task 11.\nHost 2 is interested in task 6.\nHost 2 is interested in task 2.\nHost 5 is interested in task 10.\nHost 6 is interested in task 12.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 3 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 12.\nHost 7 is interested in task 11.\nHost 8 is interested in task 10.\nHost 6 is interested in task 1.\nHost 3 is interested in task 9.\nHost 8 is interested in task 12.\nHost 8 is interested in task 7.\nHost 0 is interested in task 9.\nHost 8 is interested in task 6.\nHost 3 is interested in task 10.\nHost 1 is interested in task 1.\nHost 4 is interested in task 3.\nHost 7 is interested in task 2.\nHost 8 is interested in task 11.\nHost 7 is interested in task 10.\nHost 9 is interested in task 9.\nHost 9 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 9 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1112", "image": "data/matching/graph_visual/hard/graph1112.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 2 is interested in task 6.\nHost 13 is interested in task 12.\nHost 0 is interested in task 4.\nHost 6 is interested in task 11.\nHost 11 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 2.\nHost 9 is interested in task 5.\nHost 7 is interested in task 13.\nHost 12 is interested in task 8.\nHost 8 is interested in task 8.\nHost 5 is interested in task 13.\nHost 4 is interested in task 1.\nHost 9 is interested in task 13.\nHost 1 is interested in task 6.\nHost 9 is interested in task 3.\nHost 6 is interested in task 7.\nHost 12 is interested in task 5.\nHost 4 is interested in task 12.\nHost 14 is interested in task 3.\nHost 10 is interested in task 6.\nHost 11 is interested in task 13.\nHost 4 is interested in task 11.\nHost 12 is interested in task 3.\nHost 9 is interested in task 12.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 14 is interested in task 10.\nHost 11 is interested in task 11.\nHost 8 is interested in task 13.\nHost 3 is interested in task 9.\nHost 5 is interested in task 11.\nHost 5 is interested in task 3.\nHost 12 is interested in task 1.\nHost 10 is interested in task 8.\nHost 2 is interested in task 12.\nHost 9 is interested in task 10.\nHost 5 is interested in task 0.\nHost 7 is interested in task 11.\nHost 10 is interested in task 4.\nHost 7 is interested in task 9.\nHost 12 is interested in task 13.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 10 is interested in task 12.\nHost 7 is interested in task 8.\nHost 1 is interested in task 7.\nHost 5 is interested in task 2.\nHost 0 is interested in task 2.\nHost 1 is interested in task 12.\nHost 13 is interested in task 8.\nHost 9 is interested in task 4.\nHost 11 is interested in task 4.\nHost 1 is interested in task 11.\nHost 10 is interested in task 7.\nHost 4 is interested in task 13.\nHost 0 is interested in task 9.\nHost 13 is interested in task 10.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 9.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 1 is interested in task 5.\nHost 1 is interested in task 8.\nHost 8 is interested in task 1.\nHost 8 is interested in task 6.\nHost 1 is interested in task 10.\nHost 7 is interested in task 5.\nHost 12 is interested in task 12.\nHost 12 is interested in task 6.\nHost 6 is interested in task 13.\nHost 0 is interested in task 1.\nHost 10 is interested in task 11.\nHost 14 is interested in task 4.\nHost 14 is interested in task 11.\nHost 6 is interested in task 12.\nHost 8 is interested in task 5.\nHost 8 is interested in task 10.\nHost 5 is interested in task 8.\nHost 4 is interested in task 9.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph27", "image": "data/matching/graph_visual/hard/graph27.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 6 is interested in task 5.\nHost 2 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 1.\nHost 5 is interested in task 2.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 1.\nHost 8 is interested in task 2.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 8 is interested in task 4.\nHost 9 is interested in task 0.\nHost 4 is interested in task 3.\nHost 8 is interested in task 0.\nHost 5 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 7 is interested in task 4.\nHost 0 is interested in task 2.\nHost 9 is interested in task 4.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 4.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 4 is interested in task 0.\nHost 9 is interested in task 1.\nHost 9 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph646", "image": "data/matching/graph_visual/hard/graph646.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 2.\nHost 12 is interested in task 1.\nHost 6 is interested in task 1.\nHost 7 is interested in task 9.\nHost 11 is interested in task 8.\nHost 3 is interested in task 9.\nHost 12 is interested in task 3.\nHost 9 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 7 is interested in task 7.\nHost 0 is interested in task 6.\nHost 8 is interested in task 1.\nHost 1 is interested in task 2.\nHost 2 is interested in task 7.\nHost 3 is interested in task 5.\nHost 5 is interested in task 9.\nHost 11 is interested in task 3.\nHost 1 is interested in task 8.\nHost 1 is interested in task 0.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 9 is interested in task 7.\nHost 6 is interested in task 9.\nHost 2 is interested in task 5.\nHost 10 is interested in task 8.\nHost 1 is interested in task 7.\nHost 5 is interested in task 7.\nHost 5 is interested in task 1.\nHost 3 is interested in task 2.\nHost 9 is interested in task 4.\nHost 1 is interested in task 5.\nHost 9 is interested in task 9.\nHost 6 is interested in task 6.\nHost 10 is interested in task 7.\nHost 12 is interested in task 7.\nHost 11 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4.\nHost 6 is interested in task 7.\nHost 9 is interested in task 3.\nHost 1 is interested in task 4.\nHost 11 is interested in task 4.\nHost 11 is interested in task 6.\nHost 10 is interested in task 0.\nHost 8 is interested in task 2.\nHost 11 is interested in task 9.\nHost 4 is interested in task 4.\nHost 10 is interested in task 5.\nHost 8 is interested in task 4.\nHost 11 is interested in task 1.\nHost 2 is interested in task 6.\nHost 10 is interested in task 9.\nHost 10 is interested in task 4.\nHost 10 is interested in task 6.\nHost 8 is interested in task 8.\nHost 3 is interested in task 7.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph816", "image": "data/matching/graph_visual/hard/graph816.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 9 is interested in task 15.\nHost 2 is interested in task 6.\nHost 3 is interested in task 7.\nHost 8 is interested in task 6.\nHost 8 is interested in task 9.\nHost 2 is interested in task 11.\nHost 5 is interested in task 14.\nHost 12 is interested in task 13.\nHost 8 is interested in task 10.\nHost 3 is interested in task 15.\nHost 0 is interested in task 15.\nHost 2 is interested in task 13.\nHost 7 is interested in task 1.\nHost 5 is interested in task 11.\nHost 12 is interested in task 6.\nHost 9 is interested in task 9.\nHost 3 is interested in task 11.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 14.\nHost 0 is interested in task 5.\nHost 10 is interested in task 14.\nHost 0 is interested in task 7.\nHost 7 is interested in task 11.\nHost 8 is interested in task 12.\nHost 11 is interested in task 6.\nHost 5 is interested in task 12.\nHost 5 is interested in task 13.\nHost 8 is interested in task 0.\nHost 9 is interested in task 7.\nHost 6 is interested in task 13.\nHost 11 is interested in task 3.\nHost 7 is interested in task 6.\nHost 2 is interested in task 14.\nHost 0 is interested in task 8.\nHost 7 is interested in task 7.\nHost 9 is interested in task 11.\nHost 8 is interested in task 4.\nHost 3 is interested in task 3.\nHost 7 is interested in task 8.\nHost 4 is interested in task 8.\nHost 3 is interested in task 2.\nHost 1 is interested in task 13.\nHost 0 is interested in task 10.\nHost 10 is interested in task 15.\nHost 11 is interested in task 12.\nHost 10 is interested in task 6.\nHost 11 is interested in task 11.\nHost 0 is interested in task 11.\nHost 7 is interested in task 13.\nHost 8 is interested in task 7.\nHost 12 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 12.\nHost 2 is interested in task 10.\nHost 1 is interested in task 1.\nHost 7 is interested in task 0.\nHost 4 is interested in task 13.\nHost 7 is interested in task 3.\nHost 1 is interested in task 11.\nHost 7 is interested in task 9.\nHost 6 is interested in task 12.\nHost 11 is interested in task 15.\nHost 2 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 13.\nHost 10 is interested in task 8.\nHost 6 is interested in task 8.\nHost 9 is interested in task 14.\nHost 6 is interested in task 10.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 3 is interested in task 9.\nHost 5 is interested in task 5.\nHost 1 is interested in task 12.\nHost 2 is interested in task 12.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 10 is interested in task 9.\nHost 9 is interested in task 13.\nHost 3 is interested in task 4.\nHost 8 is interested in task 11.\nHost 1 is interested in task 6.\nHost 10 is interested in task 5.\nHost 7 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1225", "image": "data/matching/graph_visual/hard/graph1225.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 12.\nHost 2 is interested in task 6.\nHost 1 is interested in task 8.\nHost 3 is interested in task 9.\nHost 0 is interested in task 15.\nHost 6 is interested in task 15.\nHost 3 is interested in task 15.\nHost 2 is interested in task 0.\nHost 8 is interested in task 2.\nHost 10 is interested in task 4.\nHost 0 is interested in task 9.\nHost 8 is interested in task 6.\nHost 4 is interested in task 6.\nHost 2 is interested in task 8.\nHost 0 is interested in task 7.\nHost 14 is interested in task 1.\nHost 6 is interested in task 8.\nHost 9 is interested in task 16.\nHost 6 is interested in task 7.\nHost 12 is interested in task 11.\nHost 6 is interested in task 5.\nHost 12 is interested in task 6.\nHost 8 is interested in task 1.\nHost 8 is interested in task 12.\nHost 0 is interested in task 6.\nHost 3 is interested in task 0.\nHost 14 is interested in task 15.\nHost 0 is interested in task 16.\nHost 3 is interested in task 14.\nHost 10 is interested in task 10.\nHost 9 is interested in task 3.\nHost 4 is interested in task 11.\nHost 13 is interested in task 12.\nHost 0 is interested in task 5.\nHost 0 is interested in task 13.\nHost 12 is interested in task 1.\nHost 10 is interested in task 9.\nHost 0 is interested in task 3.\nHost 3 is interested in task 13.\nHost 3 is interested in task 4.\nHost 9 is interested in task 13.\nHost 9 is interested in task 2.\nHost 1 is interested in task 5.\nHost 11 is interested in task 11.\nHost 7 is interested in task 16.\nHost 4 is interested in task 5.\nHost 6 is interested in task 10.\nHost 13 is interested in task 2.\nHost 10 is interested in task 13.\nHost 8 is interested in task 13.\nHost 7 is interested in task 6.\nHost 13 is interested in task 4.\nHost 10 is interested in task 14.\nHost 3 is interested in task 6.\nHost 5 is interested in task 11.\nHost 2 is interested in task 14.\nHost 3 is interested in task 7.\nHost 8 is interested in task 4.\nHost 2 is interested in task 5.\nHost 9 is interested in task 11.\nHost 8 is interested in task 5.\nHost 4 is interested in task 7.\nHost 6 is interested in task 3.\nHost 8 is interested in task 9.\nHost 12 is interested in task 16.\nHost 12 is interested in task 8.\nHost 7 is interested in task 4.\nHost 10 is interested in task 3.\nHost 8 is interested in task 11.\nHost 6 is interested in task 1.\nHost 11 is interested in task 4.\nHost 5 is interested in task 7.\nHost 3 is interested in task 10.\nHost 6 is interested in task 11.\nHost 3 is interested in task 16.\nHost 6 is interested in task 14.\nHost 10 is interested in task 12.\nHost 9 is interested in task 14.\nHost 0 is interested in task 12.\nHost 4 is interested in task 2.\nHost 4 is interested in task 12.\nHost 13 is interested in task 8.\nHost 6 is interested in task 4.\nHost 14 is interested in task 10.\nHost 6 is interested in task 0.\nHost 12 is interested in task 10.\nHost 6 is interested in task 9.\nHost 7 is interested in task 13.\nHost 9 is interested in task 12.\nHost 14 is interested in task 8.\nHost 0 is interested in task 0.\nHost 10 is interested in task 6.\nHost 9 is interested in task 8.\nHost 9 is interested in task 6.\nHost 0 is interested in task 10.\nHost 1 is interested in task 16.\nHost 10 is interested in task 11.\nHost 0 is interested in task 14.\nHost 14 is interested in task 9.\nHost 11 is interested in task 15.\nHost 4 is interested in task 0.\nHost 4 is interested in task 8.\nHost 9 is interested in task 7.\nHost 14 is interested in task 12.\nHost 0 is interested in task 8.\nHost 11 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph491", "image": "data/matching/graph_visual/hard/graph491.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 8 is interested in task 10.\nHost 9 is interested in task 6.\nHost 5 is interested in task 7.\nHost 0 is interested in task 6.\nHost 3 is interested in task 2.\nHost 6 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 10.\nHost 1 is interested in task 9.\nHost 8 is interested in task 0.\nHost 8 is interested in task 7.\nHost 9 is interested in task 0.\nHost 10 is interested in task 6.\nHost 0 is interested in task 4.\nHost 3 is interested in task 3.\nHost 7 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 7.\nHost 7 is interested in task 8.\nHost 1 is interested in task 3.\nHost 1 is interested in task 10.\nHost 5 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 2.\nHost 7 is interested in task 1.\nHost 3 is interested in task 6.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 6 is interested in task 9.\nHost 1 is interested in task 5.\nHost 1 is interested in task 0.\nHost 0 is interested in task 9.\nHost 7 is interested in task 10.\nHost 9 is interested in task 2.\nHost 8 is interested in task 3.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 11 is interested in task 6.\nHost 11 is interested in task 8.\nHost 11 is interested in task 9.\nHost 8 is interested in task 2.\nHost 8 is interested in task 4.\nHost 0 is interested in task 3.\nHost 10 is interested in task 4.\nHost 0 is interested in task 5.\nHost 0 is interested in task 0.\nHost 4 is interested in task 7.\nHost 5 is interested in task 3.\nHost 3 is interested in task 1.\nHost 11 is interested in task 2.\nHost 9 is interested in task 7.\nHost 4 is interested in task 10.\nHost 11 is interested in task 4.\nHost 1 is interested in task 1.\nHost 11 is interested in task 3.\nHost 0 is interested in task 8.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1189", "image": "data/matching/graph_visual/hard/graph1189.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 0.\nHost 13 is interested in task 8.\nHost 5 is interested in task 5.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 4 is interested in task 5.\nHost 0 is interested in task 8.\nHost 8 is interested in task 12.\nHost 12 is interested in task 14.\nHost 5 is interested in task 14.\nHost 12 is interested in task 4.\nHost 2 is interested in task 12.\nHost 11 is interested in task 11.\nHost 13 is interested in task 11.\nHost 1 is interested in task 10.\nHost 2 is interested in task 0.\nHost 6 is interested in task 6.\nHost 2 is interested in task 6.\nHost 3 is interested in task 1.\nHost 11 is interested in task 12.\nHost 11 is interested in task 15.\nHost 9 is interested in task 5.\nHost 13 is interested in task 10.\nHost 2 is interested in task 11.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 4 is interested in task 7.\nHost 14 is interested in task 10.\nHost 11 is interested in task 7.\nHost 10 is interested in task 3.\nHost 9 is interested in task 9.\nHost 11 is interested in task 3.\nHost 12 is interested in task 0.\nHost 3 is interested in task 6.\nHost 8 is interested in task 15.\nHost 2 is interested in task 5.\nHost 5 is interested in task 6.\nHost 2 is interested in task 1.\nHost 9 is interested in task 4.\nHost 8 is interested in task 7.\nHost 7 is interested in task 2.\nHost 13 is interested in task 0.\nHost 1 is interested in task 8.\nHost 0 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 13.\nHost 5 is interested in task 7.\nHost 1 is interested in task 1.\nHost 9 is interested in task 8.\nHost 11 is interested in task 6.\nHost 13 is interested in task 4.\nHost 0 is interested in task 11.\nHost 9 is interested in task 12.\nHost 10 is interested in task 7.\nHost 10 is interested in task 11.\nHost 11 is interested in task 2.\nHost 5 is interested in task 12.\nHost 9 is interested in task 10.\nHost 8 is interested in task 14.\nHost 13 is interested in task 3.\nHost 13 is interested in task 7.\nHost 12 is interested in task 3.\nHost 4 is interested in task 11.\nHost 3 is interested in task 3.\nHost 6 is interested in task 11.\nHost 5 is interested in task 4.\nHost 0 is interested in task 3.\nHost 0 is interested in task 6.\nHost 1 is interested in task 2.\nHost 13 is interested in task 5.\nHost 12 is interested in task 7.\nHost 12 is interested in task 9.\nHost 0 is interested in task 1.\nHost 4 is interested in task 13.\nHost 14 is interested in task 4.\nHost 3 is interested in task 9.\nHost 7 is interested in task 5.\nHost 8 is interested in task 10.\nHost 4 is interested in task 9.\nHost 11 is interested in task 14.\nHost 9 is interested in task 13.\nHost 12 is interested in task 11.\nHost 2 is interested in task 3.\nHost 2 is interested in task 7.\nHost 0 is interested in task 15.\nHost 12 is interested in task 8.\nHost 9 is interested in task 14.\nHost 1 is interested in task 3.\nHost 11 is interested in task 5.\nHost 2 is interested in task 14.\nHost 10 is interested in task 4.\nHost 13 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph788", "image": "data/matching/graph_visual/hard/graph788.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 14.\nHost 9 is interested in task 5.\nHost 0 is interested in task 0.\nHost 8 is interested in task 1.\nHost 5 is interested in task 7.\nHost 7 is interested in task 11.\nHost 8 is interested in task 10.\nHost 10 is interested in task 14.\nHost 0 is interested in task 6.\nHost 0 is interested in task 3.\nHost 11 is interested in task 7.\nHost 3 is interested in task 8.\nHost 12 is interested in task 5.\nHost 12 is interested in task 3.\nHost 1 is interested in task 11.\nHost 12 is interested in task 7.\nHost 12 is interested in task 0.\nHost 4 is interested in task 0.\nHost 3 is interested in task 6.\nHost 11 is interested in task 3.\nHost 10 is interested in task 6.\nHost 8 is interested in task 3.\nHost 2 is interested in task 10.\nHost 3 is interested in task 4.\nHost 5 is interested in task 6.\nHost 0 is interested in task 1.\nHost 1 is interested in task 14.\nHost 1 is interested in task 12.\nHost 2 is interested in task 3.\nHost 0 is interested in task 7.\nHost 9 is interested in task 8.\nHost 12 is interested in task 8.\nHost 10 is interested in task 3.\nHost 10 is interested in task 0.\nHost 4 is interested in task 2.\nHost 10 is interested in task 12.\nHost 5 is interested in task 8.\nHost 7 is interested in task 7.\nHost 0 is interested in task 5.\nHost 10 is interested in task 10.\nHost 12 is interested in task 1.\nHost 11 is interested in task 0.\nHost 4 is interested in task 13.\nHost 12 is interested in task 11.\nHost 4 is interested in task 14.\nHost 5 is interested in task 5.\nHost 9 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 2.\nHost 12 is interested in task 4.\nHost 5 is interested in task 3.\nHost 10 is interested in task 2.\nHost 2 is interested in task 12.\nHost 1 is interested in task 2.\nHost 1 is interested in task 3.\nHost 8 is interested in task 11.\nHost 11 is interested in task 1.\nHost 10 is interested in task 7.\nHost 0 is interested in task 11.\nHost 3 is interested in task 14.\nHost 9 is interested in task 6.\nHost 10 is interested in task 1.\nHost 1 is interested in task 13.\nHost 11 is interested in task 5.\nHost 3 is interested in task 1.\nHost 2 is interested in task 13.\nHost 9 is interested in task 1.\nHost 10 is interested in task 9.\nHost 0 is interested in task 9.\nHost 9 is interested in task 11.\nHost 12 is interested in task 13.\nHost 3 is interested in task 13.\nHost 11 is interested in task 8.\nHost 0 is interested in task 12.\nHost 9 is interested in task 13.\nHost 1 is interested in task 9.\nHost 7 is interested in task 8.\nHost 4 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph2", "image": "data/matching/graph_visual/hard/graph2.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 5 is interested in task 2.\nHost 7 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 2.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2.\nHost 5 is interested in task 4.\nHost 0 is interested in task 3.\nHost 7 is interested in task 4.\nHost 8 is interested in task 1.\nHost 4 is interested in task 0.\nHost 6 is interested in task 6.\nHost 5 is interested in task 3.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 7 is interested in task 1.\nHost 9 is interested in task 2.\nHost 9 is interested in task 0.\nHost 6 is interested in task 1.\nHost 1 is interested in task 5.\nHost 7 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 2 is interested in task 4.\nHost 3 is interested in task 1.\nHost 9 is interested in task 1.\nHost 8 is interested in task 3.\nHost 4 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 6.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph74", "image": "data/matching/graph_visual/hard/graph74.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 2 is interested in task 2.\nHost 2 is interested in task 5.\nHost 5 is interested in task 1.\nHost 8 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 5.\nHost 3 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 8.\nHost 3 is interested in task 0.\nHost 8 is interested in task 2.\nHost 5 is interested in task 8.\nHost 9 is interested in task 5.\nHost 9 is interested in task 2.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 9 is interested in task 1.\nHost 7 is interested in task 7.\nHost 5 is interested in task 3.\nHost 7 is interested in task 1.\nHost 2 is interested in task 1.\nHost 9 is interested in task 7.\nHost 4 is interested in task 4.\nHost 6 is interested in task 1.\nHost 4 is interested in task 8.\nHost 2 is interested in task 4.\nHost 2 is interested in task 8.\nHost 1 is interested in task 2.\nHost 3 is interested in task 1.\nHost 7 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 4.\nHost 8 is interested in task 7.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 8.\nHost 7 is interested in task 5.\nHost 4 is interested in task 1.\nHost 7 is interested in task 2.\nHost 6 is interested in task 7.\nHost 5 is interested in task 6.\nHost 6 is interested in task 0.\nHost 2 is interested in task 6.\nHost 7 is interested in task 6.\nHost 9 is interested in task 8.\nHost 1 is interested in task 4.\nHost 5 is interested in task 2.\nHost 0 is interested in task 1.\nHost 6 is interested in task 3.\nHost 3 is interested in task 4.\nHost 5 is interested in task 4.\nHost 0 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1234", "image": "data/matching/graph_visual/hard/graph1234.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 16.\nHost 3 is interested in task 8.\nHost 10 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 5 is interested in task 17.\nHost 2 is interested in task 9.\nHost 11 is interested in task 6.\nHost 14 is interested in task 2.\nHost 2 is interested in task 13.\nHost 13 is interested in task 17.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 8 is interested in task 1.\nHost 14 is interested in task 16.\nHost 7 is interested in task 14.\nHost 5 is interested in task 9.\nHost 10 is interested in task 0.\nHost 7 is interested in task 8.\nHost 3 is interested in task 10.\nHost 5 is interested in task 13.\nHost 3 is interested in task 11.\nHost 4 is interested in task 13.\nHost 4 is interested in task 12.\nHost 6 is interested in task 10.\nHost 13 is interested in task 5.\nHost 8 is interested in task 10.\nHost 0 is interested in task 16.\nHost 10 is interested in task 13.\nHost 6 is interested in task 6.\nHost 14 is interested in task 9.\nHost 9 is interested in task 3.\nHost 11 is interested in task 9.\nHost 9 is interested in task 0.\nHost 12 is interested in task 2.\nHost 9 is interested in task 8.\nHost 4 is interested in task 8.\nHost 9 is interested in task 14.\nHost 2 is interested in task 15.\nHost 7 is interested in task 1.\nHost 3 is interested in task 6.\nHost 5 is interested in task 8.\nHost 4 is interested in task 6.\nHost 6 is interested in task 13.\nHost 5 is interested in task 12.\nHost 12 is interested in task 15.\nHost 11 is interested in task 1.\nHost 11 is interested in task 17.\nHost 4 is interested in task 11.\nHost 11 is interested in task 8.\nHost 10 is interested in task 9.\nHost 3 is interested in task 2.\nHost 6 is interested in task 5.\nHost 14 is interested in task 7.\nHost 4 is interested in task 17.\nHost 11 is interested in task 4.\nHost 6 is interested in task 15.\nHost 1 is interested in task 13.\nHost 8 is interested in task 12.\nHost 10 is interested in task 2.\nHost 13 is interested in task 13.\nHost 5 is interested in task 15.\nHost 6 is interested in task 12.\nHost 7 is interested in task 15.\nHost 3 is interested in task 15.\nHost 13 is interested in task 4.\nHost 7 is interested in task 16.\nHost 0 is interested in task 11.\nHost 5 is interested in task 14.\nHost 11 is interested in task 15.\nHost 2 is interested in task 17.\nHost 0 is interested in task 14.\nHost 11 is interested in task 11.\nHost 7 is interested in task 5.\nHost 13 is interested in task 7.\nHost 7 is interested in task 0.\nHost 14 is interested in task 1.\nHost 1 is interested in task 17.\nHost 14 is interested in task 17.\nHost 5 is interested in task 5.\nHost 13 is interested in task 10.\nHost 14 is interested in task 6.\nHost 14 is interested in task 5.\nHost 10 is interested in task 6.\nHost 5 is interested in task 3.\nHost 13 is interested in task 16.\nHost 8 is interested in task 3.\nHost 14 is interested in task 12.\nHost 3 is interested in task 12.\nHost 14 is interested in task 14.\nHost 6 is interested in task 14.\nHost 4 is interested in task 9.\nHost 5 is interested in task 6.\nHost 11 is interested in task 2.\nHost 6 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 7.\nHost 13 is interested in task 8.\nHost 4 is interested in task 4.\nHost 1 is interested in task 12.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph371", "image": "data/matching/graph_visual/hard/graph371.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 9.\nHost 9 is interested in task 3.\nHost 4 is interested in task 10.\nHost 7 is interested in task 4.\nHost 4 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 2.\nHost 10 is interested in task 3.\nHost 3 is interested in task 10.\nHost 6 is interested in task 9.\nHost 1 is interested in task 0.\nHost 6 is interested in task 11.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 9 is interested in task 0.\nHost 8 is interested in task 7.\nHost 9 is interested in task 5.\nHost 5 is interested in task 1.\nHost 10 is interested in task 5.\nHost 2 is interested in task 11.\nHost 6 is interested in task 1.\nHost 4 is interested in task 9.\nHost 9 is interested in task 11.\nHost 9 is interested in task 9.\nHost 9 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3.\nHost 9 is interested in task 8.\nHost 0 is interested in task 10.\nHost 9 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph965", "image": "data/matching/graph_visual/hard/graph965.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 6.\nHost 0 is interested in task 8.\nHost 0 is interested in task 9.\nHost 9 is interested in task 11.\nHost 13 is interested in task 8.\nHost 6 is interested in task 9.\nHost 4 is interested in task 13.\nHost 4 is interested in task 3.\nHost 6 is interested in task 14.\nHost 8 is interested in task 0.\nHost 2 is interested in task 11.\nHost 13 is interested in task 1.\nHost 6 is interested in task 8.\nHost 6 is interested in task 4.\nHost 3 is interested in task 9.\nHost 1 is interested in task 9.\nHost 4 is interested in task 7.\nHost 4 is interested in task 14.\nHost 11 is interested in task 1.\nHost 1 is interested in task 3.\nHost 9 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 11.\nHost 2 is interested in task 13.\nHost 7 is interested in task 11.\nHost 12 is interested in task 11.\nHost 3 is interested in task 10.\nHost 3 is interested in task 2.\nHost 0 is interested in task 14.\nHost 11 is interested in task 9.\nHost 2 is interested in task 10.\nHost 12 is interested in task 5.\nHost 2 is interested in task 8.\nHost 1 is interested in task 11.\nHost 1 is interested in task 10.\nHost 13 is interested in task 6.\nHost 11 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 9 is interested in task 5.\nHost 1 is interested in task 1.\nHost 9 is interested in task 1.\nHost 7 is interested in task 5.\nHost 3 is interested in task 12.\nHost 13 is interested in task 11.\nHost 1 is interested in task 12.\nHost 10 is interested in task 7.\nHost 11 is interested in task 0.\nHost 11 is interested in task 10.\nHost 8 is interested in task 3.\nHost 0 is interested in task 4.\nHost 5 is interested in task 10.\nHost 7 is interested in task 12.\nHost 10 is interested in task 12.\nHost 6 is interested in task 12.\nHost 3 is interested in task 0.\nHost 10 is interested in task 13.\nHost 13 is interested in task 13.\nHost 4 is interested in task 10.\nHost 3 is interested in task 4.\nHost 10 is interested in task 1.\nHost 2 is interested in task 9.\nHost 6 is interested in task 7.\nHost 12 is interested in task 8.\nHost 8 is interested in task 5.\nHost 12 is interested in task 6.\nHost 7 is interested in task 10.\nHost 2 is interested in task 4.\nHost 4 is interested in task 5.\nHost 12 is interested in task 7.\nHost 9 is interested in task 4.\nHost 13 is interested in task 4.\nHost 0 is interested in task 0.\nHost 6 is interested in task 3.\nHost 11 is interested in task 11.\nHost 4 is interested in task 4.\nHost 1 is interested in task 7.\nHost 10 is interested in task 9.\nHost 11 is interested in task 12.\nHost 7 is interested in task 13.\nHost 11 is interested in task 8.\nHost 12 is interested in task 4.\nHost 13 is interested in task 10.\nHost 12 is interested in task 12.\nHost 12 is interested in task 13.\nHost 13 is interested in task 0.\nHost 8 is interested in task 9.\nHost 3 is interested in task 1.\nHost 11 is interested in task 13.\nHost 4 is interested in task 9.\nHost 3 is interested in task 5.\nHost 6 is interested in task 5.\nHost 1 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph397", "image": "data/matching/graph_visual/hard/graph397.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 6 is interested in task 0.\nHost 8 is interested in task 10.\nHost 7 is interested in task 10.\nHost 0 is interested in task 4.\nHost 2 is interested in task 11.\nHost 9 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 6.\nHost 2 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 7.\nHost 2 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 11.\nHost 3 is interested in task 9.\nHost 4 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 11.\nHost 6 is interested in task 12.\nHost 10 is interested in task 3.\nHost 7 is interested in task 1.\nHost 0 is interested in task 5.\nHost 6 is interested in task 10.\nHost 10 is interested in task 0.\nHost 8 is interested in task 4.\nHost 7 is interested in task 7.\nHost 10 is interested in task 6.\nHost 2 is interested in task 5.\nHost 9 is interested in task 7.\nHost 10 is interested in task 9.\nHost 10 is interested in task 4.\nHost 8 is interested in task 9.\nHost 5 is interested in task 11.\nHost 5 is interested in task 6.\nHost 5 is interested in task 8.\nHost 1 is interested in task 5.\nHost 9 is interested in task 5.\nHost 7 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 13.\nHost 10 is interested in task 8.\nHost 8 is interested in task 12.\nHost 1 is interested in task 13.\nHost 0 is interested in task 12.\nHost 4 is interested in task 10.\nHost 8 is interested in task 7.\nHost 10 is interested in task 1.\nHost 9 is interested in task 9.\nHost 6 is interested in task 13.\nHost 7 is interested in task 3.\nHost 8 is interested in task 0.\nHost 4 is interested in task 13.\nHost 0 is interested in task 13.\nHost 1 is interested in task 6.\nHost 10 is interested in task 13.\nHost 5 is interested in task 0.\nHost 0 is interested in task 9.\nHost 4 is interested in task 7.\nHost 1 is interested in task 12.\nHost 4 is interested in task 1.\nHost 10 is interested in task 5.\nHost 2 is interested in task 2.\nHost 8 is interested in task 11.\nHost 5 is interested in task 13.\nHost 6 is interested in task 1.\nHost 8 is interested in task 3.\nHost 9 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1213", "image": "data/matching/graph_visual/hard/graph1213.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 14.\nHost 12 is interested in task 5.\nHost 9 is interested in task 3.\nHost 0 is interested in task 8.\nHost 13 is interested in task 9.\nHost 11 is interested in task 4.\nHost 7 is interested in task 14.\nHost 12 is interested in task 2.\nHost 8 is interested in task 7.\nHost 9 is interested in task 10.\nHost 6 is interested in task 11.\nHost 0 is interested in task 11.\nHost 3 is interested in task 4.\nHost 6 is interested in task 3.\nHost 0 is interested in task 15.\nHost 14 is interested in task 2.\nHost 8 is interested in task 5.\nHost 0 is interested in task 7.\nHost 5 is interested in task 13.\nHost 4 is interested in task 10.\nHost 6 is interested in task 6.\nHost 3 is interested in task 11.\nHost 3 is interested in task 14.\nHost 5 is interested in task 1.\nHost 7 is interested in task 11.\nHost 3 is interested in task 7.\nHost 14 is interested in task 11.\nHost 8 is interested in task 3.\nHost 6 is interested in task 15.\nHost 12 is interested in task 8.\nHost 12 is interested in task 16.\nHost 3 is interested in task 9.\nHost 5 is interested in task 9.\nHost 7 is interested in task 3.\nHost 13 is interested in task 0.\nHost 6 is interested in task 10.\nHost 0 is interested in task 16.\nHost 10 is interested in task 11.\nHost 9 is interested in task 6.\nHost 0 is interested in task 5.\nHost 3 is interested in task 12.\nHost 9 is interested in task 12.\nHost 8 is interested in task 15.\nHost 4 is interested in task 16.\nHost 9 is interested in task 7.\nHost 10 is interested in task 4.\nHost 9 is interested in task 5.\nHost 6 is interested in task 4.\nHost 8 is interested in task 4.\nHost 4 is interested in task 8.\nHost 9 is interested in task 8.\nHost 6 is interested in task 13.\nHost 11 is interested in task 3.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 12 is interested in task 11.\nHost 0 is interested in task 4.\nHost 10 is interested in task 13.\nHost 10 is interested in task 1.\nHost 2 is interested in task 9.\nHost 11 is interested in task 11.\nHost 1 is interested in task 12.\nHost 13 is interested in task 3.\nHost 14 is interested in task 8.\nHost 2 is interested in task 12.\nHost 3 is interested in task 8.\nHost 9 is interested in task 11.\nHost 4 is interested in task 0.\nHost 4 is interested in task 14.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 9 is interested in task 13.\nHost 14 is interested in task 4.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 11 is interested in task 13.\nHost 1 is interested in task 5.\nHost 8 is interested in task 2.\nHost 5 is interested in task 11.\nHost 6 is interested in task 14.\nHost 5 is interested in task 15.\nHost 6 is interested in task 2.\nHost 13 is interested in task 1.\nHost 4 is interested in task 9.\nHost 2 is interested in task 0.\nHost 13 is interested in task 13.\nHost 14 is interested in task 6.\nHost 8 is interested in task 8.\nHost 9 is interested in task 9.\nHost 13 is interested in task 15.\nHost 7 is interested in task 13.\nHost 12 is interested in task 10.\nHost 13 is interested in task 12.\nHost 5 is interested in task 2.\nHost 5 is interested in task 5.\nHost 5 is interested in task 7.\nHost 8 is interested in task 6.\nHost 14 is interested in task 10.\nHost 6 is interested in task 7.\nHost 10 is interested in task 14.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph752", "image": "data/matching/graph_visual/hard/graph752.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 13.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 12 is interested in task 6.\nHost 6 is interested in task 6.\nHost 6 is interested in task 7.\nHost 9 is interested in task 1.\nHost 9 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 3.\nHost 12 is interested in task 12.\nHost 11 is interested in task 12.\nHost 0 is interested in task 13.\nHost 3 is interested in task 7.\nHost 7 is interested in task 1.\nHost 0 is interested in task 6.\nHost 7 is interested in task 4.\nHost 10 is interested in task 6.\nHost 5 is interested in task 2.\nHost 10 is interested in task 2.\nHost 0 is interested in task 1.\nHost 10 is interested in task 9.\nHost 6 is interested in task 10.\nHost 7 is interested in task 7.\nHost 5 is interested in task 10.\nHost 7 is interested in task 2.\nHost 2 is interested in task 2.\nHost 5 is interested in task 3.\nHost 10 is interested in task 8.\nHost 6 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 13.\nHost 4 is interested in task 7.\nHost 5 is interested in task 4.\nHost 1 is interested in task 12.\nHost 4 is interested in task 5.\nHost 8 is interested in task 5.\nHost 9 is interested in task 4.\nHost 9 is interested in task 12.\nHost 5 is interested in task 8.\nHost 0 is interested in task 3.\nHost 10 is interested in task 0.\nHost 11 is interested in task 2.\nHost 7 is interested in task 12.\nHost 8 is interested in task 7.\nHost 4 is interested in task 1.\nHost 10 is interested in task 1.\nHost 10 is interested in task 7.\nHost 5 is interested in task 13.\nHost 4 is interested in task 13.\nHost 8 is interested in task 1.\nHost 12 is interested in task 9.\nHost 1 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 12 is interested in task 5.\nHost 11 is interested in task 7.\nHost 7 is interested in task 9.\nHost 8 is interested in task 9.\nHost 5 is interested in task 11.\nHost 6 is interested in task 11.\nHost 6 is interested in task 9.\nHost 10 is interested in task 5.\nHost 6 is interested in task 12.\nHost 11 is interested in task 5.\nHost 9 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1243", "image": "data/matching/graph_visual/hard/graph1243.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 1 is interested in task 9.\nHost 7 is interested in task 12.\nHost 10 is interested in task 3.\nHost 3 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 6.\nHost 13 is interested in task 6.\nHost 0 is interested in task 8.\nHost 0 is interested in task 15.\nHost 0 is interested in task 5.\nHost 7 is interested in task 14.\nHost 1 is interested in task 7.\nHost 9 is interested in task 11.\nHost 8 is interested in task 17.\nHost 9 is interested in task 14.\nHost 0 is interested in task 2.\nHost 7 is interested in task 6.\nHost 14 is interested in task 11.\nHost 14 is interested in task 8.\nHost 1 is interested in task 8.\nHost 9 is interested in task 2.\nHost 4 is interested in task 8.\nHost 4 is interested in task 7.\nHost 12 is interested in task 14.\nHost 10 is interested in task 10.\nHost 2 is interested in task 15.\nHost 4 is interested in task 10.\nHost 14 is interested in task 7.\nHost 9 is interested in task 17.\nHost 10 is interested in task 0.\nHost 3 is interested in task 9.\nHost 5 is interested in task 9.\nHost 8 is interested in task 3.\nHost 5 is interested in task 1.\nHost 5 is interested in task 14.\nHost 6 is interested in task 6.\nHost 10 is interested in task 4.\nHost 8 is interested in task 14.\nHost 10 is interested in task 16.\nHost 0 is interested in task 6.\nHost 13 is interested in task 0.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 3 is interested in task 14.\nHost 2 is interested in task 13.\nHost 0 is interested in task 7.\nHost 1 is interested in task 0.\nHost 13 is interested in task 4.\nHost 0 is interested in task 1.\nHost 3 is interested in task 13.\nHost 1 is interested in task 1.\nHost 13 is interested in task 9.\nHost 9 is interested in task 9.\nHost 0 is interested in task 3.\nHost 0 is interested in task 11.\nHost 3 is interested in task 8.\nHost 8 is interested in task 12.\nHost 10 is interested in task 2.\nHost 4 is interested in task 13.\nHost 2 is interested in task 14.\nHost 5 is interested in task 16.\nHost 7 is interested in task 11.\nHost 6 is interested in task 13.\nHost 4 is interested in task 9.\nHost 14 is interested in task 0.\nHost 0 is interested in task 16.\nHost 2 is interested in task 7.\nHost 7 is interested in task 2.\nHost 12 is interested in task 4.\nHost 0 is interested in task 4.\nHost 12 is interested in task 7.\nHost 4 is interested in task 0.\nHost 0 is interested in task 9.\nHost 11 is interested in task 2.\nHost 1 is interested in task 11.\nHost 3 is interested in task 11.\nHost 12 is interested in task 16.\nHost 8 is interested in task 0.\nHost 6 is interested in task 14.\nHost 5 is interested in task 17.\nHost 5 is interested in task 2.\nHost 0 is interested in task 12.\nHost 2 is interested in task 6.\nHost 10 is interested in task 11.\nHost 4 is interested in task 14.\nHost 10 is interested in task 13.\nHost 9 is interested in task 10.\nHost 6 is interested in task 15.\nHost 9 is interested in task 7.\nHost 10 is interested in task 8.\nHost 9 is interested in task 1.\nHost 6 is interested in task 8.\nHost 4 is interested in task 3.\nHost 12 is interested in task 15.\nHost 11 is interested in task 15.\nHost 14 is interested in task 13.\nHost 8 is interested in task 8.\nHost 6 is interested in task 3.\nHost 2 is interested in task 10.\nHost 1 is interested in task 5.\nHost 9 is interested in task 3.\nHost 6 is interested in task 0.\nHost 13 is interested in task 8.\nHost 7 is interested in task 7.\nHost 2 is interested in task 2.\nHost 5 is interested in task 10.\nHost 2 is interested in task 12.\nHost 1 is interested in task 4.\nHost 13 is interested in task 14.\nHost 3 is interested in task 7.\nHost 9 is interested in task 0.\nHost 5 is interested in task 8.\nHost 9 is interested in task 6.\nHost 14 is interested in task 17.\nHost 2 is interested in task 1.\nHost 0 is interested in task 17.\nHost 13 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph377", "image": "data/matching/graph_visual/hard/graph377.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 6 is interested in task 10.\nHost 2 is interested in task 10.\nHost 4 is interested in task 12.\nHost 6 is interested in task 6.\nHost 3 is interested in task 6.\nHost 7 is interested in task 1.\nHost 8 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 12.\nHost 3 is interested in task 5.\nHost 10 is interested in task 2.\nHost 9 is interested in task 0.\nHost 7 is interested in task 3.\nHost 10 is interested in task 7.\nHost 2 is interested in task 1.\nHost 9 is interested in task 12.\nHost 5 is interested in task 4.\nHost 9 is interested in task 11.\nHost 3 is interested in task 11.\nHost 2 is interested in task 9.\nHost 0 is interested in task 1.\nHost 5 is interested in task 10.\nHost 3 is interested in task 8.\nHost 5 is interested in task 9.\nHost 7 is interested in task 2.\nHost 8 is interested in task 8.\nHost 3 is interested in task 1.\nHost 9 is interested in task 1.\nHost 4 is interested in task 5.\nHost 10 is interested in task 12.\nHost 1 is interested in task 3.\nHost 9 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 9.\nHost 9 is interested in task 10.\nHost 7 is interested in task 0.\nHost 0 is interested in task 12.\nHost 8 is interested in task 6.\nHost 4 is interested in task 8.\nHost 10 is interested in task 1.\nHost 5 is interested in task 8.\nHost 2 is interested in task 7.\nHost 7 is interested in task 11.\nHost 6 is interested in task 9.\nHost 4 is interested in task 7.\nHost 9 is interested in task 8.\nHost 0 is interested in task 8.\nHost 8 is interested in task 4.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph244", "image": "data/matching/graph_visual/hard/graph244.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 3.\nHost 4 is interested in task 4.\nHost 7 is interested in task 5.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 9 is interested in task 4.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 7 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 6.\nHost 3 is interested in task 4.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 0 is interested in task 8.\nHost 10 is interested in task 3.\nHost 6 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 8.\nHost 9 is interested in task 6.\nHost 1 is interested in task 0.\nHost 0 is interested in task 7.\nHost 10 is interested in task 6.\nHost 4 is interested in task 3.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 8 is interested in task 6.\nHost 0 is interested in task 5.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 8.\nHost 4 is interested in task 2.\nHost 10 is interested in task 1.\nHost 8 is interested in task 4.\nHost 2 is interested in task 2.\nHost 6 is interested in task 4.\nHost 10 is interested in task 0.\nHost 0 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 7.\nHost 5 is interested in task 7.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 9 is interested in task 2.\nHost 10 is interested in task 2.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph936", "image": "data/matching/graph_visual/hard/graph936.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 3 is interested in task 9.\nHost 13 is interested in task 4.\nHost 5 is interested in task 4.\nHost 10 is interested in task 13.\nHost 1 is interested in task 1.\nHost 6 is interested in task 2.\nHost 11 is interested in task 11.\nHost 13 is interested in task 2.\nHost 8 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 4.\nHost 1 is interested in task 3.\nHost 12 is interested in task 11.\nHost 1 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 13.\nHost 8 is interested in task 3.\nHost 10 is interested in task 12.\nHost 3 is interested in task 5.\nHost 0 is interested in task 11.\nHost 8 is interested in task 6.\nHost 1 is interested in task 6.\nHost 6 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 10.\nHost 10 is interested in task 4.\nHost 10 is interested in task 5.\nHost 8 is interested in task 4.\nHost 10 is interested in task 1.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 1 is interested in task 9.\nHost 1 is interested in task 11.\nHost 12 is interested in task 2.\nHost 2 is interested in task 11.\nHost 5 is interested in task 6.\nHost 0 is interested in task 10.\nHost 4 is interested in task 6.\nHost 7 is interested in task 1.\nHost 9 is interested in task 12.\nHost 7 is interested in task 10.\nHost 5 is interested in task 7.\nHost 9 is interested in task 9.\nHost 8 is interested in task 13.\nHost 4 is interested in task 13.\nHost 13 is interested in task 9.\nHost 4 is interested in task 2.\nHost 8 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 1.\nHost 1 is interested in task 0.\nHost 6 is interested in task 4.\nHost 13 is interested in task 5.\nHost 7 is interested in task 9.\nHost 7 is interested in task 7.\nHost 7 is interested in task 8.\nHost 6 is interested in task 12.\nHost 11 is interested in task 5.\nHost 2 is interested in task 8.\nHost 11 is interested in task 1.\nHost 12 is interested in task 4.\nHost 7 is interested in task 11.\nHost 3 is interested in task 13.\nHost 12 is interested in task 0.\nHost 6 is interested in task 1.\nHost 7 is interested in task 13.\nHost 0 is interested in task 2.\nHost 13 is interested in task 1.\nHost 4 is interested in task 7.\nHost 11 is interested in task 3.\nHost 4 is interested in task 5.\nHost 12 is interested in task 13.\nHost 6 is interested in task 0.\nHost 9 is interested in task 1.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 11 is interested in task 7.\nHost 1 is interested in task 10.\nHost 0 is interested in task 12.\nHost 3 is interested in task 6.\nHost 11 is interested in task 9.\nHost 10 is interested in task 0.\nHost 10 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph226", "image": "data/matching/graph_visual/hard/graph226.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 6 is interested in task 4.\nHost 9 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3.\nHost 7 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 8 is interested in task 7.\nHost 0 is interested in task 7.\nHost 9 is interested in task 6.\nHost 9 is interested in task 0.\nHost 7 is interested in task 2.\nHost 10 is interested in task 6.\nHost 5 is interested in task 3.\nHost 9 is interested in task 7.\nHost 9 is interested in task 1.\nHost 4 is interested in task 0.\nHost 8 is interested in task 3.\nHost 6 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 5.\nHost 0 is interested in task 5.\nHost 7 is interested in task 3.\nHost 0 is interested in task 6.\nHost 5 is interested in task 2.\nHost 10 is interested in task 2.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 9 is interested in task 4.\nHost 7 is interested in task 0.\nHost 9 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph23", "image": "data/matching/graph_visual/hard/graph23.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 9 is interested in task 1.\nHost 9 is interested in task 2.\nHost 6 is interested in task 3.\nHost 8 is interested in task 2.\nHost 7 is interested in task 1.\nHost 6 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 4.\nHost 6 is interested in task 6.\nHost 8 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 4.\nHost 5 is interested in task 0.\nHost 7 is interested in task 0.\nHost 8 is interested in task 1.\nHost 9 is interested in task 6.\nHost 8 is interested in task 0.\nHost 9 is interested in task 0.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 3 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 2.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph251", "image": "data/matching/graph_visual/hard/graph251.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 1 is interested in task 2.\nHost 9 is interested in task 7.\nHost 8 is interested in task 1.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 6 is interested in task 1.\nHost 7 is interested in task 7.\nHost 9 is interested in task 5.\nHost 0 is interested in task 0.\nHost 10 is interested in task 8.\nHost 9 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 8.\nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 4 is interested in task 6.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 8 is interested in task 3.\nHost 0 is interested in task 4.\nHost 8 is interested in task 7.\nHost 1 is interested in task 7.\nHost 9 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 9 is interested in task 3.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 0 is interested in task 1.\nHost 5 is interested in task 8.\nHost 5 is interested in task 3.\nHost 6 is interested in task 2.\nHost 5 is interested in task 1.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1172", "image": "data/matching/graph_visual/hard/graph1172.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 14.\nHost 6 is interested in task 12.\nHost 12 is interested in task 12.\nHost 8 is interested in task 7.\nHost 12 is interested in task 3.\nHost 1 is interested in task 9.\nHost 7 is interested in task 2.\nHost 9 is interested in task 1.\nHost 4 is interested in task 14.\nHost 13 is interested in task 10.\nHost 5 is interested in task 4.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 10 is interested in task 14.\nHost 13 is interested in task 6.\nHost 1 is interested in task 15.\nHost 8 is interested in task 2.\nHost 4 is interested in task 9.\nHost 5 is interested in task 5.\nHost 4 is interested in task 13.\nHost 3 is interested in task 2.\nHost 14 is interested in task 1.\nHost 1 is interested in task 11.\nHost 0 is interested in task 1.\nHost 6 is interested in task 14.\nHost 3 is interested in task 13.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 8 is interested in task 13.\nHost 14 is interested in task 6.\nHost 2 is interested in task 0.\nHost 8 is interested in task 0.\nHost 0 is interested in task 10.\nHost 3 is interested in task 3.\nHost 6 is interested in task 5.\nHost 3 is interested in task 1.\nHost 12 is interested in task 0.\nHost 0 is interested in task 13.\nHost 13 is interested in task 3.\nHost 6 is interested in task 15.\nHost 5 is interested in task 13.\nHost 9 is interested in task 15.\nHost 7 is interested in task 12.\nHost 9 is interested in task 6.\nHost 12 is interested in task 7.\nHost 2 is interested in task 12.\nHost 12 is interested in task 14.\nHost 0 is interested in task 9.\nHost 11 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 5.\nHost 8 is interested in task 9.\nHost 14 is interested in task 2.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 12 is interested in task 10.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 6 is interested in task 8.\nHost 7 is interested in task 9.\nHost 3 is interested in task 7.\nHost 1 is interested in task 5.\nHost 8 is interested in task 10.\nHost 14 is interested in task 7.\nHost 13 is interested in task 4.\nHost 2 is interested in task 3.\nHost 14 is interested in task 0.\nHost 9 is interested in task 8.\nHost 9 is interested in task 9.\nHost 14 is interested in task 10.\nHost 4 is interested in task 10.\nHost 2 is interested in task 14.\nHost 4 is interested in task 3.\nHost 10 is interested in task 10.\nHost 14 is interested in task 8.\nHost 1 is interested in task 2.\nHost 8 is interested in task 1.\nHost 0 is interested in task 2.\nHost 3 is interested in task 10.\nHost 13 is interested in task 8.\nHost 14 is interested in task 15.\nHost 8 is interested in task 8.\nHost 3 is interested in task 5.\nHost 7 is interested in task 13.\nHost 12 is interested in task 15.\nHost 9 is interested in task 5.\nHost 5 is interested in task 9.\nHost 12 is interested in task 5.\nHost 4 is interested in task 7.\nHost 13 is interested in task 15.\nHost 12 is interested in task 4.\nHost 7 is interested in task 5.\nHost 10 is interested in task 2.\nHost 3 is interested in task 4.\nHost 7 is interested in task 14.\nHost 5 is interested in task 15.\nHost 3 is interested in task 11.\nHost 13 is interested in task 12.\nHost 13 is interested in task 1.\nHost 1 is interested in task 13.\nHost 8 is interested in task 3.\nHost 2 is interested in task 15.\nHost 5 is interested in task 7.\nHost 11 is interested in task 11.\nHost 6 is interested in task 13.\nHost 13 is interested in task 5.\nHost 3 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph736", "image": "data/matching/graph_visual/hard/graph736.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 12.\nHost 8 is interested in task 3.\nHost 5 is interested in task 6.\nHost 9 is interested in task 6.\nHost 7 is interested in task 2.\nHost 2 is interested in task 9.\nHost 6 is interested in task 5.\nHost 10 is interested in task 2.\nHost 10 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 3.\nHost 8 is interested in task 10.\nHost 10 is interested in task 5.\nHost 0 is interested in task 6.\nHost 10 is interested in task 1.\nHost 4 is interested in task 9.\nHost 11 is interested in task 3.\nHost 7 is interested in task 7.\nHost 4 is interested in task 3.\nHost 7 is interested in task 12.\nHost 5 is interested in task 12.\nHost 9 is interested in task 7.\nHost 8 is interested in task 11.\nHost 8 is interested in task 6.\nHost 1 is interested in task 4.\nHost 10 is interested in task 11.\nHost 6 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 12 is interested in task 7.\nHost 0 is interested in task 11.\nHost 11 is interested in task 2.\nHost 10 is interested in task 4.\nHost 12 is interested in task 0.\nHost 11 is interested in task 10.\nHost 1 is interested in task 12.\nHost 7 is interested in task 9.\nHost 6 is interested in task 8.\nHost 12 is interested in task 5.\nHost 3 is interested in task 1.\nHost 8 is interested in task 7.\nHost 2 is interested in task 2.\nHost 4 is interested in task 7.\nHost 3 is interested in task 5.\nHost 2 is interested in task 10.\nHost 8 is interested in task 1.\nHost 9 is interested in task 2.\nHost 5 is interested in task 5.\nHost 3 is interested in task 12.\nHost 1 is interested in task 11.\nHost 6 is interested in task 1.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 8.\nHost 3 is interested in task 7.\nHost 5 is interested in task 8.\nHost 3 is interested in task 6.\nHost 0 is interested in task 0.\nHost 0 is interested in task 9.\nHost 8 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 11.\nHost 1 is interested in task 3.\nHost 6 is interested in task 11.\nHost 11 is interested in task 11.\nHost 0 is interested in task 12.\nHost 8 is interested in task 4.\nHost 12 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1167", "image": "data/matching/graph_visual/hard/graph1167.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 12.\nHost 0 is interested in task 6.\nHost 14 is interested in task 12.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 3 is interested in task 11.\nHost 4 is interested in task 10.\nHost 11 is interested in task 7.\nHost 9 is interested in task 1.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 12 is interested in task 11.\nHost 6 is interested in task 11.\nHost 4 is interested in task 4.\nHost 5 is interested in task 13.\nHost 7 is interested in task 11.\nHost 13 is interested in task 6.\nHost 1 is interested in task 5.\nHost 2 is interested in task 0.\nHost 3 is interested in task 2.\nHost 14 is interested in task 13.\nHost 10 is interested in task 13.\nHost 14 is interested in task 8.\nHost 13 is interested in task 8.\nHost 7 is interested in task 5.\nHost 8 is interested in task 4.\nHost 6 is interested in task 7.\nHost 13 is interested in task 3.\nHost 12 is interested in task 7.\nHost 5 is interested in task 7.\nHost 8 is interested in task 2.\nHost 2 is interested in task 9.\nHost 0 is interested in task 13.\nHost 2 is interested in task 8.\nHost 11 is interested in task 12.\nHost 2 is interested in task 4.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 7 is interested in task 12.\nHost 9 is interested in task 0.\nHost 2 is interested in task 10.\nHost 3 is interested in task 1.\nHost 12 is interested in task 4.\nHost 8 is interested in task 3.\nHost 2 is interested in task 11.\nHost 13 is interested in task 10.\nHost 13 is interested in task 5.\nHost 6 is interested in task 2.\nHost 12 is interested in task 8.\nHost 0 is interested in task 1.\nHost 11 is interested in task 14.\nHost 7 is interested in task 8.\nHost 14 is interested in task 14.\nHost 5 is interested in task 10.\nHost 8 is interested in task 0.\nHost 0 is interested in task 3.\nHost 14 is interested in task 4.\nHost 0 is interested in task 14.\nHost 3 is interested in task 13.\nHost 12 is interested in task 3.\nHost 1 is interested in task 10.\nHost 13 is interested in task 9.\nHost 13 is interested in task 7.\nHost 2 is interested in task 2.\nHost 8 is interested in task 5.\nHost 7 is interested in task 9.\nHost 8 is interested in task 11.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 3 is interested in task 12.\nHost 7 is interested in task 14.\nHost 13 is interested in task 0.\nHost 12 is interested in task 12.\nHost 6 is interested in task 9.\nHost 7 is interested in task 13.\nHost 10 is interested in task 7.\nHost 2 is interested in task 6.\nHost 5 is interested in task 11.\nHost 4 is interested in task 14.\nHost 2 is interested in task 13.\nHost 1 is interested in task 1.\nHost 13 is interested in task 4.\nHost 11 is interested in task 13.\nHost 9 is interested in task 8.\nHost 5 is interested in task 4.\nHost 12 is interested in task 13.\nHost 0 is interested in task 8.\nHost 14 is interested in task 1.\nHost 4 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1139", "image": "data/matching/graph_visual/hard/graph1139.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 0.\nHost 5 is interested in task 0.\nHost 8 is interested in task 4.\nHost 8 is interested in task 10.\nHost 1 is interested in task 10.\nHost 8 is interested in task 6.\nHost 5 is interested in task 8.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 6 is interested in task 11.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 1.\nHost 3 is interested in task 1.\nHost 11 is interested in task 13.\nHost 5 is interested in task 7.\nHost 5 is interested in task 12.\nHost 7 is interested in task 8.\nHost 8 is interested in task 13.\nHost 12 is interested in task 13.\nHost 10 is interested in task 13.\nHost 13 is interested in task 4.\nHost 7 is interested in task 12.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 7 is interested in task 3.\nHost 3 is interested in task 11.\nHost 4 is interested in task 6.\nHost 12 is interested in task 11.\nHost 5 is interested in task 5.\nHost 13 is interested in task 9.\nHost 2 is interested in task 13.\nHost 3 is interested in task 7.\nHost 0 is interested in task 7.\nHost 3 is interested in task 10.\nHost 8 is interested in task 5.\nHost 1 is interested in task 12.\nHost 12 is interested in task 1.\nHost 12 is interested in task 9.\nHost 5 is interested in task 11.\nHost 13 is interested in task 10.\nHost 0 is interested in task 9.\nHost 10 is interested in task 7.\nHost 11 is interested in task 10.\nHost 2 is interested in task 1.\nHost 6 is interested in task 10.\nHost 12 is interested in task 4.\nHost 6 is interested in task 8.\nHost 9 is interested in task 5.\nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 11 is interested in task 5.\nHost 9 is interested in task 13.\nHost 4 is interested in task 2.\nHost 13 is interested in task 7.\nHost 0 is interested in task 12.\nHost 13 is interested in task 12.\nHost 8 is interested in task 9.\nHost 3 is interested in task 12.\nHost 13 is interested in task 13.\nHost 12 is interested in task 7.\nHost 8 is interested in task 3.\nHost 5 is interested in task 9.\nHost 4 is interested in task 11.\nHost 2 is interested in task 8.\nHost 5 is interested in task 1.\nHost 4 is interested in task 12.\nHost 8 is interested in task 1.\nHost 6 is interested in task 2.\nHost 4 is interested in task 4.\nHost 9 is interested in task 11.\nHost 6 is interested in task 13.\nHost 4 is interested in task 0.\nHost 11 is interested in task 12.\nHost 3 is interested in task 8.\nHost 11 is interested in task 2.\nHost 4 is interested in task 13.\nHost 13 is interested in task 8.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 4.\nHost 6 is interested in task 12.\nHost 13 is interested in task 0.\nHost 2 is interested in task 12.\nHost 13 is interested in task 1.\nHost 1 is interested in task 5.\nHost 7 is interested in task 9.\nHost 12 is interested in task 10.\nHost 12 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1065", "image": "data/matching/graph_visual/hard/graph1065.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 10.\nHost 12 is interested in task 6.\nHost 1 is interested in task 4.\nHost 12 is interested in task 1.\nHost 4 is interested in task 6.\nHost 1 is interested in task 1.\nHost 1 is interested in task 7.\nHost 0 is interested in task 8.\nHost 9 is interested in task 7.\nHost 0 is interested in task 7.\nHost 4 is interested in task 5.\nHost 10 is interested in task 10.\nHost 7 is interested in task 9.\nHost 9 is interested in task 9.\nHost 14 is interested in task 7.\nHost 10 is interested in task 2.\nHost 4 is interested in task 4.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 1 is interested in task 10.\nHost 9 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 9.\nHost 10 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 11.\nHost 13 is interested in task 1.\nHost 2 is interested in task 4.\nHost 10 is interested in task 6.\nHost 7 is interested in task 3.\nHost 1 is interested in task 5.\nHost 9 is interested in task 5.\nHost 12 is interested in task 11.\nHost 13 is interested in task 3.\nHost 1 is interested in task 0.\nHost 3 is interested in task 10.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 10 is interested in task 4.\nHost 8 is interested in task 9.\nHost 3 is interested in task 11.\nHost 3 is interested in task 4.\nHost 0 is interested in task 11.\nHost 9 is interested in task 0.\nHost 7 is interested in task 7.\nHost 3 is interested in task 6.\nHost 7 is interested in task 10.\nHost 14 is interested in task 8.\nHost 5 is interested in task 5.\nHost 13 is interested in task 5.\nHost 8 is interested in task 5.\nHost 12 is interested in task 0.\nHost 1 is interested in task 3.\nHost 7 is interested in task 4.\nHost 7 is interested in task 0.\nHost 4 is interested in task 9.\nHost 3 is interested in task 1.\nHost 12 is interested in task 10.\nHost 4 is interested in task 10.\nHost 5 is interested in task 3.\nHost 6 is interested in task 3.\nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 0 is interested in task 9.\nHost 14 is interested in task 9.\nHost 14 is interested in task 2.\nHost 5 is interested in task 9.\nHost 3 is interested in task 9.\nHost 9 is interested in task 4.\nHost 1 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph301", "image": "data/matching/graph_visual/hard/graph301.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 1 is interested in task 2.\nHost 9 is interested in task 9.\nHost 5 is interested in task 10.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 6 is interested in task 10.\nHost 10 is interested in task 7.\nHost 2 is interested in task 7.\nHost 7 is interested in task 3.\nHost 3 is interested in task 9.\nHost 8 is interested in task 2.\nHost 10 is interested in task 5.\nHost 5 is interested in task 0.\nHost 9 is interested in task 5.\nHost 9 is interested in task 7.\nHost 6 is interested in task 4.\nHost 5 is interested in task 7.\nHost 5 is interested in task 3.\nHost 1 is interested in task 7.\nHost 4 is interested in task 10.\nHost 10 is interested in task 0.\nHost 6 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 2 is interested in task 8.\nHost 3 is interested in task 4.\nHost 3 is interested in task 5.\nHost 0 is interested in task 10.\nHost 4 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 5.\nHost 4 is interested in task 8.\nHost 1 is interested in task 10.\nHost 6 is interested in task 7.\nHost 3 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph354", "image": "data/matching/graph_visual/hard/graph354.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 9 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 1.\nHost 8 is interested in task 1.\nHost 8 is interested in task 7.\nHost 8 is interested in task 3.\nHost 2 is interested in task 10.\nHost 0 is interested in task 9.\nHost 1 is interested in task 3.\nHost 8 is interested in task 0.\nHost 6 is interested in task 10.\nHost 2 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 11.\nHost 7 is interested in task 0.\nHost 6 is interested in task 4.\nHost 5 is interested in task 4.\nHost 4 is interested in task 10.\nHost 3 is interested in task 6.\nHost 5 is interested in task 8.\nHost 10 is interested in task 6.\nHost 3 is interested in task 0.\nHost 7 is interested in task 9.\nHost 9 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 8.\nHost 9 is interested in task 7.\nHost 0 is interested in task 6.\nHost 6 is interested in task 2.\nHost 10 is interested in task 8.\nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 6 is interested in task 3.\nHost 3 is interested in task 10.\nHost 9 is interested in task 9.\nHost 2 is interested in task 5.\nHost 0 is interested in task 1.\nHost 0 is interested in task 7.\nHost 1 is interested in task 0.\nHost 0 is interested in task 3.\nHost 4 is interested in task 8.\nHost 6 is interested in task 6.\nHost 8 is interested in task 8.\nHost 7 is interested in task 10.\nHost 9 is interested in task 11.\nHost 3 is interested in task 2.\nHost 6 is interested in task 11.\nHost 5 is interested in task 10.\nHost 10 is interested in task 11.\nHost 10 is interested in task 5.\nHost 10 is interested in task 10.\nHost 4 is interested in task 5.\nHost 10 is interested in task 1.\nHost 6 is interested in task 1.\nHost 8 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1193", "image": "data/matching/graph_visual/hard/graph1193.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 14.\nHost 7 is interested in task 15.\nHost 7 is interested in task 13.\nHost 5 is interested in task 14.\nHost 9 is interested in task 15.\nHost 7 is interested in task 1.\nHost 0 is interested in task 14.\nHost 10 is interested in task 11.\nHost 11 is interested in task 6.\nHost 9 is interested in task 14.\nHost 14 is interested in task 5.\nHost 12 is interested in task 1.\nHost 5 is interested in task 3.\nHost 3 is interested in task 8.\nHost 0 is interested in task 8.\nHost 7 is interested in task 3.\nHost 9 is interested in task 12.\nHost 12 is interested in task 11.\nHost 6 is interested in task 1.\nHost 13 is interested in task 8.\nHost 1 is interested in task 6.\nHost 4 is interested in task 6.\nHost 12 is interested in task 13.\nHost 1 is interested in task 5.\nHost 9 is interested in task 6.\nHost 3 is interested in task 14.\nHost 11 is interested in task 14.\nHost 3 is interested in task 10.\nHost 7 is interested in task 5.\nHost 7 is interested in task 2.\nHost 7 is interested in task 11.\nHost 14 is interested in task 0.\nHost 11 is interested in task 1.\nHost 3 is interested in task 12.\nHost 0 is interested in task 11.\nHost 0 is interested in task 0.\nHost 14 is interested in task 6.\nHost 10 is interested in task 13.\nHost 11 is interested in task 3.\nHost 0 is interested in task 1.\nHost 0 is interested in task 10.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 15.\nHost 13 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 1.\nHost 6 is interested in task 15.\nHost 6 is interested in task 12.\nHost 14 is interested in task 8.\nHost 4 is interested in task 0.\nHost 10 is interested in task 15.\nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 8 is interested in task 3.\nHost 9 is interested in task 4.\nHost 2 is interested in task 1.\nHost 9 is interested in task 1.\nHost 0 is interested in task 12.\nHost 2 is interested in task 4.\nHost 3 is interested in task 7.\nHost 12 is interested in task 12.\nHost 3 is interested in task 9.\nHost 3 is interested in task 4.\nHost 10 is interested in task 3.\nHost 5 is interested in task 8.\nHost 6 is interested in task 0.\nHost 14 is interested in task 10.\nHost 11 is interested in task 15.\nHost 2 is interested in task 5.\nHost 0 is interested in task 13.\nHost 10 is interested in task 9.\nHost 11 is interested in task 4.\nHost 6 is interested in task 8.\nHost 0 is interested in task 3.\nHost 14 is interested in task 14.\nHost 12 is interested in task 6.\nHost 14 is interested in task 15.\nHost 12 is interested in task 8.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph732", "image": "data/matching/graph_visual/hard/graph732.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 9.\nHost 0 is interested in task 12.\nHost 3 is interested in task 5.\nHost 11 is interested in task 1.\nHost 3 is interested in task 3.\nHost 8 is interested in task 11.\nHost 11 is interested in task 12.\nHost 0 is interested in task 9.\nHost 1 is interested in task 0.\nHost 11 is interested in task 9.\nHost 1 is interested in task 5.\nHost 8 is interested in task 12.\nHost 2 is interested in task 8.\nHost 9 is interested in task 12.\nHost 11 is interested in task 5.\nHost 7 is interested in task 6.\nHost 8 is interested in task 10.\nHost 12 is interested in task 4.\nHost 7 is interested in task 10.\nHost 8 is interested in task 8.\nHost 3 is interested in task 8.\nHost 6 is interested in task 9.\nHost 4 is interested in task 2.\nHost 12 is interested in task 7.\nHost 2 is interested in task 11.\nHost 10 is interested in task 3.\nHost 7 is interested in task 2.\nHost 10 is interested in task 5.\nHost 2 is interested in task 1.\nHost 6 is interested in task 7.\nHost 6 is interested in task 5.\nHost 11 is interested in task 3.\nHost 7 is interested in task 8.\nHost 11 is interested in task 7.\nHost 6 is interested in task 4.\nHost 11 is interested in task 2.\nHost 5 is interested in task 7.\nHost 9 is interested in task 1.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph640", "image": "data/matching/graph_visual/hard/graph640.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 9 is interested in task 6.\nHost 8 is interested in task 0.\nHost 1 is interested in task 9.\nHost 7 is interested in task 2.\nHost 9 is interested in task 3.\nHost 2 is interested in task 6.\nHost 8 is interested in task 4.\nHost 2 is interested in task 4.\nHost 9 is interested in task 1.\nHost 12 is interested in task 2.\nHost 11 is interested in task 0.\nHost 4 is interested in task 9.\nHost 11 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 7 is interested in task 4.\nHost 10 is interested in task 0.\nHost 0 is interested in task 3.\nHost 6 is interested in task 5.\nHost 12 is interested in task 0.\nHost 4 is interested in task 1.\nHost 9 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 10 is interested in task 1.\nHost 7 is interested in task 6.\nHost 12 is interested in task 1.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 12 is interested in task 8.\nHost 8 is interested in task 9.\nHost 5 is interested in task 7.\nHost 4 is interested in task 7.\nHost 3 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 6.\nHost 11 is interested in task 6.\nHost 2 is interested in task 2.\nHost 1 is interested in task 8.\nHost 5 is interested in task 3.\nHost 6 is interested in task 8.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph222", "image": "data/matching/graph_visual/hard/graph222.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 6.\nHost 9 is interested in task 0.\nHost 1 is interested in task 4.\nHost 10 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 3.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 1.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 9 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 1.\nHost 7 is interested in task 4.\nHost 0 is interested in task 4.\nHost 0 is interested in task 7.\nHost 7 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 2.\nHost 3 is interested in task 5.\nHost 10 is interested in task 4.\nHost 10 is interested in task 7.\nHost 10 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 6.\nHost 1 is interested in task 2.\nHost 8 is interested in task 2.\nHost 2 is interested in task 2.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 10 is interested in task 5.\nHost 5 is interested in task 2.\nHost 9 is interested in task 4.\nHost 2 is interested in task 1.\nHost 5 is interested in task 5.\nHost 3 is interested in task 7.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 10 is interested in task 3.\nHost 8 is interested in task 4.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 4.\nHost 8 is interested in task 5.\nHost 4 is interested in task 3.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph465", "image": "data/matching/graph_visual/hard/graph465.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 7 is interested in task 4.\nHost 1 is interested in task 8.\nHost 4 is interested in task 9.\nHost 7 is interested in task 9.\nHost 7 is interested in task 7.\nHost 9 is interested in task 2.\nHost 2 is interested in task 1.\nHost 9 is interested in task 0.\nHost 8 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 8.\nHost 2 is interested in task 2.\nHost 1 is interested in task 9.\nHost 2 is interested in task 6.\nHost 1 is interested in task 1.\nHost 3 is interested in task 0.\nHost 10 is interested in task 1.\nHost 6 is interested in task 8.\nHost 0 is interested in task 1.\nHost 5 is interested in task 0.\nHost 5 is interested in task 6.\nHost 9 is interested in task 4.\nHost 7 is interested in task 0.\nHost 6 is interested in task 7.\nHost 10 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 1.\nHost 3 is interested in task 2.\nHost 6 is interested in task 0.\nHost 9 is interested in task 6.\nHost 2 is interested in task 3.\nHost 10 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph869", "image": "data/matching/graph_visual/hard/graph869.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 9 is interested in task 1.\nHost 13 is interested in task 4.\nHost 5 is interested in task 2.\nHost 3 is interested in task 4.\nHost 11 is interested in task 4.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 6 is interested in task 9.\nHost 12 is interested in task 4.\nHost 11 is interested in task 10.\nHost 3 is interested in task 1.\nHost 13 is interested in task 9.\nHost 1 is interested in task 5.\nHost 12 is interested in task 9.\nHost 10 is interested in task 9.\nHost 1 is interested in task 7.\nHost 13 is interested in task 10.\nHost 12 is interested in task 2.\nHost 13 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 3.\nHost 9 is interested in task 5.\nHost 2 is interested in task 9.\nHost 13 is interested in task 8.\nHost 5 is interested in task 9.\nHost 8 is interested in task 0.\nHost 11 is interested in task 9.\nHost 1 is interested in task 10.\nHost 12 is interested in task 0.\nHost 5 is interested in task 4.\nHost 12 is interested in task 1.\nHost 11 is interested in task 7.\nHost 11 is interested in task 5.\nHost 9 is interested in task 10.\nHost 5 is interested in task 3.\nHost 13 is interested in task 5.\nHost 6 is interested in task 7.\nHost 1 is interested in task 1.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 4 is interested in task 6.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 10 is interested in task 10.\nHost 8 is interested in task 4.\nHost 1 is interested in task 8.\nHost 7 is interested in task 4.\nHost 2 is interested in task 1.\nHost 11 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph730", "image": "data/matching/graph_visual/hard/graph730.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 11 is interested in task 0.\nHost 1 is interested in task 9.\nHost 12 is interested in task 12.\nHost 3 is interested in task 11.\nHost 11 is interested in task 5.\nHost 2 is interested in task 4.\nHost 0 is interested in task 9.\nHost 12 is interested in task 11.\nHost 11 is interested in task 3.\nHost 0 is interested in task 6.\nHost 10 is interested in task 1.\nHost 8 is interested in task 5.\nHost 4 is interested in task 10.\nHost 1 is interested in task 0.\nHost 11 is interested in task 7.\nHost 5 is interested in task 4.\nHost 9 is interested in task 9.\nHost 8 is interested in task 9.\nHost 2 is interested in task 1.\nHost 4 is interested in task 9.\nHost 12 is interested in task 0.\nHost 10 is interested in task 0.\nHost 4 is interested in task 0.\nHost 10 is interested in task 6.\nHost 1 is interested in task 1.\nHost 3 is interested in task 7.\nHost 8 is interested in task 7.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 6 is interested in task 10.\nHost 0 is interested in task 12.\nHost 5 is interested in task 11.\nHost 0 is interested in task 4.\nHost 4 is interested in task 11.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 7 is interested in task 0.\nHost 1 is interested in task 7.\nHost 3 is interested in task 4.\nHost 4 is interested in task 6.\nHost 2 is interested in task 9.\nHost 4 is interested in task 12.\nHost 8 is interested in task 8.\nHost 3 is interested in task 0.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 5.\nHost 2 is interested in task 6.\nHost 4 is interested in task 4.\nHost 5 is interested in task 0.\nHost 12 is interested in task 9.\nHost 0 is interested in task 3.\nHost 12 is interested in task 1.\nHost 2 is interested in task 2.\nHost 12 is interested in task 6.\nHost 4 is interested in task 1.\nHost 0 is interested in task 7.\nHost 2 is interested in task 7.\nHost 4 is interested in task 8.\nHost 12 is interested in task 3.\nHost 7 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph598", "image": "data/matching/graph_visual/hard/graph598.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 11.\nHost 4 is interested in task 12.\nHost 10 is interested in task 11.\nHost 11 is interested in task 6.\nHost 8 is interested in task 7.\nHost 11 is interested in task 10.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 9 is interested in task 2.\nHost 11 is interested in task 5.\nHost 11 is interested in task 11.\nHost 5 is interested in task 3.\nHost 1 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5.\nHost 7 is interested in task 12.\nHost 2 is interested in task 6.\nHost 3 is interested in task 11.\nHost 6 is interested in task 13.\nHost 8 is interested in task 13.\nHost 3 is interested in task 6.\nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 6 is interested in task 3.\nHost 0 is interested in task 2.\nHost 7 is interested in task 6.\nHost 8 is interested in task 9.\nHost 7 is interested in task 4.\nHost 3 is interested in task 3.\nHost 7 is interested in task 3.\nHost 9 is interested in task 8.\nHost 5 is interested in task 1.\nHost 6 is interested in task 11.\nHost 5 is interested in task 5.\nHost 11 is interested in task 0.\nHost 3 is interested in task 8.\nHost 8 is interested in task 8.\nHost 0 is interested in task 5.\nHost 4 is interested in task 9.\nHost 2 is interested in task 13.\nHost 8 is interested in task 6.\nHost 10 is interested in task 4.\nHost 3 is interested in task 12.\nHost 11 is interested in task 12.\nHost 6 is interested in task 6.\nHost 7 is interested in task 1.\nHost 0 is interested in task 9.\nHost 1 is interested in task 11.\nHost 11 is interested in task 3.\nHost 11 is interested in task 2.\nHost 11 is interested in task 7.\nHost 7 is interested in task 5.\nHost 7 is interested in task 0.\nHost 2 is interested in task 8.\nHost 8 is interested in task 10.\nHost 8 is interested in task 1.\nHost 9 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 4.\nHost 4 is interested in task 10.\nHost 0 is interested in task 12.\nHost 0 is interested in task 10.\nHost 2 is interested in task 11.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 6 is interested in task 9.\nHost 4 is interested in task 2.\nHost 1 is interested in task 12.\nHost 9 is interested in task 13.\nHost 0 is interested in task 3.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph280", "image": "data/matching/graph_visual/hard/graph280.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 9 is interested in task 0.\nHost 6 is interested in task 6.\nHost 6 is interested in task 1.\nHost 0 is interested in task 8.\nHost 7 is interested in task 7.\nHost 8 is interested in task 6.\nHost 4 is interested in task 5.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7.\nHost 9 is interested in task 7.\nHost 6 is interested in task 8.\nHost 5 is interested in task 4.\nHost 5 is interested in task 9.\nHost 7 is interested in task 8.\nHost 9 is interested in task 2.\nHost 5 is interested in task 1.\nHost 8 is interested in task 5.\nHost 7 is interested in task 5.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 9.\nHost 9 is interested in task 8.\nHost 8 is interested in task 2.\nHost 2 is interested in task 6.\nHost 7 is interested in task 0.\nHost 5 is interested in task 7.\nHost 5 is interested in task 3.\nHost 5 is interested in task 2.\nHost 3 is interested in task 5.\nHost 7 is interested in task 2.\nHost 8 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 9.\nHost 8 is interested in task 1.\nHost 7 is interested in task 6.\nHost 6 is interested in task 2.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 9.\nHost 10 is interested in task 3.\nHost 9 is interested in task 1.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph105", "image": "data/matching/graph_visual/hard/graph105.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 3.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6.\nHost 5 is interested in task 9.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 4.\nHost 3 is interested in task 9.\nHost 9 is interested in task 4.\nHost 6 is interested in task 3.\nHost 1 is interested in task 7.\nHost 7 is interested in task 3.\nHost 9 is interested in task 6.\nHost 8 is interested in task 7.\nHost 1 is interested in task 6.\nHost 6 is interested in task 1.\nHost 6 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 6.\nHost 9 is interested in task 2.\nHost 7 is interested in task 1.\nHost 9 is interested in task 7.\nHost 2 is interested in task 9.\nHost 6 is interested in task 0.\nHost 0 is interested in task 7.\nHost 4 is interested in task 1.\nHost 1 is interested in task 8.\nHost 5 is interested in task 0.\nHost 3 is interested in task 1.\nHost 6 is interested in task 5.\nHost 1 is interested in task 2.\nHost 1 is interested in task 5.\nHost 4 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph824", "image": "data/matching/graph_visual/hard/graph824.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 1.\nHost 0 is interested in task 6.\nHost 3 is interested in task 9.\nHost 10 is interested in task 4.\nHost 1 is interested in task 2.\nHost 10 is interested in task 5.\nHost 5 is interested in task 9.\nHost 5 is interested in task 11.\nHost 3 is interested in task 0.\nHost 3 is interested in task 10.\nHost 10 is interested in task 2.\nHost 9 is interested in task 11.\nHost 4 is interested in task 14.\nHost 12 is interested in task 15.\nHost 10 is interested in task 13.\nHost 1 is interested in task 7.\nHost 0 is interested in task 14.\nHost 0 is interested in task 0.\nHost 4 is interested in task 10.\nHost 2 is interested in task 10.\nHost 11 is interested in task 14.\nHost 10 is interested in task 8.\nHost 5 is interested in task 6.\nHost 2 is interested in task 1.\nHost 9 is interested in task 12.\nHost 4 is interested in task 12.\nHost 4 is interested in task 6.\nHost 8 is interested in task 1.\nHost 0 is interested in task 12.\nHost 9 is interested in task 4.\nHost 9 is interested in task 1.\nHost 9 is interested in task 6.\nHost 11 is interested in task 15.\nHost 12 is interested in task 8.\nHost 5 is interested in task 2.\nHost 4 is interested in task 2.\nHost 5 is interested in task 7.\nHost 5 is interested in task 8.\nHost 9 is interested in task 13.\nHost 5 is interested in task 14.\nHost 8 is interested in task 5.\nHost 1 is interested in task 8.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 8 is interested in task 4.\nHost 6 is interested in task 8.\nHost 1 is interested in task 9.\nHost 5 is interested in task 1.\nHost 5 is interested in task 12.\nHost 3 is interested in task 8.\nHost 12 is interested in task 12.\nHost 12 is interested in task 1.\nHost 12 is interested in task 2.\nHost 7 is interested in task 6.\nHost 9 is interested in task 5.\nHost 0 is interested in task 10.\nHost 8 is interested in task 2.\nHost 12 is interested in task 14.\nHost 4 is interested in task 15.\nHost 12 is interested in task 7.\nHost 6 is interested in task 6.\nHost 9 is interested in task 7.\nHost 7 is interested in task 4.\nHost 7 is interested in task 12.\nHost 4 is interested in task 13.\nHost 8 is interested in task 0.\nHost 8 is interested in task 10.\nHost 10 is interested in task 0.\nHost 6 is interested in task 5.\nHost 9 is interested in task 14.\nHost 11 is interested in task 9.\nHost 8 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph426", "image": "data/matching/graph_visual/hard/graph426.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 7 is interested in task 2.\nHost 11 is interested in task 7.\nHost 6 is interested in task 5.\nHost 11 is interested in task 4.\nHost 2 is interested in task 1.\nHost 7 is interested in task 8.\nHost 3 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 0.\nHost 8 is interested in task 0.\nHost 11 is interested in task 5.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 2.\nHost 0 is interested in task 6.\nHost 0 is interested in task 0.\nHost 0 is interested in task 8.\nHost 5 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 3.\nHost 10 is interested in task 3.\nHost 9 is interested in task 4.\nHost 2 is interested in task 3.\nHost 6 is interested in task 0.\nHost 2 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 6.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 6 is interested in task 4.\nHost 7 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 5.\nHost 10 is interested in task 6.\nHost 8 is interested in task 8.\nHost 7 is interested in task 6.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1059", "image": "data/matching/graph_visual/hard/graph1059.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 11.\nHost 13 is interested in task 2.\nHost 7 is interested in task 9.\nHost 13 is interested in task 6.\nHost 9 is interested in task 0.\nHost 0 is interested in task 11.\nHost 13 is interested in task 7.\nHost 0 is interested in task 4.\nHost 14 is interested in task 2.\nHost 12 is interested in task 8.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 4 is interested in task 0.\nHost 4 is interested in task 8.\nHost 6 is interested in task 3.\nHost 9 is interested in task 1.\nHost 1 is interested in task 8.\nHost 14 is interested in task 1.\nHost 7 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 2.\nHost 12 is interested in task 5.\nHost 4 is interested in task 7.\nHost 2 is interested in task 6.\nHost 11 is interested in task 6.\nHost 13 is interested in task 10.\nHost 3 is interested in task 8.\nHost 10 is interested in task 4.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 14 is interested in task 4.\nHost 10 is interested in task 2.\nHost 10 is interested in task 5.\nHost 8 is interested in task 0.\nHost 7 is interested in task 1.\nHost 10 is interested in task 9.\nHost 5 is interested in task 0.\nHost 8 is interested in task 9.\nHost 4 is interested in task 11.\nHost 10 is interested in task 1.\nHost 9 is interested in task 11.\nHost 0 is interested in task 10.\nHost 7 is interested in task 7.\nHost 5 is interested in task 7.\nHost 4 is interested in task 10.\nHost 5 is interested in task 2.\nHost 14 is interested in task 0.\nHost 1 is interested in task 7.\nHost 1 is interested in task 11.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 7 is interested in task 10.\nHost 8 is interested in task 8.\nHost 1 is interested in task 0.\nHost 9 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 3.\nHost 12 is interested in task 6.\nHost 7 is interested in task 3.\nHost 1 is interested in task 9.\nHost 11 is interested in task 0.\nHost 4 is interested in task 1.\nHost 0 is interested in task 2.\nHost 3 is interested in task 2.\nHost 7 is interested in task 11.\nHost 13 is interested in task 4.\nHost 4 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 5.\nHost 12 is interested in task 11.\nHost 0 is interested in task 0.\nHost 5 is interested in task 9.\nHost 7 is interested in task 5.\nHost 14 is interested in task 7.\nHost 13 is interested in task 3.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1013", "image": "data/matching/graph_visual/hard/graph1013.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 15.\nHost 0 is interested in task 7.\nHost 5 is interested in task 14.\nHost 8 is interested in task 14.\nHost 4 is interested in task 8.\nHost 7 is interested in task 9.\nHost 10 is interested in task 8.\nHost 12 is interested in task 13.\nHost 8 is interested in task 11.\nHost 10 is interested in task 13.\nHost 10 is interested in task 6.\nHost 13 is interested in task 14.\nHost 13 is interested in task 1.\nHost 1 is interested in task 9.\nHost 9 is interested in task 13.\nHost 5 is interested in task 8.\nHost 8 is interested in task 5.\nHost 11 is interested in task 3.\nHost 3 is interested in task 4.\nHost 1 is interested in task 0.\nHost 6 is interested in task 11.\nHost 9 is interested in task 11.\nHost 8 is interested in task 10.\nHost 5 is interested in task 1.\nHost 3 is interested in task 11.\nHost 11 is interested in task 10.\nHost 12 is interested in task 5.\nHost 13 is interested in task 13.\nHost 10 is interested in task 1.\nHost 8 is interested in task 8.\nHost 0 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 15.\nHost 3 is interested in task 8.\nHost 1 is interested in task 7.\nHost 0 is interested in task 11.\nHost 0 is interested in task 1.\nHost 7 is interested in task 12.\nHost 3 is interested in task 1.\nHost 1 is interested in task 13.\nHost 11 is interested in task 13.\nHost 8 is interested in task 6.\nHost 5 is interested in task 4.\nHost 10 is interested in task 14.\nHost 4 is interested in task 14.\nHost 8 is interested in task 2.\nHost 11 is interested in task 14.\nHost 7 is interested in task 2.\nHost 6 is interested in task 5.\nHost 11 is interested in task 9.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 8 is interested in task 13.\nHost 4 is interested in task 0.\nHost 0 is interested in task 4.\nHost 7 is interested in task 14.\nHost 7 is interested in task 4.\nHost 6 is interested in task 6.\nHost 13 is interested in task 8.\nHost 13 is interested in task 4.\nHost 13 is interested in task 11.\nHost 10 is interested in task 11.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 15.\nHost 4 is interested in task 11.\nHost 13 is interested in task 9.\nHost 0 is interested in task 2.\nHost 2 is interested in task 5.\nHost 5 is interested in task 3.\nHost 7 is interested in task 11.\nHost 4 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 0.\nHost 5 is interested in task 10.\nHost 4 is interested in task 1.\nHost 5 is interested in task 12.\nHost 5 is interested in task 9.\nHost 9 is interested in task 15.\nHost 6 is interested in task 9.\nHost 2 is interested in task 9.\nHost 5 is interested in task 2.\nHost 11 is interested in task 4.\nHost 7 is interested in task 8.\nHost 10 is interested in task 3.\nHost 0 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 14.\nHost 4 is interested in task 5.\nHost 6 is interested in task 7.\nHost 13 is interested in task 10.\nHost 5 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 0.\nHost 11 is interested in task 12.\nHost 0 is interested in task 5.\nHost 10 is interested in task 9.\nHost 10 is interested in task 4.\nHost 5 is interested in task 13.\nHost 0 is interested in task 8.\nHost 9 is interested in task 8.\nHost 12 is interested in task 3.\nHost 12 is interested in task 4.\nHost 6 is interested in task 3.\nHost 1 is interested in task 15.\nHost 7 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1104", "image": "data/matching/graph_visual/hard/graph1104.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 1.\nHost 6 is interested in task 9.\nHost 3 is interested in task 3.\nHost 12 is interested in task 6.\nHost 10 is interested in task 7.\nHost 1 is interested in task 10.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 11 is interested in task 12.\nHost 12 is interested in task 7.\nHost 8 is interested in task 9.\nHost 1 is interested in task 9.\nHost 2 is interested in task 6.\nHost 12 is interested in task 0.\nHost 1 is interested in task 12.\nHost 2 is interested in task 7.\nHost 10 is interested in task 5.\nHost 12 is interested in task 11.\nHost 11 is interested in task 9.\nHost 8 is interested in task 3.\nHost 6 is interested in task 0.\nHost 5 is interested in task 12.\nHost 4 is interested in task 9.\nHost 1 is interested in task 0.\nHost 11 is interested in task 8.\nHost 5 is interested in task 10.\nHost 1 is interested in task 1.\nHost 3 is interested in task 8.\nHost 10 is interested in task 1.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 5 is interested in task 11.\nHost 3 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 7.\nHost 3 is interested in task 11.\nHost 7 is interested in task 6.\nHost 5 is interested in task 5.\nHost 0 is interested in task 5.\nHost 10 is interested in task 6.\nHost 2 is interested in task 1.\nHost 9 is interested in task 12.\nHost 9 is interested in task 2.\nHost 13 is interested in task 1.\nHost 2 is interested in task 0.\nHost 12 is interested in task 9.\nHost 8 is interested in task 2.\nHost 10 is interested in task 0.\nHost 9 is interested in task 1.\nHost 4 is interested in task 4.\nHost 12 is interested in task 8.\nHost 7 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 2.\nHost 11 is interested in task 2.\nHost 4 is interested in task 0.\nHost 6 is interested in task 5.\nHost 0 is interested in task 9.\nHost 2 is interested in task 5.\nHost 3 is interested in task 5.\nHost 11 is interested in task 7.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 7 is interested in task 4.\nHost 0 is interested in task 7.\nHost 2 is interested in task 12.\nHost 8 is interested in task 5.\nHost 12 is interested in task 12.\nHost 2 is interested in task 9.\nHost 12 is interested in task 5.\nHost 14 is interested in task 2.\nHost 7 is interested in task 5.\nHost 9 is interested in task 3.\nHost 9 is interested in task 9.\nHost 6 is interested in task 3.\nHost 2 is interested in task 10.\nHost 7 is interested in task 0.\nHost 4 is interested in task 12.\nHost 1 is interested in task 11.\nHost 11 is interested in task 5.\nHost 4 is interested in task 11.\nHost 14 is interested in task 7.\nHost 12 is interested in task 10.\nHost 14 is interested in task 9.\nHost 10 is interested in task 10.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 0 is interested in task 1.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph214", "image": "data/matching/graph_visual/hard/graph214.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 10 is interested in task 5.\nHost 3 is interested in task 2.\nHost 3 is interested in task 7.\nHost 3 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 7.\nHost 7 is interested in task 2.\nHost 9 is interested in task 4.\nHost 1 is interested in task 2.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 10 is interested in task 0.\nHost 4 is interested in task 5.\nHost 2 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 1.\nHost 6 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 2.\nHost 6 is interested in task 2.\nHost 5 is interested in task 2.\nHost 5 is interested in task 6.\nHost 6 is interested in task 5.\nHost 10 is interested in task 3.\nHost 8 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 6.\nHost 8 is interested in task 6.\nHost 2 is interested in task 6.\nHost 10 is interested in task 7.\nHost 2 is interested in task 7.\nHost 5 is interested in task 1.\nHost 4 is interested in task 6.\nHost 8 is interested in task 0.\nHost 3 is interested in task 4.\nHost 8 is interested in task 3.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph833", "image": "data/matching/graph_visual/hard/graph833.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 1 is interested in task 5.\nHost 9 is interested in task 4.\nHost 7 is interested in task 15.\nHost 12 is interested in task 4.\nHost 1 is interested in task 4.\nHost 9 is interested in task 5.\nHost 5 is interested in task 3.\nHost 8 is interested in task 3.\nHost 5 is interested in task 5.\nHost 8 is interested in task 12.\nHost 9 is interested in task 13.\nHost 4 is interested in task 8.\nHost 4 is interested in task 15.\nHost 5 is interested in task 13.\nHost 12 is interested in task 3.\nHost 6 is interested in task 0.\nHost 0 is interested in task 13.\nHost 3 is interested in task 15.\nHost 11 is interested in task 1.\nHost 7 is interested in task 4.\nHost 6 is interested in task 10.\nHost 8 is interested in task 15.\nHost 11 is interested in task 2.\nHost 8 is interested in task 1.\nHost 2 is interested in task 3.\nHost 10 is interested in task 0.\nHost 10 is interested in task 11.\nHost 9 is interested in task 0.\nHost 1 is interested in task 14.\nHost 7 is interested in task 3.\nHost 2 is interested in task 13.\nHost 6 is interested in task 13.\nHost 4 is interested in task 0.\nHost 4 is interested in task 1.\nHost 9 is interested in task 2.\nHost 7 is interested in task 11.\nHost 8 is interested in task 2.\nHost 7 is interested in task 10.\nHost 1 is interested in task 7.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 8 is interested in task 10.\nHost 11 is interested in task 8.\nHost 6 is interested in task 6.\nHost 10 is interested in task 15.\nHost 12 is interested in task 14.\nHost 9 is interested in task 12.\nHost 5 is interested in task 15.\nHost 5 is interested in task 2.\nHost 12 is interested in task 15.\nHost 11 is interested in task 12.\nHost 8 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 14.\nHost 5 is interested in task 9.\nHost 4 is interested in task 7.\nHost 10 is interested in task 5.\nHost 8 is interested in task 9.\nHost 7 is interested in task 13.\nHost 4 is interested in task 5.\nHost 7 is interested in task 6.\nHost 6 is interested in task 5.\nHost 7 is interested in task 0.\nHost 1 is interested in task 6.\nHost 7 is interested in task 2.\nHost 10 is interested in task 14.\nHost 9 is interested in task 11.\nHost 5 is interested in task 4.\nHost 5 is interested in task 6.\nHost 11 is interested in task 14.\nHost 2 is interested in task 11.\nHost 12 is interested in task 2.\nHost 1 is interested in task 0.\nHost 8 is interested in task 11.\nHost 5 is interested in task 10.\nHost 11 is interested in task 9.\nHost 5 is interested in task 14.\nHost 2 is interested in task 1.\nHost 11 is interested in task 13.\nHost 8 is interested in task 7.\nHost 4 is interested in task 4.\nHost 7 is interested in task 1.\nHost 11 is interested in task 4.\nHost 4 is interested in task 12.\nHost 9 is interested in task 1.\nHost 8 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph580", "image": "data/matching/graph_visual/hard/graph580.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 6.\nHost 9 is interested in task 12.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 0 is interested in task 3.\nHost 8 is interested in task 10.\nHost 0 is interested in task 8.\nHost 0 is interested in task 1.\nHost 3 is interested in task 7.\nHost 0 is interested in task 11.\nHost 6 is interested in task 13.\nHost 3 is interested in task 12.\nHost 1 is interested in task 9.\nHost 1 is interested in task 8.\nHost 6 is interested in task 8.\nHost 9 is interested in task 2.\nHost 0 is interested in task 12.\nHost 1 is interested in task 7.\nHost 5 is interested in task 0.\nHost 2 is interested in task 5.\nHost 7 is interested in task 1.\nHost 1 is interested in task 0.\nHost 7 is interested in task 8.\nHost 2 is interested in task 1.\nHost 11 is interested in task 6.\nHost 8 is interested in task 3.\nHost 8 is interested in task 12.\nHost 8 is interested in task 2.\nHost 4 is interested in task 5.\nHost 4 is interested in task 10.\nHost 2 is interested in task 0.\nHost 1 is interested in task 11.\nHost 4 is interested in task 13.\nHost 8 is interested in task 1.\nHost 1 is interested in task 6.\nHost 2 is interested in task 6.\nHost 1 is interested in task 12.\nHost 9 is interested in task 0.\nHost 6 is interested in task 7.\nHost 6 is interested in task 1.\nHost 2 is interested in task 3.\nHost 6 is interested in task 2.\nHost 9 is interested in task 10.\nHost 3 is interested in task 1.\nHost 6 is interested in task 3.\nHost 1 is interested in task 13.\nHost 2 is interested in task 7.\nHost 1 is interested in task 2.\nHost 11 is interested in task 3.\nHost 2 is interested in task 4.\nHost 6 is interested in task 12.\nHost 9 is interested in task 3.\nHost 8 is interested in task 13.\nHost 9 is interested in task 13.\nHost 5 is interested in task 2.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1190", "image": "data/matching/graph_visual/hard/graph1190.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 12.\nHost 4 is interested in task 0.\nHost 5 is interested in task 9.\nHost 10 is interested in task 1.\nHost 0 is interested in task 9.\nHost 4 is interested in task 6.\nHost 0 is interested in task 10.\nHost 1 is interested in task 9.\nHost 14 is interested in task 2.\nHost 8 is interested in task 7.\nHost 1 is interested in task 5.\nHost 6 is interested in task 0.\nHost 1 is interested in task 15.\nHost 1 is interested in task 10.\nHost 7 is interested in task 1.\nHost 12 is interested in task 3.\nHost 3 is interested in task 11.\nHost 10 is interested in task 5.\nHost 5 is interested in task 4.\nHost 7 is interested in task 10.\nHost 6 is interested in task 1.\nHost 10 is interested in task 10.\nHost 12 is interested in task 8.\nHost 12 is interested in task 13.\nHost 14 is interested in task 1.\nHost 1 is interested in task 6.\nHost 9 is interested in task 1.\nHost 11 is interested in task 5.\nHost 3 is interested in task 9.\nHost 9 is interested in task 15.\nHost 7 is interested in task 2.\nHost 12 is interested in task 15.\nHost 0 is interested in task 2.\nHost 1 is interested in task 1.\nHost 14 is interested in task 13.\nHost 1 is interested in task 8.\nHost 3 is interested in task 5.\nHost 4 is interested in task 5.\nHost 12 is interested in task 9.\nHost 11 is interested in task 3.\nHost 14 is interested in task 10.\nHost 6 is interested in task 8.\nHost 0 is interested in task 0.\nHost 3 is interested in task 8.\nHost 4 is interested in task 13.\nHost 12 is interested in task 10.\nHost 11 is interested in task 2.\nHost 7 is interested in task 6.\nHost 4 is interested in task 4.\nHost 7 is interested in task 12.\nHost 14 is interested in task 7.\nHost 11 is interested in task 9.\nHost 6 is interested in task 2.\nHost 7 is interested in task 3.\nHost 3 is interested in task 10.\nHost 13 is interested in task 12.\nHost 1 is interested in task 11.\nHost 11 is interested in task 4.\nHost 8 is interested in task 0.\nHost 9 is interested in task 2.\nHost 11 is interested in task 0.\nHost 3 is interested in task 12.\nHost 11 is interested in task 10.\nHost 8 is interested in task 14.\nHost 2 is interested in task 7.\nHost 12 is interested in task 12.\nHost 12 is interested in task 5.\nHost 3 is interested in task 13.\nHost 7 is interested in task 5.\nHost 2 is interested in task 1.\nHost 2 is interested in task 13.\nHost 7 is interested in task 0.\nHost 10 is interested in task 4.\nHost 11 is interested in task 14.\nHost 2 is interested in task 10.\nHost 10 is interested in task 9.\nHost 5 is interested in task 15.\nHost 8 is interested in task 2.\nHost 13 is interested in task 5.\nHost 8 is interested in task 1.\nHost 12 is interested in task 11.\nHost 4 is interested in task 11.\nHost 13 is interested in task 8.\nHost 11 is interested in task 8.\nHost 12 is interested in task 0.\nHost 0 is interested in task 11.\nHost 10 is interested in task 2.\nHost 3 is interested in task 3.\nHost 9 is interested in task 14.\nHost 0 is interested in task 13.\nHost 12 is interested in task 1.\nHost 2 is interested in task 6.\nHost 8 is interested in task 12.\nHost 7 is interested in task 9.\nHost 6 is interested in task 12.\nHost 1 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph744", "image": "data/matching/graph_visual/hard/graph744.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 5 is interested in task 10.\nHost 8 is interested in task 11.\nHost 4 is interested in task 0.\nHost 8 is interested in task 1.\nHost 2 is interested in task 8.\nHost 10 is interested in task 5.\nHost 10 is interested in task 1.\nHost 10 is interested in task 12.\nHost 5 is interested in task 5.\nHost 9 is interested in task 1.\nHost 8 is interested in task 10.\nHost 6 is interested in task 7.\nHost 4 is interested in task 11.\nHost 7 is interested in task 6.\nHost 12 is interested in task 7.\nHost 12 is interested in task 9.\nHost 11 is interested in task 1.\nHost 5 is interested in task 12.\nHost 0 is interested in task 1.\nHost 6 is interested in task 11.\nHost 0 is interested in task 10.\nHost 7 is interested in task 12.\nHost 11 is interested in task 6.\nHost 3 is interested in task 11.\nHost 7 is interested in task 2.\nHost 11 is interested in task 7.\nHost 8 is interested in task 12.\nHost 5 is interested in task 3.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 12 is interested in task 0.\nHost 1 is interested in task 7.\nHost 1 is interested in task 8.\nHost 11 is interested in task 10.\nHost 2 is interested in task 12.\nHost 8 is interested in task 3.\nHost 2 is interested in task 9.\nHost 4 is interested in task 1.\nHost 2 is interested in task 10.\nHost 4 is interested in task 9.\nHost 4 is interested in task 8.\nHost 11 is interested in task 9.\nHost 2 is interested in task 4.\nHost 9 is interested in task 0.\nHost 5 is interested in task 11.\nHost 6 is interested in task 4.\nHost 7 is interested in task 5.\nHost 10 is interested in task 4.\nHost 10 is interested in task 7.\nHost 0 is interested in task 11.\nHost 3 is interested in task 10.\nHost 0 is interested in task 2.\nHost 11 is interested in task 11.\nHost 11 is interested in task 2.\nHost 1 is interested in task 11.\nHost 11 is interested in task 4.\nHost 1 is interested in task 3.\nHost 8 is interested in task 7.\nHost 10 is interested in task 2.\nHost 5 is interested in task 7.\nHost 12 is interested in task 12.\nHost 0 is interested in task 9.\nHost 9 is interested in task 10.\nHost 4 is interested in task 4.\nHost 6 is interested in task 3.\nHost 2 is interested in task 7.\nHost 1 is interested in task 12.\nHost 4 is interested in task 7.\nHost 9 is interested in task 7.\nHost 12 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph726", "image": "data/matching/graph_visual/hard/graph726.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 6 is interested in task 0.\nHost 0 is interested in task 11.\nHost 0 is interested in task 5.\nHost 8 is interested in task 0.\nHost 0 is interested in task 6.\nHost 9 is interested in task 9.\nHost 1 is interested in task 2.\nHost 5 is interested in task 9.\nHost 1 is interested in task 10.\nHost 3 is interested in task 0.\nHost 12 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 1.\nHost 8 is interested in task 1.\nHost 4 is interested in task 5.\nHost 8 is interested in task 11.\nHost 4 is interested in task 12.\nHost 5 is interested in task 11.\nHost 8 is interested in task 2.\nHost 1 is interested in task 7.\nHost 1 is interested in task 9.\nHost 10 is interested in task 2.\nHost 8 is interested in task 5.\nHost 5 is interested in task 4.\nHost 7 is interested in task 2.\nHost 5 is interested in task 7.\nHost 7 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 8.\nHost 8 is interested in task 7.\nHost 0 is interested in task 9.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 1 is interested in task 5.\nHost 1 is interested in task 8.\nHost 4 is interested in task 7.\nHost 11 is interested in task 1.\nHost 4 is interested in task 11.\nHost 8 is interested in task 4.\nHost 8 is interested in task 12.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 9 is interested in task 3.\nHost 8 is interested in task 8.\nHost 0 is interested in task 12.\nHost 10 is interested in task 8.\nHost 12 is interested in task 5.\nHost 10 is interested in task 10.\nHost 4 is interested in task 8.\nHost 7 is interested in task 10.\nHost 0 is interested in task 3.\nHost 3 is interested in task 2.\nHost 9 is interested in task 11.\nHost 7 is interested in task 3.\nHost 10 is interested in task 9.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 4 is interested in task 9.\nHost 6 is interested in task 3.\nHost 6 is interested in task 9.\nHost 12 is interested in task 0.\nHost 9 is interested in task 2.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph814", "image": "data/matching/graph_visual/hard/graph814.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 5 is interested in task 13.\nHost 8 is interested in task 0.\nHost 2 is interested in task 14.\nHost 0 is interested in task 5.\nHost 12 is interested in task 14.\nHost 10 is interested in task 13.\nHost 1 is interested in task 6.\nHost 0 is interested in task 14.\nHost 2 is interested in task 13.\nHost 6 is interested in task 5.\nHost 0 is interested in task 9.\nHost 6 is interested in task 14.\nHost 1 is interested in task 15.\nHost 12 is interested in task 9.\nHost 5 is interested in task 14.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 0 is interested in task 8.\nHost 0 is interested in task 11.\nHost 7 is interested in task 1.\nHost 11 is interested in task 3.\nHost 11 is interested in task 0.\nHost 5 is interested in task 4.\nHost 3 is interested in task 2.\nHost 10 is interested in task 0.\nHost 10 is interested in task 8.\nHost 4 is interested in task 3.\nHost 0 is interested in task 6.\nHost 0 is interested in task 3.\nHost 7 is interested in task 14.\nHost 2 is interested in task 1.\nHost 10 is interested in task 14.\nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 12 is interested in task 11.\nHost 8 is interested in task 1.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 7 is interested in task 15.\nHost 3 is interested in task 4.\nHost 1 is interested in task 8.\nHost 5 is interested in task 2.\nHost 11 is interested in task 6.\nHost 1 is interested in task 13.\nHost 3 is interested in task 15.\nHost 8 is interested in task 4.\nHost 1 is interested in task 7.\nHost 5 is interested in task 11.\nHost 1 is interested in task 12.\nHost 8 is interested in task 8.\nHost 1 is interested in task 14.\nHost 8 is interested in task 15.\nHost 5 is interested in task 3.\nHost 12 is interested in task 5.\nHost 7 is interested in task 9.\nHost 1 is interested in task 1.\nHost 11 is interested in task 4.\nHost 1 is interested in task 9.\nHost 8 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 6.\nHost 7 is interested in task 3.\nHost 6 is interested in task 10.\nHost 5 is interested in task 9.\nHost 10 is interested in task 5.\nHost 0 is interested in task 10.\nHost 8 is interested in task 12.\nHost 10 is interested in task 1.\nHost 6 is interested in task 1.\nHost 5 is interested in task 1.\nHost 10 is interested in task 3.\nHost 6 is interested in task 11.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph45", "image": "data/matching/graph_visual/hard/graph45.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 7.\nHost 7 is interested in task 3.\nHost 4 is interested in task 0.\nHost 8 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 7.\nHost 5 is interested in task 7.\nHost 5 is interested in task 3.\nHost 2 is interested in task 5.\nHost 7 is interested in task 0.\nHost 3 is interested in task 0.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 8 is interested in task 7.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 9 is interested in task 5.\nHost 9 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 7 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 4.\nHost 5 is interested in task 2.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 5.\nHost 3 is interested in task 4.\nHost 2 is interested in task 1.\nHost 4 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 7.\nHost 0 is interested in task 2.\nHost 9 is interested in task 6.\nHost 6 is interested in task 4.\nHost 9 is interested in task 4.\nHost 2 is interested in task 4.\nHost 1 is interested in task 6.\nHost 7 is interested in task 1.\nHost 9 is interested in task 0.\nHost 5 is interested in task 1.\nHost 7 is interested in task 4.\nHost 1 is interested in task 5.\nHost 3 is interested in task 6.\nHost 6 is interested in task 2.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph82", "image": "data/matching/graph_visual/hard/graph82.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 9 is interested in task 8.\nHost 1 is interested in task 8.\nHost 4 is interested in task 0.\nHost 4 is interested in task 7.\nHost 7 is interested in task 7.\nHost 9 is interested in task 7.\nHost 8 is interested in task 7.\nHost 9 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 8.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 9 is interested in task 2.\nHost 8 is interested in task 4.\nHost 8 is interested in task 0.\nHost 8 is interested in task 5.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 6 is interested in task 0.\nHost 4 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 7.\nHost 4 is interested in task 8.\nHost 8 is interested in task 8.\nHost 5 is interested in task 2.\nHost 9 is interested in task 5.\nHost 0 is interested in task 1.\nHost 6 is interested in task 3.\nHost 2 is interested in task 3.\nHost 8 is interested in task 1.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 4.\nHost 1 is interested in task 7.\nHost 0 is interested in task 8.\nHost 9 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph230", "image": "data/matching/graph_visual/hard/graph230.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 6 is interested in task 7.\nHost 9 is interested in task 5.\nHost 6 is interested in task 4.\nHost 4 is interested in task 4.\nHost 5 is interested in task 0.\nHost 3 is interested in task 6.\nHost 9 is interested in task 3.\nHost 0 is interested in task 6.\nHost 8 is interested in task 4.\nHost 2 is interested in task 3.\nHost 8 is interested in task 7.\nHost 6 is interested in task 0.\nHost 4 is interested in task 6.\nHost 10 is interested in task 7.\nHost 8 is interested in task 5.\nHost 7 is interested in task 1.\nHost 5 is interested in task 3.\nHost 6 is interested in task 1.\nHost 5 is interested in task 5.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 0 is interested in task 7.\nHost 10 is interested in task 0.\nHost 10 is interested in task 1.\nHost 3 is interested in task 7.\nHost 3 is interested in task 2.\nHost 7 is interested in task 2.\nHost 1 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 6.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 6 is interested in task 2.\nHost 5 is interested in task 4.\nHost 8 is interested in task 0.\nHost 10 is interested in task 3.\nHost 9 is interested in task 0.\nHost 7 is interested in task 0.\nHost 1 is interested in task 6.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph408", "image": "data/matching/graph_visual/hard/graph408.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 4 is interested in task 0.\nHost 5 is interested in task 1.\nHost 6 is interested in task 9.\nHost 0 is interested in task 8.\nHost 3 is interested in task 9.\nHost 9 is interested in task 9.\nHost 10 is interested in task 1.\nHost 9 is interested in task 1.\nHost 4 is interested in task 9.\nHost 2 is interested in task 6.\nHost 5 is interested in task 10.\nHost 9 is interested in task 7.\nHost 1 is interested in task 4.\nHost 0 is interested in task 13.\nHost 7 is interested in task 4.\nHost 3 is interested in task 10.\nHost 3 is interested in task 12.\nHost 3 is interested in task 11.\nHost 4 is interested in task 5.\nHost 8 is interested in task 11.\nHost 9 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 6.\nHost 10 is interested in task 10.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 10 is interested in task 5.\nHost 4 is interested in task 11.\nHost 7 is interested in task 6.\nHost 3 is interested in task 8.\nHost 5 is interested in task 13.\nHost 2 is interested in task 2.\nHost 10 is interested in task 9.\nHost 10 is interested in task 0.\nHost 3 is interested in task 0.\nHost 9 is interested in task 0.\nHost 9 is interested in task 11.\nHost 1 is interested in task 5.\nHost 7 is interested in task 1.\nHost 4 is interested in task 8.\nHost 1 is interested in task 13.\nHost 7 is interested in task 11.\nHost 0 is interested in task 10.\nHost 5 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 7.\nHost 5 is interested in task 12.\nHost 9 is interested in task 4.\nHost 1 is interested in task 7.\nHost 7 is interested in task 5.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 10 is interested in task 12.\nHost 6 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 13.\nHost 5 is interested in task 2.\nHost 9 is interested in task 13.\nHost 0 is interested in task 3.\nHost 6 is interested in task 11.\nHost 9 is interested in task 12.\nHost 8 is interested in task 8.\nHost 2 is interested in task 12.\nHost 3 is interested in task 1.\nHost 1 is interested in task 9.\nHost 5 is interested in task 11.\nHost 0 is interested in task 0.\nHost 4 is interested in task 7.\nHost 1 is interested in task 1.\nHost 1 is interested in task 2.\nHost 8 is interested in task 9.\nHost 8 is interested in task 7.\nHost 5 is interested in task 8.\nHost 8 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph921", "image": "data/matching/graph_visual/hard/graph921.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 6.\nHost 0 is interested in task 0.\nHost 12 is interested in task 11.\nHost 3 is interested in task 4.\nHost 13 is interested in task 8.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 0 is interested in task 9.\nHost 13 is interested in task 0.\nHost 2 is interested in task 7.\nHost 1 is interested in task 6.\nHost 9 is interested in task 0.\nHost 6 is interested in task 9.\nHost 7 is interested in task 3.\nHost 8 is interested in task 6.\nHost 3 is interested in task 9.\nHost 3 is interested in task 6.\nHost 4 is interested in task 2.\nHost 6 is interested in task 2.\nHost 7 is interested in task 8.\nHost 1 is interested in task 8.\nHost 13 is interested in task 4.\nHost 0 is interested in task 11.\nHost 8 is interested in task 10.\nHost 1 is interested in task 9.\nHost 9 is interested in task 5.\nHost 3 is interested in task 10.\nHost 1 is interested in task 12.\nHost 5 is interested in task 4.\nHost 10 is interested in task 4.\nHost 0 is interested in task 6.\nHost 1 is interested in task 10.\nHost 12 is interested in task 12.\nHost 3 is interested in task 12.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 13 is interested in task 12.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 8 is interested in task 8.\nHost 12 is interested in task 0.\nHost 0 is interested in task 10.\nHost 4 is interested in task 12.\nHost 0 is interested in task 1.\nHost 8 is interested in task 11.\nHost 9 is interested in task 11.\nHost 11 is interested in task 4.\nHost 4 is interested in task 9.\nHost 4 is interested in task 5.\nHost 5 is interested in task 10.\nHost 10 is interested in task 7.\nHost 8 is interested in task 9.\nHost 10 is interested in task 10.\nHost 7 is interested in task 2.\nHost 13 is interested in task 7.\nHost 6 is interested in task 11.\nHost 9 is interested in task 8.\nHost 7 is interested in task 7.\nHost 11 is interested in task 2.\nHost 0 is interested in task 2.\nHost 8 is interested in task 4.\nHost 13 is interested in task 3.\nHost 11 is interested in task 7.\nHost 8 is interested in task 2.\nHost 10 is interested in task 3.\nHost 5 is interested in task 9.\nHost 8 is interested in task 7.\nHost 0 is interested in task 8.\nHost 4 is interested in task 1.\nHost 13 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1241", "image": "data/matching/graph_visual/hard/graph1241.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 15.\nHost 12 is interested in task 4.\nHost 6 is interested in task 15.\nHost 12 is interested in task 3.\nHost 13 is interested in task 10.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 2 is interested in task 5.\nHost 0 is interested in task 12.\nHost 12 is interested in task 8.\nHost 0 is interested in task 17.\nHost 0 is interested in task 6.\nHost 1 is interested in task 16.\nHost 14 is interested in task 5.\nHost 10 is interested in task 14.\nHost 4 is interested in task 8.\nHost 7 is interested in task 14.\nHost 12 is interested in task 11.\nHost 11 is interested in task 13.\nHost 5 is interested in task 14.\nHost 8 is interested in task 8.\nHost 5 is interested in task 5.\nHost 2 is interested in task 13.\nHost 9 is interested in task 0.\nHost 8 is interested in task 4.\nHost 3 is interested in task 16.\nHost 13 is interested in task 1.\nHost 0 is interested in task 7.\nHost 2 is interested in task 14.\nHost 14 is interested in task 2.\nHost 9 is interested in task 6.\nHost 9 is interested in task 7.\nHost 14 is interested in task 13.\nHost 4 is interested in task 7.\nHost 11 is interested in task 16.\nHost 4 is interested in task 17.\nHost 13 is interested in task 6.\nHost 0 is interested in task 14.\nHost 13 is interested in task 15.\nHost 5 is interested in task 1.\nHost 6 is interested in task 4.\nHost 3 is interested in task 15.\nHost 3 is interested in task 10.\nHost 13 is interested in task 16.\nHost 1 is interested in task 10.\nHost 2 is interested in task 11.\nHost 12 is interested in task 13.\nHost 4 is interested in task 11.\nHost 10 is interested in task 9.\nHost 0 is interested in task 11.\nHost 3 is interested in task 9.\nHost 5 is interested in task 4.\nHost 9 is interested in task 14.\nHost 11 is interested in task 10.\nHost 7 is interested in task 2.\nHost 5 is interested in task 17.\nHost 14 is interested in task 16.\nHost 2 is interested in task 6.\nHost 0 is interested in task 8.\nHost 3 is interested in task 4.\nHost 11 is interested in task 5.\nHost 3 is interested in task 2.\nHost 9 is interested in task 9.\nHost 10 is interested in task 13.\nHost 12 is interested in task 16.\nHost 2 is interested in task 16.\nHost 4 is interested in task 15.\nHost 12 is interested in task 5.\nHost 2 is interested in task 17.\nHost 4 is interested in task 4.\nHost 11 is interested in task 15.\nHost 13 is interested in task 3.\nHost 2 is interested in task 8.\nHost 10 is interested in task 7.\nHost 8 is interested in task 15.\nHost 12 is interested in task 10.\nHost 12 is interested in task 14.\nHost 14 is interested in task 9.\nHost 6 is interested in task 10.\nHost 14 is interested in task 11.\nHost 6 is interested in task 14.\nHost 1 is interested in task 15.\nHost 0 is interested in task 15.\nHost 5 is interested in task 13.\nHost 2 is interested in task 9.\nHost 3 is interested in task 14.\nHost 2 is interested in task 3.\nHost 11 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph159", "image": "data/matching/graph_visual/hard/graph159.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 2.\nHost 1 is interested in task 10.\nHost 7 is interested in task 4.\nHost 7 is interested in task 7.\nHost 9 is interested in task 4.\nHost 5 is interested in task 0.\nHost 4 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 6.\nHost 5 is interested in task 11.\nHost 2 is interested in task 8.\nHost 1 is interested in task 9.\nHost 8 is interested in task 7.\nHost 1 is interested in task 4.\nHost 6 is interested in task 3.\nHost 9 is interested in task 7.\nHost 8 is interested in task 4.\nHost 5 is interested in task 6.\nHost 1 is interested in task 0.\nHost 5 is interested in task 9.\nHost 6 is interested in task 4.\nHost 2 is interested in task 5.\nHost 3 is interested in task 9.\nHost 8 is interested in task 9.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 7 is interested in task 1.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 5 is interested in task 10.\nHost 8 is interested in task 3.\nHost 6 is interested in task 10.\nHost 2 is interested in task 0.\nHost 9 is interested in task 1.\nHost 5 is interested in task 8.\nHost 3 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 6.\nHost 9 is interested in task 6.\nHost 5 is interested in task 7.\nHost 0 is interested in task 1.\nHost 2 is interested in task 11.\nHost 0 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph785", "image": "data/matching/graph_visual/hard/graph785.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 12.\nHost 11 is interested in task 11.\nHost 12 is interested in task 12.\nHost 9 is interested in task 12.\nHost 0 is interested in task 14.\nHost 9 is interested in task 1.\nHost 1 is interested in task 11.\nHost 6 is interested in task 9.\nHost 9 is interested in task 14.\nHost 5 is interested in task 9.\nHost 11 is interested in task 9.\nHost 2 is interested in task 2.\nHost 5 is interested in task 11.\nHost 4 is interested in task 13.\nHost 4 is interested in task 4.\nHost 12 is interested in task 6.\nHost 8 is interested in task 11.\nHost 0 is interested in task 0.\nHost 1 is interested in task 4.\nHost 2 is interested in task 7.\nHost 10 is interested in task 14.\nHost 11 is interested in task 6.\nHost 12 is interested in task 4.\nHost 6 is interested in task 14.\nHost 5 is interested in task 12.\nHost 10 is interested in task 2.\nHost 6 is interested in task 10.\nHost 4 is interested in task 3.\nHost 6 is interested in task 5.\nHost 1 is interested in task 12.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 11 is interested in task 2.\nHost 11 is interested in task 8.\nHost 4 is interested in task 1.\nHost 8 is interested in task 2.\nHost 8 is interested in task 14.\nHost 2 is interested in task 9.\nHost 6 is interested in task 1.\nHost 6 is interested in task 11.\nHost 2 is interested in task 13.\nHost 9 is interested in task 5.\nHost 0 is interested in task 9.\nHost 12 is interested in task 10.\nHost 6 is interested in task 7.\nHost 0 is interested in task 4.\nHost 7 is interested in task 14.\nHost 11 is interested in task 3.\nHost 10 is interested in task 3.\nHost 12 is interested in task 11.\nHost 7 is interested in task 7.\nHost 6 is interested in task 6.\nHost 6 is interested in task 0.\nHost 12 is interested in task 0.\nHost 11 is interested in task 1.\nHost 3 is interested in task 2.\nHost 11 is interested in task 5.\nHost 8 is interested in task 5.\nHost 6 is interested in task 13.\nHost 5 is interested in task 3.\nHost 7 is interested in task 3.\nHost 8 is interested in task 6.\nHost 2 is interested in task 12.\nHost 0 is interested in task 11.\nHost 9 is interested in task 0.\nHost 0 is interested in task 6.\nHost 1 is interested in task 0.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1115", "image": "data/matching/graph_visual/hard/graph1115.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 4.\nHost 6 is interested in task 0.\nHost 14 is interested in task 12.\nHost 5 is interested in task 3.\nHost 9 is interested in task 12.\nHost 3 is interested in task 8.\nHost 7 is interested in task 12.\nHost 11 is interested in task 8.\nHost 1 is interested in task 7.\nHost 7 is interested in task 0.\nHost 9 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 8.\nHost 10 is interested in task 1.\nHost 3 is interested in task 5.\nHost 13 is interested in task 9.\nHost 0 is interested in task 9.\nHost 4 is interested in task 10.\nHost 4 is interested in task 13.\nHost 13 is interested in task 12.\nHost 13 is interested in task 1.\nHost 13 is interested in task 5.\nHost 14 is interested in task 4.\nHost 0 is interested in task 12.\nHost 4 is interested in task 4.\nHost 4 is interested in task 12.\nHost 12 is interested in task 0.\nHost 13 is interested in task 6.\nHost 0 is interested in task 10.\nHost 0 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 12.\nHost 6 is interested in task 9.\nHost 3 is interested in task 0.\nHost 6 is interested in task 13.\nHost 5 is interested in task 4.\nHost 9 is interested in task 11.\nHost 9 is interested in task 13.\nHost 14 is interested in task 9.\nHost 9 is interested in task 9.\nHost 11 is interested in task 5.\nHost 1 is interested in task 9.\nHost 5 is interested in task 1.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 12 is interested in task 12.\nHost 6 is interested in task 11.\nHost 12 is interested in task 5.\nHost 3 is interested in task 9.\nHost 11 is interested in task 6.\nHost 13 is interested in task 10.\nHost 4 is interested in task 3.\nHost 10 is interested in task 11.\nHost 11 is interested in task 12.\nHost 8 is interested in task 7.\nHost 8 is interested in task 13.\nHost 1 is interested in task 6.\nHost 11 is interested in task 0.\nHost 12 is interested in task 3.\nHost 7 is interested in task 10.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 2 is interested in task 10.\nHost 6 is interested in task 2.\nHost 8 is interested in task 2.\nHost 6 is interested in task 5.\nHost 11 is interested in task 11.\nHost 11 is interested in task 9.\nHost 11 is interested in task 10.\nHost 2 is interested in task 3.\nHost 7 is interested in task 5.\nHost 3 is interested in task 13.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1.\nHost 12 is interested in task 10.\nHost 3 is interested in task 10.\nHost 0 is interested in task 7.\nHost 14 is interested in task 6.\nHost 12 is interested in task 2.\nHost 8 is interested in task 10.\nHost 3 is interested in task 7.\nHost 3 is interested in task 12.\nHost 13 is interested in task 2.\nHost 7 is interested in task 7.\nHost 8 is interested in task 6.\nHost 13 is interested in task 0.\nHost 2 is interested in task 1.\nHost 5 is interested in task 13.\nHost 5 is interested in task 0.\nHost 0 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1140", "image": "data/matching/graph_visual/hard/graph1140.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 1.\nHost 5 is interested in task 5.\nHost 7 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 11 is interested in task 9.\nHost 13 is interested in task 3.\nHost 14 is interested in task 6.\nHost 14 is interested in task 5.\nHost 7 is interested in task 11.\nHost 9 is interested in task 5.\nHost 6 is interested in task 9.\nHost 13 is interested in task 13.\nHost 8 is interested in task 5.\nHost 12 is interested in task 1.\nHost 4 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 14.\nHost 13 is interested in task 4.\nHost 6 is interested in task 13.\nHost 3 is interested in task 11.\nHost 4 is interested in task 11.\nHost 3 is interested in task 13.\nHost 1 is interested in task 2.\nHost 13 is interested in task 10.\nHost 6 is interested in task 0.\nHost 5 is interested in task 12.\nHost 8 is interested in task 0.\nHost 13 is interested in task 2.\nHost 11 is interested in task 5.\nHost 8 is interested in task 7.\nHost 6 is interested in task 8.\nHost 8 is interested in task 4.\nHost 10 is interested in task 14.\nHost 9 is interested in task 0.\nHost 12 is interested in task 13.\nHost 13 is interested in task 12.\nHost 9 is interested in task 10.\nHost 12 is interested in task 8.\nHost 2 is interested in task 10.\nHost 9 is interested in task 6.\nHost 11 is interested in task 2.\nHost 12 is interested in task 5.\nHost 3 is interested in task 9.\nHost 4 is interested in task 2.\nHost 3 is interested in task 7.\nHost 13 is interested in task 6.\nHost 8 is interested in task 11.\nHost 4 is interested in task 10.\nHost 7 is interested in task 9.\nHost 3 is interested in task 1.\nHost 8 is interested in task 14.\nHost 2 is interested in task 9.\nHost 6 is interested in task 4.\nHost 4 is interested in task 4.\nHost 10 is interested in task 2.\nHost 13 is interested in task 9.\nHost 6 is interested in task 5.\nHost 9 is interested in task 4.\nHost 4 is interested in task 13.\nHost 8 is interested in task 13.\nHost 2 is interested in task 11.\nHost 13 is interested in task 0.\nHost 6 is interested in task 7.\nHost 1 is interested in task 7.\nHost 7 is interested in task 8.\nHost 9 is interested in task 11.\nHost 11 is interested in task 13.\nHost 1 is interested in task 14.\nHost 14 is interested in task 7.\nHost 1 is interested in task 1.\nHost 2 is interested in task 8.\nHost 4 is interested in task 8.\nHost 6 is interested in task 6.\nHost 2 is interested in task 13.\nHost 4 is interested in task 3.\nHost 12 is interested in task 9.\nHost 3 is interested in task 14.\nHost 14 is interested in task 10.\nHost 9 is interested in task 7.\nHost 13 is interested in task 7.\nHost 8 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph188", "image": "data/matching/graph_visual/hard/graph188.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 0 is interested in task 9.\nHost 5 is interested in task 10.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 2 is interested in task 6.\nHost 8 is interested in task 4.\nHost 5 is interested in task 12.\nHost 0 is interested in task 8.\nHost 9 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 10.\nHost 3 is interested in task 11.\nHost 3 is interested in task 6.\nHost 1 is interested in task 1.\nHost 1 is interested in task 6.\nHost 0 is interested in task 11.\nHost 7 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 10.\nHost 1 is interested in task 12.\nHost 0 is interested in task 6.\nHost 9 is interested in task 7.\nHost 9 is interested in task 8.\nHost 4 is interested in task 1.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 9 is interested in task 2.\nHost 8 is interested in task 9.\nHost 7 is interested in task 5.\nHost 9 is interested in task 4.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 1 is interested in task 3.\nHost 5 is interested in task 8.\nHost 3 is interested in task 3.\nHost 7 is interested in task 12.\nHost 0 is interested in task 10.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 7 is interested in task 2.\nHost 4 is interested in task 10.\nHost 2 is interested in task 12.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 6 is interested in task 0.\nHost 3 is interested in task 7.\nHost 8 is interested in task 12.\nHost 9 is interested in task 1.\nHost 4 is interested in task 4.\nHost 1 is interested in task 9.\nHost 8 is interested in task 5.\nHost 3 is interested in task 12.\nHost 1 is interested in task 0.\nHost 7 is interested in task 1.\nHost 2 is interested in task 9.\nHost 1 is interested in task 5.\nHost 9 is interested in task 9.\nHost 6 is interested in task 2.\nHost 0 is interested in task 5.\nHost 2 is interested in task 10.\nHost 6 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph340", "image": "data/matching/graph_visual/hard/graph340.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 7 is interested in task 9.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 10 is interested in task 0.\nHost 6 is interested in task 10.\nHost 6 is interested in task 11.\nHost 5 is interested in task 1.\nHost 1 is interested in task 7.\nHost 5 is interested in task 7.\nHost 10 is interested in task 6.\nHost 2 is interested in task 7.\nHost 10 is interested in task 11.\nHost 0 is interested in task 5.\nHost 1 is interested in task 10.\nHost 1 is interested in task 11.\nHost 0 is interested in task 8.\nHost 6 is interested in task 4.\nHost 1 is interested in task 2.\nHost 10 is interested in task 3.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 10.\nHost 8 is interested in task 10.\nHost 8 is interested in task 3.\nHost 8 is interested in task 9.\nHost 9 is interested in task 3.\nHost 10 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 10.\nHost 9 is interested in task 8.\nHost 10 is interested in task 5.\nHost 6 is interested in task 6.\nHost 4 is interested in task 1.\nHost 10 is interested in task 2.\nHost 5 is interested in task 8.\nHost 10 is interested in task 8.\nHost 3 is interested in task 4.\nHost 8 is interested in task 6.\nHost 5 is interested in task 5.\nHost 9 is interested in task 4.\nHost 0 is interested in task 7.\nHost 2 is interested in task 8.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5.\nHost 9 is interested in task 11.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 3 is interested in task 8.\nHost 3 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 11.\nHost 3 is interested in task 9.\nHost 9 is interested in task 7.\nHost 6 is interested in task 9.\nHost 5 is interested in task 4.\nHost 4 is interested in task 4.\nHost 3 is interested in task 11.\nHost 7 is interested in task 0.\nHost 6 is interested in task 0.\nHost 8 is interested in task 8.\nHost 8 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph249", "image": "data/matching/graph_visual/hard/graph249.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 10 is interested in task 3.\nHost 7 is interested in task 3.\nHost 3 is interested in task 6.\nHost 8 is interested in task 3.\nHost 2 is interested in task 7.\nHost 1 is interested in task 7.\nHost 6 is interested in task 7.\nHost 10 is interested in task 0.\nHost 8 is interested in task 4.\nHost 0 is interested in task 6.\nHost 10 is interested in task 6.\nHost 9 is interested in task 1.\nHost 7 is interested in task 4.\nHost 8 is interested in task 5.\nHost 8 is interested in task 7.\nHost 10 is interested in task 2.\nHost 10 is interested in task 5.\nHost 5 is interested in task 7.\nHost 0 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 4.\nHost 6 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 8 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 0.\nHost 1 is interested in task 6.\nHost 9 is interested in task 7.\nHost 6 is interested in task 5.\nHost 7 is interested in task 8.\nHost 1 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 2.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph557", "image": "data/matching/graph_visual/hard/graph557.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 2 is interested in task 6.\nHost 5 is interested in task 11.\nHost 10 is interested in task 6.\nHost 0 is interested in task 12.\nHost 11 is interested in task 11.\nHost 10 is interested in task 12.\nHost 7 is interested in task 4.\nHost 0 is interested in task 2.\nHost 8 is interested in task 6.\nHost 1 is interested in task 5.\nHost 9 is interested in task 8.\nHost 3 is interested in task 5.\nHost 6 is interested in task 6.\nHost 7 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 7.\nHost 8 is interested in task 2.\nHost 7 is interested in task 7.\nHost 6 is interested in task 8.\nHost 9 is interested in task 3.\nHost 4 is interested in task 12.\nHost 11 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 2.\nHost 3 is interested in task 7.\nHost 8 is interested in task 12.\nHost 3 is interested in task 8.\nHost 1 is interested in task 9.\nHost 1 is interested in task 7.\nHost 7 is interested in task 6.\nHost 0 is interested in task 0.\nHost 4 is interested in task 7.\nHost 4 is interested in task 1.\nHost 10 is interested in task 10.\nHost 11 is interested in task 4.\nHost 11 is interested in task 8.\nHost 3 is interested in task 0.\nHost 11 is interested in task 1.\nHost 7 is interested in task 0.\nHost 11 is interested in task 9.\nHost 11 is interested in task 10.\nHost 8 is interested in task 4.\nHost 4 is interested in task 11.\nHost 0 is interested in task 3.\nHost 7 is interested in task 11.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 3 is interested in task 3.\nHost 2 is interested in task 8.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 11 is interested in task 0.\nHost 11 is interested in task 3.\nHost 3 is interested in task 12.\nHost 7 is interested in task 9.\nHost 9 is interested in task 12.\nHost 9 is interested in task 1.\nHost 5 is interested in task 8.\nHost 6 is interested in task 11.\nHost 10 is interested in task 5.\nHost 9 is interested in task 4.\nHost 1 is interested in task 1.\nHost 7 is interested in task 12.\nHost 1 is interested in task 10.\nHost 3 is interested in task 11.\nHost 3 is interested in task 4.\nHost 9 is interested in task 2.\nHost 3 is interested in task 2.\nHost 7 is interested in task 10.\nHost 8 is interested in task 11.\nHost 4 is interested in task 2.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 9 is interested in task 9.\nHost 1 is interested in task 4.\nHost 8 is interested in task 9.\nHost 9 is interested in task 0.\nHost 10 is interested in task 2.\nHost 9 is interested in task 7.\nHost 1 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph451", "image": "data/matching/graph_visual/hard/graph451.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 9.\nHost 9 is interested in task 8.\nHost 1 is interested in task 0.\nHost 8 is interested in task 6.\nHost 11 is interested in task 1.\nHost 6 is interested in task 9.\nHost 10 is interested in task 7.\nHost 6 is interested in task 1.\nHost 5 is interested in task 7.\nHost 4 is interested in task 9.\nHost 10 is interested in task 0.\nHost 3 is interested in task 1.\nHost 5 is interested in task 9.\nHost 0 is interested in task 0.\nHost 5 is interested in task 2.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 4 is interested in task 5.\nHost 9 is interested in task 6.\nHost 1 is interested in task 2.\nHost 11 is interested in task 3.\nHost 10 is interested in task 3.\nHost 3 is interested in task 5.\nHost 11 is interested in task 5.\nHost 10 is interested in task 8.\nHost 2 is interested in task 6.\nHost 2 is interested in task 8.\nHost 10 is interested in task 4.\nHost 4 is interested in task 8.\nHost 11 is interested in task 0.\nHost 10 is interested in task 9.\nHost 6 is interested in task 7.\nHost 7 is interested in task 2.\nHost 10 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 3 is interested in task 3.\nHost 5 is interested in task 8.\nHost 11 is interested in task 9.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1031", "image": "data/matching/graph_visual/hard/graph1031.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 12.\nHost 0 is interested in task 16.\nHost 9 is interested in task 4.\nHost 8 is interested in task 11.\nHost 1 is interested in task 2.\nHost 9 is interested in task 1.\nHost 11 is interested in task 15.\nHost 10 is interested in task 10.\nHost 8 is interested in task 6.\nHost 2 is interested in task 8.\nHost 7 is interested in task 7.\nHost 3 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 3.\nHost 6 is interested in task 15.\nHost 2 is interested in task 1.\nHost 5 is interested in task 5.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 3.\nHost 1 is interested in task 15.\nHost 8 is interested in task 10.\nHost 9 is interested in task 2.\nHost 6 is interested in task 7.\nHost 4 is interested in task 3.\nHost 3 is interested in task 8.\nHost 2 is interested in task 3.\nHost 10 is interested in task 13.\nHost 1 is interested in task 10.\nHost 6 is interested in task 6.\nHost 11 is interested in task 14.\nHost 5 is interested in task 14.\nHost 13 is interested in task 10.\nHost 11 is interested in task 3.\nHost 2 is interested in task 15.\nHost 4 is interested in task 13.\nHost 8 is interested in task 4.\nHost 11 is interested in task 2.\nHost 5 is interested in task 4.\nHost 6 is interested in task 12.\nHost 3 is interested in task 3.\nHost 2 is interested in task 10.\nHost 8 is interested in task 16.\nHost 2 is interested in task 13.\nHost 4 is interested in task 15.\nHost 1 is interested in task 16.\nHost 12 is interested in task 12.\nHost 0 is interested in task 11.\nHost 7 is interested in task 8.\nHost 8 is interested in task 9.\nHost 5 is interested in task 16.\nHost 12 is interested in task 8.\nHost 3 is interested in task 1.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 8 is interested in task 15.\nHost 0 is interested in task 1.\nHost 0 is interested in task 14.\nHost 7 is interested in task 16.\nHost 10 is interested in task 16.\nHost 11 is interested in task 10.\nHost 3 is interested in task 5.\nHost 8 is interested in task 8.\nHost 9 is interested in task 12.\nHost 6 is interested in task 0.\nHost 6 is interested in task 8.\nHost 7 is interested in task 2.\nHost 6 is interested in task 9.\nHost 12 is interested in task 2.\nHost 8 is interested in task 3.\nHost 9 is interested in task 10.\nHost 4 is interested in task 16.\nHost 7 is interested in task 14.\nHost 9 is interested in task 6.\nHost 5 is interested in task 3.\nHost 11 is interested in task 0.\nHost 0 is interested in task 0.\nHost 4 is interested in task 12.\nHost 12 is interested in task 15.\nHost 2 is interested in task 6.\nHost 2 is interested in task 16.\nHost 8 is interested in task 2.\nHost 12 is interested in task 6.\nHost 6 is interested in task 10.\nHost 10 is interested in task 11.\nHost 9 is interested in task 14.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3.\nHost 11 is interested in task 12.\nHost 4 is interested in task 8.\nHost 12 is interested in task 11.\nHost 7 is interested in task 11.\nHost 0 is interested in task 8.\nHost 12 is interested in task 16.\nHost 12 is interested in task 5.\nHost 6 is interested in task 14.\nHost 11 is interested in task 7.\nHost 10 is interested in task 14.\nHost 4 is interested in task 11.\nHost 5 is interested in task 2.\nHost 6 is interested in task 11.\nHost 10 is interested in task 7.\nHost 3 is interested in task 7.\nHost 12 is interested in task 4.\nHost 6 is interested in task 13.\nHost 10 is interested in task 6.\nHost 7 is interested in task 3.\nHost 12 is interested in task 3.\nHost 3 is interested in task 4.\nHost 7 is interested in task 5.\nHost 13 is interested in task 3.\nHost 2 is interested in task 9.\nHost 12 is interested in task 14.\nHost 4 is interested in task 9.\nHost 2 is interested in task 11.\nHost 3 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph912", "image": "data/matching/graph_visual/hard/graph912.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 12 is interested in task 6.\nHost 8 is interested in task 11.\nHost 1 is interested in task 9.\nHost 4 is interested in task 9.\nHost 9 is interested in task 9.\nHost 10 is interested in task 1.\nHost 7 is interested in task 0.\nHost 1 is interested in task 4.\nHost 6 is interested in task 4.\nHost 5 is interested in task 0.\nHost 10 is interested in task 12.\nHost 4 is interested in task 0.\nHost 0 is interested in task 9.\nHost 10 is interested in task 4.\nHost 5 is interested in task 2.\nHost 10 is interested in task 6.\nHost 2 is interested in task 7.\nHost 4 is interested in task 3.\nHost 1 is interested in task 7.\nHost 5 is interested in task 6.\nHost 0 is interested in task 8.\nHost 7 is interested in task 6.\nHost 5 is interested in task 12.\nHost 10 is interested in task 5.\nHost 9 is interested in task 7.\nHost 13 is interested in task 7.\nHost 7 is interested in task 5.\nHost 6 is interested in task 8.\nHost 4 is interested in task 12.\nHost 12 is interested in task 11.\nHost 7 is interested in task 10.\nHost 7 is interested in task 1.\nHost 12 is interested in task 8.\nHost 7 is interested in task 2.\nHost 5 is interested in task 11.\nHost 11 is interested in task 11.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6.\nHost 7 is interested in task 3.\nHost 8 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 9.\nHost 4 is interested in task 10.\nHost 11 is interested in task 4.\nHost 10 is interested in task 3.\nHost 9 is interested in task 5.\nHost 8 is interested in task 8.\nHost 7 is interested in task 12.\nHost 0 is interested in task 11.\nHost 10 is interested in task 7.\nHost 4 is interested in task 1.\nHost 7 is interested in task 8.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 10.\nHost 12 is interested in task 9.\nHost 3 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph743", "image": "data/matching/graph_visual/hard/graph743.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 0.\nHost 3 is interested in task 9.\nHost 4 is interested in task 11.\nHost 0 is interested in task 4.\nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 10 is interested in task 5.\nHost 9 is interested in task 9.\nHost 6 is interested in task 3.\nHost 11 is interested in task 4.\nHost 9 is interested in task 2.\nHost 2 is interested in task 0.\nHost 9 is interested in task 10.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 9 is interested in task 3.\nHost 6 is interested in task 2.\nHost 10 is interested in task 3.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 9 is interested in task 8.\nHost 12 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 7 is interested in task 10.\nHost 10 is interested in task 12.\nHost 3 is interested in task 0.\nHost 2 is interested in task 12.\nHost 7 is interested in task 12.\nHost 7 is interested in task 8.\nHost 11 is interested in task 12.\nHost 5 is interested in task 10.\nHost 2 is interested in task 11.\nHost 5 is interested in task 1.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 4.\nHost 10 is interested in task 11.\nHost 4 is interested in task 3.\nHost 5 is interested in task 9.\nHost 12 is interested in task 11.\nHost 10 is interested in task 0.\nHost 9 is interested in task 7.\nHost 3 is interested in task 10.\nHost 0 is interested in task 8.\nHost 6 is interested in task 4.\nHost 12 is interested in task 9.\nHost 2 is interested in task 8.\nHost 3 is interested in task 3.\nHost 12 is interested in task 0.\nHost 10 is interested in task 2.\nHost 11 is interested in task 10.\nHost 12 is interested in task 2.\nHost 12 is interested in task 12.\nHost 12 is interested in task 6.\nHost 0 is interested in task 11.\nHost 9 is interested in task 1.\nHost 7 is interested in task 5.\nHost 9 is interested in task 11.\nHost 2 is interested in task 1.\nHost 3 is interested in task 7.\nHost 9 is interested in task 12.\nHost 6 is interested in task 8.\nHost 2 is interested in task 6.\nHost 9 is interested in task 4.\nHost 12 is interested in task 4.\nHost 1 is interested in task 9.\nHost 11 is interested in task 11.\nHost 12 is interested in task 3.\nHost 12 is interested in task 5.\nHost 10 is interested in task 4.\nHost 0 is interested in task 0.\nHost 11 is interested in task 5.\nHost 2 is interested in task 2.\nHost 10 is interested in task 7.\nHost 11 is interested in task 2.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1251", "image": "data/matching/graph_visual/hard/graph1251.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 15.\nHost 4 is interested in task 9.\nHost 4 is interested in task 15.\nHost 4 is interested in task 5.\nHost 4 is interested in task 13.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 16.\nHost 0 is interested in task 13.\nHost 0 is interested in task 4.\nHost 7 is interested in task 3.\nHost 10 is interested in task 10.\nHost 7 is interested in task 17.\nHost 4 is interested in task 6.\nHost 11 is interested in task 11.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 9 is interested in task 3.\nHost 12 is interested in task 17.\nHost 13 is interested in task 8.\nHost 2 is interested in task 13.\nHost 8 is interested in task 9.\nHost 3 is interested in task 0.\nHost 8 is interested in task 6.\nHost 9 is interested in task 10.\nHost 11 is interested in task 9.\nHost 2 is interested in task 6.\nHost 1 is interested in task 14.\nHost 8 is interested in task 1.\nHost 2 is interested in task 11.\nHost 0 is interested in task 11.\nHost 14 is interested in task 4.\nHost 2 is interested in task 3.\nHost 5 is interested in task 15.\nHost 2 is interested in task 8.\nHost 12 is interested in task 15.\nHost 7 is interested in task 8.\nHost 13 is interested in task 13.\nHost 12 is interested in task 16.\nHost 2 is interested in task 16.\nHost 2 is interested in task 10.\nHost 0 is interested in task 1.\nHost 14 is interested in task 14.\nHost 10 is interested in task 5.\nHost 1 is interested in task 11.\nHost 11 is interested in task 4.\nHost 6 is interested in task 2.\nHost 12 is interested in task 8.\nHost 1 is interested in task 7.\nHost 2 is interested in task 15.\nHost 5 is interested in task 5.\nHost 12 is interested in task 7.\nHost 14 is interested in task 15.\nHost 4 is interested in task 16.\nHost 14 is interested in task 17.\nHost 3 is interested in task 11.\nHost 4 is interested in task 1.\nHost 13 is interested in task 10.\nHost 11 is interested in task 15.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 0 is interested in task 8.\nHost 3 is interested in task 4.\nHost 2 is interested in task 17.\nHost 5 is interested in task 13.\nHost 9 is interested in task 4.\nHost 1 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 6.\nHost 6 is interested in task 15.\nHost 3 is interested in task 10.\nHost 13 is interested in task 12.\nHost 2 is interested in task 5.\nHost 13 is interested in task 0.\nHost 13 is interested in task 4.\nHost 9 is interested in task 16.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7.\nHost 0 is interested in task 10.\nHost 9 is interested in task 1.\nHost 10 is interested in task 8.\nHost 8 is interested in task 8.\nHost 7 is interested in task 4.\nHost 11 is interested in task 0.\nHost 14 is interested in task 10.\nHost 1 is interested in task 5.\nHost 14 is interested in task 6.\nHost 4 is interested in task 11.\nHost 14 is interested in task 3.\nHost 14 is interested in task 2.\nHost 7 is interested in task 7.\nHost 7 is interested in task 0.\nHost 1 is interested in task 0.\nHost 13 is interested in task 15.\nHost 8 is interested in task 12.\nHost 9 is interested in task 12.\nHost 1 is interested in task 8.\nHost 8 is interested in task 14.\nHost 14 is interested in task 12.\nHost 0 is interested in task 17.\nHost 9 is interested in task 15.\nHost 3 is interested in task 5.\nHost 11 is interested in task 5.\nHost 4 is interested in task 4.\nHost 14 is interested in task 9.\nHost 13 is interested in task 2.\nHost 10 is interested in task 4.\nHost 14 is interested in task 11.\nHost 1 is interested in task 17.\nHost 6 is interested in task 5.\nHost 3 is interested in task 13.\nHost 13 is interested in task 5.\nHost 13 is interested in task 1.\nHost 5 is interested in task 7.\nHost 10 is interested in task 2.\nHost 14 is interested in task 8.\nHost 7 is interested in task 14.\nHost 0 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph996", "image": "data/matching/graph_visual/hard/graph996.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 12.\nHost 4 is interested in task 6.\nHost 2 is interested in task 1.\nHost 12 is interested in task 1.\nHost 8 is interested in task 10.\nHost 5 is interested in task 15.\nHost 10 is interested in task 4.\nHost 0 is interested in task 0.\nHost 11 is interested in task 5.\nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 10 is interested in task 6.\nHost 13 is interested in task 13.\nHost 0 is interested in task 9.\nHost 0 is interested in task 14.\nHost 3 is interested in task 7.\nHost 8 is interested in task 14.\nHost 5 is interested in task 3.\nHost 1 is interested in task 9.\nHost 1 is interested in task 4.\nHost 7 is interested in task 0.\nHost 7 is interested in task 4.\nHost 6 is interested in task 9.\nHost 4 is interested in task 9.\nHost 3 is interested in task 6.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 2 is interested in task 10.\nHost 10 is interested in task 11.\nHost 4 is interested in task 15.\nHost 5 is interested in task 14.\nHost 9 is interested in task 3.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 13.\nHost 5 is interested in task 5.\nHost 2 is interested in task 9.\nHost 12 is interested in task 11.\nHost 4 is interested in task 10.\nHost 0 is interested in task 11.\nHost 12 is interested in task 13.\nHost 12 is interested in task 14.\nHost 7 is interested in task 2.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 6 is interested in task 8.\nHost 8 is interested in task 3.\nHost 4 is interested in task 8.\nHost 7 is interested in task 11.\nHost 4 is interested in task 3.\nHost 9 is interested in task 15.\nHost 2 is interested in task 13.\nHost 12 is interested in task 2.\nHost 8 is interested in task 8.\nHost 11 is interested in task 3.\nHost 0 is interested in task 5.\nHost 9 is interested in task 1.\nHost 8 is interested in task 9.\nHost 3 is interested in task 14.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 5 is interested in task 13.\nHost 2 is interested in task 11.\nHost 7 is interested in task 3.\nHost 9 is interested in task 13.\nHost 7 is interested in task 12.\nHost 11 is interested in task 11.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 8 is interested in task 6.\nHost 2 is interested in task 15.\nHost 10 is interested in task 9.\nHost 7 is interested in task 8.\nHost 6 is interested in task 10.\nHost 5 is interested in task 8.\nHost 11 is interested in task 14.\nHost 1 is interested in task 12.\nHost 12 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph631", "image": "data/matching/graph_visual/hard/graph631.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 0.\nHost 11 is interested in task 4.\nHost 10 is interested in task 7.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 11 is interested in task 3.\nHost 10 is interested in task 4.\nHost 2 is interested in task 9.\nHost 7 is interested in task 8.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 10 is interested in task 5.\nHost 10 is interested in task 8.\nHost 3 is interested in task 4.\nHost 12 is interested in task 2.\nHost 5 is interested in task 5.\nHost 1 is interested in task 6.\nHost 2 is interested in task 6.\nHost 11 is interested in task 1.\nHost 0 is interested in task 9.\nHost 1 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 12 is interested in task 4.\nHost 9 is interested in task 6.\nHost 7 is interested in task 9.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 11 is interested in task 7.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 12 is interested in task 5.\nHost 4 is interested in task 4.\nHost 3 is interested in task 9.\nHost 6 is interested in task 5.\nHost 9 is interested in task 7.\nHost 7 is interested in task 6.\nHost 3 is interested in task 8.\nHost 12 is interested in task 9.\nHost 11 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 5.\nHost 5 is interested in task 7.\nHost 9 is interested in task 8.\nHost 1 is interested in task 7.\nHost 3 is interested in task 7.\nHost 10 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 8 is interested in task 0.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph383", "image": "data/matching/graph_visual/hard/graph383.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 8.\nHost 0 is interested in task 7.\nHost 1 is interested in task 0.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 7 is interested in task 11.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 9.\nHost 4 is interested in task 11.\nHost 6 is interested in task 0.\nHost 2 is interested in task 8.\nHost 9 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 8 is interested in task 10.\nHost 6 is interested in task 4.\nHost 1 is interested in task 12.\nHost 4 is interested in task 12.\nHost 1 is interested in task 8.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 7 is interested in task 0.\nHost 3 is interested in task 11.\nHost 4 is interested in task 2.\nHost 2 is interested in task 11.\nHost 10 is interested in task 7.\nHost 3 is interested in task 6.\nHost 6 is interested in task 9.\nHost 10 is interested in task 0.\nHost 7 is interested in task 12.\nHost 0 is interested in task 6.\nHost 2 is interested in task 12.\nHost 2 is interested in task 0.\nHost 9 is interested in task 7.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 4 is interested in task 8.\nHost 9 is interested in task 3.\nHost 9 is interested in task 0.\nHost 5 is interested in task 3.\nHost 7 is interested in task 8.\nHost 6 is interested in task 8.\nHost 2 is interested in task 9.\nHost 6 is interested in task 1.\nHost 6 is interested in task 12.\nHost 4 is interested in task 7.\nHost 6 is interested in task 11.\nHost 4 is interested in task 9.\nHost 3 is interested in task 4.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 6.\nHost 10 is interested in task 10.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1123", "image": "data/matching/graph_visual/hard/graph1123.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 7.\nHost 2 is interested in task 11.\nHost 12 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 5.\nHost 13 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 4.\nHost 8 is interested in task 12.\nHost 9 is interested in task 7.\nHost 4 is interested in task 10.\nHost 9 is interested in task 3.\nHost 6 is interested in task 11.\nHost 1 is interested in task 1.\nHost 7 is interested in task 8.\nHost 1 is interested in task 7.\nHost 7 is interested in task 3.\nHost 3 is interested in task 4.\nHost 13 is interested in task 8.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 5 is interested in task 4.\nHost 12 is interested in task 13.\nHost 13 is interested in task 3.\nHost 8 is interested in task 1.\nHost 7 is interested in task 10.\nHost 11 is interested in task 12.\nHost 0 is interested in task 1.\nHost 0 is interested in task 6.\nHost 1 is interested in task 10.\nHost 8 is interested in task 0.\nHost 14 is interested in task 12.\nHost 13 is interested in task 11.\nHost 12 is interested in task 3.\nHost 11 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 10.\nHost 12 is interested in task 0.\nHost 3 is interested in task 6.\nHost 3 is interested in task 9.\nHost 13 is interested in task 5.\nHost 1 is interested in task 11.\nHost 10 is interested in task 13.\nHost 14 is interested in task 6.\nHost 6 is interested in task 7.\nHost 12 is interested in task 8.\nHost 8 is interested in task 9.\nHost 9 is interested in task 8.\nHost 3 is interested in task 13.\nHost 13 is interested in task 6.\nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 9 is interested in task 11.\nHost 9 is interested in task 6.\nHost 1 is interested in task 13.\nHost 7 is interested in task 2.\nHost 5 is interested in task 9.\nHost 0 is interested in task 2.\nHost 3 is interested in task 8.\nHost 1 is interested in task 4.\nHost 9 is interested in task 12.\nHost 7 is interested in task 0.\nHost 5 is interested in task 7.\nHost 10 is interested in task 3.\nHost 2 is interested in task 1.\nHost 13 is interested in task 10.\nHost 14 is interested in task 0.\nHost 3 is interested in task 11.\nHost 3 is interested in task 3.\nHost 4 is interested in task 12.\nHost 0 is interested in task 3.\nHost 0 is interested in task 7.\nHost 0 is interested in task 13.\nHost 5 is interested in task 12.\nHost 6 is interested in task 0.\nHost 14 is interested in task 11.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 4 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 9 is interested in task 4.\nHost 4 is interested in task 11.\nHost 10 is interested in task 9.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph497", "image": "data/matching/graph_visual/hard/graph497.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 10.\nHost 0 is interested in task 0.\nHost 0 is interested in task 9.\nHost 6 is interested in task 1.\nHost 0 is interested in task 2.\nHost 7 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 7.\nHost 6 is interested in task 10.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 8 is interested in task 8.\nHost 7 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 7 is interested in task 7.\nHost 3 is interested in task 5.\nHost 9 is interested in task 9.\nHost 11 is interested in task 7.\nHost 10 is interested in task 7.\nHost 9 is interested in task 8.\nHost 1 is interested in task 10.\nHost 10 is interested in task 2.\nHost 8 is interested in task 1.\nHost 5 is interested in task 8.\nHost 4 is interested in task 9.\nHost 3 is interested in task 2.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 1 is interested in task 3.\nHost 10 is interested in task 3.\nHost 9 is interested in task 0.\nHost 3 is interested in task 1.\nHost 5 is interested in task 0.\nHost 3 is interested in task 9.\nHost 1 is interested in task 9.\nHost 3 is interested in task 6.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 8.\nHost 6 is interested in task 4.\nHost 4 is interested in task 3.\nHost 6 is interested in task 5.\nHost 4 is interested in task 5.\nHost 11 is interested in task 0.\nHost 5 is interested in task 7.\nHost 3 is interested in task 10.\nHost 10 is interested in task 8.\nHost 11 is interested in task 2.\nHost 11 is interested in task 5.\nHost 2 is interested in task 2.\nHost 10 is interested in task 0.\nHost 4 is interested in task 6.\nHost 10 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1126", "image": "data/matching/graph_visual/hard/graph1126.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 12 is interested in task 6.\nHost 2 is interested in task 11.\nHost 9 is interested in task 0.\nHost 4 is interested in task 2.\nHost 8 is interested in task 11.\nHost 3 is interested in task 2.\nHost 9 is interested in task 6.\nHost 13 is interested in task 2.\nHost 5 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 1.\nHost 3 is interested in task 11.\nHost 9 is interested in task 13.\nHost 8 is interested in task 2.\nHost 12 is interested in task 11.\nHost 7 is interested in task 11.\nHost 0 is interested in task 6.\nHost 10 is interested in task 5.\nHost 11 is interested in task 5.\nHost 8 is interested in task 3.\nHost 10 is interested in task 3.\nHost 9 is interested in task 1.\nHost 0 is interested in task 7.\nHost 3 is interested in task 0.\nHost 10 is interested in task 10.\nHost 1 is interested in task 11.\nHost 13 is interested in task 4.\nHost 0 is interested in task 9.\nHost 4 is interested in task 5.\nHost 8 is interested in task 12.\nHost 12 is interested in task 8.\nHost 0 is interested in task 4.\nHost 12 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 13 is interested in task 13.\nHost 5 is interested in task 12.\nHost 11 is interested in task 11.\nHost 7 is interested in task 10.\nHost 6 is interested in task 12.\nHost 10 is interested in task 9.\nHost 10 is interested in task 13.\nHost 3 is interested in task 7.\nHost 6 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 11.\nHost 9 is interested in task 3.\nHost 8 is interested in task 6.\nHost 9 is interested in task 5.\nHost 9 is interested in task 8.\nHost 9 is interested in task 10.\nHost 2 is interested in task 2.\nHost 12 is interested in task 10.\nHost 1 is interested in task 13.\nHost 9 is interested in task 7.\nHost 8 is interested in task 10.\nHost 11 is interested in task 1.\nHost 8 is interested in task 13.\nHost 12 is interested in task 0.\nHost 13 is interested in task 0.\nHost 8 is interested in task 7.\nHost 3 is interested in task 5.\nHost 11 is interested in task 7.\nHost 8 is interested in task 4.\nHost 10 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 13.\nHost 13 is interested in task 3.\nHost 10 is interested in task 6.\nHost 7 is interested in task 8.\nHost 14 is interested in task 11.\nHost 14 is interested in task 8.\nHost 13 is interested in task 1.\nHost 3 is interested in task 6.\nHost 12 is interested in task 4.\nHost 12 is interested in task 1.\nHost 3 is interested in task 3.\nHost 11 is interested in task 4.\nHost 8 is interested in task 9.\nHost 4 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph838", "image": "data/matching/graph_visual/hard/graph838.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 12 is interested in task 7.\nHost 6 is interested in task 0.\nHost 8 is interested in task 1.\nHost 10 is interested in task 6.\nHost 1 is interested in task 12.\nHost 8 is interested in task 11.\nHost 7 is interested in task 0.\nHost 10 is interested in task 9.\nHost 6 is interested in task 7.\nHost 3 is interested in task 9.\nHost 1 is interested in task 5.\nHost 12 is interested in task 1.\nHost 8 is interested in task 14.\nHost 11 is interested in task 5.\nHost 5 is interested in task 12.\nHost 10 is interested in task 8.\nHost 1 is interested in task 8.\nHost 9 is interested in task 6.\nHost 7 is interested in task 4.\nHost 11 is interested in task 9.\nHost 4 is interested in task 8.\nHost 8 is interested in task 4.\nHost 5 is interested in task 14.\nHost 5 is interested in task 13.\nHost 11 is interested in task 11.\nHost 12 is interested in task 14.\nHost 0 is interested in task 3.\nHost 12 is interested in task 5.\nHost 9 is interested in task 11.\nHost 4 is interested in task 5.\nHost 2 is interested in task 13.\nHost 7 is interested in task 1.\nHost 5 is interested in task 7.\nHost 2 is interested in task 2.\nHost 5 is interested in task 6.\nHost 12 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 3.\nHost 7 is interested in task 2.\nHost 9 is interested in task 15.\nHost 9 is interested in task 7.\nHost 10 is interested in task 12.\nHost 9 is interested in task 12.\nHost 2 is interested in task 0.\nHost 12 is interested in task 13.\nHost 10 is interested in task 4.\nHost 8 is interested in task 3.\nHost 3 is interested in task 15.\nHost 11 is interested in task 0.\nHost 7 is interested in task 11.\nHost 3 is interested in task 14.\nHost 11 is interested in task 4.\nHost 7 is interested in task 5.\nHost 0 is interested in task 1.\nHost 10 is interested in task 11.\nHost 3 is interested in task 7.\nHost 12 is interested in task 6.\nHost 5 is interested in task 15.\nHost 10 is interested in task 1.\nHost 3 is interested in task 2.\nHost 11 is interested in task 1.\nHost 0 is interested in task 11.\nHost 0 is interested in task 9.\nHost 7 is interested in task 14.\nHost 8 is interested in task 2.\nHost 2 is interested in task 15.\nHost 11 is interested in task 12.\nHost 2 is interested in task 6.\nHost 12 is interested in task 3.\nHost 12 is interested in task 4.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 7 is interested in task 10.\nHost 11 is interested in task 10.\nHost 6 is interested in task 8.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph439", "image": "data/matching/graph_visual/hard/graph439.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 5 is interested in task 4.\nHost 11 is interested in task 4.\nHost 7 is interested in task 4.\nHost 11 is interested in task 8.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 2 is interested in task 4.\nHost 7 is interested in task 2.\nHost 6 is interested in task 8.\nHost 0 is interested in task 4.\nHost 11 is interested in task 0.\nHost 11 is interested in task 3.\nHost 3 is interested in task 3.\nHost 10 is interested in task 7.\nHost 9 is interested in task 4.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 6 is interested in task 4.\nHost 0 is interested in task 2.\nHost 7 is interested in task 8.\nHost 0 is interested in task 1.\nHost 2 is interested in task 7.\nHost 9 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 2.\nHost 3 is interested in task 7.\nHost 2 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 6.\nHost 2 is interested in task 0.\nHost 9 is interested in task 7.\nHost 1 is interested in task 8.\nHost 11 is interested in task 5.\nHost 0 is interested in task 6.\nHost 4 is interested in task 8.\nHost 8 is interested in task 7.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 8 is interested in task 4.\nHost 11 is interested in task 6.\nHost 7 is interested in task 3.\nHost 1 is interested in task 2.\nHost 8 is interested in task 1.\nHost 11 is interested in task 2.\nHost 10 is interested in task 6.\nHost 1 is interested in task 4.\nHost 10 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 3 is interested in task 6.\nHost 9 is interested in task 5.\nHost 5 is interested in task 0.\nHost 8 is interested in task 3.\nHost 10 is interested in task 0.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 9 is interested in task 8.\nHost 10 is interested in task 5.\nHost 6 is interested in task 5.\nHost 0 is interested in task 7.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph724", "image": "data/matching/graph_visual/hard/graph724.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 9.\nHost 4 is interested in task 0.\nHost 0 is interested in task 8.\nHost 11 is interested in task 6.\nHost 11 is interested in task 3.\nHost 6 is interested in task 12.\nHost 0 is interested in task 10.\nHost 10 is interested in task 0.\nHost 12 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 7.\nHost 7 is interested in task 11.\nHost 5 is interested in task 6.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 7 is interested in task 12.\nHost 9 is interested in task 5.\nHost 9 is interested in task 7.\nHost 9 is interested in task 6.\nHost 11 is interested in task 1.\nHost 7 is interested in task 8.\nHost 11 is interested in task 7.\nHost 10 is interested in task 8.\nHost 11 is interested in task 10.\nHost 3 is interested in task 12.\nHost 3 is interested in task 0.\nHost 1 is interested in task 0.\nHost 12 is interested in task 6.\nHost 9 is interested in task 2.\nHost 10 is interested in task 4.\nHost 3 is interested in task 11.\nHost 6 is interested in task 10.\nHost 0 is interested in task 6.\nHost 11 is interested in task 4.\nHost 5 is interested in task 8.\nHost 12 is interested in task 4.\nHost 10 is interested in task 5.\nHost 12 is interested in task 8.\nHost 10 is interested in task 3.\nHost 2 is interested in task 8.\nHost 1 is interested in task 1.\nHost 12 is interested in task 10.\nHost 3 is interested in task 7.\nHost 7 is interested in task 3.\nHost 12 is interested in task 12.\nHost 9 is interested in task 9.\nHost 8 is interested in task 4.\nHost 5 is interested in task 2.\nHost 1 is interested in task 9.\nHost 3 is interested in task 1.\nHost 10 is interested in task 10.\nHost 2 is interested in task 2.\nHost 12 is interested in task 11.\nHost 11 is interested in task 12.\nHost 6 is interested in task 11.\nHost 11 is interested in task 2.\nHost 8 is interested in task 5.\nHost 4 is interested in task 9.\nHost 5 is interested in task 10.\nHost 5 is interested in task 1.\nHost 9 is interested in task 12.\nHost 0 is interested in task 0.\nHost 0 is interested in task 1.\nHost 1 is interested in task 12.\nHost 10 is interested in task 11.\nHost 5 is interested in task 3.\nHost 0 is interested in task 11.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph195", "image": "data/matching/graph_visual/hard/graph195.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 7 is interested in task 1.\nHost 1 is interested in task 12.\nHost 9 is interested in task 8.\nHost 0 is interested in task 4.\nHost 4 is interested in task 8.\nHost 2 is interested in task 9.\nHost 7 is interested in task 5.\nHost 2 is interested in task 10.\nHost 4 is interested in task 2.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 9 is interested in task 3.\nHost 4 is interested in task 6.\nHost 2 is interested in task 5.\nHost 8 is interested in task 8.\nHost 1 is interested in task 4.\nHost 8 is interested in task 2.\nHost 4 is interested in task 10.\nHost 0 is interested in task 12.\nHost 8 is interested in task 6.\nHost 3 is interested in task 4.\nHost 5 is interested in task 4.\nHost 0 is interested in task 1.\nHost 6 is interested in task 11.\nHost 9 is interested in task 2.\nHost 8 is interested in task 0.\nHost 6 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 6.\nHost 8 is interested in task 11.\nHost 8 is interested in task 12.\nHost 2 is interested in task 8.\nHost 7 is interested in task 8.\nHost 1 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 0.\nHost 8 is interested in task 7.\nHost 9 is interested in task 11.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 0 is interested in task 3.\nHost 8 is interested in task 5.\nHost 9 is interested in task 6.\nHost 3 is interested in task 9.\nHost 3 is interested in task 8.\nHost 8 is interested in task 3.\nHost 5 is interested in task 5.\nHost 8 is interested in task 4.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 7 is interested in task 12.\nHost 2 is interested in task 0.\nHost 5 is interested in task 2.\nHost 9 is interested in task 9.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1228", "image": "data/matching/graph_visual/hard/graph1228.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 13.\nHost 4 is interested in task 1.\nHost 7 is interested in task 6.\nHost 4 is interested in task 14.\nHost 3 is interested in task 3.\nHost 13 is interested in task 5.\nHost 12 is interested in task 16.\nHost 1 is interested in task 1.\nHost 7 is interested in task 12.\nHost 14 is interested in task 16.\nHost 12 is interested in task 9.\nHost 7 is interested in task 15.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 6.\nHost 3 is interested in task 4.\nHost 4 is interested in task 0.\nHost 11 is interested in task 12.\nHost 14 is interested in task 13.\nHost 10 is interested in task 14.\nHost 6 is interested in task 14.\nHost 5 is interested in task 7.\nHost 12 is interested in task 0.\nHost 6 is interested in task 0.\nHost 14 is interested in task 11.\nHost 0 is interested in task 13.\nHost 2 is interested in task 1.\nHost 12 is interested in task 15.\nHost 0 is interested in task 1.\nHost 2 is interested in task 7.\nHost 0 is interested in task 9.\nHost 4 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 14.\nHost 7 is interested in task 16.\nHost 5 is interested in task 12.\nHost 11 is interested in task 2.\nHost 12 is interested in task 1.\nHost 5 is interested in task 0.\nHost 4 is interested in task 10.\nHost 5 is interested in task 5.\nHost 5 is interested in task 9.\nHost 3 is interested in task 12.\nHost 13 is interested in task 3.\nHost 2 is interested in task 2.\nHost 13 is interested in task 4.\nHost 6 is interested in task 6.\nHost 1 is interested in task 4.\nHost 9 is interested in task 4.\nHost 10 is interested in task 5.\nHost 2 is interested in task 12.\nHost 0 is interested in task 15.\nHost 4 is interested in task 4.\nHost 11 is interested in task 4.\nHost 13 is interested in task 11.\nHost 4 is interested in task 9.\nHost 10 is interested in task 1.\nHost 4 is interested in task 11.\nHost 13 is interested in task 15.\nHost 8 is interested in task 3.\nHost 12 is interested in task 5.\nHost 0 is interested in task 5.\nHost 13 is interested in task 6.\nHost 2 is interested in task 14.\nHost 11 is interested in task 11.\nHost 1 is interested in task 3.\nHost 12 is interested in task 8.\nHost 7 is interested in task 5.\nHost 1 is interested in task 8.\nHost 12 is interested in task 14.\nHost 0 is interested in task 4.\nHost 7 is interested in task 9.\nHost 12 is interested in task 12.\nHost 5 is interested in task 8.\nHost 4 is interested in task 8.\nHost 8 is interested in task 12.\nHost 12 is interested in task 7.\nHost 12 is interested in task 10.\nHost 9 is interested in task 15.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 1 is interested in task 10.\nHost 9 is interested in task 8.\nHost 13 is interested in task 0.\nHost 7 is interested in task 2.\nHost 13 is interested in task 2.\nHost 3 is interested in task 6.\nHost 13 is interested in task 16.\nHost 5 is interested in task 3.\nHost 2 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1039", "image": "data/matching/graph_visual/hard/graph1039.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 5 is interested in task 2.\nHost 0 is interested in task 8.\nHost 9 is interested in task 14.\nHost 8 is interested in task 3.\nHost 3 is interested in task 1.\nHost 12 is interested in task 7.\nHost 9 is interested in task 0.\nHost 8 is interested in task 15.\nHost 8 is interested in task 2.\nHost 1 is interested in task 6.\nHost 5 is interested in task 11.\nHost 2 is interested in task 4.\nHost 2 is interested in task 8.\nHost 3 is interested in task 12.\nHost 6 is interested in task 3.\nHost 1 is interested in task 9.\nHost 13 is interested in task 9.\nHost 8 is interested in task 12.\nHost 11 is interested in task 5.\nHost 11 is interested in task 12.\nHost 0 is interested in task 0.\nHost 8 is interested in task 1.\nHost 1 is interested in task 10.\nHost 12 is interested in task 10.\nHost 0 is interested in task 11.\nHost 2 is interested in task 7.\nHost 5 is interested in task 7.\nHost 2 is interested in task 12.\nHost 12 is interested in task 9.\nHost 2 is interested in task 5.\nHost 3 is interested in task 8.\nHost 10 is interested in task 4.\nHost 11 is interested in task 10.\nHost 5 is interested in task 13.\nHost 1 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 12.\nHost 4 is interested in task 9.\nHost 12 is interested in task 3.\nHost 7 is interested in task 14.\nHost 1 is interested in task 13.\nHost 7 is interested in task 10.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 4 is interested in task 16.\nHost 7 is interested in task 9.\nHost 7 is interested in task 11.\nHost 13 is interested in task 2.\nHost 2 is interested in task 1.\nHost 12 is interested in task 15.\nHost 12 is interested in task 14.\nHost 12 is interested in task 1.\nHost 9 is interested in task 16.\nHost 4 is interested in task 10.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 11.\nHost 7 is interested in task 6.\nHost 11 is interested in task 13.\nHost 10 is interested in task 14.\nHost 1 is interested in task 8.\nHost 0 is interested in task 1.\nHost 0 is interested in task 2.\nHost 1 is interested in task 14.\nHost 5 is interested in task 10.\nHost 5 is interested in task 9.\nHost 13 is interested in task 12.\nHost 11 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 10.\nHost 13 is interested in task 10.\nHost 12 is interested in task 13.\nHost 10 is interested in task 11.\nHost 4 is interested in task 0.\nHost 1 is interested in task 5.\nHost 2 is interested in task 6.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 7 is interested in task 12.\nHost 0 is interested in task 15.\nHost 8 is interested in task 8.\nHost 0 is interested in task 4.\nHost 9 is interested in task 13.\nHost 1 is interested in task 2.\nHost 13 is interested in task 0.\nHost 9 is interested in task 15.\nHost 12 is interested in task 6.\nHost 0 is interested in task 12.\nHost 7 is interested in task 3.\nHost 10 is interested in task 5.\nHost 2 is interested in task 13.\nHost 11 is interested in task 16.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph53", "image": "data/matching/graph_visual/hard/graph53.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 6.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 9 is interested in task 2.\nHost 1 is interested in task 6.\nHost 2 is interested in task 0.\nHost 4 is interested in task 5.\nHost 7 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 5.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 6 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 1 is interested in task 7.\nHost 2 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3.\nHost 8 is interested in task 2.\nHost 4 is interested in task 2.\nHost 7 is interested in task 3.\nHost 3 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 8 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 9 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph158", "image": "data/matching/graph_visual/hard/graph158.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 7 is interested in task 8.\nHost 6 is interested in task 0.\nHost 9 is interested in task 6.\nHost 7 is interested in task 6.\nHost 3 is interested in task 10.\nHost 4 is interested in task 9.\nHost 5 is interested in task 10.\nHost 2 is interested in task 1.\nHost 2 is interested in task 7.\nHost 6 is interested in task 7.\nHost 0 is interested in task 8.\nHost 3 is interested in task 4.\nHost 3 is interested in task 8.\nHost 3 is interested in task 3.\nHost 7 is interested in task 3.\nHost 0 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 10.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 9 is interested in task 8.\nHost 7 is interested in task 5.\nHost 3 is interested in task 6.\nHost 5 is interested in task 0.\nHost 5 is interested in task 9.\nHost 0 is interested in task 11.\nHost 8 is interested in task 11.\nHost 0 is interested in task 6.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 0.\nHost 7 is interested in task 11.\nHost 1 is interested in task 3.\nHost 9 is interested in task 1.\nHost 8 is interested in task 8.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph826", "image": "data/matching/graph_visual/hard/graph826.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 1.\nHost 9 is interested in task 8.\nHost 12 is interested in task 0.\nHost 8 is interested in task 2.\nHost 3 is interested in task 0.\nHost 9 is interested in task 14.\nHost 9 is interested in task 6.\nHost 7 is interested in task 2.\nHost 9 is interested in task 5.\nHost 12 is interested in task 15.\nHost 7 is interested in task 12.\nHost 9 is interested in task 10.\nHost 2 is interested in task 1.\nHost 7 is interested in task 14.\nHost 2 is interested in task 13.\nHost 12 is interested in task 5.\nHost 5 is interested in task 5.\nHost 11 is interested in task 12.\nHost 9 is interested in task 9.\nHost 8 is interested in task 6.\nHost 5 is interested in task 7.\nHost 12 is interested in task 12.\nHost 7 is interested in task 6.\nHost 1 is interested in task 0.\nHost 11 is interested in task 14.\nHost 11 is interested in task 11.\nHost 10 is interested in task 1.\nHost 7 is interested in task 11.\nHost 2 is interested in task 2.\nHost 12 is interested in task 8.\nHost 11 is interested in task 4.\nHost 10 is interested in task 2.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 12 is interested in task 9.\nHost 12 is interested in task 3.\nHost 0 is interested in task 2.\nHost 7 is interested in task 0.\nHost 0 is interested in task 3.\nHost 6 is interested in task 13.\nHost 4 is interested in task 13.\nHost 1 is interested in task 10.\nHost 3 is interested in task 2.\nHost 8 is interested in task 4.\nHost 4 is interested in task 6.\nHost 4 is interested in task 9.\nHost 5 is interested in task 3.\nHost 8 is interested in task 9.\nHost 3 is interested in task 5.\nHost 7 is interested in task 4.\nHost 8 is interested in task 8.\nHost 9 is interested in task 1.\nHost 0 is interested in task 12.\nHost 1 is interested in task 13.\nHost 4 is interested in task 5.\nHost 6 is interested in task 8.\nHost 2 is interested in task 10.\nHost 2 is interested in task 9.\nHost 5 is interested in task 13.\nHost 5 is interested in task 0.\nHost 7 is interested in task 10.\nHost 1 is interested in task 9.\nHost 7 is interested in task 8.\nHost 12 is interested in task 6.\nHost 0 is interested in task 14.\nHost 12 is interested in task 11.\nHost 8 is interested in task 14.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 7 is interested in task 5.\nHost 2 is interested in task 7.\nHost 2 is interested in task 4.\nHost 5 is interested in task 6.\nHost 5 is interested in task 14.\nHost 12 is interested in task 4.\nHost 2 is interested in task 12.\nHost 3 is interested in task 14.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph193", "image": "data/matching/graph_visual/hard/graph193.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 11.\nHost 4 is interested in task 3.\nHost 0 is interested in task 9.\nHost 9 is interested in task 4.\nHost 8 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 8.\nHost 5 is interested in task 9.\nHost 5 is interested in task 5.\nHost 9 is interested in task 9.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 1 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 12.\nHost 2 is interested in task 1.\nHost 0 is interested in task 6.\nHost 7 is interested in task 11.\nHost 7 is interested in task 10.\nHost 2 is interested in task 2.\nHost 9 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 7.\nHost 3 is interested in task 6.\nHost 1 is interested in task 11.\nHost 9 is interested in task 8.\nHost 7 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 12.\nHost 3 is interested in task 8.\nHost 7 is interested in task 2.\nHost 8 is interested in task 12.\nHost 5 is interested in task 3.\nHost 7 is interested in task 1.\nHost 5 is interested in task 12.\nHost 4 is interested in task 11.\nHost 3 is interested in task 9.\nHost 3 is interested in task 0.\nHost 9 is interested in task 10.\nHost 9 is interested in task 1.\nHost 8 is interested in task 11.\nHost 0 is interested in task 5.\nHost 0 is interested in task 10.\nHost 7 is interested in task 12.\nHost 2 is interested in task 11.\nHost 5 is interested in task 4.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 3 is interested in task 11.\nHost 8 is interested in task 3.\nHost 6 is interested in task 11.\nHost 7 is interested in task 9.\nHost 1 is interested in task 0.\nHost 7 is interested in task 7.\nHost 7 is interested in task 3.\nHost 0 is interested in task 1.\nHost 8 is interested in task 9.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph480", "image": "data/matching/graph_visual/hard/graph480.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 0.\nHost 6 is interested in task 10.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 6 is interested in task 4.\nHost 1 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 1.\nHost 3 is interested in task 9.\nHost 11 is interested in task 4.\nHost 8 is interested in task 0.\nHost 8 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 0 is interested in task 10.\nHost 0 is interested in task 5.\nHost 8 is interested in task 5.\nHost 10 is interested in task 10.\nHost 9 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 7.\nHost 0 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 9.\nHost 8 is interested in task 4.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 8 is interested in task 7.\nHost 7 is interested in task 7.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 1 is interested in task 8.\nHost 2 is interested in task 9.\nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 1.\nHost 9 is interested in task 2.\nHost 11 is interested in task 6.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5.\nHost 11 is interested in task 2.\nHost 9 is interested in task 1.\nHost 5 is interested in task 1.\nHost 9 is interested in task 10.\nHost 5 is interested in task 0.\nHost 9 is interested in task 8.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph290", "image": "data/matching/graph_visual/hard/graph290.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 10 is interested in task 7.\nHost 6 is interested in task 0.\nHost 7 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 1.\nHost 9 is interested in task 3.\nHost 2 is interested in task 4.\nHost 6 is interested in task 8.\nHost 8 is interested in task 8.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 7 is interested in task 7.\nHost 4 is interested in task 8.\nHost 7 is interested in task 3.\nHost 2 is interested in task 5.\nHost 4 is interested in task 7.\nHost 8 is interested in task 0.\nHost 5 is interested in task 2.\nHost 9 is interested in task 1.\nHost 2 is interested in task 6.\nHost 5 is interested in task 3.\nHost 10 is interested in task 6.\nHost 2 is interested in task 9.\nHost 3 is interested in task 9.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 7 is interested in task 6.\nHost 7 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 9.\nHost 8 is interested in task 6.\nHost 6 is interested in task 5.\nHost 6 is interested in task 9.\nHost 1 is interested in task 6.\nHost 7 is interested in task 9.\nHost 10 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph874", "image": "data/matching/graph_visual/hard/graph874.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 7.\nHost 1 is interested in task 4.\nHost 11 is interested in task 9.\nHost 1 is interested in task 10.\nHost 7 is interested in task 2.\nHost 3 is interested in task 8.\nHost 11 is interested in task 8.\nHost 3 is interested in task 5.\nHost 4 is interested in task 10.\nHost 9 is interested in task 11.\nHost 4 is interested in task 8.\nHost 3 is interested in task 6.\nHost 9 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 1.\nHost 0 is interested in task 5.\nHost 3 is interested in task 2.\nHost 4 is interested in task 9.\nHost 0 is interested in task 11.\nHost 11 is interested in task 6.\nHost 12 is interested in task 5.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 4 is interested in task 3.\nHost 11 is interested in task 10.\nHost 12 is interested in task 10.\nHost 6 is interested in task 6.\nHost 6 is interested in task 10.\nHost 0 is interested in task 3.\nHost 5 is interested in task 4.\nHost 10 is interested in task 5.\nHost 10 is interested in task 8.\nHost 9 is interested in task 7.\nHost 1 is interested in task 11.\nHost 11 is interested in task 4.\nHost 6 is interested in task 9.\nHost 6 is interested in task 11.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 6 is interested in task 8.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 11 is interested in task 11.\nHost 13 is interested in task 11.\nHost 0 is interested in task 0.\nHost 7 is interested in task 5.\nHost 7 is interested in task 4.\nHost 7 is interested in task 3.\nHost 8 is interested in task 1.\nHost 13 is interested in task 4.\nHost 0 is interested in task 6.\nHost 2 is interested in task 0.\nHost 8 is interested in task 5.\nHost 3 is interested in task 11.\nHost 3 is interested in task 7.\nHost 6 is interested in task 3.\nHost 6 is interested in task 1.\nHost 13 is interested in task 1.\nHost 9 is interested in task 10.\nHost 13 is interested in task 6.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph442", "image": "data/matching/graph_visual/hard/graph442.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 7.\nHost 10 is interested in task 7.\nHost 11 is interested in task 8.\nHost 2 is interested in task 0.\nHost 8 is interested in task 1.\nHost 9 is interested in task 7.\nHost 4 is interested in task 8.\nHost 10 is interested in task 0.\nHost 9 is interested in task 5.\nHost 2 is interested in task 4.\nHost 6 is interested in task 7.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 3 is interested in task 8.\nHost 11 is interested in task 1.\nHost 4 is interested in task 4.\nHost 7 is interested in task 5.\nHost 10 is interested in task 4.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 10 is interested in task 1.\nHost 11 is interested in task 5.\nHost 11 is interested in task 6.\nHost 5 is interested in task 8.\nHost 8 is interested in task 4.\nHost 4 is interested in task 6.\nHost 2 is interested in task 2.\nHost 9 is interested in task 8.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 0 is interested in task 6.\nHost 6 is interested in task 0.\nHost 11 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 6.\nHost 11 is interested in task 3.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 9 is interested in task 1.\nHost 4 is interested in task 7.\nHost 0 is interested in task 1.\nHost 9 is interested in task 4.\nHost 7 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1007", "image": "data/matching/graph_visual/hard/graph1007.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 7 is interested in task 15.\nHost 5 is interested in task 11.\nHost 2 is interested in task 15.\nHost 0 is interested in task 14.\nHost 3 is interested in task 12.\nHost 6 is interested in task 5.\nHost 4 is interested in task 15.\nHost 8 is interested in task 6.\nHost 9 is interested in task 2.\nHost 3 is interested in task 6.\nHost 0 is interested in task 15.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 10 is interested in task 6.\nHost 2 is interested in task 7.\nHost 4 is interested in task 2.\nHost 4 is interested in task 13.\nHost 13 is interested in task 4.\nHost 7 is interested in task 2.\nHost 2 is interested in task 14.\nHost 9 is interested in task 7.\nHost 0 is interested in task 2.\nHost 5 is interested in task 9.\nHost 10 is interested in task 7.\nHost 13 is interested in task 5.\nHost 13 is interested in task 11.\nHost 7 is interested in task 9.\nHost 4 is interested in task 4.\nHost 0 is interested in task 8.\nHost 10 is interested in task 5.\nHost 4 is interested in task 1.\nHost 2 is interested in task 11.\nHost 13 is interested in task 1.\nHost 13 is interested in task 13.\nHost 2 is interested in task 9.\nHost 6 is interested in task 12.\nHost 13 is interested in task 0.\nHost 5 is interested in task 12.\nHost 9 is interested in task 8.\nHost 6 is interested in task 2.\nHost 0 is interested in task 7.\nHost 9 is interested in task 9.\nHost 3 is interested in task 9.\nHost 2 is interested in task 6.\nHost 13 is interested in task 10.\nHost 1 is interested in task 0.\nHost 6 is interested in task 13.\nHost 8 is interested in task 1.\nHost 6 is interested in task 11.\nHost 3 is interested in task 0.\nHost 1 is interested in task 15.\nHost 13 is interested in task 2.\nHost 5 is interested in task 4.\nHost 10 is interested in task 15.\nHost 7 is interested in task 8.\nHost 5 is interested in task 8.\nHost 13 is interested in task 6.\nHost 2 is interested in task 4.\nHost 12 is interested in task 6.\nHost 6 is interested in task 1.\nHost 2 is interested in task 10.\nHost 0 is interested in task 1.\nHost 10 is interested in task 13.\nHost 0 is interested in task 4.\nHost 13 is interested in task 14.\nHost 8 is interested in task 15.\nHost 3 is interested in task 15.\nHost 11 is interested in task 4.\nHost 9 is interested in task 14.\nHost 2 is interested in task 2.\nHost 9 is interested in task 15.\nHost 4 is interested in task 9.\nHost 8 is interested in task 9.\nHost 11 is interested in task 3.\nHost 8 is interested in task 13.\nHost 11 is interested in task 6.\nHost 5 is interested in task 10.\nHost 6 is interested in task 9.\nHost 13 is interested in task 9.\nHost 7 is interested in task 13.\nHost 9 is interested in task 6.\nHost 7 is interested in task 6.\nHost 3 is interested in task 8.\nHost 6 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph386", "image": "data/matching/graph_visual/hard/graph386.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 5 is interested in task 2.\nHost 10 is interested in task 7.\nHost 0 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 10.\nHost 10 is interested in task 10.\nHost 0 is interested in task 12.\nHost 6 is interested in task 8.\nHost 0 is interested in task 10.\nHost 8 is interested in task 12.\nHost 7 is interested in task 10.\nHost 6 is interested in task 2.\nHost 2 is interested in task 5.\nHost 4 is interested in task 12.\nHost 4 is interested in task 5.\nHost 6 is interested in task 9.\nHost 3 is interested in task 3.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 7.\nHost 0 is interested in task 11.\nHost 7 is interested in task 3.\nHost 7 is interested in task 7.\nHost 9 is interested in task 0.\nHost 6 is interested in task 6.\nHost 6 is interested in task 12.\nHost 0 is interested in task 8.\nHost 1 is interested in task 0.\nHost 6 is interested in task 7.\nHost 10 is interested in task 9.\nHost 0 is interested in task 6.\nHost 3 is interested in task 10.\nHost 9 is interested in task 4.\nHost 8 is interested in task 3.\nHost 10 is interested in task 11.\nHost 8 is interested in task 11.\nHost 0 is interested in task 0.\nHost 2 is interested in task 11.\nHost 6 is interested in task 0.\nHost 5 is interested in task 1.\nHost 4 is interested in task 0.\nHost 8 is interested in task 1.\nHost 9 is interested in task 7.\nHost 2 is interested in task 1.\nHost 7 is interested in task 2.\nHost 8 is interested in task 2.\nHost 9 is interested in task 5.\nHost 3 is interested in task 12.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph519", "image": "data/matching/graph_visual/hard/graph519.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 4 is interested in task 10.\nHost 6 is interested in task 1.\nHost 10 is interested in task 10.\nHost 7 is interested in task 4.\nHost 5 is interested in task 11.\nHost 1 is interested in task 0.\nHost 3 is interested in task 1.\nHost 2 is interested in task 10.\nHost 6 is interested in task 6.\nHost 11 is interested in task 5.\nHost 10 is interested in task 8.\nHost 5 is interested in task 10.\nHost 10 is interested in task 11.\nHost 2 is interested in task 0.\nHost 2 is interested in task 3.\nHost 8 is interested in task 10.\nHost 1 is interested in task 4.\nHost 6 is interested in task 8.\nHost 9 is interested in task 11.\nHost 5 is interested in task 3.\nHost 9 is interested in task 9.\nHost 9 is interested in task 6.\nHost 7 is interested in task 11.\nHost 3 is interested in task 7.\nHost 4 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 10 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 10.\nHost 5 is interested in task 6.\nHost 6 is interested in task 2.\nHost 5 is interested in task 1.\nHost 10 is interested in task 5.\nHost 1 is interested in task 10.\nHost 9 is interested in task 7.\nHost 3 is interested in task 6.\nHost 8 is interested in task 8.\nHost 8 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 8.\nHost 5 is interested in task 7.\nHost 7 is interested in task 6.\nHost 5 is interested in task 4.\nHost 0 is interested in task 7.\nHost 0 is interested in task 6.\nHost 3 is interested in task 9.\nHost 6 is interested in task 10.\nHost 1 is interested in task 8.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 5 is interested in task 5.\nHost 1 is interested in task 1.\nHost 11 is interested in task 3.\nHost 9 is interested in task 3.\nHost 10 is interested in task 4.\nHost 3 is interested in task 2.\nHost 8 is interested in task 9.\nHost 4 is interested in task 7.\nHost 5 is interested in task 9.\nHost 4 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 5.\nHost 1 is interested in task 9.\nHost 2 is interested in task 7.\nHost 2 is interested in task 2.\nHost 7 is interested in task 10.\nHost 5 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 1.\nHost 7 is interested in task 1.\nHost 8 is interested in task 4.\nHost 11 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1173", "image": "data/matching/graph_visual/hard/graph1173.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 1 is interested in task 0.\nHost 13 is interested in task 9.\nHost 7 is interested in task 14.\nHost 13 is interested in task 14.\nHost 6 is interested in task 10.\nHost 10 is interested in task 2.\nHost 2 is interested in task 11.\nHost 10 is interested in task 1.\nHost 13 is interested in task 10.\nHost 11 is interested in task 0.\nHost 4 is interested in task 6.\nHost 8 is interested in task 2.\nHost 5 is interested in task 6.\nHost 9 is interested in task 3.\nHost 14 is interested in task 1.\nHost 1 is interested in task 5.\nHost 9 is interested in task 9.\nHost 13 is interested in task 3.\nHost 12 is interested in task 7.\nHost 11 is interested in task 8.\nHost 0 is interested in task 8.\nHost 4 is interested in task 14.\nHost 9 is interested in task 15.\nHost 11 is interested in task 13.\nHost 1 is interested in task 9.\nHost 14 is interested in task 8.\nHost 12 is interested in task 6.\nHost 9 is interested in task 14.\nHost 0 is interested in task 11.\nHost 2 is interested in task 2.\nHost 9 is interested in task 11.\nHost 7 is interested in task 6.\nHost 12 is interested in task 5.\nHost 4 is interested in task 11.\nHost 11 is interested in task 7.\nHost 12 is interested in task 12.\nHost 2 is interested in task 12.\nHost 2 is interested in task 15.\nHost 5 is interested in task 13.\nHost 4 is interested in task 15.\nHost 9 is interested in task 7.\nHost 5 is interested in task 12.\nHost 9 is interested in task 12.\nHost 0 is interested in task 1.\nHost 10 is interested in task 15.\nHost 12 is interested in task 11.\nHost 8 is interested in task 9.\nHost 13 is interested in task 7.\nHost 4 is interested in task 0.\nHost 1 is interested in task 12.\nHost 2 is interested in task 1.\nHost 14 is interested in task 4.\nHost 11 is interested in task 15.\nHost 5 is interested in task 15.\nHost 3 is interested in task 10.\nHost 3 is interested in task 11.\nHost 1 is interested in task 7.\nHost 6 is interested in task 8.\nHost 2 is interested in task 13.\nHost 12 is interested in task 2.\nHost 5 is interested in task 4.\nHost 8 is interested in task 7.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 9 is interested in task 13.\nHost 7 is interested in task 1.\nHost 11 is interested in task 12.\nHost 12 is interested in task 4.\nHost 11 is interested in task 10.\nHost 1 is interested in task 10.\nHost 9 is interested in task 0.\nHost 12 is interested in task 1.\nHost 7 is interested in task 3.\nHost 11 is interested in task 6.\nHost 9 is interested in task 4.\nHost 7 is interested in task 2.\nHost 5 is interested in task 10.\nHost 8 is interested in task 0.\nHost 2 is interested in task 8.\nHost 4 is interested in task 4.\nHost 11 is interested in task 4.\nHost 4 is interested in task 12.\nHost 13 is interested in task 13.\nHost 2 is interested in task 6.\nHost 1 is interested in task 8.\nHost 5 is interested in task 8.\nHost 12 is interested in task 0.\nHost 2 is interested in task 7.\nHost 10 is interested in task 9.\nHost 5 is interested in task 0.\nHost 10 is interested in task 6.\nHost 5 is interested in task 14.\nHost 6 is interested in task 11.\nHost 7 is interested in task 7.\nHost 5 is interested in task 3.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph555", "image": "data/matching/graph_visual/hard/graph555.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 5 is interested in task 0.\nHost 1 is interested in task 12.\nHost 9 is interested in task 6.\nHost 7 is interested in task 8.\nHost 11 is interested in task 9.\nHost 3 is interested in task 5.\nHost 10 is interested in task 8.\nHost 3 is interested in task 12.\nHost 5 is interested in task 3.\nHost 11 is interested in task 1.\nHost 5 is interested in task 12.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 11 is interested in task 11.\nHost 2 is interested in task 5.\nHost 5 is interested in task 9.\nHost 5 is interested in task 7.\nHost 3 is interested in task 11.\nHost 8 is interested in task 12.\nHost 2 is interested in task 7.\nHost 5 is interested in task 4.\nHost 5 is interested in task 2.\nHost 5 is interested in task 11.\nHost 5 is interested in task 1.\nHost 0 is interested in task 8.\nHost 3 is interested in task 10.\nHost 4 is interested in task 7.\nHost 11 is interested in task 7.\nHost 7 is interested in task 12.\nHost 11 is interested in task 6.\nHost 6 is interested in task 8.\nHost 11 is interested in task 0.\nHost 3 is interested in task 8.\nHost 5 is interested in task 6.\nHost 8 is interested in task 7.\nHost 10 is interested in task 12.\nHost 2 is interested in task 4.\nHost 7 is interested in task 6.\nHost 9 is interested in task 0.\nHost 11 is interested in task 12.\nHost 6 is interested in task 4.\nHost 6 is interested in task 2.\nHost 8 is interested in task 2.\nHost 8 is interested in task 4.\nHost 7 is interested in task 5.\nHost 11 is interested in task 3.\nHost 5 is interested in task 10.\nHost 11 is interested in task 5.\nHost 4 is interested in task 0.\nHost 11 is interested in task 4.\nHost 3 is interested in task 7.\nHost 0 is interested in task 10.\nHost 1 is interested in task 6.\nHost 3 is interested in task 9.\nHost 10 is interested in task 7.\nHost 10 is interested in task 3.\nHost 3 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph800", "image": "data/matching/graph_visual/hard/graph800.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 14.\nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 6 is interested in task 13.\nHost 5 is interested in task 13.\nHost 9 is interested in task 13.\nHost 12 is interested in task 7.\nHost 12 is interested in task 2.\nHost 0 is interested in task 5.\nHost 12 is interested in task 5.\nHost 5 is interested in task 3.\nHost 5 is interested in task 10.\nHost 2 is interested in task 3.\nHost 8 is interested in task 10.\nHost 10 is interested in task 3.\nHost 11 is interested in task 3.\nHost 1 is interested in task 13.\nHost 3 is interested in task 3.\nHost 2 is interested in task 6.\nHost 5 is interested in task 9.\nHost 11 is interested in task 6.\nHost 11 is interested in task 5.\nHost 1 is interested in task 7.\nHost 3 is interested in task 14.\nHost 7 is interested in task 10.\nHost 9 is interested in task 4.\nHost 12 is interested in task 11.\nHost 4 is interested in task 10.\nHost 3 is interested in task 4.\nHost 4 is interested in task 13.\nHost 1 is interested in task 4.\nHost 12 is interested in task 3.\nHost 0 is interested in task 10.\nHost 11 is interested in task 13.\nHost 3 is interested in task 8.\nHost 10 is interested in task 7.\nHost 12 is interested in task 8.\nHost 9 is interested in task 8.\nHost 11 is interested in task 7.\nHost 10 is interested in task 8.\nHost 12 is interested in task 13.\nHost 0 is interested in task 0.\nHost 12 is interested in task 10.\nHost 6 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 8.\nHost 1 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 9.\nHost 8 is interested in task 11.\nHost 0 is interested in task 9.\nHost 8 is interested in task 13.\nHost 4 is interested in task 4.\nHost 4 is interested in task 7.\nHost 12 is interested in task 1.\nHost 5 is interested in task 2.\nHost 8 is interested in task 12.\nHost 0 is interested in task 6.\nHost 5 is interested in task 14.\nHost 7 is interested in task 9.\nHost 2 is interested in task 11.\nHost 7 is interested in task 12.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1256", "image": "data/matching/graph_visual/hard/graph1256.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 8.\nHost 13 is interested in task 14.\nHost 1 is interested in task 16.\nHost 1 is interested in task 12.\nHost 12 is interested in task 14.\nHost 0 is interested in task 11.\nHost 3 is interested in task 0.\nHost 12 is interested in task 9.\nHost 3 is interested in task 4.\nHost 8 is interested in task 4.\nHost 7 is interested in task 7.\nHost 12 is interested in task 13.\nHost 12 is interested in task 2.\nHost 7 is interested in task 15.\nHost 6 is interested in task 10.\nHost 7 is interested in task 14.\nHost 11 is interested in task 17.\nHost 14 is interested in task 17.\nHost 3 is interested in task 6.\nHost 9 is interested in task 13.\nHost 13 is interested in task 16.\nHost 12 is interested in task 17.\nHost 8 is interested in task 2.\nHost 6 is interested in task 16.\nHost 13 is interested in task 9.\nHost 11 is interested in task 14.\nHost 4 is interested in task 11.\nHost 7 is interested in task 9.\nHost 9 is interested in task 0.\nHost 5 is interested in task 13.\nHost 11 is interested in task 8.\nHost 0 is interested in task 3.\nHost 1 is interested in task 14.\nHost 10 is interested in task 8.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 7 is interested in task 6.\nHost 14 is interested in task 9.\nHost 12 is interested in task 12.\nHost 13 is interested in task 11.\nHost 10 is interested in task 10.\nHost 1 is interested in task 6.\nHost 0 is interested in task 2.\nHost 0 is interested in task 12.\nHost 4 is interested in task 12.\nHost 13 is interested in task 7.\nHost 1 is interested in task 4.\nHost 14 is interested in task 16.\nHost 3 is interested in task 5.\nHost 7 is interested in task 3.\nHost 8 is interested in task 15.\nHost 6 is interested in task 11.\nHost 6 is interested in task 12.\nHost 5 is interested in task 2.\nHost 9 is interested in task 12.\nHost 7 is interested in task 10.\nHost 8 is interested in task 0.\nHost 1 is interested in task 17.\nHost 8 is interested in task 12.\nHost 6 is interested in task 13.\nHost 14 is interested in task 6.\nHost 8 is interested in task 1.\nHost 13 is interested in task 1.\nHost 3 is interested in task 8.\nHost 1 is interested in task 7.\nHost 12 is interested in task 15.\nHost 12 is interested in task 1.\nHost 3 is interested in task 9.\nHost 1 is interested in task 15.\nHost 14 is interested in task 14.\nHost 10 is interested in task 2.\nHost 8 is interested in task 17.\nHost 13 is interested in task 2.\nHost 1 is interested in task 9.\nHost 3 is interested in task 12.\nHost 13 is interested in task 17.\nHost 8 is interested in task 10.\nHost 5 is interested in task 15.\nHost 13 is interested in task 4.\nHost 8 is interested in task 8.\nHost 4 is interested in task 3.\nHost 14 is interested in task 1.\nHost 10 is interested in task 15.\nHost 7 is interested in task 5.\nHost 1 is interested in task 10.\nHost 12 is interested in task 7.\nHost 12 is interested in task 4.\nHost 10 is interested in task 9.\nHost 0 is interested in task 8.\nHost 13 is interested in task 0.\nHost 7 is interested in task 16.\nHost 2 is interested in task 16.\nHost 1 is interested in task 13.\nHost 12 is interested in task 0.\nHost 13 is interested in task 12.\nHost 11 is interested in task 7.\nHost 0 is interested in task 16.\nHost 13 is interested in task 13.\nHost 10 is interested in task 13.\nHost 8 is interested in task 7.\nHost 14 is interested in task 3.\nHost 2 is interested in task 5.\nHost 13 is interested in task 10.\nHost 7 is interested in task 8.\nHost 13 is interested in task 5.\nHost 4 is interested in task 9.\nHost 11 is interested in task 6.\nHost 1 is interested in task 5.\nHost 4 is interested in task 8.\nHost 6 is interested in task 14.\nHost 7 is interested in task 13.\nHost 11 is interested in task 13.\nHost 4 is interested in task 16. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph765", "image": "data/matching/graph_visual/hard/graph765.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 10 is interested in task 13.\nHost 7 is interested in task 5.\nHost 12 is interested in task 9.\nHost 6 is interested in task 10.\nHost 1 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 4.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 6 is interested in task 8.\nHost 7 is interested in task 12.\nHost 12 is interested in task 1.\nHost 3 is interested in task 3.\nHost 6 is interested in task 0.\nHost 1 is interested in task 11.\nHost 9 is interested in task 13.\nHost 10 is interested in task 2.\nHost 5 is interested in task 12.\nHost 6 is interested in task 12.\nHost 5 is interested in task 13.\nHost 1 is interested in task 0.\nHost 10 is interested in task 12.\nHost 8 is interested in task 12.\nHost 12 is interested in task 3.\nHost 12 is interested in task 7.\nHost 12 is interested in task 13.\nHost 5 is interested in task 4.\nHost 12 is interested in task 12.\nHost 0 is interested in task 0.\nHost 4 is interested in task 9.\nHost 10 is interested in task 10.\nHost 5 is interested in task 8.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 4 is interested in task 8.\nHost 4 is interested in task 6.\nHost 7 is interested in task 9.\nHost 1 is interested in task 13.\nHost 10 is interested in task 1.\nHost 7 is interested in task 10.\nHost 6 is interested in task 13.\nHost 4 is interested in task 0.\nHost 1 is interested in task 7.\nHost 5 is interested in task 5.\nHost 7 is interested in task 8.\nHost 9 is interested in task 12.\nHost 2 is interested in task 0.\nHost 9 is interested in task 0.\nHost 3 is interested in task 2.\nHost 3 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 1 is interested in task 8.\nHost 10 is interested in task 5.\nHost 7 is interested in task 3.\nHost 10 is interested in task 11.\nHost 12 is interested in task 5.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph873", "image": "data/matching/graph_visual/hard/graph873.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 9.\nHost 13 is interested in task 8.\nHost 11 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 9.\nHost 1 is interested in task 6.\nHost 6 is interested in task 7.\nHost 13 is interested in task 7.\nHost 6 is interested in task 3.\nHost 8 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 3.\nHost 11 is interested in task 9.\nHost 8 is interested in task 0.\nHost 1 is interested in task 5.\nHost 12 is interested in task 1.\nHost 1 is interested in task 1.\nHost 5 is interested in task 8.\nHost 2 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 6.\nHost 2 is interested in task 0.\nHost 8 is interested in task 5.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2.\nHost 8 is interested in task 10.\nHost 8 is interested in task 6.\nHost 2 is interested in task 3.\nHost 5 is interested in task 9.\nHost 10 is interested in task 1.\nHost 5 is interested in task 7.\nHost 2 is interested in task 5.\nHost 3 is interested in task 2.\nHost 12 is interested in task 2.\nHost 9 is interested in task 4.\nHost 1 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 7.\nHost 0 is interested in task 11.\nHost 12 is interested in task 3.\nHost 10 is interested in task 7.\nHost 5 is interested in task 3.\nHost 9 is interested in task 10.\nHost 9 is interested in task 11.\nHost 6 is interested in task 2.\nHost 2 is interested in task 6.\nHost 11 is interested in task 2.\nHost 1 is interested in task 11.\nHost 1 is interested in task 8.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 13 is interested in task 5.\nHost 13 is interested in task 1.\nHost 3 is interested in task 10.\nHost 8 is interested in task 2.\nHost 7 is interested in task 10.\nHost 2 is interested in task 11.\nHost 3 is interested in task 7.\nHost 10 is interested in task 0.\nHost 3 is interested in task 8.\nHost 2 is interested in task 7.\nHost 4 is interested in task 8.\nHost 8 is interested in task 1.\nHost 12 is interested in task 4.\nHost 4 is interested in task 0.\nHost 9 is interested in task 0.\nHost 6 is interested in task 8.\nHost 0 is interested in task 10.\nHost 12 is interested in task 9.\nHost 10 is interested in task 6.\nHost 9 is interested in task 5.\nHost 12 is interested in task 8.\nHost 5 is interested in task 10.\nHost 7 is interested in task 7.\nHost 12 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph420", "image": "data/matching/graph_visual/hard/graph420.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 10 is interested in task 5.\nHost 11 is interested in task 3.\nHost 1 is interested in task 0.\nHost 7 is interested in task 6.\nHost 3 is interested in task 7.\nHost 10 is interested in task 6.\nHost 1 is interested in task 5.\nHost 1 is interested in task 8.\nHost 0 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 2 is interested in task 6.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 6 is interested in task 7.\nHost 2 is interested in task 5.\nHost 11 is interested in task 2.\nHost 8 is interested in task 3.\nHost 6 is interested in task 4.\nHost 11 is interested in task 8.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 8 is interested in task 1.\nHost 2 is interested in task 0.\nHost 8 is interested in task 6.\nHost 0 is interested in task 7.\nHost 0 is interested in task 4.\nHost 8 is interested in task 7.\nHost 1 is interested in task 1.\nHost 8 is interested in task 4.\nHost 8 is interested in task 8.\nHost 9 is interested in task 8.\nHost 10 is interested in task 7.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 8 is interested in task 0.\nHost 9 is interested in task 7.\nHost 3 is interested in task 5.\nHost 0 is interested in task 2.\nHost 4 is interested in task 5.\nHost 10 is interested in task 8.\nHost 7 is interested in task 0.\nHost 7 is interested in task 8.\nHost 2 is interested in task 7.\nHost 0 is interested in task 6.\nHost 9 is interested in task 1.\nHost 11 is interested in task 7.\nHost 6 is interested in task 3.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1097", "image": "data/matching/graph_visual/hard/graph1097.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 12.\nHost 14 is interested in task 11.\nHost 1 is interested in task 6.\nHost 0 is interested in task 10.\nHost 6 is interested in task 0.\nHost 14 is interested in task 8.\nHost 10 is interested in task 1.\nHost 0 is interested in task 5.\nHost 12 is interested in task 2.\nHost 11 is interested in task 2.\nHost 14 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 9.\nHost 13 is interested in task 12.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 11 is interested in task 9.\nHost 10 is interested in task 6.\nHost 10 is interested in task 8.\nHost 3 is interested in task 7.\nHost 10 is interested in task 7.\nHost 6 is interested in task 2.\nHost 1 is interested in task 8.\nHost 2 is interested in task 12.\nHost 5 is interested in task 8.\nHost 0 is interested in task 3.\nHost 3 is interested in task 5.\nHost 9 is interested in task 11.\nHost 8 is interested in task 11.\nHost 7 is interested in task 2.\nHost 14 is interested in task 2.\nHost 2 is interested in task 10.\nHost 7 is interested in task 5.\nHost 2 is interested in task 7.\nHost 5 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 9.\nHost 4 is interested in task 4.\nHost 12 is interested in task 7.\nHost 14 is interested in task 3.\nHost 12 is interested in task 8.\nHost 10 is interested in task 3.\nHost 4 is interested in task 8.\nHost 5 is interested in task 11.\nHost 9 is interested in task 7.\nHost 8 is interested in task 0.\nHost 10 is interested in task 11.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 9.\nHost 6 is interested in task 8.\nHost 8 is interested in task 12.\nHost 8 is interested in task 1.\nHost 12 is interested in task 12.\nHost 7 is interested in task 10.\nHost 10 is interested in task 5.\nHost 7 is interested in task 4.\nHost 14 is interested in task 4.\nHost 13 is interested in task 9.\nHost 4 is interested in task 2.\nHost 8 is interested in task 10.\nHost 4 is interested in task 7.\nHost 0 is interested in task 11.\nHost 7 is interested in task 3.\nHost 1 is interested in task 7.\nHost 12 is interested in task 9.\nHost 1 is interested in task 1.\nHost 5 is interested in task 12.\nHost 8 is interested in task 4.\nHost 5 is interested in task 0.\nHost 9 is interested in task 12.\nHost 9 is interested in task 10.\nHost 10 is interested in task 12.\nHost 1 is interested in task 4.\nHost 2 is interested in task 11.\nHost 1 is interested in task 9.\nHost 6 is interested in task 4.\nHost 13 is interested in task 10.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph961", "image": "data/matching/graph_visual/hard/graph961.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 8 is interested in task 8.\nHost 5 is interested in task 1.\nHost 1 is interested in task 10.\nHost 0 is interested in task 9.\nHost 2 is interested in task 8.\nHost 2 is interested in task 7.\nHost 11 is interested in task 13.\nHost 3 is interested in task 2.\nHost 1 is interested in task 11.\nHost 5 is interested in task 3.\nHost 11 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 11.\nHost 3 is interested in task 14.\nHost 11 is interested in task 12.\nHost 2 is interested in task 13.\nHost 8 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 6.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 5 is interested in task 6.\nHost 10 is interested in task 14.\nHost 5 is interested in task 5.\nHost 13 is interested in task 12.\nHost 7 is interested in task 11.\nHost 0 is interested in task 8.\nHost 1 is interested in task 8.\nHost 0 is interested in task 1.\nHost 2 is interested in task 9.\nHost 7 is interested in task 4.\nHost 1 is interested in task 14.\nHost 4 is interested in task 1.\nHost 8 is interested in task 3.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 11 is interested in task 0.\nHost 2 is interested in task 14.\nHost 7 is interested in task 3.\nHost 5 is interested in task 14.\nHost 6 is interested in task 4.\nHost 3 is interested in task 12.\nHost 11 is interested in task 11.\nHost 1 is interested in task 12.\nHost 9 is interested in task 3.\nHost 8 is interested in task 10.\nHost 8 is interested in task 0.\nHost 4 is interested in task 11.\nHost 2 is interested in task 10.\nHost 2 is interested in task 12.\nHost 13 is interested in task 10.\nHost 1 is interested in task 4.\nHost 9 is interested in task 6.\nHost 1 is interested in task 13.\nHost 8 is interested in task 9.\nHost 3 is interested in task 9.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 13 is interested in task 13.\nHost 10 is interested in task 13.\nHost 12 is interested in task 0.\nHost 1 is interested in task 6.\nHost 7 is interested in task 13.\nHost 11 is interested in task 4.\nHost 13 is interested in task 3.\nHost 13 is interested in task 6.\nHost 1 is interested in task 9.\nHost 13 is interested in task 8.\nHost 10 is interested in task 5.\nHost 13 is interested in task 7.\nHost 10 is interested in task 6.\nHost 10 is interested in task 2.\nHost 4 is interested in task 3.\nHost 7 is interested in task 9.\nHost 10 is interested in task 0.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph212", "image": "data/matching/graph_visual/hard/graph212.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 7 is interested in task 0.\nHost 10 is interested in task 3.\nHost 5 is interested in task 7.\nHost 9 is interested in task 6.\nHost 7 is interested in task 5.\nHost 10 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 1.\nHost 1 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 7.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 9 is interested in task 4.\nHost 9 is interested in task 5.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 1 is interested in task 4.\nHost 5 is interested in task 4.\nHost 10 is interested in task 2.\nHost 6 is interested in task 1.\nHost 4 is interested in task 3.\nHost 1 is interested in task 6.\nHost 8 is interested in task 2.\nHost 4 is interested in task 2.\nHost 1 is interested in task 5.\nHost 6 is interested in task 6.\nHost 10 is interested in task 4.\nHost 1 is interested in task 2.\nHost 9 is interested in task 7.\nHost 7 is interested in task 2.\nHost 9 is interested in task 3.\nHost 9 is interested in task 0.\nHost 8 is interested in task 0.\nHost 4 is interested in task 6.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 10 is interested in task 1.\nHost 10 is interested in task 7.\nHost 6 is interested in task 4.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph885", "image": "data/matching/graph_visual/hard/graph885.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 4 is interested in task 8.\nHost 7 is interested in task 6.\nHost 11 is interested in task 2.\nHost 11 is interested in task 7.\nHost 1 is interested in task 10.\nHost 7 is interested in task 4.\nHost 0 is interested in task 10.\nHost 0 is interested in task 0.\nHost 10 is interested in task 2.\nHost 11 is interested in task 1.\nHost 3 is interested in task 11.\nHost 11 is interested in task 10.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 9.\nHost 2 is interested in task 8.\nHost 4 is interested in task 4.\nHost 9 is interested in task 10.\nHost 9 is interested in task 8.\nHost 7 is interested in task 0.\nHost 4 is interested in task 5.\nHost 12 is interested in task 0.\nHost 8 is interested in task 11.\nHost 12 is interested in task 7.\nHost 1 is interested in task 1.\nHost 7 is interested in task 10.\nHost 5 is interested in task 1.\nHost 11 is interested in task 5.\nHost 10 is interested in task 6.\nHost 11 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 4.\nHost 1 is interested in task 8.\nHost 12 is interested in task 1.\nHost 12 is interested in task 4.\nHost 9 is interested in task 5.\nHost 0 is interested in task 8.\nHost 8 is interested in task 7.\nHost 6 is interested in task 9.\nHost 8 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 2 is interested in task 11.\nHost 4 is interested in task 0.\nHost 4 is interested in task 11.\nHost 3 is interested in task 1.\nHost 11 is interested in task 8.\nHost 11 is interested in task 6.\nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 11 is interested in task 3.\nHost 11 is interested in task 9.\nHost 10 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 2.\nHost 7 is interested in task 8.\nHost 8 is interested in task 10.\nHost 5 is interested in task 3.\nHost 6 is interested in task 11.\nHost 2 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph123", "image": "data/matching/graph_visual/hard/graph123.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 0.\nHost 9 is interested in task 7.\nHost 2 is interested in task 9.\nHost 7 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 9.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 0 is interested in task 7.\nHost 7 is interested in task 7.\nHost 8 is interested in task 3.\nHost 2 is interested in task 6.\nHost 9 is interested in task 4.\nHost 2 is interested in task 8.\nHost 3 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 4.\nHost 8 is interested in task 9.\nHost 7 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 3.\nHost 2 is interested in task 10.\nHost 9 is interested in task 5.\nHost 0 is interested in task 1.\nHost 4 is interested in task 10.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 9 is interested in task 10.\nHost 1 is interested in task 4.\nHost 9 is interested in task 8.\nHost 7 is interested in task 4.\nHost 7 is interested in task 9.\nHost 7 is interested in task 1.\nHost 0 is interested in task 6.\nHost 5 is interested in task 6.\nHost 0 is interested in task 0.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph742", "image": "data/matching/graph_visual/hard/graph742.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 12 is interested in task 4.\nHost 8 is interested in task 6.\nHost 1 is interested in task 0.\nHost 9 is interested in task 4.\nHost 3 is interested in task 11.\nHost 2 is interested in task 11.\nHost 0 is interested in task 8.\nHost 2 is interested in task 9.\nHost 6 is interested in task 2.\nHost 0 is interested in task 11.\nHost 10 is interested in task 8.\nHost 9 is interested in task 3.\nHost 4 is interested in task 7.\nHost 5 is interested in task 6.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 6 is interested in task 8.\nHost 6 is interested in task 3.\nHost 7 is interested in task 10.\nHost 10 is interested in task 9.\nHost 1 is interested in task 4.\nHost 12 is interested in task 9.\nHost 9 is interested in task 0.\nHost 4 is interested in task 11.\nHost 4 is interested in task 3.\nHost 10 is interested in task 11.\nHost 12 is interested in task 11.\nHost 6 is interested in task 4.\nHost 3 is interested in task 5.\nHost 8 is interested in task 3.\nHost 9 is interested in task 9.\nHost 5 is interested in task 4.\nHost 7 is interested in task 2.\nHost 11 is interested in task 5.\nHost 1 is interested in task 11.\nHost 1 is interested in task 6.\nHost 9 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 2.\nHost 9 is interested in task 7.\nHost 5 is interested in task 9.\nHost 8 is interested in task 11.\nHost 8 is interested in task 1.\nHost 5 is interested in task 2.\nHost 2 is interested in task 3.\nHost 9 is interested in task 1.\nHost 5 is interested in task 3.\nHost 11 is interested in task 7.\nHost 11 is interested in task 0.\nHost 6 is interested in task 7.\nHost 11 is interested in task 4.\nHost 3 is interested in task 8.\nHost 11 is interested in task 9.\nHost 11 is interested in task 10.\nHost 10 is interested in task 1.\nHost 4 is interested in task 4.\nHost 11 is interested in task 6.\nHost 7 is interested in task 8.\nHost 2 is interested in task 5.\nHost 5 is interested in task 8.\nHost 8 is interested in task 7.\nHost 5 is interested in task 12.\nHost 0 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 10.\nHost 7 is interested in task 0.\nHost 12 is interested in task 3.\nHost 6 is interested in task 0.\nHost 2 is interested in task 12.\nHost 0 is interested in task 3.\nHost 3 is interested in task 9.\nHost 7 is interested in task 3.\nHost 11 is interested in task 1.\nHost 7 is interested in task 4.\nHost 2 is interested in task 8.\nHost 1 is interested in task 5.\nHost 11 is interested in task 12.\nHost 6 is interested in task 11.\nHost 7 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 11.\nHost 11 is interested in task 8.\nHost 11 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph83", "image": "data/matching/graph_visual/hard/graph83.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 9 is interested in task 3.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 1 is interested in task 2.\nHost 5 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 7.\nHost 1 is interested in task 1.\nHost 5 is interested in task 8.\nHost 5 is interested in task 3.\nHost 0 is interested in task 0.\nHost 4 is interested in task 8.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 5 is interested in task 7.\nHost 4 is interested in task 3.\nHost 2 is interested in task 8.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 9 is interested in task 0.\nHost 3 is interested in task 7.\nHost 6 is interested in task 7.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 6 is interested in task 0.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 8 is interested in task 7.\nHost 0 is interested in task 5.\nHost 3 is interested in task 8.\nHost 9 is interested in task 6.\nHost 0 is interested in task 6.\nHost 6 is interested in task 8.\nHost 8 is interested in task 0.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 1 is interested in task 5.\nHost 6 is interested in task 4.\nHost 7 is interested in task 2.\nHost 2 is interested in task 6.\nHost 8 is interested in task 4.\nHost 8 is interested in task 5.\nHost 6 is interested in task 3.\nHost 4 is interested in task 1.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph778", "image": "data/matching/graph_visual/hard/graph778.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 7 is interested in task 7.\nHost 1 is interested in task 7.\nHost 7 is interested in task 11.\nHost 4 is interested in task 10.\nHost 0 is interested in task 3.\nHost 8 is interested in task 4.\nHost 12 is interested in task 9.\nHost 1 is interested in task 8.\nHost 5 is interested in task 13.\nHost 4 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 11 is interested in task 0.\nHost 6 is interested in task 4.\nHost 12 is interested in task 3.\nHost 0 is interested in task 12.\nHost 9 is interested in task 9.\nHost 1 is interested in task 12.\nHost 2 is interested in task 7.\nHost 8 is interested in task 5.\nHost 1 is interested in task 5.\nHost 6 is interested in task 7.\nHost 4 is interested in task 2.\nHost 6 is interested in task 6.\nHost 9 is interested in task 0.\nHost 6 is interested in task 12.\nHost 3 is interested in task 8.\nHost 5 is interested in task 0.\nHost 0 is interested in task 1.\nHost 9 is interested in task 1.\nHost 5 is interested in task 2.\nHost 10 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 10.\nHost 0 is interested in task 8.\nHost 11 is interested in task 9.\nHost 1 is interested in task 3.\nHost 9 is interested in task 2.\nHost 6 is interested in task 3.\nHost 10 is interested in task 10.\nHost 12 is interested in task 7.\nHost 5 is interested in task 7.\nHost 11 is interested in task 4.\nHost 11 is interested in task 1.\nHost 12 is interested in task 10.\nHost 12 is interested in task 13.\nHost 11 is interested in task 7.\nHost 6 is interested in task 13.\nHost 10 is interested in task 1.\nHost 5 is interested in task 9.\nHost 2 is interested in task 5.\nHost 10 is interested in task 0.\nHost 11 is interested in task 5.\nHost 3 is interested in task 10.\nHost 11 is interested in task 12.\nHost 10 is interested in task 12.\nHost 8 is interested in task 9.\nHost 1 is interested in task 13.\nHost 2 is interested in task 11.\nHost 11 is interested in task 11.\nHost 3 is interested in task 12.\nHost 10 is interested in task 8.\nHost 10 is interested in task 13.\nHost 3 is interested in task 9.\nHost 9 is interested in task 11.\nHost 1 is interested in task 1.\nHost 11 is interested in task 13.\nHost 0 is interested in task 9.\nHost 5 is interested in task 11.\nHost 8 is interested in task 6.\nHost 8 is interested in task 11.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph125", "image": "data/matching/graph_visual/hard/graph125.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 4 is interested in task 0.\nHost 3 is interested in task 5.\nHost 5 is interested in task 4.\nHost 9 is interested in task 10.\nHost 7 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 9.\nHost 3 is interested in task 1.\nHost 2 is interested in task 7.\nHost 7 is interested in task 8.\nHost 4 is interested in task 7.\nHost 4 is interested in task 1.\nHost 9 is interested in task 4.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 9 is interested in task 1.\nHost 4 is interested in task 6.\nHost 2 is interested in task 4.\nHost 8 is interested in task 10.\nHost 3 is interested in task 9.\nHost 4 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 0.\nHost 9 is interested in task 0.\nHost 1 is interested in task 3.\nHost 5 is interested in task 6.\nHost 9 is interested in task 3.\nHost 1 is interested in task 7.\nHost 1 is interested in task 5.\nHost 9 is interested in task 7.\nHost 7 is interested in task 4.\nHost 8 is interested in task 8.\nHost 5 is interested in task 7.\nHost 4 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 8 is interested in task 4.\nHost 5 is interested in task 1.\nHost 1 is interested in task 0.\nHost 8 is interested in task 7.\nHost 7 is interested in task 9.\nHost 7 is interested in task 2.\nHost 3 is interested in task 8.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 5 is interested in task 2.\nHost 3 is interested in task 6.\nHost 9 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph993", "image": "data/matching/graph_visual/hard/graph993.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 5 is interested in task 13.\nHost 12 is interested in task 5.\nHost 11 is interested in task 9.\nHost 5 is interested in task 10.\nHost 6 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 9.\nHost 2 is interested in task 14.\nHost 5 is interested in task 11.\nHost 3 is interested in task 4.\nHost 4 is interested in task 14.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 7 is interested in task 12.\nHost 13 is interested in task 2.\nHost 6 is interested in task 8.\nHost 4 is interested in task 11.\nHost 8 is interested in task 2.\nHost 5 is interested in task 8.\nHost 3 is interested in task 12.\nHost 0 is interested in task 10.\nHost 11 is interested in task 4.\nHost 8 is interested in task 15.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 15.\nHost 7 is interested in task 15.\nHost 12 is interested in task 2.\nHost 4 is interested in task 2.\nHost 12 is interested in task 11.\nHost 2 is interested in task 3.\nHost 12 is interested in task 10.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 14.\nHost 3 is interested in task 9.\nHost 0 is interested in task 9.\nHost 12 is interested in task 9.\nHost 9 is interested in task 11.\nHost 3 is interested in task 6.\nHost 7 is interested in task 9.\nHost 6 is interested in task 14.\nHost 9 is interested in task 14.\nHost 9 is interested in task 6.\nHost 7 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 13.\nHost 10 is interested in task 3.\nHost 13 is interested in task 15.\nHost 6 is interested in task 2.\nHost 10 is interested in task 8.\nHost 11 is interested in task 1.\nHost 1 is interested in task 8.\nHost 10 is interested in task 10.\nHost 10 is interested in task 13.\nHost 13 is interested in task 9.\nHost 2 is interested in task 7.\nHost 11 is interested in task 0.\nHost 9 is interested in task 12.\nHost 5 is interested in task 12.\nHost 2 is interested in task 5.\nHost 10 is interested in task 5.\nHost 1 is interested in task 0.\nHost 6 is interested in task 12.\nHost 12 is interested in task 4.\nHost 13 is interested in task 12.\nHost 8 is interested in task 3.\nHost 1 is interested in task 10.\nHost 1 is interested in task 13.\nHost 11 is interested in task 12.\nHost 1 is interested in task 9.\nHost 6 is interested in task 0.\nHost 9 is interested in task 13.\nHost 4 is interested in task 4.\nHost 3 is interested in task 0.\nHost 11 is interested in task 10.\nHost 11 is interested in task 15.\nHost 0 is interested in task 1.\nHost 10 is interested in task 7.\nHost 7 is interested in task 6.\nHost 6 is interested in task 1.\nHost 0 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph974", "image": "data/matching/graph_visual/hard/graph974.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 2 is interested in task 9.\nHost 5 is interested in task 11.\nHost 8 is interested in task 2.\nHost 11 is interested in task 5.\nHost 9 is interested in task 5.\nHost 0 is interested in task 11.\nHost 9 is interested in task 3.\nHost 2 is interested in task 2.\nHost 11 is interested in task 8.\nHost 8 is interested in task 1.\nHost 12 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 4.\nHost 5 is interested in task 4.\nHost 2 is interested in task 12.\nHost 9 is interested in task 8.\nHost 12 is interested in task 6.\nHost 10 is interested in task 2.\nHost 8 is interested in task 9.\nHost 6 is interested in task 3.\nHost 9 is interested in task 14.\nHost 6 is interested in task 12.\nHost 3 is interested in task 13.\nHost 13 is interested in task 5.\nHost 13 is interested in task 3.\nHost 0 is interested in task 6.\nHost 5 is interested in task 9.\nHost 12 is interested in task 10.\nHost 12 is interested in task 8.\nHost 1 is interested in task 1.\nHost 1 is interested in task 8.\nHost 11 is interested in task 2.\nHost 10 is interested in task 11.\nHost 1 is interested in task 13.\nHost 4 is interested in task 2.\nHost 9 is interested in task 6.\nHost 5 is interested in task 10.\nHost 10 is interested in task 4.\nHost 2 is interested in task 14.\nHost 8 is interested in task 10.\nHost 13 is interested in task 7.\nHost 7 is interested in task 6.\nHost 13 is interested in task 2.\nHost 7 is interested in task 11.\nHost 5 is interested in task 0.\nHost 3 is interested in task 6.\nHost 2 is interested in task 11.\nHost 5 is interested in task 13.\nHost 7 is interested in task 0.\nHost 9 is interested in task 7.\nHost 7 is interested in task 1.\nHost 12 is interested in task 14.\nHost 1 is interested in task 6.\nHost 10 is interested in task 1.\nHost 1 is interested in task 12.\nHost 4 is interested in task 1.\nHost 13 is interested in task 8.\nHost 13 is interested in task 9.\nHost 5 is interested in task 1.\nHost 12 is interested in task 1.\nHost 7 is interested in task 7.\nHost 9 is interested in task 0.\nHost 6 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 4.\nHost 5 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 0.\nHost 9 is interested in task 13.\nHost 5 is interested in task 5.\nHost 9 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 10.\nHost 0 is interested in task 1.\nHost 2 is interested in task 8.\nHost 0 is interested in task 14.\nHost 7 is interested in task 5.\nHost 9 is interested in task 11.\nHost 12 is interested in task 11.\nHost 1 is interested in task 2.\nHost 2 is interested in task 13.\nHost 7 is interested in task 14.\nHost 9 is interested in task 12.\nHost 5 is interested in task 14.\nHost 9 is interested in task 1.\nHost 4 is interested in task 12.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph374", "image": "data/matching/graph_visual/hard/graph374.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 0 is interested in task 12.\nHost 2 is interested in task 11.\nHost 5 is interested in task 11.\nHost 1 is interested in task 11.\nHost 9 is interested in task 9.\nHost 3 is interested in task 0.\nHost 7 is interested in task 9.\nHost 7 is interested in task 12.\nHost 10 is interested in task 5.\nHost 10 is interested in task 0.\nHost 10 is interested in task 10.\nHost 10 is interested in task 3.\nHost 10 is interested in task 7.\nHost 2 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 3.\nHost 2 is interested in task 12.\nHost 9 is interested in task 7.\nHost 9 is interested in task 2.\nHost 1 is interested in task 0.\nHost 9 is interested in task 8.\nHost 9 is interested in task 12.\nHost 0 is interested in task 11.\nHost 0 is interested in task 2.\nHost 8 is interested in task 7.\nHost 4 is interested in task 8.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 6 is interested in task 2.\nHost 10 is interested in task 4.\nHost 10 is interested in task 11.\nHost 1 is interested in task 12.\nHost 7 is interested in task 5.\nHost 0 is interested in task 5.\nHost 7 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 10.\nHost 1 is interested in task 7.\nHost 9 is interested in task 11.\nHost 3 is interested in task 8.\nHost 7 is interested in task 3.\nHost 3 is interested in task 6.\nHost 4 is interested in task 1.\nHost 3 is interested in task 12.\nHost 9 is interested in task 6.\nHost 10 is interested in task 2.\nHost 6 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 3.\nHost 2 is interested in task 9.\nHost 8 is interested in task 8.\nHost 8 is interested in task 11.\nHost 3 is interested in task 4.\nHost 5 is interested in task 10.\nHost 5 is interested in task 3.\nHost 1 is interested in task 10.\nHost 2 is interested in task 10.\nHost 1 is interested in task 9.\nHost 8 is interested in task 12.\nHost 6 is interested in task 5.\nHost 1 is interested in task 6.\nHost 9 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph592", "image": "data/matching/graph_visual/hard/graph592.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 7.\nHost 5 is interested in task 8.\nHost 0 is interested in task 12.\nHost 5 is interested in task 10.\nHost 0 is interested in task 13.\nHost 4 is interested in task 7.\nHost 9 is interested in task 11.\nHost 7 is interested in task 11.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 9 is interested in task 8.\nHost 4 is interested in task 1.\nHost 3 is interested in task 11.\nHost 6 is interested in task 1.\nHost 11 is interested in task 10.\nHost 5 is interested in task 4.\nHost 5 is interested in task 13.\nHost 4 is interested in task 10.\nHost 5 is interested in task 1.\nHost 6 is interested in task 0.\nHost 9 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 12.\nHost 5 is interested in task 5.\nHost 4 is interested in task 13.\nHost 11 is interested in task 8.\nHost 1 is interested in task 10.\nHost 10 is interested in task 5.\nHost 1 is interested in task 8.\nHost 11 is interested in task 0.\nHost 0 is interested in task 5.\nHost 6 is interested in task 10.\nHost 8 is interested in task 10.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 6 is interested in task 4.\nHost 1 is interested in task 2.\nHost 2 is interested in task 5.\nHost 10 is interested in task 3.\nHost 3 is interested in task 4.\nHost 11 is interested in task 13.\nHost 5 is interested in task 0.\nHost 3 is interested in task 6.\nHost 7 is interested in task 10.\nHost 5 is interested in task 9.\nHost 11 is interested in task 12.\nHost 9 is interested in task 2.\nHost 0 is interested in task 11.\nHost 1 is interested in task 5.\nHost 6 is interested in task 6.\nHost 8 is interested in task 8.\nHost 3 is interested in task 8.\nHost 3 is interested in task 2.\nHost 1 is interested in task 13.\nHost 4 is interested in task 9.\nHost 1 is interested in task 7.\nHost 7 is interested in task 1.\nHost 0 is interested in task 9.\nHost 9 is interested in task 3.\nHost 0 is interested in task 4.\nHost 11 is interested in task 1.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 8 is interested in task 12.\nHost 2 is interested in task 11.\nHost 1 is interested in task 6.\nHost 2 is interested in task 12.\nHost 9 is interested in task 1.\nHost 8 is interested in task 1.\nHost 11 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph748", "image": "data/matching/graph_visual/hard/graph748.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 1.\nHost 6 is interested in task 10.\nHost 10 is interested in task 9.\nHost 1 is interested in task 12.\nHost 11 is interested in task 8.\nHost 3 is interested in task 4.\nHost 5 is interested in task 3.\nHost 12 is interested in task 12.\nHost 7 is interested in task 10.\nHost 9 is interested in task 8.\nHost 6 is interested in task 0.\nHost 9 is interested in task 1.\nHost 5 is interested in task 5.\nHost 8 is interested in task 8.\nHost 4 is interested in task 2.\nHost 6 is interested in task 5.\nHost 4 is interested in task 4.\nHost 4 is interested in task 1.\nHost 0 is interested in task 5.\nHost 8 is interested in task 7.\nHost 8 is interested in task 10.\nHost 0 is interested in task 6.\nHost 6 is interested in task 12.\nHost 5 is interested in task 7.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 3.\nHost 2 is interested in task 10.\nHost 5 is interested in task 0.\nHost 5 is interested in task 10.\nHost 9 is interested in task 10.\nHost 11 is interested in task 9.\nHost 3 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 1 is interested in task 5.\nHost 8 is interested in task 0.\nHost 1 is interested in task 3.\nHost 4 is interested in task 9.\nHost 12 is interested in task 10.\nHost 11 is interested in task 0.\nHost 10 is interested in task 0.\nHost 9 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 7.\nHost 12 is interested in task 3.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 2 is interested in task 0.\nHost 9 is interested in task 12.\nHost 7 is interested in task 11.\nHost 1 is interested in task 9.\nHost 2 is interested in task 6.\nHost 10 is interested in task 11.\nHost 12 is interested in task 11.\nHost 8 is interested in task 4.\nHost 12 is interested in task 9.\nHost 12 is interested in task 4.\nHost 11 is interested in task 12.\nHost 11 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1048", "image": "data/matching/graph_visual/hard/graph1048.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 8.\nHost 10 is interested in task 11.\nHost 9 is interested in task 10.\nHost 12 is interested in task 15.\nHost 11 is interested in task 4.\nHost 4 is interested in task 10.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 10 is interested in task 14.\nHost 11 is interested in task 12.\nHost 9 is interested in task 0.\nHost 10 is interested in task 16.\nHost 6 is interested in task 0.\nHost 6 is interested in task 8.\nHost 11 is interested in task 15.\nHost 10 is interested in task 2.\nHost 11 is interested in task 8.\nHost 2 is interested in task 4.\nHost 1 is interested in task 16.\nHost 4 is interested in task 9.\nHost 6 is interested in task 11.\nHost 12 is interested in task 10.\nHost 2 is interested in task 8.\nHost 8 is interested in task 11.\nHost 13 is interested in task 16.\nHost 0 is interested in task 14.\nHost 13 is interested in task 6.\nHost 8 is interested in task 14.\nHost 13 is interested in task 14.\nHost 1 is interested in task 6.\nHost 9 is interested in task 7.\nHost 3 is interested in task 5.\nHost 4 is interested in task 8.\nHost 8 is interested in task 13.\nHost 12 is interested in task 6.\nHost 2 is interested in task 9.\nHost 1 is interested in task 7.\nHost 5 is interested in task 9.\nHost 12 is interested in task 3.\nHost 6 is interested in task 1.\nHost 8 is interested in task 6.\nHost 8 is interested in task 5.\nHost 11 is interested in task 16.\nHost 8 is interested in task 10.\nHost 9 is interested in task 5.\nHost 6 is interested in task 3.\nHost 13 is interested in task 4.\nHost 2 is interested in task 6.\nHost 2 is interested in task 14.\nHost 12 is interested in task 11.\nHost 9 is interested in task 15.\nHost 12 is interested in task 8.\nHost 5 is interested in task 1.\nHost 11 is interested in task 6.\nHost 1 is interested in task 13.\nHost 11 is interested in task 11.\nHost 7 is interested in task 16.\nHost 1 is interested in task 0.\nHost 9 is interested in task 6.\nHost 11 is interested in task 3.\nHost 1 is interested in task 8.\nHost 13 is interested in task 9.\nHost 5 is interested in task 0.\nHost 8 is interested in task 1.\nHost 1 is interested in task 10.\nHost 12 is interested in task 12.\nHost 10 is interested in task 4.\nHost 7 is interested in task 14.\nHost 6 is interested in task 9.\nHost 6 is interested in task 10.\nHost 3 is interested in task 12.\nHost 3 is interested in task 10.\nHost 10 is interested in task 9.\nHost 2 is interested in task 12.\nHost 7 is interested in task 7.\nHost 10 is interested in task 5.\nHost 9 is interested in task 9.\nHost 5 is interested in task 5.\nHost 0 is interested in task 7.\nHost 6 is interested in task 14.\nHost 6 is interested in task 13.\nHost 4 is interested in task 14.\nHost 8 is interested in task 9.\nHost 0 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph614", "image": "data/matching/graph_visual/hard/graph614.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 11.\nHost 9 is interested in task 2.\nHost 11 is interested in task 0.\nHost 1 is interested in task 14.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 2 is interested in task 1.\nHost 7 is interested in task 9.\nHost 7 is interested in task 5.\nHost 0 is interested in task 12.\nHost 6 is interested in task 13.\nHost 6 is interested in task 3.\nHost 5 is interested in task 8.\nHost 7 is interested in task 6.\nHost 11 is interested in task 14.\nHost 2 is interested in task 5.\nHost 0 is interested in task 14.\nHost 3 is interested in task 2.\nHost 6 is interested in task 1.\nHost 5 is interested in task 2.\nHost 5 is interested in task 5.\nHost 2 is interested in task 6.\nHost 9 is interested in task 13.\nHost 11 is interested in task 13.\nHost 4 is interested in task 6.\nHost 9 is interested in task 8.\nHost 4 is interested in task 10.\nHost 2 is interested in task 12.\nHost 11 is interested in task 11.\nHost 1 is interested in task 9.\nHost 0 is interested in task 7.\nHost 1 is interested in task 1.\nHost 2 is interested in task 10.\nHost 4 is interested in task 12.\nHost 2 is interested in task 9.\nHost 7 is interested in task 2.\nHost 0 is interested in task 13.\nHost 7 is interested in task 10.\nHost 4 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 2.\nHost 8 is interested in task 2.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 9 is interested in task 14.\nHost 10 is interested in task 8.\nHost 3 is interested in task 13.\nHost 10 is interested in task 1.\nHost 9 is interested in task 5.\nHost 5 is interested in task 1.\nHost 8 is interested in task 9.\nHost 3 is interested in task 8.\nHost 7 is interested in task 11.\nHost 2 is interested in task 0.\nHost 6 is interested in task 8.\nHost 11 is interested in task 1.\nHost 1 is interested in task 13.\nHost 9 is interested in task 0.\nHost 11 is interested in task 12.\nHost 6 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 12.\nHost 1 is interested in task 4.\nHost 9 is interested in task 9.\nHost 4 is interested in task 0.\nHost 5 is interested in task 10.\nHost 9 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph111", "image": "data/matching/graph_visual/hard/graph111.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 9.\nHost 1 is interested in task 4.\nHost 9 is interested in task 8.\nHost 7 is interested in task 4.\nHost 7 is interested in task 5.\nHost 4 is interested in task 7.\nHost 0 is interested in task 3.\nHost 7 is interested in task 8.\nHost 1 is interested in task 3.\nHost 8 is interested in task 1.\nHost 8 is interested in task 3.\nHost 0 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 6 is interested in task 3.\nHost 0 is interested in task 7.\nHost 3 is interested in task 2.\nHost 2 is interested in task 8.\nHost 1 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 8 is interested in task 9.\nHost 9 is interested in task 2.\nHost 1 is interested in task 6.\nHost 4 is interested in task 9.\nHost 4 is interested in task 2.\nHost 9 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 0.\nHost 8 is interested in task 5.\nHost 7 is interested in task 3.\nHost 6 is interested in task 6.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1043", "image": "data/matching/graph_visual/hard/graph1043.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 0 is interested in task 2.\nHost 6 is interested in task 14.\nHost 11 is interested in task 13.\nHost 12 is interested in task 12.\nHost 2 is interested in task 1.\nHost 9 is interested in task 8.\nHost 11 is interested in task 9.\nHost 8 is interested in task 13.\nHost 1 is interested in task 10.\nHost 2 is interested in task 6.\nHost 9 is interested in task 10.\nHost 12 is interested in task 13.\nHost 9 is interested in task 2.\nHost 9 is interested in task 0.\nHost 10 is interested in task 13.\nHost 8 is interested in task 11.\nHost 10 is interested in task 11.\nHost 10 is interested in task 3.\nHost 7 is interested in task 2.\nHost 4 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 2.\nHost 6 is interested in task 10.\nHost 3 is interested in task 13.\nHost 12 is interested in task 11.\nHost 12 is interested in task 8.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 8 is interested in task 3.\nHost 12 is interested in task 7.\nHost 13 is interested in task 0.\nHost 0 is interested in task 3.\nHost 9 is interested in task 11.\nHost 13 is interested in task 11.\nHost 2 is interested in task 15.\nHost 7 is interested in task 13.\nHost 6 is interested in task 5.\nHost 3 is interested in task 12.\nHost 12 is interested in task 9.\nHost 7 is interested in task 3.\nHost 13 is interested in task 5.\nHost 5 is interested in task 11.\nHost 5 is interested in task 9.\nHost 8 is interested in task 2.\nHost 7 is interested in task 12.\nHost 5 is interested in task 8.\nHost 5 is interested in task 3.\nHost 1 is interested in task 1.\nHost 10 is interested in task 6.\nHost 0 is interested in task 12.\nHost 9 is interested in task 5.\nHost 3 is interested in task 16.\nHost 10 is interested in task 8.\nHost 7 is interested in task 16.\nHost 2 is interested in task 13.\nHost 12 is interested in task 15.\nHost 13 is interested in task 16.\nHost 6 is interested in task 7.\nHost 5 is interested in task 10.\nHost 0 is interested in task 9.\nHost 13 is interested in task 1.\nHost 8 is interested in task 7.\nHost 12 is interested in task 4.\nHost 8 is interested in task 1.\nHost 0 is interested in task 16.\nHost 5 is interested in task 15.\nHost 1 is interested in task 11.\nHost 8 is interested in task 6.\nHost 0 is interested in task 7.\nHost 8 is interested in task 9.\nHost 3 is interested in task 10.\nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 12 is interested in task 10.\nHost 10 is interested in task 10.\nHost 2 is interested in task 8.\nHost 2 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 15.\nHost 9 is interested in task 9.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 12.\nHost 9 is interested in task 1.\nHost 0 is interested in task 13.\nHost 4 is interested in task 9.\nHost 1 is interested in task 8.\nHost 3 is interested in task 14.\nHost 5 is interested in task 14.\nHost 8 is interested in task 12.\nHost 10 is interested in task 15.\nHost 5 is interested in task 6.\nHost 10 is interested in task 5.\nHost 4 is interested in task 2.\nHost 0 is interested in task 8.\nHost 6 is interested in task 4.\nHost 13 is interested in task 13.\nHost 13 is interested in task 10.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph647", "image": "data/matching/graph_visual/hard/graph647.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 4 is interested in task 5.\nHost 3 is interested in task 3.\nHost 10 is interested in task 1.\nHost 4 is interested in task 8.\nHost 11 is interested in task 3.\nHost 11 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 6.\nHost 6 is interested in task 2.\nHost 10 is interested in task 8.\nHost 0 is interested in task 9.\nHost 7 is interested in task 7.\nHost 6 is interested in task 5.\nHost 6 is interested in task 3.\nHost 0 is interested in task 1.\nHost 11 is interested in task 4.\nHost 11 is interested in task 8.\nHost 1 is interested in task 5.\nHost 12 is interested in task 1.\nHost 1 is interested in task 4.\nHost 0 is interested in task 6.\nHost 6 is interested in task 8.\nHost 11 is interested in task 5.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 3.\nHost 9 is interested in task 7.\nHost 10 is interested in task 5.\nHost 7 is interested in task 8.\nHost 10 is interested in task 3.\nHost 1 is interested in task 2.\nHost 7 is interested in task 3.\nHost 4 is interested in task 3.\nHost 8 is interested in task 0.\nHost 0 is interested in task 7.\nHost 12 is interested in task 0.\nHost 6 is interested in task 4.\nHost 7 is interested in task 5.\nHost 12 is interested in task 8.\nHost 1 is interested in task 9.\nHost 5 is interested in task 7.\nHost 10 is interested in task 6.\nHost 6 is interested in task 9.\nHost 11 is interested in task 7.\nHost 4 is interested in task 6.\nHost 11 is interested in task 6.\nHost 7 is interested in task 1.\nHost 9 is interested in task 8.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1233", "image": "data/matching/graph_visual/hard/graph1233.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 14.\nHost 6 is interested in task 13.\nHost 0 is interested in task 16.\nHost 2 is interested in task 6.\nHost 5 is interested in task 4.\nHost 9 is interested in task 1.\nHost 13 is interested in task 5.\nHost 1 is interested in task 10.\nHost 13 is interested in task 8.\nHost 10 is interested in task 10.\nHost 8 is interested in task 6.\nHost 4 is interested in task 1.\nHost 10 is interested in task 13.\nHost 11 is interested in task 15.\nHost 13 is interested in task 12.\nHost 1 is interested in task 13.\nHost 11 is interested in task 16.\nHost 11 is interested in task 7.\nHost 9 is interested in task 17.\nHost 11 is interested in task 6.\nHost 3 is interested in task 8.\nHost 3 is interested in task 10.\nHost 14 is interested in task 13.\nHost 1 is interested in task 16.\nHost 4 is interested in task 12.\nHost 9 is interested in task 11.\nHost 4 is interested in task 6.\nHost 10 is interested in task 11.\nHost 9 is interested in task 3.\nHost 4 is interested in task 11.\nHost 8 is interested in task 11.\nHost 6 is interested in task 9.\nHost 7 is interested in task 14.\nHost 10 is interested in task 14.\nHost 7 is interested in task 9.\nHost 1 is interested in task 4.\nHost 12 is interested in task 1.\nHost 10 is interested in task 9.\nHost 10 is interested in task 4.\nHost 2 is interested in task 11.\nHost 9 is interested in task 12.\nHost 12 is interested in task 5.\nHost 13 is interested in task 16.\nHost 0 is interested in task 12.\nHost 4 is interested in task 0.\nHost 12 is interested in task 13.\nHost 7 is interested in task 15.\nHost 6 is interested in task 10.\nHost 10 is interested in task 0.\nHost 13 is interested in task 11.\nHost 14 is interested in task 10.\nHost 3 is interested in task 13.\nHost 14 is interested in task 11.\nHost 6 is interested in task 4.\nHost 7 is interested in task 2.\nHost 7 is interested in task 8.\nHost 10 is interested in task 7.\nHost 2 is interested in task 16.\nHost 9 is interested in task 6.\nHost 3 is interested in task 16.\nHost 12 is interested in task 3.\nHost 13 is interested in task 15.\nHost 12 is interested in task 4.\nHost 8 is interested in task 13.\nHost 13 is interested in task 3.\nHost 9 is interested in task 9.\nHost 8 is interested in task 8.\nHost 10 is interested in task 2.\nHost 6 is interested in task 0.\nHost 4 is interested in task 3.\nHost 14 is interested in task 0.\nHost 14 is interested in task 9.\nHost 5 is interested in task 3.\nHost 9 is interested in task 16.\nHost 0 is interested in task 14.\nHost 9 is interested in task 2.\nHost 14 is interested in task 14.\nHost 7 is interested in task 12.\nHost 14 is interested in task 5.\nHost 10 is interested in task 5.\nHost 5 is interested in task 17.\nHost 10 is interested in task 15.\nHost 7 is interested in task 11.\nHost 0 is interested in task 4.\nHost 14 is interested in task 7.\nHost 14 is interested in task 12.\nHost 9 is interested in task 10.\nHost 2 is interested in task 12.\nHost 12 is interested in task 8.\nHost 2 is interested in task 8.\nHost 7 is interested in task 10.\nHost 7 is interested in task 4.\nHost 11 is interested in task 8.\nHost 7 is interested in task 0.\nHost 13 is interested in task 2.\nHost 14 is interested in task 17.\nHost 4 is interested in task 2.\nHost 2 is interested in task 9.\nHost 5 is interested in task 13.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 2 is interested in task 0.\nHost 7 is interested in task 17.\nHost 3 is interested in task 4.\nHost 14 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph587", "image": "data/matching/graph_visual/hard/graph587.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 13.\nHost 1 is interested in task 6.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 10 is interested in task 5.\nHost 8 is interested in task 6.\nHost 3 is interested in task 9.\nHost 8 is interested in task 2.\nHost 2 is interested in task 10.\nHost 3 is interested in task 3.\nHost 11 is interested in task 6.\nHost 9 is interested in task 13.\nHost 0 is interested in task 2.\nHost 7 is interested in task 11.\nHost 3 is interested in task 4.\nHost 0 is interested in task 4.\nHost 11 is interested in task 9.\nHost 6 is interested in task 4.\nHost 11 is interested in task 12.\nHost 8 is interested in task 0.\nHost 11 is interested in task 4.\nHost 6 is interested in task 0.\nHost 9 is interested in task 11.\nHost 8 is interested in task 1.\nHost 11 is interested in task 1.\nHost 3 is interested in task 11.\nHost 11 is interested in task 10.\nHost 10 is interested in task 11.\nHost 11 is interested in task 3.\nHost 3 is interested in task 12.\nHost 2 is interested in task 5.\nHost 0 is interested in task 3.\nHost 8 is interested in task 4.\nHost 10 is interested in task 6.\nHost 9 is interested in task 2.\nHost 1 is interested in task 4.\nHost 6 is interested in task 3.\nHost 1 is interested in task 0.\nHost 5 is interested in task 12.\nHost 10 is interested in task 13.\nHost 11 is interested in task 2.\nHost 7 is interested in task 1.\nHost 8 is interested in task 11.\nHost 10 is interested in task 12.\nHost 8 is interested in task 12.\nHost 3 is interested in task 10.\nHost 8 is interested in task 3.\nHost 4 is interested in task 10.\nHost 11 is interested in task 5.\nHost 9 is interested in task 6.\nHost 1 is interested in task 10.\nHost 7 is interested in task 5.\nHost 2 is interested in task 11.\nHost 2 is interested in task 0.\nHost 10 is interested in task 8.\nHost 11 is interested in task 0.\nHost 8 is interested in task 13.\nHost 6 is interested in task 9.\nHost 9 is interested in task 3.\nHost 10 is interested in task 3.\nHost 6 is interested in task 6.\nHost 7 is interested in task 12.\nHost 3 is interested in task 2.\nHost 10 is interested in task 2.\nHost 3 is interested in task 5.\nHost 11 is interested in task 7.\nHost 9 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 0 is interested in task 12.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph472", "image": "data/matching/graph_visual/hard/graph472.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 4 is interested in task 6.\nHost 6 is interested in task 5.\nHost 8 is interested in task 7.\nHost 3 is interested in task 8.\nHost 10 is interested in task 6.\nHost 11 is interested in task 0.\nHost 3 is interested in task 3.\nHost 5 is interested in task 8.\nHost 6 is interested in task 8.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 10 is interested in task 9.\nHost 6 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 7.\nHost 2 is interested in task 6.\nHost 10 is interested in task 1.\nHost 2 is interested in task 3.\nHost 9 is interested in task 1.\nHost 4 is interested in task 7.\nHost 7 is interested in task 5.\nHost 7 is interested in task 6.\nHost 8 is interested in task 8.\nHost 10 is interested in task 0.\nHost 0 is interested in task 0.\nHost 6 is interested in task 3.\nHost 10 is interested in task 2.\nHost 8 is interested in task 3.\nHost 11 is interested in task 6.\nHost 5 is interested in task 5.\nHost 5 is interested in task 9.\nHost 6 is interested in task 9.\nHost 11 is interested in task 7.\nHost 3 is interested in task 7.\nHost 8 is interested in task 0.\nHost 7 is interested in task 8.\nHost 0 is interested in task 5.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 9 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph716", "image": "data/matching/graph_visual/hard/graph716.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 0 is interested in task 8.\nHost 8 is interested in task 6.\nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 6 is interested in task 10.\nHost 7 is interested in task 1.\nHost 3 is interested in task 11.\nHost 4 is interested in task 11.\nHost 4 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9.\nHost 5 is interested in task 3.\nHost 5 is interested in task 7.\nHost 8 is interested in task 2.\nHost 10 is interested in task 10.\nHost 1 is interested in task 6.\nHost 5 is interested in task 6.\nHost 7 is interested in task 5.\nHost 12 is interested in task 3.\nHost 9 is interested in task 9.\nHost 2 is interested in task 0.\nHost 8 is interested in task 3.\nHost 9 is interested in task 10.\nHost 10 is interested in task 0.\nHost 6 is interested in task 9.\nHost 1 is interested in task 0.\nHost 2 is interested in task 10.\nHost 10 is interested in task 1.\nHost 8 is interested in task 9.\nHost 6 is interested in task 4.\nHost 8 is interested in task 7.\nHost 6 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 5.\nHost 12 is interested in task 1.\nHost 1 is interested in task 9.\nHost 10 is interested in task 6.\nHost 6 is interested in task 7.\nHost 11 is interested in task 6.\nHost 8 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 6.\nHost 8 is interested in task 0.\nHost 2 is interested in task 9.\nHost 2 is interested in task 1.\nHost 12 is interested in task 11.\nHost 4 is interested in task 10.\nHost 2 is interested in task 11.\nHost 9 is interested in task 4.\nHost 10 is interested in task 9.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 2 is interested in task 3.\nHost 0 is interested in task 7.\nHost 7 is interested in task 9.\nHost 1 is interested in task 5.\nHost 1 is interested in task 7.\nHost 12 is interested in task 2.\nHost 4 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 0.\nHost 12 is interested in task 5.\nHost 5 is interested in task 1.\nHost 6 is interested in task 8.\nHost 9 is interested in task 8.\nHost 4 is interested in task 5.\nHost 7 is interested in task 11.\nHost 2 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph994", "image": "data/matching/graph_visual/hard/graph994.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 9.\nHost 0 is interested in task 4.\nHost 1 is interested in task 11.\nHost 2 is interested in task 6.\nHost 9 is interested in task 12.\nHost 2 is interested in task 4.\nHost 5 is interested in task 9.\nHost 7 is interested in task 4.\nHost 13 is interested in task 5.\nHost 2 is interested in task 14.\nHost 8 is interested in task 13.\nHost 2 is interested in task 0.\nHost 12 is interested in task 6.\nHost 10 is interested in task 12.\nHost 2 is interested in task 9.\nHost 9 is interested in task 2.\nHost 10 is interested in task 5.\nHost 11 is interested in task 1.\nHost 11 is interested in task 7.\nHost 12 is interested in task 15.\nHost 9 is interested in task 10.\nHost 2 is interested in task 5.\nHost 9 is interested in task 4.\nHost 6 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 8.\nHost 1 is interested in task 7.\nHost 0 is interested in task 9.\nHost 0 is interested in task 14.\nHost 1 is interested in task 1.\nHost 13 is interested in task 13.\nHost 7 is interested in task 10.\nHost 5 is interested in task 10.\nHost 0 is interested in task 1.\nHost 12 is interested in task 14.\nHost 2 is interested in task 11.\nHost 11 is interested in task 10.\nHost 13 is interested in task 12.\nHost 1 is interested in task 13.\nHost 9 is interested in task 13.\nHost 4 is interested in task 2.\nHost 0 is interested in task 0.\nHost 11 is interested in task 0.\nHost 3 is interested in task 2.\nHost 9 is interested in task 14.\nHost 9 is interested in task 5.\nHost 6 is interested in task 14.\nHost 12 is interested in task 5.\nHost 4 is interested in task 3.\nHost 3 is interested in task 13.\nHost 3 is interested in task 14.\nHost 12 is interested in task 11.\nHost 9 is interested in task 3.\nHost 8 is interested in task 7.\nHost 9 is interested in task 1.\nHost 1 is interested in task 15.\nHost 10 is interested in task 4.\nHost 11 is interested in task 3.\nHost 4 is interested in task 13.\nHost 3 is interested in task 7.\nHost 13 is interested in task 4.\nHost 11 is interested in task 2.\nHost 13 is interested in task 15.\nHost 8 is interested in task 10.\nHost 0 is interested in task 5.\nHost 6 is interested in task 11.\nHost 11 is interested in task 4.\nHost 4 is interested in task 12.\nHost 4 is interested in task 1.\nHost 7 is interested in task 3.\nHost 13 is interested in task 9.\nHost 5 is interested in task 12.\nHost 3 is interested in task 6.\nHost 3 is interested in task 12.\nHost 3 is interested in task 1.\nHost 2 is interested in task 7.\nHost 4 is interested in task 7.\nHost 8 is interested in task 2.\nHost 7 is interested in task 2.\nHost 12 is interested in task 3.\nHost 2 is interested in task 1.\nHost 13 is interested in task 6.\nHost 2 is interested in task 8.\nHost 3 is interested in task 11.\nHost 7 is interested in task 1.\nHost 11 is interested in task 5.\nHost 5 is interested in task 7.\nHost 11 is interested in task 6.\nHost 9 is interested in task 7.\nHost 12 is interested in task 13.\nHost 1 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1047", "image": "data/matching/graph_visual/hard/graph1047.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 15.\nHost 2 is interested in task 16.\nHost 13 is interested in task 1.\nHost 0 is interested in task 8.\nHost 6 is interested in task 2.\nHost 0 is interested in task 7.\nHost 9 is interested in task 11.\nHost 1 is interested in task 13.\nHost 7 is interested in task 7.\nHost 11 is interested in task 14.\nHost 0 is interested in task 16.\nHost 3 is interested in task 5.\nHost 5 is interested in task 13.\nHost 5 is interested in task 14.\nHost 13 is interested in task 12.\nHost 4 is interested in task 16.\nHost 2 is interested in task 9.\nHost 4 is interested in task 5.\nHost 6 is interested in task 12.\nHost 10 is interested in task 5.\nHost 11 is interested in task 15.\nHost 13 is interested in task 9.\nHost 10 is interested in task 15.\nHost 0 is interested in task 2.\nHost 3 is interested in task 10.\nHost 11 is interested in task 6.\nHost 7 is interested in task 6.\nHost 4 is interested in task 4.\nHost 9 is interested in task 8.\nHost 3 is interested in task 13.\nHost 9 is interested in task 3.\nHost 12 is interested in task 2.\nHost 6 is interested in task 10.\nHost 4 is interested in task 3.\nHost 13 is interested in task 11.\nHost 5 is interested in task 1.\nHost 8 is interested in task 8.\nHost 4 is interested in task 0.\nHost 10 is interested in task 7.\nHost 6 is interested in task 15.\nHost 3 is interested in task 3.\nHost 0 is interested in task 9.\nHost 0 is interested in task 5.\nHost 12 is interested in task 14.\nHost 13 is interested in task 15.\nHost 3 is interested in task 9.\nHost 9 is interested in task 12.\nHost 13 is interested in task 10.\nHost 7 is interested in task 15.\nHost 13 is interested in task 4.\nHost 2 is interested in task 2.\nHost 8 is interested in task 4.\nHost 7 is interested in task 2.\nHost 7 is interested in task 8.\nHost 9 is interested in task 14.\nHost 7 is interested in task 4.\nHost 7 is interested in task 16.\nHost 5 is interested in task 8.\nHost 7 is interested in task 1.\nHost 11 is interested in task 10.\nHost 13 is interested in task 7.\nHost 3 is interested in task 7.\nHost 10 is interested in task 16.\nHost 6 is interested in task 0.\nHost 6 is interested in task 16.\nHost 8 is interested in task 7.\nHost 0 is interested in task 4.\nHost 2 is interested in task 8.\nHost 7 is interested in task 13.\nHost 9 is interested in task 2.\nHost 5 is interested in task 11.\nHost 12 is interested in task 7.\nHost 10 is interested in task 3.\nHost 1 is interested in task 9.\nHost 3 is interested in task 0.\nHost 10 is interested in task 10.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 9 is interested in task 5.\nHost 9 is interested in task 10.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 4 is interested in task 6.\nHost 11 is interested in task 11.\nHost 3 is interested in task 6.\nHost 7 is interested in task 0.\nHost 0 is interested in task 13.\nHost 1 is interested in task 4.\nHost 0 is interested in task 12.\nHost 8 is interested in task 12.\nHost 6 is interested in task 1.\nHost 2 is interested in task 13.\nHost 2 is interested in task 14.\nHost 4 is interested in task 2.\nHost 0 is interested in task 11.\nHost 2 is interested in task 1.\nHost 8 is interested in task 2.\nHost 6 is interested in task 7.\nHost 10 is interested in task 6.\nHost 4 is interested in task 15.\nHost 5 is interested in task 4.\nHost 8 is interested in task 13.\nHost 13 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph622", "image": "data/matching/graph_visual/hard/graph622.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 13.\nHost 5 is interested in task 9.\nHost 1 is interested in task 13.\nHost 3 is interested in task 1.\nHost 7 is interested in task 13.\nHost 1 is interested in task 7.\nHost 2 is interested in task 7.\nHost 3 is interested in task 9.\nHost 9 is interested in task 12.\nHost 4 is interested in task 8.\nHost 4 is interested in task 5.\nHost 5 is interested in task 13.\nHost 1 is interested in task 1.\nHost 9 is interested in task 10.\nHost 0 is interested in task 6.\nHost 11 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 8 is interested in task 8.\nHost 5 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 9.\nHost 3 is interested in task 13.\nHost 7 is interested in task 9.\nHost 5 is interested in task 0.\nHost 5 is interested in task 1.\nHost 6 is interested in task 5.\nHost 3 is interested in task 0.\nHost 8 is interested in task 6.\nHost 9 is interested in task 2.\nHost 0 is interested in task 8.\nHost 1 is interested in task 5.\nHost 6 is interested in task 12.\nHost 11 is interested in task 14.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 0 is interested in task 7.\nHost 2 is interested in task 12.\nHost 1 is interested in task 14.\nHost 11 is interested in task 9.\nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 12.\nHost 0 is interested in task 14.\nHost 8 is interested in task 9.\nHost 0 is interested in task 9.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 8.\nHost 5 is interested in task 14.\nHost 6 is interested in task 7.\nHost 9 is interested in task 4.\nHost 1 is interested in task 11.\nHost 11 is interested in task 8.\nHost 11 is interested in task 4.\nHost 10 is interested in task 4.\nHost 0 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 12.\nHost 1 is interested in task 10.\nHost 6 is interested in task 6.\nHost 8 is interested in task 0.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph265", "image": "data/matching/graph_visual/hard/graph265.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 9 is interested in task 8.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 0 is interested in task 5.\nHost 8 is interested in task 4.\nHost 0 is interested in task 8.\nHost 2 is interested in task 7.\nHost 2 is interested in task 8.\nHost 3 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 7.\nHost 4 is interested in task 4.\nHost 7 is interested in task 0.\nHost 7 is interested in task 7.\nHost 9 is interested in task 5.\nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 3.\nHost 5 is interested in task 4.\nHost 4 is interested in task 7.\nHost 8 is interested in task 1.\nHost 4 is interested in task 3.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 8.\nHost 10 is interested in task 6.\nHost 0 is interested in task 1.\nHost 10 is interested in task 5.\nHost 3 is interested in task 5.\nHost 6 is interested in task 4.\nHost 6 is interested in task 8.\nHost 6 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 3.\nHost 1 is interested in task 1.\nHost 6 is interested in task 5.\nHost 10 is interested in task 3.\nHost 2 is interested in task 5.\nHost 5 is interested in task 7.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph382", "image": "data/matching/graph_visual/hard/graph382.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 8 is interested in task 11.\nHost 8 is interested in task 1.\nHost 2 is interested in task 9.\nHost 7 is interested in task 6.\nHost 1 is interested in task 0.\nHost 4 is interested in task 8.\nHost 1 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 9.\nHost 9 is interested in task 10.\nHost 6 is interested in task 6.\nHost 6 is interested in task 10.\nHost 1 is interested in task 11.\nHost 8 is interested in task 12.\nHost 10 is interested in task 5.\nHost 3 is interested in task 11.\nHost 9 is interested in task 6.\nHost 8 is interested in task 7.\nHost 7 is interested in task 11.\nHost 10 is interested in task 7.\nHost 2 is interested in task 6.\nHost 2 is interested in task 10.\nHost 4 is interested in task 6.\nHost 3 is interested in task 0.\nHost 10 is interested in task 3.\nHost 4 is interested in task 0.\nHost 3 is interested in task 4.\nHost 9 is interested in task 2.\nHost 0 is interested in task 1.\nHost 5 is interested in task 0.\nHost 9 is interested in task 7.\nHost 2 is interested in task 0.\nHost 8 is interested in task 4.\nHost 10 is interested in task 12.\nHost 7 is interested in task 10.\nHost 3 is interested in task 2.\nHost 8 is interested in task 9.\nHost 2 is interested in task 3.\nHost 7 is interested in task 12.\nHost 4 is interested in task 11.\nHost 2 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 8.\nHost 1 is interested in task 5.\nHost 9 is interested in task 9.\nHost 4 is interested in task 2.\nHost 2 is interested in task 1.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 5 is interested in task 6.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph522", "image": "data/matching/graph_visual/hard/graph522.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 5 is interested in task 6.\nHost 11 is interested in task 10.\nHost 10 is interested in task 5.\nHost 6 is interested in task 7.\nHost 8 is interested in task 8.\nHost 9 is interested in task 5.\nHost 5 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 3.\nHost 9 is interested in task 1.\nHost 8 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 1.\nHost 10 is interested in task 11.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 8 is interested in task 5.\nHost 9 is interested in task 4.\nHost 4 is interested in task 11.\nHost 3 is interested in task 11.\nHost 4 is interested in task 2.\nHost 2 is interested in task 5.\nHost 1 is interested in task 5.\nHost 11 is interested in task 6.\nHost 1 is interested in task 11.\nHost 10 is interested in task 3.\nHost 4 is interested in task 9.\nHost 1 is interested in task 4.\nHost 9 is interested in task 6.\nHost 10 is interested in task 10.\nHost 8 is interested in task 2.\nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 3.\nHost 10 is interested in task 9.\nHost 2 is interested in task 7.\nHost 9 is interested in task 8.\nHost 8 is interested in task 10.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 8 is interested in task 3.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 2 is interested in task 8.\nHost 2 is interested in task 6.\nHost 10 is interested in task 4.\nHost 6 is interested in task 5.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 9 is interested in task 2.\nHost 0 is interested in task 4.\nHost 7 is interested in task 9.\nHost 9 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph106", "image": "data/matching/graph_visual/hard/graph106.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 7 is interested in task 7.\nHost 5 is interested in task 3.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 5.\nHost 6 is interested in task 9.\nHost 5 is interested in task 2.\nHost 5 is interested in task 4.\nHost 1 is interested in task 8.\nHost 4 is interested in task 7.\nHost 1 is interested in task 2.\nHost 6 is interested in task 6.\nHost 0 is interested in task 8.\nHost 4 is interested in task 6.\nHost 5 is interested in task 7.\nHost 4 is interested in task 5.\nHost 9 is interested in task 4.\nHost 4 is interested in task 9.\nHost 6 is interested in task 8.\nHost 7 is interested in task 4.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 8 is interested in task 9.\nHost 3 is interested in task 2.\nHost 9 is interested in task 3.\nHost 0 is interested in task 7.\nHost 9 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 9.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph359", "image": "data/matching/graph_visual/hard/graph359.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 0 is interested in task 11.\nHost 1 is interested in task 3.\nHost 6 is interested in task 6.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 10.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 10 is interested in task 7.\nHost 2 is interested in task 0.\nHost 8 is interested in task 8.\nHost 1 is interested in task 10.\nHost 10 is interested in task 9.\nHost 6 is interested in task 9.\nHost 0 is interested in task 3.\nHost 8 is interested in task 10.\nHost 10 is interested in task 10.\nHost 10 is interested in task 5.\nHost 4 is interested in task 2.\nHost 2 is interested in task 10.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 8 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 0.\nHost 0 is interested in task 5.\nHost 7 is interested in task 1.\nHost 5 is interested in task 8.\nHost 0 is interested in task 7.\nHost 7 is interested in task 0.\nHost 3 is interested in task 1.\nHost 9 is interested in task 7.\nHost 9 is interested in task 9.\nHost 8 is interested in task 3.\nHost 4 is interested in task 0.\nHost 2 is interested in task 7.\nHost 7 is interested in task 10.\nHost 8 is interested in task 5.\nHost 6 is interested in task 8.\nHost 6 is interested in task 5.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 3 is interested in task 3.\nHost 0 is interested in task 1.\nHost 4 is interested in task 9.\nHost 10 is interested in task 2.\nHost 2 is interested in task 2.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1182", "image": "data/matching/graph_visual/hard/graph1182.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 5 is interested in task 0.\nHost 0 is interested in task 9.\nHost 2 is interested in task 11.\nHost 12 is interested in task 0.\nHost 4 is interested in task 8.\nHost 13 is interested in task 2.\nHost 8 is interested in task 1.\nHost 6 is interested in task 2.\nHost 9 is interested in task 14.\nHost 10 is interested in task 10.\nHost 5 is interested in task 1.\nHost 12 is interested in task 10.\nHost 0 is interested in task 15.\nHost 12 is interested in task 15.\nHost 7 is interested in task 6.\nHost 10 is interested in task 15.\nHost 10 is interested in task 4.\nHost 4 is interested in task 2.\nHost 11 is interested in task 13.\nHost 11 is interested in task 14.\nHost 5 is interested in task 2.\nHost 10 is interested in task 12.\nHost 12 is interested in task 8.\nHost 12 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 8.\nHost 14 is interested in task 12.\nHost 14 is interested in task 4.\nHost 8 is interested in task 5.\nHost 14 is interested in task 5.\nHost 4 is interested in task 11.\nHost 8 is interested in task 3.\nHost 6 is interested in task 13.\nHost 10 is interested in task 5.\nHost 10 is interested in task 14.\nHost 6 is interested in task 4.\nHost 14 is interested in task 3.\nHost 4 is interested in task 6.\nHost 4 is interested in task 13.\nHost 6 is interested in task 3.\nHost 12 is interested in task 7.\nHost 7 is interested in task 11.\nHost 13 is interested in task 0.\nHost 9 is interested in task 2.\nHost 0 is interested in task 3.\nHost 5 is interested in task 9.\nHost 5 is interested in task 11.\nHost 8 is interested in task 7.\nHost 9 is interested in task 12.\nHost 11 is interested in task 12.\nHost 11 is interested in task 0.\nHost 6 is interested in task 9.\nHost 3 is interested in task 12.\nHost 7 is interested in task 1.\nHost 11 is interested in task 4.\nHost 3 is interested in task 7.\nHost 14 is interested in task 0.\nHost 0 is interested in task 6.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 6 is interested in task 14.\nHost 1 is interested in task 11.\nHost 12 is interested in task 6.\nHost 14 is interested in task 15.\nHost 3 is interested in task 13.\nHost 1 is interested in task 1.\nHost 10 is interested in task 9.\nHost 4 is interested in task 1.\nHost 6 is interested in task 0.\nHost 3 is interested in task 8.\nHost 12 is interested in task 11.\nHost 2 is interested in task 2.\nHost 14 is interested in task 14.\nHost 12 is interested in task 5.\nHost 2 is interested in task 0.\nHost 10 is interested in task 3.\nHost 4 is interested in task 10.\nHost 13 is interested in task 4.\nHost 0 is interested in task 10.\nHost 3 is interested in task 0.\nHost 0 is interested in task 14.\nHost 2 is interested in task 9.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph995", "image": "data/matching/graph_visual/hard/graph995.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 0 is interested in task 9.\nHost 2 is interested in task 11.\nHost 13 is interested in task 9.\nHost 9 is interested in task 1.\nHost 2 is interested in task 10.\nHost 9 is interested in task 6.\nHost 13 is interested in task 3.\nHost 13 is interested in task 15.\nHost 12 is interested in task 5.\nHost 6 is interested in task 9.\nHost 4 is interested in task 9.\nHost 2 is interested in task 1.\nHost 8 is interested in task 7.\nHost 4 is interested in task 1.\nHost 13 is interested in task 11.\nHost 0 is interested in task 11.\nHost 10 is interested in task 0.\nHost 3 is interested in task 10.\nHost 6 is interested in task 7.\nHost 9 is interested in task 11.\nHost 8 is interested in task 6.\nHost 11 is interested in task 8.\nHost 10 is interested in task 5.\nHost 7 is interested in task 0.\nHost 6 is interested in task 11.\nHost 1 is interested in task 0.\nHost 2 is interested in task 15.\nHost 13 is interested in task 14.\nHost 0 is interested in task 5.\nHost 1 is interested in task 9.\nHost 1 is interested in task 4.\nHost 3 is interested in task 15.\nHost 5 is interested in task 7.\nHost 13 is interested in task 8.\nHost 10 is interested in task 10.\nHost 13 is interested in task 13.\nHost 7 is interested in task 11.\nHost 11 is interested in task 15.\nHost 0 is interested in task 13.\nHost 11 is interested in task 10.\nHost 4 is interested in task 4.\nHost 1 is interested in task 7.\nHost 4 is interested in task 15.\nHost 3 is interested in task 11.\nHost 4 is interested in task 11.\nHost 8 is interested in task 14.\nHost 2 is interested in task 6.\nHost 0 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 8.\nHost 0 is interested in task 15.\nHost 12 is interested in task 2.\nHost 11 is interested in task 2.\nHost 4 is interested in task 5.\nHost 13 is interested in task 4.\nHost 6 is interested in task 13.\nHost 1 is interested in task 8.\nHost 10 is interested in task 8.\nHost 6 is interested in task 4.\nHost 1 is interested in task 12.\nHost 10 is interested in task 7.\nHost 10 is interested in task 3.\nHost 13 is interested in task 6.\nHost 10 is interested in task 11.\nHost 2 is interested in task 12.\nHost 12 is interested in task 13.\nHost 4 is interested in task 7.\nHost 7 is interested in task 8.\nHost 12 is interested in task 14.\nHost 7 is interested in task 9.\nHost 5 is interested in task 14.\nHost 10 is interested in task 15.\nHost 10 is interested in task 2.\nHost 12 is interested in task 10.\nHost 4 is interested in task 2.\nHost 13 is interested in task 10.\nHost 11 is interested in task 12.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 3 is interested in task 1.\nHost 0 is interested in task 12.\nHost 1 is interested in task 15.\nHost 9 is interested in task 13.\nHost 8 is interested in task 15.\nHost 2 is interested in task 8.\nHost 12 is interested in task 12.\nHost 12 is interested in task 3.\nHost 13 is interested in task 5.\nHost 12 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph483", "image": "data/matching/graph_visual/hard/graph483.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 9.\nHost 7 is interested in task 2.\nHost 4 is interested in task 4.\nHost 4 is interested in task 7.\nHost 11 is interested in task 4.\nHost 10 is interested in task 4.\nHost 10 is interested in task 2.\nHost 3 is interested in task 8.\nHost 7 is interested in task 8.\nHost 4 is interested in task 0.\nHost 10 is interested in task 6.\nHost 11 is interested in task 5.\nHost 0 is interested in task 7.\nHost 10 is interested in task 8.\nHost 5 is interested in task 8.\nHost 11 is interested in task 6.\nHost 0 is interested in task 3.\nHost 2 is interested in task 10.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 6 is interested in task 3.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 6 is interested in task 9.\nHost 8 is interested in task 10.\nHost 11 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 5.\nHost 9 is interested in task 5.\nHost 10 is interested in task 9.\nHost 9 is interested in task 3.\nHost 3 is interested in task 5.\nHost 10 is interested in task 1.\nHost 5 is interested in task 10.\nHost 5 is interested in task 7.\nHost 7 is interested in task 9.\nHost 7 is interested in task 6.\nHost 10 is interested in task 5.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1074", "image": "data/matching/graph_visual/hard/graph1074.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 7 is interested in task 10.\nHost 10 is interested in task 10.\nHost 8 is interested in task 3.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 14 is interested in task 4.\nHost 7 is interested in task 9.\nHost 2 is interested in task 6.\nHost 12 is interested in task 8.\nHost 5 is interested in task 3.\nHost 11 is interested in task 7.\nHost 6 is interested in task 1.\nHost 1 is interested in task 4.\nHost 8 is interested in task 11.\nHost 13 is interested in task 0.\nHost 8 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 14 is interested in task 5.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 11 is interested in task 6.\nHost 5 is interested in task 5.\nHost 8 is interested in task 7.\nHost 2 is interested in task 7.\nHost 3 is interested in task 4.\nHost 3 is interested in task 10.\nHost 2 is interested in task 11.\nHost 2 is interested in task 8.\nHost 7 is interested in task 7.\nHost 8 is interested in task 0.\nHost 13 is interested in task 8.\nHost 6 is interested in task 5.\nHost 10 is interested in task 1.\nHost 12 is interested in task 4.\nHost 1 is interested in task 8.\nHost 4 is interested in task 6.\nHost 2 is interested in task 1.\nHost 6 is interested in task 8.\nHost 7 is interested in task 5.\nHost 0 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 11.\nHost 6 is interested in task 11.\nHost 12 is interested in task 6.\nHost 11 is interested in task 4.\nHost 6 is interested in task 9.\nHost 10 is interested in task 8.\nHost 1 is interested in task 9.\nHost 0 is interested in task 10.\nHost 0 is interested in task 1.\nHost 11 is interested in task 11.\nHost 14 is interested in task 3.\nHost 12 is interested in task 9.\nHost 7 is interested in task 11.\nHost 2 is interested in task 0.\nHost 9 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1177", "image": "data/matching/graph_visual/hard/graph1177.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 9.\nHost 3 is interested in task 15.\nHost 9 is interested in task 8.\nHost 0 is interested in task 0.\nHost 11 is interested in task 0.\nHost 1 is interested in task 13.\nHost 3 is interested in task 1.\nHost 7 is interested in task 5.\nHost 2 is interested in task 0.\nHost 9 is interested in task 6.\nHost 1 is interested in task 9.\nHost 14 is interested in task 3.\nHost 3 is interested in task 4.\nHost 12 is interested in task 7.\nHost 5 is interested in task 3.\nHost 10 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 8.\nHost 6 is interested in task 5.\nHost 10 is interested in task 2.\nHost 0 is interested in task 13.\nHost 4 is interested in task 11.\nHost 10 is interested in task 1.\nHost 12 is interested in task 0.\nHost 11 is interested in task 5.\nHost 5 is interested in task 10.\nHost 12 is interested in task 15.\nHost 14 is interested in task 8.\nHost 1 is interested in task 4.\nHost 1 is interested in task 3.\nHost 9 is interested in task 5.\nHost 4 is interested in task 9.\nHost 12 is interested in task 2.\nHost 6 is interested in task 15.\nHost 8 is interested in task 9.\nHost 11 is interested in task 15.\nHost 5 is interested in task 0.\nHost 4 is interested in task 8.\nHost 13 is interested in task 14.\nHost 7 is interested in task 9.\nHost 2 is interested in task 11.\nHost 5 is interested in task 9.\nHost 10 is interested in task 7.\nHost 8 is interested in task 3.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 14.\nHost 0 is interested in task 4.\nHost 5 is interested in task 4.\nHost 6 is interested in task 9.\nHost 1 is interested in task 0.\nHost 11 is interested in task 6.\nHost 3 is interested in task 12.\nHost 12 is interested in task 12.\nHost 3 is interested in task 6.\nHost 5 is interested in task 12.\nHost 10 is interested in task 10.\nHost 13 is interested in task 9.\nHost 6 is interested in task 3.\nHost 1 is interested in task 5.\nHost 13 is interested in task 15.\nHost 0 is interested in task 3.\nHost 7 is interested in task 3.\nHost 12 is interested in task 6.\nHost 13 is interested in task 4.\nHost 14 is interested in task 5.\nHost 4 is interested in task 0.\nHost 8 is interested in task 6.\nHost 5 is interested in task 6.\nHost 11 is interested in task 12.\nHost 12 is interested in task 3.\nHost 6 is interested in task 8.\nHost 9 is interested in task 0.\nHost 6 is interested in task 2.\nHost 13 is interested in task 7.\nHost 13 is interested in task 2.\nHost 10 is interested in task 3.\nHost 4 is interested in task 4.\nHost 8 is interested in task 14.\nHost 12 is interested in task 11.\nHost 6 is interested in task 10.\nHost 12 is interested in task 5.\nHost 3 is interested in task 13.\nHost 6 is interested in task 12.\nHost 7 is interested in task 12.\nHost 12 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph259", "image": "data/matching/graph_visual/hard/graph259.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 1 is interested in task 5.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 6 is interested in task 5.\nHost 3 is interested in task 8.\nHost 6 is interested in task 1.\nHost 7 is interested in task 5.\nHost 7 is interested in task 4.\nHost 9 is interested in task 8.\nHost 3 is interested in task 3.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 3.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7.\nHost 2 is interested in task 5.\nHost 7 is interested in task 3.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 7 is interested in task 8.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 5 is interested in task 6.\nHost 10 is interested in task 5.\nHost 8 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 6.\nHost 8 is interested in task 0.\nHost 8 is interested in task 1.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 4 is interested in task 2.\nHost 3 is interested in task 1.\nHost 1 is interested in task 8.\nHost 3 is interested in task 4.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 10 is interested in task 0.\nHost 2 is interested in task 6.\nHost 2 is interested in task 1.\nHost 5 is interested in task 4.\nHost 0 is interested in task 7.\nHost 0 is interested in task 8.\nHost 8 is interested in task 8.\nHost 5 is interested in task 3.\nHost 5 is interested in task 8.\nHost 10 is interested in task 2.\nHost 0 is interested in task 1.\nHost 7 is interested in task 2.\nHost 7 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph992", "image": "data/matching/graph_visual/hard/graph992.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 3 is interested in task 10.\nHost 9 is interested in task 12.\nHost 7 is interested in task 0.\nHost 6 is interested in task 7.\nHost 11 is interested in task 11.\nHost 3 is interested in task 14.\nHost 2 is interested in task 8.\nHost 3 is interested in task 2.\nHost 0 is interested in task 13.\nHost 7 is interested in task 7.\nHost 0 is interested in task 1.\nHost 0 is interested in task 12.\nHost 1 is interested in task 0.\nHost 5 is interested in task 15.\nHost 3 is interested in task 13.\nHost 1 is interested in task 5.\nHost 10 is interested in task 0.\nHost 9 is interested in task 6.\nHost 0 is interested in task 4.\nHost 4 is interested in task 13.\nHost 1 is interested in task 8.\nHost 1 is interested in task 12.\nHost 13 is interested in task 11.\nHost 4 is interested in task 5.\nHost 6 is interested in task 3.\nHost 4 is interested in task 11.\nHost 9 is interested in task 15.\nHost 0 is interested in task 10.\nHost 7 is interested in task 10.\nHost 12 is interested in task 7.\nHost 12 is interested in task 14.\nHost 8 is interested in task 14.\nHost 13 is interested in task 7.\nHost 4 is interested in task 8.\nHost 4 is interested in task 9.\nHost 2 is interested in task 5.\nHost 13 is interested in task 8.\nHost 3 is interested in task 3.\nHost 13 is interested in task 10.\nHost 5 is interested in task 12.\nHost 7 is interested in task 13.\nHost 0 is interested in task 9.\nHost 4 is interested in task 14.\nHost 9 is interested in task 0.\nHost 3 is interested in task 1.\nHost 11 is interested in task 3.\nHost 10 is interested in task 13.\nHost 4 is interested in task 15.\nHost 6 is interested in task 10.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 13 is interested in task 12.\nHost 1 is interested in task 13.\nHost 0 is interested in task 2.\nHost 8 is interested in task 8.\nHost 3 is interested in task 9.\nHost 12 is interested in task 15.\nHost 0 is interested in task 7.\nHost 9 is interested in task 7.\nHost 12 is interested in task 5.\nHost 8 is interested in task 11.\nHost 3 is interested in task 5.\nHost 1 is interested in task 7.\nHost 2 is interested in task 13.\nHost 11 is interested in task 2.\nHost 12 is interested in task 1.\nHost 1 is interested in task 15.\nHost 1 is interested in task 11.\nHost 8 is interested in task 5.\nHost 8 is interested in task 7.\nHost 3 is interested in task 4.\nHost 6 is interested in task 2.\nHost 7 is interested in task 3.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph94", "image": "data/matching/graph_visual/hard/graph94.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 2 is interested in task 9.\nHost 9 is interested in task 5.\nHost 6 is interested in task 4.\nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 3.\nHost 3 is interested in task 2.\nHost 9 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 6.\nHost 7 is interested in task 3.\nHost 6 is interested in task 5.\nHost 3 is interested in task 0.\nHost 8 is interested in task 1.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 8 is interested in task 5.\nHost 4 is interested in task 8.\nHost 1 is interested in task 6.\nHost 8 is interested in task 8.\nHost 3 is interested in task 7.\nHost 6 is interested in task 3.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 5 is interested in task 6.\nHost 6 is interested in task 0.\nHost 9 is interested in task 4.\nHost 9 is interested in task 0.\nHost 8 is interested in task 0.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph488", "image": "data/matching/graph_visual/hard/graph488.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 9.\nHost 0 is interested in task 3.\nHost 6 is interested in task 9.\nHost 10 is interested in task 4.\nHost 6 is interested in task 4.\nHost 2 is interested in task 10.\nHost 6 is interested in task 2.\nHost 9 is interested in task 4.\nHost 9 is interested in task 8.\nHost 9 is interested in task 5.\nHost 11 is interested in task 2.\nHost 5 is interested in task 6.\nHost 1 is interested in task 8.\nHost 11 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 1.\nHost 0 is interested in task 10.\nHost 11 is interested in task 0.\nHost 1 is interested in task 9.\nHost 8 is interested in task 6.\nHost 1 is interested in task 5.\nHost 8 is interested in task 8.\nHost 3 is interested in task 4.\nHost 6 is interested in task 8.\nHost 9 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 8 is interested in task 0.\nHost 4 is interested in task 6.\nHost 10 is interested in task 10.\nHost 8 is interested in task 9.\nHost 5 is interested in task 8.\nHost 11 is interested in task 6.\nHost 2 is interested in task 1.\nHost 7 is interested in task 0.\nHost 0 is interested in task 9.\nHost 9 is interested in task 3.\nHost 6 is interested in task 7.\nHost 5 is interested in task 9.\nHost 3 is interested in task 6.\nHost 9 is interested in task 1.\nHost 0 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 8.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 7 is interested in task 2.\nHost 7 is interested in task 8.\nHost 5 is interested in task 0.\nHost 4 is interested in task 7.\nHost 6 is interested in task 10.\nHost 9 is interested in task 2.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 10.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 8.\nHost 1 is interested in task 2.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph586", "image": "data/matching/graph_visual/hard/graph586.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 4 is interested in task 6.\nHost 0 is interested in task 7.\nHost 10 is interested in task 4.\nHost 1 is interested in task 5.\nHost 2 is interested in task 13.\nHost 8 is interested in task 6.\nHost 4 is interested in task 1.\nHost 4 is interested in task 9.\nHost 7 is interested in task 11.\nHost 10 is interested in task 11.\nHost 2 is interested in task 12.\nHost 4 is interested in task 0.\nHost 0 is interested in task 12.\nHost 11 is interested in task 4.\nHost 0 is interested in task 3.\nHost 0 is interested in task 8.\nHost 10 is interested in task 10.\nHost 3 is interested in task 12.\nHost 10 is interested in task 5.\nHost 0 is interested in task 4.\nHost 3 is interested in task 8.\nHost 7 is interested in task 2.\nHost 1 is interested in task 0.\nHost 11 is interested in task 10.\nHost 1 is interested in task 8.\nHost 8 is interested in task 10.\nHost 8 is interested in task 5.\nHost 3 is interested in task 3.\nHost 0 is interested in task 13.\nHost 10 is interested in task 6.\nHost 6 is interested in task 4.\nHost 6 is interested in task 3.\nHost 2 is interested in task 8.\nHost 4 is interested in task 2.\nHost 10 is interested in task 7.\nHost 11 is interested in task 2.\nHost 3 is interested in task 7.\nHost 3 is interested in task 1.\nHost 2 is interested in task 11.\nHost 8 is interested in task 12.\nHost 11 is interested in task 9.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 11 is interested in task 12.\nHost 8 is interested in task 2.\nHost 3 is interested in task 10.\nHost 11 is interested in task 3.\nHost 5 is interested in task 10.\nHost 8 is interested in task 8.\nHost 0 is interested in task 2.\nHost 2 is interested in task 2.\nHost 11 is interested in task 11.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph47", "image": "data/matching/graph_visual/hard/graph47.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 5.\nHost 8 is interested in task 6.\nHost 2 is interested in task 2.\nHost 7 is interested in task 3.\nHost 8 is interested in task 4.\nHost 2 is interested in task 5.\nHost 7 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 5 is interested in task 7.\nHost 7 is interested in task 1.\nHost 9 is interested in task 7.\nHost 0 is interested in task 0.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 5 is interested in task 6.\nHost 6 is interested in task 5.\nHost 2 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 5.\nHost 9 is interested in task 1.\nHost 9 is interested in task 4.\nHost 6 is interested in task 6.\nHost 4 is interested in task 0.\nHost 6 is interested in task 2.\nHost 5 is interested in task 2.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 9 is interested in task 2.\nHost 9 is interested in task 3.\nHost 6 is interested in task 4.\nHost 3 is interested in task 7.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1049", "image": "data/matching/graph_visual/hard/graph1049.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 3.\nHost 5 is interested in task 2.\nHost 5 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 15.\nHost 2 is interested in task 9.\nHost 8 is interested in task 7.\nHost 12 is interested in task 16.\nHost 11 is interested in task 14.\nHost 1 is interested in task 13.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 13 is interested in task 2.\nHost 12 is interested in task 10.\nHost 1 is interested in task 11.\nHost 6 is interested in task 6.\nHost 6 is interested in task 12.\nHost 3 is interested in task 12.\nHost 1 is interested in task 0.\nHost 8 is interested in task 9.\nHost 7 is interested in task 15.\nHost 2 is interested in task 11.\nHost 1 is interested in task 2.\nHost 7 is interested in task 4.\nHost 7 is interested in task 11.\nHost 1 is interested in task 5.\nHost 9 is interested in task 2.\nHost 9 is interested in task 4.\nHost 2 is interested in task 13.\nHost 6 is interested in task 11.\nHost 3 is interested in task 1.\nHost 10 is interested in task 5.\nHost 1 is interested in task 15.\nHost 12 is interested in task 3.\nHost 0 is interested in task 8.\nHost 2 is interested in task 5.\nHost 3 is interested in task 9.\nHost 7 is interested in task 9.\nHost 12 is interested in task 15.\nHost 1 is interested in task 6.\nHost 9 is interested in task 13.\nHost 8 is interested in task 13.\nHost 13 is interested in task 13.\nHost 8 is interested in task 6.\nHost 0 is interested in task 5.\nHost 7 is interested in task 13.\nHost 3 is interested in task 6.\nHost 9 is interested in task 5.\nHost 8 is interested in task 12.\nHost 1 is interested in task 14.\nHost 4 is interested in task 3.\nHost 2 is interested in task 14.\nHost 12 is interested in task 2.\nHost 10 is interested in task 8.\nHost 8 is interested in task 10.\nHost 8 is interested in task 5.\nHost 7 is interested in task 3.\nHost 1 is interested in task 7.\nHost 4 is interested in task 9.\nHost 3 is interested in task 0.\nHost 12 is interested in task 6.\nHost 7 is interested in task 1.\nHost 12 is interested in task 0.\nHost 10 is interested in task 3.\nHost 1 is interested in task 10.\nHost 0 is interested in task 6.\nHost 5 is interested in task 16.\nHost 4 is interested in task 13.\nHost 8 is interested in task 2.\nHost 2 is interested in task 15.\nHost 10 is interested in task 13.\nHost 12 is interested in task 5.\nHost 1 is interested in task 3.\nHost 13 is interested in task 5.\nHost 7 is interested in task 12.\nHost 3 is interested in task 10.\nHost 12 is interested in task 7.\nHost 1 is interested in task 16.\nHost 3 is interested in task 3.\nHost 12 is interested in task 12.\nHost 0 is interested in task 9.\nHost 3 is interested in task 7.\nHost 7 is interested in task 10.\nHost 3 is interested in task 15.\nHost 10 is interested in task 10.\nHost 13 is interested in task 6.\nHost 8 is interested in task 8.\nHost 2 is interested in task 0.\nHost 10 is interested in task 11.\nHost 10 is interested in task 14.\nHost 13 is interested in task 7.\nHost 11 is interested in task 0.\nHost 0 is interested in task 15.\nHost 4 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 1.\nHost 12 is interested in task 11.\nHost 0 is interested in task 13.\nHost 3 is interested in task 16.\nHost 11 is interested in task 7.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph387", "image": "data/matching/graph_visual/hard/graph387.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 10 is interested in task 8.\nHost 10 is interested in task 5.\nHost 3 is interested in task 12.\nHost 8 is interested in task 6.\nHost 1 is interested in task 7.\nHost 7 is interested in task 12.\nHost 9 is interested in task 1.\nHost 7 is interested in task 2.\nHost 10 is interested in task 12.\nHost 10 is interested in task 10.\nHost 4 is interested in task 1.\nHost 4 is interested in task 12.\nHost 0 is interested in task 1.\nHost 3 is interested in task 5.\nHost 5 is interested in task 1.\nHost 8 is interested in task 11.\nHost 4 is interested in task 2.\nHost 1 is interested in task 10.\nHost 10 is interested in task 4.\nHost 0 is interested in task 9.\nHost 1 is interested in task 3.\nHost 8 is interested in task 2.\nHost 2 is interested in task 9.\nHost 8 is interested in task 7.\nHost 6 is interested in task 10.\nHost 6 is interested in task 7.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 8 is interested in task 12.\nHost 10 is interested in task 9.\nHost 3 is interested in task 9.\nHost 2 is interested in task 6.\nHost 2 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 2 is interested in task 11.\nHost 9 is interested in task 2.\nHost 10 is interested in task 2.\nHost 5 is interested in task 0.\nHost 7 is interested in task 10.\nHost 3 is interested in task 1.\nHost 7 is interested in task 11.\nHost 4 is interested in task 7.\nHost 0 is interested in task 11.\nHost 3 is interested in task 6.\nHost 6 is interested in task 5.\nHost 8 is interested in task 10.\nHost 4 is interested in task 10.\nHost 9 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 8.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 10 is interested in task 6.\nHost 7 is interested in task 8.\nHost 8 is interested in task 1.\nHost 5 is interested in task 4.\nHost 5 is interested in task 3.\nHost 8 is interested in task 8.\nHost 4 is interested in task 3.\nHost 1 is interested in task 9.\nHost 1 is interested in task 12.\nHost 2 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 4.\nHost 9 is interested in task 9.\nHost 10 is interested in task 0.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph48", "image": "data/matching/graph_visual/hard/graph48.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 8 is interested in task 5.\nHost 3 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 7.\nHost 9 is interested in task 0.\nHost 0 is interested in task 6.\nHost 9 is interested in task 2.\nHost 1 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5.\nHost 9 is interested in task 3.\nHost 9 is interested in task 4.\nHost 2 is interested in task 0.\nHost 8 is interested in task 2.\nHost 3 is interested in task 3.\nHost 8 is interested in task 7.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 8 is interested in task 3.\nHost 2 is interested in task 6.\nHost 0 is interested in task 1.\nHost 6 is interested in task 4.\nHost 5 is interested in task 3.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 6.\nHost 0 is interested in task 4.\nHost 9 is interested in task 5.\nHost 7 is interested in task 3.\nHost 6 is interested in task 6.\nHost 8 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 6 is interested in task 2.\nHost 9 is interested in task 6.\nHost 9 is interested in task 1.\nHost 5 is interested in task 7.\nHost 1 is interested in task 1.\nHost 3 is interested in task 7.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1105", "image": "data/matching/graph_visual/hard/graph1105.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 2.\nHost 6 is interested in task 6.\nHost 3 is interested in task 12.\nHost 14 is interested in task 12.\nHost 7 is interested in task 4.\nHost 3 is interested in task 11.\nHost 3 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 6 is interested in task 9.\nHost 12 is interested in task 5.\nHost 3 is interested in task 0.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 4 is interested in task 9.\nHost 3 is interested in task 9.\nHost 6 is interested in task 11.\nHost 14 is interested in task 5.\nHost 4 is interested in task 2.\nHost 8 is interested in task 10.\nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 3 is interested in task 2.\nHost 10 is interested in task 1.\nHost 7 is interested in task 6.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 12 is interested in task 10.\nHost 3 is interested in task 8.\nHost 6 is interested in task 5.\nHost 8 is interested in task 4.\nHost 10 is interested in task 2.\nHost 11 is interested in task 12.\nHost 14 is interested in task 10.\nHost 4 is interested in task 5.\nHost 4 is interested in task 11.\nHost 8 is interested in task 6.\nHost 8 is interested in task 3.\nHost 8 is interested in task 0.\nHost 8 is interested in task 8.\nHost 10 is interested in task 6.\nHost 3 is interested in task 4.\nHost 8 is interested in task 7.\nHost 13 is interested in task 10.\nHost 13 is interested in task 0.\nHost 7 is interested in task 2.\nHost 11 is interested in task 4.\nHost 11 is interested in task 5.\nHost 2 is interested in task 5.\nHost 11 is interested in task 2.\nHost 10 is interested in task 12.\nHost 2 is interested in task 12.\nHost 2 is interested in task 6.\nHost 6 is interested in task 10.\nHost 14 is interested in task 3.\nHost 6 is interested in task 7.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 11 is interested in task 8.\nHost 13 is interested in task 5.\nHost 0 is interested in task 4.\nHost 12 is interested in task 7.\nHost 11 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph738", "image": "data/matching/graph_visual/hard/graph738.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 5.\nHost 7 is interested in task 7.\nHost 10 is interested in task 0.\nHost 7 is interested in task 10.\nHost 5 is interested in task 11.\nHost 5 is interested in task 10.\nHost 12 is interested in task 2.\nHost 7 is interested in task 12.\nHost 4 is interested in task 12.\nHost 2 is interested in task 8.\nHost 2 is interested in task 9.\nHost 12 is interested in task 5.\nHost 12 is interested in task 7.\nHost 7 is interested in task 3.\nHost 0 is interested in task 12.\nHost 8 is interested in task 9.\nHost 2 is interested in task 11.\nHost 3 is interested in task 3.\nHost 6 is interested in task 5.\nHost 1 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 11.\nHost 2 is interested in task 12.\nHost 10 is interested in task 7.\nHost 3 is interested in task 1.\nHost 6 is interested in task 9.\nHost 5 is interested in task 4.\nHost 10 is interested in task 11.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 3 is interested in task 12.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 4 is interested in task 4.\nHost 8 is interested in task 1.\nHost 11 is interested in task 6.\nHost 0 is interested in task 3.\nHost 3 is interested in task 4.\nHost 1 is interested in task 8.\nHost 11 is interested in task 10.\nHost 3 is interested in task 2.\nHost 1 is interested in task 7.\nHost 7 is interested in task 8.\nHost 12 is interested in task 8.\nHost 3 is interested in task 11.\nHost 10 is interested in task 3.\nHost 9 is interested in task 7.\nHost 2 is interested in task 3.\nHost 7 is interested in task 6.\nHost 10 is interested in task 5.\nHost 12 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 6.\nHost 6 is interested in task 12.\nHost 5 is interested in task 8.\nHost 0 is interested in task 6.\nHost 5 is interested in task 3.\nHost 4 is interested in task 11.\nHost 2 is interested in task 2.\nHost 12 is interested in task 0.\nHost 0 is interested in task 8.\nHost 3 is interested in task 8.\nHost 2 is interested in task 5.\nHost 0 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1077", "image": "data/matching/graph_visual/hard/graph1077.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 0.\nHost 5 is interested in task 9.\nHost 10 is interested in task 2.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 0 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 11.\nHost 11 is interested in task 0.\nHost 4 is interested in task 10.\nHost 4 is interested in task 4.\nHost 8 is interested in task 9.\nHost 2 is interested in task 4.\nHost 9 is interested in task 9.\nHost 5 is interested in task 4.\nHost 14 is interested in task 0.\nHost 1 is interested in task 9.\nHost 10 is interested in task 10.\nHost 9 is interested in task 8.\nHost 11 is interested in task 8.\nHost 10 is interested in task 4.\nHost 4 is interested in task 3.\nHost 9 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 11.\nHost 12 is interested in task 1.\nHost 11 is interested in task 1.\nHost 1 is interested in task 5.\nHost 12 is interested in task 2.\nHost 2 is interested in task 5.\nHost 10 is interested in task 11.\nHost 1 is interested in task 7.\nHost 12 is interested in task 11.\nHost 2 is interested in task 0.\nHost 9 is interested in task 11.\nHost 7 is interested in task 8.\nHost 3 is interested in task 11.\nHost 11 is interested in task 2.\nHost 11 is interested in task 3.\nHost 11 is interested in task 9.\nHost 13 is interested in task 8.\nHost 9 is interested in task 10.\nHost 8 is interested in task 11.\nHost 2 is interested in task 10.\nHost 9 is interested in task 7.\nHost 5 is interested in task 11.\nHost 3 is interested in task 0.\nHost 7 is interested in task 1.\nHost 0 is interested in task 10.\nHost 5 is interested in task 2.\nHost 10 is interested in task 9.\nHost 8 is interested in task 3.\nHost 4 is interested in task 8.\nHost 5 is interested in task 6.\nHost 8 is interested in task 10.\nHost 10 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 11.\nHost 8 is interested in task 0.\nHost 5 is interested in task 1.\nHost 5 is interested in task 0.\nHost 9 is interested in task 2.\nHost 11 is interested in task 5.\nHost 1 is interested in task 6.\nHost 12 is interested in task 10.\nHost 10 is interested in task 3.\nHost 3 is interested in task 6.\nHost 4 is interested in task 7.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph923", "image": "data/matching/graph_visual/hard/graph923.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 10 is interested in task 0.\nHost 6 is interested in task 6.\nHost 12 is interested in task 12.\nHost 8 is interested in task 0.\nHost 1 is interested in task 5.\nHost 1 is interested in task 9.\nHost 10 is interested in task 2.\nHost 7 is interested in task 11.\nHost 13 is interested in task 12.\nHost 0 is interested in task 4.\nHost 1 is interested in task 11.\nHost 10 is interested in task 4.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 7 is interested in task 9.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 13 is interested in task 3.\nHost 2 is interested in task 8.\nHost 4 is interested in task 12.\nHost 13 is interested in task 10.\nHost 0 is interested in task 5.\nHost 10 is interested in task 5.\nHost 13 is interested in task 6.\nHost 10 is interested in task 3.\nHost 11 is interested in task 0.\nHost 8 is interested in task 2.\nHost 13 is interested in task 11.\nHost 9 is interested in task 4.\nHost 1 is interested in task 7.\nHost 9 is interested in task 5.\nHost 12 is interested in task 6.\nHost 10 is interested in task 10.\nHost 10 is interested in task 12.\nHost 8 is interested in task 12.\nHost 2 is interested in task 3.\nHost 12 is interested in task 3.\nHost 12 is interested in task 1.\nHost 12 is interested in task 9.\nHost 3 is interested in task 2.\nHost 9 is interested in task 8.\nHost 10 is interested in task 6.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 10 is interested in task 9.\nHost 11 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 10.\nHost 11 is interested in task 2.\nHost 7 is interested in task 8.\nHost 5 is interested in task 4.\nHost 1 is interested in task 6.\nHost 1 is interested in task 10.\nHost 2 is interested in task 6.\nHost 10 is interested in task 7.\nHost 1 is interested in task 2.\nHost 2 is interested in task 11.\nHost 6 is interested in task 8.\nHost 0 is interested in task 9.\nHost 6 is interested in task 5.\nHost 12 is interested in task 4.\nHost 6 is interested in task 4.\nHost 5 is interested in task 10.\nHost 11 is interested in task 10.\nHost 3 is interested in task 10.\nHost 4 is interested in task 5.\nHost 13 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph767", "image": "data/matching/graph_visual/hard/graph767.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 7 is interested in task 8.\nHost 4 is interested in task 4.\nHost 4 is interested in task 8.\nHost 2 is interested in task 6.\nHost 0 is interested in task 8.\nHost 0 is interested in task 4.\nHost 4 is interested in task 3.\nHost 12 is interested in task 9.\nHost 1 is interested in task 9.\nHost 5 is interested in task 1.\nHost 12 is interested in task 7.\nHost 2 is interested in task 13.\nHost 9 is interested in task 11.\nHost 12 is interested in task 6.\nHost 2 is interested in task 12.\nHost 9 is interested in task 10.\nHost 0 is interested in task 9.\nHost 12 is interested in task 12.\nHost 9 is interested in task 3.\nHost 9 is interested in task 0.\nHost 11 is interested in task 13.\nHost 6 is interested in task 10.\nHost 8 is interested in task 0.\nHost 6 is interested in task 0.\nHost 4 is interested in task 11.\nHost 3 is interested in task 11.\nHost 1 is interested in task 8.\nHost 4 is interested in task 6.\nHost 8 is interested in task 11.\nHost 1 is interested in task 0.\nHost 10 is interested in task 5.\nHost 7 is interested in task 13.\nHost 9 is interested in task 5.\nHost 9 is interested in task 8.\nHost 1 is interested in task 1.\nHost 0 is interested in task 11.\nHost 7 is interested in task 9.\nHost 10 is interested in task 10.\nHost 1 is interested in task 5.\nHost 5 is interested in task 5.\nHost 11 is interested in task 10.\nHost 11 is interested in task 11.\nHost 3 is interested in task 8.\nHost 11 is interested in task 7.\nHost 9 is interested in task 13.\nHost 7 is interested in task 2.\nHost 2 is interested in task 10.\nHost 12 is interested in task 11.\nHost 9 is interested in task 6.\nHost 7 is interested in task 12.\nHost 4 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 3.\nHost 6 is interested in task 11.\nHost 8 is interested in task 1.\nHost 1 is interested in task 4.\nHost 7 is interested in task 4.\nHost 1 is interested in task 10.\nHost 12 is interested in task 4.\nHost 5 is interested in task 0.\nHost 0 is interested in task 5.\nHost 6 is interested in task 7.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 4 is interested in task 0.\nHost 7 is interested in task 10.\nHost 2 is interested in task 1.\nHost 6 is interested in task 9.\nHost 1 is interested in task 3.\nHost 6 is interested in task 1.\nHost 5 is interested in task 6.\nHost 11 is interested in task 4.\nHost 9 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1066", "image": "data/matching/graph_visual/hard/graph1066.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 8.\nHost 10 is interested in task 9.\nHost 6 is interested in task 1.\nHost 14 is interested in task 10.\nHost 8 is interested in task 8.\nHost 8 is interested in task 4.\nHost 8 is interested in task 0.\nHost 3 is interested in task 11.\nHost 1 is interested in task 7.\nHost 3 is interested in task 2.\nHost 11 is interested in task 4.\nHost 4 is interested in task 7.\nHost 5 is interested in task 10.\nHost 14 is interested in task 5.\nHost 6 is interested in task 10.\nHost 1 is interested in task 6.\nHost 12 is interested in task 7.\nHost 0 is interested in task 10.\nHost 3 is interested in task 10.\nHost 7 is interested in task 2.\nHost 3 is interested in task 1.\nHost 8 is interested in task 6.\nHost 0 is interested in task 4.\nHost 13 is interested in task 11.\nHost 12 is interested in task 1.\nHost 5 is interested in task 6.\nHost 14 is interested in task 8.\nHost 11 is interested in task 7.\nHost 12 is interested in task 8.\nHost 6 is interested in task 8.\nHost 4 is interested in task 0.\nHost 7 is interested in task 7.\nHost 4 is interested in task 10.\nHost 14 is interested in task 11.\nHost 9 is interested in task 8.\nHost 6 is interested in task 4.\nHost 12 is interested in task 11.\nHost 3 is interested in task 9.\nHost 7 is interested in task 10.\nHost 3 is interested in task 4.\nHost 11 is interested in task 5.\nHost 1 is interested in task 5.\nHost 12 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 9 is interested in task 10.\nHost 5 is interested in task 8.\nHost 10 is interested in task 10.\nHost 14 is interested in task 3.\nHost 9 is interested in task 5.\nHost 4 is interested in task 4.\nHost 0 is interested in task 6.\nHost 2 is interested in task 11.\nHost 1 is interested in task 9.\nHost 8 is interested in task 1.\nHost 10 is interested in task 3.\nHost 12 is interested in task 4.\nHost 3 is interested in task 8.\nHost 3 is interested in task 5.\nHost 5 is interested in task 5.\nHost 4 is interested in task 3.\nHost 12 is interested in task 6.\nHost 14 is interested in task 9.\nHost 3 is interested in task 7.\nHost 2 is interested in task 7.\nHost 13 is interested in task 8.\nHost 13 is interested in task 10.\nHost 6 is interested in task 7.\nHost 3 is interested in task 0.\nHost 14 is interested in task 7.\nHost 9 is interested in task 7.\nHost 11 is interested in task 2.\nHost 13 is interested in task 4.\nHost 9 is interested in task 6.\nHost 6 is interested in task 0.\nHost 10 is interested in task 0.\nHost 0 is interested in task 1.\nHost 7 is interested in task 9.\nHost 10 is interested in task 1.\nHost 5 is interested in task 1.\nHost 14 is interested in task 4.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph448", "image": "data/matching/graph_visual/hard/graph448.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 3.\nHost 6 is interested in task 3.\nHost 7 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 7.\nHost 5 is interested in task 1.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 6 is interested in task 0.\nHost 3 is interested in task 5.\nHost 5 is interested in task 3.\nHost 1 is interested in task 8.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 3 is interested in task 4.\nHost 5 is interested in task 8.\nHost 6 is interested in task 2.\nHost 5 is interested in task 6.\nHost 8 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 5.\nHost 7 is interested in task 1.\nHost 9 is interested in task 8.\nHost 1 is interested in task 7.\nHost 1 is interested in task 1.\nHost 8 is interested in task 8.\nHost 4 is interested in task 2.\nHost 3 is interested in task 2.\nHost 0 is interested in task 7.\nHost 10 is interested in task 4.\nHost 8 is interested in task 0.\nHost 11 is interested in task 5.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 8.\nHost 10 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 7 is interested in task 7.\nHost 10 is interested in task 0.\nHost 2 is interested in task 5.\nHost 7 is interested in task 2.\nHost 11 is interested in task 4.\nHost 6 is interested in task 5.\nHost 7 is interested in task 4.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph190", "image": "data/matching/graph_visual/hard/graph190.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 9.\nHost 8 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 10.\nHost 0 is interested in task 8.\nHost 6 is interested in task 10.\nHost 2 is interested in task 4.\nHost 3 is interested in task 1.\nHost 0 is interested in task 11.\nHost 9 is interested in task 12.\nHost 5 is interested in task 0.\nHost 3 is interested in task 8.\nHost 2 is interested in task 2.\nHost 3 is interested in task 10.\nHost 0 is interested in task 0.\nHost 7 is interested in task 4.\nHost 6 is interested in task 8.\nHost 2 is interested in task 8.\nHost 1 is interested in task 3.\nHost 9 is interested in task 9.\nHost 5 is interested in task 1.\nHost 8 is interested in task 0.\nHost 9 is interested in task 4.\nHost 7 is interested in task 6.\nHost 4 is interested in task 9.\nHost 5 is interested in task 8.\nHost 4 is interested in task 4.\nHost 6 is interested in task 0.\nHost 8 is interested in task 6.\nHost 0 is interested in task 10.\nHost 3 is interested in task 11.\nHost 7 is interested in task 12.\nHost 7 is interested in task 7.\nHost 1 is interested in task 12.\nHost 7 is interested in task 0.\nHost 7 is interested in task 10.\nHost 2 is interested in task 5.\nHost 8 is interested in task 12.\nHost 4 is interested in task 0.\nHost 1 is interested in task 8.\nHost 7 is interested in task 3.\nHost 4 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 4.\nHost 9 is interested in task 1.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph655", "image": "data/matching/graph_visual/hard/graph655.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 5 is interested in task 7.\nHost 3 is interested in task 1.\nHost 7 is interested in task 9.\nHost 3 is interested in task 3.\nHost 10 is interested in task 1.\nHost 5 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 3.\nHost 8 is interested in task 5.\nHost 4 is interested in task 1.\nHost 6 is interested in task 9.\nHost 4 is interested in task 6.\nHost 8 is interested in task 9.\nHost 12 is interested in task 5.\nHost 11 is interested in task 9.\nHost 5 is interested in task 3.\nHost 4 is interested in task 4.\nHost 8 is interested in task 7.\nHost 11 is interested in task 1.\nHost 4 is interested in task 9.\nHost 10 is interested in task 7.\nHost 9 is interested in task 5.\nHost 9 is interested in task 0.\nHost 8 is interested in task 2.\nHost 3 is interested in task 9.\nHost 1 is interested in task 4.\nHost 9 is interested in task 9.\nHost 10 is interested in task 5.\nHost 9 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 7.\nHost 9 is interested in task 8.\nHost 7 is interested in task 7.\nHost 10 is interested in task 6.\nHost 2 is interested in task 8.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 9.\nHost 4 is interested in task 8.\nHost 5 is interested in task 8.\nHost 1 is interested in task 8.\nHost 5 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 7.\nHost 1 is interested in task 7.\nHost 4 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph618", "image": "data/matching/graph_visual/hard/graph618.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 11 is interested in task 9.\nHost 6 is interested in task 5.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 3 is interested in task 9.\nHost 5 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 13.\nHost 0 is interested in task 13.\nHost 8 is interested in task 7.\nHost 9 is interested in task 12.\nHost 5 is interested in task 11.\nHost 9 is interested in task 6.\nHost 4 is interested in task 2.\nHost 11 is interested in task 13.\nHost 2 is interested in task 4.\nHost 5 is interested in task 7.\nHost 3 is interested in task 8.\nHost 3 is interested in task 0.\nHost 8 is interested in task 6.\nHost 7 is interested in task 1.\nHost 6 is interested in task 14.\nHost 3 is interested in task 10.\nHost 1 is interested in task 8.\nHost 4 is interested in task 6.\nHost 1 is interested in task 1.\nHost 9 is interested in task 2.\nHost 5 is interested in task 12.\nHost 11 is interested in task 4.\nHost 9 is interested in task 13.\nHost 11 is interested in task 6.\nHost 1 is interested in task 13.\nHost 9 is interested in task 0.\nHost 5 is interested in task 14.\nHost 7 is interested in task 14.\nHost 9 is interested in task 14.\nHost 9 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 5.\nHost 4 is interested in task 12.\nHost 2 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 10.\nHost 7 is interested in task 7.\nHost 10 is interested in task 8.\nHost 4 is interested in task 13.\nHost 7 is interested in task 10.\nHost 7 is interested in task 12.\nHost 2 is interested in task 6.\nHost 2 is interested in task 14.\nHost 6 is interested in task 12.\nHost 7 is interested in task 5.\nHost 9 is interested in task 10.\nHost 11 is interested in task 12.\nHost 1 is interested in task 3.\nHost 9 is interested in task 4.\nHost 3 is interested in task 14.\nHost 1 is interested in task 12.\nHost 10 is interested in task 4.\nHost 10 is interested in task 13.\nHost 5 is interested in task 8.\nHost 11 is interested in task 0.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 11 is interested in task 8.\nHost 2 is interested in task 11.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1252", "image": "data/matching/graph_visual/hard/graph1252.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 16.\nHost 13 is interested in task 3.\nHost 8 is interested in task 11.\nHost 14 is interested in task 16.\nHost 13 is interested in task 8.\nHost 3 is interested in task 11.\nHost 5 is interested in task 17.\nHost 4 is interested in task 5.\nHost 1 is interested in task 8.\nHost 2 is interested in task 16.\nHost 1 is interested in task 10.\nHost 6 is interested in task 10.\nHost 12 is interested in task 8.\nHost 4 is interested in task 8.\nHost 9 is interested in task 15.\nHost 5 is interested in task 12.\nHost 12 is interested in task 3.\nHost 10 is interested in task 8.\nHost 14 is interested in task 0.\nHost 11 is interested in task 10.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 3.\nHost 14 is interested in task 14.\nHost 6 is interested in task 0.\nHost 10 is interested in task 10.\nHost 1 is interested in task 14.\nHost 8 is interested in task 5.\nHost 10 is interested in task 7.\nHost 8 is interested in task 12.\nHost 4 is interested in task 16.\nHost 12 is interested in task 10.\nHost 5 is interested in task 14.\nHost 13 is interested in task 5.\nHost 11 is interested in task 17.\nHost 5 is interested in task 4.\nHost 2 is interested in task 5.\nHost 7 is interested in task 8.\nHost 5 is interested in task 2.\nHost 9 is interested in task 12.\nHost 9 is interested in task 9.\nHost 0 is interested in task 11.\nHost 11 is interested in task 0.\nHost 2 is interested in task 13.\nHost 8 is interested in task 14.\nHost 5 is interested in task 16.\nHost 5 is interested in task 9.\nHost 13 is interested in task 14.\nHost 7 is interested in task 14.\nHost 13 is interested in task 13.\nHost 7 is interested in task 17.\nHost 13 is interested in task 2.\nHost 13 is interested in task 9.\nHost 11 is interested in task 11.\nHost 2 is interested in task 12.\nHost 13 is interested in task 11.\nHost 2 is interested in task 6.\nHost 10 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 8.\nHost 6 is interested in task 15.\nHost 12 is interested in task 7.\nHost 2 is interested in task 14.\nHost 10 is interested in task 0.\nHost 14 is interested in task 8.\nHost 11 is interested in task 4.\nHost 0 is interested in task 4.\nHost 1 is interested in task 16.\nHost 4 is interested in task 14.\nHost 5 is interested in task 11.\nHost 5 is interested in task 7.\nHost 10 is interested in task 9.\nHost 4 is interested in task 12.\nHost 3 is interested in task 1.\nHost 10 is interested in task 13.\nHost 7 is interested in task 13.\nHost 2 is interested in task 17.\nHost 14 is interested in task 7.\nHost 13 is interested in task 0.\nHost 14 is interested in task 11.\nHost 2 is interested in task 8.\nHost 6 is interested in task 9.\nHost 12 is interested in task 14.\nHost 9 is interested in task 11.\nHost 12 is interested in task 16.\nHost 9 is interested in task 2.\nHost 9 is interested in task 4.\nHost 0 is interested in task 13.\nHost 13 is interested in task 16.\nHost 13 is interested in task 15.\nHost 14 is interested in task 1.\nHost 10 is interested in task 16.\nHost 6 is interested in task 4.\nHost 11 is interested in task 7.\nHost 3 is interested in task 12.\nHost 13 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph303", "image": "data/matching/graph_visual/hard/graph303.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 3 is interested in task 8.\nHost 1 is interested in task 4.\nHost 2 is interested in task 6.\nHost 6 is interested in task 9.\nHost 9 is interested in task 4.\nHost 3 is interested in task 6.\nHost 9 is interested in task 6.\nHost 5 is interested in task 7.\nHost 1 is interested in task 6.\nHost 7 is interested in task 4.\nHost 8 is interested in task 3.\nHost 9 is interested in task 9.\nHost 8 is interested in task 2.\nHost 7 is interested in task 9.\nHost 1 is interested in task 1.\nHost 10 is interested in task 7.\nHost 4 is interested in task 7.\nHost 4 is interested in task 5.\nHost 9 is interested in task 8.\nHost 10 is interested in task 9.\nHost 4 is interested in task 1.\nHost 4 is interested in task 8.\nHost 3 is interested in task 4.\nHost 6 is interested in task 7.\nHost 10 is interested in task 1.\nHost 9 is interested in task 1.\nHost 1 is interested in task 9.\nHost 9 is interested in task 7.\nHost 6 is interested in task 10.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 10 is interested in task 5.\nHost 6 is interested in task 2.\nHost 3 is interested in task 9.\nHost 7 is interested in task 5.\nHost 0 is interested in task 9.\nHost 0 is interested in task 2.\nHost 9 is interested in task 3.\nHost 1 is interested in task 10.\nHost 2 is interested in task 10.\nHost 0 is interested in task 10.\nHost 9 is interested in task 5.\nHost 5 is interested in task 5.\nHost 0 is interested in task 1.\nHost 1 is interested in task 8.\nHost 9 is interested in task 10.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 8 is interested in task 9.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3.\nHost 7 is interested in task 3.\nHost 8 is interested in task 4.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph562", "image": "data/matching/graph_visual/hard/graph562.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 11.\nHost 7 is interested in task 10.\nHost 4 is interested in task 7.\nHost 1 is interested in task 8.\nHost 7 is interested in task 7.\nHost 7 is interested in task 5.\nHost 10 is interested in task 9.\nHost 11 is interested in task 11.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 10 is interested in task 6.\nHost 4 is interested in task 11.\nHost 4 is interested in task 0.\nHost 10 is interested in task 1.\nHost 5 is interested in task 0.\nHost 3 is interested in task 10.\nHost 2 is interested in task 7.\nHost 11 is interested in task 0.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 9 is interested in task 6.\nHost 7 is interested in task 4.\nHost 10 is interested in task 0.\nHost 7 is interested in task 1.\nHost 3 is interested in task 3.\nHost 6 is interested in task 5.\nHost 0 is interested in task 11.\nHost 3 is interested in task 4.\nHost 7 is interested in task 12.\nHost 7 is interested in task 9.\nHost 8 is interested in task 6.\nHost 7 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 10.\nHost 6 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 3.\nHost 10 is interested in task 10.\nHost 8 is interested in task 12.\nHost 1 is interested in task 11.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 7 is interested in task 8.\nHost 5 is interested in task 3.\nHost 10 is interested in task 11.\nHost 4 is interested in task 5.\nHost 4 is interested in task 12.\nHost 7 is interested in task 6.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 10 is interested in task 12.\nHost 3 is interested in task 12.\nHost 6 is interested in task 12.\nHost 7 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 0 is interested in task 8.\nHost 6 is interested in task 9.\nHost 10 is interested in task 5.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1146", "image": "data/matching/graph_visual/hard/graph1146.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 8 is interested in task 9.\nHost 4 is interested in task 14.\nHost 4 is interested in task 9.\nHost 5 is interested in task 13.\nHost 1 is interested in task 12.\nHost 10 is interested in task 12.\nHost 14 is interested in task 1.\nHost 14 is interested in task 6.\nHost 6 is interested in task 2.\nHost 14 is interested in task 4.\nHost 3 is interested in task 6.\nHost 1 is interested in task 2.\nHost 13 is interested in task 11.\nHost 6 is interested in task 8.\nHost 7 is interested in task 5.\nHost 7 is interested in task 12.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 6 is interested in task 3.\nHost 11 is interested in task 11.\nHost 1 is interested in task 9.\nHost 11 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 1.\nHost 11 is interested in task 9.\nHost 7 is interested in task 10.\nHost 8 is interested in task 3.\nHost 2 is interested in task 10.\nHost 9 is interested in task 10.\nHost 6 is interested in task 12.\nHost 0 is interested in task 4.\nHost 5 is interested in task 9.\nHost 9 is interested in task 7.\nHost 1 is interested in task 1.\nHost 7 is interested in task 1.\nHost 4 is interested in task 12.\nHost 4 is interested in task 8.\nHost 7 is interested in task 8.\nHost 11 is interested in task 7.\nHost 12 is interested in task 6.\nHost 8 is interested in task 10.\nHost 7 is interested in task 4.\nHost 13 is interested in task 0.\nHost 1 is interested in task 6.\nHost 8 is interested in task 7.\nHost 10 is interested in task 3.\nHost 9 is interested in task 14.\nHost 10 is interested in task 1.\nHost 8 is interested in task 8.\nHost 5 is interested in task 10.\nHost 5 is interested in task 6.\nHost 8 is interested in task 5.\nHost 14 is interested in task 0.\nHost 6 is interested in task 14.\nHost 4 is interested in task 2.\nHost 9 is interested in task 4.\nHost 9 is interested in task 11.\nHost 3 is interested in task 4.\nHost 7 is interested in task 9.\nHost 14 is interested in task 2.\nHost 13 is interested in task 6.\nHost 14 is interested in task 3.\nHost 4 is interested in task 11.\nHost 0 is interested in task 14.\nHost 1 is interested in task 5.\nHost 2 is interested in task 9.\nHost 14 is interested in task 14.\nHost 6 is interested in task 10.\nHost 7 is interested in task 11.\nHost 9 is interested in task 8.\nHost 3 is interested in task 2.\nHost 12 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 12.\nHost 11 is interested in task 1.\nHost 4 is interested in task 10.\nHost 1 is interested in task 14.\nHost 1 is interested in task 11.\nHost 13 is interested in task 14.\nHost 6 is interested in task 13.\nHost 14 is interested in task 12.\nHost 4 is interested in task 13.\nHost 9 is interested in task 3.\nHost 1 is interested in task 13.\nHost 12 is interested in task 12.\nHost 12 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph624", "image": "data/matching/graph_visual/hard/graph624.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 0.\nHost 10 is interested in task 12.\nHost 6 is interested in task 5.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 1 is interested in task 1.\nHost 7 is interested in task 5.\nHost 10 is interested in task 8.\nHost 1 is interested in task 9.\nHost 7 is interested in task 2.\nHost 8 is interested in task 10.\nHost 6 is interested in task 9.\nHost 5 is interested in task 7.\nHost 7 is interested in task 9.\nHost 5 is interested in task 11.\nHost 11 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 13.\nHost 4 is interested in task 12.\nHost 2 is interested in task 10.\nHost 11 is interested in task 3.\nHost 10 is interested in task 14.\nHost 2 is interested in task 1.\nHost 9 is interested in task 4.\nHost 0 is interested in task 9.\nHost 1 is interested in task 2.\nHost 3 is interested in task 0.\nHost 5 is interested in task 13.\nHost 7 is interested in task 7.\nHost 11 is interested in task 2.\nHost 6 is interested in task 8.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 0 is interested in task 14.\nHost 4 is interested in task 2.\nHost 0 is interested in task 10.\nHost 5 is interested in task 9.\nHost 5 is interested in task 8.\nHost 9 is interested in task 7.\nHost 9 is interested in task 10.\nHost 9 is interested in task 6.\nHost 9 is interested in task 14.\nHost 9 is interested in task 9.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 8 is interested in task 9.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 8 is interested in task 14.\nHost 11 is interested in task 14.\nHost 7 is interested in task 1.\nHost 1 is interested in task 13.\nHost 0 is interested in task 7.\nHost 9 is interested in task 13.\nHost 10 is interested in task 9.\nHost 9 is interested in task 1.\nHost 5 is interested in task 12.\nHost 1 is interested in task 6.\nHost 0 is interested in task 12.\nHost 0 is interested in task 13.\nHost 10 is interested in task 1.\nHost 7 is interested in task 6.\nHost 7 is interested in task 12.\nHost 2 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1075", "image": "data/matching/graph_visual/hard/graph1075.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 7.\nHost 14 is interested in task 7.\nHost 8 is interested in task 3.\nHost 3 is interested in task 9.\nHost 13 is interested in task 2.\nHost 11 is interested in task 5.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 13 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 9.\nHost 3 is interested in task 6.\nHost 9 is interested in task 4.\nHost 2 is interested in task 2.\nHost 12 is interested in task 4.\nHost 3 is interested in task 2.\nHost 13 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 7.\nHost 12 is interested in task 11.\nHost 14 is interested in task 4.\nHost 12 is interested in task 8.\nHost 12 is interested in task 9.\nHost 12 is interested in task 1.\nHost 6 is interested in task 6.\nHost 14 is interested in task 2.\nHost 14 is interested in task 3.\nHost 7 is interested in task 10.\nHost 8 is interested in task 4.\nHost 11 is interested in task 8.\nHost 2 is interested in task 10.\nHost 14 is interested in task 1.\nHost 9 is interested in task 11.\nHost 8 is interested in task 6.\nHost 10 is interested in task 4.\nHost 1 is interested in task 6.\nHost 6 is interested in task 11.\nHost 5 is interested in task 9.\nHost 2 is interested in task 1.\nHost 8 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 5.\nHost 14 is interested in task 10.\nHost 5 is interested in task 4.\nHost 11 is interested in task 2.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 11 is interested in task 7.\nHost 7 is interested in task 0.\nHost 11 is interested in task 10.\nHost 7 is interested in task 6.\nHost 13 is interested in task 10.\nHost 11 is interested in task 11.\nHost 2 is interested in task 7.\nHost 4 is interested in task 11.\nHost 13 is interested in task 5.\nHost 7 is interested in task 5.\nHost 9 is interested in task 8.\nHost 12 is interested in task 7.\nHost 4 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 4.\nHost 4 is interested in task 10.\nHost 3 is interested in task 5.\nHost 7 is interested in task 3.\nHost 0 is interested in task 10.\nHost 2 is interested in task 11.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 14 is interested in task 5.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9.\nHost 11 is interested in task 4.\nHost 6 is interested in task 5.\nHost 12 is interested in task 10.\nHost 11 is interested in task 1.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph861", "image": "data/matching/graph_visual/hard/graph861.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 0.\nHost 4 is interested in task 1.\nHost 12 is interested in task 10.\nHost 5 is interested in task 10.\nHost 4 is interested in task 9.\nHost 7 is interested in task 10.\nHost 8 is interested in task 3.\nHost 6 is interested in task 7.\nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 7 is interested in task 9.\nHost 2 is interested in task 9.\nHost 9 is interested in task 7.\nHost 7 is interested in task 0.\nHost 2 is interested in task 2.\nHost 8 is interested in task 8.\nHost 3 is interested in task 7.\nHost 9 is interested in task 5.\nHost 0 is interested in task 10.\nHost 3 is interested in task 9.\nHost 0 is interested in task 8.\nHost 2 is interested in task 6.\nHost 9 is interested in task 4.\nHost 2 is interested in task 10.\nHost 13 is interested in task 8.\nHost 13 is interested in task 6.\nHost 0 is interested in task 5.\nHost 7 is interested in task 2.\nHost 1 is interested in task 2.\nHost 11 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 7.\nHost 13 is interested in task 0.\nHost 10 is interested in task 3.\nHost 3 is interested in task 10.\nHost 2 is interested in task 8.\nHost 13 is interested in task 2.\nHost 6 is interested in task 0.\nHost 5 is interested in task 0.\nHost 11 is interested in task 2.\nHost 13 is interested in task 9.\nHost 8 is interested in task 10.\nHost 5 is interested in task 3.\nHost 7 is interested in task 1.\nHost 11 is interested in task 10.\nHost 4 is interested in task 10.\nHost 8 is interested in task 2.\nHost 2 is interested in task 3.\nHost 10 is interested in task 8.\nHost 13 is interested in task 7.\nHost 12 is interested in task 8.\nHost 6 is interested in task 1.\nHost 9 is interested in task 10.\nHost 7 is interested in task 8.\nHost 11 is interested in task 0.\nHost 9 is interested in task 3.\nHost 1 is interested in task 1.\nHost 10 is interested in task 1.\nHost 0 is interested in task 4.\nHost 9 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 4.\nHost 11 is interested in task 1.\nHost 11 is interested in task 7.\nHost 12 is interested in task 1.\nHost 10 is interested in task 9.\nHost 4 is interested in task 6.\nHost 6 is interested in task 10.\nHost 9 is interested in task 2.\nHost 9 is interested in task 9.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1230", "image": "data/matching/graph_visual/hard/graph1230.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 14.\nHost 14 is interested in task 17.\nHost 14 is interested in task 8.\nHost 8 is interested in task 7.\nHost 14 is interested in task 6.\nHost 14 is interested in task 3.\nHost 10 is interested in task 12.\nHost 9 is interested in task 17.\nHost 6 is interested in task 0.\nHost 4 is interested in task 5.\nHost 10 is interested in task 17.\nHost 11 is interested in task 17.\nHost 11 is interested in task 11.\nHost 12 is interested in task 9.\nHost 11 is interested in task 10.\nHost 11 is interested in task 12.\nHost 12 is interested in task 14.\nHost 12 is interested in task 11.\nHost 7 is interested in task 2.\nHost 6 is interested in task 17.\nHost 0 is interested in task 14.\nHost 8 is interested in task 14.\nHost 14 is interested in task 4.\nHost 8 is interested in task 17.\nHost 9 is interested in task 4.\nHost 0 is interested in task 13.\nHost 11 is interested in task 0.\nHost 13 is interested in task 6.\nHost 9 is interested in task 6.\nHost 2 is interested in task 12.\nHost 2 is interested in task 10.\nHost 1 is interested in task 1.\nHost 6 is interested in task 16.\nHost 3 is interested in task 13.\nHost 12 is interested in task 12.\nHost 3 is interested in task 14.\nHost 0 is interested in task 17.\nHost 1 is interested in task 7.\nHost 8 is interested in task 13.\nHost 7 is interested in task 3.\nHost 9 is interested in task 7.\nHost 14 is interested in task 12.\nHost 11 is interested in task 14.\nHost 14 is interested in task 2.\nHost 0 is interested in task 12.\nHost 14 is interested in task 16.\nHost 5 is interested in task 7.\nHost 8 is interested in task 11.\nHost 7 is interested in task 8.\nHost 5 is interested in task 12.\nHost 2 is interested in task 5.\nHost 6 is interested in task 15.\nHost 13 is interested in task 4.\nHost 7 is interested in task 5.\nHost 14 is interested in task 7.\nHost 3 is interested in task 4.\nHost 10 is interested in task 9.\nHost 3 is interested in task 8.\nHost 11 is interested in task 9.\nHost 14 is interested in task 5.\nHost 5 is interested in task 5.\nHost 10 is interested in task 7.\nHost 1 is interested in task 14.\nHost 1 is interested in task 4.\nHost 7 is interested in task 1.\nHost 9 is interested in task 1.\nHost 6 is interested in task 3.\nHost 11 is interested in task 1.\nHost 8 is interested in task 10.\nHost 0 is interested in task 9.\nHost 8 is interested in task 8.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 2.\nHost 4 is interested in task 12.\nHost 8 is interested in task 1.\nHost 2 is interested in task 9.\nHost 5 is interested in task 17.\nHost 6 is interested in task 8.\nHost 12 is interested in task 15.\nHost 3 is interested in task 1.\nHost 4 is interested in task 15.\nHost 12 is interested in task 13.\nHost 4 is interested in task 13.\nHost 4 is interested in task 7.\nHost 10 is interested in task 10.\nHost 10 is interested in task 5.\nHost 6 is interested in task 6.\nHost 14 is interested in task 14.\nHost 4 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 15.\nHost 8 is interested in task 0.\nHost 13 is interested in task 2.\nHost 0 is interested in task 8.\nHost 5 is interested in task 1.\nHost 0 is interested in task 11.\nHost 14 is interested in task 15.\nHost 1 is interested in task 8.\nHost 12 is interested in task 16.\nHost 6 is interested in task 9.\nHost 4 is interested in task 14.\nHost 6 is interested in task 4.\nHost 10 is interested in task 1.\nHost 2 is interested in task 17.\nHost 12 is interested in task 10.\nHost 4 is interested in task 8.\nHost 7 is interested in task 6.\nHost 0 is interested in task 0.\nHost 12 is interested in task 4.\nHost 9 is interested in task 8.\nHost 14 is interested in task 1.\nHost 0 is interested in task 16.\nHost 11 is interested in task 6.\nHost 11 is interested in task 13.\nHost 12 is interested in task 17.\nHost 8 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph627", "image": "data/matching/graph_visual/hard/graph627.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 6 is interested in task 8.\nHost 9 is interested in task 13.\nHost 9 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 10.\nHost 7 is interested in task 1.\nHost 5 is interested in task 11.\nHost 11 is interested in task 8.\nHost 10 is interested in task 3.\nHost 4 is interested in task 1.\nHost 10 is interested in task 13.\nHost 1 is interested in task 12.\nHost 11 is interested in task 4.\nHost 9 is interested in task 4.\nHost 0 is interested in task 12.\nHost 0 is interested in task 9.\nHost 0 is interested in task 7.\nHost 5 is interested in task 8.\nHost 3 is interested in task 13.\nHost 1 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 5 is interested in task 10.\nHost 0 is interested in task 3.\nHost 3 is interested in task 9.\nHost 6 is interested in task 4.\nHost 3 is interested in task 12.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 7 is interested in task 14.\nHost 5 is interested in task 4.\nHost 4 is interested in task 14.\nHost 6 is interested in task 6.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 9 is interested in task 8.\nHost 7 is interested in task 12.\nHost 11 is interested in task 5.\nHost 3 is interested in task 4.\nHost 5 is interested in task 5.\nHost 6 is interested in task 9.\nHost 11 is interested in task 3.\nHost 6 is interested in task 7.\nHost 9 is interested in task 9.\nHost 9 is interested in task 7.\nHost 7 is interested in task 10.\nHost 0 is interested in task 6.\nHost 10 is interested in task 2.\nHost 1 is interested in task 10.\nHost 5 is interested in task 12.\nHost 9 is interested in task 11.\nHost 3 is interested in task 11.\nHost 11 is interested in task 0.\nHost 11 is interested in task 2.\nHost 4 is interested in task 5.\nHost 10 is interested in task 7.\nHost 0 is interested in task 5.\nHost 9 is interested in task 6.\nHost 11 is interested in task 6.\nHost 7 is interested in task 8.\nHost 8 is interested in task 14.\nHost 8 is interested in task 4.\nHost 5 is interested in task 2.\nHost 9 is interested in task 12.\nHost 3 is interested in task 8.\nHost 6 is interested in task 14.\nHost 0 is interested in task 11.\nHost 4 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph400", "image": "data/matching/graph_visual/hard/graph400.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 9 is interested in task 5.\nHost 8 is interested in task 12.\nHost 1 is interested in task 12.\nHost 9 is interested in task 0.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 7 is interested in task 13.\nHost 3 is interested in task 1.\nHost 7 is interested in task 5.\nHost 0 is interested in task 0.\nHost 0 is interested in task 11.\nHost 6 is interested in task 8.\nHost 8 is interested in task 8.\nHost 3 is interested in task 10.\nHost 3 is interested in task 8.\nHost 2 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 8.\nHost 8 is interested in task 4.\nHost 2 is interested in task 6.\nHost 7 is interested in task 8.\nHost 9 is interested in task 11.\nHost 4 is interested in task 2.\nHost 7 is interested in task 9.\nHost 10 is interested in task 5.\nHost 6 is interested in task 12.\nHost 5 is interested in task 9.\nHost 6 is interested in task 0.\nHost 0 is interested in task 12.\nHost 8 is interested in task 6.\nHost 3 is interested in task 11.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 7 is interested in task 7.\nHost 4 is interested in task 5.\nHost 5 is interested in task 8.\nHost 7 is interested in task 10.\nHost 9 is interested in task 2.\nHost 8 is interested in task 9.\nHost 6 is interested in task 11.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 3 is interested in task 4.\nHost 9 is interested in task 12.\nHost 8 is interested in task 10.\nHost 6 is interested in task 4.\nHost 10 is interested in task 1.\nHost 4 is interested in task 10.\nHost 10 is interested in task 2.\nHost 1 is interested in task 9.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 6.\nHost 5 is interested in task 1.\nHost 4 is interested in task 8.\nHost 7 is interested in task 11.\nHost 6 is interested in task 7.\nHost 8 is interested in task 11.\nHost 8 is interested in task 13.\nHost 3 is interested in task 13.\nHost 10 is interested in task 6.\nHost 3 is interested in task 12.\nHost 8 is interested in task 0.\nHost 2 is interested in task 10.\nHost 3 is interested in task 9.\nHost 8 is interested in task 5.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph740", "image": "data/matching/graph_visual/hard/graph740.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 2 is interested in task 4.\nHost 3 is interested in task 9.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 8 is interested in task 5.\nHost 7 is interested in task 1.\nHost 2 is interested in task 10.\nHost 8 is interested in task 9.\nHost 10 is interested in task 0.\nHost 4 is interested in task 7.\nHost 3 is interested in task 5.\nHost 5 is interested in task 12.\nHost 0 is interested in task 11.\nHost 4 is interested in task 2.\nHost 10 is interested in task 5.\nHost 4 is interested in task 5.\nHost 12 is interested in task 5.\nHost 7 is interested in task 3.\nHost 7 is interested in task 7.\nHost 2 is interested in task 5.\nHost 9 is interested in task 10.\nHost 3 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 9 is interested in task 5.\nHost 12 is interested in task 4.\nHost 9 is interested in task 2.\nHost 5 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 10.\nHost 8 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 12.\nHost 8 is interested in task 11.\nHost 0 is interested in task 1.\nHost 4 is interested in task 9.\nHost 1 is interested in task 4.\nHost 10 is interested in task 8.\nHost 7 is interested in task 12.\nHost 1 is interested in task 1.\nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 7 is interested in task 4.\nHost 5 is interested in task 9.\nHost 8 is interested in task 1.\nHost 2 is interested in task 7.\nHost 5 is interested in task 7.\nHost 11 is interested in task 9.\nHost 7 is interested in task 5.\nHost 12 is interested in task 7.\nHost 2 is interested in task 11.\nHost 6 is interested in task 8.\nHost 9 is interested in task 1.\nHost 4 is interested in task 12.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 7 is interested in task 2.\nHost 3 is interested in task 7.\nHost 7 is interested in task 11.\nHost 10 is interested in task 9.\nHost 5 is interested in task 0.\nHost 12 is interested in task 3.\nHost 12 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph714", "image": "data/matching/graph_visual/hard/graph714.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 2.\nHost 7 is interested in task 11.\nHost 5 is interested in task 3.\nHost 1 is interested in task 10.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 12 is interested in task 7.\nHost 9 is interested in task 6.\nHost 10 is interested in task 9.\nHost 2 is interested in task 7.\nHost 6 is interested in task 9.\nHost 11 is interested in task 3.\nHost 0 is interested in task 9.\nHost 12 is interested in task 3.\nHost 3 is interested in task 5.\nHost 5 is interested in task 9.\nHost 5 is interested in task 10.\nHost 6 is interested in task 2.\nHost 5 is interested in task 0.\nHost 2 is interested in task 10.\nHost 6 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 0.\nHost 9 is interested in task 4.\nHost 1 is interested in task 8.\nHost 10 is interested in task 5.\nHost 4 is interested in task 9.\nHost 12 is interested in task 8.\nHost 10 is interested in task 1.\nHost 4 is interested in task 4.\nHost 11 is interested in task 7.\nHost 8 is interested in task 0.\nHost 0 is interested in task 11.\nHost 1 is interested in task 6.\nHost 0 is interested in task 8.\nHost 9 is interested in task 3.\nHost 2 is interested in task 9.\nHost 3 is interested in task 2.\nHost 9 is interested in task 7.\nHost 6 is interested in task 0.\nHost 9 is interested in task 2.\nHost 3 is interested in task 10.\nHost 1 is interested in task 7.\nHost 7 is interested in task 2.\nHost 2 is interested in task 1.\nHost 7 is interested in task 7.\nHost 4 is interested in task 11.\nHost 3 is interested in task 0.\nHost 11 is interested in task 8.\nHost 10 is interested in task 8.\nHost 5 is interested in task 7.\nHost 12 is interested in task 5.\nHost 5 is interested in task 1.\nHost 10 is interested in task 7.\nHost 9 is interested in task 10.\nHost 5 is interested in task 6.\nHost 9 is interested in task 0.\nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 1 is interested in task 11.\nHost 3 is interested in task 8.\nHost 12 is interested in task 11.\nHost 7 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 2.\nHost 8 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 11.\nHost 6 is interested in task 7.\nHost 5 is interested in task 2.\nHost 1 is interested in task 5.\nHost 7 is interested in task 4.\nHost 7 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph791", "image": "data/matching/graph_visual/hard/graph791.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 2.\nHost 7 is interested in task 11.\nHost 11 is interested in task 6.\nHost 11 is interested in task 4.\nHost 3 is interested in task 5.\nHost 6 is interested in task 3.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 12 is interested in task 2.\nHost 12 is interested in task 10.\nHost 2 is interested in task 6.\nHost 9 is interested in task 6.\nHost 10 is interested in task 6.\nHost 10 is interested in task 3.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 11 is interested in task 14.\nHost 1 is interested in task 12.\nHost 1 is interested in task 1.\nHost 6 is interested in task 0.\nHost 1 is interested in task 14.\nHost 11 is interested in task 0.\nHost 1 is interested in task 9.\nHost 11 is interested in task 12.\nHost 7 is interested in task 4.\nHost 12 is interested in task 0.\nHost 2 is interested in task 14.\nHost 1 is interested in task 6.\nHost 8 is interested in task 3.\nHost 12 is interested in task 12.\nHost 3 is interested in task 7.\nHost 3 is interested in task 12.\nHost 3 is interested in task 0.\nHost 4 is interested in task 11.\nHost 3 is interested in task 8.\nHost 0 is interested in task 3.\nHost 5 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 14.\nHost 2 is interested in task 9.\nHost 4 is interested in task 4.\nHost 8 is interested in task 14.\nHost 11 is interested in task 7.\nHost 9 is interested in task 10.\nHost 3 is interested in task 1.\nHost 0 is interested in task 7.\nHost 0 is interested in task 11.\nHost 0 is interested in task 12.\nHost 3 is interested in task 3.\nHost 6 is interested in task 14.\nHost 11 is interested in task 11.\nHost 9 is interested in task 13.\nHost 9 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 13.\nHost 4 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 10.\nHost 2 is interested in task 3.\nHost 10 is interested in task 0.\nHost 0 is interested in task 0.\nHost 0 is interested in task 1.\nHost 8 is interested in task 0.\nHost 1 is interested in task 3.\nHost 9 is interested in task 12.\nHost 6 is interested in task 12.\nHost 10 is interested in task 9.\nHost 10 is interested in task 2.\nHost 6 is interested in task 7.\nHost 11 is interested in task 2.\nHost 12 is interested in task 13.\nHost 2 is interested in task 5.\nHost 0 is interested in task 13.\nHost 11 is interested in task 1.\nHost 10 is interested in task 12.\nHost 2 is interested in task 4.\nHost 7 is interested in task 10.\nHost 1 is interested in task 4.\nHost 6 is interested in task 9.\nHost 3 is interested in task 14.\nHost 7 is interested in task 5.\nHost 8 is interested in task 7.\nHost 7 is interested in task 1.\nHost 12 is interested in task 1.\nHost 9 is interested in task 1.\nHost 8 is interested in task 6.\nHost 11 is interested in task 13.\nHost 7 is interested in task 9.\nHost 10 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph268", "image": "data/matching/graph_visual/hard/graph268.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 8.\nHost 8 is interested in task 5.\nHost 9 is interested in task 6.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 5 is interested in task 1.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 6 is interested in task 6.\nHost 2 is interested in task 7.\nHost 7 is interested in task 0.\nHost 9 is interested in task 1.\nHost 2 is interested in task 5.\nHost 9 is interested in task 7.\nHost 2 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 1.\nHost 8 is interested in task 3.\nHost 6 is interested in task 7.\nHost 8 is interested in task 7.\nHost 10 is interested in task 1.\nHost 7 is interested in task 6.\nHost 1 is interested in task 6.\nHost 7 is interested in task 7.\nHost 1 is interested in task 3.\nHost 9 is interested in task 2.\nHost 8 is interested in task 0.\nHost 7 is interested in task 3.\nHost 4 is interested in task 7.\nHost 0 is interested in task 1.\nHost 5 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 6.\nHost 7 is interested in task 8.\nHost 0 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 9 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1072", "image": "data/matching/graph_visual/hard/graph1072.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 10.\nHost 5 is interested in task 9.\nHost 5 is interested in task 4.\nHost 11 is interested in task 11.\nHost 6 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 10.\nHost 14 is interested in task 1.\nHost 6 is interested in task 7.\nHost 7 is interested in task 0.\nHost 14 is interested in task 7.\nHost 11 is interested in task 6.\nHost 4 is interested in task 9.\nHost 12 is interested in task 7.\nHost 9 is interested in task 8.\nHost 10 is interested in task 11.\nHost 0 is interested in task 9.\nHost 11 is interested in task 7.\nHost 0 is interested in task 7.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 13 is interested in task 9.\nHost 8 is interested in task 5.\nHost 2 is interested in task 10.\nHost 0 is interested in task 10.\nHost 10 is interested in task 9.\nHost 0 is interested in task 5.\nHost 14 is interested in task 8.\nHost 2 is interested in task 6.\nHost 5 is interested in task 2.\nHost 8 is interested in task 9.\nHost 9 is interested in task 10.\nHost 7 is interested in task 9.\nHost 3 is interested in task 10.\nHost 4 is interested in task 7.\nHost 7 is interested in task 2.\nHost 10 is interested in task 0.\nHost 0 is interested in task 2.\nHost 7 is interested in task 8.\nHost 6 is interested in task 6.\nHost 2 is interested in task 8.\nHost 1 is interested in task 8.\nHost 11 is interested in task 2.\nHost 6 is interested in task 9.\nHost 8 is interested in task 6.\nHost 10 is interested in task 2.\nHost 13 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 3.\nHost 13 is interested in task 1.\nHost 12 is interested in task 4.\nHost 14 is interested in task 5.\nHost 10 is interested in task 4.\nHost 10 is interested in task 10.\nHost 3 is interested in task 9.\nHost 10 is interested in task 5.\nHost 2 is interested in task 9.\nHost 11 is interested in task 10.\nHost 6 is interested in task 2.\nHost 4 is interested in task 1.\nHost 12 is interested in task 9.\nHost 2 is interested in task 7.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 12 is interested in task 8.\nHost 7 is interested in task 11.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph487", "image": "data/matching/graph_visual/hard/graph487.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 1 is interested in task 9.\nHost 0 is interested in task 1.\nHost 2 is interested in task 9.\nHost 10 is interested in task 0.\nHost 4 is interested in task 10.\nHost 1 is interested in task 3.\nHost 6 is interested in task 8.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 4 is interested in task 0.\nHost 11 is interested in task 10.\nHost 7 is interested in task 1.\nHost 1 is interested in task 6.\nHost 10 is interested in task 8.\nHost 9 is interested in task 5.\nHost 1 is interested in task 1.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 10 is interested in task 9.\nHost 5 is interested in task 6.\nHost 11 is interested in task 7.\nHost 3 is interested in task 3.\nHost 5 is interested in task 9.\nHost 1 is interested in task 4.\nHost 5 is interested in task 10.\nHost 0 is interested in task 10.\nHost 9 is interested in task 6.\nHost 11 is interested in task 9.\nHost 8 is interested in task 10.\nHost 0 is interested in task 6.\nHost 3 is interested in task 6.\nHost 6 is interested in task 5.\nHost 7 is interested in task 2.\nHost 7 is interested in task 9.\nHost 11 is interested in task 6.\nHost 0 is interested in task 4.\nHost 10 is interested in task 10.\nHost 8 is interested in task 9.\nHost 6 is interested in task 2.\nHost 1 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 5 is interested in task 3.\nHost 4 is interested in task 9.\nHost 10 is interested in task 1.\nHost 5 is interested in task 8.\nHost 3 is interested in task 4.\nHost 3 is interested in task 9.\nHost 4 is interested in task 8.\nHost 5 is interested in task 5.\nHost 11 is interested in task 1.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1068", "image": "data/matching/graph_visual/hard/graph1068.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 4 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 4.\nHost 7 is interested in task 1.\nHost 9 is interested in task 8.\nHost 9 is interested in task 9.\nHost 8 is interested in task 3.\nHost 11 is interested in task 1.\nHost 7 is interested in task 8.\nHost 4 is interested in task 0.\nHost 6 is interested in task 8.\nHost 11 is interested in task 6.\nHost 5 is interested in task 1.\nHost 14 is interested in task 7.\nHost 12 is interested in task 8.\nHost 4 is interested in task 7.\nHost 11 is interested in task 7.\nHost 7 is interested in task 10.\nHost 3 is interested in task 8.\nHost 13 is interested in task 3.\nHost 6 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 10 is interested in task 7.\nHost 13 is interested in task 9.\nHost 12 is interested in task 10.\nHost 8 is interested in task 4.\nHost 11 is interested in task 5.\nHost 10 is interested in task 10.\nHost 2 is interested in task 4.\nHost 13 is interested in task 11.\nHost 5 is interested in task 5.\nHost 7 is interested in task 7.\nHost 12 is interested in task 6.\nHost 6 is interested in task 6.\nHost 1 is interested in task 8.\nHost 1 is interested in task 11.\nHost 6 is interested in task 7.\nHost 12 is interested in task 9.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 0 is interested in task 10.\nHost 12 is interested in task 1.\nHost 5 is interested in task 4.\nHost 13 is interested in task 4.\nHost 7 is interested in task 4.\nHost 3 is interested in task 10.\nHost 2 is interested in task 0.\nHost 1 is interested in task 10.\nHost 8 is interested in task 0.\nHost 13 is interested in task 8.\nHost 2 is interested in task 11.\nHost 2 is interested in task 6.\nHost 9 is interested in task 6.\nHost 1 is interested in task 4.\nHost 7 is interested in task 9.\nHost 0 is interested in task 8.\nHost 10 is interested in task 8.\nHost 10 is interested in task 9.\nHost 13 is interested in task 5.\nHost 4 is interested in task 6.\nHost 7 is interested in task 3.\nHost 5 is interested in task 9.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1086", "image": "data/matching/graph_visual/hard/graph1086.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 0.\nHost 13 is interested in task 12.\nHost 0 is interested in task 5.\nHost 14 is interested in task 7.\nHost 14 is interested in task 5.\nHost 2 is interested in task 4.\nHost 8 is interested in task 3.\nHost 6 is interested in task 11.\nHost 13 is interested in task 5.\nHost 0 is interested in task 10.\nHost 4 is interested in task 3.\nHost 7 is interested in task 8.\nHost 11 is interested in task 0.\nHost 4 is interested in task 11.\nHost 13 is interested in task 8.\nHost 10 is interested in task 6.\nHost 4 is interested in task 7.\nHost 8 is interested in task 9.\nHost 3 is interested in task 12.\nHost 3 is interested in task 1.\nHost 5 is interested in task 2.\nHost 12 is interested in task 0.\nHost 9 is interested in task 6.\nHost 4 is interested in task 6.\nHost 6 is interested in task 9.\nHost 14 is interested in task 0.\nHost 3 is interested in task 11.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 11 is interested in task 7.\nHost 7 is interested in task 3.\nHost 14 is interested in task 11.\nHost 14 is interested in task 12.\nHost 9 is interested in task 10.\nHost 7 is interested in task 1.\nHost 8 is interested in task 1.\nHost 10 is interested in task 3.\nHost 11 is interested in task 4.\nHost 13 is interested in task 9.\nHost 10 is interested in task 2.\nHost 0 is interested in task 3.\nHost 8 is interested in task 10.\nHost 12 is interested in task 7.\nHost 0 is interested in task 11.\nHost 4 is interested in task 9.\nHost 4 is interested in task 8.\nHost 14 is interested in task 1.\nHost 8 is interested in task 7.\nHost 11 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 0.\nHost 9 is interested in task 3.\nHost 10 is interested in task 8.\nHost 3 is interested in task 0.\nHost 11 is interested in task 11.\nHost 3 is interested in task 4.\nHost 14 is interested in task 2.\nHost 0 is interested in task 4.\nHost 13 is interested in task 4.\nHost 0 is interested in task 8.\nHost 10 is interested in task 0.\nHost 9 is interested in task 1.\nHost 0 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 8.\nHost 7 is interested in task 5.\nHost 7 is interested in task 10.\nHost 4 is interested in task 10.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1158", "image": "data/matching/graph_visual/hard/graph1158.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 12 is interested in task 0.\nHost 12 is interested in task 13.\nHost 14 is interested in task 13.\nHost 4 is interested in task 10.\nHost 12 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 12.\nHost 8 is interested in task 3.\nHost 9 is interested in task 11.\nHost 3 is interested in task 2.\nHost 10 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 13.\nHost 9 is interested in task 14.\nHost 1 is interested in task 13.\nHost 3 is interested in task 12.\nHost 14 is interested in task 7.\nHost 6 is interested in task 9.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 1 is interested in task 11.\nHost 0 is interested in task 10.\nHost 12 is interested in task 8.\nHost 0 is interested in task 11.\nHost 8 is interested in task 5.\nHost 11 is interested in task 0.\nHost 2 is interested in task 14.\nHost 9 is interested in task 9.\nHost 8 is interested in task 11.\nHost 1 is interested in task 9.\nHost 11 is interested in task 6.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 8 is interested in task 4.\nHost 2 is interested in task 6.\nHost 0 is interested in task 12.\nHost 7 is interested in task 11.\nHost 6 is interested in task 5.\nHost 11 is interested in task 11.\nHost 10 is interested in task 4.\nHost 10 is interested in task 5.\nHost 8 is interested in task 1.\nHost 7 is interested in task 13.\nHost 5 is interested in task 5.\nHost 10 is interested in task 14.\nHost 2 is interested in task 9.\nHost 9 is interested in task 1.\nHost 2 is interested in task 4.\nHost 3 is interested in task 14.\nHost 4 is interested in task 4.\nHost 3 is interested in task 8.\nHost 11 is interested in task 2.\nHost 3 is interested in task 5.\nHost 8 is interested in task 12.\nHost 9 is interested in task 3.\nHost 9 is interested in task 7.\nHost 12 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 4.\nHost 9 is interested in task 13.\nHost 1 is interested in task 5.\nHost 10 is interested in task 6.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 11 is interested in task 8.\nHost 13 is interested in task 1.\nHost 0 is interested in task 14.\nHost 6 is interested in task 11.\nHost 8 is interested in task 14.\nHost 0 is interested in task 2.\nHost 8 is interested in task 0.\nHost 8 is interested in task 8.\nHost 14 is interested in task 6.\nHost 2 is interested in task 10.\nHost 10 is interested in task 12.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 8 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 8.\nHost 6 is interested in task 12.\nHost 8 is interested in task 9.\nHost 2 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph761", "image": "data/matching/graph_visual/hard/graph761.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 10.\nHost 3 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 12.\nHost 1 is interested in task 2.\nHost 11 is interested in task 1.\nHost 2 is interested in task 10.\nHost 3 is interested in task 13.\nHost 12 is interested in task 3.\nHost 3 is interested in task 9.\nHost 0 is interested in task 9.\nHost 12 is interested in task 13.\nHost 9 is interested in task 11.\nHost 11 is interested in task 5.\nHost 4 is interested in task 10.\nHost 4 is interested in task 11.\nHost 4 is interested in task 12.\nHost 11 is interested in task 11.\nHost 5 is interested in task 0.\nHost 9 is interested in task 1.\nHost 8 is interested in task 3.\nHost 5 is interested in task 8.\nHost 9 is interested in task 4.\nHost 12 is interested in task 7.\nHost 1 is interested in task 6.\nHost 10 is interested in task 3.\nHost 0 is interested in task 13.\nHost 3 is interested in task 12.\nHost 12 is interested in task 4.\nHost 8 is interested in task 12.\nHost 2 is interested in task 5.\nHost 7 is interested in task 13.\nHost 1 is interested in task 11.\nHost 3 is interested in task 8.\nHost 11 is interested in task 3.\nHost 5 is interested in task 9.\nHost 12 is interested in task 10.\nHost 9 is interested in task 5.\nHost 6 is interested in task 12.\nHost 12 is interested in task 6.\nHost 12 is interested in task 0.\nHost 8 is interested in task 10.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 11 is interested in task 10.\nHost 5 is interested in task 5.\nHost 3 is interested in task 4.\nHost 12 is interested in task 9.\nHost 11 is interested in task 4.\nHost 10 is interested in task 8.\nHost 12 is interested in task 1.\nHost 8 is interested in task 4.\nHost 12 is interested in task 2.\nHost 2 is interested in task 4.\nHost 10 is interested in task 1.\nHost 6 is interested in task 13.\nHost 5 is interested in task 3.\nHost 8 is interested in task 7.\nHost 8 is interested in task 9.\nHost 8 is interested in task 5.\nHost 9 is interested in task 8.\nHost 5 is interested in task 1.\nHost 8 is interested in task 2.\nHost 1 is interested in task 7.\nHost 2 is interested in task 0.\nHost 2 is interested in task 2.\nHost 2 is interested in task 13.\nHost 3 is interested in task 7.\nHost 0 is interested in task 5.\nHost 8 is interested in task 0.\nHost 5 is interested in task 6.\nHost 1 is interested in task 12.\nHost 4 is interested in task 1.\nHost 9 is interested in task 7.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph325", "image": "data/matching/graph_visual/hard/graph325.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 7 is interested in task 7.\nHost 10 is interested in task 6.\nHost 3 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 3.\nHost 1 is interested in task 7.\nHost 10 is interested in task 4.\nHost 0 is interested in task 6.\nHost 4 is interested in task 7.\nHost 1 is interested in task 5.\nHost 2 is interested in task 10.\nHost 0 is interested in task 8.\nHost 0 is interested in task 5.\nHost 2 is interested in task 8.\nHost 10 is interested in task 9.\nHost 5 is interested in task 9.\nHost 1 is interested in task 9.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 10 is interested in task 5.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 8 is interested in task 6.\nHost 4 is interested in task 0.\nHost 10 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 8.\nHost 9 is interested in task 2.\nHost 7 is interested in task 1.\nHost 1 is interested in task 1.\nHost 6 is interested in task 9.\nHost 9 is interested in task 10.\nHost 6 is interested in task 1.\nHost 10 is interested in task 7.\nHost 9 is interested in task 5.\nHost 9 is interested in task 6.\nHost 7 is interested in task 6.\nHost 9 is interested in task 3.\nHost 9 is interested in task 7.\nHost 6 is interested in task 5.\nHost 7 is interested in task 5.\nHost 7 is interested in task 3.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph429", "image": "data/matching/graph_visual/hard/graph429.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 6 is interested in task 7.\nHost 4 is interested in task 2.\nHost 9 is interested in task 1.\nHost 11 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 7.\nHost 11 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 9 is interested in task 6.\nHost 11 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 0.\nHost 5 is interested in task 1.\nHost 7 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 2.\nHost 11 is interested in task 2.\nHost 2 is interested in task 4.\nHost 11 is interested in task 1.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 6 is interested in task 0.\nHost 11 is interested in task 6.\nHost 4 is interested in task 8.\nHost 1 is interested in task 0.\nHost 8 is interested in task 7.\nHost 0 is interested in task 0.\nHost 10 is interested in task 3.\nHost 9 is interested in task 7.\nHost 9 is interested in task 5.\nHost 7 is interested in task 5.\nHost 10 is interested in task 5.\nHost 0 is interested in task 3.\nHost 10 is interested in task 2.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 6 is interested in task 4.\nHost 5 is interested in task 7.\nHost 0 is interested in task 5.\nHost 9 is interested in task 3.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph837", "image": "data/matching/graph_visual/hard/graph837.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 10.\nHost 7 is interested in task 9.\nHost 10 is interested in task 14.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 8 is interested in task 3.\nHost 1 is interested in task 2.\nHost 6 is interested in task 15.\nHost 8 is interested in task 7.\nHost 4 is interested in task 13.\nHost 0 is interested in task 8.\nHost 5 is interested in task 1.\nHost 9 is interested in task 9.\nHost 8 is interested in task 0.\nHost 9 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 10.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 6 is interested in task 12.\nHost 4 is interested in task 10.\nHost 4 is interested in task 12.\nHost 5 is interested in task 8.\nHost 1 is interested in task 9.\nHost 6 is interested in task 14.\nHost 9 is interested in task 10.\nHost 1 is interested in task 7.\nHost 8 is interested in task 8.\nHost 11 is interested in task 6.\nHost 6 is interested in task 9.\nHost 3 is interested in task 7.\nHost 4 is interested in task 11.\nHost 1 is interested in task 12.\nHost 1 is interested in task 8.\nHost 7 is interested in task 3.\nHost 0 is interested in task 11.\nHost 11 is interested in task 7.\nHost 5 is interested in task 13.\nHost 9 is interested in task 2.\nHost 3 is interested in task 13.\nHost 6 is interested in task 4.\nHost 4 is interested in task 3.\nHost 1 is interested in task 14.\nHost 2 is interested in task 14.\nHost 2 is interested in task 6.\nHost 9 is interested in task 6.\nHost 0 is interested in task 1.\nHost 12 is interested in task 5.\nHost 12 is interested in task 15.\nHost 8 is interested in task 9.\nHost 8 is interested in task 10.\nHost 12 is interested in task 9.\nHost 10 is interested in task 9.\nHost 10 is interested in task 11.\nHost 10 is interested in task 13.\nHost 4 is interested in task 4.\nHost 5 is interested in task 15.\nHost 4 is interested in task 6.\nHost 4 is interested in task 15.\nHost 2 is interested in task 8.\nHost 5 is interested in task 11.\nHost 10 is interested in task 12.\nHost 11 is interested in task 4.\nHost 10 is interested in task 7.\nHost 6 is interested in task 6.\nHost 8 is interested in task 5.\nHost 3 is interested in task 9.\nHost 10 is interested in task 15.\nHost 1 is interested in task 6.\nHost 5 is interested in task 4.\nHost 10 is interested in task 8.\nHost 9 is interested in task 13.\nHost 6 is interested in task 3.\nHost 8 is interested in task 11.\nHost 7 is interested in task 2.\nHost 4 is interested in task 2.\nHost 10 is interested in task 10.\nHost 8 is interested in task 4.\nHost 2 is interested in task 11.\nHost 5 is interested in task 12.\nHost 0 is interested in task 6.\nHost 1 is interested in task 0.\nHost 1 is interested in task 10.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph857", "image": "data/matching/graph_visual/hard/graph857.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 6 is interested in task 9.\nHost 0 is interested in task 6.\nHost 7 is interested in task 7.\nHost 13 is interested in task 10.\nHost 7 is interested in task 8.\nHost 1 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 5.\nHost 10 is interested in task 5.\nHost 12 is interested in task 1.\nHost 1 is interested in task 0.\nHost 11 is interested in task 9.\nHost 0 is interested in task 1.\nHost 13 is interested in task 6.\nHost 9 is interested in task 1.\nHost 10 is interested in task 6.\nHost 0 is interested in task 3.\nHost 8 is interested in task 2.\nHost 2 is interested in task 6.\nHost 3 is interested in task 8.\nHost 7 is interested in task 2.\nHost 12 is interested in task 4.\nHost 5 is interested in task 10.\nHost 1 is interested in task 2.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 13 is interested in task 0.\nHost 5 is interested in task 3.\nHost 0 is interested in task 8.\nHost 3 is interested in task 1.\nHost 9 is interested in task 7.\nHost 5 is interested in task 9.\nHost 4 is interested in task 0.\nHost 3 is interested in task 0.\nHost 11 is interested in task 0.\nHost 11 is interested in task 6.\nHost 9 is interested in task 6.\nHost 10 is interested in task 1.\nHost 6 is interested in task 4.\nHost 8 is interested in task 10.\nHost 7 is interested in task 6.\nHost 13 is interested in task 8.\nHost 3 is interested in task 3.\nHost 0 is interested in task 5.\nHost 11 is interested in task 8.\nHost 13 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 9.\nHost 8 is interested in task 3.\nHost 8 is interested in task 8.\nHost 5 is interested in task 7.\nHost 9 is interested in task 2.\nHost 11 is interested in task 7.\nHost 6 is interested in task 8.\nHost 0 is interested in task 2.\nHost 11 is interested in task 1.\nHost 3 is interested in task 2.\nHost 9 is interested in task 9.\nHost 12 is interested in task 10.\nHost 12 is interested in task 2.\nHost 1 is interested in task 3.\nHost 6 is interested in task 10.\nHost 7 is interested in task 0.\nHost 13 is interested in task 9.\nHost 5 is interested in task 1.\nHost 12 is interested in task 5.\nHost 6 is interested in task 3.\nHost 9 is interested in task 0.\nHost 2 is interested in task 8.\nHost 11 is interested in task 3.\nHost 0 is interested in task 10.\nHost 4 is interested in task 5.\nHost 13 is interested in task 2.\nHost 1 is interested in task 8.\nHost 8 is interested in task 0.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph959", "image": "data/matching/graph_visual/hard/graph959.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 11.\nHost 3 is interested in task 12.\nHost 1 is interested in task 13.\nHost 11 is interested in task 11.\nHost 10 is interested in task 6.\nHost 2 is interested in task 5.\nHost 10 is interested in task 2.\nHost 12 is interested in task 9.\nHost 3 is interested in task 3.\nHost 4 is interested in task 11.\nHost 13 is interested in task 9.\nHost 3 is interested in task 4.\nHost 9 is interested in task 5.\nHost 8 is interested in task 8.\nHost 8 is interested in task 4.\nHost 13 is interested in task 1.\nHost 0 is interested in task 7.\nHost 13 is interested in task 8.\nHost 9 is interested in task 4.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 9 is interested in task 6.\nHost 4 is interested in task 0.\nHost 0 is interested in task 8.\nHost 13 is interested in task 7.\nHost 1 is interested in task 10.\nHost 10 is interested in task 1.\nHost 12 is interested in task 0.\nHost 4 is interested in task 13.\nHost 9 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 10.\nHost 6 is interested in task 9.\nHost 2 is interested in task 1.\nHost 10 is interested in task 3.\nHost 8 is interested in task 9.\nHost 2 is interested in task 8.\nHost 11 is interested in task 6.\nHost 13 is interested in task 12.\nHost 8 is interested in task 12.\nHost 12 is interested in task 6.\nHost 8 is interested in task 0.\nHost 11 is interested in task 5.\nHost 5 is interested in task 4.\nHost 7 is interested in task 4.\nHost 13 is interested in task 5.\nHost 4 is interested in task 10.\nHost 4 is interested in task 2.\nHost 0 is interested in task 0.\nHost 13 is interested in task 10.\nHost 12 is interested in task 8.\nHost 12 is interested in task 13.\nHost 6 is interested in task 8.\nHost 0 is interested in task 10.\nHost 7 is interested in task 8.\nHost 13 is interested in task 2.\nHost 8 is interested in task 6.\nHost 13 is interested in task 11.\nHost 12 is interested in task 10.\nHost 2 is interested in task 3.\nHost 2 is interested in task 12.\nHost 0 is interested in task 11.\nHost 8 is interested in task 7.\nHost 10 is interested in task 7.\nHost 4 is interested in task 8.\nHost 6 is interested in task 12.\nHost 1 is interested in task 11.\nHost 10 is interested in task 11.\nHost 1 is interested in task 8.\nHost 9 is interested in task 8.\nHost 7 is interested in task 2.\nHost 12 is interested in task 3.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 12 is interested in task 4.\nHost 8 is interested in task 5.\nHost 6 is interested in task 2.\nHost 10 is interested in task 10.\nHost 4 is interested in task 5.\nHost 13 is interested in task 0.\nHost 9 is interested in task 10.\nHost 11 is interested in task 4.\nHost 11 is interested in task 7.\nHost 3 is interested in task 5.\nHost 4 is interested in task 4.\nHost 12 is interested in task 7.\nHost 3 is interested in task 7.\nHost 7 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1240", "image": "data/matching/graph_visual/hard/graph1240.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 15.\nHost 3 is interested in task 12.\nHost 1 is interested in task 15.\nHost 1 is interested in task 3.\nHost 5 is interested in task 1.\nHost 8 is interested in task 7.\nHost 5 is interested in task 3.\nHost 1 is interested in task 8.\nHost 0 is interested in task 4.\nHost 0 is interested in task 14.\nHost 10 is interested in task 4.\nHost 10 is interested in task 12.\nHost 12 is interested in task 10.\nHost 4 is interested in task 13.\nHost 14 is interested in task 12.\nHost 10 is interested in task 10.\nHost 5 is interested in task 2.\nHost 6 is interested in task 5.\nHost 5 is interested in task 8.\nHost 4 is interested in task 5.\nHost 2 is interested in task 17.\nHost 10 is interested in task 7.\nHost 12 is interested in task 12.\nHost 8 is interested in task 10.\nHost 0 is interested in task 16.\nHost 3 is interested in task 5.\nHost 3 is interested in task 15.\nHost 3 is interested in task 4.\nHost 2 is interested in task 15.\nHost 0 is interested in task 2.\nHost 3 is interested in task 1.\nHost 9 is interested in task 11.\nHost 12 is interested in task 6.\nHost 7 is interested in task 15.\nHost 12 is interested in task 4.\nHost 6 is interested in task 12.\nHost 9 is interested in task 5.\nHost 6 is interested in task 16.\nHost 8 is interested in task 17.\nHost 1 is interested in task 9.\nHost 3 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 17.\nHost 2 is interested in task 11.\nHost 7 is interested in task 10.\nHost 2 is interested in task 5.\nHost 0 is interested in task 8.\nHost 11 is interested in task 5.\nHost 4 is interested in task 8.\nHost 10 is interested in task 0.\nHost 2 is interested in task 4.\nHost 7 is interested in task 1.\nHost 5 is interested in task 16.\nHost 12 is interested in task 17.\nHost 8 is interested in task 13.\nHost 4 is interested in task 6.\nHost 10 is interested in task 16.\nHost 6 is interested in task 10.\nHost 2 is interested in task 9.\nHost 8 is interested in task 12.\nHost 12 is interested in task 2.\nHost 14 is interested in task 3.\nHost 14 is interested in task 4.\nHost 6 is interested in task 6.\nHost 2 is interested in task 10.\nHost 7 is interested in task 13.\nHost 5 is interested in task 7.\nHost 2 is interested in task 16.\nHost 4 is interested in task 16.\nHost 2 is interested in task 2.\nHost 13 is interested in task 15.\nHost 5 is interested in task 5.\nHost 9 is interested in task 0.\nHost 7 is interested in task 0.\nHost 12 is interested in task 13.\nHost 5 is interested in task 6.\nHost 0 is interested in task 13.\nHost 3 is interested in task 17.\nHost 8 is interested in task 4.\nHost 6 is interested in task 15.\nHost 12 is interested in task 7.\nHost 8 is interested in task 8.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1.\nHost 9 is interested in task 16.\nHost 12 is interested in task 1.\nHost 14 is interested in task 2.\nHost 9 is interested in task 1.\nHost 5 is interested in task 12.\nHost 1 is interested in task 14.\nHost 7 is interested in task 9.\nHost 6 is interested in task 9.\nHost 2 is interested in task 14.\nHost 9 is interested in task 7.\nHost 13 is interested in task 9.\nHost 2 is interested in task 1.\nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 9 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph178", "image": "data/matching/graph_visual/hard/graph178.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 9.\nHost 5 is interested in task 11.\nHost 5 is interested in task 6.\nHost 3 is interested in task 11.\nHost 0 is interested in task 0.\nHost 4 is interested in task 0.\nHost 9 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 8 is interested in task 7.\nHost 4 is interested in task 2.\nHost 9 is interested in task 1.\nHost 2 is interested in task 11.\nHost 6 is interested in task 5.\nHost 3 is interested in task 4.\nHost 2 is interested in task 9.\nHost 4 is interested in task 9.\nHost 2 is interested in task 0.\nHost 9 is interested in task 2.\nHost 7 is interested in task 7.\nHost 7 is interested in task 0.\nHost 4 is interested in task 11.\nHost 4 is interested in task 6.\nHost 6 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 6.\nHost 1 is interested in task 6.\nHost 9 is interested in task 6.\nHost 9 is interested in task 10.\nHost 4 is interested in task 7.\nHost 8 is interested in task 2.\nHost 1 is interested in task 8.\nHost 2 is interested in task 2.\nHost 7 is interested in task 4.\nHost 3 is interested in task 6.\nHost 6 is interested in task 8.\nHost 4 is interested in task 3.\nHost 7 is interested in task 11.\nHost 2 is interested in task 7.\nHost 4 is interested in task 5.\nHost 5 is interested in task 10.\nHost 8 is interested in task 1.\nHost 2 is interested in task 3.\nHost 2 is interested in task 10.\nHost 1 is interested in task 5.\nHost 1 is interested in task 10.\nHost 9 is interested in task 11.\nHost 1 is interested in task 11.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph988", "image": "data/matching/graph_visual/hard/graph988.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 10 is interested in task 10.\nHost 13 is interested in task 12.\nHost 2 is interested in task 1.\nHost 13 is interested in task 8.\nHost 0 is interested in task 10.\nHost 2 is interested in task 12.\nHost 8 is interested in task 9.\nHost 9 is interested in task 3.\nHost 6 is interested in task 2.\nHost 6 is interested in task 14.\nHost 0 is interested in task 12.\nHost 10 is interested in task 11.\nHost 0 is interested in task 13.\nHost 6 is interested in task 13.\nHost 0 is interested in task 5.\nHost 11 is interested in task 12.\nHost 12 is interested in task 12.\nHost 9 is interested in task 5.\nHost 8 is interested in task 10.\nHost 11 is interested in task 0.\nHost 2 is interested in task 9.\nHost 6 is interested in task 12.\nHost 8 is interested in task 11.\nHost 2 is interested in task 8.\nHost 6 is interested in task 7.\nHost 8 is interested in task 5.\nHost 8 is interested in task 7.\nHost 4 is interested in task 8.\nHost 10 is interested in task 8.\nHost 12 is interested in task 14.\nHost 3 is interested in task 9.\nHost 0 is interested in task 14.\nHost 2 is interested in task 4.\nHost 1 is interested in task 7.\nHost 7 is interested in task 1.\nHost 13 is interested in task 1.\nHost 6 is interested in task 5.\nHost 0 is interested in task 4.\nHost 10 is interested in task 0.\nHost 8 is interested in task 4.\nHost 12 is interested in task 5.\nHost 2 is interested in task 0.\nHost 10 is interested in task 12.\nHost 5 is interested in task 8.\nHost 6 is interested in task 8.\nHost 6 is interested in task 11.\nHost 10 is interested in task 2.\nHost 4 is interested in task 14.\nHost 4 is interested in task 3.\nHost 10 is interested in task 14.\nHost 7 is interested in task 12.\nHost 9 is interested in task 10.\nHost 4 is interested in task 9.\nHost 0 is interested in task 9.\nHost 9 is interested in task 6.\nHost 7 is interested in task 3.\nHost 0 is interested in task 8.\nHost 5 is interested in task 14.\nHost 4 is interested in task 13.\nHost 4 is interested in task 12.\nHost 6 is interested in task 6.\nHost 6 is interested in task 10.\nHost 10 is interested in task 3.\nHost 7 is interested in task 10.\nHost 9 is interested in task 13.\nHost 2 is interested in task 11.\nHost 8 is interested in task 0.\nHost 9 is interested in task 2.\nHost 11 is interested in task 9.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph784", "image": "data/matching/graph_visual/hard/graph784.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 14.\nHost 2 is interested in task 14.\nHost 6 is interested in task 8.\nHost 1 is interested in task 14.\nHost 4 is interested in task 10.\nHost 11 is interested in task 5.\nHost 7 is interested in task 2.\nHost 7 is interested in task 8.\nHost 4 is interested in task 6.\nHost 0 is interested in task 0.\nHost 9 is interested in task 9.\nHost 9 is interested in task 4.\nHost 1 is interested in task 1.\nHost 10 is interested in task 14.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 11 is interested in task 14.\nHost 8 is interested in task 13.\nHost 5 is interested in task 13.\nHost 10 is interested in task 11.\nHost 2 is interested in task 12.\nHost 4 is interested in task 5.\nHost 1 is interested in task 11.\nHost 9 is interested in task 1.\nHost 0 is interested in task 1.\nHost 7 is interested in task 10.\nHost 6 is interested in task 7.\nHost 0 is interested in task 11.\nHost 5 is interested in task 1.\nHost 0 is interested in task 14.\nHost 7 is interested in task 12.\nHost 7 is interested in task 6.\nHost 8 is interested in task 9.\nHost 11 is interested in task 6.\nHost 9 is interested in task 3.\nHost 4 is interested in task 4.\nHost 5 is interested in task 10.\nHost 8 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 11.\nHost 0 is interested in task 13.\nHost 4 is interested in task 12.\nHost 4 is interested in task 0.\nHost 10 is interested in task 9.\nHost 3 is interested in task 7.\nHost 11 is interested in task 4.\nHost 7 is interested in task 1.\nHost 7 is interested in task 4.\nHost 12 is interested in task 2.\nHost 5 is interested in task 0.\nHost 9 is interested in task 7.\nHost 12 is interested in task 4.\nHost 3 is interested in task 6.\nHost 5 is interested in task 5.\nHost 10 is interested in task 0.\nHost 6 is interested in task 6.\nHost 10 is interested in task 8.\nHost 12 is interested in task 7.\nHost 0 is interested in task 9.\nHost 12 is interested in task 6.\nHost 3 is interested in task 14.\nHost 0 is interested in task 2.\nHost 0 is interested in task 10.\nHost 1 is interested in task 10.\nHost 11 is interested in task 0.\nHost 0 is interested in task 4.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph114", "image": "data/matching/graph_visual/hard/graph114.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 7 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 5.\nHost 6 is interested in task 7.\nHost 8 is interested in task 6.\nHost 7 is interested in task 7.\nHost 5 is interested in task 6.\nHost 9 is interested in task 3.\nHost 3 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 1.\nHost 8 is interested in task 9.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 4 is interested in task 2.\nHost 7 is interested in task 2.\nHost 9 is interested in task 6.\nHost 2 is interested in task 9.\nHost 5 is interested in task 2.\nHost 2 is interested in task 3.\nHost 9 is interested in task 7.\nHost 1 is interested in task 9.\nHost 9 is interested in task 1.\nHost 0 is interested in task 3.\nHost 8 is interested in task 7.\nHost 1 is interested in task 0.\nHost 5 is interested in task 8.\nHost 7 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 8 is interested in task 5.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 9 is interested in task 4.\nHost 3 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph333", "image": "data/matching/graph_visual/hard/graph333.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 5.\nHost 8 is interested in task 10.\nHost 4 is interested in task 1.\nHost 4 is interested in task 6.\nHost 10 is interested in task 5.\nHost 4 is interested in task 5.\nHost 5 is interested in task 1.\nHost 10 is interested in task 1.\nHost 9 is interested in task 10.\nHost 2 is interested in task 11.\nHost 10 is interested in task 2.\nHost 1 is interested in task 4.\nHost 4 is interested in task 3.\nHost 1 is interested in task 7.\nHost 0 is interested in task 3.\nHost 7 is interested in task 3.\nHost 0 is interested in task 10.\nHost 0 is interested in task 1.\nHost 8 is interested in task 11.\nHost 10 is interested in task 6.\nHost 5 is interested in task 0.\nHost 7 is interested in task 8.\nHost 4 is interested in task 9.\nHost 4 is interested in task 10.\nHost 2 is interested in task 9.\nHost 7 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 8 is interested in task 8.\nHost 2 is interested in task 8.\nHost 8 is interested in task 0.\nHost 8 is interested in task 6.\nHost 9 is interested in task 8.\nHost 1 is interested in task 9.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 5 is interested in task 10.\nHost 1 is interested in task 0.\nHost 8 is interested in task 5.\nHost 3 is interested in task 0.\nHost 8 is interested in task 2.\nHost 5 is interested in task 2.\nHost 7 is interested in task 2.\nHost 2 is interested in task 7.\nHost 1 is interested in task 10.\nHost 5 is interested in task 4.\nHost 9 is interested in task 3.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1.\nHost 10 is interested in task 3.\nHost 9 is interested in task 2.\nHost 0 is interested in task 8.\nHost 5 is interested in task 9.\nHost 4 is interested in task 11.\nHost 1 is interested in task 2.\nHost 3 is interested in task 10.\nHost 8 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph512", "image": "data/matching/graph_visual/hard/graph512.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 8 is interested in task 0.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 1 is interested in task 0.\nHost 0 is interested in task 6.\nHost 9 is interested in task 9.\nHost 8 is interested in task 11.\nHost 1 is interested in task 8.\nHost 7 is interested in task 10.\nHost 8 is interested in task 1.\nHost 7 is interested in task 2.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6.\nHost 1 is interested in task 1.\nHost 7 is interested in task 5.\nHost 11 is interested in task 6.\nHost 1 is interested in task 5.\nHost 11 is interested in task 2.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 8 is interested in task 7.\nHost 7 is interested in task 0.\nHost 6 is interested in task 0.\nHost 7 is interested in task 11.\nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 7.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 1 is interested in task 9.\nHost 6 is interested in task 3.\nHost 2 is interested in task 4.\nHost 3 is interested in task 3.\nHost 4 is interested in task 8.\nHost 0 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 5.\nHost 4 is interested in task 10.\nHost 4 is interested in task 7.\nHost 7 is interested in task 9.\nHost 10 is interested in task 6.\nHost 5 is interested in task 11.\nHost 1 is interested in task 11.\nHost 0 is interested in task 4.\nHost 10 is interested in task 8.\nHost 2 is interested in task 7.\nHost 11 is interested in task 10.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1214", "image": "data/matching/graph_visual/hard/graph1214.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 8 is interested in task 12.\nHost 14 is interested in task 10.\nHost 8 is interested in task 9.\nHost 6 is interested in task 8.\nHost 6 is interested in task 15.\nHost 13 is interested in task 13.\nHost 6 is interested in task 3.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 8 is interested in task 10.\nHost 5 is interested in task 9.\nHost 6 is interested in task 0.\nHost 6 is interested in task 11.\nHost 6 is interested in task 1.\nHost 3 is interested in task 2.\nHost 5 is interested in task 11.\nHost 4 is interested in task 8.\nHost 12 is interested in task 5.\nHost 7 is interested in task 13.\nHost 11 is interested in task 5.\nHost 4 is interested in task 6.\nHost 11 is interested in task 4.\nHost 2 is interested in task 9.\nHost 1 is interested in task 1.\nHost 5 is interested in task 0.\nHost 3 is interested in task 5.\nHost 6 is interested in task 5.\nHost 1 is interested in task 15.\nHost 8 is interested in task 2.\nHost 8 is interested in task 6.\nHost 13 is interested in task 14.\nHost 5 is interested in task 8.\nHost 7 is interested in task 0.\nHost 2 is interested in task 8.\nHost 13 is interested in task 5.\nHost 2 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 1.\nHost 6 is interested in task 7.\nHost 7 is interested in task 5.\nHost 9 is interested in task 8.\nHost 6 is interested in task 2.\nHost 3 is interested in task 13.\nHost 14 is interested in task 16.\nHost 14 is interested in task 6.\nHost 13 is interested in task 7.\nHost 14 is interested in task 2.\nHost 7 is interested in task 6.\nHost 8 is interested in task 8.\nHost 7 is interested in task 4.\nHost 2 is interested in task 13.\nHost 9 is interested in task 0.\nHost 14 is interested in task 14.\nHost 9 is interested in task 2.\nHost 3 is interested in task 14.\nHost 11 is interested in task 14.\nHost 14 is interested in task 0.\nHost 13 is interested in task 6.\nHost 2 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 6.\nHost 14 is interested in task 3.\nHost 5 is interested in task 4.\nHost 12 is interested in task 8.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 10 is interested in task 7.\nHost 12 is interested in task 3.\nHost 1 is interested in task 2.\nHost 10 is interested in task 15.\nHost 5 is interested in task 16.\nHost 6 is interested in task 14.\nHost 12 is interested in task 13.\nHost 4 is interested in task 5.\nHost 2 is interested in task 16.\nHost 0 is interested in task 1.\nHost 10 is interested in task 8.\nHost 8 is interested in task 0.\nHost 13 is interested in task 12.\nHost 10 is interested in task 9.\nHost 3 is interested in task 16.\nHost 0 is interested in task 3.\nHost 1 is interested in task 5.\nHost 10 is interested in task 16.\nHost 7 is interested in task 14.\nHost 2 is interested in task 12.\nHost 9 is interested in task 11.\nHost 6 is interested in task 13.\nHost 5 is interested in task 12.\nHost 3 is interested in task 8.\nHost 3 is interested in task 11.\nHost 13 is interested in task 11.\nHost 11 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph843", "image": "data/matching/graph_visual/hard/graph843.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 7 is interested in task 10.\nHost 4 is interested in task 8.\nHost 11 is interested in task 9.\nHost 4 is interested in task 2.\nHost 5 is interested in task 10.\nHost 3 is interested in task 8.\nHost 11 is interested in task 2.\nHost 0 is interested in task 8.\nHost 9 is interested in task 1.\nHost 8 is interested in task 8.\nHost 7 is interested in task 5.\nHost 7 is interested in task 7.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 10 is interested in task 3.\nHost 2 is interested in task 4.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 12 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 2.\nHost 3 is interested in task 10.\nHost 5 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 8.\nHost 3 is interested in task 7.\nHost 7 is interested in task 9.\nHost 4 is interested in task 4.\nHost 9 is interested in task 7.\nHost 10 is interested in task 8.\nHost 1 is interested in task 10.\nHost 1 is interested in task 1.\nHost 10 is interested in task 7.\nHost 6 is interested in task 3.\nHost 11 is interested in task 10.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 11 is interested in task 3.\nHost 5 is interested in task 4.\nHost 8 is interested in task 2.\nHost 13 is interested in task 5.\nHost 4 is interested in task 6.\nHost 4 is interested in task 7.\nHost 11 is interested in task 1.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 12 is interested in task 4.\nHost 2 is interested in task 8.\nHost 10 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 10.\nHost 13 is interested in task 3.\nHost 12 is interested in task 6.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph54", "image": "data/matching/graph_visual/hard/graph54.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 3.\nHost 4 is interested in task 3.\nHost 7 is interested in task 6.\nHost 6 is interested in task 5.\nHost 8 is interested in task 3.\nHost 5 is interested in task 4.\nHost 7 is interested in task 7.\nHost 6 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 8 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 3.\nHost 3 is interested in task 5.\nHost 4 is interested in task 5.\nHost 2 is interested in task 7.\nHost 6 is interested in task 7.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 2 is interested in task 1.\nHost 7 is interested in task 1.\nHost 5 is interested in task 7.\nHost 6 is interested in task 1.\nHost 6 is interested in task 4.\nHost 4 is interested in task 7.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 9 is interested in task 6.\nHost 2 is interested in task 6.\nHost 7 is interested in task 5.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 7 is interested in task 4.\nHost 0 is interested in task 7.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1028", "image": "data/matching/graph_visual/hard/graph1028.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 14.\nHost 8 is interested in task 8.\nHost 9 is interested in task 14.\nHost 9 is interested in task 6.\nHost 10 is interested in task 16.\nHost 4 is interested in task 0.\nHost 0 is interested in task 13.\nHost 6 is interested in task 11.\nHost 4 is interested in task 3.\nHost 9 is interested in task 9.\nHost 9 is interested in task 16.\nHost 7 is interested in task 2.\nHost 5 is interested in task 7.\nHost 8 is interested in task 15.\nHost 5 is interested in task 13.\nHost 11 is interested in task 15.\nHost 5 is interested in task 11.\nHost 7 is interested in task 5.\nHost 1 is interested in task 13.\nHost 10 is interested in task 1.\nHost 3 is interested in task 8.\nHost 6 is interested in task 14.\nHost 7 is interested in task 13.\nHost 9 is interested in task 10.\nHost 10 is interested in task 13.\nHost 5 is interested in task 10.\nHost 6 is interested in task 1.\nHost 3 is interested in task 9.\nHost 12 is interested in task 7.\nHost 2 is interested in task 10.\nHost 10 is interested in task 5.\nHost 11 is interested in task 0.\nHost 7 is interested in task 0.\nHost 10 is interested in task 11.\nHost 10 is interested in task 14.\nHost 8 is interested in task 12.\nHost 5 is interested in task 0.\nHost 5 is interested in task 8.\nHost 13 is interested in task 5.\nHost 4 is interested in task 15.\nHost 13 is interested in task 11.\nHost 11 is interested in task 8.\nHost 9 is interested in task 12.\nHost 5 is interested in task 1.\nHost 4 is interested in task 16.\nHost 12 is interested in task 8.\nHost 7 is interested in task 15.\nHost 9 is interested in task 1.\nHost 8 is interested in task 11.\nHost 11 is interested in task 1.\nHost 0 is interested in task 10.\nHost 8 is interested in task 6.\nHost 1 is interested in task 1.\nHost 13 is interested in task 9.\nHost 13 is interested in task 6.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 10 is interested in task 12.\nHost 1 is interested in task 2.\nHost 2 is interested in task 0.\nHost 9 is interested in task 5.\nHost 3 is interested in task 16.\nHost 13 is interested in task 2.\nHost 0 is interested in task 16.\nHost 6 is interested in task 8.\nHost 9 is interested in task 13.\nHost 11 is interested in task 4.\nHost 12 is interested in task 13.\nHost 12 is interested in task 11.\nHost 9 is interested in task 2.\nHost 5 is interested in task 15.\nHost 3 is interested in task 12.\nHost 4 is interested in task 7.\nHost 7 is interested in task 12.\nHost 5 is interested in task 6.\nHost 7 is interested in task 16.\nHost 5 is interested in task 9.\nHost 3 is interested in task 11.\nHost 4 is interested in task 12.\nHost 13 is interested in task 4.\nHost 2 is interested in task 7.\nHost 13 is interested in task 7.\nHost 9 is interested in task 15.\nHost 0 is interested in task 6.\nHost 9 is interested in task 11.\nHost 5 is interested in task 4.\nHost 11 is interested in task 16.\nHost 10 is interested in task 4.\nHost 7 is interested in task 3.\nHost 8 is interested in task 7.\nHost 2 is interested in task 15.\nHost 11 is interested in task 10.\nHost 5 is interested in task 16.\nHost 12 is interested in task 6.\nHost 4 is interested in task 6.\nHost 11 is interested in task 12.\nHost 3 is interested in task 15.\nHost 4 is interested in task 1.\nHost 7 is interested in task 11.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph116", "image": "data/matching/graph_visual/hard/graph116.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 9.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 6 is interested in task 9.\nHost 8 is interested in task 3.\nHost 0 is interested in task 2.\nHost 9 is interested in task 7.\nHost 8 is interested in task 9.\nHost 2 is interested in task 6.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4.\nHost 2 is interested in task 4.\nHost 8 is interested in task 0.\nHost 5 is interested in task 0.\nHost 4 is interested in task 9.\nHost 0 is interested in task 4.\nHost 0 is interested in task 3.\nHost 0 is interested in task 1.\nHost 6 is interested in task 4.\nHost 5 is interested in task 9.\nHost 1 is interested in task 5.\nHost 4 is interested in task 7.\nHost 7 is interested in task 8.\nHost 0 is interested in task 5.\nHost 1 is interested in task 7.\nHost 7 is interested in task 7.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 8.\nHost 0 is interested in task 8.\nHost 2 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 0.\nHost 9 is interested in task 8.\nHost 2 is interested in task 0.\nHost 9 is interested in task 4.\nHost 7 is interested in task 5.\nHost 6 is interested in task 8.\nHost 5 is interested in task 5.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1201", "image": "data/matching/graph_visual/hard/graph1201.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 9 is interested in task 5.\nHost 12 is interested in task 11.\nHost 5 is interested in task 2.\nHost 12 is interested in task 14.\nHost 3 is interested in task 4.\nHost 11 is interested in task 11.\nHost 8 is interested in task 6.\nHost 0 is interested in task 15.\nHost 9 is interested in task 1.\nHost 11 is interested in task 9.\nHost 0 is interested in task 8.\nHost 1 is interested in task 15.\nHost 6 is interested in task 7.\nHost 13 is interested in task 3.\nHost 4 is interested in task 14.\nHost 4 is interested in task 7.\nHost 1 is interested in task 4.\nHost 10 is interested in task 14.\nHost 8 is interested in task 0.\nHost 12 is interested in task 13.\nHost 1 is interested in task 10.\nHost 0 is interested in task 9.\nHost 12 is interested in task 4.\nHost 3 is interested in task 0.\nHost 10 is interested in task 1.\nHost 1 is interested in task 11.\nHost 4 is interested in task 12.\nHost 4 is interested in task 2.\nHost 13 is interested in task 14.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 7 is interested in task 14.\nHost 3 is interested in task 1.\nHost 1 is interested in task 6.\nHost 12 is interested in task 10.\nHost 6 is interested in task 9.\nHost 9 is interested in task 11.\nHost 12 is interested in task 9.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 7 is interested in task 11.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 4.\nHost 7 is interested in task 3.\nHost 7 is interested in task 1.\nHost 7 is interested in task 12.\nHost 5 is interested in task 13.\nHost 4 is interested in task 8.\nHost 11 is interested in task 12.\nHost 10 is interested in task 2.\nHost 3 is interested in task 14.\nHost 12 is interested in task 6.\nHost 7 is interested in task 0.\nHost 3 is interested in task 16.\nHost 0 is interested in task 5.\nHost 4 is interested in task 0.\nHost 9 is interested in task 13.\nHost 7 is interested in task 4.\nHost 7 is interested in task 2.\nHost 4 is interested in task 9.\nHost 1 is interested in task 3.\nHost 12 is interested in task 2.\nHost 0 is interested in task 13.\nHost 7 is interested in task 6.\nHost 1 is interested in task 16.\nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 11.\nHost 9 is interested in task 3.\nHost 4 is interested in task 13.\nHost 14 is interested in task 6.\nHost 3 is interested in task 3.\nHost 13 is interested in task 5.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 9 is interested in task 0.\nHost 12 is interested in task 8.\nHost 11 is interested in task 8.\nHost 14 is interested in task 11.\nHost 13 is interested in task 2.\nHost 11 is interested in task 14.\nHost 7 is interested in task 13.\nHost 6 is interested in task 10.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 10 is interested in task 4.\nHost 5 is interested in task 12.\nHost 2 is interested in task 12.\nHost 3 is interested in task 13.\nHost 4 is interested in task 15.\nHost 3 is interested in task 8.\nHost 12 is interested in task 15.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 8 is interested in task 12.\nHost 5 is interested in task 7.\nHost 11 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph832", "image": "data/matching/graph_visual/hard/graph832.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 11 is interested in task 15.\nHost 7 is interested in task 1.\nHost 12 is interested in task 15.\nHost 9 is interested in task 3.\nHost 3 is interested in task 14.\nHost 7 is interested in task 5.\nHost 8 is interested in task 10.\nHost 9 is interested in task 7.\nHost 9 is interested in task 11.\nHost 3 is interested in task 7.\nHost 6 is interested in task 7.\nHost 4 is interested in task 12.\nHost 8 is interested in task 7.\nHost 11 is interested in task 3.\nHost 1 is interested in task 7.\nHost 3 is interested in task 11.\nHost 10 is interested in task 11.\nHost 12 is interested in task 9.\nHost 1 is interested in task 6.\nHost 3 is interested in task 12.\nHost 4 is interested in task 4.\nHost 0 is interested in task 12.\nHost 1 is interested in task 4.\nHost 5 is interested in task 10.\nHost 12 is interested in task 7.\nHost 5 is interested in task 2.\nHost 11 is interested in task 11.\nHost 3 is interested in task 2.\nHost 11 is interested in task 2.\nHost 9 is interested in task 8.\nHost 4 is interested in task 14.\nHost 10 is interested in task 15.\nHost 1 is interested in task 8.\nHost 12 is interested in task 12.\nHost 12 is interested in task 3.\nHost 2 is interested in task 3.\nHost 10 is interested in task 14.\nHost 6 is interested in task 10.\nHost 8 is interested in task 4.\nHost 10 is interested in task 13.\nHost 9 is interested in task 0.\nHost 5 is interested in task 11.\nHost 1 is interested in task 0.\nHost 4 is interested in task 8.\nHost 6 is interested in task 14.\nHost 12 is interested in task 4.\nHost 10 is interested in task 4.\nHost 8 is interested in task 15.\nHost 7 is interested in task 12.\nHost 10 is interested in task 2.\nHost 8 is interested in task 11.\nHost 2 is interested in task 5.\nHost 4 is interested in task 9.\nHost 2 is interested in task 8.\nHost 7 is interested in task 9.\nHost 4 is interested in task 15.\nHost 3 is interested in task 0.\nHost 7 is interested in task 4.\nHost 5 is interested in task 15.\nHost 10 is interested in task 10.\nHost 3 is interested in task 4.\nHost 7 is interested in task 0.\nHost 12 is interested in task 8.\nHost 5 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 14.\nHost 3 is interested in task 6.\nHost 12 is interested in task 14.\nHost 3 is interested in task 10.\nHost 4 is interested in task 11.\nHost 8 is interested in task 3.\nHost 7 is interested in task 13.\nHost 10 is interested in task 3.\nHost 10 is interested in task 12.\nHost 6 is interested in task 0.\nHost 8 is interested in task 12.\nHost 8 is interested in task 1.\nHost 2 is interested in task 4.\nHost 12 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph570", "image": "data/matching/graph_visual/hard/graph570.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 5 is interested in task 4.\nHost 4 is interested in task 13.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 9 is interested in task 7.\nHost 7 is interested in task 8.\nHost 6 is interested in task 11.\nHost 3 is interested in task 6.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 5.\nHost 10 is interested in task 6.\nHost 3 is interested in task 2.\nHost 1 is interested in task 8.\nHost 11 is interested in task 9.\nHost 3 is interested in task 12.\nHost 3 is interested in task 13.\nHost 10 is interested in task 0.\nHost 10 is interested in task 7.\nHost 10 is interested in task 1.\nHost 4 is interested in task 3.\nHost 8 is interested in task 3.\nHost 10 is interested in task 2.\nHost 10 is interested in task 5.\nHost 2 is interested in task 1.\nHost 2 is interested in task 11.\nHost 9 is interested in task 8.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 11 is interested in task 0.\nHost 6 is interested in task 7.\nHost 2 is interested in task 3.\nHost 6 is interested in task 5.\nHost 7 is interested in task 11.\nHost 7 is interested in task 13.\nHost 3 is interested in task 10.\nHost 11 is interested in task 2.\nHost 4 is interested in task 1.\nHost 9 is interested in task 13.\nHost 7 is interested in task 10.\nHost 0 is interested in task 12.\nHost 11 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 1.\nHost 4 is interested in task 12.\nHost 6 is interested in task 3.\nHost 1 is interested in task 13.\nHost 3 is interested in task 9.\nHost 0 is interested in task 8.\nHost 10 is interested in task 13.\nHost 11 is interested in task 7.\nHost 9 is interested in task 10.\nHost 1 is interested in task 12.\nHost 5 is interested in task 7.\nHost 0 is interested in task 3.\nHost 9 is interested in task 2.\nHost 1 is interested in task 3.\nHost 6 is interested in task 12.\nHost 11 is interested in task 4.\nHost 0 is interested in task 7.\nHost 6 is interested in task 8.\nHost 9 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 10.\nHost 11 is interested in task 11.\nHost 5 is interested in task 0.\nHost 1 is interested in task 4.\nHost 4 is interested in task 11.\nHost 9 is interested in task 1.\nHost 0 is interested in task 1.\nHost 10 is interested in task 8.\nHost 11 is interested in task 8.\nHost 5 is interested in task 10.\nHost 5 is interested in task 11.\nHost 5 is interested in task 13.\nHost 4 is interested in task 4.\nHost 1 is interested in task 11.\nHost 8 is interested in task 12.\nHost 6 is interested in task 4.\nHost 9 is interested in task 11.\nHost 0 is interested in task 6.\nHost 11 is interested in task 3.\nHost 3 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph28", "image": "data/matching/graph_visual/hard/graph28.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 0 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 3.\nHost 1 is interested in task 6.\nHost 4 is interested in task 2.\nHost 7 is interested in task 0.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 8 is interested in task 1.\nHost 6 is interested in task 2.\nHost 8 is interested in task 4.\nHost 1 is interested in task 1.\nHost 6 is interested in task 0.\nHost 7 is interested in task 2.\nHost 5 is interested in task 3.\nHost 8 is interested in task 3.\nHost 4 is interested in task 1.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 4.\nHost 3 is interested in task 4.\nHost 1 is interested in task 5.\nHost 5 is interested in task 0.\nHost 7 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph441", "image": "data/matching/graph_visual/hard/graph441.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 3.\nHost 1 is interested in task 3.\nHost 8 is interested in task 8.\nHost 4 is interested in task 8.\nHost 1 is interested in task 5.\nHost 8 is interested in task 5.\nHost 2 is interested in task 7.\nHost 4 is interested in task 0.\nHost 9 is interested in task 1.\nHost 8 is interested in task 7.\nHost 2 is interested in task 2.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 9 is interested in task 5.\nHost 10 is interested in task 7.\nHost 6 is interested in task 6.\nHost 7 is interested in task 7.\nHost 6 is interested in task 0.\nHost 8 is interested in task 2.\nHost 4 is interested in task 1.\nHost 10 is interested in task 1.\nHost 9 is interested in task 0.\nHost 6 is interested in task 8.\nHost 11 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 7.\nHost 11 is interested in task 5.\nHost 11 is interested in task 0.\nHost 5 is interested in task 2.\nHost 8 is interested in task 1.\nHost 3 is interested in task 8.\nHost 0 is interested in task 4.\nHost 11 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 4.\nHost 5 is interested in task 8.\nHost 1 is interested in task 8.\nHost 6 is interested in task 2.\nHost 2 is interested in task 8.\nHost 8 is interested in task 6.\nHost 5 is interested in task 7.\nHost 0 is interested in task 8.\nHost 2 is interested in task 1.\nHost 5 is interested in task 1.\nHost 11 is interested in task 1.\nHost 5 is interested in task 0.\nHost 5 is interested in task 6.\nHost 11 is interested in task 3.\nHost 1 is interested in task 2.\nHost 10 is interested in task 6.\nHost 5 is interested in task 5.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 5.\nHost 6 is interested in task 5.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1045", "image": "data/matching/graph_visual/hard/graph1045.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 6 is interested in task 10.\nHost 12 is interested in task 0.\nHost 13 is interested in task 10.\nHost 1 is interested in task 5.\nHost 2 is interested in task 10.\nHost 1 is interested in task 3.\nHost 1 is interested in task 7.\nHost 1 is interested in task 13.\nHost 1 is interested in task 4.\nHost 8 is interested in task 3.\nHost 5 is interested in task 4.\nHost 2 is interested in task 14.\nHost 11 is interested in task 8.\nHost 9 is interested in task 1.\nHost 0 is interested in task 16.\nHost 2 is interested in task 2.\nHost 6 is interested in task 0.\nHost 6 is interested in task 8.\nHost 4 is interested in task 8.\nHost 10 is interested in task 14.\nHost 12 is interested in task 9.\nHost 5 is interested in task 8.\nHost 11 is interested in task 16.\nHost 11 is interested in task 0.\nHost 13 is interested in task 3.\nHost 12 is interested in task 5.\nHost 3 is interested in task 5.\nHost 13 is interested in task 7.\nHost 6 is interested in task 4.\nHost 0 is interested in task 7.\nHost 13 is interested in task 11.\nHost 7 is interested in task 4.\nHost 1 is interested in task 2.\nHost 12 is interested in task 3.\nHost 0 is interested in task 5.\nHost 11 is interested in task 2.\nHost 7 is interested in task 8.\nHost 9 is interested in task 6.\nHost 3 is interested in task 15.\nHost 1 is interested in task 10.\nHost 4 is interested in task 0.\nHost 4 is interested in task 5.\nHost 0 is interested in task 10.\nHost 3 is interested in task 6.\nHost 11 is interested in task 1.\nHost 0 is interested in task 15.\nHost 11 is interested in task 13.\nHost 5 is interested in task 5.\nHost 10 is interested in task 7.\nHost 4 is interested in task 13.\nHost 8 is interested in task 12.\nHost 1 is interested in task 12.\nHost 10 is interested in task 3.\nHost 11 is interested in task 10.\nHost 9 is interested in task 7.\nHost 10 is interested in task 2.\nHost 5 is interested in task 7.\nHost 10 is interested in task 15.\nHost 7 is interested in task 0.\nHost 2 is interested in task 11.\nHost 10 is interested in task 5.\nHost 11 is interested in task 9.\nHost 4 is interested in task 15.\nHost 0 is interested in task 14.\nHost 5 is interested in task 9.\nHost 10 is interested in task 6.\nHost 6 is interested in task 6.\nHost 9 is interested in task 3.\nHost 0 is interested in task 9.\nHost 0 is interested in task 0.\nHost 6 is interested in task 5.\nHost 12 is interested in task 13.\nHost 6 is interested in task 15.\nHost 2 is interested in task 1.\nHost 9 is interested in task 16.\nHost 8 is interested in task 4.\nHost 7 is interested in task 11.\nHost 1 is interested in task 9.\nHost 12 is interested in task 12.\nHost 0 is interested in task 1.\nHost 0 is interested in task 11.\nHost 5 is interested in task 1.\nHost 6 is interested in task 7.\nHost 1 is interested in task 16.\nHost 9 is interested in task 13.\nHost 6 is interested in task 2.\nHost 2 is interested in task 5.\nHost 6 is interested in task 9.\nHost 9 is interested in task 11.\nHost 8 is interested in task 15.\nHost 0 is interested in task 2.\nHost 9 is interested in task 15.\nHost 1 is interested in task 14.\nHost 7 is interested in task 16.\nHost 4 is interested in task 12.\nHost 2 is interested in task 4.\nHost 10 is interested in task 1.\nHost 1 is interested in task 11.\nHost 1 is interested in task 0.\nHost 8 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1095", "image": "data/matching/graph_visual/hard/graph1095.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 9.\nHost 8 is interested in task 7.\nHost 0 is interested in task 5.\nHost 5 is interested in task 1.\nHost 7 is interested in task 12.\nHost 6 is interested in task 12.\nHost 1 is interested in task 6.\nHost 12 is interested in task 12.\nHost 14 is interested in task 8.\nHost 3 is interested in task 10.\nHost 10 is interested in task 11.\nHost 13 is interested in task 2.\nHost 7 is interested in task 10.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 1 is interested in task 8.\nHost 12 is interested in task 4.\nHost 12 is interested in task 2.\nHost 0 is interested in task 9.\nHost 12 is interested in task 5.\nHost 9 is interested in task 10.\nHost 8 is interested in task 0.\nHost 7 is interested in task 9.\nHost 14 is interested in task 12.\nHost 9 is interested in task 11.\nHost 6 is interested in task 1.\nHost 14 is interested in task 0.\nHost 3 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 7.\nHost 13 is interested in task 7.\nHost 9 is interested in task 6.\nHost 11 is interested in task 5.\nHost 1 is interested in task 9.\nHost 2 is interested in task 8.\nHost 10 is interested in task 5.\nHost 13 is interested in task 0.\nHost 0 is interested in task 12.\nHost 12 is interested in task 9.\nHost 5 is interested in task 6.\nHost 12 is interested in task 6.\nHost 12 is interested in task 11.\nHost 7 is interested in task 5.\nHost 4 is interested in task 5.\nHost 6 is interested in task 2.\nHost 10 is interested in task 0.\nHost 6 is interested in task 9.\nHost 13 is interested in task 3.\nHost 3 is interested in task 9.\nHost 12 is interested in task 3.\nHost 4 is interested in task 12.\nHost 0 is interested in task 2.\nHost 8 is interested in task 4.\nHost 10 is interested in task 3.\nHost 7 is interested in task 7.\nHost 11 is interested in task 2.\nHost 7 is interested in task 2.\nHost 1 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph722", "image": "data/matching/graph_visual/hard/graph722.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 9.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 0 is interested in task 12.\nHost 10 is interested in task 1.\nHost 5 is interested in task 4.\nHost 4 is interested in task 0.\nHost 8 is interested in task 10.\nHost 8 is interested in task 4.\nHost 6 is interested in task 11.\nHost 4 is interested in task 8.\nHost 1 is interested in task 1.\nHost 3 is interested in task 8.\nHost 7 is interested in task 3.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 2 is interested in task 6.\nHost 11 is interested in task 2.\nHost 8 is interested in task 7.\nHost 6 is interested in task 8.\nHost 8 is interested in task 8.\nHost 6 is interested in task 9.\nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 12 is interested in task 1.\nHost 3 is interested in task 12.\nHost 11 is interested in task 10.\nHost 8 is interested in task 5.\nHost 1 is interested in task 6.\nHost 1 is interested in task 8.\nHost 2 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 12.\nHost 9 is interested in task 10.\nHost 8 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 10.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 6 is interested in task 10.\nHost 0 is interested in task 5.\nHost 6 is interested in task 3.\nHost 8 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 8.\nHost 1 is interested in task 11.\nHost 9 is interested in task 3.\nHost 7 is interested in task 1.\nHost 0 is interested in task 8.\nHost 4 is interested in task 10.\nHost 10 is interested in task 8.\nHost 12 is interested in task 7.\nHost 8 is interested in task 2.\nHost 6 is interested in task 12.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 11 is interested in task 0.\nHost 6 is interested in task 5.\nHost 12 is interested in task 5.\nHost 4 is interested in task 1.\nHost 1 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph600", "image": "data/matching/graph_visual/hard/graph600.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 11 is interested in task 9.\nHost 0 is interested in task 6.\nHost 11 is interested in task 6.\nHost 7 is interested in task 5.\nHost 7 is interested in task 4.\nHost 2 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 3.\nHost 6 is interested in task 7.\nHost 8 is interested in task 6.\nHost 2 is interested in task 2.\nHost 1 is interested in task 12.\nHost 3 is interested in task 8.\nHost 1 is interested in task 0.\nHost 2 is interested in task 5.\nHost 1 is interested in task 9.\nHost 4 is interested in task 13.\nHost 5 is interested in task 13.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 0 is interested in task 8.\nHost 0 is interested in task 11.\nHost 11 is interested in task 4.\nHost 2 is interested in task 13.\nHost 0 is interested in task 10.\nHost 6 is interested in task 6.\nHost 2 is interested in task 11.\nHost 8 is interested in task 4.\nHost 9 is interested in task 14.\nHost 2 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 7.\nHost 10 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 12.\nHost 4 is interested in task 9.\nHost 10 is interested in task 6.\nHost 0 is interested in task 0.\nHost 6 is interested in task 4.\nHost 9 is interested in task 5.\nHost 8 is interested in task 5.\nHost 1 is interested in task 11.\nHost 3 is interested in task 1.\nHost 1 is interested in task 14.\nHost 7 is interested in task 13.\nHost 7 is interested in task 2.\nHost 4 is interested in task 8.\nHost 3 is interested in task 6.\nHost 11 is interested in task 14.\nHost 11 is interested in task 5.\nHost 4 is interested in task 10.\nHost 1 is interested in task 3.\nHost 4 is interested in task 2.\nHost 9 is interested in task 3.\nHost 10 is interested in task 12.\nHost 4 is interested in task 1.\nHost 1 is interested in task 8.\nHost 3 is interested in task 11.\nHost 9 is interested in task 9.\nHost 4 is interested in task 0.\nHost 5 is interested in task 2.\nHost 4 is interested in task 4.\nHost 10 is interested in task 1.\nHost 11 is interested in task 1.\nHost 0 is interested in task 12.\nHost 3 is interested in task 13.\nHost 0 is interested in task 14.\nHost 8 is interested in task 9.\nHost 11 is interested in task 10.\nHost 8 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph642", "image": "data/matching/graph_visual/hard/graph642.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 2 is interested in task 2.\nHost 11 is interested in task 2.\nHost 0 is interested in task 1.\nHost 9 is interested in task 6.\nHost 0 is interested in task 4.\nHost 3 is interested in task 3.\nHost 9 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 7.\nHost 10 is interested in task 9.\nHost 12 is interested in task 7.\nHost 7 is interested in task 8.\nHost 4 is interested in task 4.\nHost 6 is interested in task 6.\nHost 2 is interested in task 8.\nHost 6 is interested in task 4.\nHost 6 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 2.\nHost 7 is interested in task 5.\nHost 4 is interested in task 1.\nHost 10 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 9.\nHost 9 is interested in task 5.\nHost 2 is interested in task 5.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 9 is interested in task 4.\nHost 11 is interested in task 1.\nHost 3 is interested in task 2.\nHost 9 is interested in task 0.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 7 is interested in task 7.\nHost 5 is interested in task 4.\nHost 12 is interested in task 2.\nHost 11 is interested in task 3.\nHost 5 is interested in task 7.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8.\nHost 11 is interested in task 4.\nHost 11 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 4.\nHost 10 is interested in task 3.\nHost 3 is interested in task 4.\nHost 6 is interested in task 2.\nHost 7 is interested in task 6.\nHost 9 is interested in task 9.\nHost 0 is interested in task 6.\nHost 9 is interested in task 3.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 6 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph865", "image": "data/matching/graph_visual/hard/graph865.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 13 is interested in task 10.\nHost 13 is interested in task 6.\nHost 7 is interested in task 9.\nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 7 is interested in task 7.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 11 is interested in task 5.\nHost 3 is interested in task 8.\nHost 0 is interested in task 8.\nHost 13 is interested in task 1.\nHost 2 is interested in task 6.\nHost 13 is interested in task 7.\nHost 11 is interested in task 2.\nHost 3 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 9.\nHost 4 is interested in task 1.\nHost 13 is interested in task 4.\nHost 12 is interested in task 9.\nHost 8 is interested in task 5.\nHost 2 is interested in task 9.\nHost 10 is interested in task 3.\nHost 0 is interested in task 7.\nHost 1 is interested in task 4.\nHost 13 is interested in task 8.\nHost 10 is interested in task 5.\nHost 3 is interested in task 7.\nHost 0 is interested in task 10.\nHost 7 is interested in task 10.\nHost 5 is interested in task 6.\nHost 13 is interested in task 3.\nHost 0 is interested in task 6.\nHost 9 is interested in task 2.\nHost 9 is interested in task 6.\nHost 10 is interested in task 8.\nHost 2 is interested in task 3.\nHost 6 is interested in task 8.\nHost 9 is interested in task 3.\nHost 13 is interested in task 9.\nHost 10 is interested in task 7.\nHost 5 is interested in task 3.\nHost 2 is interested in task 10.\nHost 1 is interested in task 3.\nHost 1 is interested in task 10.\nHost 1 is interested in task 5.\nHost 7 is interested in task 8.\nHost 12 is interested in task 8.\nHost 12 is interested in task 1.\nHost 12 is interested in task 3.\nHost 6 is interested in task 4.\nHost 12 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 7 is interested in task 2.\nHost 9 is interested in task 4.\nHost 4 is interested in task 9.\nHost 6 is interested in task 2.\nHost 11 is interested in task 10.\nHost 11 is interested in task 3.\nHost 10 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph558", "image": "data/matching/graph_visual/hard/graph558.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 9 is interested in task 10.\nHost 1 is interested in task 6.\nHost 10 is interested in task 9.\nHost 10 is interested in task 10.\nHost 0 is interested in task 11.\nHost 7 is interested in task 1.\nHost 3 is interested in task 12.\nHost 7 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 10.\nHost 10 is interested in task 4.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 11 is interested in task 1.\nHost 7 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 4 is interested in task 9.\nHost 11 is interested in task 7.\nHost 1 is interested in task 8.\nHost 8 is interested in task 12.\nHost 3 is interested in task 3.\nHost 0 is interested in task 5.\nHost 6 is interested in task 1.\nHost 0 is interested in task 7.\nHost 10 is interested in task 12.\nHost 6 is interested in task 0.\nHost 3 is interested in task 4.\nHost 5 is interested in task 12.\nHost 9 is interested in task 12.\nHost 8 is interested in task 11.\nHost 11 is interested in task 6.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 1 is interested in task 9.\nHost 9 is interested in task 2.\nHost 1 is interested in task 2.\nHost 5 is interested in task 3.\nHost 10 is interested in task 3.\nHost 4 is interested in task 8.\nHost 7 is interested in task 10.\nHost 0 is interested in task 3.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4.\nHost 11 is interested in task 5.\nHost 5 is interested in task 8.\nHost 1 is interested in task 4.\nHost 11 is interested in task 10.\nHost 10 is interested in task 0.\nHost 6 is interested in task 5.\nHost 3 is interested in task 9.\nHost 6 is interested in task 11.\nHost 4 is interested in task 1.\nHost 4 is interested in task 6.\nHost 4 is interested in task 7.\nHost 1 is interested in task 1.\nHost 1 is interested in task 12.\nHost 2 is interested in task 8.\nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 10 is interested in task 11.\nHost 6 is interested in task 3.\nHost 5 is interested in task 11.\nHost 5 is interested in task 9.\nHost 5 is interested in task 1.\nHost 9 is interested in task 8.\nHost 9 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph328", "image": "data/matching/graph_visual/hard/graph328.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 7.\nHost 2 is interested in task 5.\nHost 9 is interested in task 5.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 9.\nHost 9 is interested in task 8.\nHost 0 is interested in task 1.\nHost 5 is interested in task 10.\nHost 3 is interested in task 7.\nHost 9 is interested in task 6.\nHost 10 is interested in task 4.\nHost 0 is interested in task 6.\nHost 8 is interested in task 4.\nHost 1 is interested in task 4.\nHost 6 is interested in task 3.\nHost 0 is interested in task 5.\nHost 8 is interested in task 2.\nHost 9 is interested in task 10.\nHost 4 is interested in task 7.\nHost 8 is interested in task 3.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 9 is interested in task 9.\nHost 7 is interested in task 9.\nHost 0 is interested in task 9.\nHost 5 is interested in task 7.\nHost 1 is interested in task 3.\nHost 0 is interested in task 0.\nHost 9 is interested in task 1.\nHost 1 is interested in task 7.\nHost 3 is interested in task 8.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 10 is interested in task 0.\nHost 9 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 6.\nHost 0 is interested in task 2.\nHost 10 is interested in task 3.\nHost 2 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 2.\nHost 9 is interested in task 4.\nHost 6 is interested in task 9.\nHost 5 is interested in task 4.\nHost 8 is interested in task 7.\nHost 7 is interested in task 3.\nHost 9 is interested in task 2.\nHost 6 is interested in task 4.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph566", "image": "data/matching/graph_visual/hard/graph566.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 9.\nHost 9 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 9.\nHost 9 is interested in task 2.\nHost 3 is interested in task 12.\nHost 7 is interested in task 6.\nHost 2 is interested in task 10.\nHost 10 is interested in task 12.\nHost 5 is interested in task 1.\nHost 6 is interested in task 11.\nHost 7 is interested in task 0.\nHost 1 is interested in task 10.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 11 is interested in task 12.\nHost 0 is interested in task 3.\nHost 11 is interested in task 0.\nHost 5 is interested in task 8.\nHost 1 is interested in task 11.\nHost 11 is interested in task 4.\nHost 7 is interested in task 2.\nHost 2 is interested in task 9.\nHost 10 is interested in task 7.\nHost 11 is interested in task 3.\nHost 3 is interested in task 1.\nHost 2 is interested in task 7.\nHost 10 is interested in task 11.\nHost 9 is interested in task 12.\nHost 8 is interested in task 1.\nHost 4 is interested in task 8.\nHost 2 is interested in task 4.\nHost 10 is interested in task 10.\nHost 5 is interested in task 6.\nHost 6 is interested in task 4.\nHost 2 is interested in task 12.\nHost 7 is interested in task 4.\nHost 5 is interested in task 3.\nHost 3 is interested in task 8.\nHost 2 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 5.\nHost 11 is interested in task 11.\nHost 2 is interested in task 2.\nHost 2 is interested in task 11.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 3 is interested in task 11.\nHost 3 is interested in task 6.\nHost 1 is interested in task 4.\nHost 2 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3.\nHost 10 is interested in task 8.\nHost 0 is interested in task 1.\nHost 8 is interested in task 9.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 9 is interested in task 8.\nHost 10 is interested in task 1.\nHost 8 is interested in task 12.\nHost 1 is interested in task 0.\nHost 8 is interested in task 6.\nHost 1 is interested in task 12.\nHost 0 is interested in task 5.\nHost 7 is interested in task 11.\nHost 8 is interested in task 11.\nHost 9 is interested in task 4.\nHost 3 is interested in task 9.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph582", "image": "data/matching/graph_visual/hard/graph582.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 13.\nHost 11 is interested in task 2.\nHost 2 is interested in task 10.\nHost 11 is interested in task 10.\nHost 6 is interested in task 9.\nHost 2 is interested in task 11.\nHost 9 is interested in task 6.\nHost 7 is interested in task 5.\nHost 7 is interested in task 13.\nHost 1 is interested in task 3.\nHost 9 is interested in task 13.\nHost 6 is interested in task 12.\nHost 11 is interested in task 12.\nHost 3 is interested in task 5.\nHost 9 is interested in task 11.\nHost 3 is interested in task 8.\nHost 4 is interested in task 6.\nHost 10 is interested in task 9.\nHost 9 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 11.\nHost 9 is interested in task 10.\nHost 4 is interested in task 13.\nHost 10 is interested in task 0.\nHost 8 is interested in task 13.\nHost 1 is interested in task 1.\nHost 7 is interested in task 6.\nHost 8 is interested in task 3.\nHost 11 is interested in task 5.\nHost 11 is interested in task 4.\nHost 8 is interested in task 8.\nHost 1 is interested in task 0.\nHost 3 is interested in task 3.\nHost 9 is interested in task 7.\nHost 7 is interested in task 2.\nHost 10 is interested in task 1.\nHost 5 is interested in task 10.\nHost 10 is interested in task 2.\nHost 1 is interested in task 2.\nHost 10 is interested in task 11.\nHost 10 is interested in task 8.\nHost 8 is interested in task 4.\nHost 6 is interested in task 6.\nHost 4 is interested in task 11.\nHost 6 is interested in task 2.\nHost 1 is interested in task 13.\nHost 9 is interested in task 5.\nHost 0 is interested in task 12.\nHost 5 is interested in task 1.\nHost 10 is interested in task 3.\nHost 7 is interested in task 7.\nHost 2 is interested in task 2.\nHost 11 is interested in task 11.\nHost 11 is interested in task 1.\nHost 4 is interested in task 0.\nHost 6 is interested in task 4.\nHost 2 is interested in task 0.\nHost 2 is interested in task 5.\nHost 2 is interested in task 7.\nHost 7 is interested in task 4.\nHost 6 is interested in task 10.\nHost 11 is interested in task 6.\nHost 6 is interested in task 8.\nHost 2 is interested in task 12.\nHost 6 is interested in task 3.\nHost 4 is interested in task 12.\nHost 6 is interested in task 5.\nHost 7 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph151", "image": "data/matching/graph_visual/hard/graph151.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 3 is interested in task 3.\nHost 2 is interested in task 5.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 8 is interested in task 1.\nHost 6 is interested in task 8.\nHost 0 is interested in task 9.\nHost 9 is interested in task 0.\nHost 1 is interested in task 6.\nHost 6 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 6.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 5 is interested in task 7.\nHost 0 is interested in task 7.\nHost 7 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 10.\nHost 3 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 10.\nHost 9 is interested in task 4.\nHost 5 is interested in task 8.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 8 is interested in task 3.\nHost 8 is interested in task 0.\nHost 8 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 0.\nHost 9 is interested in task 1.\nHost 7 is interested in task 8.\nHost 1 is interested in task 10.\nHost 3 is interested in task 10.\nHost 9 is interested in task 8.\nHost 1 is interested in task 9.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph398", "image": "data/matching/graph_visual/hard/graph398.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 1 is interested in task 10.\nHost 3 is interested in task 7.\nHost 3 is interested in task 13.\nHost 0 is interested in task 1.\nHost 4 is interested in task 11.\nHost 3 is interested in task 2.\nHost 7 is interested in task 12.\nHost 0 is interested in task 9.\nHost 6 is interested in task 2.\nHost 5 is interested in task 3.\nHost 6 is interested in task 11.\nHost 6 is interested in task 1.\nHost 7 is interested in task 8.\nHost 5 is interested in task 8.\nHost 9 is interested in task 2.\nHost 5 is interested in task 1.\nHost 0 is interested in task 10.\nHost 4 is interested in task 1.\nHost 4 is interested in task 9.\nHost 8 is interested in task 12.\nHost 9 is interested in task 10.\nHost 0 is interested in task 7.\nHost 2 is interested in task 12.\nHost 1 is interested in task 0.\nHost 9 is interested in task 4.\nHost 4 is interested in task 8.\nHost 0 is interested in task 8.\nHost 2 is interested in task 9.\nHost 8 is interested in task 9.\nHost 1 is interested in task 8.\nHost 4 is interested in task 5.\nHost 9 is interested in task 0.\nHost 2 is interested in task 11.\nHost 2 is interested in task 8.\nHost 7 is interested in task 10.\nHost 10 is interested in task 4.\nHost 6 is interested in task 12.\nHost 6 is interested in task 3.\nHost 6 is interested in task 9.\nHost 7 is interested in task 0.\nHost 2 is interested in task 7.\nHost 0 is interested in task 2.\nHost 4 is interested in task 6.\nHost 4 is interested in task 2.\nHost 8 is interested in task 7.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 3 is interested in task 6.\nHost 7 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 5.\nHost 7 is interested in task 13.\nHost 4 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 12.\nHost 9 is interested in task 8.\nHost 3 is interested in task 12.\nHost 0 is interested in task 0.\nHost 7 is interested in task 1.\nHost 0 is interested in task 4.\nHost 8 is interested in task 6.\nHost 8 is interested in task 13.\nHost 0 is interested in task 13.\nHost 9 is interested in task 12.\nHost 4 is interested in task 0.\nHost 0 is interested in task 6.\nHost 9 is interested in task 11.\nHost 6 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph768", "image": "data/matching/graph_visual/hard/graph768.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 11 is interested in task 13.\nHost 6 is interested in task 11.\nHost 12 is interested in task 12.\nHost 12 is interested in task 3.\nHost 7 is interested in task 3.\nHost 9 is interested in task 5.\nHost 9 is interested in task 11.\nHost 12 is interested in task 1.\nHost 3 is interested in task 10.\nHost 7 is interested in task 5.\nHost 5 is interested in task 5.\nHost 0 is interested in task 7.\nHost 11 is interested in task 1.\nHost 12 is interested in task 2.\nHost 9 is interested in task 4.\nHost 9 is interested in task 10.\nHost 7 is interested in task 10.\nHost 0 is interested in task 9.\nHost 5 is interested in task 9.\nHost 1 is interested in task 11.\nHost 8 is interested in task 9.\nHost 11 is interested in task 8.\nHost 11 is interested in task 10.\nHost 0 is interested in task 12.\nHost 0 is interested in task 1.\nHost 6 is interested in task 13.\nHost 6 is interested in task 6.\nHost 8 is interested in task 6.\nHost 9 is interested in task 2.\nHost 10 is interested in task 1.\nHost 7 is interested in task 12.\nHost 3 is interested in task 6.\nHost 1 is interested in task 10.\nHost 7 is interested in task 9.\nHost 12 is interested in task 13.\nHost 2 is interested in task 10.\nHost 8 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 6.\nHost 4 is interested in task 0.\nHost 6 is interested in task 9.\nHost 8 is interested in task 8.\nHost 7 is interested in task 6.\nHost 5 is interested in task 10.\nHost 7 is interested in task 8.\nHost 7 is interested in task 1.\nHost 10 is interested in task 9.\nHost 12 is interested in task 7.\nHost 0 is interested in task 8.\nHost 12 is interested in task 11.\nHost 3 is interested in task 7.\nHost 12 is interested in task 10.\nHost 11 is interested in task 7.\nHost 2 is interested in task 13.\nHost 10 is interested in task 0.\nHost 2 is interested in task 4.\nHost 9 is interested in task 3.\nHost 8 is interested in task 13.\nHost 5 is interested in task 7.\nHost 1 is interested in task 9.\nHost 12 is interested in task 6.\nHost 2 is interested in task 8.\nHost 9 is interested in task 8.\nHost 7 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 6.\nHost 0 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph819", "image": "data/matching/graph_visual/hard/graph819.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 7 is interested in task 12.\nHost 2 is interested in task 1.\nHost 4 is interested in task 4.\nHost 11 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 1.\nHost 9 is interested in task 9.\nHost 7 is interested in task 8.\nHost 5 is interested in task 1.\nHost 8 is interested in task 15.\nHost 4 is interested in task 11.\nHost 3 is interested in task 4.\nHost 12 is interested in task 13.\nHost 0 is interested in task 2.\nHost 2 is interested in task 10.\nHost 6 is interested in task 14.\nHost 3 is interested in task 6.\nHost 0 is interested in task 0.\nHost 11 is interested in task 6.\nHost 8 is interested in task 2.\nHost 11 is interested in task 10.\nHost 8 is interested in task 14.\nHost 3 is interested in task 3.\nHost 7 is interested in task 14.\nHost 1 is interested in task 2.\nHost 7 is interested in task 15.\nHost 7 is interested in task 6.\nHost 8 is interested in task 9.\nHost 10 is interested in task 13.\nHost 12 is interested in task 7.\nHost 12 is interested in task 12.\nHost 4 is interested in task 13.\nHost 7 is interested in task 2.\nHost 10 is interested in task 2.\nHost 4 is interested in task 7.\nHost 9 is interested in task 6.\nHost 8 is interested in task 5.\nHost 0 is interested in task 10.\nHost 1 is interested in task 13.\nHost 9 is interested in task 15.\nHost 5 is interested in task 14.\nHost 12 is interested in task 10.\nHost 5 is interested in task 10.\nHost 0 is interested in task 5.\nHost 1 is interested in task 6.\nHost 11 is interested in task 11.\nHost 10 is interested in task 11.\nHost 9 is interested in task 3.\nHost 3 is interested in task 5.\nHost 10 is interested in task 3.\nHost 3 is interested in task 9.\nHost 11 is interested in task 3.\nHost 9 is interested in task 1.\nHost 2 is interested in task 8.\nHost 8 is interested in task 13.\nHost 11 is interested in task 12.\nHost 9 is interested in task 5.\nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 10 is interested in task 9.\nHost 3 is interested in task 13.\nHost 2 is interested in task 5.\nHost 3 is interested in task 14.\nHost 8 is interested in task 6.\nHost 3 is interested in task 10.\nHost 8 is interested in task 12.\nHost 9 is interested in task 4.\nHost 5 is interested in task 3.\nHost 7 is interested in task 11.\nHost 7 is interested in task 3.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9.\nHost 11 is interested in task 13.\nHost 4 is interested in task 12.\nHost 4 is interested in task 15.\nHost 2 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 0.\nHost 12 is interested in task 9.\nHost 10 is interested in task 12.\nHost 0 is interested in task 1.\nHost 6 is interested in task 3.\nHost 7 is interested in task 4.\nHost 9 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1179", "image": "data/matching/graph_visual/hard/graph1179.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 12 is interested in task 12.\nHost 7 is interested in task 8.\nHost 9 is interested in task 1.\nHost 1 is interested in task 7.\nHost 6 is interested in task 14.\nHost 3 is interested in task 5.\nHost 12 is interested in task 9.\nHost 5 is interested in task 1.\nHost 7 is interested in task 15.\nHost 7 is interested in task 1.\nHost 14 is interested in task 5.\nHost 5 is interested in task 10.\nHost 2 is interested in task 13.\nHost 4 is interested in task 11.\nHost 8 is interested in task 10.\nHost 1 is interested in task 13.\nHost 6 is interested in task 1.\nHost 5 is interested in task 11.\nHost 13 is interested in task 11.\nHost 11 is interested in task 12.\nHost 3 is interested in task 12.\nHost 7 is interested in task 6.\nHost 7 is interested in task 9.\nHost 4 is interested in task 15.\nHost 10 is interested in task 7.\nHost 13 is interested in task 10.\nHost 11 is interested in task 15.\nHost 0 is interested in task 12.\nHost 4 is interested in task 4.\nHost 7 is interested in task 14.\nHost 10 is interested in task 0.\nHost 1 is interested in task 8.\nHost 1 is interested in task 10.\nHost 3 is interested in task 13.\nHost 11 is interested in task 8.\nHost 6 is interested in task 4.\nHost 4 is interested in task 10.\nHost 0 is interested in task 15.\nHost 6 is interested in task 7.\nHost 12 is interested in task 0.\nHost 4 is interested in task 0.\nHost 7 is interested in task 2.\nHost 6 is interested in task 13.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 13 is interested in task 14.\nHost 0 is interested in task 11.\nHost 6 is interested in task 3.\nHost 4 is interested in task 1.\nHost 14 is interested in task 0.\nHost 9 is interested in task 3.\nHost 1 is interested in task 9.\nHost 9 is interested in task 13.\nHost 2 is interested in task 7.\nHost 4 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 13 is interested in task 12.\nHost 12 is interested in task 14.\nHost 13 is interested in task 4.\nHost 11 is interested in task 0.\nHost 2 is interested in task 10.\nHost 11 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 7.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 12.\nHost 0 is interested in task 4.\nHost 0 is interested in task 2.\nHost 12 is interested in task 4.\nHost 3 is interested in task 8.\nHost 1 is interested in task 15.\nHost 0 is interested in task 8.\nHost 4 is interested in task 6.\nHost 6 is interested in task 8.\nHost 5 is interested in task 9.\nHost 7 is interested in task 3.\nHost 9 is interested in task 5.\nHost 9 is interested in task 6.\nHost 7 is interested in task 13.\nHost 0 is interested in task 13.\nHost 11 is interested in task 10.\nHost 12 is interested in task 8.\nHost 0 is interested in task 3.\nHost 6 is interested in task 6.\nHost 6 is interested in task 9.\nHost 4 is interested in task 14.\nHost 0 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph285", "image": "data/matching/graph_visual/hard/graph285.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 8 is interested in task 9.\nHost 8 is interested in task 5.\nHost 10 is interested in task 8.\nHost 10 is interested in task 2.\nHost 1 is interested in task 0.\nHost 10 is interested in task 1.\nHost 2 is interested in task 6.\nHost 5 is interested in task 9.\nHost 7 is interested in task 2.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 3 is interested in task 9.\nHost 2 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 1.\nHost 0 is interested in task 9.\nHost 9 is interested in task 5.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 6 is interested in task 7.\nHost 10 is interested in task 4.\nHost 4 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 9.\nHost 6 is interested in task 9.\nHost 10 is interested in task 6.\nHost 6 is interested in task 5.\nHost 10 is interested in task 5.\nHost 0 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 7.\nHost 2 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 8.\nHost 2 is interested in task 0.\nHost 7 is interested in task 1.\nHost 4 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph720", "image": "data/matching/graph_visual/hard/graph720.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 4 is interested in task 12.\nHost 9 is interested in task 6.\nHost 11 is interested in task 2.\nHost 11 is interested in task 0.\nHost 12 is interested in task 6.\nHost 8 is interested in task 12.\nHost 2 is interested in task 12.\nHost 7 is interested in task 0.\nHost 6 is interested in task 11.\nHost 10 is interested in task 11.\nHost 0 is interested in task 4.\nHost 7 is interested in task 11.\nHost 12 is interested in task 5.\nHost 11 is interested in task 10.\nHost 12 is interested in task 9.\nHost 7 is interested in task 12.\nHost 2 is interested in task 11.\nHost 7 is interested in task 2.\nHost 7 is interested in task 8.\nHost 1 is interested in task 5.\nHost 1 is interested in task 9.\nHost 6 is interested in task 4.\nHost 2 is interested in task 3.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 4 is interested in task 9.\nHost 2 is interested in task 4.\nHost 11 is interested in task 7.\nHost 10 is interested in task 0.\nHost 7 is interested in task 3.\nHost 7 is interested in task 1.\nHost 12 is interested in task 3.\nHost 5 is interested in task 4.\nHost 6 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 11.\nHost 4 is interested in task 7.\nHost 0 is interested in task 9.\nHost 8 is interested in task 11.\nHost 2 is interested in task 5.\nHost 1 is interested in task 8.\nHost 9 is interested in task 9.\nHost 2 is interested in task 0.\nHost 1 is interested in task 10.\nHost 0 is interested in task 1.\nHost 4 is interested in task 5.\nHost 2 is interested in task 1.\nHost 2 is interested in task 10.\nHost 0 is interested in task 0.\nHost 2 is interested in task 8.\nHost 1 is interested in task 12.\nHost 8 is interested in task 6.\nHost 5 is interested in task 7.\nHost 6 is interested in task 8.\nHost 0 is interested in task 6.\nHost 8 is interested in task 7.\nHost 9 is interested in task 5.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 0 is interested in task 12.\nHost 0 is interested in task 8.\nHost 3 is interested in task 3.\nHost 1 is interested in task 11.\nHost 10 is interested in task 4.\nHost 1 is interested in task 1.\nHost 2 is interested in task 6.\nHost 0 is interested in task 10.\nHost 2 is interested in task 2.\nHost 11 is interested in task 1.\nHost 6 is interested in task 10.\nHost 6 is interested in task 1.\nHost 12 is interested in task 7.\nHost 6 is interested in task 7.\nHost 7 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1093", "image": "data/matching/graph_visual/hard/graph1093.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 9.\nHost 4 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 10.\nHost 1 is interested in task 7.\nHost 4 is interested in task 6.\nHost 9 is interested in task 11.\nHost 13 is interested in task 7.\nHost 12 is interested in task 11.\nHost 11 is interested in task 1.\nHost 3 is interested in task 11.\nHost 7 is interested in task 12.\nHost 7 is interested in task 9.\nHost 2 is interested in task 5.\nHost 5 is interested in task 8.\nHost 0 is interested in task 12.\nHost 5 is interested in task 6.\nHost 13 is interested in task 0.\nHost 11 is interested in task 9.\nHost 10 is interested in task 0.\nHost 10 is interested in task 3.\nHost 7 is interested in task 8.\nHost 2 is interested in task 7.\nHost 3 is interested in task 1.\nHost 11 is interested in task 10.\nHost 14 is interested in task 8.\nHost 6 is interested in task 4.\nHost 9 is interested in task 3.\nHost 7 is interested in task 2.\nHost 13 is interested in task 12.\nHost 9 is interested in task 4.\nHost 11 is interested in task 6.\nHost 2 is interested in task 10.\nHost 7 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 12.\nHost 12 is interested in task 8.\nHost 8 is interested in task 11.\nHost 6 is interested in task 2.\nHost 3 is interested in task 9.\nHost 10 is interested in task 1.\nHost 4 is interested in task 1.\nHost 7 is interested in task 7.\nHost 10 is interested in task 11.\nHost 5 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 12.\nHost 3 is interested in task 12.\nHost 12 is interested in task 2.\nHost 4 is interested in task 8.\nHost 7 is interested in task 4.\nHost 3 is interested in task 8.\nHost 12 is interested in task 7.\nHost 12 is interested in task 0.\nHost 2 is interested in task 11.\nHost 11 is interested in task 0.\nHost 8 is interested in task 7.\nHost 9 is interested in task 8.\nHost 1 is interested in task 5.\nHost 2 is interested in task 2.\nHost 10 is interested in task 2.\nHost 3 is interested in task 2.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 6 is interested in task 8.\nHost 0 is interested in task 0.\nHost 4 is interested in task 12.\nHost 11 is interested in task 4.\nHost 5 is interested in task 12.\nHost 13 is interested in task 8.\nHost 3 is interested in task 7.\nHost 14 is interested in task 1.\nHost 3 is interested in task 3.\nHost 11 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph12", "image": "data/matching/graph_visual/hard/graph12.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 3 is interested in task 6.\nHost 3 is interested in task 3.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 3 is interested in task 4.\nHost 1 is interested in task 6.\nHost 1 is interested in task 2.\nHost 2 is interested in task 6.\nHost 0 is interested in task 6.\nHost 9 is interested in task 4.\nHost 4 is interested in task 1.\nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 6 is interested in task 2.\nHost 2 is interested in task 2.\nHost 0 is interested in task 5.\nHost 7 is interested in task 3.\nHost 4 is interested in task 0.\nHost 1 is interested in task 3.\nHost 8 is interested in task 0.\nHost 9 is interested in task 0.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 8 is interested in task 4.\nHost 4 is interested in task 5.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 3 is interested in task 1.\nHost 7 is interested in task 0.\nHost 6 is interested in task 4.\nHost 1 is interested in task 5.\nHost 0 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 9 is interested in task 5.\nHost 1 is interested in task 4.\nHost 7 is interested in task 5.\nHost 9 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph118", "image": "data/matching/graph_visual/hard/graph118.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 8.\nHost 7 is interested in task 4.\nHost 8 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 2.\nHost 9 is interested in task 5.\nHost 8 is interested in task 6.\nHost 2 is interested in task 9.\nHost 8 is interested in task 0.\nHost 7 is interested in task 9.\nHost 5 is interested in task 2.\nHost 2 is interested in task 6.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 9 is interested in task 6.\nHost 8 is interested in task 8.\nHost 4 is interested in task 9.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 9 is interested in task 2.\nHost 8 is interested in task 9.\nHost 5 is interested in task 5.\nHost 1 is interested in task 1.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 3 is interested in task 0.\nHost 3 is interested in task 8.\nHost 9 is interested in task 4.\nHost 7 is interested in task 5.\nHost 6 is interested in task 0.\nHost 3 is interested in task 6.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 4 is interested in task 8.\nHost 2 is interested in task 4.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1171", "image": "data/matching/graph_visual/hard/graph1171.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 14.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 1 is interested in task 12.\nHost 6 is interested in task 9.\nHost 8 is interested in task 12.\nHost 1 is interested in task 6.\nHost 14 is interested in task 1.\nHost 3 is interested in task 10.\nHost 4 is interested in task 14.\nHost 1 is interested in task 13.\nHost 14 is interested in task 4.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 13.\nHost 1 is interested in task 8.\nHost 9 is interested in task 3.\nHost 12 is interested in task 13.\nHost 1 is interested in task 15.\nHost 8 is interested in task 9.\nHost 8 is interested in task 11.\nHost 1 is interested in task 4.\nHost 12 is interested in task 6.\nHost 5 is interested in task 4.\nHost 7 is interested in task 13.\nHost 9 is interested in task 0.\nHost 3 is interested in task 14.\nHost 5 is interested in task 12.\nHost 9 is interested in task 13.\nHost 11 is interested in task 7.\nHost 10 is interested in task 2.\nHost 5 is interested in task 11.\nHost 8 is interested in task 13.\nHost 14 is interested in task 11.\nHost 9 is interested in task 8.\nHost 9 is interested in task 4.\nHost 2 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 14.\nHost 6 is interested in task 1.\nHost 2 is interested in task 8.\nHost 12 is interested in task 4.\nHost 2 is interested in task 12.\nHost 9 is interested in task 9.\nHost 14 is interested in task 5.\nHost 4 is interested in task 10.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 12 is interested in task 9.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 12 is interested in task 15.\nHost 14 is interested in task 0.\nHost 5 is interested in task 7.\nHost 14 is interested in task 10.\nHost 7 is interested in task 14.\nHost 14 is interested in task 9.\nHost 11 is interested in task 3.\nHost 6 is interested in task 8.\nHost 7 is interested in task 10.\nHost 6 is interested in task 11.\nHost 13 is interested in task 11.\nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 14 is interested in task 3.\nHost 11 is interested in task 14.\nHost 10 is interested in task 7.\nHost 1 is interested in task 2.\nHost 10 is interested in task 11.\nHost 12 is interested in task 5.\nHost 5 is interested in task 14.\nHost 1 is interested in task 7.\nHost 1 is interested in task 0.\nHost 5 is interested in task 10.\nHost 4 is interested in task 11.\nHost 1 is interested in task 5.\nHost 2 is interested in task 0.\nHost 6 is interested in task 14.\nHost 9 is interested in task 15.\nHost 10 is interested in task 15.\nHost 14 is interested in task 12.\nHost 1 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph464", "image": "data/matching/graph_visual/hard/graph464.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 9.\nHost 11 is interested in task 7.\nHost 2 is interested in task 7.\nHost 10 is interested in task 4.\nHost 11 is interested in task 3.\nHost 2 is interested in task 4.\nHost 3 is interested in task 5.\nHost 10 is interested in task 5.\nHost 1 is interested in task 1.\nHost 7 is interested in task 2.\nHost 2 is interested in task 3.\nHost 9 is interested in task 8.\nHost 11 is interested in task 4.\nHost 5 is interested in task 3.\nHost 8 is interested in task 7.\nHost 9 is interested in task 7.\nHost 9 is interested in task 6.\nHost 2 is interested in task 0.\nHost 11 is interested in task 5.\nHost 6 is interested in task 3.\nHost 1 is interested in task 5.\nHost 7 is interested in task 7.\nHost 9 is interested in task 9.\nHost 7 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 11 is interested in task 6.\nHost 1 is interested in task 2.\nHost 6 is interested in task 2.\nHost 8 is interested in task 4.\nHost 11 is interested in task 8.\nHost 2 is interested in task 9.\nHost 1 is interested in task 3.\nHost 7 is interested in task 5.\nHost 10 is interested in task 6.\nHost 3 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1235", "image": "data/matching/graph_visual/hard/graph1235.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 16.\nHost 14 is interested in task 8.\nHost 7 is interested in task 17.\nHost 6 is interested in task 2.\nHost 6 is interested in task 14.\nHost 13 is interested in task 6.\nHost 12 is interested in task 7.\nHost 12 is interested in task 17.\nHost 5 is interested in task 10.\nHost 6 is interested in task 6.\nHost 14 is interested in task 6.\nHost 10 is interested in task 6.\nHost 3 is interested in task 3.\nHost 7 is interested in task 13.\nHost 9 is interested in task 17.\nHost 3 is interested in task 12.\nHost 13 is interested in task 7.\nHost 6 is interested in task 4.\nHost 6 is interested in task 11.\nHost 10 is interested in task 5.\nHost 8 is interested in task 2.\nHost 14 is interested in task 3.\nHost 10 is interested in task 9.\nHost 9 is interested in task 5.\nHost 2 is interested in task 6.\nHost 14 is interested in task 14.\nHost 3 is interested in task 7.\nHost 6 is interested in task 3.\nHost 7 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 5.\nHost 2 is interested in task 2.\nHost 14 is interested in task 9.\nHost 0 is interested in task 14.\nHost 4 is interested in task 9.\nHost 10 is interested in task 13.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 10 is interested in task 16.\nHost 6 is interested in task 9.\nHost 10 is interested in task 3.\nHost 6 is interested in task 10.\nHost 13 is interested in task 14.\nHost 2 is interested in task 10.\nHost 12 is interested in task 13.\nHost 10 is interested in task 12.\nHost 7 is interested in task 10.\nHost 4 is interested in task 16.\nHost 4 is interested in task 11.\nHost 2 is interested in task 15.\nHost 7 is interested in task 16.\nHost 13 is interested in task 1.\nHost 9 is interested in task 14.\nHost 9 is interested in task 8.\nHost 4 is interested in task 6.\nHost 2 is interested in task 11.\nHost 1 is interested in task 12.\nHost 14 is interested in task 2.\nHost 1 is interested in task 1.\nHost 3 is interested in task 13.\nHost 9 is interested in task 13.\nHost 11 is interested in task 16.\nHost 1 is interested in task 9.\nHost 11 is interested in task 12.\nHost 5 is interested in task 15.\nHost 11 is interested in task 2.\nHost 3 is interested in task 5.\nHost 10 is interested in task 15.\nHost 12 is interested in task 4.\nHost 2 is interested in task 12.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 7 is interested in task 7.\nHost 10 is interested in task 0.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 6 is interested in task 0.\nHost 9 is interested in task 12.\nHost 14 is interested in task 10.\nHost 0 is interested in task 0.\nHost 0 is interested in task 17.\nHost 12 is interested in task 11.\nHost 4 is interested in task 14.\nHost 14 is interested in task 17.\nHost 10 is interested in task 1.\nHost 13 is interested in task 16.\nHost 5 is interested in task 9.\nHost 5 is interested in task 8.\nHost 4 is interested in task 0.\nHost 3 is interested in task 2.\nHost 3 is interested in task 9.\nHost 6 is interested in task 5.\nHost 7 is interested in task 9.\nHost 12 is interested in task 8.\nHost 11 is interested in task 8.\nHost 4 is interested in task 4.\nHost 10 is interested in task 14.\nHost 3 is interested in task 10.\nHost 9 is interested in task 15.\nHost 4 is interested in task 1.\nHost 7 is interested in task 8.\nHost 12 is interested in task 12.\nHost 10 is interested in task 10.\nHost 8 is interested in task 13.\nHost 7 is interested in task 1.\nHost 2 is interested in task 16. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph927", "image": "data/matching/graph_visual/hard/graph927.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 8 is interested in task 8.\nHost 11 is interested in task 7.\nHost 1 is interested in task 9.\nHost 7 is interested in task 4.\nHost 3 is interested in task 4.\nHost 10 is interested in task 5.\nHost 9 is interested in task 5.\nHost 3 is interested in task 1.\nHost 7 is interested in task 2.\nHost 2 is interested in task 12.\nHost 9 is interested in task 6.\nHost 12 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 2.\nHost 7 is interested in task 6.\nHost 11 is interested in task 10.\nHost 6 is interested in task 5.\nHost 5 is interested in task 0.\nHost 2 is interested in task 10.\nHost 4 is interested in task 11.\nHost 4 is interested in task 10.\nHost 12 is interested in task 5.\nHost 6 is interested in task 8.\nHost 13 is interested in task 1.\nHost 3 is interested in task 6.\nHost 0 is interested in task 11.\nHost 0 is interested in task 10.\nHost 8 is interested in task 7.\nHost 12 is interested in task 9.\nHost 12 is interested in task 0.\nHost 9 is interested in task 0.\nHost 3 is interested in task 0.\nHost 3 is interested in task 3.\nHost 12 is interested in task 12.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 11.\nHost 10 is interested in task 12.\nHost 11 is interested in task 9.\nHost 3 is interested in task 12.\nHost 4 is interested in task 5.\nHost 12 is interested in task 2.\nHost 10 is interested in task 6.\nHost 12 is interested in task 6.\nHost 7 is interested in task 7.\nHost 13 is interested in task 5.\nHost 4 is interested in task 8.\nHost 3 is interested in task 7.\nHost 1 is interested in task 0.\nHost 8 is interested in task 4.\nHost 12 is interested in task 3.\nHost 8 is interested in task 3.\nHost 9 is interested in task 1.\nHost 3 is interested in task 11.\nHost 2 is interested in task 8.\nHost 8 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 12.\nHost 13 is interested in task 3.\nHost 9 is interested in task 12.\nHost 13 is interested in task 4.\nHost 10 is interested in task 10.\nHost 9 is interested in task 9.\nHost 11 is interested in task 0.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 9 is interested in task 3.\nHost 1 is interested in task 6.\nHost 12 is interested in task 4.\nHost 3 is interested in task 10.\nHost 1 is interested in task 10.\nHost 4 is interested in task 7.\nHost 12 is interested in task 8.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1147", "image": "data/matching/graph_visual/hard/graph1147.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 6 is interested in task 6.\nHost 10 is interested in task 2.\nHost 3 is interested in task 0.\nHost 9 is interested in task 1.\nHost 8 is interested in task 6.\nHost 0 is interested in task 1.\nHost 7 is interested in task 5.\nHost 11 is interested in task 12.\nHost 1 is interested in task 13.\nHost 0 is interested in task 2.\nHost 1 is interested in task 14.\nHost 12 is interested in task 14.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 6 is interested in task 1.\nHost 11 is interested in task 8.\nHost 4 is interested in task 2.\nHost 6 is interested in task 7.\nHost 12 is interested in task 7.\nHost 0 is interested in task 8.\nHost 5 is interested in task 10.\nHost 10 is interested in task 1.\nHost 4 is interested in task 12.\nHost 8 is interested in task 13.\nHost 4 is interested in task 8.\nHost 2 is interested in task 13.\nHost 3 is interested in task 1.\nHost 12 is interested in task 4.\nHost 12 is interested in task 5.\nHost 14 is interested in task 10.\nHost 4 is interested in task 11.\nHost 2 is interested in task 1.\nHost 6 is interested in task 0.\nHost 4 is interested in task 7.\nHost 13 is interested in task 6.\nHost 4 is interested in task 6.\nHost 2 is interested in task 4.\nHost 14 is interested in task 1.\nHost 5 is interested in task 14.\nHost 13 is interested in task 7.\nHost 14 is interested in task 2.\nHost 6 is interested in task 11.\nHost 7 is interested in task 4.\nHost 0 is interested in task 12.\nHost 11 is interested in task 2.\nHost 6 is interested in task 8.\nHost 7 is interested in task 6.\nHost 14 is interested in task 0.\nHost 13 is interested in task 14.\nHost 12 is interested in task 1.\nHost 10 is interested in task 8.\nHost 14 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 3.\nHost 4 is interested in task 3.\nHost 6 is interested in task 13.\nHost 14 is interested in task 6.\nHost 10 is interested in task 10.\nHost 1 is interested in task 10.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 14 is interested in task 13.\nHost 13 is interested in task 4.\nHost 8 is interested in task 11.\nHost 4 is interested in task 5.\nHost 6 is interested in task 9.\nHost 5 is interested in task 12.\nHost 12 is interested in task 12.\nHost 2 is interested in task 6.\nHost 8 is interested in task 14.\nHost 14 is interested in task 9.\nHost 2 is interested in task 8.\nHost 13 is interested in task 10.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1063", "image": "data/matching/graph_visual/hard/graph1063.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 1.\nHost 4 is interested in task 4.\nHost 1 is interested in task 11.\nHost 13 is interested in task 9.\nHost 14 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 10.\nHost 7 is interested in task 4.\nHost 13 is interested in task 3.\nHost 6 is interested in task 2.\nHost 10 is interested in task 0.\nHost 11 is interested in task 3.\nHost 12 is interested in task 2.\nHost 11 is interested in task 9.\nHost 11 is interested in task 7.\nHost 5 is interested in task 10.\nHost 6 is interested in task 7.\nHost 6 is interested in task 11.\nHost 14 is interested in task 11.\nHost 11 is interested in task 5.\nHost 13 is interested in task 5.\nHost 7 is interested in task 0.\nHost 4 is interested in task 0.\nHost 8 is interested in task 5.\nHost 6 is interested in task 3.\nHost 12 is interested in task 10.\nHost 6 is interested in task 10.\nHost 4 is interested in task 11.\nHost 7 is interested in task 11.\nHost 0 is interested in task 7.\nHost 9 is interested in task 1.\nHost 12 is interested in task 0.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 10 is interested in task 4.\nHost 9 is interested in task 8.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 11 is interested in task 10.\nHost 11 is interested in task 11.\nHost 8 is interested in task 9.\nHost 9 is interested in task 9.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 9 is interested in task 10.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 10 is interested in task 7.\nHost 7 is interested in task 3.\nHost 7 is interested in task 10.\nHost 8 is interested in task 0.\nHost 3 is interested in task 10.\nHost 5 is interested in task 5.\nHost 12 is interested in task 8.\nHost 8 is interested in task 7.\nHost 8 is interested in task 6.\nHost 6 is interested in task 5.\nHost 9 is interested in task 11.\nHost 14 is interested in task 4.\nHost 1 is interested in task 8.\nHost 0 is interested in task 3.\nHost 0 is interested in task 11.\nHost 1 is interested in task 0.\nHost 8 is interested in task 2.\nHost 8 is interested in task 1.\nHost 13 is interested in task 6.\nHost 14 is interested in task 3.\nHost 7 is interested in task 7.\nHost 11 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 3.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph968", "image": "data/matching/graph_visual/hard/graph968.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 14.\nHost 12 is interested in task 1.\nHost 9 is interested in task 7.\nHost 3 is interested in task 8.\nHost 12 is interested in task 6.\nHost 13 is interested in task 2.\nHost 6 is interested in task 8.\nHost 6 is interested in task 1.\nHost 13 is interested in task 3.\nHost 1 is interested in task 11.\nHost 12 is interested in task 0.\nHost 8 is interested in task 0.\nHost 1 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 7.\nHost 3 is interested in task 1.\nHost 2 is interested in task 2.\nHost 13 is interested in task 13.\nHost 2 is interested in task 6.\nHost 5 is interested in task 13.\nHost 4 is interested in task 2.\nHost 12 is interested in task 8.\nHost 8 is interested in task 9.\nHost 11 is interested in task 3.\nHost 11 is interested in task 9.\nHost 0 is interested in task 11.\nHost 7 is interested in task 4.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 10 is interested in task 4.\nHost 9 is interested in task 5.\nHost 1 is interested in task 0.\nHost 2 is interested in task 10.\nHost 9 is interested in task 9.\nHost 7 is interested in task 0.\nHost 13 is interested in task 10.\nHost 8 is interested in task 14.\nHost 4 is interested in task 11.\nHost 9 is interested in task 4.\nHost 2 is interested in task 14.\nHost 12 is interested in task 13.\nHost 6 is interested in task 3.\nHost 6 is interested in task 11.\nHost 8 is interested in task 6.\nHost 3 is interested in task 3.\nHost 5 is interested in task 12.\nHost 13 is interested in task 1.\nHost 8 is interested in task 12.\nHost 4 is interested in task 5.\nHost 13 is interested in task 11.\nHost 2 is interested in task 4.\nHost 3 is interested in task 11.\nHost 1 is interested in task 12.\nHost 5 is interested in task 9.\nHost 3 is interested in task 12.\nHost 9 is interested in task 12.\nHost 13 is interested in task 6.\nHost 6 is interested in task 4.\nHost 3 is interested in task 0.\nHost 0 is interested in task 14.\nHost 8 is interested in task 11.\nHost 8 is interested in task 4.\nHost 10 is interested in task 3.\nHost 5 is interested in task 3.\nHost 12 is interested in task 12.\nHost 10 is interested in task 9.\nHost 3 is interested in task 4.\nHost 8 is interested in task 1.\nHost 13 is interested in task 9.\nHost 6 is interested in task 2.\nHost 13 is interested in task 12.\nHost 1 is interested in task 9.\nHost 0 is interested in task 5.\nHost 10 is interested in task 10.\nHost 0 is interested in task 13.\nHost 5 is interested in task 1.\nHost 12 is interested in task 11.\nHost 5 is interested in task 6.\nHost 1 is interested in task 13.\nHost 5 is interested in task 10.\nHost 1 is interested in task 2.\nHost 10 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 9.\nHost 12 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 4.\nHost 12 is interested in task 10.\nHost 4 is interested in task 7.\nHost 2 is interested in task 8.\nHost 11 is interested in task 10.\nHost 10 is interested in task 13.\nHost 11 is interested in task 6.\nHost 1 is interested in task 14.\nHost 2 is interested in task 9.\nHost 3 is interested in task 9.\nHost 6 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph370", "image": "data/matching/graph_visual/hard/graph370.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 6 is interested in task 8.\nHost 6 is interested in task 10.\nHost 5 is interested in task 4.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 4 is interested in task 5.\nHost 9 is interested in task 12.\nHost 6 is interested in task 9.\nHost 8 is interested in task 10.\nHost 4 is interested in task 9.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 9.\nHost 0 is interested in task 6.\nHost 5 is interested in task 10.\nHost 9 is interested in task 7.\nHost 7 is interested in task 5.\nHost 4 is interested in task 2.\nHost 3 is interested in task 8.\nHost 7 is interested in task 12.\nHost 2 is interested in task 9.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 5 is interested in task 0.\nHost 2 is interested in task 10.\nHost 3 is interested in task 10.\nHost 5 is interested in task 5.\nHost 8 is interested in task 7.\nHost 8 is interested in task 8.\nHost 4 is interested in task 6.\nHost 10 is interested in task 3.\nHost 8 is interested in task 12.\nHost 5 is interested in task 3.\nHost 7 is interested in task 7.\nHost 1 is interested in task 8.\nHost 5 is interested in task 8.\nHost 10 is interested in task 10.\nHost 4 is interested in task 10.\nHost 0 is interested in task 1.\nHost 8 is interested in task 4.\nHost 10 is interested in task 11.\nHost 9 is interested in task 4.\nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 3 is interested in task 2.\nHost 6 is interested in task 2.\nHost 9 is interested in task 1.\nHost 8 is interested in task 3.\nHost 5 is interested in task 6.\nHost 8 is interested in task 2.\nHost 7 is interested in task 11.\nHost 0 is interested in task 5.\nHost 8 is interested in task 1.\nHost 2 is interested in task 4.\nHost 2 is interested in task 7.\nHost 9 is interested in task 9.\nHost 0 is interested in task 11.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph649", "image": "data/matching/graph_visual/hard/graph649.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 2 is interested in task 8.\nHost 11 is interested in task 8.\nHost 12 is interested in task 6.\nHost 2 is interested in task 7.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 9 is interested in task 8.\nHost 0 is interested in task 7.\nHost 5 is interested in task 3.\nHost 2 is interested in task 0.\nHost 10 is interested in task 5.\nHost 2 is interested in task 9.\nHost 3 is interested in task 4.\nHost 12 is interested in task 9.\nHost 9 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 3.\nHost 1 is interested in task 3.\nHost 12 is interested in task 0.\nHost 6 is interested in task 7.\nHost 0 is interested in task 6.\nHost 9 is interested in task 1.\nHost 12 is interested in task 5.\nHost 7 is interested in task 0.\nHost 2 is interested in task 1.\nHost 11 is interested in task 4.\nHost 10 is interested in task 6.\nHost 0 is interested in task 8.\nHost 1 is interested in task 4.\nHost 10 is interested in task 2.\nHost 10 is interested in task 0.\nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 4.\nHost 12 is interested in task 2.\nHost 5 is interested in task 7.\nHost 3 is interested in task 0.\nHost 12 is interested in task 3.\nHost 9 is interested in task 6.\nHost 7 is interested in task 1.\nHost 12 is interested in task 4.\nHost 11 is interested in task 5.\nHost 12 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph671", "image": "data/matching/graph_visual/hard/graph671.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 4.\nHost 1 is interested in task 3.\nHost 8 is interested in task 1.\nHost 7 is interested in task 10.\nHost 1 is interested in task 9.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 5 is interested in task 2.\nHost 7 is interested in task 7.\nHost 4 is interested in task 8.\nHost 12 is interested in task 0.\nHost 12 is interested in task 2.\nHost 2 is interested in task 10.\nHost 7 is interested in task 2.\nHost 10 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 8.\nHost 8 is interested in task 3.\nHost 0 is interested in task 5.\nHost 8 is interested in task 4.\nHost 5 is interested in task 6.\nHost 0 is interested in task 0.\nHost 11 is interested in task 8.\nHost 7 is interested in task 8.\nHost 5 is interested in task 7.\nHost 12 is interested in task 1.\nHost 3 is interested in task 6.\nHost 5 is interested in task 4.\nHost 2 is interested in task 1.\nHost 9 is interested in task 9.\nHost 4 is interested in task 10.\nHost 11 is interested in task 7.\nHost 10 is interested in task 8.\nHost 12 is interested in task 7.\nHost 7 is interested in task 0.\nHost 1 is interested in task 10.\nHost 7 is interested in task 9.\nHost 3 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 9.\nHost 5 is interested in task 9.\nHost 3 is interested in task 7.\nHost 8 is interested in task 9.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 11 is interested in task 6.\nHost 0 is interested in task 8.\nHost 12 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 5.\nHost 5 is interested in task 8.\nHost 1 is interested in task 0.\nHost 8 is interested in task 6.\nHost 11 is interested in task 3.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph534", "image": "data/matching/graph_visual/hard/graph534.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 1 is interested in task 4.\nHost 3 is interested in task 8.\nHost 1 is interested in task 8.\nHost 5 is interested in task 3.\nHost 8 is interested in task 9.\nHost 10 is interested in task 1.\nHost 0 is interested in task 9.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 8 is interested in task 6.\nHost 9 is interested in task 0.\nHost 9 is interested in task 5.\nHost 8 is interested in task 2.\nHost 11 is interested in task 9.\nHost 8 is interested in task 11.\nHost 6 is interested in task 7.\nHost 8 is interested in task 8.\nHost 1 is interested in task 9.\nHost 5 is interested in task 11.\nHost 8 is interested in task 1.\nHost 5 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 10 is interested in task 2.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 0 is interested in task 11.\nHost 1 is interested in task 1.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 10 is interested in task 7.\nHost 2 is interested in task 9.\nHost 3 is interested in task 11.\nHost 7 is interested in task 7.\nHost 8 is interested in task 0.\nHost 11 is interested in task 5.\nHost 4 is interested in task 2.\nHost 9 is interested in task 10.\nHost 11 is interested in task 4.\nHost 1 is interested in task 2.\nHost 11 is interested in task 6.\nHost 3 is interested in task 5.\nHost 10 is interested in task 6.\nHost 4 is interested in task 9.\nHost 10 is interested in task 10.\nHost 1 is interested in task 3.\nHost 5 is interested in task 5.\nHost 10 is interested in task 4.\nHost 7 is interested in task 8.\nHost 5 is interested in task 9.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 6 is interested in task 2.\nHost 6 is interested in task 10.\nHost 1 is interested in task 10.\nHost 11 is interested in task 2.\nHost 3 is interested in task 4.\nHost 8 is interested in task 10.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph980", "image": "data/matching/graph_visual/hard/graph980.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 8.\nHost 3 is interested in task 11.\nHost 8 is interested in task 8.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 10.\nHost 12 is interested in task 6.\nHost 12 is interested in task 10.\nHost 10 is interested in task 14.\nHost 9 is interested in task 13.\nHost 2 is interested in task 13.\nHost 8 is interested in task 2.\nHost 3 is interested in task 14.\nHost 10 is interested in task 6.\nHost 7 is interested in task 1.\nHost 0 is interested in task 6.\nHost 3 is interested in task 4.\nHost 13 is interested in task 4.\nHost 3 is interested in task 7.\nHost 12 is interested in task 4.\nHost 10 is interested in task 3.\nHost 12 is interested in task 12.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7.\nHost 10 is interested in task 13.\nHost 5 is interested in task 11.\nHost 6 is interested in task 9.\nHost 2 is interested in task 3.\nHost 10 is interested in task 5.\nHost 12 is interested in task 14.\nHost 5 is interested in task 7.\nHost 10 is interested in task 1.\nHost 2 is interested in task 6.\nHost 4 is interested in task 1.\nHost 7 is interested in task 2.\nHost 1 is interested in task 13.\nHost 3 is interested in task 10.\nHost 9 is interested in task 4.\nHost 6 is interested in task 11.\nHost 1 is interested in task 4.\nHost 9 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 7.\nHost 12 is interested in task 8.\nHost 12 is interested in task 2.\nHost 4 is interested in task 14.\nHost 2 is interested in task 7.\nHost 10 is interested in task 12.\nHost 11 is interested in task 7.\nHost 2 is interested in task 11.\nHost 12 is interested in task 13.\nHost 13 is interested in task 12.\nHost 5 is interested in task 2.\nHost 9 is interested in task 8.\nHost 6 is interested in task 3.\nHost 11 is interested in task 13.\nHost 7 is interested in task 14.\nHost 10 is interested in task 8.\nHost 7 is interested in task 8.\nHost 7 is interested in task 0.\nHost 7 is interested in task 4.\nHost 4 is interested in task 0.\nHost 9 is interested in task 12.\nHost 5 is interested in task 6.\nHost 3 is interested in task 12.\nHost 0 is interested in task 14.\nHost 9 is interested in task 1.\nHost 12 is interested in task 1.\nHost 7 is interested in task 3.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 6 is interested in task 4.\nHost 3 is interested in task 13.\nHost 6 is interested in task 7.\nHost 6 is interested in task 2.\nHost 11 is interested in task 14.\nHost 11 is interested in task 10.\nHost 11 is interested in task 0.\nHost 2 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph38", "image": "data/matching/graph_visual/hard/graph38.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 9 is interested in task 6.\nHost 3 is interested in task 1.\nHost 8 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 7.\nHost 4 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 7.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1.\nHost 7 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 5.\nHost 7 is interested in task 6.\nHost 6 is interested in task 3.\nHost 6 is interested in task 6.\nHost 9 is interested in task 1.\nHost 5 is interested in task 6.\nHost 8 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 7.\nHost 4 is interested in task 3.\nHost 1 is interested in task 6.\nHost 8 is interested in task 2.\nHost 4 is interested in task 4.\nHost 1 is interested in task 3.\nHost 9 is interested in task 7.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 8 is interested in task 7.\nHost 2 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 3.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph675", "image": "data/matching/graph_visual/hard/graph675.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 2.\nHost 1 is interested in task 9.\nHost 9 is interested in task 7.\nHost 5 is interested in task 3.\nHost 12 is interested in task 3.\nHost 7 is interested in task 6.\nHost 6 is interested in task 2.\nHost 11 is interested in task 4.\nHost 0 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 11 is interested in task 7.\nHost 7 is interested in task 3.\nHost 12 is interested in task 2.\nHost 7 is interested in task 5.\nHost 0 is interested in task 2.\nHost 7 is interested in task 7.\nHost 1 is interested in task 10.\nHost 6 is interested in task 9.\nHost 0 is interested in task 10.\nHost 9 is interested in task 2.\nHost 11 is interested in task 5.\nHost 4 is interested in task 9.\nHost 4 is interested in task 1.\nHost 12 is interested in task 1.\nHost 3 is interested in task 9.\nHost 10 is interested in task 10.\nHost 8 is interested in task 6.\nHost 9 is interested in task 3.\nHost 6 is interested in task 8.\nHost 12 is interested in task 7.\nHost 11 is interested in task 1.\nHost 6 is interested in task 7.\nHost 8 is interested in task 4.\nHost 1 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 3.\nHost 8 is interested in task 10.\nHost 4 is interested in task 4.\nHost 7 is interested in task 10.\nHost 7 is interested in task 1.\nHost 2 is interested in task 5.\nHost 11 is interested in task 9.\nHost 4 is interested in task 8.\nHost 4 is interested in task 5.\nHost 3 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph948", "image": "data/matching/graph_visual/hard/graph948.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 4 is interested in task 1.\nHost 12 is interested in task 6.\nHost 3 is interested in task 12.\nHost 0 is interested in task 13.\nHost 7 is interested in task 11.\nHost 4 is interested in task 12.\nHost 1 is interested in task 10.\nHost 0 is interested in task 3.\nHost 10 is interested in task 1.\nHost 4 is interested in task 10.\nHost 10 is interested in task 10.\nHost 9 is interested in task 10.\nHost 1 is interested in task 13.\nHost 11 is interested in task 0.\nHost 7 is interested in task 10.\nHost 7 is interested in task 7.\nHost 12 is interested in task 4.\nHost 3 is interested in task 0.\nHost 10 is interested in task 4.\nHost 9 is interested in task 9.\nHost 6 is interested in task 1.\nHost 0 is interested in task 4.\nHost 12 is interested in task 13.\nHost 12 is interested in task 1.\nHost 10 is interested in task 9.\nHost 10 is interested in task 11.\nHost 4 is interested in task 2.\nHost 1 is interested in task 4.\nHost 8 is interested in task 13.\nHost 9 is interested in task 13.\nHost 12 is interested in task 2.\nHost 7 is interested in task 4.\nHost 6 is interested in task 9.\nHost 0 is interested in task 11.\nHost 6 is interested in task 12.\nHost 5 is interested in task 5.\nHost 8 is interested in task 7.\nHost 0 is interested in task 0.\nHost 12 is interested in task 5.\nHost 2 is interested in task 7.\nHost 12 is interested in task 12.\nHost 4 is interested in task 3.\nHost 5 is interested in task 9.\nHost 4 is interested in task 7.\nHost 13 is interested in task 7.\nHost 0 is interested in task 8.\nHost 5 is interested in task 2.\nHost 8 is interested in task 9.\nHost 7 is interested in task 6.\nHost 12 is interested in task 11.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 4 is interested in task 11.\nHost 12 is interested in task 0.\nHost 1 is interested in task 11.\nHost 12 is interested in task 7.\nHost 4 is interested in task 8.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 6 is interested in task 0.\nHost 9 is interested in task 4.\nHost 10 is interested in task 7.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 7 is interested in task 12.\nHost 4 is interested in task 0.\nHost 11 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph727", "image": "data/matching/graph_visual/hard/graph727.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 11.\nHost 2 is interested in task 12.\nHost 12 is interested in task 6.\nHost 3 is interested in task 6.\nHost 9 is interested in task 5.\nHost 2 is interested in task 0.\nHost 12 is interested in task 0.\nHost 1 is interested in task 12.\nHost 8 is interested in task 7.\nHost 1 is interested in task 11.\nHost 12 is interested in task 9.\nHost 1 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 10.\nHost 12 is interested in task 1.\nHost 4 is interested in task 12.\nHost 8 is interested in task 0.\nHost 12 is interested in task 12.\nHost 12 is interested in task 10.\nHost 10 is interested in task 0.\nHost 4 is interested in task 1.\nHost 7 is interested in task 8.\nHost 12 is interested in task 2.\nHost 11 is interested in task 1.\nHost 6 is interested in task 12.\nHost 9 is interested in task 1.\nHost 5 is interested in task 0.\nHost 11 is interested in task 7.\nHost 9 is interested in task 2.\nHost 1 is interested in task 7.\nHost 7 is interested in task 5.\nHost 5 is interested in task 2.\nHost 7 is interested in task 11.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 10.\nHost 12 is interested in task 5.\nHost 9 is interested in task 7.\nHost 10 is interested in task 5.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 5 is interested in task 8.\nHost 4 is interested in task 5.\nHost 7 is interested in task 4.\nHost 7 is interested in task 7.\nHost 11 is interested in task 2.\nHost 10 is interested in task 8.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 5 is interested in task 4.\nHost 11 is interested in task 12.\nHost 5 is interested in task 5.\nHost 3 is interested in task 10.\nHost 12 is interested in task 4.\nHost 11 is interested in task 3.\nHost 5 is interested in task 6.\nHost 1 is interested in task 9.\nHost 3 is interested in task 8.\nHost 9 is interested in task 8.\nHost 11 is interested in task 0.\nHost 8 is interested in task 1.\nHost 0 is interested in task 10.\nHost 2 is interested in task 5.\nHost 8 is interested in task 12.\nHost 3 is interested in task 9.\nHost 11 is interested in task 11.\nHost 10 is interested in task 10.\nHost 5 is interested in task 9.\nHost 2 is interested in task 6.\nHost 1 is interested in task 4.\nHost 7 is interested in task 12.\nHost 7 is interested in task 6.\nHost 9 is interested in task 3.\nHost 6 is interested in task 7.\nHost 8 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph274", "image": "data/matching/graph_visual/hard/graph274.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 8 is interested in task 2.\nHost 4 is interested in task 0.\nHost 4 is interested in task 1.\nHost 4 is interested in task 8.\nHost 8 is interested in task 7.\nHost 2 is interested in task 8.\nHost 5 is interested in task 4.\nHost 0 is interested in task 1.\nHost 10 is interested in task 5.\nHost 1 is interested in task 0.\nHost 8 is interested in task 3.\nHost 7 is interested in task 4.\nHost 9 is interested in task 7.\nHost 0 is interested in task 9.\nHost 4 is interested in task 6.\nHost 2 is interested in task 3.\nHost 7 is interested in task 5.\nHost 6 is interested in task 5.\nHost 4 is interested in task 7.\nHost 7 is interested in task 6.\nHost 2 is interested in task 6.\nHost 3 is interested in task 3.\nHost 3 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 8.\nHost 5 is interested in task 9.\nHost 3 is interested in task 7.\nHost 9 is interested in task 6.\nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 0.\nHost 3 is interested in task 9.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 10 is interested in task 7.\nHost 10 is interested in task 4.\nHost 1 is interested in task 6.\nHost 2 is interested in task 0.\nHost 7 is interested in task 7.\nHost 1 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph485", "image": "data/matching/graph_visual/hard/graph485.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 9.\nHost 4 is interested in task 4.\nHost 8 is interested in task 4.\nHost 10 is interested in task 2.\nHost 8 is interested in task 3.\nHost 8 is interested in task 5.\nHost 5 is interested in task 6.\nHost 6 is interested in task 1.\nHost 6 is interested in task 0.\nHost 4 is interested in task 1.\nHost 4 is interested in task 6.\nHost 3 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 2.\nHost 11 is interested in task 8.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 10 is interested in task 0.\nHost 4 is interested in task 8.\nHost 10 is interested in task 5.\nHost 1 is interested in task 4.\nHost 11 is interested in task 9.\nHost 11 is interested in task 4.\nHost 1 is interested in task 3.\nHost 9 is interested in task 9.\nHost 7 is interested in task 10.\nHost 4 is interested in task 3.\nHost 5 is interested in task 5.\nHost 3 is interested in task 6.\nHost 7 is interested in task 3.\nHost 8 is interested in task 10.\nHost 8 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 1.\nHost 6 is interested in task 9.\nHost 10 is interested in task 1.\nHost 1 is interested in task 9.\nHost 11 is interested in task 0.\nHost 10 is interested in task 9.\nHost 7 is interested in task 2.\nHost 10 is interested in task 4.\nHost 11 is interested in task 5.\nHost 3 is interested in task 0.\nHost 7 is interested in task 7.\nHost 10 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph154", "image": "data/matching/graph_visual/hard/graph154.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 11.\nHost 8 is interested in task 8.\nHost 2 is interested in task 9.\nHost 8 is interested in task 9.\nHost 4 is interested in task 3.\nHost 8 is interested in task 10.\nHost 5 is interested in task 7.\nHost 4 is interested in task 9.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 2.\nHost 9 is interested in task 9.\nHost 1 is interested in task 1.\nHost 6 is interested in task 9.\nHost 7 is interested in task 2.\nHost 9 is interested in task 8.\nHost 2 is interested in task 8.\nHost 2 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 10.\nHost 3 is interested in task 2.\nHost 5 is interested in task 6.\nHost 4 is interested in task 11.\nHost 9 is interested in task 7.\nHost 8 is interested in task 6.\nHost 2 is interested in task 7.\nHost 4 is interested in task 1.\nHost 0 is interested in task 9.\nHost 5 is interested in task 0.\nHost 9 is interested in task 10.\nHost 0 is interested in task 8.\nHost 2 is interested in task 0.\nHost 8 is interested in task 7.\nHost 0 is interested in task 0.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 0 is interested in task 2.\nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 0 is interested in task 4.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph200", "image": "data/matching/graph_visual/hard/graph200.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 2 is interested in task 10.\nHost 7 is interested in task 12.\nHost 3 is interested in task 10.\nHost 0 is interested in task 4.\nHost 1 is interested in task 1.\nHost 8 is interested in task 12.\nHost 2 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 11.\nHost 1 is interested in task 11.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 0 is interested in task 0.\nHost 9 is interested in task 0.\nHost 1 is interested in task 4.\nHost 2 is interested in task 8.\nHost 7 is interested in task 11.\nHost 4 is interested in task 12.\nHost 7 is interested in task 8.\nHost 5 is interested in task 2.\nHost 5 is interested in task 10.\nHost 7 is interested in task 1.\nHost 8 is interested in task 4.\nHost 8 is interested in task 0.\nHost 1 is interested in task 9.\nHost 8 is interested in task 11.\nHost 8 is interested in task 1.\nHost 0 is interested in task 10.\nHost 2 is interested in task 2.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 7 is interested in task 4.\nHost 3 is interested in task 5.\nHost 6 is interested in task 9.\nHost 2 is interested in task 9.\nHost 7 is interested in task 7.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph449", "image": "data/matching/graph_visual/hard/graph449.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 0.\nHost 3 is interested in task 5.\nHost 8 is interested in task 5.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 7.\nHost 7 is interested in task 5.\nHost 6 is interested in task 3.\nHost 3 is interested in task 4.\nHost 10 is interested in task 7.\nHost 4 is interested in task 1.\nHost 2 is interested in task 3.\nHost 8 is interested in task 2.\nHost 11 is interested in task 6.\nHost 7 is interested in task 1.\nHost 10 is interested in task 3.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 7 is interested in task 8.\nHost 2 is interested in task 0.\nHost 11 is interested in task 4.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 7 is interested in task 3.\nHost 0 is interested in task 7.\nHost 2 is interested in task 1.\nHost 2 is interested in task 7.\nHost 7 is interested in task 7.\nHost 11 is interested in task 3.\nHost 5 is interested in task 7.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 10 is interested in task 1.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 0 is interested in task 0.\nHost 6 is interested in task 5.\nHost 8 is interested in task 7.\nHost 9 is interested in task 3.\nHost 9 is interested in task 6.\nHost 0 is interested in task 6.\nHost 1 is interested in task 6.\nHost 10 is interested in task 2.\nHost 4 is interested in task 2.\nHost 10 is interested in task 5.\nHost 7 is interested in task 2.\nHost 4 is interested in task 6.\nHost 7 is interested in task 6.\nHost 3 is interested in task 6.\nHost 6 is interested in task 1.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1160", "image": "data/matching/graph_visual/hard/graph1160.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 11.\nHost 6 is interested in task 1.\nHost 10 is interested in task 11.\nHost 13 is interested in task 4.\nHost 2 is interested in task 11.\nHost 9 is interested in task 3.\nHost 11 is interested in task 9.\nHost 9 is interested in task 1.\nHost 3 is interested in task 5.\nHost 10 is interested in task 1.\nHost 0 is interested in task 12.\nHost 2 is interested in task 5.\nHost 0 is interested in task 6.\nHost 9 is interested in task 9.\nHost 14 is interested in task 10.\nHost 7 is interested in task 10.\nHost 2 is interested in task 13.\nHost 6 is interested in task 9.\nHost 10 is interested in task 4.\nHost 3 is interested in task 9.\nHost 12 is interested in task 5.\nHost 5 is interested in task 14.\nHost 3 is interested in task 13.\nHost 13 is interested in task 3.\nHost 10 is interested in task 8.\nHost 11 is interested in task 3.\nHost 7 is interested in task 12.\nHost 5 is interested in task 8.\nHost 13 is interested in task 1.\nHost 11 is interested in task 2.\nHost 7 is interested in task 11.\nHost 8 is interested in task 9.\nHost 11 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 4.\nHost 2 is interested in task 3.\nHost 13 is interested in task 12.\nHost 7 is interested in task 8.\nHost 2 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 8.\nHost 14 is interested in task 11.\nHost 1 is interested in task 0.\nHost 1 is interested in task 10.\nHost 2 is interested in task 14.\nHost 1 is interested in task 9.\nHost 13 is interested in task 11.\nHost 14 is interested in task 9.\nHost 11 is interested in task 12.\nHost 1 is interested in task 7.\nHost 6 is interested in task 12.\nHost 2 is interested in task 2.\nHost 11 is interested in task 8.\nHost 4 is interested in task 11.\nHost 3 is interested in task 8.\nHost 6 is interested in task 13.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 10 is interested in task 3.\nHost 5 is interested in task 5.\nHost 7 is interested in task 9.\nHost 11 is interested in task 4.\nHost 7 is interested in task 4.\nHost 8 is interested in task 13.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 1 is interested in task 3.\nHost 5 is interested in task 11.\nHost 5 is interested in task 13.\nHost 0 is interested in task 3.\nHost 11 is interested in task 14.\nHost 6 is interested in task 7.\nHost 4 is interested in task 0.\nHost 1 is interested in task 8.\nHost 11 is interested in task 13.\nHost 5 is interested in task 6.\nHost 3 is interested in task 11.\nHost 5 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 11.\nHost 8 is interested in task 0.\nHost 4 is interested in task 13.\nHost 1 is interested in task 2.\nHost 1 is interested in task 13.\nHost 10 is interested in task 9.\nHost 12 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1259", "image": "data/matching/graph_visual/hard/graph1259.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 12.\nHost 3 is interested in task 9.\nHost 7 is interested in task 2.\nHost 14 is interested in task 9.\nHost 4 is interested in task 0.\nHost 3 is interested in task 6.\nHost 14 is interested in task 6.\nHost 8 is interested in task 4.\nHost 10 is interested in task 6.\nHost 3 is interested in task 15.\nHost 1 is interested in task 5.\nHost 11 is interested in task 13.\nHost 5 is interested in task 3.\nHost 12 is interested in task 8.\nHost 1 is interested in task 1.\nHost 7 is interested in task 17.\nHost 9 is interested in task 17.\nHost 8 is interested in task 16.\nHost 8 is interested in task 1.\nHost 1 is interested in task 8.\nHost 3 is interested in task 5.\nHost 5 is interested in task 16.\nHost 14 is interested in task 0.\nHost 1 is interested in task 7.\nHost 5 is interested in task 11.\nHost 1 is interested in task 9.\nHost 9 is interested in task 10.\nHost 1 is interested in task 11.\nHost 3 is interested in task 3.\nHost 9 is interested in task 12.\nHost 12 is interested in task 16.\nHost 7 is interested in task 7.\nHost 9 is interested in task 14.\nHost 6 is interested in task 4.\nHost 4 is interested in task 10.\nHost 13 is interested in task 9.\nHost 4 is interested in task 16.\nHost 1 is interested in task 15.\nHost 5 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 1 is interested in task 16.\nHost 9 is interested in task 15.\nHost 4 is interested in task 4.\nHost 9 is interested in task 5.\nHost 1 is interested in task 0.\nHost 8 is interested in task 5.\nHost 13 is interested in task 14.\nHost 11 is interested in task 4.\nHost 9 is interested in task 4.\nHost 5 is interested in task 12.\nHost 9 is interested in task 2.\nHost 6 is interested in task 16.\nHost 3 is interested in task 13.\nHost 12 is interested in task 0.\nHost 7 is interested in task 13.\nHost 2 is interested in task 5.\nHost 8 is interested in task 17.\nHost 7 is interested in task 14.\nHost 6 is interested in task 6.\nHost 4 is interested in task 9.\nHost 12 is interested in task 3.\nHost 14 is interested in task 2.\nHost 7 is interested in task 1.\nHost 7 is interested in task 10.\nHost 2 is interested in task 8.\nHost 13 is interested in task 17.\nHost 12 is interested in task 1.\nHost 9 is interested in task 0.\nHost 13 is interested in task 7.\nHost 3 is interested in task 14.\nHost 7 is interested in task 9.\nHost 7 is interested in task 6.\nHost 0 is interested in task 11.\nHost 4 is interested in task 2.\nHost 12 is interested in task 12.\nHost 14 is interested in task 1.\nHost 9 is interested in task 9.\nHost 14 is interested in task 4.\nHost 1 is interested in task 14.\nHost 7 is interested in task 16.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 5 is interested in task 17.\nHost 2 is interested in task 2.\nHost 13 is interested in task 3.\nHost 8 is interested in task 0.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph754", "image": "data/matching/graph_visual/hard/graph754.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 12.\nHost 3 is interested in task 13.\nHost 6 is interested in task 12.\nHost 3 is interested in task 6.\nHost 11 is interested in task 1.\nHost 4 is interested in task 3.\nHost 12 is interested in task 8.\nHost 4 is interested in task 8.\nHost 9 is interested in task 3.\nHost 10 is interested in task 10.\nHost 7 is interested in task 13.\nHost 4 is interested in task 5.\nHost 12 is interested in task 3.\nHost 1 is interested in task 3.\nHost 8 is interested in task 9.\nHost 4 is interested in task 4.\nHost 5 is interested in task 11.\nHost 5 is interested in task 4.\nHost 5 is interested in task 12.\nHost 8 is interested in task 10.\nHost 11 is interested in task 3.\nHost 1 is interested in task 7.\nHost 1 is interested in task 9.\nHost 1 is interested in task 12.\nHost 2 is interested in task 7.\nHost 9 is interested in task 1.\nHost 3 is interested in task 9.\nHost 6 is interested in task 5.\nHost 2 is interested in task 9.\nHost 12 is interested in task 9.\nHost 2 is interested in task 11.\nHost 12 is interested in task 5.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 10 is interested in task 7.\nHost 0 is interested in task 7.\nHost 0 is interested in task 1.\nHost 2 is interested in task 0.\nHost 8 is interested in task 3.\nHost 9 is interested in task 7.\nHost 7 is interested in task 12.\nHost 9 is interested in task 10.\nHost 7 is interested in task 6.\nHost 3 is interested in task 12.\nHost 1 is interested in task 1.\nHost 7 is interested in task 7.\nHost 9 is interested in task 9.\nHost 0 is interested in task 13.\nHost 6 is interested in task 10.\nHost 8 is interested in task 8.\nHost 8 is interested in task 5.\nHost 4 is interested in task 0.\nHost 0 is interested in task 11.\nHost 9 is interested in task 5.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 13.\nHost 7 is interested in task 0.\nHost 5 is interested in task 3.\nHost 12 is interested in task 0.\nHost 4 is interested in task 7.\nHost 7 is interested in task 5.\nHost 3 is interested in task 2.\nHost 3 is interested in task 5.\nHost 0 is interested in task 8.\nHost 7 is interested in task 3.\nHost 2 is interested in task 12.\nHost 5 is interested in task 2.\nHost 1 is interested in task 8.\nHost 0 is interested in task 4.\nHost 8 is interested in task 11.\nHost 4 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph294", "image": "data/matching/graph_visual/hard/graph294.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 0.\nHost 2 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 8.\nHost 8 is interested in task 6.\nHost 6 is interested in task 0.\nHost 4 is interested in task 7.\nHost 7 is interested in task 0.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 4 is interested in task 1.\nHost 6 is interested in task 2.\nHost 5 is interested in task 8.\nHost 6 is interested in task 6.\nHost 3 is interested in task 7.\nHost 8 is interested in task 8.\nHost 3 is interested in task 4.\nHost 4 is interested in task 9.\nHost 2 is interested in task 6.\nHost 4 is interested in task 6.\nHost 0 is interested in task 8.\nHost 2 is interested in task 8.\nHost 7 is interested in task 8.\nHost 9 is interested in task 1.\nHost 1 is interested in task 4.\nHost 5 is interested in task 0.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 7 is interested in task 2.\nHost 2 is interested in task 4.\nHost 10 is interested in task 3.\nHost 10 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 8.\nHost 6 is interested in task 4.\nHost 10 is interested in task 6.\nHost 5 is interested in task 6.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1041", "image": "data/matching/graph_visual/hard/graph1041.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 0.\nHost 11 is interested in task 9.\nHost 11 is interested in task 11.\nHost 11 is interested in task 4.\nHost 9 is interested in task 15.\nHost 5 is interested in task 8.\nHost 7 is interested in task 3.\nHost 1 is interested in task 10.\nHost 6 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 5.\nHost 9 is interested in task 12.\nHost 8 is interested in task 4.\nHost 12 is interested in task 0.\nHost 1 is interested in task 7.\nHost 11 is interested in task 3.\nHost 3 is interested in task 14.\nHost 6 is interested in task 8.\nHost 5 is interested in task 1.\nHost 5 is interested in task 6.\nHost 7 is interested in task 14.\nHost 13 is interested in task 8.\nHost 5 is interested in task 3.\nHost 13 is interested in task 0.\nHost 11 is interested in task 12.\nHost 8 is interested in task 10.\nHost 3 is interested in task 6.\nHost 9 is interested in task 9.\nHost 4 is interested in task 6.\nHost 2 is interested in task 8.\nHost 8 is interested in task 8.\nHost 2 is interested in task 12.\nHost 2 is interested in task 11.\nHost 13 is interested in task 5.\nHost 11 is interested in task 14.\nHost 0 is interested in task 3.\nHost 0 is interested in task 15.\nHost 2 is interested in task 5.\nHost 10 is interested in task 16.\nHost 10 is interested in task 15.\nHost 0 is interested in task 11.\nHost 2 is interested in task 15.\nHost 12 is interested in task 11.\nHost 4 is interested in task 14.\nHost 3 is interested in task 10.\nHost 9 is interested in task 7.\nHost 0 is interested in task 13.\nHost 4 is interested in task 8.\nHost 9 is interested in task 4.\nHost 12 is interested in task 15.\nHost 3 is interested in task 15.\nHost 6 is interested in task 14.\nHost 10 is interested in task 8.\nHost 2 is interested in task 16.\nHost 0 is interested in task 10.\nHost 8 is interested in task 3.\nHost 12 is interested in task 5.\nHost 3 is interested in task 8.\nHost 6 is interested in task 0.\nHost 12 is interested in task 7.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 10.\nHost 13 is interested in task 16.\nHost 0 is interested in task 12.\nHost 4 is interested in task 7.\nHost 5 is interested in task 11.\nHost 3 is interested in task 16.\nHost 5 is interested in task 0.\nHost 8 is interested in task 1.\nHost 11 is interested in task 15.\nHost 8 is interested in task 16.\nHost 13 is interested in task 7.\nHost 9 is interested in task 6.\nHost 4 is interested in task 16.\nHost 1 is interested in task 1.\nHost 4 is interested in task 9.\nHost 11 is interested in task 16.\nHost 7 is interested in task 10.\nHost 0 is interested in task 16.\nHost 5 is interested in task 10.\nHost 4 is interested in task 15.\nHost 9 is interested in task 16.\nHost 7 is interested in task 12.\nHost 4 is interested in task 5.\nHost 8 is interested in task 5.\nHost 12 is interested in task 3.\nHost 12 is interested in task 4.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph548", "image": "data/matching/graph_visual/hard/graph548.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 10.\nHost 10 is interested in task 2.\nHost 10 is interested in task 9.\nHost 1 is interested in task 1.\nHost 4 is interested in task 5.\nHost 0 is interested in task 10.\nHost 6 is interested in task 8.\nHost 8 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 3.\nHost 7 is interested in task 7.\nHost 3 is interested in task 12.\nHost 5 is interested in task 7.\nHost 11 is interested in task 1.\nHost 11 is interested in task 7.\nHost 3 is interested in task 0.\nHost 11 is interested in task 11.\nHost 1 is interested in task 2.\nHost 7 is interested in task 11.\nHost 11 is interested in task 12.\nHost 9 is interested in task 7.\nHost 5 is interested in task 4.\nHost 10 is interested in task 1.\nHost 3 is interested in task 9.\nHost 10 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 10.\nHost 6 is interested in task 6.\nHost 6 is interested in task 7.\nHost 0 is interested in task 11.\nHost 9 is interested in task 4.\nHost 6 is interested in task 10.\nHost 6 is interested in task 2.\nHost 0 is interested in task 5.\nHost 3 is interested in task 11.\nHost 11 is interested in task 5.\nHost 0 is interested in task 4.\nHost 1 is interested in task 11.\nHost 3 is interested in task 3.\nHost 5 is interested in task 9.\nHost 5 is interested in task 0.\nHost 2 is interested in task 9.\nHost 11 is interested in task 6.\nHost 11 is interested in task 9.\nHost 11 is interested in task 0.\nHost 7 is interested in task 8.\nHost 7 is interested in task 0.\nHost 9 is interested in task 6.\nHost 6 is interested in task 1.\nHost 9 is interested in task 1.\nHost 9 is interested in task 2.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 6 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 8.\nHost 11 is interested in task 3.\nHost 2 is interested in task 3.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 6 is interested in task 11.\nHost 5 is interested in task 5.\nHost 4 is interested in task 1.\nHost 10 is interested in task 0.\nHost 5 is interested in task 8.\nHost 9 is interested in task 8.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph292", "image": "data/matching/graph_visual/hard/graph292.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 6 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 3.\nHost 5 is interested in task 8.\nHost 0 is interested in task 2.\nHost 6 is interested in task 3.\nHost 0 is interested in task 6.\nHost 9 is interested in task 7.\nHost 10 is interested in task 3.\nHost 0 is interested in task 8.\nHost 6 is interested in task 1.\nHost 2 is interested in task 9.\nHost 7 is interested in task 2.\nHost 7 is interested in task 5.\nHost 7 is interested in task 8.\nHost 0 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 0.\nHost 8 is interested in task 9.\nHost 1 is interested in task 0.\nHost 7 is interested in task 0.\nHost 4 is interested in task 1.\nHost 10 is interested in task 4.\nHost 5 is interested in task 2.\nHost 0 is interested in task 5.\nHost 3 is interested in task 2.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 10 is interested in task 7.\nHost 10 is interested in task 2.\nHost 8 is interested in task 8.\nHost 10 is interested in task 8.\nHost 6 is interested in task 0.\nHost 10 is interested in task 5.\nHost 9 is interested in task 2.\nHost 9 is interested in task 5.\nHost 0 is interested in task 9.\nHost 3 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1015", "image": "data/matching/graph_visual/hard/graph1015.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 15.\nHost 2 is interested in task 12.\nHost 2 is interested in task 3.\nHost 8 is interested in task 12.\nHost 11 is interested in task 8.\nHost 9 is interested in task 7.\nHost 10 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 5.\nHost 6 is interested in task 3.\nHost 4 is interested in task 15.\nHost 9 is interested in task 10.\nHost 6 is interested in task 2.\nHost 1 is interested in task 14.\nHost 9 is interested in task 5.\nHost 0 is interested in task 3.\nHost 9 is interested in task 12.\nHost 7 is interested in task 5.\nHost 1 is interested in task 4.\nHost 7 is interested in task 15.\nHost 8 is interested in task 6.\nHost 9 is interested in task 13.\nHost 12 is interested in task 7.\nHost 9 is interested in task 8.\nHost 0 is interested in task 10.\nHost 10 is interested in task 3.\nHost 13 is interested in task 9.\nHost 3 is interested in task 1.\nHost 1 is interested in task 15.\nHost 12 is interested in task 14.\nHost 12 is interested in task 11.\nHost 10 is interested in task 12.\nHost 10 is interested in task 2.\nHost 13 is interested in task 5.\nHost 11 is interested in task 5.\nHost 11 is interested in task 13.\nHost 1 is interested in task 10.\nHost 7 is interested in task 1.\nHost 12 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 9.\nHost 11 is interested in task 15.\nHost 6 is interested in task 0.\nHost 11 is interested in task 2.\nHost 7 is interested in task 7.\nHost 1 is interested in task 5.\nHost 13 is interested in task 10.\nHost 8 is interested in task 0.\nHost 10 is interested in task 14.\nHost 2 is interested in task 13.\nHost 13 is interested in task 11.\nHost 7 is interested in task 11.\nHost 6 is interested in task 6.\nHost 5 is interested in task 7.\nHost 8 is interested in task 1.\nHost 6 is interested in task 15.\nHost 7 is interested in task 12.\nHost 8 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 11 is interested in task 6.\nHost 7 is interested in task 10.\nHost 10 is interested in task 6.\nHost 3 is interested in task 9.\nHost 5 is interested in task 10.\nHost 0 is interested in task 11.\nHost 8 is interested in task 13.\nHost 10 is interested in task 13.\nHost 7 is interested in task 13.\nHost 8 is interested in task 15.\nHost 3 is interested in task 8.\nHost 2 is interested in task 15.\nHost 8 is interested in task 7.\nHost 12 is interested in task 0.\nHost 2 is interested in task 4.\nHost 2 is interested in task 6.\nHost 4 is interested in task 9.\nHost 12 is interested in task 12.\nHost 9 is interested in task 4.\nHost 13 is interested in task 13.\nHost 7 is interested in task 8.\nHost 8 is interested in task 11.\nHost 9 is interested in task 1.\nHost 3 is interested in task 12.\nHost 10 is interested in task 7.\nHost 0 is interested in task 4.\nHost 3 is interested in task 13.\nHost 9 is interested in task 14.\nHost 0 is interested in task 1.\nHost 9 is interested in task 3.\nHost 13 is interested in task 14.\nHost 4 is interested in task 4.\nHost 5 is interested in task 13.\nHost 3 is interested in task 0.\nHost 3 is interested in task 14.\nHost 10 is interested in task 9.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph506", "image": "data/matching/graph_visual/hard/graph506.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 6 is interested in task 1.\nHost 4 is interested in task 1.\nHost 5 is interested in task 7.\nHost 10 is interested in task 7.\nHost 4 is interested in task 10.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 7 is interested in task 2.\nHost 4 is interested in task 5.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 4 is interested in task 8.\nHost 8 is interested in task 1.\nHost 10 is interested in task 2.\nHost 0 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 10 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 1.\nHost 6 is interested in task 7.\nHost 8 is interested in task 2.\nHost 3 is interested in task 4.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 5 is interested in task 5.\nHost 1 is interested in task 10.\nHost 1 is interested in task 0.\nHost 2 is interested in task 0.\nHost 2 is interested in task 6.\nHost 4 is interested in task 9.\nHost 3 is interested in task 9.\nHost 3 is interested in task 10.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 2 is interested in task 10.\nHost 11 is interested in task 7.\nHost 8 is interested in task 6.\nHost 4 is interested in task 0.\nHost 11 is interested in task 5.\nHost 1 is interested in task 6.\nHost 10 is interested in task 5.\nHost 2 is interested in task 9.\nHost 6 is interested in task 10.\nHost 10 is interested in task 0.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph108", "image": "data/matching/graph_visual/hard/graph108.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 2 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 7.\nHost 5 is interested in task 4.\nHost 0 is interested in task 1.\nHost 3 is interested in task 8.\nHost 0 is interested in task 9.\nHost 6 is interested in task 3.\nHost 8 is interested in task 6.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2.\nHost 8 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 9.\nHost 9 is interested in task 0.\nHost 9 is interested in task 8.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 4 is interested in task 6.\nHost 4 is interested in task 1.\nHost 4 is interested in task 4.\nHost 3 is interested in task 9.\nHost 8 is interested in task 7.\nHost 1 is interested in task 1.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 4 is interested in task 8.\nHost 9 is interested in task 4.\nHost 8 is interested in task 5.\nHost 9 is interested in task 9.\nHost 7 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 3.\nHost 3 is interested in task 2.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 1.\nHost 4 is interested in task 3.\nHost 8 is interested in task 9.\nHost 1 is interested in task 6.\nHost 3 is interested in task 1.\nHost 9 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 1 is interested in task 3.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph747", "image": "data/matching/graph_visual/hard/graph747.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 4.\nHost 10 is interested in task 11.\nHost 7 is interested in task 11.\nHost 8 is interested in task 1.\nHost 5 is interested in task 10.\nHost 4 is interested in task 6.\nHost 11 is interested in task 12.\nHost 9 is interested in task 10.\nHost 7 is interested in task 12.\nHost 4 is interested in task 11.\nHost 0 is interested in task 10.\nHost 4 is interested in task 12.\nHost 11 is interested in task 4.\nHost 3 is interested in task 1.\nHost 11 is interested in task 10.\nHost 6 is interested in task 7.\nHost 2 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 8.\nHost 5 is interested in task 12.\nHost 1 is interested in task 12.\nHost 8 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 4.\nHost 10 is interested in task 12.\nHost 1 is interested in task 0.\nHost 8 is interested in task 4.\nHost 9 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 1.\nHost 2 is interested in task 9.\nHost 10 is interested in task 6.\nHost 7 is interested in task 5.\nHost 2 is interested in task 5.\nHost 1 is interested in task 5.\nHost 0 is interested in task 5.\nHost 5 is interested in task 8.\nHost 11 is interested in task 5.\nHost 1 is interested in task 2.\nHost 7 is interested in task 7.\nHost 7 is interested in task 10.\nHost 8 is interested in task 5.\nHost 7 is interested in task 3.\nHost 5 is interested in task 2.\nHost 11 is interested in task 1.\nHost 12 is interested in task 4.\nHost 8 is interested in task 2.\nHost 10 is interested in task 3.\nHost 11 is interested in task 7.\nHost 0 is interested in task 12.\nHost 10 is interested in task 5.\nHost 11 is interested in task 9.\nHost 0 is interested in task 2.\nHost 2 is interested in task 12.\nHost 0 is interested in task 7.\nHost 10 is interested in task 0.\nHost 0 is interested in task 9.\nHost 8 is interested in task 10.\nHost 10 is interested in task 7.\nHost 2 is interested in task 10.\nHost 5 is interested in task 4.\nHost 0 is interested in task 8.\nHost 9 is interested in task 5.\nHost 9 is interested in task 7.\nHost 11 is interested in task 8.\nHost 7 is interested in task 0.\nHost 8 is interested in task 11.\nHost 2 is interested in task 1.\nHost 10 is interested in task 2.\nHost 8 is interested in task 8.\nHost 5 is interested in task 5.\nHost 5 is interested in task 11.\nHost 0 is interested in task 3.\nHost 4 is interested in task 7.\nHost 11 is interested in task 6.\nHost 10 is interested in task 10.\nHost 8 is interested in task 7.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph971", "image": "data/matching/graph_visual/hard/graph971.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 8.\nHost 2 is interested in task 4.\nHost 12 is interested in task 4.\nHost 6 is interested in task 10.\nHost 7 is interested in task 6.\nHost 13 is interested in task 1.\nHost 12 is interested in task 8.\nHost 3 is interested in task 12.\nHost 11 is interested in task 3.\nHost 10 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 0.\nHost 7 is interested in task 2.\nHost 13 is interested in task 2.\nHost 10 is interested in task 0.\nHost 11 is interested in task 0.\nHost 13 is interested in task 0.\nHost 10 is interested in task 13.\nHost 10 is interested in task 5.\nHost 13 is interested in task 4.\nHost 9 is interested in task 9.\nHost 1 is interested in task 6.\nHost 1 is interested in task 3.\nHost 4 is interested in task 4.\nHost 9 is interested in task 2.\nHost 1 is interested in task 2.\nHost 11 is interested in task 6.\nHost 10 is interested in task 12.\nHost 0 is interested in task 7.\nHost 9 is interested in task 13.\nHost 2 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 10.\nHost 3 is interested in task 6.\nHost 11 is interested in task 8.\nHost 0 is interested in task 14.\nHost 10 is interested in task 2.\nHost 13 is interested in task 12.\nHost 8 is interested in task 8.\nHost 2 is interested in task 8.\nHost 1 is interested in task 8.\nHost 6 is interested in task 3.\nHost 10 is interested in task 9.\nHost 3 is interested in task 5.\nHost 11 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 11.\nHost 2 is interested in task 10.\nHost 8 is interested in task 12.\nHost 7 is interested in task 5.\nHost 1 is interested in task 14.\nHost 0 is interested in task 2.\nHost 12 is interested in task 9.\nHost 9 is interested in task 3.\nHost 5 is interested in task 12.\nHost 10 is interested in task 8.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 8 is interested in task 0.\nHost 5 is interested in task 10.\nHost 7 is interested in task 3.\nHost 9 is interested in task 11.\nHost 6 is interested in task 11.\nHost 3 is interested in task 2.\nHost 7 is interested in task 8.\nHost 8 is interested in task 10.\nHost 8 is interested in task 4.\nHost 4 is interested in task 11.\nHost 12 is interested in task 5.\nHost 8 is interested in task 14.\nHost 10 is interested in task 10.\nHost 10 is interested in task 14.\nHost 1 is interested in task 7.\nHost 10 is interested in task 11.\nHost 9 is interested in task 7.\nHost 3 is interested in task 10.\nHost 8 is interested in task 13.\nHost 3 is interested in task 14.\nHost 10 is interested in task 6.\nHost 4 is interested in task 1.\nHost 5 is interested in task 3.\nHost 11 is interested in task 7.\nHost 7 is interested in task 7.\nHost 5 is interested in task 8.\nHost 8 is interested in task 3.\nHost 0 is interested in task 10.\nHost 12 is interested in task 3.\nHost 8 is interested in task 2.\nHost 11 is interested in task 9.\nHost 5 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph538", "image": "data/matching/graph_visual/hard/graph538.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 3.\nHost 0 is interested in task 6.\nHost 10 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 3.\nHost 1 is interested in task 10.\nHost 3 is interested in task 0.\nHost 4 is interested in task 11.\nHost 8 is interested in task 4.\nHost 9 is interested in task 4.\nHost 8 is interested in task 9.\nHost 8 is interested in task 8.\nHost 4 is interested in task 10.\nHost 5 is interested in task 8.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 8 is interested in task 1.\nHost 8 is interested in task 5.\nHost 5 is interested in task 1.\nHost 11 is interested in task 8.\nHost 0 is interested in task 9.\nHost 8 is interested in task 0.\nHost 6 is interested in task 8.\nHost 5 is interested in task 0.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 7.\nHost 9 is interested in task 11.\nHost 10 is interested in task 7.\nHost 10 is interested in task 8.\nHost 7 is interested in task 9.\nHost 3 is interested in task 11.\nHost 5 is interested in task 3.\nHost 10 is interested in task 11.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 10.\nHost 11 is interested in task 1.\nHost 1 is interested in task 2.\nHost 11 is interested in task 2.\nHost 8 is interested in task 7.\nHost 7 is interested in task 11.\nHost 1 is interested in task 11.\nHost 11 is interested in task 3.\nHost 4 is interested in task 3.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 11 is interested in task 6.\nHost 8 is interested in task 6.\nHost 11 is interested in task 7.\nHost 5 is interested in task 7.\nHost 9 is interested in task 1.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1083", "image": "data/matching/graph_visual/hard/graph1083.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 11.\nHost 12 is interested in task 5.\nHost 1 is interested in task 2.\nHost 13 is interested in task 4.\nHost 4 is interested in task 7.\nHost 9 is interested in task 12.\nHost 7 is interested in task 5.\nHost 1 is interested in task 11.\nHost 7 is interested in task 1.\nHost 4 is interested in task 4.\nHost 9 is interested in task 4.\nHost 12 is interested in task 0.\nHost 8 is interested in task 4.\nHost 13 is interested in task 5.\nHost 3 is interested in task 12.\nHost 11 is interested in task 10.\nHost 13 is interested in task 7.\nHost 5 is interested in task 12.\nHost 12 is interested in task 7.\nHost 6 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 9.\nHost 2 is interested in task 3.\nHost 10 is interested in task 4.\nHost 6 is interested in task 12.\nHost 12 is interested in task 12.\nHost 3 is interested in task 4.\nHost 6 is interested in task 7.\nHost 14 is interested in task 3.\nHost 9 is interested in task 7.\nHost 3 is interested in task 9.\nHost 7 is interested in task 6.\nHost 2 is interested in task 11.\nHost 1 is interested in task 4.\nHost 8 is interested in task 6.\nHost 1 is interested in task 8.\nHost 10 is interested in task 11.\nHost 12 is interested in task 6.\nHost 8 is interested in task 11.\nHost 8 is interested in task 9.\nHost 2 is interested in task 2.\nHost 4 is interested in task 9.\nHost 6 is interested in task 4.\nHost 2 is interested in task 6.\nHost 11 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 5.\nHost 13 is interested in task 6.\nHost 5 is interested in task 4.\nHost 9 is interested in task 3.\nHost 13 is interested in task 1.\nHost 5 is interested in task 7.\nHost 2 is interested in task 7.\nHost 13 is interested in task 8.\nHost 8 is interested in task 2.\nHost 11 is interested in task 3.\nHost 5 is interested in task 5.\nHost 8 is interested in task 7.\nHost 5 is interested in task 1.\nHost 12 is interested in task 1.\nHost 3 is interested in task 0.\nHost 3 is interested in task 11.\nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 6 is interested in task 8.\nHost 4 is interested in task 12.\nHost 10 is interested in task 12.\nHost 9 is interested in task 9.\nHost 10 is interested in task 8.\nHost 12 is interested in task 2.\nHost 2 is interested in task 12.\nHost 12 is interested in task 11.\nHost 2 is interested in task 8.\nHost 12 is interested in task 10.\nHost 14 is interested in task 1.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1232", "image": "data/matching/graph_visual/hard/graph1232.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 6.\nHost 1 is interested in task 3.\nHost 13 is interested in task 14.\nHost 7 is interested in task 10.\nHost 7 is interested in task 11.\nHost 3 is interested in task 7.\nHost 14 is interested in task 3.\nHost 12 is interested in task 1.\nHost 12 is interested in task 2.\nHost 13 is interested in task 6.\nHost 3 is interested in task 6.\nHost 13 is interested in task 8.\nHost 11 is interested in task 17.\nHost 13 is interested in task 10.\nHost 13 is interested in task 2.\nHost 13 is interested in task 0.\nHost 5 is interested in task 5.\nHost 2 is interested in task 15.\nHost 7 is interested in task 5.\nHost 2 is interested in task 11.\nHost 3 is interested in task 1.\nHost 5 is interested in task 7.\nHost 10 is interested in task 10.\nHost 10 is interested in task 5.\nHost 11 is interested in task 12.\nHost 4 is interested in task 10.\nHost 7 is interested in task 9.\nHost 1 is interested in task 14.\nHost 3 is interested in task 12.\nHost 7 is interested in task 17.\nHost 14 is interested in task 4.\nHost 6 is interested in task 6.\nHost 8 is interested in task 5.\nHost 7 is interested in task 8.\nHost 13 is interested in task 15.\nHost 7 is interested in task 14.\nHost 3 is interested in task 9.\nHost 2 is interested in task 8.\nHost 0 is interested in task 7.\nHost 8 is interested in task 13.\nHost 5 is interested in task 10.\nHost 2 is interested in task 17.\nHost 0 is interested in task 0.\nHost 7 is interested in task 16.\nHost 9 is interested in task 14.\nHost 3 is interested in task 0.\nHost 5 is interested in task 14.\nHost 2 is interested in task 1.\nHost 1 is interested in task 11.\nHost 0 is interested in task 6.\nHost 9 is interested in task 16.\nHost 7 is interested in task 3.\nHost 14 is interested in task 5.\nHost 3 is interested in task 15.\nHost 2 is interested in task 12.\nHost 13 is interested in task 4.\nHost 2 is interested in task 4.\nHost 12 is interested in task 12.\nHost 3 is interested in task 11.\nHost 1 is interested in task 15.\nHost 0 is interested in task 9.\nHost 12 is interested in task 8.\nHost 7 is interested in task 6.\nHost 14 is interested in task 0.\nHost 13 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 13.\nHost 7 is interested in task 4.\nHost 6 is interested in task 13.\nHost 6 is interested in task 4.\nHost 4 is interested in task 11.\nHost 0 is interested in task 11.\nHost 13 is interested in task 12.\nHost 2 is interested in task 16.\nHost 13 is interested in task 3.\nHost 0 is interested in task 12.\nHost 0 is interested in task 17.\nHost 11 is interested in task 3.\nHost 6 is interested in task 5.\nHost 1 is interested in task 17.\nHost 4 is interested in task 16.\nHost 14 is interested in task 9.\nHost 12 is interested in task 11.\nHost 3 is interested in task 14.\nHost 2 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 9.\nHost 0 is interested in task 3.\nHost 12 is interested in task 14.\nHost 10 is interested in task 4.\nHost 13 is interested in task 13.\nHost 3 is interested in task 10.\nHost 11 is interested in task 7.\nHost 0 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph574", "image": "data/matching/graph_visual/hard/graph574.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 8.\nHost 1 is interested in task 13.\nHost 4 is interested in task 1.\nHost 4 is interested in task 11.\nHost 7 is interested in task 7.\nHost 11 is interested in task 5.\nHost 7 is interested in task 2.\nHost 0 is interested in task 12.\nHost 11 is interested in task 12.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 7.\nHost 6 is interested in task 4.\nHost 5 is interested in task 3.\nHost 10 is interested in task 13.\nHost 1 is interested in task 10.\nHost 0 is interested in task 3.\nHost 11 is interested in task 3.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 11 is interested in task 1.\nHost 8 is interested in task 13.\nHost 7 is interested in task 8.\nHost 8 is interested in task 8.\nHost 5 is interested in task 11.\nHost 4 is interested in task 0.\nHost 0 is interested in task 9.\nHost 8 is interested in task 4.\nHost 10 is interested in task 4.\nHost 6 is interested in task 10.\nHost 8 is interested in task 10.\nHost 1 is interested in task 0.\nHost 5 is interested in task 2.\nHost 2 is interested in task 13.\nHost 4 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 9.\nHost 10 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 1.\nHost 4 is interested in task 12.\nHost 4 is interested in task 9.\nHost 6 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 5.\nHost 6 is interested in task 11.\nHost 9 is interested in task 5.\nHost 1 is interested in task 6.\nHost 0 is interested in task 13.\nHost 7 is interested in task 9.\nHost 7 is interested in task 6.\nHost 2 is interested in task 7.\nHost 9 is interested in task 13.\nHost 6 is interested in task 0.\nHost 2 is interested in task 12.\nHost 2 is interested in task 0.\nHost 1 is interested in task 8.\nHost 1 is interested in task 5.\nHost 8 is interested in task 9.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph60", "image": "data/matching/graph_visual/hard/graph60.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 3 is interested in task 7.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 9 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 8.\nHost 4 is interested in task 2.\nHost 8 is interested in task 7.\nHost 2 is interested in task 3.\nHost 4 is interested in task 3.\nHost 7 is interested in task 4.\nHost 0 is interested in task 6.\nHost 1 is interested in task 1.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 0.\nHost 6 is interested in task 4.\nHost 7 is interested in task 2.\nHost 0 is interested in task 0.\nHost 9 is interested in task 0.\nHost 9 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 5.\nHost 1 is interested in task 8.\nHost 9 is interested in task 4.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1208", "image": "data/matching/graph_visual/hard/graph1208.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 12 is interested in task 16.\nHost 2 is interested in task 16.\nHost 14 is interested in task 11.\nHost 13 is interested in task 10.\nHost 13 is interested in task 13.\nHost 11 is interested in task 12.\nHost 3 is interested in task 9.\nHost 8 is interested in task 13.\nHost 4 is interested in task 6.\nHost 1 is interested in task 10.\nHost 12 is interested in task 6.\nHost 9 is interested in task 15.\nHost 5 is interested in task 7.\nHost 11 is interested in task 13.\nHost 4 is interested in task 13.\nHost 13 is interested in task 1.\nHost 3 is interested in task 8.\nHost 11 is interested in task 6.\nHost 14 is interested in task 9.\nHost 0 is interested in task 8.\nHost 12 is interested in task 7.\nHost 14 is interested in task 4.\nHost 5 is interested in task 14.\nHost 10 is interested in task 10.\nHost 11 is interested in task 15.\nHost 14 is interested in task 14.\nHost 4 is interested in task 4.\nHost 0 is interested in task 1.\nHost 7 is interested in task 10.\nHost 13 is interested in task 3.\nHost 12 is interested in task 11.\nHost 4 is interested in task 12.\nHost 9 is interested in task 16.\nHost 0 is interested in task 13.\nHost 7 is interested in task 15.\nHost 5 is interested in task 2.\nHost 13 is interested in task 12.\nHost 0 is interested in task 4.\nHost 11 is interested in task 9.\nHost 10 is interested in task 9.\nHost 11 is interested in task 0.\nHost 0 is interested in task 5.\nHost 7 is interested in task 12.\nHost 8 is interested in task 12.\nHost 5 is interested in task 5.\nHost 13 is interested in task 15.\nHost 10 is interested in task 15.\nHost 13 is interested in task 0.\nHost 4 is interested in task 8.\nHost 9 is interested in task 9.\nHost 4 is interested in task 16.\nHost 10 is interested in task 12.\nHost 14 is interested in task 3.\nHost 14 is interested in task 13.\nHost 5 is interested in task 12.\nHost 0 is interested in task 16.\nHost 3 is interested in task 6.\nHost 7 is interested in task 9.\nHost 2 is interested in task 0.\nHost 1 is interested in task 13.\nHost 7 is interested in task 0.\nHost 11 is interested in task 1.\nHost 0 is interested in task 14.\nHost 7 is interested in task 7.\nHost 14 is interested in task 2.\nHost 10 is interested in task 1.\nHost 12 is interested in task 1.\nHost 8 is interested in task 8.\nHost 11 is interested in task 3.\nHost 13 is interested in task 16.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 0 is interested in task 7.\nHost 10 is interested in task 14.\nHost 10 is interested in task 5.\nHost 1 is interested in task 1.\nHost 11 is interested in task 16.\nHost 10 is interested in task 3.\nHost 2 is interested in task 1.\nHost 13 is interested in task 8.\nHost 3 is interested in task 0.\nHost 5 is interested in task 0.\nHost 11 is interested in task 4.\nHost 9 is interested in task 14.\nHost 8 is interested in task 10.\nHost 1 is interested in task 7.\nHost 6 is interested in task 8.\nHost 8 is interested in task 3.\nHost 7 is interested in task 2.\nHost 1 is interested in task 14.\nHost 3 is interested in task 15.\nHost 3 is interested in task 13.\nHost 11 is interested in task 2.\nHost 12 is interested in task 0.\nHost 12 is interested in task 9.\nHost 4 is interested in task 3.\nHost 13 is interested in task 6.\nHost 1 is interested in task 16.\nHost 4 is interested in task 10.\nHost 3 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph906", "image": "data/matching/graph_visual/hard/graph906.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 9 is interested in task 7.\nHost 0 is interested in task 10.\nHost 9 is interested in task 12.\nHost 8 is interested in task 6.\nHost 8 is interested in task 0.\nHost 3 is interested in task 6.\nHost 6 is interested in task 0.\nHost 11 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 11.\nHost 4 is interested in task 1.\nHost 12 is interested in task 12.\nHost 11 is interested in task 7.\nHost 13 is interested in task 4.\nHost 8 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 8.\nHost 12 is interested in task 11.\nHost 12 is interested in task 0.\nHost 12 is interested in task 1.\nHost 7 is interested in task 3.\nHost 6 is interested in task 11.\nHost 10 is interested in task 0.\nHost 11 is interested in task 11.\nHost 10 is interested in task 3.\nHost 8 is interested in task 5.\nHost 5 is interested in task 5.\nHost 6 is interested in task 9.\nHost 5 is interested in task 4.\nHost 3 is interested in task 11.\nHost 13 is interested in task 3.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 7 is interested in task 10.\nHost 8 is interested in task 10.\nHost 9 is interested in task 10.\nHost 5 is interested in task 9.\nHost 8 is interested in task 9.\nHost 5 is interested in task 6.\nHost 0 is interested in task 3.\nHost 7 is interested in task 5.\nHost 10 is interested in task 6.\nHost 6 is interested in task 4.\nHost 13 is interested in task 1.\nHost 10 is interested in task 12.\nHost 8 is interested in task 12.\nHost 6 is interested in task 2.\nHost 7 is interested in task 1.\nHost 11 is interested in task 1.\nHost 6 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 5.\nHost 13 is interested in task 10.\nHost 0 is interested in task 5.\nHost 13 is interested in task 8.\nHost 2 is interested in task 6.\nHost 9 is interested in task 1.\nHost 2 is interested in task 3.\nHost 9 is interested in task 9.\nHost 3 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph172", "image": "data/matching/graph_visual/hard/graph172.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 8.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4.\nHost 2 is interested in task 7.\nHost 2 is interested in task 0.\nHost 6 is interested in task 9.\nHost 7 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 4.\nHost 1 is interested in task 10.\nHost 4 is interested in task 11.\nHost 8 is interested in task 6.\nHost 6 is interested in task 10.\nHost 0 is interested in task 1.\nHost 4 is interested in task 7.\nHost 8 is interested in task 2.\nHost 4 is interested in task 9.\nHost 7 is interested in task 10.\nHost 5 is interested in task 3.\nHost 2 is interested in task 11.\nHost 0 is interested in task 6.\nHost 2 is interested in task 1.\nHost 9 is interested in task 7.\nHost 0 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 11.\nHost 5 is interested in task 9.\nHost 1 is interested in task 9.\nHost 9 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 4.\nHost 7 is interested in task 5.\nHost 3 is interested in task 6.\nHost 6 is interested in task 2.\nHost 2 is interested in task 6.\nHost 8 is interested in task 8.\nHost 7 is interested in task 9.\nHost 6 is interested in task 0.\nHost 7 is interested in task 3.\nHost 9 is interested in task 9.\nHost 3 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph781", "image": "data/matching/graph_visual/hard/graph781.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 14.\nHost 1 is interested in task 12.\nHost 1 is interested in task 5.\nHost 9 is interested in task 1.\nHost 4 is interested in task 8.\nHost 8 is interested in task 6.\nHost 11 is interested in task 1.\nHost 10 is interested in task 3.\nHost 8 is interested in task 7.\nHost 3 is interested in task 13.\nHost 11 is interested in task 12.\nHost 10 is interested in task 13.\nHost 4 is interested in task 9.\nHost 8 is interested in task 10.\nHost 2 is interested in task 14.\nHost 5 is interested in task 12.\nHost 12 is interested in task 2.\nHost 11 is interested in task 5.\nHost 7 is interested in task 8.\nHost 0 is interested in task 12.\nHost 10 is interested in task 4.\nHost 9 is interested in task 7.\nHost 7 is interested in task 11.\nHost 7 is interested in task 14.\nHost 1 is interested in task 11.\nHost 7 is interested in task 2.\nHost 8 is interested in task 8.\nHost 5 is interested in task 7.\nHost 2 is interested in task 12.\nHost 11 is interested in task 13.\nHost 1 is interested in task 2.\nHost 11 is interested in task 9.\nHost 3 is interested in task 0.\nHost 10 is interested in task 6.\nHost 7 is interested in task 12.\nHost 8 is interested in task 0.\nHost 10 is interested in task 11.\nHost 7 is interested in task 3.\nHost 11 is interested in task 8.\nHost 9 is interested in task 13.\nHost 6 is interested in task 14.\nHost 5 is interested in task 10.\nHost 12 is interested in task 11.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 9.\nHost 11 is interested in task 11.\nHost 9 is interested in task 12.\nHost 4 is interested in task 1.\nHost 10 is interested in task 0.\nHost 1 is interested in task 9.\nHost 2 is interested in task 11.\nHost 11 is interested in task 6.\nHost 1 is interested in task 8.\nHost 1 is interested in task 0.\nHost 6 is interested in task 12.\nHost 6 is interested in task 2.\nHost 7 is interested in task 1.\nHost 3 is interested in task 3.\nHost 10 is interested in task 10.\nHost 0 is interested in task 3.\nHost 10 is interested in task 7.\nHost 8 is interested in task 5.\nHost 2 is interested in task 6.\nHost 0 is interested in task 11.\nHost 8 is interested in task 4.\nHost 10 is interested in task 12.\nHost 9 is interested in task 14.\nHost 3 is interested in task 2.\nHost 3 is interested in task 12.\nHost 7 is interested in task 9.\nHost 7 is interested in task 5.\nHost 9 is interested in task 0.\nHost 2 is interested in task 13.\nHost 2 is interested in task 4.\nHost 8 is interested in task 12.\nHost 0 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 11.\nHost 3 is interested in task 5.\nHost 8 is interested in task 3.\nHost 0 is interested in task 5.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph986", "image": "data/matching/graph_visual/hard/graph986.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 13.\nHost 8 is interested in task 7.\nHost 7 is interested in task 4.\nHost 8 is interested in task 8.\nHost 6 is interested in task 6.\nHost 5 is interested in task 12.\nHost 1 is interested in task 14.\nHost 2 is interested in task 11.\nHost 5 is interested in task 11.\nHost 0 is interested in task 1.\nHost 6 is interested in task 0.\nHost 1 is interested in task 11.\nHost 7 is interested in task 1.\nHost 10 is interested in task 3.\nHost 11 is interested in task 9.\nHost 12 is interested in task 8.\nHost 2 is interested in task 3.\nHost 10 is interested in task 9.\nHost 9 is interested in task 5.\nHost 11 is interested in task 8.\nHost 8 is interested in task 10.\nHost 1 is interested in task 4.\nHost 7 is interested in task 8.\nHost 0 is interested in task 9.\nHost 1 is interested in task 3.\nHost 10 is interested in task 13.\nHost 12 is interested in task 9.\nHost 1 is interested in task 12.\nHost 6 is interested in task 2.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 3 is interested in task 12.\nHost 5 is interested in task 13.\nHost 9 is interested in task 14.\nHost 5 is interested in task 10.\nHost 4 is interested in task 11.\nHost 9 is interested in task 2.\nHost 13 is interested in task 4.\nHost 8 is interested in task 2.\nHost 13 is interested in task 11.\nHost 2 is interested in task 8.\nHost 4 is interested in task 9.\nHost 0 is interested in task 2.\nHost 2 is interested in task 2.\nHost 3 is interested in task 13.\nHost 8 is interested in task 3.\nHost 11 is interested in task 2.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 8 is interested in task 11.\nHost 11 is interested in task 3.\nHost 10 is interested in task 12.\nHost 10 is interested in task 2.\nHost 6 is interested in task 13.\nHost 1 is interested in task 1.\nHost 3 is interested in task 8.\nHost 1 is interested in task 6.\nHost 11 is interested in task 10.\nHost 3 is interested in task 10.\nHost 10 is interested in task 1.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 3 is interested in task 11.\nHost 2 is interested in task 6.\nHost 8 is interested in task 0.\nHost 5 is interested in task 8.\nHost 9 is interested in task 9.\nHost 2 is interested in task 13.\nHost 6 is interested in task 8.\nHost 3 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 14.\nHost 3 is interested in task 9.\nHost 9 is interested in task 8.\nHost 8 is interested in task 5.\nHost 12 is interested in task 2.\nHost 11 is interested in task 1.\nHost 11 is interested in task 11.\nHost 2 is interested in task 7.\nHost 2 is interested in task 1.\nHost 9 is interested in task 6.\nHost 1 is interested in task 8.\nHost 6 is interested in task 3.\nHost 13 is interested in task 3.\nHost 12 is interested in task 11.\nHost 11 is interested in task 0.\nHost 10 is interested in task 6.\nHost 9 is interested in task 4.\nHost 10 is interested in task 0.\nHost 11 is interested in task 7.\nHost 12 is interested in task 0.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph972", "image": "data/matching/graph_visual/hard/graph972.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 10.\nHost 11 is interested in task 5.\nHost 8 is interested in task 0.\nHost 11 is interested in task 7.\nHost 3 is interested in task 6.\nHost 12 is interested in task 4.\nHost 4 is interested in task 10.\nHost 13 is interested in task 12.\nHost 2 is interested in task 7.\nHost 10 is interested in task 9.\nHost 2 is interested in task 5.\nHost 2 is interested in task 0.\nHost 11 is interested in task 9.\nHost 3 is interested in task 13.\nHost 1 is interested in task 8.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 1 is interested in task 4.\nHost 7 is interested in task 10.\nHost 13 is interested in task 3.\nHost 4 is interested in task 5.\nHost 10 is interested in task 3.\nHost 6 is interested in task 0.\nHost 3 is interested in task 14.\nHost 11 is interested in task 4.\nHost 2 is interested in task 12.\nHost 2 is interested in task 4.\nHost 9 is interested in task 2.\nHost 5 is interested in task 5.\nHost 11 is interested in task 8.\nHost 9 is interested in task 9.\nHost 3 is interested in task 5.\nHost 7 is interested in task 14.\nHost 10 is interested in task 2.\nHost 12 is interested in task 12.\nHost 2 is interested in task 11.\nHost 8 is interested in task 4.\nHost 1 is interested in task 1.\nHost 0 is interested in task 14.\nHost 10 is interested in task 11.\nHost 11 is interested in task 14.\nHost 5 is interested in task 0.\nHost 4 is interested in task 11.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 0 is interested in task 10.\nHost 8 is interested in task 7.\nHost 4 is interested in task 12.\nHost 13 is interested in task 5.\nHost 5 is interested in task 13.\nHost 7 is interested in task 0.\nHost 12 is interested in task 2.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 11 is interested in task 3.\nHost 1 is interested in task 14.\nHost 0 is interested in task 6.\nHost 5 is interested in task 6.\nHost 5 is interested in task 4.\nHost 7 is interested in task 4.\nHost 10 is interested in task 10.\nHost 6 is interested in task 1.\nHost 12 is interested in task 6.\nHost 7 is interested in task 3.\nHost 0 is interested in task 2.\nHost 11 is interested in task 10.\nHost 4 is interested in task 14.\nHost 10 is interested in task 5.\nHost 6 is interested in task 11.\nHost 9 is interested in task 0.\nHost 9 is interested in task 13.\nHost 10 is interested in task 7.\nHost 6 is interested in task 10.\nHost 6 is interested in task 2.\nHost 10 is interested in task 4.\nHost 0 is interested in task 9.\nHost 2 is interested in task 8.\nHost 9 is interested in task 14.\nHost 7 is interested in task 7.\nHost 13 is interested in task 1.\nHost 9 is interested in task 11.\nHost 1 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1169", "image": "data/matching/graph_visual/hard/graph1169.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 8 is interested in task 2.\nHost 0 is interested in task 10.\nHost 2 is interested in task 3.\nHost 2 is interested in task 13.\nHost 9 is interested in task 6.\nHost 2 is interested in task 10.\nHost 7 is interested in task 4.\nHost 12 is interested in task 13.\nHost 4 is interested in task 9.\nHost 14 is interested in task 8.\nHost 12 is interested in task 11.\nHost 5 is interested in task 0.\nHost 14 is interested in task 12.\nHost 5 is interested in task 10.\nHost 1 is interested in task 0.\nHost 7 is interested in task 13.\nHost 14 is interested in task 2.\nHost 14 is interested in task 9.\nHost 12 is interested in task 1.\nHost 3 is interested in task 1.\nHost 10 is interested in task 1.\nHost 2 is interested in task 7.\nHost 11 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 6.\nHost 5 is interested in task 6.\nHost 14 is interested in task 6.\nHost 14 is interested in task 5.\nHost 9 is interested in task 11.\nHost 4 is interested in task 12.\nHost 1 is interested in task 5.\nHost 12 is interested in task 3.\nHost 3 is interested in task 4.\nHost 6 is interested in task 3.\nHost 2 is interested in task 8.\nHost 7 is interested in task 2.\nHost 6 is interested in task 5.\nHost 7 is interested in task 8.\nHost 10 is interested in task 10.\nHost 0 is interested in task 3.\nHost 13 is interested in task 0.\nHost 4 is interested in task 0.\nHost 5 is interested in task 12.\nHost 2 is interested in task 14.\nHost 11 is interested in task 8.\nHost 14 is interested in task 14.\nHost 1 is interested in task 10.\nHost 0 is interested in task 14.\nHost 14 is interested in task 4.\nHost 3 is interested in task 8.\nHost 5 is interested in task 9.\nHost 13 is interested in task 1.\nHost 14 is interested in task 3.\nHost 13 is interested in task 14.\nHost 11 is interested in task 3.\nHost 5 is interested in task 4.\nHost 12 is interested in task 14.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 2 is interested in task 11.\nHost 3 is interested in task 12.\nHost 13 is interested in task 13.\nHost 10 is interested in task 11.\nHost 12 is interested in task 10.\nHost 4 is interested in task 10.\nHost 1 is interested in task 4.\nHost 8 is interested in task 12.\nHost 12 is interested in task 9.\nHost 12 is interested in task 7.\nHost 3 is interested in task 0.\nHost 0 is interested in task 11.\nHost 9 is interested in task 3.\nHost 9 is interested in task 2.\nHost 11 is interested in task 12.\nHost 8 is interested in task 5.\nHost 9 is interested in task 7.\nHost 1 is interested in task 14.\nHost 1 is interested in task 13.\nHost 4 is interested in task 6.\nHost 6 is interested in task 7.\nHost 12 is interested in task 2.\nHost 2 is interested in task 2.\nHost 6 is interested in task 8.\nHost 14 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph679", "image": "data/matching/graph_visual/hard/graph679.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 6 is interested in task 9.\nHost 10 is interested in task 7.\nHost 9 is interested in task 4.\nHost 3 is interested in task 5.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 10 is interested in task 1.\nHost 8 is interested in task 5.\nHost 0 is interested in task 8.\nHost 1 is interested in task 4.\nHost 2 is interested in task 8.\nHost 7 is interested in task 4.\nHost 12 is interested in task 8.\nHost 12 is interested in task 9.\nHost 3 is interested in task 10.\nHost 1 is interested in task 8.\nHost 7 is interested in task 2.\nHost 10 is interested in task 2.\nHost 2 is interested in task 2.\nHost 12 is interested in task 2.\nHost 4 is interested in task 3.\nHost 6 is interested in task 10.\nHost 0 is interested in task 4.\nHost 4 is interested in task 7.\nHost 12 is interested in task 1.\nHost 6 is interested in task 4.\nHost 5 is interested in task 10.\nHost 3 is interested in task 2.\nHost 5 is interested in task 4.\nHost 8 is interested in task 10.\nHost 2 is interested in task 6.\nHost 1 is interested in task 5.\nHost 10 is interested in task 6.\nHost 7 is interested in task 10.\nHost 7 is interested in task 6.\nHost 3 is interested in task 7.\nHost 11 is interested in task 4.\nHost 11 is interested in task 3.\nHost 10 is interested in task 3.\nHost 7 is interested in task 8.\nHost 5 is interested in task 0.\nHost 0 is interested in task 6.\nHost 10 is interested in task 8.\nHost 1 is interested in task 7.\nHost 12 is interested in task 3.\nHost 3 is interested in task 0.\nHost 10 is interested in task 4.\nHost 4 is interested in task 8.\nHost 1 is interested in task 3.\nHost 6 is interested in task 3.\nHost 0 is interested in task 0.\nHost 12 is interested in task 0.\nHost 7 is interested in task 3.\nHost 9 is interested in task 1.\nHost 11 is interested in task 6.\nHost 8 is interested in task 2.\nHost 1 is interested in task 1.\nHost 9 is interested in task 7.\nHost 10 is interested in task 9.\nHost 6 is interested in task 5.\nHost 4 is interested in task 2.\nHost 12 is interested in task 7.\nHost 0 is interested in task 2.\nHost 10 is interested in task 0.\nHost 11 is interested in task 5.\nHost 11 is interested in task 9.\nHost 11 is interested in task 10.\nHost 6 is interested in task 6.\nHost 11 is interested in task 0.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph71", "image": "data/matching/graph_visual/hard/graph71.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 2 is interested in task 8.\nHost 7 is interested in task 4.\nHost 7 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 7.\nHost 3 is interested in task 1.\nHost 9 is interested in task 2.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 0 is interested in task 6.\nHost 7 is interested in task 0.\nHost 0 is interested in task 7.\nHost 2 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 5.\nHost 6 is interested in task 3.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 9 is interested in task 5.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 7 is interested in task 8.\nHost 3 is interested in task 0.\nHost 9 is interested in task 7.\nHost 5 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 0 is interested in task 4.\nHost 5 is interested in task 1.\nHost 9 is interested in task 4.\nHost 4 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph792", "image": "data/matching/graph_visual/hard/graph792.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 10 is interested in task 10.\nHost 8 is interested in task 3.\nHost 7 is interested in task 5.\nHost 11 is interested in task 11.\nHost 9 is interested in task 5.\nHost 5 is interested in task 6.\nHost 7 is interested in task 11.\nHost 4 is interested in task 12.\nHost 2 is interested in task 5.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 11 is interested in task 6.\nHost 0 is interested in task 13.\nHost 9 is interested in task 13.\nHost 11 is interested in task 4.\nHost 7 is interested in task 7.\nHost 9 is interested in task 12.\nHost 7 is interested in task 9.\nHost 11 is interested in task 3.\nHost 1 is interested in task 0.\nHost 4 is interested in task 10.\nHost 12 is interested in task 5.\nHost 12 is interested in task 3.\nHost 0 is interested in task 9.\nHost 12 is interested in task 1.\nHost 2 is interested in task 9.\nHost 0 is interested in task 11.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 13.\nHost 8 is interested in task 14.\nHost 6 is interested in task 3.\nHost 2 is interested in task 14.\nHost 11 is interested in task 1.\nHost 7 is interested in task 8.\nHost 7 is interested in task 12.\nHost 5 is interested in task 9.\nHost 4 is interested in task 14.\nHost 3 is interested in task 8.\nHost 10 is interested in task 0.\nHost 8 is interested in task 6.\nHost 5 is interested in task 0.\nHost 7 is interested in task 14.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 1.\nHost 6 is interested in task 13.\nHost 8 is interested in task 5.\nHost 12 is interested in task 12.\nHost 4 is interested in task 13.\nHost 2 is interested in task 11.\nHost 1 is interested in task 14.\nHost 10 is interested in task 11.\nHost 2 is interested in task 4.\nHost 6 is interested in task 0.\nHost 11 is interested in task 13.\nHost 0 is interested in task 3.\nHost 12 is interested in task 11.\nHost 4 is interested in task 2.\nHost 3 is interested in task 10.\nHost 12 is interested in task 2.\nHost 10 is interested in task 5.\nHost 7 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph144", "image": "data/matching/graph_visual/hard/graph144.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 6.\nHost 6 is interested in task 9.\nHost 1 is interested in task 8.\nHost 0 is interested in task 2.\nHost 8 is interested in task 7.\nHost 4 is interested in task 10.\nHost 7 is interested in task 8.\nHost 0 is interested in task 0.\nHost 5 is interested in task 4.\nHost 3 is interested in task 7.\nHost 7 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 3 is interested in task 8.\nHost 2 is interested in task 3.\nHost 2 is interested in task 9.\nHost 1 is interested in task 6.\nHost 6 is interested in task 0.\nHost 5 is interested in task 1.\nHost 6 is interested in task 2.\nHost 8 is interested in task 5.\nHost 0 is interested in task 3.\nHost 9 is interested in task 9.\nHost 2 is interested in task 7.\nHost 2 is interested in task 0.\nHost 8 is interested in task 4.\nHost 7 is interested in task 10.\nHost 1 is interested in task 7.\nHost 8 is interested in task 3.\nHost 0 is interested in task 7.\nHost 0 is interested in task 6.\nHost 0 is interested in task 9.\nHost 0 is interested in task 8.\nHost 4 is interested in task 0.\nHost 7 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 9.\nHost 4 is interested in task 1.\nHost 0 is interested in task 10.\nHost 9 is interested in task 5.\nHost 5 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1099", "image": "data/matching/graph_visual/hard/graph1099.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 1 is interested in task 8.\nHost 0 is interested in task 9.\nHost 0 is interested in task 10.\nHost 11 is interested in task 11.\nHost 5 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 5.\nHost 2 is interested in task 10.\nHost 3 is interested in task 2.\nHost 3 is interested in task 9.\nHost 0 is interested in task 4.\nHost 12 is interested in task 2.\nHost 12 is interested in task 11.\nHost 8 is interested in task 0.\nHost 8 is interested in task 6.\nHost 14 is interested in task 10.\nHost 7 is interested in task 5.\nHost 1 is interested in task 3.\nHost 0 is interested in task 2.\nHost 6 is interested in task 7.\nHost 11 is interested in task 10.\nHost 12 is interested in task 3.\nHost 11 is interested in task 6.\nHost 7 is interested in task 6.\nHost 10 is interested in task 9.\nHost 8 is interested in task 11.\nHost 10 is interested in task 5.\nHost 2 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 0.\nHost 6 is interested in task 4.\nHost 14 is interested in task 11.\nHost 10 is interested in task 0.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 11 is interested in task 0.\nHost 9 is interested in task 9.\nHost 3 is interested in task 10.\nHost 2 is interested in task 5.\nHost 13 is interested in task 12.\nHost 0 is interested in task 7.\nHost 7 is interested in task 11.\nHost 1 is interested in task 1.\nHost 13 is interested in task 7.\nHost 13 is interested in task 9.\nHost 4 is interested in task 8.\nHost 13 is interested in task 5.\nHost 10 is interested in task 7.\nHost 7 is interested in task 10.\nHost 9 is interested in task 7.\nHost 9 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 5.\nHost 13 is interested in task 1.\nHost 5 is interested in task 7.\nHost 13 is interested in task 4.\nHost 7 is interested in task 3.\nHost 10 is interested in task 6.\nHost 10 is interested in task 10.\nHost 4 is interested in task 11.\nHost 10 is interested in task 1.\nHost 2 is interested in task 8.\nHost 10 is interested in task 11.\nHost 8 is interested in task 8.\nHost 14 is interested in task 8.\nHost 1 is interested in task 10.\nHost 6 is interested in task 2.\nHost 6 is interested in task 9.\nHost 8 is interested in task 5.\nHost 7 is interested in task 9.\nHost 6 is interested in task 6.\nHost 12 is interested in task 5.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 10.\nHost 0 is interested in task 8.\nHost 14 is interested in task 12.\nHost 6 is interested in task 1.\nHost 13 is interested in task 0.\nHost 12 is interested in task 7.\nHost 7 is interested in task 12.\nHost 14 is interested in task 2.\nHost 12 is interested in task 1.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph361", "image": "data/matching/graph_visual/hard/graph361.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 9.\nHost 5 is interested in task 1.\nHost 9 is interested in task 8.\nHost 6 is interested in task 11.\nHost 6 is interested in task 1.\nHost 2 is interested in task 6.\nHost 5 is interested in task 12.\nHost 8 is interested in task 9.\nHost 4 is interested in task 9.\nHost 3 is interested in task 2.\nHost 7 is interested in task 8.\nHost 5 is interested in task 11.\nHost 6 is interested in task 8.\nHost 10 is interested in task 8.\nHost 5 is interested in task 10.\nHost 9 is interested in task 11.\nHost 0 is interested in task 1.\nHost 10 is interested in task 4.\nHost 5 is interested in task 7.\nHost 7 is interested in task 9.\nHost 8 is interested in task 4.\nHost 9 is interested in task 2.\nHost 6 is interested in task 5.\nHost 5 is interested in task 2.\nHost 6 is interested in task 9.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 9 is interested in task 4.\nHost 0 is interested in task 10.\nHost 10 is interested in task 5.\nHost 3 is interested in task 10.\nHost 7 is interested in task 3.\nHost 1 is interested in task 8.\nHost 10 is interested in task 10.\nHost 7 is interested in task 5.\nHost 1 is interested in task 11.\nHost 9 is interested in task 9.\nHost 3 is interested in task 11.\nHost 5 is interested in task 0.\nHost 4 is interested in task 8.\nHost 5 is interested in task 6.\nHost 10 is interested in task 12.\nHost 6 is interested in task 12.\nHost 5 is interested in task 8.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph639", "image": "data/matching/graph_visual/hard/graph639.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 12 is interested in task 8.\nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 8 is interested in task 7.\nHost 12 is interested in task 2.\nHost 8 is interested in task 6.\nHost 5 is interested in task 2.\nHost 10 is interested in task 3.\nHost 6 is interested in task 0.\nHost 10 is interested in task 0.\nHost 8 is interested in task 5.\nHost 12 is interested in task 1.\nHost 2 is interested in task 0.\nHost 11 is interested in task 5.\nHost 1 is interested in task 5.\nHost 6 is interested in task 1.\nHost 9 is interested in task 6.\nHost 10 is interested in task 6.\nHost 8 is interested in task 4.\nHost 8 is interested in task 9.\nHost 6 is interested in task 8.\nHost 3 is interested in task 8.\nHost 10 is interested in task 7.\nHost 9 is interested in task 7.\nHost 5 is interested in task 1.\nHost 8 is interested in task 2.\nHost 12 is interested in task 7.\nHost 9 is interested in task 9.\nHost 0 is interested in task 5.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 11 is interested in task 0.\nHost 7 is interested in task 2.\nHost 3 is interested in task 9.\nHost 2 is interested in task 9.\nHost 7 is interested in task 1.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 10 is interested in task 4.\nHost 12 is interested in task 6.\nHost 9 is interested in task 8.\nHost 10 is interested in task 8.\nHost 2 is interested in task 6.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 7 is interested in task 9.\nHost 9 is interested in task 5.\nHost 6 is interested in task 9.\nHost 4 is interested in task 5.\nHost 9 is interested in task 1.\nHost 10 is interested in task 5.\nHost 10 is interested in task 9.\nHost 2 is interested in task 8.\nHost 11 is interested in task 7.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 2 is interested in task 1.\nHost 7 is interested in task 7.\nHost 9 is interested in task 0.\nHost 3 is interested in task 5.\nHost 9 is interested in task 3.\nHost 7 is interested in task 5.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph282", "image": "data/matching/graph_visual/hard/graph282.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 1.\nHost 10 is interested in task 9.\nHost 9 is interested in task 4.\nHost 3 is interested in task 0.\nHost 6 is interested in task 7.\nHost 8 is interested in task 7.\nHost 5 is interested in task 3.\nHost 2 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 8.\nHost 1 is interested in task 5.\nHost 0 is interested in task 9.\nHost 6 is interested in task 2.\nHost 2 is interested in task 6.\nHost 5 is interested in task 9.\nHost 2 is interested in task 9.\nHost 3 is interested in task 9.\nHost 0 is interested in task 5.\nHost 8 is interested in task 3.\nHost 3 is interested in task 3.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 6 is interested in task 8.\nHost 7 is interested in task 8.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 4 is interested in task 9.\nHost 2 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 9 is interested in task 9.\nHost 5 is interested in task 5.\nHost 9 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 4.\nHost 2 is interested in task 8.\nHost 10 is interested in task 6.\nHost 8 is interested in task 9.\nHost 9 is interested in task 2.\nHost 8 is interested in task 2.\nHost 8 is interested in task 4.\nHost 8 is interested in task 1.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1035", "image": "data/matching/graph_visual/hard/graph1035.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 6 is interested in task 14.\nHost 7 is interested in task 15.\nHost 13 is interested in task 14.\nHost 12 is interested in task 13.\nHost 10 is interested in task 16.\nHost 12 is interested in task 0.\nHost 4 is interested in task 10.\nHost 12 is interested in task 4.\nHost 2 is interested in task 3.\nHost 5 is interested in task 4.\nHost 9 is interested in task 3.\nHost 4 is interested in task 13.\nHost 9 is interested in task 12.\nHost 11 is interested in task 3.\nHost 9 is interested in task 6.\nHost 3 is interested in task 12.\nHost 5 is interested in task 7.\nHost 3 is interested in task 14.\nHost 2 is interested in task 12.\nHost 3 is interested in task 2.\nHost 9 is interested in task 8.\nHost 10 is interested in task 7.\nHost 10 is interested in task 11.\nHost 2 is interested in task 6.\nHost 4 is interested in task 16.\nHost 11 is interested in task 15.\nHost 7 is interested in task 12.\nHost 4 is interested in task 0.\nHost 13 is interested in task 11.\nHost 10 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 5.\nHost 4 is interested in task 9.\nHost 6 is interested in task 11.\nHost 9 is interested in task 1.\nHost 11 is interested in task 13.\nHost 13 is interested in task 15.\nHost 1 is interested in task 1.\nHost 0 is interested in task 12.\nHost 7 is interested in task 13.\nHost 0 is interested in task 8.\nHost 6 is interested in task 12.\nHost 4 is interested in task 12.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 8.\nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 2 is interested in task 11.\nHost 6 is interested in task 13.\nHost 12 is interested in task 10.\nHost 12 is interested in task 3.\nHost 9 is interested in task 7.\nHost 0 is interested in task 15.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 8 is interested in task 8.\nHost 12 is interested in task 11.\nHost 5 is interested in task 16.\nHost 6 is interested in task 6.\nHost 6 is interested in task 1.\nHost 7 is interested in task 8.\nHost 0 is interested in task 13.\nHost 0 is interested in task 5.\nHost 1 is interested in task 11.\nHost 4 is interested in task 3.\nHost 0 is interested in task 14.\nHost 12 is interested in task 5.\nHost 6 is interested in task 2.\nHost 6 is interested in task 15.\nHost 4 is interested in task 15.\nHost 6 is interested in task 0.\nHost 12 is interested in task 7.\nHost 2 is interested in task 8.\nHost 0 is interested in task 11.\nHost 7 is interested in task 9.\nHost 2 is interested in task 14.\nHost 7 is interested in task 0.\nHost 2 is interested in task 7.\nHost 0 is interested in task 16.\nHost 10 is interested in task 12.\nHost 11 is interested in task 8.\nHost 7 is interested in task 3.\nHost 9 is interested in task 16.\nHost 12 is interested in task 9.\nHost 1 is interested in task 3.\nHost 1 is interested in task 10.\nHost 10 is interested in task 10.\nHost 7 is interested in task 1.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph659", "image": "data/matching/graph_visual/hard/graph659.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 6 is interested in task 9.\nHost 6 is interested in task 4.\nHost 10 is interested in task 4.\nHost 2 is interested in task 9.\nHost 1 is interested in task 8.\nHost 3 is interested in task 5.\nHost 12 is interested in task 7.\nHost 2 is interested in task 3.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 1 is interested in task 3.\nHost 5 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 9.\nHost 1 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 2.\nHost 6 is interested in task 8.\nHost 2 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 11 is interested in task 8.\nHost 12 is interested in task 9.\nHost 11 is interested in task 1.\nHost 9 is interested in task 5.\nHost 9 is interested in task 7.\nHost 3 is interested in task 9.\nHost 9 is interested in task 2.\nHost 0 is interested in task 5.\nHost 10 is interested in task 5.\nHost 2 is interested in task 4.\nHost 9 is interested in task 4.\nHost 2 is interested in task 7.\nHost 4 is interested in task 5.\nHost 12 is interested in task 1.\nHost 4 is interested in task 9.\nHost 2 is interested in task 5.\nHost 9 is interested in task 1.\nHost 0 is interested in task 1.\nHost 0 is interested in task 9.\nHost 9 is interested in task 9.\nHost 7 is interested in task 7.\nHost 4 is interested in task 1.\nHost 2 is interested in task 8.\nHost 1 is interested in task 7.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph704", "image": "data/matching/graph_visual/hard/graph704.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 10.\nHost 3 is interested in task 9.\nHost 3 is interested in task 4.\nHost 10 is interested in task 4.\nHost 0 is interested in task 7.\nHost 7 is interested in task 9.\nHost 1 is interested in task 9.\nHost 1 is interested in task 8.\nHost 4 is interested in task 9.\nHost 5 is interested in task 6.\nHost 10 is interested in task 8.\nHost 11 is interested in task 11.\nHost 11 is interested in task 1.\nHost 12 is interested in task 10.\nHost 8 is interested in task 3.\nHost 6 is interested in task 7.\nHost 11 is interested in task 10.\nHost 5 is interested in task 2.\nHost 0 is interested in task 8.\nHost 0 is interested in task 5.\nHost 9 is interested in task 2.\nHost 5 is interested in task 8.\nHost 1 is interested in task 4.\nHost 0 is interested in task 1.\nHost 7 is interested in task 2.\nHost 11 is interested in task 6.\nHost 10 is interested in task 7.\nHost 1 is interested in task 11.\nHost 12 is interested in task 7.\nHost 1 is interested in task 3.\nHost 12 is interested in task 11.\nHost 3 is interested in task 10.\nHost 2 is interested in task 7.\nHost 0 is interested in task 0.\nHost 10 is interested in task 3.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 10 is interested in task 6.\nHost 3 is interested in task 6.\nHost 0 is interested in task 11.\nHost 6 is interested in task 5.\nHost 1 is interested in task 2.\nHost 8 is interested in task 0.\nHost 11 is interested in task 9.\nHost 3 is interested in task 11.\nHost 1 is interested in task 5.\nHost 10 is interested in task 0.\nHost 8 is interested in task 9.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 2.\nHost 11 is interested in task 3.\nHost 8 is interested in task 4.\nHost 0 is interested in task 10.\nHost 2 is interested in task 10.\nHost 10 is interested in task 1.\nHost 8 is interested in task 7.\nHost 8 is interested in task 10.\nHost 6 is interested in task 9.\nHost 1 is interested in task 10.\nHost 9 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 3.\nHost 7 is interested in task 7.\nHost 2 is interested in task 9.\nHost 2 is interested in task 1.\nHost 11 is interested in task 0.\nHost 2 is interested in task 2.\nHost 12 is interested in task 5.\nHost 0 is interested in task 3.\nHost 7 is interested in task 8.\nHost 9 is interested in task 0.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph319", "image": "data/matching/graph_visual/hard/graph319.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 9.\nHost 9 is interested in task 10.\nHost 3 is interested in task 8.\nHost 0 is interested in task 5.\nHost 1 is interested in task 3.\nHost 10 is interested in task 5.\nHost 2 is interested in task 3.\nHost 7 is interested in task 9.\nHost 0 is interested in task 7.\nHost 0 is interested in task 6.\nHost 6 is interested in task 5.\nHost 1 is interested in task 0.\nHost 5 is interested in task 10.\nHost 0 is interested in task 1.\nHost 8 is interested in task 4.\nHost 1 is interested in task 5.\nHost 10 is interested in task 7.\nHost 6 is interested in task 0.\nHost 2 is interested in task 0.\nHost 8 is interested in task 2.\nHost 3 is interested in task 9.\nHost 0 is interested in task 2.\nHost 9 is interested in task 9.\nHost 3 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 3.\nHost 6 is interested in task 8.\nHost 7 is interested in task 0.\nHost 5 is interested in task 5.\nHost 0 is interested in task 10.\nHost 9 is interested in task 4.\nHost 6 is interested in task 10.\nHost 2 is interested in task 4.\nHost 5 is interested in task 8.\nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 4 is interested in task 7.\nHost 9 is interested in task 5.\nHost 7 is interested in task 4.\nHost 6 is interested in task 6.\nHost 9 is interested in task 7.\nHost 3 is interested in task 6.\nHost 9 is interested in task 3.\nHost 10 is interested in task 4.\nHost 8 is interested in task 9.\nHost 10 is interested in task 0.\nHost 6 is interested in task 7.\nHost 1 is interested in task 2.\nHost 4 is interested in task 4.\nHost 6 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph327", "image": "data/matching/graph_visual/hard/graph327.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 0 is interested in task 8.\nHost 1 is interested in task 1.\nHost 9 is interested in task 7.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6.\nHost 9 is interested in task 10.\nHost 9 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 3 is interested in task 4.\nHost 10 is interested in task 8.\nHost 1 is interested in task 2.\nHost 8 is interested in task 8.\nHost 8 is interested in task 7.\nHost 2 is interested in task 6.\nHost 8 is interested in task 1.\nHost 10 is interested in task 3.\nHost 3 is interested in task 9.\nHost 1 is interested in task 7.\nHost 4 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 10.\nHost 3 is interested in task 7.\nHost 0 is interested in task 6.\nHost 4 is interested in task 10.\nHost 4 is interested in task 6.\nHost 9 is interested in task 4.\nHost 10 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 10.\nHost 2 is interested in task 10.\nHost 7 is interested in task 8.\nHost 9 is interested in task 6.\nHost 10 is interested in task 4.\nHost 0 is interested in task 10.\nHost 1 is interested in task 8.\nHost 7 is interested in task 7.\nHost 10 is interested in task 7.\nHost 2 is interested in task 0.\nHost 8 is interested in task 5.\nHost 2 is interested in task 8.\nHost 6 is interested in task 7.\nHost 8 is interested in task 10.\nHost 7 is interested in task 5.\nHost 10 is interested in task 0.\nHost 10 is interested in task 5.\nHost 8 is interested in task 3.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph751", "image": "data/matching/graph_visual/hard/graph751.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 1.\nHost 11 is interested in task 3.\nHost 11 is interested in task 0.\nHost 6 is interested in task 6.\nHost 9 is interested in task 9.\nHost 10 is interested in task 12.\nHost 11 is interested in task 10.\nHost 5 is interested in task 6.\nHost 12 is interested in task 4.\nHost 6 is interested in task 8.\nHost 7 is interested in task 11.\nHost 0 is interested in task 6.\nHost 2 is interested in task 2.\nHost 0 is interested in task 10.\nHost 4 is interested in task 3.\nHost 11 is interested in task 6.\nHost 10 is interested in task 7.\nHost 3 is interested in task 8.\nHost 6 is interested in task 12.\nHost 5 is interested in task 10.\nHost 8 is interested in task 6.\nHost 6 is interested in task 10.\nHost 9 is interested in task 0.\nHost 5 is interested in task 3.\nHost 10 is interested in task 5.\nHost 4 is interested in task 11.\nHost 9 is interested in task 3.\nHost 9 is interested in task 4.\nHost 6 is interested in task 4.\nHost 9 is interested in task 13.\nHost 1 is interested in task 3.\nHost 4 is interested in task 6.\nHost 2 is interested in task 3.\nHost 10 is interested in task 3.\nHost 12 is interested in task 8.\nHost 9 is interested in task 12.\nHost 6 is interested in task 3.\nHost 7 is interested in task 0.\nHost 7 is interested in task 3.\nHost 5 is interested in task 4.\nHost 12 is interested in task 7.\nHost 3 is interested in task 9.\nHost 0 is interested in task 11.\nHost 0 is interested in task 1.\nHost 0 is interested in task 2.\nHost 7 is interested in task 12.\nHost 0 is interested in task 9.\nHost 8 is interested in task 13.\nHost 8 is interested in task 12.\nHost 11 is interested in task 9.\nHost 2 is interested in task 10.\nHost 4 is interested in task 7.\nHost 6 is interested in task 1.\nHost 0 is interested in task 3.\nHost 10 is interested in task 11.\nHost 1 is interested in task 6.\nHost 5 is interested in task 8.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 0 is interested in task 7.\nHost 10 is interested in task 2.\nHost 4 is interested in task 12.\nHost 10 is interested in task 4.\nHost 4 is interested in task 13.\nHost 6 is interested in task 13.\nHost 0 is interested in task 0.\nHost 9 is interested in task 7.\nHost 0 is interested in task 5.\nHost 6 is interested in task 5.\nHost 2 is interested in task 9.\nHost 12 is interested in task 5.\nHost 10 is interested in task 0.\nHost 6 is interested in task 9.\nHost 5 is interested in task 7.\nHost 9 is interested in task 5.\nHost 2 is interested in task 12.\nHost 5 is interested in task 13.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 0.\nHost 12 is interested in task 12.\nHost 9 is interested in task 6.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1073", "image": "data/matching/graph_visual/hard/graph1073.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 0.\nHost 9 is interested in task 3.\nHost 13 is interested in task 10.\nHost 0 is interested in task 3.\nHost 12 is interested in task 1.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0.\nHost 11 is interested in task 9.\nHost 1 is interested in task 7.\nHost 2 is interested in task 0.\nHost 6 is interested in task 2.\nHost 13 is interested in task 7.\nHost 1 is interested in task 11.\nHost 11 is interested in task 3.\nHost 7 is interested in task 2.\nHost 5 is interested in task 5.\nHost 5 is interested in task 8.\nHost 13 is interested in task 6.\nHost 3 is interested in task 2.\nHost 7 is interested in task 11.\nHost 12 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0.\nHost 11 is interested in task 10.\nHost 14 is interested in task 6.\nHost 11 is interested in task 1.\nHost 9 is interested in task 4.\nHost 2 is interested in task 10.\nHost 0 is interested in task 4.\nHost 13 is interested in task 1.\nHost 4 is interested in task 3.\nHost 10 is interested in task 10.\nHost 14 is interested in task 9.\nHost 1 is interested in task 9.\nHost 10 is interested in task 7.\nHost 7 is interested in task 9.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 6 is interested in task 4.\nHost 8 is interested in task 4.\nHost 2 is interested in task 7.\nHost 6 is interested in task 7.\nHost 9 is interested in task 10.\nHost 3 is interested in task 6.\nHost 10 is interested in task 2.\nHost 10 is interested in task 6.\nHost 13 is interested in task 4.\nHost 10 is interested in task 1.\nHost 10 is interested in task 0.\nHost 0 is interested in task 8.\nHost 11 is interested in task 4.\nHost 2 is interested in task 9.\nHost 1 is interested in task 8.\nHost 1 is interested in task 2.\nHost 8 is interested in task 11.\nHost 2 is interested in task 3.\nHost 11 is interested in task 5.\nHost 0 is interested in task 2.\nHost 6 is interested in task 9.\nHost 2 is interested in task 6.\nHost 11 is interested in task 0.\nHost 10 is interested in task 11.\nHost 8 is interested in task 5.\nHost 6 is interested in task 8.\nHost 0 is interested in task 0.\nHost 7 is interested in task 3.\nHost 2 is interested in task 4.\nHost 1 is interested in task 10.\nHost 7 is interested in task 4.\nHost 0 is interested in task 6.\nHost 9 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph589", "image": "data/matching/graph_visual/hard/graph589.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 10.\nHost 9 is interested in task 8.\nHost 2 is interested in task 7.\nHost 6 is interested in task 13.\nHost 11 is interested in task 0.\nHost 4 is interested in task 6.\nHost 11 is interested in task 9.\nHost 4 is interested in task 1.\nHost 9 is interested in task 1.\nHost 8 is interested in task 2.\nHost 4 is interested in task 0.\nHost 2 is interested in task 8.\nHost 6 is interested in task 2.\nHost 5 is interested in task 10.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 6.\nHost 4 is interested in task 9.\nHost 11 is interested in task 3.\nHost 0 is interested in task 11.\nHost 9 is interested in task 9.\nHost 7 is interested in task 0.\nHost 5 is interested in task 2.\nHost 11 is interested in task 11.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 8 is interested in task 8.\nHost 11 is interested in task 7.\nHost 4 is interested in task 10.\nHost 4 is interested in task 11.\nHost 9 is interested in task 7.\nHost 8 is interested in task 10.\nHost 4 is interested in task 4.\nHost 6 is interested in task 6.\nHost 1 is interested in task 5.\nHost 11 is interested in task 6.\nHost 9 is interested in task 0.\nHost 6 is interested in task 3.\nHost 8 is interested in task 7.\nHost 7 is interested in task 4.\nHost 4 is interested in task 2.\nHost 11 is interested in task 2.\nHost 9 is interested in task 5.\nHost 11 is interested in task 5.\nHost 8 is interested in task 6.\nHost 5 is interested in task 0.\nHost 3 is interested in task 1.\nHost 7 is interested in task 10.\nHost 8 is interested in task 11.\nHost 11 is interested in task 8.\nHost 7 is interested in task 13.\nHost 9 is interested in task 11.\nHost 0 is interested in task 13.\nHost 9 is interested in task 13.\nHost 7 is interested in task 6.\nHost 11 is interested in task 12.\nHost 4 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph670", "image": "data/matching/graph_visual/hard/graph670.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 4 is interested in task 4.\nHost 10 is interested in task 3.\nHost 2 is interested in task 4.\nHost 11 is interested in task 5.\nHost 5 is interested in task 3.\nHost 7 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 6.\nHost 6 is interested in task 1.\nHost 9 is interested in task 8.\nHost 4 is interested in task 1.\nHost 10 is interested in task 5.\nHost 6 is interested in task 10.\nHost 0 is interested in task 4.\nHost 5 is interested in task 5.\nHost 11 is interested in task 8.\nHost 5 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 0 is interested in task 5.\nHost 3 is interested in task 5.\nHost 1 is interested in task 9.\nHost 0 is interested in task 2.\nHost 4 is interested in task 2.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 9 is interested in task 9.\nHost 0 is interested in task 8.\nHost 4 is interested in task 0.\nHost 0 is interested in task 0.\nHost 9 is interested in task 1.\nHost 6 is interested in task 2.\nHost 7 is interested in task 8.\nHost 3 is interested in task 0.\nHost 7 is interested in task 2.\nHost 12 is interested in task 4.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 8 is interested in task 7.\nHost 6 is interested in task 3.\nHost 7 is interested in task 7.\nHost 0 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 7.\nHost 10 is interested in task 8.\nHost 7 is interested in task 10.\nHost 0 is interested in task 10.\nHost 5 is interested in task 2.\nHost 12 is interested in task 5.\nHost 9 is interested in task 0.\nHost 7 is interested in task 3.\nHost 0 is interested in task 3.\nHost 9 is interested in task 6.\nHost 12 is interested in task 1.\nHost 4 is interested in task 10.\nHost 7 is interested in task 1.\nHost 10 is interested in task 6.\nHost 11 is interested in task 10.\nHost 6 is interested in task 9.\nHost 11 is interested in task 9.\nHost 11 is interested in task 1.\nHost 3 is interested in task 1.\nHost 10 is interested in task 1.\nHost 5 is interested in task 1.\nHost 12 is interested in task 9.\nHost 9 is interested in task 10.\nHost 7 is interested in task 4.\nHost 2 is interested in task 7.\nHost 9 is interested in task 4.\nHost 6 is interested in task 8.\nHost 3 is interested in task 2.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 5 is interested in task 10.\nHost 11 is interested in task 6.\nHost 5 is interested in task 8.\nHost 8 is interested in task 1.\nHost 0 is interested in task 6.\nHost 9 is interested in task 2.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1", "image": "data/matching/graph_visual/hard/graph1.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 6.\nHost 5 is interested in task 3.\nHost 5 is interested in task 6.\nHost 9 is interested in task 6.\nHost 5 is interested in task 4.\nHost 9 is interested in task 5.\nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 4 is interested in task 3.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 6 is interested in task 0.\nHost 8 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4.\nHost 6 is interested in task 5.\nHost 0 is interested in task 3.\nHost 7 is interested in task 5.\nHost 0 is interested in task 6.\nHost 8 is interested in task 1.\nHost 5 is interested in task 5.\nHost 0 is interested in task 1.\nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 1 is interested in task 0.\nHost 4 is interested in task 6.\nHost 7 is interested in task 6.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph1025", "image": "data/matching/graph_visual/hard/graph1025.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 9.\nHost 1 is interested in task 6.\nHost 8 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 6.\nHost 12 is interested in task 14.\nHost 11 is interested in task 14.\nHost 1 is interested in task 10.\nHost 4 is interested in task 1.\nHost 5 is interested in task 9.\nHost 13 is interested in task 8.\nHost 9 is interested in task 1.\nHost 9 is interested in task 3.\nHost 7 is interested in task 1.\nHost 0 is interested in task 7.\nHost 0 is interested in task 8.\nHost 2 is interested in task 5.\nHost 13 is interested in task 1.\nHost 10 is interested in task 5.\nHost 11 is interested in task 16.\nHost 10 is interested in task 11.\nHost 8 is interested in task 15.\nHost 5 is interested in task 7.\nHost 6 is interested in task 14.\nHost 7 is interested in task 10.\nHost 7 is interested in task 15.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 13 is interested in task 6.\nHost 7 is interested in task 8.\nHost 13 is interested in task 14.\nHost 1 is interested in task 8.\nHost 8 is interested in task 9.\nHost 12 is interested in task 0.\nHost 11 is interested in task 4.\nHost 5 is interested in task 2.\nHost 12 is interested in task 7.\nHost 5 is interested in task 15.\nHost 6 is interested in task 9.\nHost 9 is interested in task 6.\nHost 13 is interested in task 13.\nHost 6 is interested in task 12.\nHost 3 is interested in task 9.\nHost 8 is interested in task 13.\nHost 13 is interested in task 5.\nHost 4 is interested in task 10.\nHost 8 is interested in task 11.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 11 is interested in task 1.\nHost 5 is interested in task 14.\nHost 12 is interested in task 3.\nHost 11 is interested in task 7.\nHost 10 is interested in task 3.\nHost 12 is interested in task 10.\nHost 2 is interested in task 4.\nHost 1 is interested in task 11.\nHost 11 is interested in task 9.\nHost 8 is interested in task 14.\nHost 8 is interested in task 12.\nHost 7 is interested in task 4.\nHost 12 is interested in task 8.\nHost 5 is interested in task 13.\nHost 12 is interested in task 12.\nHost 6 is interested in task 5.\nHost 0 is interested in task 9.\nHost 1 is interested in task 2.\nHost 5 is interested in task 16.\nHost 10 is interested in task 7.\nHost 10 is interested in task 13.\nHost 8 is interested in task 8.\nHost 2 is interested in task 14.\nHost 10 is interested in task 15.\nHost 9 is interested in task 2.\nHost 12 is interested in task 15.\nHost 3 is interested in task 11.\nHost 2 is interested in task 3.\nHost 13 is interested in task 10.\nHost 3 is interested in task 1.\nHost 10 is interested in task 8.\nHost 13 is interested in task 16.\nHost 7 is interested in task 6.\nHost 1 is interested in task 4.\nHost 9 is interested in task 10.\nHost 2 is interested in task 2.\nHost 10 is interested in task 14.\nHost 11 is interested in task 15.\nHost 0 is interested in task 4.\nHost 8 is interested in task 10.\nHost 12 is interested in task 13.\nHost 13 is interested in task 15.\nHost 1 is interested in task 13.\nHost 1 is interested in task 9.\nHost 10 is interested in task 1.\nHost 8 is interested in task 3.\nHost 6 is interested in task 8.\nHost 7 is interested in task 13.\nHost 9 is interested in task 16.\nHost 12 is interested in task 5.\nHost 3 is interested in task 4.\nHost 0 is interested in task 16.\nHost 7 is interested in task 11.\nHost 6 is interested in task 2.\nHost 6 is interested in task 4.\nHost 1 is interested in task 12.\nHost 10 is interested in task 6.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph349", "image": "data/matching/graph_visual/hard/graph349.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 10 is interested in task 2.\nHost 10 is interested in task 8.\nHost 3 is interested in task 6.\nHost 9 is interested in task 0.\nHost 7 is interested in task 1.\nHost 8 is interested in task 5.\nHost 6 is interested in task 2.\nHost 1 is interested in task 3.\nHost 10 is interested in task 0.\nHost 2 is interested in task 7.\nHost 7 is interested in task 8.\nHost 4 is interested in task 11.\nHost 10 is interested in task 4.\nHost 6 is interested in task 8.\nHost 0 is interested in task 7.\nHost 4 is interested in task 10.\nHost 1 is interested in task 8.\nHost 9 is interested in task 4.\nHost 6 is interested in task 11.\nHost 2 is interested in task 3.\nHost 0 is interested in task 10.\nHost 10 is interested in task 9.\nHost 10 is interested in task 7.\nHost 9 is interested in task 9.\nHost 7 is interested in task 3.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3.\nHost 0 is interested in task 2.\nHost 8 is interested in task 6.\nHost 5 is interested in task 2.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 0 is interested in task 6.\nHost 9 is interested in task 8.\nHost 9 is interested in task 2.\nHost 9 is interested in task 10.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 10.\nHost 10 is interested in task 6.\nHost 6 is interested in task 7.\nHost 9 is interested in task 11.\nHost 2 is interested in task 11.\nHost 6 is interested in task 4.\nHost 1 is interested in task 11.\nHost 9 is interested in task 5.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1023", "image": "data/matching/graph_visual/hard/graph1023.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 3.\nHost 2 is interested in task 9.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 12 is interested in task 2.\nHost 6 is interested in task 9.\nHost 7 is interested in task 8.\nHost 10 is interested in task 8.\nHost 13 is interested in task 7.\nHost 0 is interested in task 15.\nHost 6 is interested in task 13.\nHost 2 is interested in task 11.\nHost 6 is interested in task 12.\nHost 8 is interested in task 8.\nHost 4 is interested in task 16.\nHost 1 is interested in task 7.\nHost 12 is interested in task 4.\nHost 10 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 4 is interested in task 6.\nHost 12 is interested in task 10.\nHost 12 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 10.\nHost 6 is interested in task 0.\nHost 2 is interested in task 12.\nHost 8 is interested in task 12.\nHost 5 is interested in task 2.\nHost 9 is interested in task 10.\nHost 11 is interested in task 11.\nHost 4 is interested in task 13.\nHost 9 is interested in task 15.\nHost 13 is interested in task 11.\nHost 3 is interested in task 16.\nHost 6 is interested in task 14.\nHost 12 is interested in task 5.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 11 is interested in task 13.\nHost 0 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 13.\nHost 12 is interested in task 3.\nHost 4 is interested in task 15.\nHost 1 is interested in task 5.\nHost 12 is interested in task 0.\nHost 8 is interested in task 4.\nHost 5 is interested in task 9.\nHost 5 is interested in task 5.\nHost 10 is interested in task 4.\nHost 8 is interested in task 15.\nHost 5 is interested in task 0.\nHost 7 is interested in task 15.\nHost 0 is interested in task 10.\nHost 6 is interested in task 10.\nHost 2 is interested in task 14.\nHost 2 is interested in task 4.\nHost 10 is interested in task 9.\nHost 1 is interested in task 14.\nHost 7 is interested in task 10.\nHost 6 is interested in task 3.\nHost 10 is interested in task 11.\nHost 7 is interested in task 11.\nHost 4 is interested in task 1.\nHost 6 is interested in task 6.\nHost 6 is interested in task 11.\nHost 10 is interested in task 12.\nHost 5 is interested in task 12.\nHost 5 is interested in task 7.\nHost 4 is interested in task 11.\nHost 13 is interested in task 1.\nHost 13 is interested in task 0.\nHost 13 is interested in task 8.\nHost 6 is interested in task 15.\nHost 4 is interested in task 4.\nHost 12 is interested in task 1.\nHost 0 is interested in task 2.\nHost 13 is interested in task 12.\nHost 1 is interested in task 9.\nHost 13 is interested in task 6.\nHost 11 is interested in task 6.\nHost 10 is interested in task 15.\nHost 3 is interested in task 2.\nHost 8 is interested in task 0.\nHost 5 is interested in task 11.\nHost 7 is interested in task 2.\nHost 9 is interested in task 1.\nHost 7 is interested in task 3.\nHost 8 is interested in task 10.\nHost 1 is interested in task 4.\nHost 6 is interested in task 8.\nHost 2 is interested in task 16.\nHost 12 is interested in task 12.\nHost 0 is interested in task 14.\nHost 1 is interested in task 15.\nHost 6 is interested in task 7.\nHost 9 is interested in task 3.\nHost 8 is interested in task 14.\nHost 8 is interested in task 2.\nHost 13 is interested in task 9.\nHost 10 is interested in task 5.\nHost 7 is interested in task 4.\nHost 3 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph171", "image": "data/matching/graph_visual/hard/graph171.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 6 is interested in task 1.\nHost 0 is interested in task 11.\nHost 6 is interested in task 11.\nHost 5 is interested in task 2.\nHost 9 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 5.\nHost 4 is interested in task 5.\nHost 4 is interested in task 9.\nHost 7 is interested in task 10.\nHost 1 is interested in task 6.\nHost 4 is interested in task 10.\nHost 4 is interested in task 4.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 1 is interested in task 10.\nHost 4 is interested in task 1.\nHost 9 is interested in task 10.\nHost 8 is interested in task 10.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 7 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 8.\nHost 6 is interested in task 10.\nHost 3 is interested in task 6.\nHost 3 is interested in task 11.\nHost 2 is interested in task 9.\nHost 5 is interested in task 7.\nHost 5 is interested in task 3.\nHost 6 is interested in task 9.\nHost 0 is interested in task 5.\nHost 2 is interested in task 4.\nHost 3 is interested in task 7.\nHost 8 is interested in task 6.\nHost 4 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 0.\nHost 7 is interested in task 9.\nHost 3 is interested in task 4.\nHost 1 is interested in task 7.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph308", "image": "data/matching/graph_visual/hard/graph308.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 10 is interested in task 0.\nHost 0 is interested in task 8.\nHost 4 is interested in task 2.\nHost 4 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 6.\nHost 2 is interested in task 8.\nHost 7 is interested in task 6.\nHost 1 is interested in task 10.\nHost 4 is interested in task 9.\nHost 6 is interested in task 2.\nHost 9 is interested in task 8.\nHost 10 is interested in task 7.\nHost 8 is interested in task 5.\nHost 9 is interested in task 6.\nHost 0 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 9.\nHost 10 is interested in task 8.\nHost 0 is interested in task 3.\nHost 8 is interested in task 6.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 9 is interested in task 3.\nHost 5 is interested in task 7.\nHost 7 is interested in task 2.\nHost 7 is interested in task 4.\nHost 2 is interested in task 1.\nHost 8 is interested in task 4.\nHost 8 is interested in task 9.\nHost 5 is interested in task 1.\nHost 2 is interested in task 2.\nHost 1 is interested in task 9.\nHost 1 is interested in task 5.\nHost 10 is interested in task 4.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 6.\nHost 0 is interested in task 10.\nHost 10 is interested in task 6.\nHost 5 is interested in task 8.\nHost 9 is interested in task 4.\nHost 6 is interested in task 0.\nHost 1 is interested in task 7.\nHost 4 is interested in task 10.\nHost 5 is interested in task 2.\nHost 1 is interested in task 6.\nHost 10 is interested in task 3.\nHost 9 is interested in task 10.\nHost 5 is interested in task 10.\nHost 9 is interested in task 5.\nHost 5 is interested in task 5.\nHost 0 is interested in task 0.\nHost 2 is interested in task 9.\nHost 3 is interested in task 10.\nHost 10 is interested in task 2.\nHost 5 is interested in task 9.\nHost 7 is interested in task 1.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph864", "image": "data/matching/graph_visual/hard/graph864.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 7 is interested in task 8.\nHost 4 is interested in task 6.\nHost 9 is interested in task 5.\nHost 6 is interested in task 4.\nHost 12 is interested in task 6.\nHost 3 is interested in task 3.\nHost 9 is interested in task 6.\nHost 12 is interested in task 8.\nHost 5 is interested in task 6.\nHost 3 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 9.\nHost 13 is interested in task 7.\nHost 13 is interested in task 10.\nHost 7 is interested in task 0.\nHost 12 is interested in task 10.\nHost 13 is interested in task 9.\nHost 0 is interested in task 6.\nHost 3 is interested in task 10.\nHost 7 is interested in task 1.\nHost 7 is interested in task 3.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 9.\nHost 13 is interested in task 6.\nHost 12 is interested in task 0.\nHost 7 is interested in task 6.\nHost 12 is interested in task 4.\nHost 2 is interested in task 6.\nHost 1 is interested in task 4.\nHost 8 is interested in task 3.\nHost 4 is interested in task 10.\nHost 3 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 10.\nHost 7 is interested in task 7.\nHost 1 is interested in task 6.\nHost 2 is interested in task 1.\nHost 13 is interested in task 2.\nHost 8 is interested in task 4.\nHost 0 is interested in task 2.\nHost 9 is interested in task 7.\nHost 11 is interested in task 4.\nHost 8 is interested in task 9.\nHost 12 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 9.\nHost 4 is interested in task 9.\nHost 3 is interested in task 8.\nHost 10 is interested in task 8.\nHost 5 is interested in task 2.\nHost 5 is interested in task 8.\nHost 11 is interested in task 7.\nHost 2 is interested in task 8.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 1.\nHost 11 is interested in task 9.\nHost 13 is interested in task 0.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph891", "image": "data/matching/graph_visual/hard/graph891.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 9.\nHost 7 is interested in task 7.\nHost 9 is interested in task 10.\nHost 13 is interested in task 3.\nHost 11 is interested in task 6.\nHost 2 is interested in task 1.\nHost 0 is interested in task 9.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 2.\nHost 10 is interested in task 6.\nHost 5 is interested in task 10.\nHost 6 is interested in task 6.\nHost 8 is interested in task 10.\nHost 9 is interested in task 3.\nHost 3 is interested in task 8.\nHost 10 is interested in task 5.\nHost 5 is interested in task 9.\nHost 3 is interested in task 2.\nHost 12 is interested in task 1.\nHost 13 is interested in task 11.\nHost 0 is interested in task 11.\nHost 10 is interested in task 8.\nHost 13 is interested in task 0.\nHost 7 is interested in task 0.\nHost 11 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 5.\nHost 12 is interested in task 10.\nHost 1 is interested in task 9.\nHost 9 is interested in task 7.\nHost 0 is interested in task 1.\nHost 8 is interested in task 11.\nHost 11 is interested in task 8.\nHost 7 is interested in task 2.\nHost 13 is interested in task 1.\nHost 12 is interested in task 8.\nHost 2 is interested in task 10.\nHost 9 is interested in task 1.\nHost 3 is interested in task 10.\nHost 11 is interested in task 1.\nHost 10 is interested in task 0.\nHost 8 is interested in task 2.\nHost 7 is interested in task 5.\nHost 9 is interested in task 11.\nHost 13 is interested in task 7.\nHost 4 is interested in task 7.\nHost 0 is interested in task 0.\nHost 7 is interested in task 9.\nHost 0 is interested in task 3.\nHost 8 is interested in task 8.\nHost 6 is interested in task 2.\nHost 9 is interested in task 5.\nHost 10 is interested in task 7.\nHost 6 is interested in task 11.\nHost 12 is interested in task 3.\nHost 4 is interested in task 6.\nHost 3 is interested in task 9.\nHost 7 is interested in task 3.\nHost 6 is interested in task 10.\nHost 5 is interested in task 5.\nHost 6 is interested in task 7.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 11 is interested in task 3.\nHost 0 is interested in task 4.\nHost 5 is interested in task 8.\nHost 3 is interested in task 3.\nHost 2 is interested in task 4.\nHost 9 is interested in task 0.\nHost 0 is interested in task 8.\nHost 11 is interested in task 7.\nHost 4 is interested in task 3.\nHost 4 is interested in task 11.\nHost 7 is interested in task 10.\nHost 8 is interested in task 6.\nHost 3 is interested in task 5.\nHost 8 is interested in task 7.\nHost 11 is interested in task 11.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph113", "image": "data/matching/graph_visual/hard/graph113.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 1 is interested in task 7.\nHost 1 is interested in task 3.\nHost 7 is interested in task 8.\nHost 6 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 9.\nHost 5 is interested in task 2.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 4 is interested in task 6.\nHost 9 is interested in task 3.\nHost 8 is interested in task 9.\nHost 6 is interested in task 8.\nHost 5 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 8 is interested in task 5.\nHost 3 is interested in task 9.\nHost 2 is interested in task 7.\nHost 1 is interested in task 8.\nHost 1 is interested in task 4.\nHost 9 is interested in task 4.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 9 is interested in task 7.\nHost 5 is interested in task 0.\nHost 8 is interested in task 8.\nHost 9 is interested in task 9.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 5 is interested in task 3.\nHost 9 is interested in task 0.\nHost 1 is interested in task 2.\nHost 3 is interested in task 8.\nHost 3 is interested in task 5.\nHost 5 is interested in task 7.\nHost 6 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph870", "image": "data/matching/graph_visual/hard/graph870.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 5 is interested in task 9.\nHost 13 is interested in task 5.\nHost 11 is interested in task 1.\nHost 5 is interested in task 6.\nHost 5 is interested in task 11.\nHost 0 is interested in task 5.\nHost 9 is interested in task 3.\nHost 8 is interested in task 10.\nHost 7 is interested in task 11.\nHost 6 is interested in task 3.\nHost 13 is interested in task 9.\nHost 9 is interested in task 0.\nHost 11 is interested in task 11.\nHost 2 is interested in task 6.\nHost 13 is interested in task 2.\nHost 2 is interested in task 8.\nHost 1 is interested in task 4.\nHost 2 is interested in task 11.\nHost 3 is interested in task 0.\nHost 11 is interested in task 3.\nHost 10 is interested in task 6.\nHost 3 is interested in task 10.\nHost 11 is interested in task 8.\nHost 1 is interested in task 5.\nHost 8 is interested in task 2.\nHost 8 is interested in task 0.\nHost 10 is interested in task 2.\nHost 2 is interested in task 0.\nHost 9 is interested in task 8.\nHost 5 is interested in task 5.\nHost 6 is interested in task 9.\nHost 2 is interested in task 7.\nHost 12 is interested in task 1.\nHost 6 is interested in task 10.\nHost 13 is interested in task 10.\nHost 0 is interested in task 2.\nHost 7 is interested in task 0.\nHost 12 is interested in task 11.\nHost 4 is interested in task 8.\nHost 4 is interested in task 10.\nHost 13 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 13 is interested in task 1.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 0 is interested in task 11.\nHost 12 is interested in task 4.\nHost 13 is interested in task 4.\nHost 2 is interested in task 10.\nHost 9 is interested in task 2.\nHost 11 is interested in task 0.\nHost 11 is interested in task 9.\nHost 4 is interested in task 2.\nHost 7 is interested in task 10.\nHost 10 is interested in task 7.\nHost 4 is interested in task 0.\nHost 3 is interested in task 9.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 12 is interested in task 0.\nHost 9 is interested in task 4.\nHost 11 is interested in task 4.\nHost 5 is interested in task 1.\nHost 9 is interested in task 5.\nHost 12 is interested in task 2.\nHost 10 is interested in task 11.\nHost 12 is interested in task 10.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1089", "image": "data/matching/graph_visual/hard/graph1089.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 9.\nHost 8 is interested in task 3.\nHost 14 is interested in task 3.\nHost 0 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 11.\nHost 3 is interested in task 5.\nHost 5 is interested in task 3.\nHost 10 is interested in task 1.\nHost 10 is interested in task 10.\nHost 6 is interested in task 1.\nHost 5 is interested in task 11.\nHost 7 is interested in task 4.\nHost 5 is interested in task 10.\nHost 1 is interested in task 4.\nHost 8 is interested in task 12.\nHost 9 is interested in task 11.\nHost 6 is interested in task 9.\nHost 8 is interested in task 2.\nHost 1 is interested in task 8.\nHost 13 is interested in task 0.\nHost 9 is interested in task 6.\nHost 0 is interested in task 3.\nHost 8 is interested in task 11.\nHost 1 is interested in task 3.\nHost 13 is interested in task 6.\nHost 9 is interested in task 9.\nHost 5 is interested in task 12.\nHost 8 is interested in task 8.\nHost 4 is interested in task 11.\nHost 7 is interested in task 0.\nHost 13 is interested in task 7.\nHost 2 is interested in task 7.\nHost 7 is interested in task 2.\nHost 11 is interested in task 12.\nHost 4 is interested in task 3.\nHost 9 is interested in task 8.\nHost 9 is interested in task 10.\nHost 4 is interested in task 7.\nHost 7 is interested in task 1.\nHost 13 is interested in task 11.\nHost 6 is interested in task 5.\nHost 0 is interested in task 4.\nHost 2 is interested in task 10.\nHost 7 is interested in task 12.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 9 is interested in task 4.\nHost 1 is interested in task 11.\nHost 0 is interested in task 0.\nHost 9 is interested in task 0.\nHost 6 is interested in task 8.\nHost 2 is interested in task 4.\nHost 8 is interested in task 10.\nHost 4 is interested in task 10.\nHost 10 is interested in task 3.\nHost 7 is interested in task 10.\nHost 5 is interested in task 7.\nHost 3 is interested in task 12.\nHost 0 is interested in task 11.\nHost 0 is interested in task 7.\nHost 6 is interested in task 10.\nHost 3 is interested in task 0.\nHost 0 is interested in task 8.\nHost 0 is interested in task 9.\nHost 13 is interested in task 3.\nHost 0 is interested in task 10.\nHost 8 is interested in task 9.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 6 is interested in task 0.\nHost 10 is interested in task 4.\nHost 10 is interested in task 5.\nHost 13 is interested in task 10.\nHost 6 is interested in task 2.\nHost 10 is interested in task 7.\nHost 11 is interested in task 7.\nHost 12 is interested in task 11.\nHost 0 is interested in task 2.\nHost 2 is interested in task 0.\nHost 13 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph632", "image": "data/matching/graph_visual/hard/graph632.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 11 is interested in task 4.\nHost 11 is interested in task 5.\nHost 10 is interested in task 5.\nHost 10 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 7.\nHost 10 is interested in task 4.\nHost 8 is interested in task 1.\nHost 1 is interested in task 1.\nHost 7 is interested in task 1.\nHost 12 is interested in task 4.\nHost 7 is interested in task 4.\nHost 1 is interested in task 3.\nHost 7 is interested in task 6.\nHost 9 is interested in task 2.\nHost 6 is interested in task 5.\nHost 7 is interested in task 7.\nHost 9 is interested in task 8.\nHost 2 is interested in task 8.\nHost 12 is interested in task 5.\nHost 7 is interested in task 8.\nHost 6 is interested in task 3.\nHost 4 is interested in task 8.\nHost 8 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 4.\nHost 9 is interested in task 5.\nHost 10 is interested in task 2.\nHost 7 is interested in task 2.\nHost 0 is interested in task 4.\nHost 6 is interested in task 7.\nHost 9 is interested in task 4.\nHost 9 is interested in task 6.\nHost 8 is interested in task 0.\nHost 8 is interested in task 5.\nHost 0 is interested in task 9.\nHost 11 is interested in task 6.\nHost 9 is interested in task 0.\nHost 4 is interested in task 1.\nHost 11 is interested in task 0.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1246", "image": "data/matching/graph_visual/hard/graph1246.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 10.\nHost 12 is interested in task 5.\nHost 2 is interested in task 16.\nHost 8 is interested in task 1.\nHost 0 is interested in task 4.\nHost 10 is interested in task 14.\nHost 6 is interested in task 14.\nHost 0 is interested in task 5.\nHost 7 is interested in task 0.\nHost 8 is interested in task 6.\nHost 7 is interested in task 9.\nHost 3 is interested in task 17.\nHost 7 is interested in task 12.\nHost 14 is interested in task 14.\nHost 14 is interested in task 11.\nHost 2 is interested in task 4.\nHost 1 is interested in task 10.\nHost 1 is interested in task 2.\nHost 3 is interested in task 6.\nHost 5 is interested in task 17.\nHost 13 is interested in task 14.\nHost 4 is interested in task 15.\nHost 0 is interested in task 6.\nHost 0 is interested in task 15.\nHost 1 is interested in task 0.\nHost 11 is interested in task 9.\nHost 10 is interested in task 9.\nHost 3 is interested in task 5.\nHost 9 is interested in task 16.\nHost 6 is interested in task 4.\nHost 12 is interested in task 15.\nHost 5 is interested in task 1.\nHost 10 is interested in task 12.\nHost 14 is interested in task 10.\nHost 10 is interested in task 7.\nHost 14 is interested in task 17.\nHost 2 is interested in task 11.\nHost 7 is interested in task 13.\nHost 9 is interested in task 8.\nHost 6 is interested in task 0.\nHost 2 is interested in task 12.\nHost 8 is interested in task 17.\nHost 6 is interested in task 12.\nHost 11 is interested in task 17.\nHost 4 is interested in task 10.\nHost 5 is interested in task 4.\nHost 4 is interested in task 17.\nHost 9 is interested in task 2.\nHost 5 is interested in task 9.\nHost 11 is interested in task 10.\nHost 14 is interested in task 0.\nHost 12 is interested in task 12.\nHost 13 is interested in task 6.\nHost 7 is interested in task 4.\nHost 4 is interested in task 14.\nHost 7 is interested in task 3.\nHost 0 is interested in task 13.\nHost 5 is interested in task 12.\nHost 3 is interested in task 12.\nHost 0 is interested in task 1.\nHost 7 is interested in task 16.\nHost 3 is interested in task 14.\nHost 9 is interested in task 3.\nHost 1 is interested in task 14.\nHost 2 is interested in task 1.\nHost 14 is interested in task 5.\nHost 8 is interested in task 15.\nHost 14 is interested in task 7.\nHost 13 is interested in task 0.\nHost 9 is interested in task 15.\nHost 4 is interested in task 5.\nHost 2 is interested in task 9.\nHost 1 is interested in task 11.\nHost 6 is interested in task 2.\nHost 0 is interested in task 17.\nHost 12 is interested in task 8.\nHost 0 is interested in task 9.\nHost 7 is interested in task 17.\nHost 3 is interested in task 13.\nHost 5 is interested in task 14.\nHost 3 is interested in task 4.\nHost 11 is interested in task 6.\nHost 8 is interested in task 9.\nHost 10 is interested in task 2.\nHost 3 is interested in task 8.\nHost 8 is interested in task 10.\nHost 14 is interested in task 9.\nHost 11 is interested in task 12.\nHost 7 is interested in task 2.\nHost 4 is interested in task 0.\nHost 14 is interested in task 4.\nHost 4 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph669", "image": "data/matching/graph_visual/hard/graph669.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 0.\nHost 2 is interested in task 10.\nHost 5 is interested in task 2.\nHost 6 is interested in task 3.\nHost 5 is interested in task 7.\nHost 7 is interested in task 10.\nHost 7 is interested in task 7.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 11 is interested in task 4.\nHost 3 is interested in task 10.\nHost 5 is interested in task 4.\nHost 7 is interested in task 5.\nHost 2 is interested in task 9.\nHost 0 is interested in task 10.\nHost 4 is interested in task 10.\nHost 11 is interested in task 0.\nHost 11 is interested in task 1.\nHost 9 is interested in task 10.\nHost 7 is interested in task 3.\nHost 0 is interested in task 7.\nHost 0 is interested in task 3.\nHost 9 is interested in task 9.\nHost 9 is interested in task 6.\nHost 4 is interested in task 0.\nHost 6 is interested in task 7.\nHost 1 is interested in task 10.\nHost 8 is interested in task 9.\nHost 12 is interested in task 8.\nHost 3 is interested in task 6.\nHost 7 is interested in task 9.\nHost 5 is interested in task 0.\nHost 6 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 2.\nHost 10 is interested in task 2.\nHost 2 is interested in task 7.\nHost 5 is interested in task 5.\nHost 3 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 10.\nHost 5 is interested in task 10.\nHost 2 is interested in task 1.\nHost 11 is interested in task 5.\nHost 9 is interested in task 4.\nHost 12 is interested in task 5.\nHost 5 is interested in task 9.\nHost 4 is interested in task 2.\nHost 5 is interested in task 1.\nHost 12 is interested in task 6.\nHost 6 is interested in task 5.\nHost 9 is interested in task 2.\nHost 11 is interested in task 3.\nHost 12 is interested in task 9.\nHost 0 is interested in task 5.\nHost 5 is interested in task 8.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph895", "image": "data/matching/graph_visual/hard/graph895.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 8 is interested in task 4.\nHost 3 is interested in task 8.\nHost 1 is interested in task 9.\nHost 4 is interested in task 4.\nHost 8 is interested in task 7.\nHost 3 is interested in task 9.\nHost 11 is interested in task 10.\nHost 12 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 10.\nHost 6 is interested in task 8.\nHost 4 is interested in task 5.\nHost 9 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 1.\nHost 3 is interested in task 7.\nHost 4 is interested in task 0.\nHost 8 is interested in task 5.\nHost 12 is interested in task 9.\nHost 12 is interested in task 10.\nHost 2 is interested in task 11.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 1 is interested in task 11.\nHost 9 is interested in task 5.\nHost 4 is interested in task 1.\nHost 9 is interested in task 4.\nHost 8 is interested in task 6.\nHost 0 is interested in task 4.\nHost 0 is interested in task 9.\nHost 6 is interested in task 11.\nHost 8 is interested in task 9.\nHost 8 is interested in task 10.\nHost 6 is interested in task 5.\nHost 7 is interested in task 11.\nHost 12 is interested in task 2.\nHost 2 is interested in task 3.\nHost 12 is interested in task 6.\nHost 3 is interested in task 11.\nHost 11 is interested in task 9.\nHost 6 is interested in task 10.\nHost 2 is interested in task 4.\nHost 10 is interested in task 1.\nHost 8 is interested in task 8.\nHost 2 is interested in task 0.\nHost 12 is interested in task 4.\nHost 12 is interested in task 11.\nHost 9 is interested in task 9.\nHost 4 is interested in task 11.\nHost 0 is interested in task 2.\nHost 0 is interested in task 8.\nHost 1 is interested in task 10.\nHost 4 is interested in task 2.\nHost 7 is interested in task 9.\nHost 1 is interested in task 4.\nHost 7 is interested in task 5.\nHost 8 is interested in task 3.\nHost 11 is interested in task 5.\nHost 5 is interested in task 7.\nHost 9 is interested in task 7.\nHost 2 is interested in task 5.\nHost 12 is interested in task 7.\nHost 0 is interested in task 0.\nHost 7 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph932", "image": "data/matching/graph_visual/hard/graph932.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 5.\nHost 7 is interested in task 10.\nHost 2 is interested in task 5.\nHost 9 is interested in task 2.\nHost 13 is interested in task 1.\nHost 3 is interested in task 11.\nHost 1 is interested in task 3.\nHost 9 is interested in task 9.\nHost 10 is interested in task 0.\nHost 13 is interested in task 13.\nHost 3 is interested in task 1.\nHost 5 is interested in task 5.\nHost 12 is interested in task 12.\nHost 13 is interested in task 2.\nHost 3 is interested in task 10.\nHost 13 is interested in task 5.\nHost 8 is interested in task 4.\nHost 11 is interested in task 1.\nHost 13 is interested in task 3.\nHost 4 is interested in task 8.\nHost 8 is interested in task 11.\nHost 13 is interested in task 10.\nHost 4 is interested in task 9.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 3 is interested in task 12.\nHost 5 is interested in task 1.\nHost 5 is interested in task 10.\nHost 6 is interested in task 7.\nHost 8 is interested in task 10.\nHost 12 is interested in task 6.\nHost 11 is interested in task 8.\nHost 12 is interested in task 8.\nHost 5 is interested in task 4.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 7 is interested in task 9.\nHost 0 is interested in task 12.\nHost 6 is interested in task 12.\nHost 13 is interested in task 7.\nHost 10 is interested in task 9.\nHost 2 is interested in task 2.\nHost 1 is interested in task 7.\nHost 0 is interested in task 11.\nHost 3 is interested in task 0.\nHost 11 is interested in task 12.\nHost 11 is interested in task 7.\nHost 10 is interested in task 3.\nHost 2 is interested in task 10.\nHost 2 is interested in task 11.\nHost 1 is interested in task 9.\nHost 9 is interested in task 3.\nHost 7 is interested in task 4.\nHost 12 is interested in task 2.\nHost 13 is interested in task 4.\nHost 12 is interested in task 4.\nHost 4 is interested in task 3.\nHost 8 is interested in task 13.\nHost 8 is interested in task 2.\nHost 11 is interested in task 10.\nHost 5 is interested in task 0.\nHost 10 is interested in task 2.\nHost 5 is interested in task 7.\nHost 10 is interested in task 13.\nHost 4 is interested in task 6.\nHost 8 is interested in task 7.\nHost 0 is interested in task 1.\nHost 10 is interested in task 6.\nHost 12 is interested in task 7.\nHost 6 is interested in task 6.\nHost 9 is interested in task 7.\nHost 9 is interested in task 11.\nHost 5 is interested in task 3.\nHost 8 is interested in task 0.\nHost 11 is interested in task 2.\nHost 12 is interested in task 11.\nHost 11 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1111", "image": "data/matching/graph_visual/hard/graph1111.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 5 is interested in task 4.\nHost 14 is interested in task 11.\nHost 5 is interested in task 13.\nHost 1 is interested in task 12.\nHost 3 is interested in task 0.\nHost 7 is interested in task 13.\nHost 10 is interested in task 2.\nHost 3 is interested in task 11.\nHost 7 is interested in task 10.\nHost 9 is interested in task 1.\nHost 11 is interested in task 5.\nHost 9 is interested in task 7.\nHost 14 is interested in task 7.\nHost 3 is interested in task 3.\nHost 14 is interested in task 0.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 0 is interested in task 9.\nHost 6 is interested in task 5.\nHost 12 is interested in task 3.\nHost 3 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 8.\nHost 9 is interested in task 11.\nHost 13 is interested in task 12.\nHost 14 is interested in task 5.\nHost 3 is interested in task 6.\nHost 8 is interested in task 11.\nHost 0 is interested in task 12.\nHost 2 is interested in task 2.\nHost 9 is interested in task 6.\nHost 4 is interested in task 1.\nHost 14 is interested in task 12.\nHost 4 is interested in task 7.\nHost 13 is interested in task 5.\nHost 7 is interested in task 5.\nHost 3 is interested in task 5.\nHost 3 is interested in task 10.\nHost 11 is interested in task 10.\nHost 5 is interested in task 6.\nHost 3 is interested in task 1.\nHost 10 is interested in task 6.\nHost 0 is interested in task 8.\nHost 12 is interested in task 7.\nHost 3 is interested in task 7.\nHost 2 is interested in task 8.\nHost 10 is interested in task 1.\nHost 9 is interested in task 12.\nHost 13 is interested in task 1.\nHost 11 is interested in task 7.\nHost 10 is interested in task 12.\nHost 1 is interested in task 4.\nHost 10 is interested in task 7.\nHost 4 is interested in task 9.\nHost 8 is interested in task 9.\nHost 10 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 10.\nHost 10 is interested in task 13.\nHost 4 is interested in task 2.\nHost 13 is interested in task 0.\nHost 0 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 8.\nHost 6 is interested in task 9.\nHost 6 is interested in task 3.\nHost 12 is interested in task 8.\nHost 0 is interested in task 4.\nHost 12 is interested in task 10.\nHost 9 is interested in task 8.\nHost 11 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 3.\nHost 5 is interested in task 11.\nHost 9 is interested in task 4.\nHost 4 is interested in task 12.\nHost 14 is interested in task 10.\nHost 14 is interested in task 13.\nHost 6 is interested in task 7.\nHost 12 is interested in task 12.\nHost 3 is interested in task 13.\nHost 14 is interested in task 9.\nHost 13 is interested in task 11.\nHost 10 is interested in task 9.\nHost 4 is interested in task 10.\nHost 8 is interested in task 8.\nHost 3 is interested in task 9.\nHost 6 is interested in task 6.\nHost 12 is interested in task 2.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 2 is interested in task 7.\nHost 3 is interested in task 12.\nHost 6 is interested in task 10.\nHost 9 is interested in task 3.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph565", "image": "data/matching/graph_visual/hard/graph565.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 4 is interested in task 6.\nHost 8 is interested in task 2.\nHost 4 is interested in task 5.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 3 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 0.\nHost 2 is interested in task 3.\nHost 6 is interested in task 12.\nHost 6 is interested in task 3.\nHost 3 is interested in task 5.\nHost 1 is interested in task 11.\nHost 7 is interested in task 2.\nHost 7 is interested in task 10.\nHost 5 is interested in task 9.\nHost 9 is interested in task 2.\nHost 11 is interested in task 6.\nHost 4 is interested in task 3.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 4 is interested in task 1.\nHost 11 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 8 is interested in task 7.\nHost 4 is interested in task 4.\nHost 10 is interested in task 10.\nHost 1 is interested in task 10.\nHost 5 is interested in task 1.\nHost 7 is interested in task 12.\nHost 6 is interested in task 0.\nHost 4 is interested in task 12.\nHost 7 is interested in task 4.\nHost 11 is interested in task 2.\nHost 7 is interested in task 9.\nHost 11 is interested in task 3.\nHost 5 is interested in task 6.\nHost 8 is interested in task 0.\nHost 9 is interested in task 7.\nHost 6 is interested in task 9.\nHost 0 is interested in task 6.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 10 is interested in task 5.\nHost 9 is interested in task 0.\nHost 8 is interested in task 8.\nHost 9 is interested in task 9.\nHost 7 is interested in task 5.\nHost 9 is interested in task 10.\nHost 3 is interested in task 6.\nHost 9 is interested in task 1.\nHost 6 is interested in task 5.\nHost 6 is interested in task 6.\nHost 4 is interested in task 2.\nHost 10 is interested in task 7.\nHost 6 is interested in task 4.\nHost 7 is interested in task 8.\nHost 2 is interested in task 12.\nHost 2 is interested in task 2.\nHost 0 is interested in task 12.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph695", "image": "data/matching/graph_visual/hard/graph695.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 10 is interested in task 5.\nHost 7 is interested in task 11.\nHost 8 is interested in task 8.\nHost 3 is interested in task 3.\nHost 4 is interested in task 2.\nHost 6 is interested in task 4.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 5 is interested in task 7.\nHost 12 is interested in task 1.\nHost 8 is interested in task 10.\nHost 2 is interested in task 1.\nHost 12 is interested in task 10.\nHost 11 is interested in task 1.\nHost 11 is interested in task 11.\nHost 2 is interested in task 10.\nHost 2 is interested in task 2.\nHost 6 is interested in task 0.\nHost 10 is interested in task 8.\nHost 11 is interested in task 10.\nHost 1 is interested in task 5.\nHost 9 is interested in task 11.\nHost 9 is interested in task 4.\nHost 7 is interested in task 10.\nHost 3 is interested in task 7.\nHost 9 is interested in task 0.\nHost 5 is interested in task 8.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 9.\nHost 4 is interested in task 3.\nHost 9 is interested in task 8.\nHost 8 is interested in task 7.\nHost 7 is interested in task 5.\nHost 7 is interested in task 0.\nHost 12 is interested in task 7.\nHost 9 is interested in task 2.\nHost 7 is interested in task 8.\nHost 7 is interested in task 4.\nHost 11 is interested in task 4.\nHost 6 is interested in task 2.\nHost 8 is interested in task 1.\nHost 10 is interested in task 2.\nHost 2 is interested in task 8.\nHost 10 is interested in task 0.\nHost 3 is interested in task 11.\nHost 1 is interested in task 10.\nHost 7 is interested in task 1.\nHost 5 is interested in task 10.\nHost 6 is interested in task 6.\nHost 8 is interested in task 9.\nHost 9 is interested in task 10.\nHost 2 is interested in task 7.\nHost 3 is interested in task 6.\nHost 3 is interested in task 10.\nHost 12 is interested in task 11.\nHost 1 is interested in task 9.\nHost 7 is interested in task 2.\nHost 4 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph629", "image": "data/matching/graph_visual/hard/graph629.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 6.\nHost 2 is interested in task 4.\nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 1 is interested in task 11.\nHost 11 is interested in task 8.\nHost 9 is interested in task 5.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9.\nHost 7 is interested in task 12.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 11 is interested in task 0.\nHost 4 is interested in task 13.\nHost 0 is interested in task 4.\nHost 6 is interested in task 8.\nHost 2 is interested in task 7.\nHost 6 is interested in task 9.\nHost 0 is interested in task 14.\nHost 10 is interested in task 12.\nHost 2 is interested in task 12.\nHost 9 is interested in task 0.\nHost 7 is interested in task 9.\nHost 2 is interested in task 1.\nHost 4 is interested in task 12.\nHost 1 is interested in task 1.\nHost 9 is interested in task 10.\nHost 3 is interested in task 12.\nHost 10 is interested in task 3.\nHost 5 is interested in task 2.\nHost 1 is interested in task 9.\nHost 8 is interested in task 8.\nHost 7 is interested in task 3.\nHost 10 is interested in task 8.\nHost 5 is interested in task 7.\nHost 2 is interested in task 6.\nHost 11 is interested in task 1.\nHost 7 is interested in task 14.\nHost 8 is interested in task 11.\nHost 1 is interested in task 3.\nHost 11 is interested in task 14.\nHost 11 is interested in task 6.\nHost 1 is interested in task 2.\nHost 1 is interested in task 12.\nHost 2 is interested in task 3.\nHost 4 is interested in task 9.\nHost 11 is interested in task 3.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 9 is interested in task 13.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 7 is interested in task 2.\nHost 4 is interested in task 1.\nHost 6 is interested in task 12.\nHost 2 is interested in task 8.\nHost 11 is interested in task 2.\nHost 8 is interested in task 12.\nHost 2 is interested in task 2.\nHost 8 is interested in task 2.\nHost 7 is interested in task 6.\nHost 7 is interested in task 8.\nHost 4 is interested in task 7.\nHost 7 is interested in task 7.\nHost 9 is interested in task 6.\nHost 1 is interested in task 8.\nHost 4 is interested in task 0.\nHost 9 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 14.\nHost 4 is interested in task 10.\nHost 3 is interested in task 9.\nHost 5 is interested in task 13.\nHost 2 is interested in task 13.\nHost 2 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1239", "image": "data/matching/graph_visual/hard/graph1239.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 2.\nHost 3 is interested in task 4.\nHost 12 is interested in task 7.\nHost 2 is interested in task 7.\nHost 12 is interested in task 0.\nHost 6 is interested in task 6.\nHost 8 is interested in task 6.\nHost 4 is interested in task 17.\nHost 14 is interested in task 1.\nHost 2 is interested in task 9.\nHost 8 is interested in task 7.\nHost 12 is interested in task 17.\nHost 4 is interested in task 11.\nHost 8 is interested in task 12.\nHost 7 is interested in task 2.\nHost 13 is interested in task 3.\nHost 10 is interested in task 10.\nHost 2 is interested in task 16.\nHost 2 is interested in task 4.\nHost 13 is interested in task 6.\nHost 6 is interested in task 8.\nHost 10 is interested in task 8.\nHost 12 is interested in task 5.\nHost 1 is interested in task 3.\nHost 6 is interested in task 16.\nHost 0 is interested in task 10.\nHost 3 is interested in task 7.\nHost 0 is interested in task 14.\nHost 9 is interested in task 4.\nHost 8 is interested in task 11.\nHost 9 is interested in task 13.\nHost 2 is interested in task 12.\nHost 6 is interested in task 11.\nHost 13 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 11.\nHost 6 is interested in task 1.\nHost 6 is interested in task 9.\nHost 1 is interested in task 8.\nHost 4 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 17.\nHost 3 is interested in task 11.\nHost 12 is interested in task 4.\nHost 2 is interested in task 6.\nHost 11 is interested in task 1.\nHost 3 is interested in task 9.\nHost 0 is interested in task 17.\nHost 7 is interested in task 1.\nHost 1 is interested in task 11.\nHost 14 is interested in task 13.\nHost 9 is interested in task 16.\nHost 12 is interested in task 2.\nHost 3 is interested in task 8.\nHost 11 is interested in task 13.\nHost 2 is interested in task 2.\nHost 8 is interested in task 15.\nHost 10 is interested in task 4.\nHost 1 is interested in task 0.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 6 is interested in task 10.\nHost 11 is interested in task 8.\nHost 13 is interested in task 12.\nHost 1 is interested in task 1.\nHost 7 is interested in task 16.\nHost 5 is interested in task 4.\nHost 11 is interested in task 15.\nHost 3 is interested in task 6.\nHost 2 is interested in task 5.\nHost 14 is interested in task 9.\nHost 11 is interested in task 17.\nHost 0 is interested in task 6.\nHost 12 is interested in task 10.\nHost 11 is interested in task 10.\nHost 12 is interested in task 1.\nHost 10 is interested in task 1.\nHost 7 is interested in task 4.\nHost 11 is interested in task 7.\nHost 14 is interested in task 7.\nHost 14 is interested in task 17.\nHost 14 is interested in task 2.\nHost 2 is interested in task 13.\nHost 6 is interested in task 5.\nHost 0 is interested in task 5.\nHost 0 is interested in task 15.\nHost 8 is interested in task 13.\nHost 7 is interested in task 13.\nHost 7 is interested in task 3.\nHost 12 is interested in task 11.\nHost 0 is interested in task 16.\nHost 7 is interested in task 7.\nHost 13 is interested in task 17.\nHost 5 is interested in task 5.\nHost 3 is interested in task 10.\nHost 7 is interested in task 17.\nHost 2 is interested in task 3.\nHost 9 is interested in task 6.\nHost 12 is interested in task 6.\nHost 3 is interested in task 13.\nHost 3 is interested in task 16.\nHost 6 is interested in task 4.\nHost 9 is interested in task 10.\nHost 12 is interested in task 15.\nHost 14 is interested in task 14.\nHost 2 is interested in task 10.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph36", "image": "data/matching/graph_visual/hard/graph36.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 7.\nHost 5 is interested in task 5.\nHost 2 is interested in task 4.\nHost 9 is interested in task 1.\nHost 7 is interested in task 1.\nHost 9 is interested in task 7.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 3.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 8 is interested in task 6.\nHost 4 is interested in task 1.\nHost 7 is interested in task 3.\nHost 3 is interested in task 3.\nHost 5 is interested in task 2.\nHost 5 is interested in task 7.\nHost 3 is interested in task 6.\nHost 5 is interested in task 3.\nHost 7 is interested in task 7.\nHost 7 is interested in task 2.\nHost 1 is interested in task 6.\nHost 0 is interested in task 7.\nHost 8 is interested in task 7.\nHost 1 is interested in task 4.\nHost 0 is interested in task 1.\nHost 7 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 7.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 6 is interested in task 2.\nHost 4 is interested in task 3.\nHost 9 is interested in task 0.\nHost 2 is interested in task 5.\nHost 2 is interested in task 2.\nHost 8 is interested in task 4.\nHost 0 is interested in task 4.\nHost 9 is interested in task 2.\nHost 5 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 1.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph344", "image": "data/matching/graph_visual/hard/graph344.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 10.\nHost 2 is interested in task 9.\nHost 7 is interested in task 7.\nHost 9 is interested in task 11.\nHost 0 is interested in task 6.\nHost 6 is interested in task 5.\nHost 10 is interested in task 4.\nHost 3 is interested in task 8.\nHost 0 is interested in task 4.\nHost 10 is interested in task 7.\nHost 7 is interested in task 8.\nHost 9 is interested in task 4.\nHost 7 is interested in task 9.\nHost 2 is interested in task 0.\nHost 5 is interested in task 6.\nHost 7 is interested in task 5.\nHost 6 is interested in task 8.\nHost 7 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 8.\nHost 10 is interested in task 8.\nHost 1 is interested in task 3.\nHost 4 is interested in task 8.\nHost 4 is interested in task 6.\nHost 0 is interested in task 10.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 1 is interested in task 6.\nHost 7 is interested in task 6.\nHost 4 is interested in task 1.\nHost 6 is interested in task 10.\nHost 8 is interested in task 4.\nHost 3 is interested in task 6.\nHost 8 is interested in task 9.\nHost 4 is interested in task 10.\nHost 9 is interested in task 0.\nHost 4 is interested in task 0.\nHost 8 is interested in task 7.\nHost 3 is interested in task 7.\nHost 7 is interested in task 11.\nHost 2 is interested in task 5.\nHost 7 is interested in task 2.\nHost 6 is interested in task 4.\nHost 4 is interested in task 11.\nHost 3 is interested in task 2.\nHost 4 is interested in task 9.\nHost 2 is interested in task 10.\nHost 2 is interested in task 6.\nHost 8 is interested in task 2.\nHost 2 is interested in task 4.\nHost 2 is interested in task 3.\nHost 0 is interested in task 11.\nHost 4 is interested in task 4.\nHost 3 is interested in task 4.\nHost 10 is interested in task 1.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph447", "image": "data/matching/graph_visual/hard/graph447.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 6 is interested in task 7.\nHost 2 is interested in task 1.\nHost 0 is interested in task 8.\nHost 7 is interested in task 5.\nHost 4 is interested in task 0.\nHost 1 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 3.\nHost 9 is interested in task 2.\nHost 5 is interested in task 4.\nHost 7 is interested in task 6.\nHost 11 is interested in task 0.\nHost 6 is interested in task 3.\nHost 10 is interested in task 1.\nHost 11 is interested in task 1.\nHost 4 is interested in task 4.\nHost 7 is interested in task 7.\nHost 11 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 8.\nHost 2 is interested in task 2.\nHost 5 is interested in task 0.\nHost 7 is interested in task 3.\nHost 10 is interested in task 8.\nHost 4 is interested in task 1.\nHost 10 is interested in task 4.\nHost 9 is interested in task 0.\nHost 5 is interested in task 5.\nHost 11 is interested in task 8.\nHost 3 is interested in task 1.\nHost 9 is interested in task 7.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 9 is interested in task 3.\nHost 2 is interested in task 4.\nHost 7 is interested in task 0.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 8 is interested in task 3.\nHost 10 is interested in task 0.\nHost 5 is interested in task 2.\nHost 2 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 1.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 3.\nHost 0 is interested in task 2.\nHost 9 is interested in task 5.\nHost 1 is interested in task 4.\nHost 8 is interested in task 7.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 11 is interested in task 4.\nHost 10 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph946", "image": "data/matching/graph_visual/hard/graph946.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 5.\nHost 5 is interested in task 13.\nHost 3 is interested in task 11.\nHost 13 is interested in task 13.\nHost 3 is interested in task 4.\nHost 9 is interested in task 13.\nHost 2 is interested in task 6.\nHost 6 is interested in task 6.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 5 is interested in task 3.\nHost 1 is interested in task 3.\nHost 11 is interested in task 13.\nHost 3 is interested in task 13.\nHost 13 is interested in task 8.\nHost 3 is interested in task 2.\nHost 3 is interested in task 9.\nHost 13 is interested in task 1.\nHost 2 is interested in task 1.\nHost 9 is interested in task 3.\nHost 12 is interested in task 5.\nHost 1 is interested in task 13.\nHost 4 is interested in task 4.\nHost 6 is interested in task 9.\nHost 1 is interested in task 1.\nHost 6 is interested in task 7.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 3.\nHost 11 is interested in task 2.\nHost 7 is interested in task 4.\nHost 9 is interested in task 2.\nHost 3 is interested in task 12.\nHost 2 is interested in task 2.\nHost 4 is interested in task 8.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 10.\nHost 2 is interested in task 3.\nHost 13 is interested in task 9.\nHost 7 is interested in task 7.\nHost 0 is interested in task 13.\nHost 7 is interested in task 6.\nHost 2 is interested in task 7.\nHost 6 is interested in task 12.\nHost 5 is interested in task 12.\nHost 13 is interested in task 12.\nHost 12 is interested in task 1.\nHost 0 is interested in task 9.\nHost 8 is interested in task 5.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 8 is interested in task 10.\nHost 10 is interested in task 2.\nHost 12 is interested in task 6.\nHost 3 is interested in task 3.\nHost 11 is interested in task 10.\nHost 8 is interested in task 3.\nHost 12 is interested in task 4.\nHost 10 is interested in task 8.\nHost 0 is interested in task 6.\nHost 6 is interested in task 11.\nHost 4 is interested in task 9.\nHost 13 is interested in task 2.\nHost 6 is interested in task 10.\nHost 8 is interested in task 7.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph731", "image": "data/matching/graph_visual/hard/graph731.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 11 is interested in task 6.\nHost 5 is interested in task 2.\nHost 11 is interested in task 3.\nHost 7 is interested in task 3.\nHost 11 is interested in task 7.\nHost 8 is interested in task 4.\nHost 11 is interested in task 0.\nHost 10 is interested in task 10.\nHost 5 is interested in task 9.\nHost 8 is interested in task 9.\nHost 3 is interested in task 1.\nHost 9 is interested in task 7.\nHost 9 is interested in task 3.\nHost 12 is interested in task 8.\nHost 12 is interested in task 5.\nHost 4 is interested in task 6.\nHost 12 is interested in task 7.\nHost 9 is interested in task 12.\nHost 2 is interested in task 8.\nHost 0 is interested in task 7.\nHost 3 is interested in task 0.\nHost 2 is interested in task 7.\nHost 8 is interested in task 11.\nHost 7 is interested in task 4.\nHost 1 is interested in task 11.\nHost 4 is interested in task 2.\nHost 10 is interested in task 6.\nHost 7 is interested in task 9.\nHost 11 is interested in task 4.\nHost 9 is interested in task 10.\nHost 0 is interested in task 6.\nHost 12 is interested in task 3.\nHost 3 is interested in task 9.\nHost 7 is interested in task 7.\nHost 8 is interested in task 5.\nHost 12 is interested in task 1.\nHost 0 is interested in task 1.\nHost 8 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 3.\nHost 0 is interested in task 4.\nHost 2 is interested in task 6.\nHost 6 is interested in task 6.\nHost 0 is interested in task 11.\nHost 7 is interested in task 12.\nHost 10 is interested in task 5.\nHost 12 is interested in task 10.\nHost 1 is interested in task 2.\nHost 6 is interested in task 11.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 11 is interested in task 11.\nHost 9 is interested in task 0.\nHost 12 is interested in task 11.\nHost 9 is interested in task 11.\nHost 7 is interested in task 1.\nHost 7 is interested in task 0.\nHost 6 is interested in task 2.\nHost 1 is interested in task 3.\nHost 2 is interested in task 11.\nHost 11 is interested in task 9.\nHost 10 is interested in task 8.\nHost 10 is interested in task 0.\nHost 4 is interested in task 1.\nHost 3 is interested in task 12.\nHost 11 is interested in task 12.\nHost 3 is interested in task 2.\nHost 8 is interested in task 8.\nHost 8 is interested in task 7.\nHost 5 is interested in task 10.\nHost 12 is interested in task 12.\nHost 12 is interested in task 6.\nHost 1 is interested in task 6.\nHost 12 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1151", "image": "data/matching/graph_visual/hard/graph1151.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 9.\nHost 0 is interested in task 8.\nHost 6 is interested in task 7.\nHost 9 is interested in task 5.\nHost 1 is interested in task 12.\nHost 7 is interested in task 7.\nHost 10 is interested in task 10.\nHost 6 is interested in task 5.\nHost 10 is interested in task 1.\nHost 4 is interested in task 2.\nHost 8 is interested in task 9.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 7 is interested in task 9.\nHost 13 is interested in task 2.\nHost 5 is interested in task 11.\nHost 3 is interested in task 5.\nHost 0 is interested in task 7.\nHost 0 is interested in task 4.\nHost 11 is interested in task 10.\nHost 11 is interested in task 12.\nHost 3 is interested in task 9.\nHost 6 is interested in task 14.\nHost 5 is interested in task 10.\nHost 0 is interested in task 13.\nHost 11 is interested in task 11.\nHost 13 is interested in task 14.\nHost 6 is interested in task 6.\nHost 14 is interested in task 14.\nHost 9 is interested in task 9.\nHost 5 is interested in task 12.\nHost 0 is interested in task 9.\nHost 12 is interested in task 7.\nHost 2 is interested in task 0.\nHost 14 is interested in task 10.\nHost 6 is interested in task 0.\nHost 6 is interested in task 1.\nHost 12 is interested in task 4.\nHost 14 is interested in task 7.\nHost 9 is interested in task 0.\nHost 8 is interested in task 4.\nHost 14 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 12 is interested in task 2.\nHost 7 is interested in task 5.\nHost 14 is interested in task 5.\nHost 3 is interested in task 8.\nHost 11 is interested in task 14.\nHost 10 is interested in task 7.\nHost 3 is interested in task 14.\nHost 13 is interested in task 12.\nHost 9 is interested in task 11.\nHost 4 is interested in task 4.\nHost 9 is interested in task 3.\nHost 9 is interested in task 4.\nHost 8 is interested in task 3.\nHost 0 is interested in task 11.\nHost 4 is interested in task 1.\nHost 9 is interested in task 2.\nHost 12 is interested in task 12.\nHost 13 is interested in task 5.\nHost 2 is interested in task 5.\nHost 8 is interested in task 10.\nHost 13 is interested in task 13.\nHost 8 is interested in task 12.\nHost 3 is interested in task 11.\nHost 4 is interested in task 14.\nHost 13 is interested in task 6.\nHost 11 is interested in task 6.\nHost 0 is interested in task 6.\nHost 11 is interested in task 0.\nHost 12 is interested in task 0.\nHost 6 is interested in task 8.\nHost 14 is interested in task 3.\nHost 6 is interested in task 11.\nHost 10 is interested in task 2.\nHost 11 is interested in task 7.\nHost 11 is interested in task 5.\nHost 0 is interested in task 0.\nHost 10 is interested in task 8.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 10 is interested in task 6.\nHost 11 is interested in task 2.\nHost 5 is interested in task 7.\nHost 9 is interested in task 10.\nHost 9 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 11.\nHost 10 is interested in task 5.\nHost 13 is interested in task 7.\nHost 10 is interested in task 12.\nHost 7 is interested in task 6.\nHost 10 is interested in task 11.\nHost 5 is interested in task 2.\nHost 8 is interested in task 7.\nHost 13 is interested in task 3.\nHost 13 is interested in task 8.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph916", "image": "data/matching/graph_visual/hard/graph916.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 9.\nHost 4 is interested in task 0.\nHost 1 is interested in task 5.\nHost 8 is interested in task 8.\nHost 3 is interested in task 5.\nHost 1 is interested in task 11.\nHost 5 is interested in task 1.\nHost 10 is interested in task 10.\nHost 1 is interested in task 6.\nHost 13 is interested in task 2.\nHost 11 is interested in task 4.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 11.\nHost 9 is interested in task 2.\nHost 12 is interested in task 5.\nHost 9 is interested in task 6.\nHost 0 is interested in task 0.\nHost 8 is interested in task 6.\nHost 2 is interested in task 9.\nHost 9 is interested in task 1.\nHost 3 is interested in task 0.\nHost 4 is interested in task 4.\nHost 13 is interested in task 0.\nHost 4 is interested in task 9.\nHost 8 is interested in task 2.\nHost 4 is interested in task 1.\nHost 8 is interested in task 12.\nHost 8 is interested in task 11.\nHost 10 is interested in task 5.\nHost 11 is interested in task 3.\nHost 0 is interested in task 4.\nHost 11 is interested in task 2.\nHost 10 is interested in task 9.\nHost 10 is interested in task 3.\nHost 12 is interested in task 1.\nHost 11 is interested in task 11.\nHost 7 is interested in task 10.\nHost 11 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 3.\nHost 10 is interested in task 4.\nHost 10 is interested in task 7.\nHost 9 is interested in task 4.\nHost 12 is interested in task 9.\nHost 0 is interested in task 5.\nHost 3 is interested in task 4.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 3 is interested in task 2.\nHost 6 is interested in task 6.\nHost 6 is interested in task 1.\nHost 12 is interested in task 11.\nHost 12 is interested in task 4.\nHost 6 is interested in task 5.\nHost 1 is interested in task 9.\nHost 7 is interested in task 0.\nHost 8 is interested in task 9.\nHost 0 is interested in task 9.\nHost 11 is interested in task 7.\nHost 10 is interested in task 1.\nHost 12 is interested in task 12.\nHost 4 is interested in task 2.\nHost 10 is interested in task 2.\nHost 12 is interested in task 6.\nHost 6 is interested in task 12.\nHost 9 is interested in task 10.\nHost 5 is interested in task 9.\nHost 10 is interested in task 0.\nHost 3 is interested in task 1.\nHost 10 is interested in task 6.\nHost 0 is interested in task 12.\nHost 2 is interested in task 7.\nHost 4 is interested in task 8.\nHost 10 is interested in task 8.\nHost 13 is interested in task 9.\nHost 13 is interested in task 6.\nHost 13 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph561", "image": "data/matching/graph_visual/hard/graph561.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 0 is interested in task 10.\nHost 3 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 11.\nHost 3 is interested in task 5.\nHost 5 is interested in task 6.\nHost 8 is interested in task 3.\nHost 5 is interested in task 7.\nHost 11 is interested in task 11.\nHost 1 is interested in task 9.\nHost 4 is interested in task 4.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 6 is interested in task 6.\nHost 10 is interested in task 2.\nHost 2 is interested in task 5.\nHost 6 is interested in task 8.\nHost 2 is interested in task 8.\nHost 2 is interested in task 4.\nHost 8 is interested in task 7.\nHost 11 is interested in task 5.\nHost 2 is interested in task 10.\nHost 6 is interested in task 4.\nHost 0 is interested in task 8.\nHost 0 is interested in task 5.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 5 is interested in task 8.\nHost 2 is interested in task 9.\nHost 11 is interested in task 9.\nHost 6 is interested in task 1.\nHost 3 is interested in task 8.\nHost 10 is interested in task 0.\nHost 9 is interested in task 9.\nHost 5 is interested in task 3.\nHost 4 is interested in task 6.\nHost 2 is interested in task 1.\nHost 6 is interested in task 2.\nHost 5 is interested in task 2.\nHost 6 is interested in task 11.\nHost 8 is interested in task 0.\nHost 11 is interested in task 2.\nHost 4 is interested in task 12.\nHost 1 is interested in task 5.\nHost 7 is interested in task 9.\nHost 0 is interested in task 3.\nHost 9 is interested in task 12.\nHost 0 is interested in task 9.\nHost 9 is interested in task 5.\nHost 0 is interested in task 4.\nHost 11 is interested in task 6.\nHost 10 is interested in task 12.\nHost 3 is interested in task 3.\nHost 3 is interested in task 7.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph883", "image": "data/matching/graph_visual/hard/graph883.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 11.\nHost 7 is interested in task 7.\nHost 3 is interested in task 3.\nHost 8 is interested in task 6.\nHost 4 is interested in task 6.\nHost 7 is interested in task 11.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 3 is interested in task 6.\nHost 2 is interested in task 0.\nHost 5 is interested in task 5.\nHost 10 is interested in task 10.\nHost 12 is interested in task 9.\nHost 10 is interested in task 2.\nHost 3 is interested in task 0.\nHost 12 is interested in task 3.\nHost 2 is interested in task 7.\nHost 9 is interested in task 10.\nHost 13 is interested in task 6.\nHost 4 is interested in task 0.\nHost 13 is interested in task 8.\nHost 0 is interested in task 10.\nHost 13 is interested in task 4.\nHost 7 is interested in task 10.\nHost 0 is interested in task 1.\nHost 1 is interested in task 10.\nHost 9 is interested in task 9.\nHost 3 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 3.\nHost 6 is interested in task 6.\nHost 12 is interested in task 1.\nHost 3 is interested in task 9.\nHost 6 is interested in task 5.\nHost 3 is interested in task 5.\nHost 8 is interested in task 3.\nHost 5 is interested in task 10.\nHost 9 is interested in task 2.\nHost 1 is interested in task 7.\nHost 9 is interested in task 11.\nHost 0 is interested in task 0.\nHost 3 is interested in task 4.\nHost 2 is interested in task 8.\nHost 12 is interested in task 5.\nHost 12 is interested in task 0.\nHost 7 is interested in task 9.\nHost 11 is interested in task 2.\nHost 7 is interested in task 5.\nHost 6 is interested in task 0.\nHost 12 is interested in task 8.\nHost 5 is interested in task 11.\nHost 9 is interested in task 0.\nHost 11 is interested in task 6.\nHost 9 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 8.\nHost 0 is interested in task 11.\nHost 11 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 0.\nHost 3 is interested in task 10.\nHost 4 is interested in task 9.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph58", "image": "data/matching/graph_visual/hard/graph58.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 5.\nHost 6 is interested in task 4.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 8 is interested in task 5.\nHost 8 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 5.\nHost 4 is interested in task 2.\nHost 8 is interested in task 4.\nHost 8 is interested in task 0.\nHost 4 is interested in task 0.\nHost 6 is interested in task 0.\nHost 1 is interested in task 7.\nHost 8 is interested in task 3.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 7 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 7.\nHost 6 is interested in task 6.\nHost 7 is interested in task 3.\nHost 9 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 4.\nHost 9 is interested in task 7.\nHost 9 is interested in task 6.\nHost 7 is interested in task 0.\nHost 6 is interested in task 7.\nHost 7 is interested in task 5.\nHost 9 is interested in task 0.\nHost 1 is interested in task 0.\nHost 5 is interested in task 2.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 8 is interested in task 1.\nHost 1 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph673", "image": "data/matching/graph_visual/hard/graph673.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 12 is interested in task 3.\nHost 2 is interested in task 5.\nHost 6 is interested in task 10.\nHost 5 is interested in task 4.\nHost 9 is interested in task 6.\nHost 4 is interested in task 10.\nHost 1 is interested in task 2.\nHost 8 is interested in task 8.\nHost 12 is interested in task 4.\nHost 2 is interested in task 9.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 11 is interested in task 5.\nHost 1 is interested in task 10.\nHost 1 is interested in task 9.\nHost 3 is interested in task 8.\nHost 0 is interested in task 10.\nHost 4 is interested in task 1.\nHost 9 is interested in task 9.\nHost 2 is interested in task 10.\nHost 5 is interested in task 9.\nHost 6 is interested in task 6.\nHost 12 is interested in task 6.\nHost 5 is interested in task 8.\nHost 12 is interested in task 1.\nHost 2 is interested in task 6.\nHost 10 is interested in task 5.\nHost 11 is interested in task 0.\nHost 8 is interested in task 9.\nHost 5 is interested in task 10.\nHost 11 is interested in task 6.\nHost 9 is interested in task 7.\nHost 3 is interested in task 7.\nHost 11 is interested in task 1.\nHost 2 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 1.\nHost 12 is interested in task 0.\nHost 0 is interested in task 1.\nHost 8 is interested in task 0.\nHost 9 is interested in task 10.\nHost 8 is interested in task 10.\nHost 7 is interested in task 6.\nHost 1 is interested in task 8.\nHost 1 is interested in task 5.\nHost 1 is interested in task 3.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 8.\nHost 6 is interested in task 7.\nHost 12 is interested in task 5.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph10", "image": "data/matching/graph_visual/hard/graph10.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 9 is interested in task 3.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 0 is interested in task 5.\nHost 9 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 5.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 4.\nHost 7 is interested in task 2.\nHost 7 is interested in task 5.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 5 is interested in task 6.\nHost 1 is interested in task 4.\nHost 5 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 5.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 7 is interested in task 6.\nHost 6 is interested in task 4.\nHost 3 is interested in task 4.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph86", "image": "data/matching/graph_visual/hard/graph86.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 3 is interested in task 2.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 1.\nHost 9 is interested in task 4.\nHost 7 is interested in task 8.\nHost 9 is interested in task 8.\nHost 8 is interested in task 4.\nHost 1 is interested in task 6.\nHost 1 is interested in task 0.\nHost 7 is interested in task 4.\nHost 9 is interested in task 7.\nHost 9 is interested in task 2.\nHost 8 is interested in task 7.\nHost 4 is interested in task 8.\nHost 6 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 4 is interested in task 3.\nHost 7 is interested in task 7.\nHost 0 is interested in task 6.\nHost 5 is interested in task 4.\nHost 3 is interested in task 1.\nHost 2 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 5 is interested in task 7.\nHost 0 is interested in task 3.\nHost 8 is interested in task 0.\nHost 9 is interested in task 0.\nHost 3 is interested in task 7.\nHost 8 is interested in task 8.\nHost 9 is interested in task 1.\nHost 2 is interested in task 2.\nHost 5 is interested in task 6.\nHost 7 is interested in task 0.\nHost 7 is interested in task 3.\nHost 9 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 7.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 3 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph173", "image": "data/matching/graph_visual/hard/graph173.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 5 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 11.\nHost 7 is interested in task 0.\nHost 1 is interested in task 5.\nHost 5 is interested in task 7.\nHost 5 is interested in task 6.\nHost 7 is interested in task 10.\nHost 4 is interested in task 0.\nHost 9 is interested in task 10.\nHost 0 is interested in task 6.\nHost 9 is interested in task 1.\nHost 5 is interested in task 8.\nHost 7 is interested in task 5.\nHost 2 is interested in task 10.\nHost 1 is interested in task 6.\nHost 1 is interested in task 7.\nHost 9 is interested in task 8.\nHost 9 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 10.\nHost 4 is interested in task 9.\nHost 3 is interested in task 2.\nHost 9 is interested in task 3.\nHost 3 is interested in task 4.\nHost 8 is interested in task 9.\nHost 4 is interested in task 8.\nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 6 is interested in task 10.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 9 is interested in task 7.\nHost 9 is interested in task 9.\nHost 0 is interested in task 4.\nHost 6 is interested in task 9.\nHost 9 is interested in task 0.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 4 is interested in task 3.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph257", "image": "data/matching/graph_visual/hard/graph257.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 7 is interested in task 8.\nHost 7 is interested in task 3.\nHost 10 is interested in task 2.\nHost 10 is interested in task 1.\nHost 2 is interested in task 8.\nHost 9 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 0.\nHost 9 is interested in task 3.\nHost 4 is interested in task 7.\nHost 7 is interested in task 0.\nHost 1 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 4.\nHost 10 is interested in task 4.\nHost 0 is interested in task 0.\nHost 10 is interested in task 3.\nHost 8 is interested in task 6.\nHost 2 is interested in task 7.\nHost 3 is interested in task 6.\nHost 6 is interested in task 8.\nHost 8 is interested in task 7.\nHost 0 is interested in task 5.\nHost 7 is interested in task 5.\nHost 10 is interested in task 6.\nHost 0 is interested in task 6.\nHost 1 is interested in task 5.\nHost 5 is interested in task 0.\nHost 10 is interested in task 8.\nHost 10 is interested in task 5.\nHost 3 is interested in task 5.\nHost 3 is interested in task 2.\nHost 10 is interested in task 0.\nHost 3 is interested in task 0.\nHost 5 is interested in task 5.\nHost 6 is interested in task 7.\nHost 8 is interested in task 2.\nHost 9 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 8.\nHost 7 is interested in task 2.\nHost 5 is interested in task 4.\nHost 9 is interested in task 7.\nHost 10 is interested in task 7.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph899", "image": "data/matching/graph_visual/hard/graph899.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 0 is interested in task 2.\nHost 10 is interested in task 10.\nHost 5 is interested in task 9.\nHost 11 is interested in task 10.\nHost 6 is interested in task 8.\nHost 10 is interested in task 2.\nHost 11 is interested in task 5.\nHost 1 is interested in task 10.\nHost 9 is interested in task 11.\nHost 4 is interested in task 10.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 9 is interested in task 4.\nHost 13 is interested in task 1.\nHost 11 is interested in task 7.\nHost 13 is interested in task 11.\nHost 13 is interested in task 0.\nHost 6 is interested in task 3.\nHost 1 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 10 is interested in task 6.\nHost 1 is interested in task 4.\nHost 2 is interested in task 11.\nHost 2 is interested in task 9.\nHost 12 is interested in task 11.\nHost 6 is interested in task 10.\nHost 10 is interested in task 11.\nHost 3 is interested in task 9.\nHost 1 is interested in task 8.\nHost 1 is interested in task 0.\nHost 3 is interested in task 6.\nHost 10 is interested in task 1.\nHost 13 is interested in task 3.\nHost 10 is interested in task 7.\nHost 0 is interested in task 11.\nHost 4 is interested in task 9.\nHost 5 is interested in task 1.\nHost 12 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 4 is interested in task 11.\nHost 9 is interested in task 9.\nHost 8 is interested in task 0.\nHost 13 is interested in task 6.\nHost 9 is interested in task 5.\nHost 12 is interested in task 4.\nHost 4 is interested in task 2.\nHost 13 is interested in task 9.\nHost 5 is interested in task 7.\nHost 9 is interested in task 8.\nHost 4 is interested in task 1.\nHost 6 is interested in task 6.\nHost 5 is interested in task 10.\nHost 11 is interested in task 0.\nHost 12 is interested in task 10.\nHost 13 is interested in task 10.\nHost 4 is interested in task 0.\nHost 5 is interested in task 3.\nHost 4 is interested in task 3.\nHost 12 is interested in task 3.\nHost 9 is interested in task 10.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph352", "image": "data/matching/graph_visual/hard/graph352.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 8.\nHost 8 is interested in task 9.\nHost 9 is interested in task 10.\nHost 1 is interested in task 10.\nHost 8 is interested in task 2.\nHost 1 is interested in task 2.\nHost 9 is interested in task 9.\nHost 8 is interested in task 4.\nHost 1 is interested in task 5.\nHost 8 is interested in task 1.\nHost 8 is interested in task 10.\nHost 5 is interested in task 3.\nHost 9 is interested in task 8.\nHost 7 is interested in task 5.\nHost 4 is interested in task 2.\nHost 1 is interested in task 9.\nHost 0 is interested in task 7.\nHost 9 is interested in task 6.\nHost 10 is interested in task 4.\nHost 1 is interested in task 1.\nHost 10 is interested in task 11.\nHost 4 is interested in task 9.\nHost 10 is interested in task 5.\nHost 6 is interested in task 7.\nHost 8 is interested in task 11.\nHost 9 is interested in task 0.\nHost 9 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 8.\nHost 2 is interested in task 5.\nHost 4 is interested in task 11.\nHost 10 is interested in task 10.\nHost 0 is interested in task 0.\nHost 7 is interested in task 3.\nHost 8 is interested in task 7.\nHost 0 is interested in task 9.\nHost 5 is interested in task 5.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 5 is interested in task 4.\nHost 8 is interested in task 5.\nHost 9 is interested in task 11.\nHost 10 is interested in task 9.\nHost 8 is interested in task 0.\nHost 0 is interested in task 10.\nHost 10 is interested in task 2.\nHost 1 is interested in task 4.\nHost 9 is interested in task 2.\nHost 0 is interested in task 11.\nHost 6 is interested in task 11.\nHost 1 is interested in task 3.\nHost 3 is interested in task 7.\nHost 10 is interested in task 6.\nHost 10 is interested in task 8.\nHost 8 is interested in task 8.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph882", "image": "data/matching/graph_visual/hard/graph882.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 0.\nHost 1 is interested in task 2.\nHost 4 is interested in task 9.\nHost 11 is interested in task 3.\nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 1.\nHost 10 is interested in task 11.\nHost 6 is interested in task 8.\nHost 10 is interested in task 3.\nHost 12 is interested in task 2.\nHost 0 is interested in task 10.\nHost 1 is interested in task 6.\nHost 10 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 7.\nHost 6 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 9.\nHost 5 is interested in task 8.\nHost 7 is interested in task 7.\nHost 12 is interested in task 7.\nHost 2 is interested in task 3.\nHost 11 is interested in task 0.\nHost 13 is interested in task 10.\nHost 12 is interested in task 8.\nHost 12 is interested in task 11.\nHost 11 is interested in task 6.\nHost 9 is interested in task 10.\nHost 2 is interested in task 5.\nHost 12 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 3.\nHost 8 is interested in task 2.\nHost 10 is interested in task 4.\nHost 2 is interested in task 7.\nHost 11 is interested in task 10.\nHost 6 is interested in task 3.\nHost 1 is interested in task 4.\nHost 13 is interested in task 4.\nHost 6 is interested in task 5.\nHost 3 is interested in task 8.\nHost 13 is interested in task 3.\nHost 8 is interested in task 3.\nHost 8 is interested in task 0.\nHost 3 is interested in task 2.\nHost 9 is interested in task 8.\nHost 11 is interested in task 9.\nHost 13 is interested in task 9.\nHost 13 is interested in task 1.\nHost 1 is interested in task 11.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 4.\nHost 6 is interested in task 11.\nHost 4 is interested in task 10.\nHost 3 is interested in task 6.\nHost 8 is interested in task 4.\nHost 1 is interested in task 8.\nHost 9 is interested in task 11.\nHost 12 is interested in task 10.\nHost 9 is interested in task 4.\nHost 2 is interested in task 8.\nHost 4 is interested in task 11.\nHost 0 is interested in task 8.\nHost 4 is interested in task 8.\nHost 5 is interested in task 1.\nHost 0 is interested in task 6.\nHost 5 is interested in task 0.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph204", "image": "data/matching/graph_visual/hard/graph204.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 6.\nHost 5 is interested in task 12.\nHost 1 is interested in task 12.\nHost 9 is interested in task 8.\nHost 4 is interested in task 5.\nHost 8 is interested in task 9.\nHost 4 is interested in task 3.\nHost 7 is interested in task 4.\nHost 1 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 7 is interested in task 10.\nHost 4 is interested in task 0.\nHost 6 is interested in task 9.\nHost 4 is interested in task 7.\nHost 9 is interested in task 11.\nHost 0 is interested in task 9.\nHost 0 is interested in task 5.\nHost 1 is interested in task 8.\nHost 6 is interested in task 2.\nHost 6 is interested in task 10.\nHost 0 is interested in task 10.\nHost 1 is interested in task 9.\nHost 7 is interested in task 11.\nHost 3 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 4.\nHost 4 is interested in task 12.\nHost 5 is interested in task 11.\nHost 5 is interested in task 9.\nHost 8 is interested in task 10.\nHost 1 is interested in task 4.\nHost 0 is interested in task 11.\nHost 9 is interested in task 2.\nHost 6 is interested in task 3.\nHost 4 is interested in task 8.\nHost 9 is interested in task 10.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 8 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 2.\nHost 2 is interested in task 4.\nHost 9 is interested in task 6.\nHost 8 is interested in task 11.\nHost 4 is interested in task 11.\nHost 2 is interested in task 11.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1119", "image": "data/matching/graph_visual/hard/graph1119.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 4.\nHost 6 is interested in task 12.\nHost 9 is interested in task 2.\nHost 9 is interested in task 12.\nHost 0 is interested in task 10.\nHost 13 is interested in task 9.\nHost 10 is interested in task 8.\nHost 14 is interested in task 0.\nHost 14 is interested in task 7.\nHost 4 is interested in task 9.\nHost 6 is interested in task 3.\nHost 12 is interested in task 10.\nHost 4 is interested in task 10.\nHost 7 is interested in task 3.\nHost 10 is interested in task 9.\nHost 9 is interested in task 1.\nHost 11 is interested in task 11.\nHost 4 is interested in task 7.\nHost 0 is interested in task 12.\nHost 1 is interested in task 9.\nHost 0 is interested in task 5.\nHost 11 is interested in task 12.\nHost 12 is interested in task 4.\nHost 0 is interested in task 3.\nHost 6 is interested in task 13.\nHost 8 is interested in task 0.\nHost 12 is interested in task 11.\nHost 8 is interested in task 10.\nHost 4 is interested in task 11.\nHost 4 is interested in task 13.\nHost 3 is interested in task 12.\nHost 10 is interested in task 5.\nHost 12 is interested in task 3.\nHost 11 is interested in task 8.\nHost 8 is interested in task 9.\nHost 2 is interested in task 6.\nHost 11 is interested in task 13.\nHost 9 is interested in task 5.\nHost 0 is interested in task 2.\nHost 12 is interested in task 9.\nHost 14 is interested in task 1.\nHost 11 is interested in task 10.\nHost 13 is interested in task 3.\nHost 3 is interested in task 13.\nHost 3 is interested in task 6.\nHost 13 is interested in task 8.\nHost 0 is interested in task 9.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 14 is interested in task 9.\nHost 0 is interested in task 1.\nHost 12 is interested in task 5.\nHost 8 is interested in task 2.\nHost 8 is interested in task 12.\nHost 11 is interested in task 3.\nHost 5 is interested in task 3.\nHost 3 is interested in task 3.\nHost 13 is interested in task 10.\nHost 9 is interested in task 11.\nHost 7 is interested in task 5.\nHost 11 is interested in task 5.\nHost 10 is interested in task 12.\nHost 0 is interested in task 11.\nHost 9 is interested in task 7.\nHost 10 is interested in task 6.\nHost 11 is interested in task 9.\nHost 12 is interested in task 2.\nHost 1 is interested in task 0.\nHost 7 is interested in task 11.\nHost 9 is interested in task 6.\nHost 5 is interested in task 9.\nHost 12 is interested in task 1.\nHost 7 is interested in task 1.\nHost 0 is interested in task 0.\nHost 7 is interested in task 10.\nHost 4 is interested in task 3.\nHost 8 is interested in task 3.\nHost 12 is interested in task 7.\nHost 9 is interested in task 4.\nHost 2 is interested in task 9.\nHost 4 is interested in task 4.\nHost 14 is interested in task 2.\nHost 5 is interested in task 10.\nHost 2 is interested in task 3.\nHost 12 is interested in task 12.\nHost 9 is interested in task 8.\nHost 2 is interested in task 5.\nHost 10 is interested in task 2.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph396", "image": "data/matching/graph_visual/hard/graph396.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 12.\nHost 5 is interested in task 0.\nHost 6 is interested in task 13.\nHost 9 is interested in task 12.\nHost 1 is interested in task 10.\nHost 2 is interested in task 1.\nHost 9 is interested in task 6.\nHost 9 is interested in task 4.\nHost 6 is interested in task 7.\nHost 0 is interested in task 13.\nHost 9 is interested in task 9.\nHost 5 is interested in task 10.\nHost 6 is interested in task 12.\nHost 6 is interested in task 6.\nHost 3 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 1.\nHost 6 is interested in task 4.\nHost 6 is interested in task 2.\nHost 5 is interested in task 12.\nHost 1 is interested in task 1.\nHost 2 is interested in task 13.\nHost 6 is interested in task 0.\nHost 6 is interested in task 10.\nHost 1 is interested in task 13.\nHost 7 is interested in task 11.\nHost 10 is interested in task 9.\nHost 1 is interested in task 3.\nHost 5 is interested in task 9.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 8.\nHost 10 is interested in task 13.\nHost 1 is interested in task 11.\nHost 1 is interested in task 2.\nHost 2 is interested in task 12.\nHost 4 is interested in task 5.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph270", "image": "data/matching/graph_visual/hard/graph270.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 2 is interested in task 8.\nHost 9 is interested in task 4.\nHost 1 is interested in task 6.\nHost 2 is interested in task 5.\nHost 2 is interested in task 7.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 10 is interested in task 6.\nHost 5 is interested in task 3.\nHost 0 is interested in task 6.\nHost 8 is interested in task 3.\nHost 3 is interested in task 3.\nHost 5 is interested in task 8.\nHost 0 is interested in task 4.\nHost 2 is interested in task 1.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 10 is interested in task 3.\nHost 0 is interested in task 9.\nHost 8 is interested in task 2.\nHost 3 is interested in task 7.\nHost 10 is interested in task 4.\nHost 3 is interested in task 9.\nHost 6 is interested in task 3.\nHost 3 is interested in task 1.\nHost 0 is interested in task 0.\nHost 7 is interested in task 8.\nHost 8 is interested in task 1.\nHost 5 is interested in task 5.\nHost 0 is interested in task 7.\nHost 0 is interested in task 2.\nHost 8 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 3.\nHost 7 is interested in task 2.\nHost 2 is interested in task 9.\nHost 0 is interested in task 8.\nHost 1 is interested in task 9.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 3 is interested in task 0.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1026", "image": "data/matching/graph_visual/hard/graph1026.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 14.\nHost 8 is interested in task 5.\nHost 2 is interested in task 10.\nHost 3 is interested in task 6.\nHost 0 is interested in task 2.\nHost 5 is interested in task 0.\nHost 9 is interested in task 4.\nHost 11 is interested in task 11.\nHost 5 is interested in task 8.\nHost 7 is interested in task 4.\nHost 13 is interested in task 6.\nHost 10 is interested in task 11.\nHost 1 is interested in task 8.\nHost 6 is interested in task 12.\nHost 5 is interested in task 3.\nHost 12 is interested in task 12.\nHost 8 is interested in task 11.\nHost 13 is interested in task 15.\nHost 3 is interested in task 14.\nHost 10 is interested in task 7.\nHost 11 is interested in task 5.\nHost 8 is interested in task 0.\nHost 8 is interested in task 15.\nHost 0 is interested in task 0.\nHost 6 is interested in task 6.\nHost 11 is interested in task 0.\nHost 5 is interested in task 4.\nHost 4 is interested in task 11.\nHost 11 is interested in task 8.\nHost 11 is interested in task 6.\nHost 0 is interested in task 9.\nHost 8 is interested in task 12.\nHost 2 is interested in task 0.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 11 is interested in task 12.\nHost 3 is interested in task 13.\nHost 9 is interested in task 3.\nHost 9 is interested in task 8.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 10.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 0 is interested in task 5.\nHost 13 is interested in task 14.\nHost 5 is interested in task 5.\nHost 11 is interested in task 10.\nHost 0 is interested in task 4.\nHost 4 is interested in task 5.\nHost 0 is interested in task 6.\nHost 13 is interested in task 7.\nHost 2 is interested in task 3.\nHost 13 is interested in task 4.\nHost 11 is interested in task 3.\nHost 10 is interested in task 6.\nHost 6 is interested in task 7.\nHost 7 is interested in task 10.\nHost 13 is interested in task 12.\nHost 11 is interested in task 4.\nHost 0 is interested in task 12.\nHost 4 is interested in task 12.\nHost 0 is interested in task 14.\nHost 0 is interested in task 13.\nHost 13 is interested in task 5.\nHost 13 is interested in task 11.\nHost 2 is interested in task 8.\nHost 7 is interested in task 11.\nHost 13 is interested in task 0.\nHost 10 is interested in task 8.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 10 is interested in task 16.\nHost 10 is interested in task 12.\nHost 5 is interested in task 1.\nHost 4 is interested in task 0.\nHost 6 is interested in task 5.\nHost 13 is interested in task 16.\nHost 3 is interested in task 4.\nHost 6 is interested in task 13.\nHost 4 is interested in task 16.\nHost 12 is interested in task 15.\nHost 5 is interested in task 11.\nHost 7 is interested in task 12.\nHost 13 is interested in task 10.\nHost 12 is interested in task 7.\nHost 13 is interested in task 8.\nHost 13 is interested in task 9.\nHost 6 is interested in task 9.\nHost 3 is interested in task 0.\nHost 13 is interested in task 1.\nHost 12 is interested in task 10.\nHost 9 is interested in task 9.\nHost 5 is interested in task 15.\nHost 2 is interested in task 16.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph256", "image": "data/matching/graph_visual/hard/graph256.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 1.\nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 8.\nHost 2 is interested in task 8.\nHost 6 is interested in task 1.\nHost 9 is interested in task 0.\nHost 3 is interested in task 3.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 9 is interested in task 5.\nHost 1 is interested in task 6.\nHost 10 is interested in task 3.\nHost 10 is interested in task 8.\nHost 7 is interested in task 4.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 8 is interested in task 8.\nHost 9 is interested in task 6.\nHost 7 is interested in task 5.\nHost 0 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 4 is interested in task 7.\nHost 10 is interested in task 7.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 5 is interested in task 3.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 1 is interested in task 8.\nHost 3 is interested in task 5.\nHost 4 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 5.\nHost 6 is interested in task 4.\nHost 10 is interested in task 4.\nHost 8 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 0.\nHost 0 is interested in task 0.\nHost 4 is interested in task 5.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph809", "image": "data/matching/graph_visual/hard/graph809.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 6.\nHost 3 is interested in task 12.\nHost 1 is interested in task 9.\nHost 9 is interested in task 14.\nHost 8 is interested in task 10.\nHost 4 is interested in task 3.\nHost 4 is interested in task 4.\nHost 3 is interested in task 11.\nHost 11 is interested in task 3.\nHost 8 is interested in task 8.\nHost 4 is interested in task 12.\nHost 9 is interested in task 3.\nHost 0 is interested in task 14.\nHost 3 is interested in task 0.\nHost 11 is interested in task 11.\nHost 10 is interested in task 8.\nHost 11 is interested in task 12.\nHost 9 is interested in task 13.\nHost 11 is interested in task 2.\nHost 2 is interested in task 11.\nHost 11 is interested in task 0.\nHost 6 is interested in task 8.\nHost 3 is interested in task 5.\nHost 6 is interested in task 1.\nHost 6 is interested in task 14.\nHost 9 is interested in task 12.\nHost 0 is interested in task 1.\nHost 1 is interested in task 13.\nHost 10 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 13.\nHost 3 is interested in task 6.\nHost 8 is interested in task 4.\nHost 11 is interested in task 10.\nHost 4 is interested in task 13.\nHost 9 is interested in task 10.\nHost 9 is interested in task 5.\nHost 12 is interested in task 12.\nHost 10 is interested in task 7.\nHost 8 is interested in task 6.\nHost 3 is interested in task 3.\nHost 6 is interested in task 11.\nHost 7 is interested in task 9.\nHost 11 is interested in task 4.\nHost 5 is interested in task 10.\nHost 4 is interested in task 10.\nHost 11 is interested in task 13.\nHost 4 is interested in task 0.\nHost 11 is interested in task 9.\nHost 11 is interested in task 5.\nHost 5 is interested in task 13.\nHost 11 is interested in task 7.\nHost 12 is interested in task 5.\nHost 9 is interested in task 0.\nHost 5 is interested in task 0.\nHost 7 is interested in task 8.\nHost 9 is interested in task 8.\nHost 9 is interested in task 11.\nHost 12 is interested in task 9.\nHost 3 is interested in task 2.\nHost 0 is interested in task 6.\nHost 10 is interested in task 5.\nHost 8 is interested in task 0.\nHost 3 is interested in task 10.\nHost 10 is interested in task 9.\nHost 3 is interested in task 7.\nHost 4 is interested in task 6.\nHost 8 is interested in task 3.\nHost 5 is interested in task 2.\nHost 10 is interested in task 1.\nHost 3 is interested in task 13.\nHost 1 is interested in task 11.\nHost 4 is interested in task 5.\nHost 5 is interested in task 14.\nHost 10 is interested in task 10.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph13", "image": "data/matching/graph_visual/hard/graph13.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 9 is interested in task 0.\nHost 2 is interested in task 5.\nHost 7 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 9 is interested in task 6.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3.\nHost 1 is interested in task 0.\nHost 7 is interested in task 2.\nHost 5 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 8 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 1.\nHost 2 is interested in task 6.\nHost 1 is interested in task 3.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 9 is interested in task 5.\nHost 6 is interested in task 4.\nHost 7 is interested in task 6.\nHost 5 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph690", "image": "data/matching/graph_visual/hard/graph690.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 3.\nHost 0 is interested in task 4.\nHost 1 is interested in task 11.\nHost 4 is interested in task 8.\nHost 8 is interested in task 2.\nHost 5 is interested in task 7.\nHost 3 is interested in task 7.\nHost 6 is interested in task 10.\nHost 6 is interested in task 6.\nHost 10 is interested in task 2.\nHost 10 is interested in task 3.\nHost 5 is interested in task 8.\nHost 2 is interested in task 9.\nHost 8 is interested in task 11.\nHost 12 is interested in task 2.\nHost 10 is interested in task 4.\nHost 3 is interested in task 6.\nHost 12 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 8.\nHost 6 is interested in task 4.\nHost 11 is interested in task 9.\nHost 7 is interested in task 4.\nHost 3 is interested in task 3.\nHost 0 is interested in task 1.\nHost 2 is interested in task 6.\nHost 0 is interested in task 10.\nHost 0 is interested in task 7.\nHost 9 is interested in task 4.\nHost 11 is interested in task 11.\nHost 3 is interested in task 11.\nHost 9 is interested in task 11.\nHost 12 is interested in task 7.\nHost 9 is interested in task 8.\nHost 4 is interested in task 11.\nHost 4 is interested in task 5.\nHost 9 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 3.\nHost 10 is interested in task 10.\nHost 5 is interested in task 5.\nHost 5 is interested in task 6.\nHost 9 is interested in task 10.\nHost 8 is interested in task 9.\nHost 4 is interested in task 3.\nHost 9 is interested in task 3.\nHost 10 is interested in task 7.\nHost 9 is interested in task 2.\nHost 1 is interested in task 8.\nHost 1 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 9.\nHost 2 is interested in task 0.\nHost 10 is interested in task 6.\nHost 11 is interested in task 6.\nHost 9 is interested in task 0.\nHost 11 is interested in task 8.\nHost 3 is interested in task 10.\nHost 2 is interested in task 1.\nHost 10 is interested in task 5.\nHost 4 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph80", "image": "data/matching/graph_visual/hard/graph80.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 9 is interested in task 5.\nHost 3 is interested in task 7.\nHost 4 is interested in task 4.\nHost 6 is interested in task 8.\nHost 9 is interested in task 4.\nHost 0 is interested in task 6.\nHost 5 is interested in task 3.\nHost 0 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 0 is interested in task 3.\nHost 8 is interested in task 4.\nHost 9 is interested in task 7.\nHost 0 is interested in task 8.\nHost 0 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 5.\nHost 6 is interested in task 5.\nHost 4 is interested in task 0.\nHost 3 is interested in task 8.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 6 is interested in task 7.\nHost 8 is interested in task 3.\nHost 6 is interested in task 4.\nHost 2 is interested in task 3.\nHost 5 is interested in task 5.\nHost 7 is interested in task 6.\nHost 7 is interested in task 5.\nHost 8 is interested in task 0.\nHost 8 is interested in task 1.\nHost 8 is interested in task 7.\nHost 0 is interested in task 7.\nHost 7 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 3.\nHost 9 is interested in task 3.\nHost 3 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 0.\nHost 2 is interested in task 6.\nHost 9 is interested in task 0.\nHost 9 is interested in task 2.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph462", "image": "data/matching/graph_visual/hard/graph462.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 0 is interested in task 2.\nHost 3 is interested in task 9.\nHost 10 is interested in task 6.\nHost 0 is interested in task 0.\nHost 5 is interested in task 4.\nHost 6 is interested in task 7.\nHost 6 is interested in task 9.\nHost 3 is interested in task 2.\nHost 0 is interested in task 7.\nHost 5 is interested in task 7.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 9 is interested in task 8.\nHost 10 is interested in task 1.\nHost 2 is interested in task 9.\nHost 2 is interested in task 5.\nHost 1 is interested in task 9.\nHost 11 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 2 is interested in task 0.\nHost 0 is interested in task 9.\nHost 5 is interested in task 0.\nHost 9 is interested in task 6.\nHost 9 is interested in task 9.\nHost 3 is interested in task 6.\nHost 0 is interested in task 3.\nHost 8 is interested in task 1.\nHost 0 is interested in task 8.\nHost 10 is interested in task 2.\nHost 2 is interested in task 1.\nHost 9 is interested in task 2.\nHost 4 is interested in task 2.\nHost 4 is interested in task 6.\nHost 9 is interested in task 5.\nHost 10 is interested in task 4.\nHost 10 is interested in task 7.\nHost 7 is interested in task 8.\nHost 9 is interested in task 0.\nHost 7 is interested in task 0.\nHost 4 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1127", "image": "data/matching/graph_visual/hard/graph1127.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 1 is interested in task 9.\nHost 12 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 7.\nHost 4 is interested in task 12.\nHost 4 is interested in task 4.\nHost 6 is interested in task 9.\nHost 14 is interested in task 0.\nHost 12 is interested in task 2.\nHost 5 is interested in task 1.\nHost 13 is interested in task 1.\nHost 6 is interested in task 10.\nHost 4 is interested in task 1.\nHost 5 is interested in task 12.\nHost 12 is interested in task 9.\nHost 1 is interested in task 13.\nHost 8 is interested in task 5.\nHost 8 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 10.\nHost 8 is interested in task 8.\nHost 7 is interested in task 6.\nHost 13 is interested in task 8.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 1 is interested in task 12.\nHost 13 is interested in task 5.\nHost 8 is interested in task 7.\nHost 1 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 0 is interested in task 7.\nHost 13 is interested in task 9.\nHost 4 is interested in task 11.\nHost 13 is interested in task 2.\nHost 1 is interested in task 6.\nHost 0 is interested in task 6.\nHost 5 is interested in task 4.\nHost 14 is interested in task 4.\nHost 7 is interested in task 9.\nHost 5 is interested in task 7.\nHost 1 is interested in task 10.\nHost 8 is interested in task 11.\nHost 4 is interested in task 6.\nHost 3 is interested in task 10.\nHost 2 is interested in task 12.\nHost 6 is interested in task 6.\nHost 13 is interested in task 10.\nHost 9 is interested in task 8.\nHost 13 is interested in task 7.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 14 is interested in task 13.\nHost 12 is interested in task 8.\nHost 8 is interested in task 4.\nHost 12 is interested in task 7.\nHost 12 is interested in task 10.\nHost 5 is interested in task 11.\nHost 13 is interested in task 3.\nHost 12 is interested in task 0.\nHost 3 is interested in task 3.\nHost 5 is interested in task 6.\nHost 13 is interested in task 4.\nHost 7 is interested in task 13.\nHost 11 is interested in task 5.\nHost 7 is interested in task 12.\nHost 4 is interested in task 8.\nHost 4 is interested in task 13.\nHost 9 is interested in task 9.\nHost 5 is interested in task 3.\nHost 3 is interested in task 8.\nHost 1 is interested in task 2.\nHost 13 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph49", "image": "data/matching/graph_visual/hard/graph49.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 8 is interested in task 1.\nHost 3 is interested in task 5.\nHost 9 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 8 is interested in task 0.\nHost 6 is interested in task 7.\nHost 1 is interested in task 7.\nHost 4 is interested in task 3.\nHost 9 is interested in task 4.\nHost 3 is interested in task 3.\nHost 8 is interested in task 6.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 3 is interested in task 4.\nHost 0 is interested in task 6.\nHost 6 is interested in task 3.\nHost 8 is interested in task 3.\nHost 3 is interested in task 0.\nHost 7 is interested in task 6.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 7 is interested in task 2.\nHost 5 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 8 is interested in task 7.\nHost 5 is interested in task 3.\nHost 9 is interested in task 0.\nHost 6 is interested in task 2.\nHost 9 is interested in task 2.\nHost 7 is interested in task 0.\nHost 2 is interested in task 3.\nHost 2 is interested in task 4.\nHost 2 is interested in task 7.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 3 is interested in task 6.\nHost 0 is interested in task 4.\nHost 4 is interested in task 7.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph3", "image": "data/matching/graph_visual/hard/graph3.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 4.\nHost 8 is interested in task 3.\nHost 3 is interested in task 4.\nHost 8 is interested in task 0.\nHost 7 is interested in task 6.\nHost 2 is interested in task 4.\nHost 9 is interested in task 0.\nHost 7 is interested in task 5.\nHost 4 is interested in task 3.\nHost 9 is interested in task 3.\nHost 2 is interested in task 6.\nHost 6 is interested in task 1.\nHost 9 is interested in task 4.\nHost 7 is interested in task 0.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 2.\nHost 5 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 1.\nHost 8 is interested in task 6.\nHost 2 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 5.\nHost 7 is interested in task 4.\nHost 3 is interested in task 1.\nHost 9 is interested in task 1.\nHost 2 is interested in task 3.\nHost 5 is interested in task 6.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 5 is interested in task 3.\nHost 7 is interested in task 1.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph890", "image": "data/matching/graph_visual/hard/graph890.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 5 is interested in task 10.\nHost 9 is interested in task 1.\nHost 13 is interested in task 0.\nHost 13 is interested in task 2.\nHost 9 is interested in task 0.\nHost 10 is interested in task 3.\nHost 3 is interested in task 4.\nHost 3 is interested in task 3.\nHost 12 is interested in task 4.\nHost 11 is interested in task 1.\nHost 1 is interested in task 2.\nHost 11 is interested in task 5.\nHost 5 is interested in task 1.\nHost 1 is interested in task 8.\nHost 13 is interested in task 9.\nHost 8 is interested in task 7.\nHost 4 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 6.\nHost 5 is interested in task 9.\nHost 4 is interested in task 8.\nHost 5 is interested in task 5.\nHost 2 is interested in task 10.\nHost 12 is interested in task 11.\nHost 9 is interested in task 11.\nHost 2 is interested in task 4.\nHost 12 is interested in task 10.\nHost 5 is interested in task 2.\nHost 1 is interested in task 3.\nHost 13 is interested in task 7.\nHost 13 is interested in task 10.\nHost 13 is interested in task 1.\nHost 6 is interested in task 5.\nHost 13 is interested in task 3.\nHost 1 is interested in task 5.\nHost 6 is interested in task 10.\nHost 3 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 4.\nHost 12 is interested in task 9.\nHost 13 is interested in task 8.\nHost 0 is interested in task 7.\nHost 8 is interested in task 11.\nHost 13 is interested in task 4.\nHost 3 is interested in task 1.\nHost 8 is interested in task 0.\nHost 7 is interested in task 6.\nHost 3 is interested in task 9.\nHost 13 is interested in task 11.\nHost 13 is interested in task 5.\nHost 7 is interested in task 5.\nHost 6 is interested in task 1.\nHost 11 is interested in task 9.\nHost 11 is interested in task 3.\nHost 6 is interested in task 7.\nHost 11 is interested in task 7.\nHost 5 is interested in task 4.\nHost 10 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph616", "image": "data/matching/graph_visual/hard/graph616.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 9.\nHost 7 is interested in task 8.\nHost 5 is interested in task 1.\nHost 10 is interested in task 3.\nHost 5 is interested in task 5.\nHost 4 is interested in task 0.\nHost 7 is interested in task 13.\nHost 2 is interested in task 11.\nHost 10 is interested in task 11.\nHost 0 is interested in task 0.\nHost 11 is interested in task 9.\nHost 9 is interested in task 1.\nHost 3 is interested in task 6.\nHost 5 is interested in task 12.\nHost 5 is interested in task 6.\nHost 2 is interested in task 1.\nHost 1 is interested in task 5.\nHost 11 is interested in task 10.\nHost 6 is interested in task 6.\nHost 10 is interested in task 9.\nHost 7 is interested in task 2.\nHost 7 is interested in task 5.\nHost 6 is interested in task 9.\nHost 8 is interested in task 4.\nHost 8 is interested in task 11.\nHost 3 is interested in task 12.\nHost 2 is interested in task 3.\nHost 1 is interested in task 3.\nHost 7 is interested in task 0.\nHost 2 is interested in task 14.\nHost 9 is interested in task 6.\nHost 10 is interested in task 7.\nHost 3 is interested in task 13.\nHost 11 is interested in task 0.\nHost 1 is interested in task 11.\nHost 6 is interested in task 8.\nHost 10 is interested in task 12.\nHost 0 is interested in task 13.\nHost 5 is interested in task 3.\nHost 5 is interested in task 11.\nHost 6 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 5.\nHost 7 is interested in task 4.\nHost 2 is interested in task 13.\nHost 0 is interested in task 3.\nHost 9 is interested in task 12.\nHost 11 is interested in task 6.\nHost 10 is interested in task 1.\nHost 6 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 5.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 7 is interested in task 11.\nHost 1 is interested in task 1.\nHost 3 is interested in task 10.\nHost 4 is interested in task 7.\nHost 7 is interested in task 14.\nHost 2 is interested in task 4.\nHost 9 is interested in task 3.\nHost 5 is interested in task 10.\nHost 10 is interested in task 6.\nHost 10 is interested in task 14.\nHost 6 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 7.\nHost 5 is interested in task 8.\nHost 5 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph317", "image": "data/matching/graph_visual/hard/graph317.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 10 is interested in task 3.\nHost 0 is interested in task 5.\nHost 3 is interested in task 9.\nHost 5 is interested in task 8.\nHost 3 is interested in task 6.\nHost 0 is interested in task 10.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 10.\nHost 5 is interested in task 5.\nHost 6 is interested in task 10.\nHost 8 is interested in task 8.\nHost 6 is interested in task 4.\nHost 7 is interested in task 3.\nHost 0 is interested in task 1.\nHost 10 is interested in task 7.\nHost 0 is interested in task 4.\nHost 2 is interested in task 10.\nHost 6 is interested in task 6.\nHost 6 is interested in task 5.\nHost 8 is interested in task 1.\nHost 5 is interested in task 7.\nHost 1 is interested in task 4.\nHost 1 is interested in task 9.\nHost 5 is interested in task 2.\nHost 0 is interested in task 7.\nHost 0 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 1.\nHost 9 is interested in task 10.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 9 is interested in task 9.\nHost 4 is interested in task 0.\nHost 4 is interested in task 9.\nHost 6 is interested in task 3.\nHost 8 is interested in task 10.\nHost 2 is interested in task 1.\nHost 2 is interested in task 8.\nHost 9 is interested in task 6.\nHost 9 is interested in task 1.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph877", "image": "data/matching/graph_visual/hard/graph877.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 11.\nHost 0 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 2 is interested in task 1.\nHost 10 is interested in task 7.\nHost 4 is interested in task 9.\nHost 1 is interested in task 1.\nHost 12 is interested in task 3.\nHost 1 is interested in task 5.\nHost 1 is interested in task 6.\nHost 11 is interested in task 0.\nHost 0 is interested in task 7.\nHost 4 is interested in task 5.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 8 is interested in task 5.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 6 is interested in task 10.\nHost 11 is interested in task 3.\nHost 6 is interested in task 5.\nHost 3 is interested in task 8.\nHost 12 is interested in task 1.\nHost 12 is interested in task 11.\nHost 8 is interested in task 3.\nHost 9 is interested in task 11.\nHost 9 is interested in task 9.\nHost 12 is interested in task 0.\nHost 10 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 3.\nHost 12 is interested in task 4.\nHost 2 is interested in task 9.\nHost 10 is interested in task 10.\nHost 13 is interested in task 1.\nHost 0 is interested in task 0.\nHost 3 is interested in task 9.\nHost 0 is interested in task 8.\nHost 0 is interested in task 1.\nHost 3 is interested in task 6.\nHost 2 is interested in task 10.\nHost 0 is interested in task 10.\nHost 12 is interested in task 2.\nHost 12 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 2.\nHost 8 is interested in task 10.\nHost 8 is interested in task 1.\nHost 5 is interested in task 0.\nHost 4 is interested in task 7.\nHost 11 is interested in task 7.\nHost 7 is interested in task 6.\nHost 9 is interested in task 3.\nHost 9 is interested in task 5.\nHost 11 is interested in task 4.\nHost 2 is interested in task 7.\nHost 1 is interested in task 3.\nHost 1 is interested in task 9.\nHost 2 is interested in task 3.\nHost 9 is interested in task 4.\nHost 8 is interested in task 2.\nHost 5 is interested in task 10.\nHost 5 is interested in task 3.\nHost 5 is interested in task 5.\nHost 13 is interested in task 8.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1098", "image": "data/matching/graph_visual/hard/graph1098.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 6.\nHost 5 is interested in task 1.\nHost 13 is interested in task 8.\nHost 6 is interested in task 11.\nHost 10 is interested in task 5.\nHost 2 is interested in task 12.\nHost 8 is interested in task 9.\nHost 11 is interested in task 3.\nHost 4 is interested in task 7.\nHost 13 is interested in task 4.\nHost 9 is interested in task 6.\nHost 9 is interested in task 3.\nHost 4 is interested in task 1.\nHost 5 is interested in task 4.\nHost 12 is interested in task 7.\nHost 1 is interested in task 9.\nHost 1 is interested in task 1.\nHost 12 is interested in task 5.\nHost 6 is interested in task 9.\nHost 14 is interested in task 4.\nHost 8 is interested in task 6.\nHost 12 is interested in task 12.\nHost 11 is interested in task 11.\nHost 7 is interested in task 5.\nHost 14 is interested in task 2.\nHost 13 is interested in task 6.\nHost 11 is interested in task 9.\nHost 3 is interested in task 11.\nHost 8 is interested in task 0.\nHost 13 is interested in task 9.\nHost 13 is interested in task 1.\nHost 10 is interested in task 1.\nHost 10 is interested in task 7.\nHost 4 is interested in task 8.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 10 is interested in task 3.\nHost 9 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 12.\nHost 14 is interested in task 1.\nHost 13 is interested in task 11.\nHost 4 is interested in task 10.\nHost 7 is interested in task 12.\nHost 5 is interested in task 10.\nHost 12 is interested in task 2.\nHost 11 is interested in task 0.\nHost 2 is interested in task 11.\nHost 12 is interested in task 8.\nHost 0 is interested in task 0.\nHost 9 is interested in task 10.\nHost 9 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 0.\nHost 13 is interested in task 10.\nHost 5 is interested in task 11.\nHost 5 is interested in task 9.\nHost 4 is interested in task 4.\nHost 3 is interested in task 4.\nHost 9 is interested in task 5.\nHost 6 is interested in task 8.\nHost 6 is interested in task 7.\nHost 12 is interested in task 1.\nHost 7 is interested in task 8.\nHost 13 is interested in task 12.\nHost 7 is interested in task 3.\nHost 0 is interested in task 5.\nHost 11 is interested in task 8.\nHost 9 is interested in task 12.\nHost 4 is interested in task 5.\nHost 0 is interested in task 4.\nHost 0 is interested in task 7.\nHost 7 is interested in task 7.\nHost 7 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph379", "image": "data/matching/graph_visual/hard/graph379.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 12.\nHost 8 is interested in task 11.\nHost 4 is interested in task 11.\nHost 0 is interested in task 9.\nHost 7 is interested in task 10.\nHost 10 is interested in task 12.\nHost 0 is interested in task 6.\nHost 3 is interested in task 12.\nHost 8 is interested in task 8.\nHost 4 is interested in task 4.\nHost 10 is interested in task 7.\nHost 0 is interested in task 10.\nHost 5 is interested in task 2.\nHost 6 is interested in task 9.\nHost 1 is interested in task 5.\nHost 9 is interested in task 2.\nHost 8 is interested in task 2.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 5.\nHost 2 is interested in task 12.\nHost 7 is interested in task 12.\nHost 5 is interested in task 8.\nHost 5 is interested in task 7.\nHost 6 is interested in task 8.\nHost 2 is interested in task 3.\nHost 10 is interested in task 10.\nHost 4 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 9.\nHost 0 is interested in task 2.\nHost 7 is interested in task 0.\nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 2 is interested in task 8.\nHost 2 is interested in task 2.\nHost 1 is interested in task 8.\nHost 8 is interested in task 6.\nHost 10 is interested in task 9.\nHost 6 is interested in task 4.\nHost 9 is interested in task 4.\nHost 6 is interested in task 11.\nHost 3 is interested in task 2.\nHost 1 is interested in task 1.\nHost 8 is interested in task 4.\nHost 3 is interested in task 0.\nHost 6 is interested in task 1.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 12.\nHost 10 is interested in task 1.\nHost 3 is interested in task 1.\nHost 2 is interested in task 11.\nHost 3 is interested in task 9.\nHost 0 is interested in task 11.\nHost 7 is interested in task 5.\nHost 9 is interested in task 8.\nHost 5 is interested in task 11.\nHost 3 is interested in task 8.\nHost 3 is interested in task 3.\nHost 4 is interested in task 7.\nHost 7 is interested in task 8.\nHost 1 is interested in task 2.\nHost 7 is interested in task 4.\nHost 10 is interested in task 8.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 5 is interested in task 4.\nHost 8 is interested in task 7.\nHost 8 is interested in task 12.\nHost 2 is interested in task 7.\nHost 1 is interested in task 11.\nHost 10 is interested in task 5.\nHost 7 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph419", "image": "data/matching/graph_visual/hard/graph419.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 6.\nHost 4 is interested in task 3.\nHost 1 is interested in task 3.\nHost 7 is interested in task 3.\nHost 5 is interested in task 9.\nHost 1 is interested in task 7.\nHost 3 is interested in task 4.\nHost 6 is interested in task 0.\nHost 10 is interested in task 9.\nHost 8 is interested in task 0.\nHost 5 is interested in task 4.\nHost 3 is interested in task 13.\nHost 8 is interested in task 10.\nHost 0 is interested in task 12.\nHost 0 is interested in task 10.\nHost 0 is interested in task 3.\nHost 4 is interested in task 4.\nHost 1 is interested in task 9.\nHost 0 is interested in task 0.\nHost 10 is interested in task 0.\nHost 5 is interested in task 0.\nHost 2 is interested in task 9.\nHost 8 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 2.\nHost 4 is interested in task 11.\nHost 7 is interested in task 11.\nHost 3 is interested in task 1.\nHost 8 is interested in task 6.\nHost 0 is interested in task 7.\nHost 0 is interested in task 4.\nHost 7 is interested in task 0.\nHost 6 is interested in task 10.\nHost 4 is interested in task 7.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 9 is interested in task 0.\nHost 8 is interested in task 9.\nHost 7 is interested in task 12.\nHost 2 is interested in task 8.\nHost 7 is interested in task 10.\nHost 4 is interested in task 8.\nHost 7 is interested in task 1.\nHost 3 is interested in task 10.\nHost 4 is interested in task 5.\nHost 1 is interested in task 10.\nHost 0 is interested in task 11.\nHost 10 is interested in task 7.\nHost 5 is interested in task 10.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 7 is interested in task 7.\nHost 4 is interested in task 6.\nHost 0 is interested in task 5.\nHost 1 is interested in task 12.\nHost 8 is interested in task 12.\nHost 8 is interested in task 11.\nHost 6 is interested in task 11.\nHost 4 is interested in task 13.\nHost 8 is interested in task 1.\nHost 9 is interested in task 5.\nHost 6 is interested in task 12.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph691", "image": "data/matching/graph_visual/hard/graph691.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 10.\nHost 7 is interested in task 0.\nHost 2 is interested in task 4.\nHost 11 is interested in task 8.\nHost 4 is interested in task 6.\nHost 6 is interested in task 9.\nHost 12 is interested in task 8.\nHost 3 is interested in task 11.\nHost 8 is interested in task 0.\nHost 12 is interested in task 3.\nHost 11 is interested in task 5.\nHost 7 is interested in task 3.\nHost 11 is interested in task 9.\nHost 7 is interested in task 5.\nHost 5 is interested in task 0.\nHost 9 is interested in task 6.\nHost 1 is interested in task 6.\nHost 12 is interested in task 10.\nHost 12 is interested in task 7.\nHost 11 is interested in task 11.\nHost 10 is interested in task 0.\nHost 5 is interested in task 11.\nHost 9 is interested in task 10.\nHost 3 is interested in task 7.\nHost 8 is interested in task 6.\nHost 7 is interested in task 4.\nHost 8 is interested in task 11.\nHost 1 is interested in task 5.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 6 is interested in task 11.\nHost 9 is interested in task 5.\nHost 8 is interested in task 3.\nHost 12 is interested in task 2.\nHost 0 is interested in task 8.\nHost 11 is interested in task 3.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 11 is interested in task 4.\nHost 5 is interested in task 8.\nHost 10 is interested in task 6.\nHost 12 is interested in task 6.\nHost 0 is interested in task 7.\nHost 9 is interested in task 0.\nHost 4 is interested in task 11.\nHost 10 is interested in task 10.\nHost 3 is interested in task 9.\nHost 11 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 0.\nHost 10 is interested in task 8.\nHost 9 is interested in task 9.\nHost 8 is interested in task 4.\nHost 1 is interested in task 8.\nHost 3 is interested in task 8.\nHost 10 is interested in task 9.\nHost 11 is interested in task 10.\nHost 10 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph613", "image": "data/matching/graph_visual/hard/graph613.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 14.\nHost 0 is interested in task 0.\nHost 9 is interested in task 11.\nHost 5 is interested in task 9.\nHost 3 is interested in task 0.\nHost 3 is interested in task 9.\nHost 7 is interested in task 4.\nHost 8 is interested in task 10.\nHost 11 is interested in task 14.\nHost 3 is interested in task 11.\nHost 9 is interested in task 5.\nHost 6 is interested in task 6.\nHost 0 is interested in task 11.\nHost 7 is interested in task 8.\nHost 7 is interested in task 11.\nHost 11 is interested in task 7.\nHost 10 is interested in task 6.\nHost 4 is interested in task 13.\nHost 9 is interested in task 13.\nHost 8 is interested in task 6.\nHost 4 is interested in task 4.\nHost 0 is interested in task 1.\nHost 9 is interested in task 12.\nHost 7 is interested in task 3.\nHost 10 is interested in task 13.\nHost 5 is interested in task 4.\nHost 10 is interested in task 5.\nHost 4 is interested in task 0.\nHost 8 is interested in task 1.\nHost 9 is interested in task 7.\nHost 7 is interested in task 0.\nHost 5 is interested in task 1.\nHost 2 is interested in task 10.\nHost 8 is interested in task 13.\nHost 11 is interested in task 0.\nHost 0 is interested in task 5.\nHost 8 is interested in task 9.\nHost 3 is interested in task 5.\nHost 5 is interested in task 6.\nHost 6 is interested in task 9.\nHost 6 is interested in task 7.\nHost 2 is interested in task 1.\nHost 11 is interested in task 9.\nHost 5 is interested in task 2.\nHost 4 is interested in task 12.\nHost 7 is interested in task 1.\nHost 0 is interested in task 7.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 4 is interested in task 14.\nHost 11 is interested in task 12.\nHost 5 is interested in task 8.\nHost 9 is interested in task 4.\nHost 1 is interested in task 4.\nHost 5 is interested in task 12.\nHost 4 is interested in task 11.\nHost 0 is interested in task 12.\nHost 6 is interested in task 1.\nHost 0 is interested in task 14.\nHost 4 is interested in task 9.\nHost 6 is interested in task 0.\nHost 7 is interested in task 6.\nHost 0 is interested in task 8.\nHost 5 is interested in task 14.\nHost 0 is interested in task 3.\nHost 6 is interested in task 12.\nHost 1 is interested in task 7.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1071", "image": "data/matching/graph_visual/hard/graph1071.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 0.\nHost 13 is interested in task 5.\nHost 10 is interested in task 7.\nHost 11 is interested in task 5.\nHost 1 is interested in task 5.\nHost 13 is interested in task 3.\nHost 12 is interested in task 3.\nHost 8 is interested in task 3.\nHost 8 is interested in task 6.\nHost 12 is interested in task 4.\nHost 8 is interested in task 11.\nHost 7 is interested in task 1.\nHost 12 is interested in task 1.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 13 is interested in task 11.\nHost 12 is interested in task 10.\nHost 6 is interested in task 1.\nHost 5 is interested in task 7.\nHost 10 is interested in task 11.\nHost 8 is interested in task 9.\nHost 6 is interested in task 8.\nHost 14 is interested in task 3.\nHost 2 is interested in task 1.\nHost 0 is interested in task 9.\nHost 14 is interested in task 8.\nHost 10 is interested in task 8.\nHost 11 is interested in task 1.\nHost 3 is interested in task 11.\nHost 6 is interested in task 3.\nHost 6 is interested in task 11.\nHost 2 is interested in task 7.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 11 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 1.\nHost 14 is interested in task 6.\nHost 12 is interested in task 5.\nHost 7 is interested in task 5.\nHost 2 is interested in task 10.\nHost 12 is interested in task 7.\nHost 9 is interested in task 10.\nHost 7 is interested in task 7.\nHost 5 is interested in task 6.\nHost 1 is interested in task 4.\nHost 12 is interested in task 2.\nHost 2 is interested in task 4.\nHost 9 is interested in task 9.\nHost 13 is interested in task 2.\nHost 11 is interested in task 10.\nHost 11 is interested in task 6.\nHost 7 is interested in task 2.\nHost 2 is interested in task 2.\nHost 1 is interested in task 10.\nHost 7 is interested in task 10.\nHost 10 is interested in task 6.\nHost 4 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 9.\nHost 0 is interested in task 1.\nHost 5 is interested in task 2.\nHost 14 is interested in task 7.\nHost 5 is interested in task 0.\nHost 13 is interested in task 1.\nHost 3 is interested in task 4.\nHost 9 is interested in task 5.\nHost 2 is interested in task 11.\nHost 8 is interested in task 4.\nHost 6 is interested in task 4.\nHost 12 is interested in task 8.\nHost 9 is interested in task 4.\nHost 5 is interested in task 11.\nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph958", "image": "data/matching/graph_visual/hard/graph958.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 13 is interested in task 4.\nHost 3 is interested in task 11.\nHost 13 is interested in task 7.\nHost 0 is interested in task 3.\nHost 11 is interested in task 8.\nHost 3 is interested in task 0.\nHost 13 is interested in task 11.\nHost 5 is interested in task 12.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 10 is interested in task 7.\nHost 10 is interested in task 1.\nHost 0 is interested in task 12.\nHost 5 is interested in task 5.\nHost 4 is interested in task 5.\nHost 11 is interested in task 6.\nHost 7 is interested in task 8.\nHost 13 is interested in task 2.\nHost 3 is interested in task 8.\nHost 13 is interested in task 9.\nHost 7 is interested in task 1.\nHost 9 is interested in task 1.\nHost 10 is interested in task 2.\nHost 8 is interested in task 12.\nHost 8 is interested in task 10.\nHost 11 is interested in task 3.\nHost 3 is interested in task 1.\nHost 10 is interested in task 0.\nHost 0 is interested in task 1.\nHost 12 is interested in task 12.\nHost 12 is interested in task 10.\nHost 2 is interested in task 9.\nHost 3 is interested in task 7.\nHost 5 is interested in task 7.\nHost 12 is interested in task 8.\nHost 4 is interested in task 13.\nHost 3 is interested in task 3.\nHost 13 is interested in task 5.\nHost 11 is interested in task 12.\nHost 1 is interested in task 10.\nHost 7 is interested in task 9.\nHost 3 is interested in task 13.\nHost 2 is interested in task 7.\nHost 13 is interested in task 10.\nHost 6 is interested in task 10.\nHost 9 is interested in task 2.\nHost 9 is interested in task 3.\nHost 7 is interested in task 2.\nHost 4 is interested in task 0.\nHost 5 is interested in task 1.\nHost 7 is interested in task 11.\nHost 7 is interested in task 7.\nHost 8 is interested in task 6.\nHost 10 is interested in task 4.\nHost 11 is interested in task 13.\nHost 6 is interested in task 0.\nHost 2 is interested in task 8.\nHost 2 is interested in task 12.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 5 is interested in task 3.\nHost 6 is interested in task 9.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1198", "image": "data/matching/graph_visual/hard/graph1198.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 11.\nHost 6 is interested in task 8.\nHost 8 is interested in task 6.\nHost 9 is interested in task 15.\nHost 6 is interested in task 15.\nHost 13 is interested in task 2.\nHost 3 is interested in task 11.\nHost 7 is interested in task 12.\nHost 7 is interested in task 10.\nHost 6 is interested in task 14.\nHost 6 is interested in task 4.\nHost 12 is interested in task 15.\nHost 8 is interested in task 12.\nHost 10 is interested in task 8.\nHost 8 is interested in task 2.\nHost 7 is interested in task 8.\nHost 8 is interested in task 13.\nHost 1 is interested in task 0.\nHost 13 is interested in task 10.\nHost 3 is interested in task 7.\nHost 2 is interested in task 5.\nHost 9 is interested in task 3.\nHost 13 is interested in task 13.\nHost 13 is interested in task 5.\nHost 8 is interested in task 7.\nHost 14 is interested in task 7.\nHost 7 is interested in task 0.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 8 is interested in task 0.\nHost 5 is interested in task 10.\nHost 8 is interested in task 11.\nHost 12 is interested in task 10.\nHost 10 is interested in task 15.\nHost 12 is interested in task 7.\nHost 13 is interested in task 0.\nHost 2 is interested in task 1.\nHost 14 is interested in task 9.\nHost 0 is interested in task 11.\nHost 0 is interested in task 6.\nHost 8 is interested in task 10.\nHost 0 is interested in task 5.\nHost 1 is interested in task 9.\nHost 1 is interested in task 6.\nHost 7 is interested in task 3.\nHost 0 is interested in task 12.\nHost 5 is interested in task 12.\nHost 10 is interested in task 0.\nHost 6 is interested in task 2.\nHost 1 is interested in task 15.\nHost 10 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 6 is interested in task 5.\nHost 7 is interested in task 7.\nHost 0 is interested in task 0.\nHost 14 is interested in task 11.\nHost 5 is interested in task 13.\nHost 6 is interested in task 12.\nHost 5 is interested in task 1.\nHost 10 is interested in task 5.\nHost 14 is interested in task 13.\nHost 8 is interested in task 9.\nHost 6 is interested in task 6.\nHost 5 is interested in task 14.\nHost 5 is interested in task 9.\nHost 6 is interested in task 3.\nHost 8 is interested in task 5.\nHost 2 is interested in task 3.\nHost 9 is interested in task 0.\nHost 6 is interested in task 9.\nHost 4 is interested in task 2.\nHost 1 is interested in task 14.\nHost 1 is interested in task 10.\nHost 14 is interested in task 5.\nHost 6 is interested in task 13.\nHost 14 is interested in task 14.\nHost 1 is interested in task 1.\nHost 10 is interested in task 11.\nHost 13 is interested in task 4.\nHost 14 is interested in task 0.\nHost 14 is interested in task 6.\nHost 2 is interested in task 11.\nHost 5 is interested in task 7.\nHost 8 is interested in task 4.\nHost 11 is interested in task 7.\nHost 9 is interested in task 9.\nHost 3 is interested in task 12.\nHost 10 is interested in task 7.\nHost 3 is interested in task 3.\nHost 13 is interested in task 15.\nHost 3 is interested in task 6.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph452", "image": "data/matching/graph_visual/hard/graph452.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 9.\nHost 1 is interested in task 8.\nHost 8 is interested in task 8.\nHost 0 is interested in task 2.\nHost 6 is interested in task 6.\nHost 3 is interested in task 4.\nHost 8 is interested in task 7.\nHost 7 is interested in task 7.\nHost 7 is interested in task 8.\nHost 6 is interested in task 0.\nHost 7 is interested in task 4.\nHost 8 is interested in task 6.\nHost 8 is interested in task 0.\nHost 0 is interested in task 5.\nHost 11 is interested in task 5.\nHost 4 is interested in task 5.\nHost 10 is interested in task 9.\nHost 0 is interested in task 6.\nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 11 is interested in task 2.\nHost 11 is interested in task 4.\nHost 5 is interested in task 2.\nHost 9 is interested in task 1.\nHost 11 is interested in task 1.\nHost 5 is interested in task 5.\nHost 4 is interested in task 7.\nHost 11 is interested in task 3.\nHost 9 is interested in task 5.\nHost 4 is interested in task 1.\nHost 4 is interested in task 8.\nHost 1 is interested in task 1.\nHost 9 is interested in task 7.\nHost 11 is interested in task 0.\nHost 9 is interested in task 4.\nHost 11 is interested in task 6.\nHost 9 is interested in task 3.\nHost 3 is interested in task 6.\nHost 11 is interested in task 9.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph741", "image": "data/matching/graph_visual/hard/graph741.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 6 is interested in task 10.\nHost 9 is interested in task 11.\nHost 2 is interested in task 12.\nHost 2 is interested in task 11.\nHost 10 is interested in task 10.\nHost 6 is interested in task 4.\nHost 0 is interested in task 7.\nHost 0 is interested in task 3.\nHost 5 is interested in task 11.\nHost 7 is interested in task 5.\nHost 0 is interested in task 5.\nHost 8 is interested in task 12.\nHost 12 is interested in task 1.\nHost 2 is interested in task 9.\nHost 6 is interested in task 6.\nHost 9 is interested in task 12.\nHost 9 is interested in task 3.\nHost 10 is interested in task 12.\nHost 8 is interested in task 3.\nHost 12 is interested in task 6.\nHost 0 is interested in task 9.\nHost 7 is interested in task 4.\nHost 1 is interested in task 1.\nHost 7 is interested in task 9.\nHost 0 is interested in task 4.\nHost 11 is interested in task 2.\nHost 5 is interested in task 2.\nHost 7 is interested in task 8.\nHost 8 is interested in task 9.\nHost 0 is interested in task 0.\nHost 4 is interested in task 9.\nHost 12 is interested in task 3.\nHost 12 is interested in task 0.\nHost 12 is interested in task 9.\nHost 12 is interested in task 4.\nHost 6 is interested in task 8.\nHost 5 is interested in task 7.\nHost 0 is interested in task 1.\nHost 4 is interested in task 6.\nHost 8 is interested in task 8.\nHost 3 is interested in task 12.\nHost 2 is interested in task 10.\nHost 9 is interested in task 9.\nHost 2 is interested in task 5.\nHost 7 is interested in task 7.\nHost 12 is interested in task 7.\nHost 5 is interested in task 10.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5.\nHost 11 is interested in task 8.\nHost 3 is interested in task 8.\nHost 2 is interested in task 4.\nHost 5 is interested in task 8.\nHost 5 is interested in task 3.\nHost 8 is interested in task 0.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 1.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 11.\nHost 6 is interested in task 5.\nHost 4 is interested in task 5.\nHost 5 is interested in task 12.\nHost 6 is interested in task 1.\nHost 2 is interested in task 0.\nHost 8 is interested in task 4.\nHost 8 is interested in task 6.\nHost 10 is interested in task 11.\nHost 7 is interested in task 2.\nHost 11 is interested in task 4.\nHost 12 is interested in task 5.\nHost 5 is interested in task 1.\nHost 5 is interested in task 4.\nHost 12 is interested in task 2.\nHost 9 is interested in task 8.\nHost 7 is interested in task 10.\nHost 0 is interested in task 2.\nHost 0 is interested in task 10.\nHost 4 is interested in task 10.\nHost 3 is interested in task 9.\nHost 10 is interested in task 6.\nHost 7 is interested in task 1.\nHost 12 is interested in task 8.\nHost 8 is interested in task 2.\nHost 4 is interested in task 11.\nHost 7 is interested in task 12.\nHost 5 is interested in task 5.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph174", "image": "data/matching/graph_visual/hard/graph174.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 8 is interested in task 10.\nHost 5 is interested in task 1.\nHost 8 is interested in task 9.\nHost 3 is interested in task 0.\nHost 8 is interested in task 2.\nHost 5 is interested in task 0.\nHost 4 is interested in task 7.\nHost 5 is interested in task 10.\nHost 6 is interested in task 8.\nHost 0 is interested in task 6.\nHost 9 is interested in task 1.\nHost 5 is interested in task 11.\nHost 9 is interested in task 5.\nHost 7 is interested in task 3.\nHost 8 is interested in task 11.\nHost 4 is interested in task 5.\nHost 6 is interested in task 7.\nHost 6 is interested in task 4.\nHost 1 is interested in task 7.\nHost 4 is interested in task 3.\nHost 6 is interested in task 10.\nHost 1 is interested in task 11.\nHost 9 is interested in task 0.\nHost 1 is interested in task 1.\nHost 4 is interested in task 8.\nHost 9 is interested in task 7.\nHost 8 is interested in task 5.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 9.\nHost 7 is interested in task 0.\nHost 6 is interested in task 3.\nHost 4 is interested in task 9.\nHost 0 is interested in task 11.\nHost 3 is interested in task 4.\nHost 2 is interested in task 2.\nHost 2 is interested in task 6.\nHost 7 is interested in task 6.\nHost 6 is interested in task 11.\nHost 0 is interested in task 0.\nHost 7 is interested in task 7.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5.\nHost 9 is interested in task 9.\nHost 2 is interested in task 7.\nHost 5 is interested in task 7.\nHost 7 is interested in task 1.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 3 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph84", "image": "data/matching/graph_visual/hard/graph84.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 9 is interested in task 5.\nHost 9 is interested in task 7.\nHost 6 is interested in task 1.\nHost 4 is interested in task 7.\nHost 9 is interested in task 1.\nHost 5 is interested in task 5.\nHost 4 is interested in task 1.\nHost 8 is interested in task 3.\nHost 6 is interested in task 6.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 5 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 7.\nHost 3 is interested in task 3.\nHost 0 is interested in task 0.\nHost 8 is interested in task 7.\nHost 0 is interested in task 6.\nHost 5 is interested in task 8.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 9 is interested in task 6.\nHost 5 is interested in task 3.\nHost 3 is interested in task 6.\nHost 4 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 5 is interested in task 7.\nHost 3 is interested in task 1.\nHost 5 is interested in task 6.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1037", "image": "data/matching/graph_visual/hard/graph1037.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 8.\nHost 2 is interested in task 10.\nHost 13 is interested in task 4.\nHost 3 is interested in task 6.\nHost 6 is interested in task 10.\nHost 3 is interested in task 13.\nHost 10 is interested in task 2.\nHost 13 is interested in task 15.\nHost 5 is interested in task 10.\nHost 7 is interested in task 3.\nHost 13 is interested in task 5.\nHost 13 is interested in task 8.\nHost 13 is interested in task 6.\nHost 13 is interested in task 2.\nHost 5 is interested in task 2.\nHost 7 is interested in task 0.\nHost 5 is interested in task 0.\nHost 12 is interested in task 16.\nHost 11 is interested in task 13.\nHost 11 is interested in task 4.\nHost 6 is interested in task 3.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 4 is interested in task 8.\nHost 5 is interested in task 11.\nHost 2 is interested in task 12.\nHost 5 is interested in task 3.\nHost 8 is interested in task 12.\nHost 1 is interested in task 3.\nHost 8 is interested in task 9.\nHost 10 is interested in task 12.\nHost 1 is interested in task 16.\nHost 1 is interested in task 9.\nHost 11 is interested in task 15.\nHost 1 is interested in task 15.\nHost 6 is interested in task 5.\nHost 3 is interested in task 7.\nHost 12 is interested in task 7.\nHost 6 is interested in task 4.\nHost 13 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 4 is interested in task 14.\nHost 10 is interested in task 6.\nHost 7 is interested in task 8.\nHost 12 is interested in task 0.\nHost 4 is interested in task 0.\nHost 12 is interested in task 6.\nHost 8 is interested in task 8.\nHost 0 is interested in task 4.\nHost 9 is interested in task 16.\nHost 2 is interested in task 14.\nHost 9 is interested in task 14.\nHost 9 is interested in task 10.\nHost 2 is interested in task 9.\nHost 9 is interested in task 3.\nHost 13 is interested in task 12.\nHost 8 is interested in task 1.\nHost 5 is interested in task 15.\nHost 7 is interested in task 13.\nHost 12 is interested in task 1.\nHost 3 is interested in task 16.\nHost 13 is interested in task 9.\nHost 12 is interested in task 13.\nHost 13 is interested in task 7.\nHost 11 is interested in task 9.\nHost 5 is interested in task 8.\nHost 11 is interested in task 8.\nHost 0 is interested in task 13.\nHost 7 is interested in task 6.\nHost 0 is interested in task 9.\nHost 0 is interested in task 6.\nHost 4 is interested in task 16.\nHost 0 is interested in task 14.\nHost 2 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 9.\nHost 3 is interested in task 12.\nHost 12 is interested in task 5.\nHost 11 is interested in task 10.\nHost 12 is interested in task 4.\nHost 7 is interested in task 16.\nHost 2 is interested in task 6.\nHost 12 is interested in task 9.\nHost 9 is interested in task 8.\nHost 3 is interested in task 1.\nHost 2 is interested in task 4.\nHost 6 is interested in task 9.\nHost 0 is interested in task 8.\nHost 6 is interested in task 15.\nHost 9 is interested in task 4.\nHost 3 is interested in task 0.\nHost 7 is interested in task 10.\nHost 8 is interested in task 0.\nHost 4 is interested in task 15.\nHost 4 is interested in task 5.\nHost 11 is interested in task 3.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 0.\nHost 3 is interested in task 9.\nHost 13 is interested in task 16.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph944", "image": "data/matching/graph_visual/hard/graph944.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 11.\nHost 11 is interested in task 1.\nHost 2 is interested in task 9.\nHost 0 is interested in task 12.\nHost 5 is interested in task 9.\nHost 2 is interested in task 7.\nHost 11 is interested in task 12.\nHost 12 is interested in task 11.\nHost 13 is interested in task 6.\nHost 10 is interested in task 3.\nHost 7 is interested in task 8.\nHost 3 is interested in task 2.\nHost 7 is interested in task 9.\nHost 2 is interested in task 4.\nHost 12 is interested in task 12.\nHost 6 is interested in task 1.\nHost 9 is interested in task 9.\nHost 10 is interested in task 7.\nHost 5 is interested in task 10.\nHost 3 is interested in task 9.\nHost 8 is interested in task 5.\nHost 2 is interested in task 0.\nHost 9 is interested in task 1.\nHost 8 is interested in task 1.\nHost 6 is interested in task 11.\nHost 8 is interested in task 7.\nHost 5 is interested in task 0.\nHost 9 is interested in task 6.\nHost 10 is interested in task 12.\nHost 1 is interested in task 3.\nHost 2 is interested in task 13.\nHost 8 is interested in task 3.\nHost 1 is interested in task 4.\nHost 10 is interested in task 2.\nHost 5 is interested in task 3.\nHost 5 is interested in task 8.\nHost 9 is interested in task 4.\nHost 9 is interested in task 8.\nHost 0 is interested in task 5.\nHost 13 is interested in task 11.\nHost 10 is interested in task 10.\nHost 8 is interested in task 6.\nHost 10 is interested in task 1.\nHost 7 is interested in task 0.\nHost 2 is interested in task 5.\nHost 8 is interested in task 4.\nHost 10 is interested in task 0.\nHost 10 is interested in task 11.\nHost 11 is interested in task 2.\nHost 10 is interested in task 5.\nHost 2 is interested in task 8.\nHost 9 is interested in task 0.\nHost 12 is interested in task 1.\nHost 6 is interested in task 6.\nHost 13 is interested in task 9.\nHost 3 is interested in task 3.\nHost 9 is interested in task 10.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 5.\nHost 1 is interested in task 2.\nHost 8 is interested in task 10.\nHost 4 is interested in task 9.\nHost 13 is interested in task 0.\nHost 10 is interested in task 4.\nHost 1 is interested in task 9.\nHost 12 is interested in task 2.\nHost 6 is interested in task 7.\nHost 10 is interested in task 6.\nHost 11 is interested in task 7.\nHost 4 is interested in task 4.\nHost 6 is interested in task 9.\nHost 12 is interested in task 9.\nHost 5 is interested in task 5.\nHost 11 is interested in task 11.\nHost 2 is interested in task 12.\nHost 11 is interested in task 10.\nHost 12 is interested in task 13.\nHost 9 is interested in task 2.\nHost 10 is interested in task 8.\nHost 9 is interested in task 13.\nHost 3 is interested in task 7.\nHost 1 is interested in task 11.\nHost 2 is interested in task 11.\nHost 9 is interested in task 7.\nHost 4 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph556", "image": "data/matching/graph_visual/hard/graph556.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 8.\nHost 6 is interested in task 1.\nHost 7 is interested in task 9.\nHost 1 is interested in task 3.\nHost 8 is interested in task 0.\nHost 0 is interested in task 9.\nHost 1 is interested in task 10.\nHost 8 is interested in task 10.\nHost 2 is interested in task 10.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 6 is interested in task 2.\nHost 4 is interested in task 5.\nHost 9 is interested in task 2.\nHost 10 is interested in task 10.\nHost 8 is interested in task 12.\nHost 0 is interested in task 5.\nHost 5 is interested in task 6.\nHost 4 is interested in task 12.\nHost 11 is interested in task 1.\nHost 0 is interested in task 11.\nHost 7 is interested in task 6.\nHost 2 is interested in task 11.\nHost 7 is interested in task 5.\nHost 9 is interested in task 0.\nHost 7 is interested in task 0.\nHost 7 is interested in task 10.\nHost 1 is interested in task 8.\nHost 3 is interested in task 7.\nHost 9 is interested in task 9.\nHost 0 is interested in task 12.\nHost 2 is interested in task 5.\nHost 8 is interested in task 4.\nHost 4 is interested in task 2.\nHost 9 is interested in task 7.\nHost 9 is interested in task 11.\nHost 5 is interested in task 1.\nHost 5 is interested in task 10.\nHost 8 is interested in task 9.\nHost 2 is interested in task 12.\nHost 3 is interested in task 1.\nHost 9 is interested in task 4.\nHost 11 is interested in task 6.\nHost 7 is interested in task 4.\nHost 7 is interested in task 12.\nHost 9 is interested in task 12.\nHost 5 is interested in task 9.\nHost 5 is interested in task 7.\nHost 10 is interested in task 4.\nHost 4 is interested in task 6.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph828", "image": "data/matching/graph_visual/hard/graph828.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 8.\nHost 5 is interested in task 14.\nHost 5 is interested in task 11.\nHost 4 is interested in task 4.\nHost 3 is interested in task 8.\nHost 8 is interested in task 7.\nHost 0 is interested in task 3.\nHost 1 is interested in task 9.\nHost 5 is interested in task 7.\nHost 3 is interested in task 9.\nHost 6 is interested in task 4.\nHost 3 is interested in task 13.\nHost 4 is interested in task 6.\nHost 9 is interested in task 6.\nHost 8 is interested in task 9.\nHost 3 is interested in task 4.\nHost 9 is interested in task 0.\nHost 2 is interested in task 0.\nHost 4 is interested in task 12.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 6 is interested in task 1.\nHost 12 is interested in task 14.\nHost 0 is interested in task 10.\nHost 7 is interested in task 10.\nHost 5 is interested in task 13.\nHost 12 is interested in task 13.\nHost 4 is interested in task 1.\nHost 3 is interested in task 10.\nHost 11 is interested in task 12.\nHost 6 is interested in task 6.\nHost 1 is interested in task 15.\nHost 7 is interested in task 15.\nHost 12 is interested in task 15.\nHost 5 is interested in task 9.\nHost 12 is interested in task 0.\nHost 6 is interested in task 11.\nHost 2 is interested in task 4.\nHost 11 is interested in task 13.\nHost 8 is interested in task 2.\nHost 11 is interested in task 7.\nHost 8 is interested in task 1.\nHost 12 is interested in task 10.\nHost 12 is interested in task 9.\nHost 5 is interested in task 15.\nHost 9 is interested in task 7.\nHost 11 is interested in task 3.\nHost 4 is interested in task 3.\nHost 9 is interested in task 5.\nHost 8 is interested in task 14.\nHost 0 is interested in task 14.\nHost 2 is interested in task 10.\nHost 10 is interested in task 13.\nHost 4 is interested in task 13.\nHost 12 is interested in task 12.\nHost 6 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 6 is interested in task 13.\nHost 12 is interested in task 5.\nHost 6 is interested in task 14.\nHost 9 is interested in task 11.\nHost 10 is interested in task 1.\nHost 8 is interested in task 13.\nHost 8 is interested in task 3.\nHost 11 is interested in task 1.\nHost 11 is interested in task 14.\nHost 5 is interested in task 8.\nHost 3 is interested in task 6.\nHost 3 is interested in task 3.\nHost 12 is interested in task 11.\nHost 3 is interested in task 2.\nHost 6 is interested in task 10.\nHost 4 is interested in task 15.\nHost 12 is interested in task 7.\nHost 8 is interested in task 4.\nHost 5 is interested in task 1.\nHost 1 is interested in task 8.\nHost 6 is interested in task 15.\nHost 4 is interested in task 14.\nHost 9 is interested in task 1.\nHost 6 is interested in task 5.\nHost 4 is interested in task 2.\nHost 11 is interested in task 4.\nHost 9 is interested in task 13.\nHost 7 is interested in task 14.\nHost 7 is interested in task 1.\nHost 10 is interested in task 6.\nHost 10 is interested in task 5.\nHost 11 is interested in task 10.\nHost 3 is interested in task 0.\nHost 11 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph750", "image": "data/matching/graph_visual/hard/graph750.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 5.\nHost 11 is interested in task 4.\nHost 8 is interested in task 2.\nHost 7 is interested in task 11.\nHost 2 is interested in task 12.\nHost 2 is interested in task 7.\nHost 10 is interested in task 7.\nHost 9 is interested in task 11.\nHost 12 is interested in task 4.\nHost 1 is interested in task 7.\nHost 8 is interested in task 7.\nHost 1 is interested in task 9.\nHost 0 is interested in task 3.\nHost 0 is interested in task 13.\nHost 6 is interested in task 6.\nHost 1 is interested in task 1.\nHost 9 is interested in task 8.\nHost 6 is interested in task 9.\nHost 9 is interested in task 2.\nHost 4 is interested in task 13.\nHost 6 is interested in task 2.\nHost 12 is interested in task 11.\nHost 12 is interested in task 9.\nHost 10 is interested in task 11.\nHost 12 is interested in task 1.\nHost 10 is interested in task 4.\nHost 11 is interested in task 10.\nHost 2 is interested in task 10.\nHost 2 is interested in task 11.\nHost 7 is interested in task 9.\nHost 11 is interested in task 12.\nHost 11 is interested in task 5.\nHost 6 is interested in task 4.\nHost 9 is interested in task 10.\nHost 7 is interested in task 5.\nHost 5 is interested in task 12.\nHost 4 is interested in task 11.\nHost 5 is interested in task 6.\nHost 8 is interested in task 9.\nHost 5 is interested in task 0.\nHost 9 is interested in task 13.\nHost 4 is interested in task 8.\nHost 7 is interested in task 8.\nHost 1 is interested in task 0.\nHost 12 is interested in task 10.\nHost 1 is interested in task 5.\nHost 10 is interested in task 12.\nHost 6 is interested in task 13.\nHost 10 is interested in task 5.\nHost 10 is interested in task 3.\nHost 11 is interested in task 7.\nHost 9 is interested in task 12.\nHost 12 is interested in task 8.\nHost 11 is interested in task 8.\nHost 9 is interested in task 9.\nHost 1 is interested in task 2.\nHost 3 is interested in task 11.\nHost 6 is interested in task 7.\nHost 2 is interested in task 2.\nHost 10 is interested in task 0.\nHost 7 is interested in task 13.\nHost 2 is interested in task 1.\nHost 3 is interested in task 13.\nHost 6 is interested in task 3.\nHost 5 is interested in task 13.\nHost 3 is interested in task 6.\nHost 4 is interested in task 6.\nHost 5 is interested in task 5.\nHost 5 is interested in task 11.\nHost 12 is interested in task 3.\nHost 2 is interested in task 9.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 7 is interested in task 4.\nHost 2 is interested in task 8.\nHost 5 is interested in task 8.\nHost 5 is interested in task 9.\nHost 2 is interested in task 13.\nHost 10 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph93", "image": "data/matching/graph_visual/hard/graph93.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 1.\nHost 6 is interested in task 9.\nHost 3 is interested in task 9.\nHost 1 is interested in task 0.\nHost 6 is interested in task 2.\nHost 8 is interested in task 0.\nHost 1 is interested in task 8.\nHost 3 is interested in task 5.\nHost 3 is interested in task 7.\nHost 6 is interested in task 6.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3.\nHost 2 is interested in task 6.\nHost 9 is interested in task 9.\nHost 1 is interested in task 6.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 8 is interested in task 4.\nHost 7 is interested in task 7.\nHost 3 is interested in task 0.\nHost 6 is interested in task 3.\nHost 4 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 2.\nHost 3 is interested in task 6.\nHost 8 is interested in task 9.\nHost 6 is interested in task 7.\nHost 5 is interested in task 7.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 3 is interested in task 1.\nHost 6 is interested in task 4.\nHost 0 is interested in task 0.\nHost 7 is interested in task 3.\nHost 0 is interested in task 8.\nHost 4 is interested in task 9.\nHost 5 is interested in task 9.\nHost 8 is interested in task 7.\nHost 8 is interested in task 8.\nHost 8 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 4.\nHost 9 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph697", "image": "data/matching/graph_visual/hard/graph697.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 12 is interested in task 9.\nHost 3 is interested in task 3.\nHost 8 is interested in task 10.\nHost 7 is interested in task 6.\nHost 2 is interested in task 0.\nHost 6 is interested in task 10.\nHost 8 is interested in task 1.\nHost 2 is interested in task 8.\nHost 4 is interested in task 10.\nHost 1 is interested in task 10.\nHost 1 is interested in task 1.\nHost 7 is interested in task 11.\nHost 11 is interested in task 11.\nHost 12 is interested in task 8.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4.\nHost 11 is interested in task 7.\nHost 3 is interested in task 7.\nHost 1 is interested in task 0.\nHost 4 is interested in task 11.\nHost 10 is interested in task 10.\nHost 10 is interested in task 8.\nHost 7 is interested in task 5.\nHost 8 is interested in task 7.\nHost 8 is interested in task 6.\nHost 12 is interested in task 5.\nHost 0 is interested in task 6.\nHost 3 is interested in task 11.\nHost 8 is interested in task 11.\nHost 4 is interested in task 5.\nHost 3 is interested in task 10.\nHost 12 is interested in task 0.\nHost 8 is interested in task 3.\nHost 7 is interested in task 9.\nHost 2 is interested in task 9.\nHost 0 is interested in task 5.\nHost 12 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 0.\nHost 7 is interested in task 3.\nHost 4 is interested in task 9.\nHost 6 is interested in task 0.\nHost 0 is interested in task 2.\nHost 12 is interested in task 1.\nHost 2 is interested in task 4.\nHost 2 is interested in task 3.\nHost 10 is interested in task 3.\nHost 2 is interested in task 5.\nHost 3 is interested in task 9.\nHost 3 is interested in task 8.\nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 11 is interested in task 4.\nHost 2 is interested in task 1.\nHost 0 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph641", "image": "data/matching/graph_visual/hard/graph641.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 8 is interested in task 3.\nHost 11 is interested in task 9.\nHost 8 is interested in task 2.\nHost 6 is interested in task 8.\nHost 5 is interested in task 4.\nHost 8 is interested in task 6.\nHost 1 is interested in task 5.\nHost 6 is interested in task 9.\nHost 9 is interested in task 1.\nHost 10 is interested in task 2.\nHost 7 is interested in task 3.\nHost 2 is interested in task 4.\nHost 9 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 6.\nHost 11 is interested in task 3.\nHost 6 is interested in task 7.\nHost 9 is interested in task 6.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 0 is interested in task 3.\nHost 10 is interested in task 1.\nHost 2 is interested in task 1.\nHost 10 is interested in task 5.\nHost 1 is interested in task 9.\nHost 0 is interested in task 2.\nHost 2 is interested in task 8.\nHost 11 is interested in task 6.\nHost 3 is interested in task 8.\nHost 4 is interested in task 6.\nHost 11 is interested in task 8.\nHost 4 is interested in task 8.\nHost 1 is interested in task 6.\nHost 1 is interested in task 8.\nHost 0 is interested in task 7.\nHost 11 is interested in task 7.\nHost 4 is interested in task 9.\nHost 11 is interested in task 2.\nHost 4 is interested in task 1.\nHost 10 is interested in task 3.\nHost 10 is interested in task 0.\nHost 2 is interested in task 5.\nHost 12 is interested in task 3.\nHost 7 is interested in task 1.\nHost 8 is interested in task 1.\nHost 2 is interested in task 6.\nHost 9 is interested in task 4.\nHost 5 is interested in task 3.\nHost 7 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph967", "image": "data/matching/graph_visual/hard/graph967.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 6.\nHost 0 is interested in task 2.\nHost 11 is interested in task 12.\nHost 1 is interested in task 12.\nHost 11 is interested in task 14.\nHost 4 is interested in task 1.\nHost 8 is interested in task 0.\nHost 13 is interested in task 12.\nHost 5 is interested in task 0.\nHost 8 is interested in task 10.\nHost 4 is interested in task 3.\nHost 8 is interested in task 8.\nHost 8 is interested in task 13.\nHost 7 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 4.\nHost 11 is interested in task 5.\nHost 0 is interested in task 6.\nHost 7 is interested in task 13.\nHost 5 is interested in task 12.\nHost 11 is interested in task 2.\nHost 11 is interested in task 8.\nHost 11 is interested in task 0.\nHost 8 is interested in task 2.\nHost 3 is interested in task 6.\nHost 13 is interested in task 13.\nHost 3 is interested in task 5.\nHost 5 is interested in task 5.\nHost 1 is interested in task 10.\nHost 3 is interested in task 3.\nHost 9 is interested in task 0.\nHost 12 is interested in task 9.\nHost 11 is interested in task 3.\nHost 5 is interested in task 3.\nHost 9 is interested in task 4.\nHost 3 is interested in task 14.\nHost 9 is interested in task 2.\nHost 0 is interested in task 14.\nHost 5 is interested in task 14.\nHost 10 is interested in task 4.\nHost 12 is interested in task 2.\nHost 0 is interested in task 3.\nHost 13 is interested in task 0.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 8 is interested in task 5.\nHost 12 is interested in task 1.\nHost 9 is interested in task 5.\nHost 1 is interested in task 4.\nHost 12 is interested in task 11.\nHost 0 is interested in task 9.\nHost 13 is interested in task 9.\nHost 8 is interested in task 12.\nHost 13 is interested in task 3.\nHost 13 is interested in task 14.\nHost 2 is interested in task 3.\nHost 12 is interested in task 7.\nHost 4 is interested in task 8.\nHost 12 is interested in task 0.\nHost 7 is interested in task 10.\nHost 4 is interested in task 14.\nHost 10 is interested in task 7.\nHost 4 is interested in task 5.\nHost 12 is interested in task 5.\nHost 1 is interested in task 13.\nHost 4 is interested in task 6.\nHost 11 is interested in task 9.\nHost 13 is interested in task 5.\nHost 0 is interested in task 0.\nHost 13 is interested in task 11.\nHost 0 is interested in task 4.\nHost 6 is interested in task 0.\nHost 10 is interested in task 5.\nHost 12 is interested in task 3.\nHost 12 is interested in task 8.\nHost 12 is interested in task 13.\nHost 2 is interested in task 5.\nHost 2 is interested in task 14.\nHost 2 is interested in task 13.\nHost 2 is interested in task 2.\nHost 4 is interested in task 10.\nHost 11 is interested in task 7.\nHost 1 is interested in task 1.\nHost 0 is interested in task 10.\nHost 2 is interested in task 11.\nHost 3 is interested in task 1.\nHost 6 is interested in task 12.\nHost 10 is interested in task 2.\nHost 3 is interested in task 0.\nHost 11 is interested in task 11.\nHost 6 is interested in task 7.\nHost 11 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph358", "image": "data/matching/graph_visual/hard/graph358.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 9.\nHost 3 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 9.\nHost 7 is interested in task 11.\nHost 5 is interested in task 1.\nHost 9 is interested in task 9.\nHost 9 is interested in task 4.\nHost 0 is interested in task 9.\nHost 8 is interested in task 5.\nHost 9 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 4.\nHost 9 is interested in task 2.\nHost 10 is interested in task 4.\nHost 7 is interested in task 9.\nHost 6 is interested in task 3.\nHost 2 is interested in task 7.\nHost 0 is interested in task 1.\nHost 8 is interested in task 7.\nHost 2 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0.\nHost 0 is interested in task 10.\nHost 2 is interested in task 10.\nHost 8 is interested in task 4.\nHost 1 is interested in task 10.\nHost 4 is interested in task 0.\nHost 0 is interested in task 7.\nHost 8 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 10.\nHost 3 is interested in task 10.\nHost 7 is interested in task 3.\nHost 10 is interested in task 8.\nHost 6 is interested in task 1.\nHost 2 is interested in task 8.\nHost 3 is interested in task 8.\nHost 3 is interested in task 6.\nHost 4 is interested in task 6.\nHost 4 is interested in task 10.\nHost 7 is interested in task 4.\nHost 10 is interested in task 1.\nHost 5 is interested in task 5.\nHost 2 is interested in task 2.\nHost 6 is interested in task 7.\nHost 0 is interested in task 11.\nHost 10 is interested in task 2.\nHost 9 is interested in task 5.\nHost 6 is interested in task 6.\nHost 1 is interested in task 8.\nHost 7 is interested in task 8.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph887", "image": "data/matching/graph_visual/hard/graph887.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 9.\nHost 9 is interested in task 5.\nHost 13 is interested in task 10.\nHost 5 is interested in task 3.\nHost 3 is interested in task 11.\nHost 9 is interested in task 2.\nHost 1 is interested in task 4.\nHost 8 is interested in task 1.\nHost 7 is interested in task 7.\nHost 9 is interested in task 9.\nHost 10 is interested in task 11.\nHost 12 is interested in task 6.\nHost 7 is interested in task 2.\nHost 0 is interested in task 9.\nHost 3 is interested in task 8.\nHost 9 is interested in task 10.\nHost 13 is interested in task 0.\nHost 8 is interested in task 8.\nHost 4 is interested in task 11.\nHost 10 is interested in task 10.\nHost 6 is interested in task 11.\nHost 8 is interested in task 7.\nHost 5 is interested in task 7.\nHost 13 is interested in task 1.\nHost 8 is interested in task 5.\nHost 6 is interested in task 9.\nHost 10 is interested in task 5.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 4 is interested in task 8.\nHost 10 is interested in task 9.\nHost 11 is interested in task 11.\nHost 7 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 5.\nHost 4 is interested in task 2.\nHost 1 is interested in task 11.\nHost 3 is interested in task 5.\nHost 12 is interested in task 2.\nHost 12 is interested in task 3.\nHost 7 is interested in task 11.\nHost 11 is interested in task 5.\nHost 10 is interested in task 3.\nHost 7 is interested in task 9.\nHost 7 is interested in task 6.\nHost 0 is interested in task 2.\nHost 2 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 4.\nHost 9 is interested in task 3.\nHost 5 is interested in task 9.\nHost 0 is interested in task 5.\nHost 8 is interested in task 11.\nHost 1 is interested in task 10.\nHost 10 is interested in task 2.\nHost 5 is interested in task 10.\nHost 5 is interested in task 6.\nHost 12 is interested in task 0.\nHost 3 is interested in task 1.\nHost 11 is interested in task 4.\nHost 10 is interested in task 1.\nHost 0 is interested in task 10.\nHost 6 is interested in task 6.\nHost 12 is interested in task 5.\nHost 8 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 1.\nHost 1 is interested in task 1.\nHost 5 is interested in task 5.\nHost 1 is interested in task 9.\nHost 10 is interested in task 7.\nHost 2 is interested in task 9.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph476", "image": "data/matching/graph_visual/hard/graph476.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 11 is interested in task 0.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 5.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 0 is interested in task 9.\nHost 7 is interested in task 6.\nHost 1 is interested in task 6.\nHost 7 is interested in task 7.\nHost 3 is interested in task 3.\nHost 11 is interested in task 6.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 8 is interested in task 9.\nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 9 is interested in task 0.\nHost 2 is interested in task 4.\nHost 5 is interested in task 1.\nHost 9 is interested in task 8.\nHost 7 is interested in task 0.\nHost 2 is interested in task 1.\nHost 2 is interested in task 9.\nHost 6 is interested in task 1.\nHost 11 is interested in task 3.\nHost 1 is interested in task 2.\nHost 7 is interested in task 9.\nHost 2 is interested in task 7.\nHost 3 is interested in task 2.\nHost 6 is interested in task 9.\nHost 3 is interested in task 7.\nHost 4 is interested in task 5.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 0 is interested in task 6.\nHost 6 is interested in task 6.\nHost 2 is interested in task 5.\nHost 8 is interested in task 7.\nHost 4 is interested in task 4.\nHost 5 is interested in task 9.\nHost 6 is interested in task 8.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 11 is interested in task 4.\nHost 10 is interested in task 5.\nHost 10 is interested in task 4.\nHost 8 is interested in task 8.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph127", "image": "data/matching/graph_visual/hard/graph127.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 5 is interested in task 1.\nHost 8 is interested in task 9.\nHost 2 is interested in task 7.\nHost 5 is interested in task 6.\nHost 3 is interested in task 3.\nHost 7 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 2.\nHost 8 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 2.\nHost 1 is interested in task 0.\nHost 9 is interested in task 9.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 10.\nHost 4 is interested in task 3.\nHost 7 is interested in task 8.\nHost 9 is interested in task 7.\nHost 5 is interested in task 10.\nHost 9 is interested in task 8.\nHost 5 is interested in task 2.\nHost 2 is interested in task 0.\nHost 6 is interested in task 8.\nHost 0 is interested in task 4.\nHost 1 is interested in task 9.\nHost 0 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 4 is interested in task 8.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 6 is interested in task 7.\nHost 2 is interested in task 5.\nHost 6 is interested in task 1.\nHost 1 is interested in task 6.\nHost 1 is interested in task 10.\nHost 5 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph835", "image": "data/matching/graph_visual/hard/graph835.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 12.\nHost 12 is interested in task 3.\nHost 4 is interested in task 10.\nHost 10 is interested in task 5.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 12 is interested in task 6.\nHost 11 is interested in task 6.\nHost 12 is interested in task 9.\nHost 5 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 12 is interested in task 1.\nHost 4 is interested in task 11.\nHost 10 is interested in task 8.\nHost 6 is interested in task 14.\nHost 4 is interested in task 15.\nHost 7 is interested in task 2.\nHost 7 is interested in task 15.\nHost 11 is interested in task 4.\nHost 7 is interested in task 6.\nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 3 is interested in task 6.\nHost 9 is interested in task 8.\nHost 7 is interested in task 9.\nHost 6 is interested in task 9.\nHost 12 is interested in task 2.\nHost 4 is interested in task 0.\nHost 3 is interested in task 8.\nHost 4 is interested in task 9.\nHost 11 is interested in task 5.\nHost 3 is interested in task 2.\nHost 10 is interested in task 14.\nHost 9 is interested in task 7.\nHost 3 is interested in task 13.\nHost 11 is interested in task 9.\nHost 10 is interested in task 7.\nHost 12 is interested in task 13.\nHost 5 is interested in task 12.\nHost 4 is interested in task 3.\nHost 2 is interested in task 3.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 2 is interested in task 6.\nHost 6 is interested in task 5.\nHost 3 is interested in task 12.\nHost 0 is interested in task 3.\nHost 4 is interested in task 2.\nHost 4 is interested in task 14.\nHost 7 is interested in task 11.\nHost 9 is interested in task 3.\nHost 0 is interested in task 14.\nHost 12 is interested in task 8.\nHost 9 is interested in task 5.\nHost 5 is interested in task 3.\nHost 6 is interested in task 8.\nHost 3 is interested in task 3.\nHost 6 is interested in task 3.\nHost 3 is interested in task 7.\nHost 2 is interested in task 10.\nHost 10 is interested in task 1.\nHost 5 is interested in task 14.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 3 is interested in task 14.\nHost 8 is interested in task 1.\nHost 2 is interested in task 5.\nHost 6 is interested in task 2.\nHost 5 is interested in task 6.\nHost 2 is interested in task 0.\nHost 12 is interested in task 14.\nHost 1 is interested in task 2.\nHost 5 is interested in task 11.\nHost 10 is interested in task 12.\nHost 7 is interested in task 4.\nHost 8 is interested in task 9.\nHost 6 is interested in task 1.\nHost 5 is interested in task 2.\nHost 12 is interested in task 0.\nHost 4 is interested in task 13.\nHost 0 is interested in task 11.\nHost 1 is interested in task 7.\nHost 5 is interested in task 15.\nHost 4 is interested in task 5.\nHost 6 is interested in task 6.\nHost 2 is interested in task 15.\nHost 8 is interested in task 14.\nHost 10 is interested in task 3.\nHost 7 is interested in task 5.\nHost 9 is interested in task 2.\nHost 10 is interested in task 13.\nHost 10 is interested in task 2.\nHost 2 is interested in task 4.\nHost 12 is interested in task 10.\nHost 0 is interested in task 7.\nHost 10 is interested in task 11.\nHost 6 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph215", "image": "data/matching/graph_visual/hard/graph215.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 3 is interested in task 2.\nHost 1 is interested in task 5.\nHost 4 is interested in task 1.\nHost 3 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 9 is interested in task 5.\nHost 9 is interested in task 6.\nHost 10 is interested in task 3.\nHost 1 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 2.\nHost 8 is interested in task 6.\nHost 9 is interested in task 7.\nHost 1 is interested in task 0.\nHost 5 is interested in task 5.\nHost 8 is interested in task 0.\nHost 8 is interested in task 1.\nHost 10 is interested in task 6.\nHost 9 is interested in task 2.\nHost 5 is interested in task 1.\nHost 4 is interested in task 0.\nHost 3 is interested in task 5.\nHost 10 is interested in task 4.\nHost 6 is interested in task 7.\nHost 5 is interested in task 0.\nHost 9 is interested in task 4.\nHost 0 is interested in task 2.\nHost 2 is interested in task 6.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 6 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 9 is interested in task 0.\nHost 4 is interested in task 4.\nHost 2 is interested in task 3.\nHost 4 is interested in task 7.\nHost 10 is interested in task 5.\nHost 1 is interested in task 4.\nHost 2 is interested in task 2.\nHost 6 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 1.\nHost 10 is interested in task 2.\nHost 10 is interested in task 7.\nHost 3 is interested in task 3.\nHost 10 is interested in task 0.\nHost 1 is interested in task 1.\nHost 8 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1120", "image": "data/matching/graph_visual/hard/graph1120.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 9.\nHost 3 is interested in task 13.\nHost 11 is interested in task 7.\nHost 4 is interested in task 11.\nHost 1 is interested in task 7.\nHost 12 is interested in task 10.\nHost 2 is interested in task 12.\nHost 6 is interested in task 10.\nHost 10 is interested in task 5.\nHost 11 is interested in task 5.\nHost 12 is interested in task 0.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 12.\nHost 6 is interested in task 12.\nHost 4 is interested in task 9.\nHost 3 is interested in task 11.\nHost 14 is interested in task 5.\nHost 11 is interested in task 11.\nHost 12 is interested in task 12.\nHost 7 is interested in task 12.\nHost 0 is interested in task 4.\nHost 10 is interested in task 7.\nHost 11 is interested in task 2.\nHost 1 is interested in task 9.\nHost 10 is interested in task 3.\nHost 9 is interested in task 2.\nHost 9 is interested in task 7.\nHost 6 is interested in task 0.\nHost 12 is interested in task 5.\nHost 11 is interested in task 13.\nHost 5 is interested in task 2.\nHost 0 is interested in task 5.\nHost 0 is interested in task 9.\nHost 5 is interested in task 13.\nHost 13 is interested in task 6.\nHost 4 is interested in task 3.\nHost 4 is interested in task 2.\nHost 7 is interested in task 1.\nHost 4 is interested in task 13.\nHost 10 is interested in task 0.\nHost 10 is interested in task 10.\nHost 4 is interested in task 10.\nHost 11 is interested in task 8.\nHost 0 is interested in task 11.\nHost 13 is interested in task 13.\nHost 13 is interested in task 1.\nHost 2 is interested in task 4.\nHost 14 is interested in task 8.\nHost 5 is interested in task 10.\nHost 11 is interested in task 1.\nHost 12 is interested in task 13.\nHost 14 is interested in task 1.\nHost 0 is interested in task 8.\nHost 11 is interested in task 3.\nHost 12 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 12.\nHost 8 is interested in task 1.\nHost 10 is interested in task 8.\nHost 4 is interested in task 4.\nHost 2 is interested in task 1.\nHost 9 is interested in task 13.\nHost 11 is interested in task 0.\nHost 14 is interested in task 0.\nHost 8 is interested in task 13.\nHost 8 is interested in task 8.\nHost 13 is interested in task 3.\nHost 12 is interested in task 4.\nHost 11 is interested in task 4.\nHost 13 is interested in task 4.\nHost 8 is interested in task 12.\nHost 6 is interested in task 8.\nHost 9 is interested in task 5.\nHost 5 is interested in task 12.\nHost 5 is interested in task 4.\nHost 5 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1141", "image": "data/matching/graph_visual/hard/graph1141.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 5.\nHost 6 is interested in task 0.\nHost 11 is interested in task 2.\nHost 7 is interested in task 7.\nHost 13 is interested in task 10.\nHost 12 is interested in task 13.\nHost 5 is interested in task 7.\nHost 12 is interested in task 6.\nHost 3 is interested in task 10.\nHost 13 is interested in task 2.\nHost 9 is interested in task 3.\nHost 0 is interested in task 2.\nHost 8 is interested in task 7.\nHost 11 is interested in task 12.\nHost 11 is interested in task 11.\nHost 0 is interested in task 1.\nHost 10 is interested in task 8.\nHost 5 is interested in task 1.\nHost 4 is interested in task 3.\nHost 8 is interested in task 11.\nHost 8 is interested in task 14.\nHost 0 is interested in task 8.\nHost 9 is interested in task 12.\nHost 11 is interested in task 1.\nHost 5 is interested in task 13.\nHost 0 is interested in task 0.\nHost 10 is interested in task 2.\nHost 7 is interested in task 4.\nHost 1 is interested in task 10.\nHost 11 is interested in task 5.\nHost 8 is interested in task 6.\nHost 5 is interested in task 5.\nHost 11 is interested in task 7.\nHost 4 is interested in task 13.\nHost 11 is interested in task 10.\nHost 12 is interested in task 2.\nHost 12 is interested in task 1.\nHost 7 is interested in task 11.\nHost 11 is interested in task 13.\nHost 6 is interested in task 5.\nHost 8 is interested in task 12.\nHost 7 is interested in task 8.\nHost 12 is interested in task 10.\nHost 11 is interested in task 14.\nHost 6 is interested in task 8.\nHost 9 is interested in task 11.\nHost 14 is interested in task 8.\nHost 12 is interested in task 0.\nHost 11 is interested in task 6.\nHost 6 is interested in task 2.\nHost 13 is interested in task 9.\nHost 14 is interested in task 5.\nHost 13 is interested in task 13.\nHost 1 is interested in task 13.\nHost 8 is interested in task 10.\nHost 2 is interested in task 7.\nHost 0 is interested in task 11.\nHost 5 is interested in task 12.\nHost 0 is interested in task 3.\nHost 5 is interested in task 9.\nHost 11 is interested in task 8.\nHost 3 is interested in task 11.\nHost 5 is interested in task 6.\nHost 14 is interested in task 11.\nHost 9 is interested in task 1.\nHost 3 is interested in task 2.\nHost 10 is interested in task 5.\nHost 7 is interested in task 9.\nHost 11 is interested in task 0.\nHost 8 is interested in task 9.\nHost 9 is interested in task 10.\nHost 3 is interested in task 12.\nHost 7 is interested in task 2.\nHost 8 is interested in task 13.\nHost 3 is interested in task 1.\nHost 4 is interested in task 5.\nHost 0 is interested in task 9.\nHost 2 is interested in task 14.\nHost 8 is interested in task 5.\nHost 8 is interested in task 4.\nHost 6 is interested in task 13.\nHost 7 is interested in task 1.\nHost 2 is interested in task 4.\nHost 2 is interested in task 10.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph672", "image": "data/matching/graph_visual/hard/graph672.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 3 is interested in task 6.\nHost 9 is interested in task 9.\nHost 4 is interested in task 6.\nHost 0 is interested in task 2.\nHost 5 is interested in task 3.\nHost 12 is interested in task 2.\nHost 2 is interested in task 8.\nHost 12 is interested in task 1.\nHost 3 is interested in task 8.\nHost 0 is interested in task 1.\nHost 8 is interested in task 5.\nHost 3 is interested in task 0.\nHost 1 is interested in task 2.\nHost 10 is interested in task 3.\nHost 0 is interested in task 6.\nHost 5 is interested in task 0.\nHost 10 is interested in task 4.\nHost 8 is interested in task 0.\nHost 5 is interested in task 7.\nHost 6 is interested in task 4.\nHost 5 is interested in task 8.\nHost 3 is interested in task 1.\nHost 9 is interested in task 10.\nHost 8 is interested in task 10.\nHost 0 is interested in task 10.\nHost 12 is interested in task 4.\nHost 5 is interested in task 2.\nHost 11 is interested in task 9.\nHost 0 is interested in task 0.\nHost 10 is interested in task 8.\nHost 10 is interested in task 2.\nHost 8 is interested in task 9.\nHost 0 is interested in task 7.\nHost 2 is interested in task 10.\nHost 7 is interested in task 3.\nHost 11 is interested in task 5.\nHost 11 is interested in task 6.\nHost 8 is interested in task 1.\nHost 10 is interested in task 1.\nHost 1 is interested in task 9.\nHost 7 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 6.\nHost 12 is interested in task 7.\nHost 7 is interested in task 6.\nHost 1 is interested in task 6.\nHost 8 is interested in task 3.\nHost 12 is interested in task 5.\nHost 0 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 8.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph112", "image": "data/matching/graph_visual/hard/graph112.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 1 is interested in task 7.\nHost 6 is interested in task 8.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 7 is interested in task 0.\nHost 6 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 6.\nHost 6 is interested in task 3.\nHost 5 is interested in task 4.\nHost 8 is interested in task 1.\nHost 7 is interested in task 5.\nHost 3 is interested in task 6.\nHost 3 is interested in task 8.\nHost 1 is interested in task 5.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 7.\nHost 8 is interested in task 3.\nHost 1 is interested in task 4.\nHost 4 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 1.\nHost 7 is interested in task 2.\nHost 6 is interested in task 4.\nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 9 is interested in task 1.\nHost 4 is interested in task 9.\nHost 8 is interested in task 2.\nHost 9 is interested in task 8.\nHost 3 is interested in task 3.\nHost 5 is interested in task 7.\nHost 9 is interested in task 2.\nHost 8 is interested in task 0.\nHost 2 is interested in task 5.\nHost 4 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph579", "image": "data/matching/graph_visual/hard/graph579.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 8.\nHost 9 is interested in task 10.\nHost 5 is interested in task 1.\nHost 6 is interested in task 6.\nHost 1 is interested in task 12.\nHost 5 is interested in task 11.\nHost 7 is interested in task 2.\nHost 0 is interested in task 6.\nHost 0 is interested in task 5.\nHost 8 is interested in task 10.\nHost 7 is interested in task 3.\nHost 7 is interested in task 9.\nHost 9 is interested in task 0.\nHost 0 is interested in task 2.\nHost 11 is interested in task 9.\nHost 4 is interested in task 9.\nHost 7 is interested in task 0.\nHost 7 is interested in task 11.\nHost 8 is interested in task 7.\nHost 6 is interested in task 7.\nHost 1 is interested in task 5.\nHost 10 is interested in task 4.\nHost 7 is interested in task 13.\nHost 11 is interested in task 2.\nHost 11 is interested in task 6.\nHost 9 is interested in task 2.\nHost 5 is interested in task 0.\nHost 5 is interested in task 13.\nHost 6 is interested in task 1.\nHost 3 is interested in task 0.\nHost 9 is interested in task 4.\nHost 4 is interested in task 7.\nHost 3 is interested in task 7.\nHost 6 is interested in task 4.\nHost 9 is interested in task 5.\nHost 7 is interested in task 4.\nHost 1 is interested in task 9.\nHost 11 is interested in task 11.\nHost 1 is interested in task 11.\nHost 5 is interested in task 6.\nHost 3 is interested in task 8.\nHost 0 is interested in task 9.\nHost 0 is interested in task 11.\nHost 9 is interested in task 12.\nHost 4 is interested in task 13.\nHost 4 is interested in task 1.\nHost 4 is interested in task 10.\nHost 6 is interested in task 9.\nHost 1 is interested in task 10.\nHost 4 is interested in task 12.\nHost 0 is interested in task 1.\nHost 1 is interested in task 6.\nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 1 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 3.\nHost 1 is interested in task 8.\nHost 3 is interested in task 11.\nHost 3 is interested in task 10.\nHost 7 is interested in task 1.\nHost 9 is interested in task 11.\nHost 0 is interested in task 7.\nHost 6 is interested in task 3.\nHost 8 is interested in task 6.\nHost 7 is interested in task 12.\nHost 10 is interested in task 12.\nHost 9 is interested in task 3.\nHost 1 is interested in task 13.\nHost 1 is interested in task 2.\nHost 3 is interested in task 2.\nHost 2 is interested in task 13.\nHost 6 is interested in task 5.\nHost 9 is interested in task 13.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph630", "image": "data/matching/graph_visual/hard/graph630.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 8.\nHost 7 is interested in task 5.\nHost 6 is interested in task 5.\nHost 4 is interested in task 8.\nHost 12 is interested in task 9.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 7.\nHost 10 is interested in task 3.\nHost 3 is interested in task 4.\nHost 1 is interested in task 5.\nHost 8 is interested in task 2.\nHost 3 is interested in task 9.\nHost 11 is interested in task 1.\nHost 1 is interested in task 7.\nHost 4 is interested in task 6.\nHost 8 is interested in task 9.\nHost 11 is interested in task 7.\nHost 8 is interested in task 8.\nHost 0 is interested in task 8.\nHost 12 is interested in task 5.\nHost 6 is interested in task 2.\nHost 8 is interested in task 1.\nHost 1 is interested in task 6.\nHost 6 is interested in task 3.\nHost 7 is interested in task 2.\nHost 5 is interested in task 7.\nHost 6 is interested in task 6.\nHost 12 is interested in task 2.\nHost 2 is interested in task 2.\nHost 1 is interested in task 1.\nHost 11 is interested in task 2.\nHost 5 is interested in task 6.\nHost 2 is interested in task 6.\nHost 11 is interested in task 5.\nHost 0 is interested in task 6.\nHost 7 is interested in task 1.\nHost 9 is interested in task 6.\nHost 5 is interested in task 8.\nHost 8 is interested in task 3.\nHost 6 is interested in task 0.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph157", "image": "data/matching/graph_visual/hard/graph157.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 7.\nHost 9 is interested in task 6.\nHost 0 is interested in task 8.\nHost 8 is interested in task 2.\nHost 8 is interested in task 8.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 1 is interested in task 9.\nHost 8 is interested in task 1.\nHost 2 is interested in task 2.\nHost 8 is interested in task 9.\nHost 0 is interested in task 3.\nHost 9 is interested in task 2.\nHost 8 is interested in task 4.\nHost 7 is interested in task 4.\nHost 7 is interested in task 9.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 2 is interested in task 5.\nHost 9 is interested in task 0.\nHost 7 is interested in task 11.\nHost 7 is interested in task 0.\nHost 4 is interested in task 0.\nHost 6 is interested in task 10.\nHost 5 is interested in task 3.\nHost 7 is interested in task 10.\nHost 0 is interested in task 11.\nHost 3 is interested in task 5.\nHost 8 is interested in task 11.\nHost 5 is interested in task 11.\nHost 5 is interested in task 6.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 8 is interested in task 7.\nHost 2 is interested in task 0.\nHost 7 is interested in task 1.\nHost 0 is interested in task 5.\nHost 6 is interested in task 2.\nHost 6 is interested in task 11.\nHost 2 is interested in task 3.\nHost 1 is interested in task 1.\nHost 7 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 9.\nHost 5 is interested in task 9.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph299", "image": "data/matching/graph_visual/hard/graph299.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 7 is interested in task 8.\nHost 7 is interested in task 6.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 7 is interested in task 7.\nHost 9 is interested in task 4.\nHost 6 is interested in task 9.\nHost 10 is interested in task 7.\nHost 0 is interested in task 8.\nHost 3 is interested in task 8.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 10 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 9.\nHost 1 is interested in task 5.\nHost 5 is interested in task 4.\nHost 0 is interested in task 7.\nHost 9 is interested in task 5.\nHost 4 is interested in task 1.\nHost 8 is interested in task 3.\nHost 3 is interested in task 3.\nHost 10 is interested in task 4.\nHost 7 is interested in task 1.\nHost 9 is interested in task 9.\nHost 6 is interested in task 4.\nHost 2 is interested in task 2.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 9 is interested in task 2.\nHost 10 is interested in task 8.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 8 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph351", "image": "data/matching/graph_visual/hard/graph351.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 9 is interested in task 6.\nHost 9 is interested in task 9.\nHost 6 is interested in task 9.\nHost 8 is interested in task 9.\nHost 5 is interested in task 0.\nHost 2 is interested in task 1.\nHost 1 is interested in task 3.\nHost 5 is interested in task 10.\nHost 1 is interested in task 1.\nHost 5 is interested in task 1.\nHost 0 is interested in task 3.\nHost 6 is interested in task 5.\nHost 0 is interested in task 6.\nHost 5 is interested in task 9.\nHost 0 is interested in task 9.\nHost 2 is interested in task 7.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 2 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 10.\nHost 0 is interested in task 8.\nHost 4 is interested in task 9.\nHost 7 is interested in task 1.\nHost 9 is interested in task 0.\nHost 2 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 8.\nHost 9 is interested in task 8.\nHost 4 is interested in task 0.\nHost 0 is interested in task 4.\nHost 8 is interested in task 2.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 7.\nHost 2 is interested in task 9.\nHost 10 is interested in task 4.\nHost 1 is interested in task 2.\nHost 7 is interested in task 4.\nHost 0 is interested in task 11.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 3 is interested in task 4.\nHost 1 is interested in task 9.\nHost 8 is interested in task 8.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph644", "image": "data/matching/graph_visual/hard/graph644.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 9.\nHost 5 is interested in task 9.\nHost 6 is interested in task 4.\nHost 4 is interested in task 0.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 0 is interested in task 9.\nHost 11 is interested in task 1.\nHost 8 is interested in task 1.\nHost 5 is interested in task 4.\nHost 1 is interested in task 7.\nHost 11 is interested in task 0.\nHost 3 is interested in task 9.\nHost 4 is interested in task 2.\nHost 4 is interested in task 8.\nHost 5 is interested in task 2.\nHost 6 is interested in task 7.\nHost 9 is interested in task 1.\nHost 10 is interested in task 0.\nHost 8 is interested in task 0.\nHost 6 is interested in task 3.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 12 is interested in task 6.\nHost 7 is interested in task 7.\nHost 4 is interested in task 4.\nHost 5 is interested in task 6.\nHost 1 is interested in task 0.\nHost 10 is interested in task 9.\nHost 2 is interested in task 9.\nHost 12 is interested in task 3.\nHost 4 is interested in task 6.\nHost 10 is interested in task 6.\nHost 0 is interested in task 2.\nHost 9 is interested in task 4.\nHost 3 is interested in task 7.\nHost 10 is interested in task 2.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 0 is interested in task 4.\nHost 10 is interested in task 3.\nHost 5 is interested in task 1.\nHost 4 is interested in task 9.\nHost 6 is interested in task 8.\nHost 2 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 8.\nHost 0 is interested in task 1.\nHost 8 is interested in task 7.\nHost 8 is interested in task 5.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph14", "image": "data/matching/graph_visual/hard/graph14.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 0.\nHost 9 is interested in task 3.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 8 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 5.\nHost 8 is interested in task 0.\nHost 9 is interested in task 2.\nHost 6 is interested in task 2.\nHost 5 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 5.\nHost 3 is interested in task 6.\nHost 8 is interested in task 5.\nHost 7 is interested in task 3.\nHost 6 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 2.\nHost 8 is interested in task 1.\nHost 4 is interested in task 5.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 4.\nHost 5 is interested in task 3.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 7 is interested in task 0.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph863", "image": "data/matching/graph_visual/hard/graph863.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 13 is interested in task 9.\nHost 11 is interested in task 8.\nHost 6 is interested in task 2.\nHost 5 is interested in task 10.\nHost 10 is interested in task 10.\nHost 2 is interested in task 3.\nHost 5 is interested in task 0.\nHost 3 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 3.\nHost 12 is interested in task 9.\nHost 9 is interested in task 2.\nHost 5 is interested in task 6.\nHost 10 is interested in task 0.\nHost 8 is interested in task 7.\nHost 0 is interested in task 7.\nHost 5 is interested in task 5.\nHost 1 is interested in task 1.\nHost 13 is interested in task 8.\nHost 11 is interested in task 6.\nHost 1 is interested in task 2.\nHost 7 is interested in task 3.\nHost 7 is interested in task 10.\nHost 11 is interested in task 7.\nHost 0 is interested in task 3.\nHost 10 is interested in task 9.\nHost 8 is interested in task 4.\nHost 11 is interested in task 10.\nHost 12 is interested in task 0.\nHost 9 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 4 is interested in task 4.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 5 is interested in task 7.\nHost 6 is interested in task 10.\nHost 12 is interested in task 2.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 12 is interested in task 10.\nHost 3 is interested in task 8.\nHost 9 is interested in task 1.\nHost 7 is interested in task 8.\nHost 0 is interested in task 9.\nHost 13 is interested in task 4.\nHost 1 is interested in task 9.\nHost 4 is interested in task 10.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 5 is interested in task 8.\nHost 2 is interested in task 10.\nHost 11 is interested in task 1.\nHost 9 is interested in task 7.\nHost 11 is interested in task 9.\nHost 13 is interested in task 7.\nHost 10 is interested in task 7.\nHost 5 is interested in task 1.\nHost 2 is interested in task 4.\nHost 12 is interested in task 8.\nHost 8 is interested in task 9.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 13 is interested in task 5.\nHost 5 is interested in task 4.\nHost 2 is interested in task 7.\nHost 13 is interested in task 6.\nHost 11 is interested in task 5.\nHost 4 is interested in task 3.\nHost 10 is interested in task 2.\nHost 5 is interested in task 9.\nHost 0 is interested in task 10.\nHost 0 is interested in task 5.\nHost 13 is interested in task 1.\nHost 2 is interested in task 8.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph860", "image": "data/matching/graph_visual/hard/graph860.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 6 is interested in task 10.\nHost 10 is interested in task 4.\nHost 7 is interested in task 1.\nHost 10 is interested in task 7.\nHost 4 is interested in task 7.\nHost 11 is interested in task 1.\nHost 2 is interested in task 1.\nHost 10 is interested in task 9.\nHost 4 is interested in task 0.\nHost 1 is interested in task 9.\nHost 0 is interested in task 2.\nHost 12 is interested in task 10.\nHost 1 is interested in task 5.\nHost 3 is interested in task 5.\nHost 4 is interested in task 2.\nHost 9 is interested in task 2.\nHost 13 is interested in task 4.\nHost 7 is interested in task 8.\nHost 2 is interested in task 2.\nHost 13 is interested in task 6.\nHost 9 is interested in task 4.\nHost 10 is interested in task 3.\nHost 0 is interested in task 0.\nHost 13 is interested in task 10.\nHost 1 is interested in task 3.\nHost 8 is interested in task 2.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 4 is interested in task 10.\nHost 4 is interested in task 1.\nHost 13 is interested in task 5.\nHost 6 is interested in task 3.\nHost 5 is interested in task 9.\nHost 7 is interested in task 10.\nHost 7 is interested in task 9.\nHost 1 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 1.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 7 is interested in task 7.\nHost 12 is interested in task 6.\nHost 4 is interested in task 9.\nHost 3 is interested in task 10.\nHost 2 is interested in task 0.\nHost 12 is interested in task 1.\nHost 1 is interested in task 8.\nHost 5 is interested in task 7.\nHost 6 is interested in task 6.\nHost 6 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 6.\nHost 10 is interested in task 10.\nHost 11 is interested in task 9.\nHost 7 is interested in task 4.\nHost 2 is interested in task 7.\nHost 11 is interested in task 0.\nHost 4 is interested in task 6.\nHost 0 is interested in task 9.\nHost 13 is interested in task 7.\nHost 13 is interested in task 2.\nHost 2 is interested in task 5.\nHost 1 is interested in task 1.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1258", "image": "data/matching/graph_visual/hard/graph1258.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 5.\nHost 7 is interested in task 2.\nHost 7 is interested in task 1.\nHost 13 is interested in task 5.\nHost 6 is interested in task 10.\nHost 3 is interested in task 10.\nHost 1 is interested in task 7.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 7 is interested in task 7.\nHost 8 is interested in task 2.\nHost 10 is interested in task 13.\nHost 6 is interested in task 8.\nHost 8 is interested in task 4.\nHost 3 is interested in task 15.\nHost 0 is interested in task 10.\nHost 8 is interested in task 15.\nHost 7 is interested in task 4.\nHost 8 is interested in task 1.\nHost 5 is interested in task 13.\nHost 1 is interested in task 2.\nHost 14 is interested in task 1.\nHost 0 is interested in task 0.\nHost 8 is interested in task 16.\nHost 1 is interested in task 1.\nHost 9 is interested in task 11.\nHost 3 is interested in task 13.\nHost 8 is interested in task 7.\nHost 10 is interested in task 12.\nHost 8 is interested in task 11.\nHost 1 is interested in task 9.\nHost 8 is interested in task 9.\nHost 12 is interested in task 11.\nHost 2 is interested in task 6.\nHost 7 is interested in task 17.\nHost 0 is interested in task 3.\nHost 7 is interested in task 9.\nHost 7 is interested in task 10.\nHost 1 is interested in task 4.\nHost 9 is interested in task 14.\nHost 1 is interested in task 3.\nHost 7 is interested in task 11.\nHost 10 is interested in task 3.\nHost 14 is interested in task 11.\nHost 12 is interested in task 7.\nHost 6 is interested in task 14.\nHost 9 is interested in task 4.\nHost 8 is interested in task 8.\nHost 10 is interested in task 7.\nHost 1 is interested in task 11.\nHost 8 is interested in task 6.\nHost 0 is interested in task 2.\nHost 0 is interested in task 8.\nHost 9 is interested in task 10.\nHost 7 is interested in task 12.\nHost 2 is interested in task 17.\nHost 7 is interested in task 6.\nHost 13 is interested in task 7.\nHost 8 is interested in task 5.\nHost 12 is interested in task 2.\nHost 5 is interested in task 2.\nHost 14 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 9 is interested in task 9.\nHost 9 is interested in task 2.\nHost 0 is interested in task 17.\nHost 14 is interested in task 2.\nHost 8 is interested in task 12.\nHost 7 is interested in task 14.\nHost 7 is interested in task 3.\nHost 5 is interested in task 3.\nHost 11 is interested in task 1.\nHost 11 is interested in task 13.\nHost 1 is interested in task 8.\nHost 3 is interested in task 17.\nHost 2 is interested in task 9.\nHost 8 is interested in task 14.\nHost 0 is interested in task 15.\nHost 13 is interested in task 4.\nHost 11 is interested in task 7.\nHost 14 is interested in task 3.\nHost 14 is interested in task 4.\nHost 12 is interested in task 6.\nHost 9 is interested in task 1.\nHost 2 is interested in task 15.\nHost 9 is interested in task 6.\nHost 5 is interested in task 16.\nHost 9 is interested in task 13.\nHost 1 is interested in task 15.\nHost 3 is interested in task 3.\nHost 5 is interested in task 9.\nHost 5 is interested in task 7.\nHost 0 is interested in task 6.\nHost 3 is interested in task 12.\nHost 6 is interested in task 13.\nHost 9 is interested in task 3.\nHost 6 is interested in task 11.\nHost 14 is interested in task 6.\nHost 8 is interested in task 13.\nHost 10 is interested in task 6.\nHost 14 is interested in task 12.\nHost 9 is interested in task 15.\nHost 2 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph853", "image": "data/matching/graph_visual/hard/graph853.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 2.\nHost 9 is interested in task 2.\nHost 7 is interested in task 5.\nHost 10 is interested in task 6.\nHost 5 is interested in task 10.\nHost 3 is interested in task 8.\nHost 6 is interested in task 9.\nHost 7 is interested in task 8.\nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 8 is interested in task 10.\nHost 4 is interested in task 2.\nHost 9 is interested in task 3.\nHost 1 is interested in task 5.\nHost 6 is interested in task 8.\nHost 6 is interested in task 2.\nHost 7 is interested in task 9.\nHost 3 is interested in task 10.\nHost 0 is interested in task 3.\nHost 1 is interested in task 8.\nHost 10 is interested in task 1.\nHost 5 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 4.\nHost 5 is interested in task 5.\nHost 0 is interested in task 7.\nHost 4 is interested in task 0.\nHost 7 is interested in task 1.\nHost 11 is interested in task 10.\nHost 12 is interested in task 1.\nHost 6 is interested in task 6.\nHost 1 is interested in task 4.\nHost 1 is interested in task 10.\nHost 10 is interested in task 8.\nHost 3 is interested in task 4.\nHost 11 is interested in task 6.\nHost 5 is interested in task 0.\nHost 12 is interested in task 4.\nHost 12 is interested in task 8.\nHost 11 is interested in task 3.\nHost 9 is interested in task 1.\nHost 4 is interested in task 7.\nHost 0 is interested in task 2.\nHost 12 is interested in task 9.\nHost 1 is interested in task 0.\nHost 0 is interested in task 5.\nHost 2 is interested in task 2.\nHost 13 is interested in task 1.\nHost 3 is interested in task 7.\nHost 12 is interested in task 6.\nHost 7 is interested in task 6.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 12 is interested in task 7.\nHost 7 is interested in task 0.\nHost 1 is interested in task 1.\nHost 11 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph275", "image": "data/matching/graph_visual/hard/graph275.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 4.\nHost 6 is interested in task 4.\nHost 10 is interested in task 0.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 6 is interested in task 0.\nHost 6 is interested in task 2.\nHost 8 is interested in task 9.\nHost 6 is interested in task 9.\nHost 8 is interested in task 8.\nHost 8 is interested in task 0.\nHost 3 is interested in task 9.\nHost 9 is interested in task 6.\nHost 1 is interested in task 2.\nHost 8 is interested in task 2.\nHost 6 is interested in task 3.\nHost 7 is interested in task 6.\nHost 6 is interested in task 5.\nHost 9 is interested in task 5.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 2 is interested in task 1.\nHost 3 is interested in task 7.\nHost 9 is interested in task 0.\nHost 3 is interested in task 6.\nHost 4 is interested in task 7.\nHost 0 is interested in task 1.\nHost 1 is interested in task 3.\nHost 8 is interested in task 7.\nHost 4 is interested in task 2.\nHost 6 is interested in task 7.\nHost 4 is interested in task 6.\nHost 7 is interested in task 8.\nHost 5 is interested in task 7.\nHost 9 is interested in task 4.\nHost 0 is interested in task 9.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 2 is interested in task 8.\nHost 7 is interested in task 2.\nHost 1 is interested in task 4.\nHost 5 is interested in task 8.\nHost 4 is interested in task 0.\nHost 0 is interested in task 5.\nHost 7 is interested in task 7.\nHost 2 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph626", "image": "data/matching/graph_visual/hard/graph626.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 8 is interested in task 11.\nHost 9 is interested in task 13.\nHost 4 is interested in task 9.\nHost 2 is interested in task 13.\nHost 1 is interested in task 14.\nHost 2 is interested in task 0.\nHost 6 is interested in task 6.\nHost 7 is interested in task 9.\nHost 1 is interested in task 1.\nHost 3 is interested in task 5.\nHost 10 is interested in task 8.\nHost 2 is interested in task 14.\nHost 9 is interested in task 2.\nHost 2 is interested in task 12.\nHost 3 is interested in task 4.\nHost 5 is interested in task 3.\nHost 10 is interested in task 13.\nHost 7 is interested in task 11.\nHost 8 is interested in task 12.\nHost 6 is interested in task 1.\nHost 0 is interested in task 12.\nHost 4 is interested in task 12.\nHost 2 is interested in task 8.\nHost 11 is interested in task 0.\nHost 7 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 9.\nHost 1 is interested in task 9.\nHost 10 is interested in task 10.\nHost 5 is interested in task 14.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 3 is interested in task 13.\nHost 10 is interested in task 6.\nHost 7 is interested in task 0.\nHost 5 is interested in task 9.\nHost 0 is interested in task 0.\nHost 6 is interested in task 12.\nHost 3 is interested in task 7.\nHost 5 is interested in task 11.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 10 is interested in task 12.\nHost 7 is interested in task 7.\nHost 0 is interested in task 11.\nHost 2 is interested in task 6.\nHost 4 is interested in task 4.\nHost 6 is interested in task 13.\nHost 8 is interested in task 7.\nHost 6 is interested in task 2.\nHost 2 is interested in task 11.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 8 is interested in task 1.\nHost 1 is interested in task 7.\nHost 8 is interested in task 14.\nHost 0 is interested in task 9.\nHost 9 is interested in task 1.\nHost 0 is interested in task 1.\nHost 9 is interested in task 6.\nHost 2 is interested in task 2.\nHost 10 is interested in task 1.\nHost 8 is interested in task 3.\nHost 3 is interested in task 3.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 10 is interested in task 9.\nHost 2 is interested in task 7.\nHost 8 is interested in task 2.\nHost 11 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph559", "image": "data/matching/graph_visual/hard/graph559.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 7.\nHost 2 is interested in task 5.\nHost 10 is interested in task 6.\nHost 2 is interested in task 11.\nHost 1 is interested in task 0.\nHost 6 is interested in task 9.\nHost 7 is interested in task 12.\nHost 6 is interested in task 2.\nHost 10 is interested in task 2.\nHost 1 is interested in task 5.\nHost 4 is interested in task 12.\nHost 6 is interested in task 5.\nHost 4 is interested in task 7.\nHost 3 is interested in task 12.\nHost 4 is interested in task 8.\nHost 6 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 12.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 12.\nHost 7 is interested in task 8.\nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 7 is interested in task 10.\nHost 6 is interested in task 11.\nHost 10 is interested in task 0.\nHost 11 is interested in task 3.\nHost 8 is interested in task 3.\nHost 6 is interested in task 8.\nHost 10 is interested in task 1.\nHost 7 is interested in task 11.\nHost 7 is interested in task 3.\nHost 1 is interested in task 10.\nHost 3 is interested in task 10.\nHost 5 is interested in task 2.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 4 is interested in task 2.\nHost 5 is interested in task 10.\nHost 9 is interested in task 6.\nHost 7 is interested in task 5.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph336", "image": "data/matching/graph_visual/hard/graph336.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 11.\nHost 4 is interested in task 4.\nHost 5 is interested in task 9.\nHost 6 is interested in task 4.\nHost 9 is interested in task 3.\nHost 2 is interested in task 6.\nHost 2 is interested in task 11.\nHost 2 is interested in task 2.\nHost 0 is interested in task 2.\nHost 6 is interested in task 7.\nHost 0 is interested in task 11.\nHost 1 is interested in task 0.\nHost 9 is interested in task 9.\nHost 0 is interested in task 6.\nHost 7 is interested in task 5.\nHost 7 is interested in task 11.\nHost 0 is interested in task 3.\nHost 6 is interested in task 1.\nHost 9 is interested in task 11.\nHost 10 is interested in task 10.\nHost 3 is interested in task 3.\nHost 8 is interested in task 7.\nHost 5 is interested in task 11.\nHost 8 is interested in task 4.\nHost 8 is interested in task 6.\nHost 0 is interested in task 4.\nHost 4 is interested in task 11.\nHost 0 is interested in task 9.\nHost 8 is interested in task 1.\nHost 1 is interested in task 8.\nHost 4 is interested in task 8.\nHost 7 is interested in task 10.\nHost 10 is interested in task 1.\nHost 10 is interested in task 4.\nHost 10 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 10.\nHost 9 is interested in task 5.\nHost 6 is interested in task 8.\nHost 2 is interested in task 0.\nHost 4 is interested in task 6.\nHost 1 is interested in task 5.\nHost 6 is interested in task 6.\nHost 9 is interested in task 0.\nHost 3 is interested in task 1.\nHost 8 is interested in task 10.\nHost 6 is interested in task 2.\nHost 8 is interested in task 9.\nHost 7 is interested in task 9.\nHost 2 is interested in task 7.\nHost 10 is interested in task 5.\nHost 0 is interested in task 1.\nHost 0 is interested in task 8.\nHost 3 is interested in task 9.\nHost 6 is interested in task 10.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 7 is interested in task 0.\nHost 10 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph33", "image": "data/matching/graph_visual/hard/graph33.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 0.\nHost 8 is interested in task 4.\nHost 0 is interested in task 1.\nHost 8 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 5.\nHost 8 is interested in task 0.\nHost 8 is interested in task 6.\nHost 3 is interested in task 1.\nHost 8 is interested in task 5.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 7 is interested in task 4.\nHost 4 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 1.\nHost 1 is interested in task 7.\nHost 3 is interested in task 7.\nHost 2 is interested in task 4.\nHost 8 is interested in task 2.\nHost 7 is interested in task 5.\nHost 8 is interested in task 1.\nHost 7 is interested in task 1.\nHost 2 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 5.\nHost 7 is interested in task 6.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 9 is interested in task 6.\nHost 8 is interested in task 7.\nHost 6 is interested in task 3.\nHost 0 is interested in task 4.\nHost 6 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 1.\nHost 0 is interested in task 6.\nHost 5 is interested in task 5.\nHost 2 is interested in task 6.\nHost 6 is interested in task 0.\nHost 9 is interested in task 7.\nHost 4 is interested in task 7.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph822", "image": "data/matching/graph_visual/hard/graph822.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 3 is interested in task 12.\nHost 6 is interested in task 5.\nHost 10 is interested in task 13.\nHost 2 is interested in task 3.\nHost 4 is interested in task 5.\nHost 9 is interested in task 10.\nHost 11 is interested in task 8.\nHost 4 is interested in task 8.\nHost 9 is interested in task 15.\nHost 2 is interested in task 0.\nHost 10 is interested in task 1.\nHost 9 is interested in task 4.\nHost 5 is interested in task 12.\nHost 9 is interested in task 3.\nHost 10 is interested in task 10.\nHost 1 is interested in task 6.\nHost 9 is interested in task 9.\nHost 1 is interested in task 15.\nHost 8 is interested in task 14.\nHost 5 is interested in task 10.\nHost 4 is interested in task 12.\nHost 1 is interested in task 0.\nHost 8 is interested in task 2.\nHost 6 is interested in task 3.\nHost 9 is interested in task 2.\nHost 4 is interested in task 7.\nHost 11 is interested in task 3.\nHost 4 is interested in task 13.\nHost 8 is interested in task 11.\nHost 8 is interested in task 15.\nHost 2 is interested in task 15.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 9 is interested in task 1.\nHost 1 is interested in task 8.\nHost 2 is interested in task 8.\nHost 7 is interested in task 8.\nHost 5 is interested in task 11.\nHost 9 is interested in task 11.\nHost 1 is interested in task 4.\nHost 7 is interested in task 11.\nHost 8 is interested in task 10.\nHost 4 is interested in task 3.\nHost 9 is interested in task 12.\nHost 5 is interested in task 4.\nHost 5 is interested in task 13.\nHost 10 is interested in task 4.\nHost 11 is interested in task 5.\nHost 12 is interested in task 13.\nHost 8 is interested in task 12.\nHost 12 is interested in task 7.\nHost 3 is interested in task 9.\nHost 1 is interested in task 13.\nHost 4 is interested in task 2.\nHost 12 is interested in task 8.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 3 is interested in task 13.\nHost 12 is interested in task 1.\nHost 11 is interested in task 6.\nHost 1 is interested in task 11.\nHost 5 is interested in task 15.\nHost 6 is interested in task 2.\nHost 12 is interested in task 9.\nHost 4 is interested in task 0.\nHost 11 is interested in task 7.\nHost 6 is interested in task 4.\nHost 6 is interested in task 13.\nHost 10 is interested in task 6.\nHost 0 is interested in task 2.\nHost 12 is interested in task 0.\nHost 5 is interested in task 5.\nHost 11 is interested in task 11.\nHost 2 is interested in task 13.\nHost 9 is interested in task 5.\nHost 10 is interested in task 7.\nHost 3 is interested in task 1.\nHost 12 is interested in task 3.\nHost 6 is interested in task 12.\nHost 1 is interested in task 14.\nHost 12 is interested in task 2.\nHost 3 is interested in task 3.\nHost 8 is interested in task 6.\nHost 2 is interested in task 1.\nHost 3 is interested in task 7.\nHost 11 is interested in task 15.\nHost 9 is interested in task 0.\nHost 4 is interested in task 15.\nHost 5 is interested in task 9.\nHost 9 is interested in task 6.\nHost 3 is interested in task 2.\nHost 11 is interested in task 14.\nHost 7 is interested in task 1.\nHost 10 is interested in task 12.\nHost 8 is interested in task 0.\nHost 3 is interested in task 4.\nHost 3 is interested in task 11.\nHost 12 is interested in task 15.\nHost 0 is interested in task 7.\nHost 6 is interested in task 11.\nHost 11 is interested in task 1.\nHost 10 is interested in task 8.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph454", "image": "data/matching/graph_visual/hard/graph454.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 0 is interested in task 7.\nHost 10 is interested in task 8.\nHost 10 is interested in task 5.\nHost 2 is interested in task 3.\nHost 5 is interested in task 8.\nHost 9 is interested in task 8.\nHost 6 is interested in task 9.\nHost 7 is interested in task 5.\nHost 9 is interested in task 7.\nHost 4 is interested in task 2.\nHost 0 is interested in task 8.\nHost 11 is interested in task 8.\nHost 8 is interested in task 7.\nHost 2 is interested in task 4.\nHost 6 is interested in task 2.\nHost 6 is interested in task 8.\nHost 3 is interested in task 0.\nHost 2 is interested in task 7.\nHost 4 is interested in task 0.\nHost 2 is interested in task 2.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 10 is interested in task 1.\nHost 0 is interested in task 5.\nHost 9 is interested in task 4.\nHost 0 is interested in task 1.\nHost 10 is interested in task 0.\nHost 5 is interested in task 6.\nHost 9 is interested in task 3.\nHost 0 is interested in task 6.\nHost 9 is interested in task 6.\nHost 1 is interested in task 4.\nHost 4 is interested in task 8.\nHost 10 is interested in task 2.\nHost 10 is interested in task 4.\nHost 2 is interested in task 1.\nHost 11 is interested in task 7.\nHost 6 is interested in task 5.\nHost 1 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 6.\nHost 11 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 5.\nHost 2 is interested in task 8.\nHost 9 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 2 is interested in task 5.\nHost 10 is interested in task 3.\nHost 11 is interested in task 1.\nHost 1 is interested in task 9.\nHost 9 is interested in task 5.\nHost 11 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1064", "image": "data/matching/graph_visual/hard/graph1064.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 13 is interested in task 7.\nHost 11 is interested in task 11.\nHost 6 is interested in task 11.\nHost 5 is interested in task 4.\nHost 12 is interested in task 0.\nHost 8 is interested in task 2.\nHost 11 is interested in task 3.\nHost 5 is interested in task 0.\nHost 3 is interested in task 11.\nHost 9 is interested in task 8.\nHost 10 is interested in task 10.\nHost 1 is interested in task 3.\nHost 4 is interested in task 3.\nHost 2 is interested in task 7.\nHost 1 is interested in task 0.\nHost 14 is interested in task 11.\nHost 7 is interested in task 10.\nHost 11 is interested in task 4.\nHost 11 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 6 is interested in task 1.\nHost 2 is interested in task 11.\nHost 7 is interested in task 7.\nHost 8 is interested in task 3.\nHost 4 is interested in task 11.\nHost 14 is interested in task 0.\nHost 12 is interested in task 10.\nHost 5 is interested in task 2.\nHost 13 is interested in task 0.\nHost 12 is interested in task 5.\nHost 13 is interested in task 9.\nHost 4 is interested in task 2.\nHost 10 is interested in task 2.\nHost 14 is interested in task 5.\nHost 5 is interested in task 11.\nHost 13 is interested in task 4.\nHost 7 is interested in task 4.\nHost 12 is interested in task 4.\nHost 14 is interested in task 10.\nHost 0 is interested in task 2.\nHost 8 is interested in task 5.\nHost 0 is interested in task 3.\nHost 9 is interested in task 4.\nHost 2 is interested in task 5.\nHost 10 is interested in task 9.\nHost 5 is interested in task 9.\nHost 4 is interested in task 6.\nHost 3 is interested in task 10.\nHost 11 is interested in task 10.\nHost 2 is interested in task 9.\nHost 11 is interested in task 6.\nHost 14 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 13 is interested in task 1.\nHost 14 is interested in task 9.\nHost 5 is interested in task 1.\nHost 1 is interested in task 10.\nHost 5 is interested in task 3.\nHost 7 is interested in task 5.\nHost 14 is interested in task 8.\nHost 12 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph320", "image": "data/matching/graph_visual/hard/graph320.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 5 is interested in task 5.\nHost 5 is interested in task 1.\nHost 8 is interested in task 7.\nHost 10 is interested in task 8.\nHost 1 is interested in task 5.\nHost 7 is interested in task 4.\nHost 3 is interested in task 8.\nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 2 is interested in task 9.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 1.\nHost 8 is interested in task 5.\nHost 8 is interested in task 9.\nHost 6 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 9.\nHost 5 is interested in task 8.\nHost 1 is interested in task 0.\nHost 1 is interested in task 8.\nHost 8 is interested in task 10.\nHost 10 is interested in task 10.\nHost 2 is interested in task 8.\nHost 8 is interested in task 1.\nHost 7 is interested in task 2.\nHost 3 is interested in task 7.\nHost 7 is interested in task 10.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 0 is interested in task 7.\nHost 0 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 7.\nHost 5 is interested in task 0.\nHost 9 is interested in task 5.\nHost 6 is interested in task 7.\nHost 7 is interested in task 6.\nHost 6 is interested in task 4.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 10 is interested in task 3.\nHost 2 is interested in task 5.\nHost 6 is interested in task 5.\nHost 6 is interested in task 6.\nHost 7 is interested in task 5.\nHost 8 is interested in task 3.\nHost 3 is interested in task 9.\nHost 8 is interested in task 8.\nHost 5 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph821", "image": "data/matching/graph_visual/hard/graph821.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 7 is interested in task 6.\nHost 0 is interested in task 10.\nHost 12 is interested in task 7.\nHost 10 is interested in task 9.\nHost 6 is interested in task 7.\nHost 0 is interested in task 6.\nHost 6 is interested in task 2.\nHost 8 is interested in task 5.\nHost 1 is interested in task 4.\nHost 4 is interested in task 10.\nHost 0 is interested in task 5.\nHost 4 is interested in task 2.\nHost 0 is interested in task 4.\nHost 6 is interested in task 1.\nHost 3 is interested in task 1.\nHost 4 is interested in task 13.\nHost 10 is interested in task 5.\nHost 6 is interested in task 11.\nHost 11 is interested in task 0.\nHost 0 is interested in task 15.\nHost 2 is interested in task 12.\nHost 12 is interested in task 12.\nHost 12 is interested in task 5.\nHost 10 is interested in task 3.\nHost 2 is interested in task 13.\nHost 7 is interested in task 9.\nHost 12 is interested in task 8.\nHost 2 is interested in task 1.\nHost 2 is interested in task 6.\nHost 9 is interested in task 10.\nHost 10 is interested in task 10.\nHost 12 is interested in task 2.\nHost 11 is interested in task 4.\nHost 7 is interested in task 3.\nHost 10 is interested in task 2.\nHost 2 is interested in task 11.\nHost 9 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 11.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 8 is interested in task 10.\nHost 0 is interested in task 7.\nHost 12 is interested in task 6.\nHost 8 is interested in task 8.\nHost 8 is interested in task 12.\nHost 1 is interested in task 10.\nHost 10 is interested in task 6.\nHost 1 is interested in task 13.\nHost 4 is interested in task 4.\nHost 4 is interested in task 5.\nHost 2 is interested in task 0.\nHost 2 is interested in task 14.\nHost 12 is interested in task 1.\nHost 8 is interested in task 9.\nHost 3 is interested in task 11.\nHost 5 is interested in task 7.\nHost 3 is interested in task 14.\nHost 12 is interested in task 13.\nHost 8 is interested in task 11.\nHost 10 is interested in task 14.\nHost 2 is interested in task 4.\nHost 12 is interested in task 9.\nHost 8 is interested in task 2.\nHost 10 is interested in task 0.\nHost 12 is interested in task 3.\nHost 1 is interested in task 7.\nHost 8 is interested in task 13.\nHost 1 is interested in task 9.\nHost 4 is interested in task 12.\nHost 6 is interested in task 9.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 3 is interested in task 7.\nHost 11 is interested in task 8.\nHost 1 is interested in task 12.\nHost 2 is interested in task 7.\nHost 5 is interested in task 8.\nHost 0 is interested in task 14.\nHost 5 is interested in task 13.\nHost 8 is interested in task 3.\nHost 12 is interested in task 15.\nHost 0 is interested in task 3.\nHost 11 is interested in task 5.\nHost 1 is interested in task 1.\nHost 4 is interested in task 11.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1118", "image": "data/matching/graph_visual/hard/graph1118.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 13.\nHost 9 is interested in task 11.\nHost 6 is interested in task 3.\nHost 4 is interested in task 2.\nHost 8 is interested in task 2.\nHost 8 is interested in task 4.\nHost 8 is interested in task 11.\nHost 11 is interested in task 12.\nHost 5 is interested in task 12.\nHost 10 is interested in task 3.\nHost 12 is interested in task 8.\nHost 5 is interested in task 0.\nHost 6 is interested in task 5.\nHost 13 is interested in task 9.\nHost 10 is interested in task 0.\nHost 14 is interested in task 6.\nHost 12 is interested in task 9.\nHost 4 is interested in task 5.\nHost 7 is interested in task 7.\nHost 1 is interested in task 12.\nHost 3 is interested in task 11.\nHost 13 is interested in task 12.\nHost 3 is interested in task 6.\nHost 10 is interested in task 13.\nHost 12 is interested in task 1.\nHost 1 is interested in task 6.\nHost 3 is interested in task 12.\nHost 3 is interested in task 8.\nHost 11 is interested in task 10.\nHost 3 is interested in task 13.\nHost 14 is interested in task 9.\nHost 3 is interested in task 5.\nHost 2 is interested in task 7.\nHost 1 is interested in task 0.\nHost 0 is interested in task 2.\nHost 9 is interested in task 1.\nHost 1 is interested in task 3.\nHost 4 is interested in task 0.\nHost 10 is interested in task 7.\nHost 8 is interested in task 6.\nHost 6 is interested in task 7.\nHost 6 is interested in task 2.\nHost 1 is interested in task 5.\nHost 7 is interested in task 12.\nHost 9 is interested in task 7.\nHost 12 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 6.\nHost 1 is interested in task 4.\nHost 0 is interested in task 1.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 6 is interested in task 9.\nHost 12 is interested in task 10.\nHost 11 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 4.\nHost 8 is interested in task 7.\nHost 2 is interested in task 8.\nHost 12 is interested in task 11.\nHost 2 is interested in task 5.\nHost 9 is interested in task 0.\nHost 8 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 13.\nHost 2 is interested in task 12.\nHost 1 is interested in task 13.\nHost 0 is interested in task 3.\nHost 0 is interested in task 4.\nHost 7 is interested in task 10.\nHost 5 is interested in task 1.\nHost 10 is interested in task 5.\nHost 10 is interested in task 10.\nHost 14 is interested in task 0.\nHost 5 is interested in task 10.\nHost 7 is interested in task 8.\nHost 5 is interested in task 11.\nHost 9 is interested in task 4.\nHost 7 is interested in task 13.\nHost 13 is interested in task 5.\nHost 10 is interested in task 6.\nHost 1 is interested in task 7.\nHost 14 is interested in task 12.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 13.\nHost 12 is interested in task 2.\nHost 10 is interested in task 1.\nHost 10 is interested in task 2.\nHost 10 is interested in task 12.\nHost 6 is interested in task 4.\nHost 2 is interested in task 11.\nHost 12 is interested in task 13.\nHost 6 is interested in task 10.\nHost 6 is interested in task 1.\nHost 7 is interested in task 11.\nHost 9 is interested in task 8.\nHost 5 is interested in task 7.\nHost 9 is interested in task 3.\nHost 11 is interested in task 4.\nHost 8 is interested in task 12.\nHost 6 is interested in task 0.\nHost 5 is interested in task 3.\nHost 14 is interested in task 2.\nHost 12 is interested in task 7.\nHost 0 is interested in task 9.\nHost 0 is interested in task 6.\nHost 7 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph385", "image": "data/matching/graph_visual/hard/graph385.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 10.\nHost 4 is interested in task 2.\nHost 7 is interested in task 10.\nHost 6 is interested in task 6.\nHost 10 is interested in task 5.\nHost 8 is interested in task 7.\nHost 1 is interested in task 10.\nHost 2 is interested in task 1.\nHost 10 is interested in task 3.\nHost 3 is interested in task 3.\nHost 7 is interested in task 4.\nHost 7 is interested in task 0.\nHost 1 is interested in task 12.\nHost 7 is interested in task 3.\nHost 8 is interested in task 6.\nHost 4 is interested in task 9.\nHost 2 is interested in task 12.\nHost 4 is interested in task 10.\nHost 3 is interested in task 9.\nHost 10 is interested in task 6.\nHost 0 is interested in task 7.\nHost 7 is interested in task 1.\nHost 6 is interested in task 7.\nHost 1 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 7.\nHost 2 is interested in task 0.\nHost 4 is interested in task 12.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 10 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 8.\nHost 3 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 9 is interested in task 7.\nHost 9 is interested in task 12.\nHost 3 is interested in task 8.\nHost 0 is interested in task 12.\nHost 1 is interested in task 6.\nHost 7 is interested in task 8.\nHost 2 is interested in task 10.\nHost 7 is interested in task 6.\nHost 8 is interested in task 4.\nHost 5 is interested in task 6.\nHost 10 is interested in task 12.\nHost 8 is interested in task 11.\nHost 1 is interested in task 9.\nHost 5 is interested in task 12.\nHost 4 is interested in task 4.\nHost 4 is interested in task 1.\nHost 6 is interested in task 3.\nHost 7 is interested in task 11.\nHost 6 is interested in task 9.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 1 is interested in task 0.\nHost 1 is interested in task 11.\nHost 10 is interested in task 0.\nHost 10 is interested in task 8.\nHost 8 is interested in task 5.\nHost 10 is interested in task 9.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph176", "image": "data/matching/graph_visual/hard/graph176.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 8.\nHost 1 is interested in task 4.\nHost 8 is interested in task 9.\nHost 3 is interested in task 8.\nHost 0 is interested in task 11.\nHost 0 is interested in task 10.\nHost 7 is interested in task 11.\nHost 2 is interested in task 11.\nHost 4 is interested in task 8.\nHost 1 is interested in task 9.\nHost 5 is interested in task 10.\nHost 8 is interested in task 2.\nHost 4 is interested in task 2.\nHost 3 is interested in task 11.\nHost 1 is interested in task 8.\nHost 9 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 11.\nHost 2 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 3.\nHost 6 is interested in task 0.\nHost 1 is interested in task 6.\nHost 0 is interested in task 8.\nHost 5 is interested in task 4.\nHost 6 is interested in task 8.\nHost 8 is interested in task 0.\nHost 3 is interested in task 10.\nHost 2 is interested in task 6.\nHost 1 is interested in task 11.\nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 6 is interested in task 7.\nHost 1 is interested in task 7.\nHost 2 is interested in task 8.\nHost 2 is interested in task 10.\nHost 6 is interested in task 4.\nHost 8 is interested in task 10.\nHost 3 is interested in task 3.\nHost 0 is interested in task 6.\nHost 8 is interested in task 4.\nHost 4 is interested in task 11.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 6 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 5.\nHost 3 is interested in task 6.\nHost 3 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 7.\nHost 9 is interested in task 6.\nHost 8 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph749", "image": "data/matching/graph_visual/hard/graph749.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 10 is interested in task 10.\nHost 11 is interested in task 2.\nHost 5 is interested in task 1.\nHost 10 is interested in task 0.\nHost 10 is interested in task 8.\nHost 7 is interested in task 3.\nHost 1 is interested in task 6.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 12 is interested in task 5.\nHost 1 is interested in task 10.\nHost 11 is interested in task 3.\nHost 12 is interested in task 10.\nHost 7 is interested in task 1.\nHost 11 is interested in task 6.\nHost 0 is interested in task 4.\nHost 3 is interested in task 0.\nHost 7 is interested in task 4.\nHost 3 is interested in task 9.\nHost 10 is interested in task 5.\nHost 11 is interested in task 1.\nHost 8 is interested in task 10.\nHost 7 is interested in task 6.\nHost 4 is interested in task 8.\nHost 8 is interested in task 1.\nHost 5 is interested in task 7.\nHost 12 is interested in task 0.\nHost 7 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 4 is interested in task 0.\nHost 8 is interested in task 3.\nHost 3 is interested in task 11.\nHost 0 is interested in task 12.\nHost 12 is interested in task 4.\nHost 10 is interested in task 11.\nHost 4 is interested in task 3.\nHost 11 is interested in task 4.\nHost 1 is interested in task 8.\nHost 7 is interested in task 9.\nHost 6 is interested in task 10.\nHost 11 is interested in task 9.\nHost 4 is interested in task 10.\nHost 0 is interested in task 5.\nHost 2 is interested in task 8.\nHost 4 is interested in task 9.\nHost 7 is interested in task 5.\nHost 2 is interested in task 5.\nHost 3 is interested in task 12.\nHost 4 is interested in task 5.\nHost 12 is interested in task 2.\nHost 12 is interested in task 8.\nHost 4 is interested in task 7.\nHost 10 is interested in task 7.\nHost 9 is interested in task 7.\nHost 5 is interested in task 8.\nHost 2 is interested in task 1.\nHost 8 is interested in task 2.\nHost 2 is interested in task 2.\nHost 2 is interested in task 12.\nHost 2 is interested in task 11.\nHost 4 is interested in task 12.\nHost 5 is interested in task 6.\nHost 2 is interested in task 7.\nHost 8 is interested in task 8.\nHost 6 is interested in task 12.\nHost 7 is interested in task 11.\nHost 10 is interested in task 1.\nHost 10 is interested in task 9.\nHost 3 is interested in task 7.\nHost 2 is interested in task 6.\nHost 2 is interested in task 10.\nHost 4 is interested in task 4.\nHost 8 is interested in task 5.\nHost 2 is interested in task 4.\nHost 7 is interested in task 0.\nHost 12 is interested in task 1.\nHost 11 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph937", "image": "data/matching/graph_visual/hard/graph937.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 13.\nHost 12 is interested in task 11.\nHost 4 is interested in task 10.\nHost 5 is interested in task 10.\nHost 2 is interested in task 12.\nHost 11 is interested in task 10.\nHost 0 is interested in task 6.\nHost 10 is interested in task 13.\nHost 2 is interested in task 7.\nHost 0 is interested in task 5.\nHost 11 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 11.\nHost 2 is interested in task 11.\nHost 2 is interested in task 8.\nHost 8 is interested in task 0.\nHost 10 is interested in task 2.\nHost 0 is interested in task 1.\nHost 11 is interested in task 13.\nHost 1 is interested in task 2.\nHost 13 is interested in task 8.\nHost 12 is interested in task 5.\nHost 9 is interested in task 5.\nHost 12 is interested in task 10.\nHost 3 is interested in task 8.\nHost 6 is interested in task 0.\nHost 12 is interested in task 3.\nHost 2 is interested in task 6.\nHost 10 is interested in task 12.\nHost 5 is interested in task 3.\nHost 1 is interested in task 5.\nHost 9 is interested in task 10.\nHost 4 is interested in task 7.\nHost 0 is interested in task 4.\nHost 10 is interested in task 5.\nHost 0 is interested in task 2.\nHost 10 is interested in task 4.\nHost 10 is interested in task 8.\nHost 6 is interested in task 8.\nHost 4 is interested in task 6.\nHost 8 is interested in task 7.\nHost 4 is interested in task 1.\nHost 9 is interested in task 12.\nHost 1 is interested in task 3.\nHost 3 is interested in task 11.\nHost 5 is interested in task 0.\nHost 13 is interested in task 2.\nHost 5 is interested in task 11.\nHost 8 is interested in task 10.\nHost 13 is interested in task 1.\nHost 9 is interested in task 6.\nHost 11 is interested in task 2.\nHost 13 is interested in task 5.\nHost 5 is interested in task 8.\nHost 13 is interested in task 4.\nHost 8 is interested in task 4.\nHost 9 is interested in task 13.\nHost 7 is interested in task 1.\nHost 12 is interested in task 6.\nHost 10 is interested in task 0.\nHost 3 is interested in task 2.\nHost 13 is interested in task 6.\nHost 13 is interested in task 0.\nHost 6 is interested in task 9.\nHost 9 is interested in task 9.\nHost 11 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 1.\nHost 1 is interested in task 0.\nHost 8 is interested in task 3.\nHost 0 is interested in task 13.\nHost 5 is interested in task 13.\nHost 1 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph680", "image": "data/matching/graph_visual/hard/graph680.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 9.\nHost 3 is interested in task 6.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 10 is interested in task 10.\nHost 3 is interested in task 10.\nHost 11 is interested in task 3.\nHost 10 is interested in task 7.\nHost 9 is interested in task 4.\nHost 7 is interested in task 9.\nHost 12 is interested in task 9.\nHost 7 is interested in task 8.\nHost 11 is interested in task 0.\nHost 2 is interested in task 8.\nHost 3 is interested in task 8.\nHost 11 is interested in task 4.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 10 is interested in task 3.\nHost 8 is interested in task 0.\nHost 8 is interested in task 7.\nHost 1 is interested in task 5.\nHost 8 is interested in task 10.\nHost 2 is interested in task 9.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 4 is interested in task 10.\nHost 12 is interested in task 2.\nHost 10 is interested in task 8.\nHost 4 is interested in task 7.\nHost 3 is interested in task 5.\nHost 0 is interested in task 8.\nHost 11 is interested in task 2.\nHost 5 is interested in task 3.\nHost 4 is interested in task 1.\nHost 9 is interested in task 9.\nHost 12 is interested in task 3.\nHost 4 is interested in task 2.\nHost 8 is interested in task 3.\nHost 9 is interested in task 10.\nHost 1 is interested in task 0.\nHost 8 is interested in task 1.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 4 is interested in task 4.\nHost 0 is interested in task 7.\nHost 2 is interested in task 0.\nHost 10 is interested in task 5.\nHost 3 is interested in task 0.\nHost 5 is interested in task 8.\nHost 2 is interested in task 1.\nHost 11 is interested in task 7.\nHost 7 is interested in task 3.\nHost 10 is interested in task 1.\nHost 12 is interested in task 7.\nHost 3 is interested in task 7.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 2 is interested in task 3.\nHost 7 is interested in task 0.\nHost 7 is interested in task 7.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph435", "image": "data/matching/graph_visual/hard/graph435.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 1.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 10 is interested in task 4.\nHost 11 is interested in task 2.\nHost 0 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 3.\nHost 10 is interested in task 3.\nHost 11 is interested in task 0.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 3.\nHost 8 is interested in task 3.\nHost 10 is interested in task 8.\nHost 2 is interested in task 5.\nHost 9 is interested in task 4.\nHost 6 is interested in task 1.\nHost 8 is interested in task 5.\nHost 8 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 11 is interested in task 6.\nHost 5 is interested in task 6.\nHost 1 is interested in task 6.\nHost 2 is interested in task 6.\nHost 10 is interested in task 1.\nHost 7 is interested in task 3.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 5.\nHost 9 is interested in task 8.\nHost 11 is interested in task 3.\nHost 7 is interested in task 2.\nHost 4 is interested in task 1.\nHost 0 is interested in task 1.\nHost 9 is interested in task 5.\nHost 5 is interested in task 2.\nHost 2 is interested in task 7.\nHost 8 is interested in task 6.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 6 is interested in task 2.\nHost 10 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph191", "image": "data/matching/graph_visual/hard/graph191.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 4 is interested in task 5.\nHost 8 is interested in task 11.\nHost 7 is interested in task 10.\nHost 4 is interested in task 0.\nHost 6 is interested in task 4.\nHost 1 is interested in task 8.\nHost 0 is interested in task 12.\nHost 0 is interested in task 7.\nHost 6 is interested in task 6.\nHost 1 is interested in task 11.\nHost 5 is interested in task 1.\nHost 2 is interested in task 7.\nHost 0 is interested in task 9.\nHost 5 is interested in task 10.\nHost 6 is interested in task 10.\nHost 7 is interested in task 9.\nHost 2 is interested in task 10.\nHost 2 is interested in task 8.\nHost 7 is interested in task 4.\nHost 1 is interested in task 2.\nHost 0 is interested in task 8.\nHost 0 is interested in task 5.\nHost 6 is interested in task 0.\nHost 8 is interested in task 7.\nHost 6 is interested in task 2.\nHost 3 is interested in task 4.\nHost 5 is interested in task 6.\nHost 1 is interested in task 0.\nHost 5 is interested in task 9.\nHost 0 is interested in task 2.\nHost 5 is interested in task 12.\nHost 2 is interested in task 9.\nHost 7 is interested in task 3.\nHost 9 is interested in task 8.\nHost 5 is interested in task 2.\nHost 3 is interested in task 10.\nHost 0 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 7.\nHost 5 is interested in task 11.\nHost 4 is interested in task 12.\nHost 6 is interested in task 12.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 5 is interested in task 7.\nHost 0 is interested in task 11.\nHost 7 is interested in task 0.\nHost 4 is interested in task 11.\nHost 0 is interested in task 4.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph362", "image": "data/matching/graph_visual/hard/graph362.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 8 is interested in task 12.\nHost 0 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 11.\nHost 9 is interested in task 8.\nHost 5 is interested in task 3.\nHost 10 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 8 is interested in task 4.\nHost 4 is interested in task 8.\nHost 0 is interested in task 5.\nHost 8 is interested in task 8.\nHost 1 is interested in task 6.\nHost 10 is interested in task 2.\nHost 10 is interested in task 10.\nHost 2 is interested in task 10.\nHost 9 is interested in task 10.\nHost 2 is interested in task 4.\nHost 7 is interested in task 10.\nHost 0 is interested in task 9.\nHost 10 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 5.\nHost 4 is interested in task 4.\nHost 3 is interested in task 11.\nHost 4 is interested in task 3.\nHost 7 is interested in task 3.\nHost 9 is interested in task 3.\nHost 10 is interested in task 8.\nHost 7 is interested in task 2.\nHost 3 is interested in task 2.\nHost 10 is interested in task 4.\nHost 1 is interested in task 9.\nHost 8 is interested in task 1.\nHost 7 is interested in task 0.\nHost 4 is interested in task 11.\nHost 5 is interested in task 1.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 8 is interested in task 9.\nHost 4 is interested in task 2.\nHost 5 is interested in task 7.\nHost 0 is interested in task 8.\nHost 10 is interested in task 11.\nHost 10 is interested in task 5.\nHost 8 is interested in task 6.\nHost 9 is interested in task 7.\nHost 7 is interested in task 1.\nHost 7 is interested in task 11.\nHost 4 is interested in task 12.\nHost 1 is interested in task 0.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 8.\nHost 1 is interested in task 5.\nHost 8 is interested in task 0.\nHost 9 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph486", "image": "data/matching/graph_visual/hard/graph486.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 1 is interested in task 8.\nHost 10 is interested in task 8.\nHost 2 is interested in task 5.\nHost 5 is interested in task 5.\nHost 2 is interested in task 2.\nHost 10 is interested in task 10.\nHost 2 is interested in task 4.\nHost 6 is interested in task 5.\nHost 8 is interested in task 5.\nHost 7 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 10.\nHost 11 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 4.\nHost 0 is interested in task 6.\nHost 9 is interested in task 10.\nHost 1 is interested in task 3.\nHost 7 is interested in task 1.\nHost 11 is interested in task 2.\nHost 10 is interested in task 9.\nHost 4 is interested in task 4.\nHost 10 is interested in task 5.\nHost 10 is interested in task 0.\nHost 7 is interested in task 7.\nHost 3 is interested in task 4.\nHost 6 is interested in task 8.\nHost 5 is interested in task 9.\nHost 11 is interested in task 4.\nHost 9 is interested in task 6.\nHost 10 is interested in task 1.\nHost 7 is interested in task 8.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 9 is interested in task 8.\nHost 10 is interested in task 4.\nHost 8 is interested in task 7.\nHost 6 is interested in task 7.\nHost 10 is interested in task 2.\nHost 0 is interested in task 7.\nHost 3 is interested in task 9.\nHost 6 is interested in task 3.\nHost 3 is interested in task 8.\nHost 9 is interested in task 3.\nHost 0 is interested in task 9.\nHost 9 is interested in task 5.\nHost 9 is interested in task 2.\nHost 1 is interested in task 9.\nHost 6 is interested in task 10.\nHost 0 is interested in task 8.\nHost 7 is interested in task 10.\nHost 6 is interested in task 4.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 5 is interested in task 6.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph161", "image": "data/matching/graph_visual/hard/graph161.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 0 is interested in task 4.\nHost 5 is interested in task 7.\nHost 4 is interested in task 6.\nHost 9 is interested in task 1.\nHost 3 is interested in task 8.\nHost 9 is interested in task 10.\nHost 9 is interested in task 9.\nHost 5 is interested in task 2.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 9 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 9 is interested in task 6.\nHost 2 is interested in task 5.\nHost 4 is interested in task 9.\nHost 1 is interested in task 10.\nHost 2 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 8.\nHost 1 is interested in task 8.\nHost 5 is interested in task 1.\nHost 2 is interested in task 10.\nHost 6 is interested in task 3.\nHost 5 is interested in task 11.\nHost 7 is interested in task 3.\nHost 1 is interested in task 2.\nHost 8 is interested in task 2.\nHost 9 is interested in task 0.\nHost 3 is interested in task 10.\nHost 9 is interested in task 2.\nHost 7 is interested in task 9.\nHost 2 is interested in task 4.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 7.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 1 is interested in task 9.\nHost 5 is interested in task 10.\nHost 3 is interested in task 1.\nHost 4 is interested in task 8.\nHost 5 is interested in task 0.\nHost 2 is interested in task 2.\nHost 5 is interested in task 3.\nHost 7 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 11.\nHost 2 is interested in task 7.\nHost 3 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1016", "image": "data/matching/graph_visual/hard/graph1016.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 6 is interested in task 12.\nHost 0 is interested in task 2.\nHost 0 is interested in task 9.\nHost 6 is interested in task 2.\nHost 2 is interested in task 14.\nHost 10 is interested in task 1.\nHost 8 is interested in task 13.\nHost 10 is interested in task 13.\nHost 5 is interested in task 9.\nHost 11 is interested in task 3.\nHost 0 is interested in task 12.\nHost 4 is interested in task 3.\nHost 6 is interested in task 8.\nHost 4 is interested in task 13.\nHost 0 is interested in task 5.\nHost 10 is interested in task 9.\nHost 2 is interested in task 13.\nHost 7 is interested in task 14.\nHost 7 is interested in task 5.\nHost 4 is interested in task 4.\nHost 9 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 9.\nHost 9 is interested in task 13.\nHost 10 is interested in task 0.\nHost 4 is interested in task 5.\nHost 11 is interested in task 10.\nHost 1 is interested in task 13.\nHost 11 is interested in task 1.\nHost 7 is interested in task 2.\nHost 8 is interested in task 4.\nHost 11 is interested in task 13.\nHost 0 is interested in task 4.\nHost 1 is interested in task 10.\nHost 13 is interested in task 9.\nHost 11 is interested in task 12.\nHost 9 is interested in task 14.\nHost 3 is interested in task 15.\nHost 5 is interested in task 10.\nHost 10 is interested in task 3.\nHost 6 is interested in task 4.\nHost 2 is interested in task 2.\nHost 10 is interested in task 14.\nHost 1 is interested in task 2.\nHost 5 is interested in task 13.\nHost 9 is interested in task 4.\nHost 10 is interested in task 6.\nHost 8 is interested in task 12.\nHost 2 is interested in task 4.\nHost 10 is interested in task 4.\nHost 0 is interested in task 11.\nHost 5 is interested in task 2.\nHost 8 is interested in task 0.\nHost 4 is interested in task 12.\nHost 1 is interested in task 1.\nHost 13 is interested in task 1.\nHost 10 is interested in task 12.\nHost 8 is interested in task 10.\nHost 8 is interested in task 5.\nHost 11 is interested in task 5.\nHost 5 is interested in task 0.\nHost 0 is interested in task 6.\nHost 10 is interested in task 7.\nHost 7 is interested in task 9.\nHost 13 is interested in task 3.\nHost 6 is interested in task 1.\nHost 6 is interested in task 3.\nHost 10 is interested in task 10.\nHost 2 is interested in task 8.\nHost 10 is interested in task 11.\nHost 8 is interested in task 15.\nHost 0 is interested in task 1.\nHost 2 is interested in task 9.\nHost 5 is interested in task 15.\nHost 8 is interested in task 9.\nHost 11 is interested in task 14.\nHost 4 is interested in task 9.\nHost 1 is interested in task 8.\nHost 12 is interested in task 4.\nHost 13 is interested in task 5.\nHost 2 is interested in task 15.\nHost 1 is interested in task 14.\nHost 2 is interested in task 0.\nHost 2 is interested in task 7.\nHost 0 is interested in task 8.\nHost 8 is interested in task 7.\nHost 11 is interested in task 6.\nHost 6 is interested in task 14.\nHost 3 is interested in task 0.\nHost 6 is interested in task 15. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph817", "image": "data/matching/graph_visual/hard/graph817.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 0 is interested in task 12.\nHost 1 is interested in task 3.\nHost 10 is interested in task 1.\nHost 0 is interested in task 3.\nHost 8 is interested in task 5.\nHost 8 is interested in task 10.\nHost 4 is interested in task 1.\nHost 5 is interested in task 14.\nHost 12 is interested in task 11.\nHost 4 is interested in task 10.\nHost 1 is interested in task 14.\nHost 0 is interested in task 0.\nHost 0 is interested in task 11.\nHost 1 is interested in task 10.\nHost 2 is interested in task 15.\nHost 0 is interested in task 6.\nHost 8 is interested in task 9.\nHost 11 is interested in task 6.\nHost 2 is interested in task 4.\nHost 3 is interested in task 12.\nHost 2 is interested in task 7.\nHost 8 is interested in task 2.\nHost 3 is interested in task 11.\nHost 9 is interested in task 1.\nHost 10 is interested in task 11.\nHost 3 is interested in task 7.\nHost 2 is interested in task 14.\nHost 5 is interested in task 2.\nHost 7 is interested in task 0.\nHost 0 is interested in task 7.\nHost 8 is interested in task 0.\nHost 12 is interested in task 2.\nHost 11 is interested in task 14.\nHost 1 is interested in task 7.\nHost 8 is interested in task 6.\nHost 7 is interested in task 13.\nHost 0 is interested in task 4.\nHost 10 is interested in task 10.\nHost 3 is interested in task 5.\nHost 1 is interested in task 5.\nHost 10 is interested in task 12.\nHost 1 is interested in task 13.\nHost 1 is interested in task 8.\nHost 6 is interested in task 0.\nHost 10 is interested in task 3.\nHost 7 is interested in task 10.\nHost 4 is interested in task 3.\nHost 8 is interested in task 7.\nHost 5 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 2.\nHost 3 is interested in task 10.\nHost 11 is interested in task 12.\nHost 1 is interested in task 0.\nHost 10 is interested in task 0.\nHost 6 is interested in task 2.\nHost 5 is interested in task 6.\nHost 10 is interested in task 2.\nHost 5 is interested in task 13.\nHost 8 is interested in task 11.\nHost 0 is interested in task 8.\nHost 1 is interested in task 9.\nHost 4 is interested in task 11.\nHost 1 is interested in task 12.\nHost 10 is interested in task 5.\nHost 2 is interested in task 11.\nHost 7 is interested in task 6.\nHost 10 is interested in task 6.\nHost 10 is interested in task 7.\nHost 1 is interested in task 6.\nHost 9 is interested in task 14.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 7 is interested in task 7.\nHost 9 is interested in task 12.\nHost 8 is interested in task 8.\nHost 8 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph493", "image": "data/matching/graph_visual/hard/graph493.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 1 is interested in task 6.\nHost 11 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 10.\nHost 2 is interested in task 4.\nHost 2 is interested in task 3.\nHost 0 is interested in task 8.\nHost 6 is interested in task 9.\nHost 4 is interested in task 2.\nHost 6 is interested in task 5.\nHost 7 is interested in task 5.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 11 is interested in task 4.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 10 is interested in task 9.\nHost 11 is interested in task 2.\nHost 3 is interested in task 8.\nHost 3 is interested in task 5.\nHost 6 is interested in task 3.\nHost 1 is interested in task 10.\nHost 8 is interested in task 4.\nHost 5 is interested in task 9.\nHost 11 is interested in task 3.\nHost 10 is interested in task 1.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 6 is interested in task 7.\nHost 0 is interested in task 7.\nHost 0 is interested in task 10.\nHost 7 is interested in task 7.\nHost 4 is interested in task 4.\nHost 4 is interested in task 3.\nHost 9 is interested in task 2.\nHost 8 is interested in task 1.\nHost 10 is interested in task 3.\nHost 2 is interested in task 7.\nHost 8 is interested in task 9.\nHost 9 is interested in task 10.\nHost 4 is interested in task 0.\nHost 7 is interested in task 3.\nHost 4 is interested in task 1.\nHost 11 is interested in task 8.\nHost 6 is interested in task 10.\nHost 3 is interested in task 9.\nHost 4 is interested in task 9.\nHost 11 is interested in task 1.\nHost 9 is interested in task 6.\nHost 1 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph879", "image": "data/matching/graph_visual/hard/graph879.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 11.\nHost 1 is interested in task 7.\nHost 4 is interested in task 5.\nHost 9 is interested in task 3.\nHost 8 is interested in task 9.\nHost 6 is interested in task 11.\nHost 11 is interested in task 6.\nHost 8 is interested in task 7.\nHost 3 is interested in task 7.\nHost 5 is interested in task 9.\nHost 4 is interested in task 9.\nHost 6 is interested in task 10.\nHost 2 is interested in task 6.\nHost 12 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 4.\nHost 11 is interested in task 7.\nHost 13 is interested in task 0.\nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 4.\nHost 5 is interested in task 10.\nHost 5 is interested in task 0.\nHost 12 is interested in task 8.\nHost 3 is interested in task 11.\nHost 4 is interested in task 10.\nHost 10 is interested in task 5.\nHost 1 is interested in task 9.\nHost 7 is interested in task 8.\nHost 1 is interested in task 10.\nHost 12 is interested in task 9.\nHost 5 is interested in task 6.\nHost 6 is interested in task 4.\nHost 10 is interested in task 3.\nHost 7 is interested in task 9.\nHost 5 is interested in task 7.\nHost 0 is interested in task 1.\nHost 3 is interested in task 5.\nHost 12 is interested in task 3.\nHost 5 is interested in task 8.\nHost 7 is interested in task 11.\nHost 11 is interested in task 3.\nHost 5 is interested in task 4.\nHost 5 is interested in task 2.\nHost 10 is interested in task 10.\nHost 2 is interested in task 0.\nHost 4 is interested in task 2.\nHost 10 is interested in task 8.\nHost 11 is interested in task 10.\nHost 9 is interested in task 10.\nHost 12 is interested in task 0.\nHost 2 is interested in task 10.\nHost 2 is interested in task 9.\nHost 11 is interested in task 8.\nHost 4 is interested in task 6.\nHost 12 is interested in task 10.\nHost 7 is interested in task 7.\nHost 0 is interested in task 9.\nHost 4 is interested in task 8.\nHost 5 is interested in task 1.\nHost 13 is interested in task 6.\nHost 7 is interested in task 6.\nHost 2 is interested in task 7.\nHost 3 is interested in task 2.\nHost 10 is interested in task 7.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph219", "image": "data/matching/graph_visual/hard/graph219.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 9 is interested in task 7.\nHost 2 is interested in task 2.\nHost 2 is interested in task 0.\nHost 0 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 2.\nHost 7 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 7.\nHost 8 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 1.\nHost 8 is interested in task 3.\nHost 2 is interested in task 5.\nHost 9 is interested in task 4.\nHost 9 is interested in task 6.\nHost 1 is interested in task 6.\nHost 9 is interested in task 2.\nHost 7 is interested in task 1.\nHost 8 is interested in task 5.\nHost 3 is interested in task 0.\nHost 8 is interested in task 0.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 7 is interested in task 4.\nHost 6 is interested in task 0.\nHost 5 is interested in task 3.\nHost 10 is interested in task 7.\nHost 2 is interested in task 7.\nHost 8 is interested in task 6.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph976", "image": "data/matching/graph_visual/hard/graph976.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 7.\nHost 9 is interested in task 12.\nHost 1 is interested in task 14.\nHost 5 is interested in task 10.\nHost 13 is interested in task 9.\nHost 5 is interested in task 8.\nHost 11 is interested in task 14.\nHost 0 is interested in task 1.\nHost 3 is interested in task 9.\nHost 6 is interested in task 1.\nHost 8 is interested in task 8.\nHost 13 is interested in task 5.\nHost 13 is interested in task 13.\nHost 13 is interested in task 12.\nHost 8 is interested in task 7.\nHost 2 is interested in task 10.\nHost 2 is interested in task 9.\nHost 3 is interested in task 6.\nHost 13 is interested in task 4.\nHost 10 is interested in task 12.\nHost 8 is interested in task 14.\nHost 8 is interested in task 6.\nHost 7 is interested in task 12.\nHost 13 is interested in task 6.\nHost 1 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 11.\nHost 8 is interested in task 2.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 8 is interested in task 13.\nHost 6 is interested in task 6.\nHost 2 is interested in task 12.\nHost 13 is interested in task 2.\nHost 13 is interested in task 3.\nHost 13 is interested in task 7.\nHost 2 is interested in task 11.\nHost 8 is interested in task 5.\nHost 10 is interested in task 6.\nHost 12 is interested in task 12.\nHost 3 is interested in task 11.\nHost 9 is interested in task 9.\nHost 13 is interested in task 8.\nHost 4 is interested in task 0.\nHost 1 is interested in task 12.\nHost 3 is interested in task 12.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 8.\nHost 3 is interested in task 14.\nHost 8 is interested in task 9.\nHost 9 is interested in task 6.\nHost 3 is interested in task 3.\nHost 6 is interested in task 10.\nHost 9 is interested in task 13.\nHost 5 is interested in task 9.\nHost 0 is interested in task 5.\nHost 3 is interested in task 13.\nHost 8 is interested in task 11.\nHost 3 is interested in task 2.\nHost 8 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 5 is interested in task 1.\nHost 1 is interested in task 9.\nHost 4 is interested in task 7.\nHost 0 is interested in task 12.\nHost 10 is interested in task 14.\nHost 5 is interested in task 5.\nHost 0 is interested in task 13.\nHost 6 is interested in task 14.\nHost 1 is interested in task 11.\nHost 11 is interested in task 6.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 13 is interested in task 0.\nHost 10 is interested in task 13.\nHost 1 is interested in task 8.\nHost 2 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph756", "image": "data/matching/graph_visual/hard/graph756.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 7.\nHost 5 is interested in task 7.\nHost 9 is interested in task 2.\nHost 1 is interested in task 12.\nHost 7 is interested in task 5.\nHost 3 is interested in task 13.\nHost 6 is interested in task 11.\nHost 6 is interested in task 12.\nHost 7 is interested in task 10.\nHost 2 is interested in task 5.\nHost 6 is interested in task 8.\nHost 12 is interested in task 13.\nHost 9 is interested in task 6.\nHost 5 is interested in task 0.\nHost 1 is interested in task 13.\nHost 10 is interested in task 1.\nHost 10 is interested in task 5.\nHost 0 is interested in task 2.\nHost 12 is interested in task 1.\nHost 4 is interested in task 8.\nHost 2 is interested in task 3.\nHost 0 is interested in task 5.\nHost 4 is interested in task 6.\nHost 7 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 4.\nHost 12 is interested in task 2.\nHost 8 is interested in task 8.\nHost 10 is interested in task 2.\nHost 12 is interested in task 7.\nHost 6 is interested in task 0.\nHost 12 is interested in task 6.\nHost 2 is interested in task 1.\nHost 10 is interested in task 8.\nHost 0 is interested in task 7.\nHost 8 is interested in task 9.\nHost 5 is interested in task 11.\nHost 0 is interested in task 0.\nHost 2 is interested in task 11.\nHost 8 is interested in task 12.\nHost 5 is interested in task 2.\nHost 3 is interested in task 2.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 10 is interested in task 0.\nHost 5 is interested in task 13.\nHost 6 is interested in task 10.\nHost 7 is interested in task 8.\nHost 8 is interested in task 4.\nHost 6 is interested in task 6.\nHost 8 is interested in task 0.\nHost 10 is interested in task 11.\nHost 0 is interested in task 11.\nHost 3 is interested in task 7.\nHost 2 is interested in task 2.\nHost 10 is interested in task 4.\nHost 10 is interested in task 12.\nHost 0 is interested in task 13.\nHost 3 is interested in task 10.\nHost 11 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 4.\nHost 1 is interested in task 9.\nHost 12 is interested in task 0.\nHost 7 is interested in task 3.\nHost 6 is interested in task 4.\nHost 11 is interested in task 12.\nHost 10 is interested in task 13.\nHost 6 is interested in task 5.\nHost 9 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 12.\nHost 0 is interested in task 8.\nHost 8 is interested in task 13.\nHost 7 is interested in task 7.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1185", "image": "data/matching/graph_visual/hard/graph1185.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 0 is interested in task 15.\nHost 12 is interested in task 6.\nHost 3 is interested in task 15.\nHost 0 is interested in task 5.\nHost 8 is interested in task 1.\nHost 1 is interested in task 15.\nHost 4 is interested in task 7.\nHost 10 is interested in task 2.\nHost 10 is interested in task 0.\nHost 10 is interested in task 15.\nHost 12 is interested in task 0.\nHost 13 is interested in task 3.\nHost 5 is interested in task 5.\nHost 11 is interested in task 5.\nHost 4 is interested in task 5.\nHost 3 is interested in task 9.\nHost 2 is interested in task 11.\nHost 14 is interested in task 11.\nHost 8 is interested in task 13.\nHost 7 is interested in task 10.\nHost 9 is interested in task 5.\nHost 13 is interested in task 5.\nHost 4 is interested in task 10.\nHost 1 is interested in task 7.\nHost 11 is interested in task 14.\nHost 9 is interested in task 2.\nHost 0 is interested in task 10.\nHost 6 is interested in task 9.\nHost 11 is interested in task 1.\nHost 12 is interested in task 8.\nHost 9 is interested in task 4.\nHost 10 is interested in task 13.\nHost 1 is interested in task 10.\nHost 1 is interested in task 14.\nHost 11 is interested in task 12.\nHost 6 is interested in task 5.\nHost 1 is interested in task 0.\nHost 13 is interested in task 14.\nHost 9 is interested in task 14.\nHost 4 is interested in task 15.\nHost 2 is interested in task 14.\nHost 9 is interested in task 7.\nHost 1 is interested in task 12.\nHost 11 is interested in task 6.\nHost 9 is interested in task 11.\nHost 13 is interested in task 8.\nHost 10 is interested in task 9.\nHost 7 is interested in task 15.\nHost 5 is interested in task 7.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 10 is interested in task 7.\nHost 14 is interested in task 3.\nHost 2 is interested in task 8.\nHost 9 is interested in task 13.\nHost 4 is interested in task 0.\nHost 4 is interested in task 11.\nHost 10 is interested in task 8.\nHost 5 is interested in task 6.\nHost 8 is interested in task 10.\nHost 9 is interested in task 9.\nHost 12 is interested in task 11.\nHost 7 is interested in task 4.\nHost 0 is interested in task 9.\nHost 11 is interested in task 2.\nHost 5 is interested in task 14.\nHost 2 is interested in task 15.\nHost 1 is interested in task 4.\nHost 6 is interested in task 15.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 4 is interested in task 14.\nHost 0 is interested in task 11.\nHost 10 is interested in task 4.\nHost 5 is interested in task 4.\nHost 12 is interested in task 14.\nHost 5 is interested in task 2.\nHost 9 is interested in task 10.\nHost 12 is interested in task 15.\nHost 0 is interested in task 0.\nHost 8 is interested in task 2.\nHost 9 is interested in task 1.\nHost 7 is interested in task 9.\nHost 10 is interested in task 14.\nHost 8 is interested in task 7.\nHost 5 is interested in task 8.\nHost 11 is interested in task 11.\nHost 11 is interested in task 10.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 14 is interested in task 10.\nHost 12 is interested in task 2.\nHost 12 is interested in task 7.\nHost 5 is interested in task 11.\nHost 8 is interested in task 3.\nHost 0 is interested in task 6.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 13.\nHost 7 is interested in task 13.\nHost 13 is interested in task 0.\nHost 12 is interested in task 5.\nHost 9 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph913", "image": "data/matching/graph_visual/hard/graph913.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 10.\nHost 5 is interested in task 6.\nHost 0 is interested in task 7.\nHost 10 is interested in task 6.\nHost 11 is interested in task 5.\nHost 11 is interested in task 2.\nHost 4 is interested in task 2.\nHost 8 is interested in task 7.\nHost 5 is interested in task 2.\nHost 0 is interested in task 12.\nHost 7 is interested in task 11.\nHost 10 is interested in task 0.\nHost 12 is interested in task 0.\nHost 0 is interested in task 4.\nHost 4 is interested in task 9.\nHost 7 is interested in task 10.\nHost 9 is interested in task 11.\nHost 11 is interested in task 12.\nHost 3 is interested in task 12.\nHost 4 is interested in task 12.\nHost 13 is interested in task 6.\nHost 6 is interested in task 10.\nHost 1 is interested in task 2.\nHost 10 is interested in task 12.\nHost 0 is interested in task 0.\nHost 8 is interested in task 2.\nHost 6 is interested in task 6.\nHost 10 is interested in task 11.\nHost 9 is interested in task 1.\nHost 7 is interested in task 3.\nHost 6 is interested in task 3.\nHost 11 is interested in task 0.\nHost 9 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 6 is interested in task 8.\nHost 5 is interested in task 8.\nHost 9 is interested in task 2.\nHost 0 is interested in task 8.\nHost 11 is interested in task 1.\nHost 9 is interested in task 5.\nHost 8 is interested in task 12.\nHost 9 is interested in task 12.\nHost 6 is interested in task 4.\nHost 9 is interested in task 10.\nHost 0 is interested in task 9.\nHost 10 is interested in task 9.\nHost 11 is interested in task 11.\nHost 13 is interested in task 3.\nHost 7 is interested in task 8.\nHost 1 is interested in task 9.\nHost 4 is interested in task 10.\nHost 4 is interested in task 3.\nHost 4 is interested in task 8.\nHost 9 is interested in task 9.\nHost 11 is interested in task 10.\nHost 0 is interested in task 1.\nHost 7 is interested in task 5.\nHost 2 is interested in task 10.\nHost 0 is interested in task 3.\nHost 4 is interested in task 11.\nHost 10 is interested in task 1.\nHost 11 is interested in task 7.\nHost 8 is interested in task 1.\nHost 13 is interested in task 1.\nHost 13 is interested in task 9.\nHost 6 is interested in task 7.\nHost 8 is interested in task 9.\nHost 0 is interested in task 2.\nHost 9 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph902", "image": "data/matching/graph_visual/hard/graph902.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 12 is interested in task 5.\nHost 7 is interested in task 2.\nHost 13 is interested in task 6.\nHost 1 is interested in task 0.\nHost 8 is interested in task 4.\nHost 8 is interested in task 8.\nHost 12 is interested in task 4.\nHost 11 is interested in task 7.\nHost 1 is interested in task 12.\nHost 1 is interested in task 7.\nHost 13 is interested in task 8.\nHost 1 is interested in task 9.\nHost 10 is interested in task 10.\nHost 12 is interested in task 6.\nHost 7 is interested in task 7.\nHost 0 is interested in task 10.\nHost 4 is interested in task 5.\nHost 9 is interested in task 9.\nHost 10 is interested in task 4.\nHost 13 is interested in task 9.\nHost 7 is interested in task 5.\nHost 6 is interested in task 8.\nHost 7 is interested in task 1.\nHost 5 is interested in task 10.\nHost 2 is interested in task 1.\nHost 12 is interested in task 3.\nHost 6 is interested in task 9.\nHost 9 is interested in task 3.\nHost 12 is interested in task 11.\nHost 13 is interested in task 11.\nHost 11 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 8.\nHost 4 is interested in task 11.\nHost 6 is interested in task 4.\nHost 9 is interested in task 8.\nHost 10 is interested in task 0.\nHost 9 is interested in task 0.\nHost 6 is interested in task 7.\nHost 11 is interested in task 10.\nHost 5 is interested in task 12.\nHost 1 is interested in task 10.\nHost 7 is interested in task 3.\nHost 5 is interested in task 1.\nHost 3 is interested in task 1.\nHost 11 is interested in task 5.\nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 7 is interested in task 11.\nHost 7 is interested in task 8.\nHost 7 is interested in task 10.\nHost 5 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 10.\nHost 7 is interested in task 0.\nHost 3 is interested in task 8.\nHost 3 is interested in task 3.\nHost 12 is interested in task 1.\nHost 7 is interested in task 4.\nHost 1 is interested in task 8.\nHost 2 is interested in task 0.\nHost 9 is interested in task 2.\nHost 4 is interested in task 0.\nHost 4 is interested in task 6.\nHost 10 is interested in task 11.\nHost 9 is interested in task 5.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1109", "image": "data/matching/graph_visual/hard/graph1109.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 8.\nHost 7 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 9 is interested in task 11.\nHost 12 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 5.\nHost 9 is interested in task 9.\nHost 14 is interested in task 0.\nHost 5 is interested in task 5.\nHost 6 is interested in task 4.\nHost 10 is interested in task 3.\nHost 0 is interested in task 4.\nHost 9 is interested in task 3.\nHost 1 is interested in task 7.\nHost 0 is interested in task 2.\nHost 13 is interested in task 10.\nHost 5 is interested in task 12.\nHost 11 is interested in task 5.\nHost 4 is interested in task 9.\nHost 13 is interested in task 11.\nHost 0 is interested in task 9.\nHost 1 is interested in task 8.\nHost 4 is interested in task 10.\nHost 4 is interested in task 7.\nHost 11 is interested in task 4.\nHost 4 is interested in task 0.\nHost 8 is interested in task 1.\nHost 14 is interested in task 11.\nHost 6 is interested in task 8.\nHost 8 is interested in task 10.\nHost 5 is interested in task 9.\nHost 6 is interested in task 0.\nHost 10 is interested in task 9.\nHost 8 is interested in task 3.\nHost 7 is interested in task 9.\nHost 1 is interested in task 4.\nHost 8 is interested in task 5.\nHost 8 is interested in task 2.\nHost 8 is interested in task 9.\nHost 1 is interested in task 2.\nHost 10 is interested in task 0.\nHost 10 is interested in task 2.\nHost 10 is interested in task 1.\nHost 4 is interested in task 12.\nHost 0 is interested in task 5.\nHost 5 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 11 is interested in task 12.\nHost 5 is interested in task 11.\nHost 7 is interested in task 10.\nHost 8 is interested in task 6.\nHost 4 is interested in task 11.\nHost 8 is interested in task 11.\nHost 3 is interested in task 4.\nHost 14 is interested in task 7.\nHost 6 is interested in task 7.\nHost 3 is interested in task 0.\nHost 8 is interested in task 0.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 12 is interested in task 12.\nHost 14 is interested in task 9.\nHost 5 is interested in task 10.\nHost 10 is interested in task 7.\nHost 0 is interested in task 1.\nHost 6 is interested in task 9.\nHost 4 is interested in task 8.\nHost 9 is interested in task 4.\nHost 3 is interested in task 6.\nHost 3 is interested in task 12.\nHost 12 is interested in task 5.\nHost 14 is interested in task 4.\nHost 4 is interested in task 2.\nHost 14 is interested in task 5.\nHost 4 is interested in task 5.\nHost 1 is interested in task 11.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph676", "image": "data/matching/graph_visual/hard/graph676.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 8.\nHost 9 is interested in task 10.\nHost 10 is interested in task 7.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 0 is interested in task 10.\nHost 2 is interested in task 4.\nHost 12 is interested in task 4.\nHost 2 is interested in task 1.\nHost 6 is interested in task 4.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 11 is interested in task 3.\nHost 9 is interested in task 5.\nHost 0 is interested in task 6.\nHost 11 is interested in task 0.\nHost 12 is interested in task 2.\nHost 4 is interested in task 7.\nHost 6 is interested in task 9.\nHost 6 is interested in task 3.\nHost 7 is interested in task 10.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 0 is interested in task 1.\nHost 11 is interested in task 5.\nHost 11 is interested in task 8.\nHost 11 is interested in task 7.\nHost 8 is interested in task 0.\nHost 8 is interested in task 9.\nHost 2 is interested in task 10.\nHost 6 is interested in task 10.\nHost 3 is interested in task 10.\nHost 6 is interested in task 8.\nHost 5 is interested in task 9.\nHost 7 is interested in task 4.\nHost 3 is interested in task 3.\nHost 6 is interested in task 2.\nHost 2 is interested in task 9.\nHost 2 is interested in task 2.\nHost 0 is interested in task 7.\nHost 9 is interested in task 3.\nHost 10 is interested in task 0.\nHost 8 is interested in task 5.\nHost 10 is interested in task 3.\nHost 0 is interested in task 2.\nHost 9 is interested in task 1.\nHost 2 is interested in task 6.\nHost 2 is interested in task 0.\nHost 1 is interested in task 5.\nHost 0 is interested in task 0.\nHost 4 is interested in task 1.\nHost 12 is interested in task 7.\nHost 6 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 2.\nHost 10 is interested in task 10.\nHost 8 is interested in task 4.\nHost 5 is interested in task 1.\nHost 1 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 9.\nHost 3 is interested in task 8.\nHost 4 is interested in task 4.\nHost 9 is interested in task 7.\nHost 7 is interested in task 2.\nHost 9 is interested in task 4.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph365", "image": "data/matching/graph_visual/hard/graph365.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 10.\nHost 10 is interested in task 6.\nHost 0 is interested in task 4.\nHost 0 is interested in task 8.\nHost 0 is interested in task 6.\nHost 1 is interested in task 6.\nHost 3 is interested in task 8.\nHost 1 is interested in task 0.\nHost 8 is interested in task 2.\nHost 6 is interested in task 12.\nHost 3 is interested in task 0.\nHost 6 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 0.\nHost 4 is interested in task 4.\nHost 8 is interested in task 10.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 5 is interested in task 1.\nHost 7 is interested in task 0.\nHost 7 is interested in task 6.\nHost 7 is interested in task 8.\nHost 10 is interested in task 4.\nHost 10 is interested in task 9.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 11.\nHost 6 is interested in task 3.\nHost 2 is interested in task 7.\nHost 1 is interested in task 7.\nHost 0 is interested in task 11.\nHost 3 is interested in task 7.\nHost 8 is interested in task 3.\nHost 10 is interested in task 7.\nHost 10 is interested in task 0.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 2 is interested in task 8.\nHost 5 is interested in task 2.\nHost 9 is interested in task 4.\nHost 1 is interested in task 8.\nHost 2 is interested in task 4.\nHost 9 is interested in task 11.\nHost 9 is interested in task 8.\nHost 3 is interested in task 9.\nHost 5 is interested in task 3.\nHost 2 is interested in task 6.\nHost 8 is interested in task 4.\nHost 2 is interested in task 11.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 4 is interested in task 7.\nHost 5 is interested in task 0.\nHost 6 is interested in task 1.\nHost 9 is interested in task 3.\nHost 8 is interested in task 5.\nHost 5 is interested in task 6.\nHost 9 is interested in task 0.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph729", "image": "data/matching/graph_visual/hard/graph729.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 10 is interested in task 1.\nHost 10 is interested in task 6.\nHost 6 is interested in task 2.\nHost 2 is interested in task 3.\nHost 12 is interested in task 10.\nHost 10 is interested in task 7.\nHost 8 is interested in task 1.\nHost 9 is interested in task 11.\nHost 8 is interested in task 9.\nHost 2 is interested in task 8.\nHost 11 is interested in task 11.\nHost 10 is interested in task 5.\nHost 5 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 3.\nHost 9 is interested in task 12.\nHost 12 is interested in task 4.\nHost 9 is interested in task 4.\nHost 2 is interested in task 5.\nHost 2 is interested in task 4.\nHost 6 is interested in task 6.\nHost 12 is interested in task 12.\nHost 11 is interested in task 7.\nHost 11 is interested in task 9.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 7 is interested in task 5.\nHost 10 is interested in task 10.\nHost 3 is interested in task 5.\nHost 12 is interested in task 8.\nHost 10 is interested in task 9.\nHost 6 is interested in task 12.\nHost 8 is interested in task 10.\nHost 4 is interested in task 0.\nHost 0 is interested in task 6.\nHost 4 is interested in task 11.\nHost 0 is interested in task 12.\nHost 2 is interested in task 9.\nHost 11 is interested in task 4.\nHost 8 is interested in task 8.\nHost 9 is interested in task 5.\nHost 7 is interested in task 11.\nHost 8 is interested in task 11.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 12 is interested in task 1.\nHost 3 is interested in task 10.\nHost 6 is interested in task 4.\nHost 6 is interested in task 8.\nHost 0 is interested in task 2.\nHost 2 is interested in task 10.\nHost 9 is interested in task 1.\nHost 8 is interested in task 4.\nHost 1 is interested in task 10.\nHost 11 is interested in task 6.\nHost 8 is interested in task 12.\nHost 1 is interested in task 3.\nHost 4 is interested in task 2.\nHost 11 is interested in task 0.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph957", "image": "data/matching/graph_visual/hard/graph957.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 4.\nHost 4 is interested in task 9.\nHost 4 is interested in task 4.\nHost 1 is interested in task 2.\nHost 11 is interested in task 3.\nHost 1 is interested in task 8.\nHost 7 is interested in task 1.\nHost 1 is interested in task 10.\nHost 13 is interested in task 3.\nHost 2 is interested in task 4.\nHost 13 is interested in task 6.\nHost 8 is interested in task 13.\nHost 2 is interested in task 13.\nHost 4 is interested in task 0.\nHost 0 is interested in task 12.\nHost 9 is interested in task 5.\nHost 2 is interested in task 0.\nHost 6 is interested in task 5.\nHost 9 is interested in task 0.\nHost 4 is interested in task 3.\nHost 10 is interested in task 4.\nHost 13 is interested in task 8.\nHost 0 is interested in task 13.\nHost 4 is interested in task 8.\nHost 13 is interested in task 1.\nHost 12 is interested in task 9.\nHost 12 is interested in task 5.\nHost 7 is interested in task 13.\nHost 11 is interested in task 10.\nHost 6 is interested in task 0.\nHost 4 is interested in task 1.\nHost 7 is interested in task 9.\nHost 0 is interested in task 5.\nHost 7 is interested in task 11.\nHost 9 is interested in task 12.\nHost 12 is interested in task 1.\nHost 4 is interested in task 7.\nHost 9 is interested in task 8.\nHost 2 is interested in task 3.\nHost 13 is interested in task 12.\nHost 9 is interested in task 4.\nHost 3 is interested in task 2.\nHost 8 is interested in task 10.\nHost 0 is interested in task 7.\nHost 1 is interested in task 13.\nHost 5 is interested in task 6.\nHost 11 is interested in task 8.\nHost 10 is interested in task 13.\nHost 3 is interested in task 12.\nHost 4 is interested in task 12.\nHost 9 is interested in task 10.\nHost 1 is interested in task 7.\nHost 10 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 13.\nHost 3 is interested in task 1.\nHost 7 is interested in task 0.\nHost 5 is interested in task 2.\nHost 0 is interested in task 0.\nHost 4 is interested in task 2.\nHost 11 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 6.\nHost 8 is interested in task 0.\nHost 6 is interested in task 8.\nHost 9 is interested in task 6.\nHost 9 is interested in task 2.\nHost 5 is interested in task 1.\nHost 13 is interested in task 11.\nHost 1 is interested in task 3.\nHost 2 is interested in task 7.\nHost 5 is interested in task 11.\nHost 3 is interested in task 11.\nHost 12 is interested in task 12.\nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 12 is interested in task 7.\nHost 1 is interested in task 11.\nHost 1 is interested in task 5.\nHost 11 is interested in task 1.\nHost 4 is interested in task 5.\nHost 3 is interested in task 0.\nHost 10 is interested in task 12.\nHost 10 is interested in task 0.\nHost 11 is interested in task 9.\nHost 12 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1236", "image": "data/matching/graph_visual/hard/graph1236.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 14.\nHost 10 is interested in task 17.\nHost 1 is interested in task 8.\nHost 8 is interested in task 6.\nHost 14 is interested in task 14.\nHost 14 is interested in task 10.\nHost 9 is interested in task 11.\nHost 7 is interested in task 10.\nHost 3 is interested in task 0.\nHost 8 is interested in task 5.\nHost 2 is interested in task 6.\nHost 5 is interested in task 8.\nHost 14 is interested in task 6.\nHost 1 is interested in task 11.\nHost 13 is interested in task 17.\nHost 9 is interested in task 6.\nHost 5 is interested in task 17.\nHost 8 is interested in task 4.\nHost 9 is interested in task 13.\nHost 11 is interested in task 8.\nHost 3 is interested in task 5.\nHost 6 is interested in task 3.\nHost 7 is interested in task 11.\nHost 4 is interested in task 2.\nHost 13 is interested in task 7.\nHost 4 is interested in task 12.\nHost 12 is interested in task 5.\nHost 3 is interested in task 7.\nHost 3 is interested in task 13.\nHost 13 is interested in task 4.\nHost 6 is interested in task 17.\nHost 10 is interested in task 1.\nHost 14 is interested in task 4.\nHost 6 is interested in task 7.\nHost 7 is interested in task 5.\nHost 8 is interested in task 16.\nHost 3 is interested in task 11.\nHost 3 is interested in task 8.\nHost 11 is interested in task 3.\nHost 9 is interested in task 4.\nHost 1 is interested in task 10.\nHost 11 is interested in task 1.\nHost 8 is interested in task 11.\nHost 2 is interested in task 0.\nHost 8 is interested in task 0.\nHost 6 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 5.\nHost 13 is interested in task 14.\nHost 9 is interested in task 5.\nHost 12 is interested in task 9.\nHost 13 is interested in task 2.\nHost 4 is interested in task 5.\nHost 9 is interested in task 8.\nHost 6 is interested in task 16.\nHost 5 is interested in task 12.\nHost 5 is interested in task 10.\nHost 14 is interested in task 12.\nHost 9 is interested in task 2.\nHost 3 is interested in task 16.\nHost 5 is interested in task 7.\nHost 10 is interested in task 7.\nHost 10 is interested in task 10.\nHost 14 is interested in task 5.\nHost 5 is interested in task 11.\nHost 9 is interested in task 1.\nHost 7 is interested in task 16.\nHost 6 is interested in task 6.\nHost 0 is interested in task 1.\nHost 4 is interested in task 1.\nHost 8 is interested in task 15.\nHost 0 is interested in task 4.\nHost 14 is interested in task 11.\nHost 12 is interested in task 15.\nHost 6 is interested in task 10.\nHost 11 is interested in task 0.\nHost 13 is interested in task 12.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 1 is interested in task 14.\nHost 4 is interested in task 11.\nHost 12 is interested in task 3.\nHost 13 is interested in task 15.\nHost 2 is interested in task 3.\nHost 2 is interested in task 12.\nHost 2 is interested in task 13.\nHost 1 is interested in task 5.\nHost 0 is interested in task 11.\nHost 14 is interested in task 8.\nHost 1 is interested in task 1.\nHost 7 is interested in task 3.\nHost 6 is interested in task 13.\nHost 8 is interested in task 8.\nHost 12 is interested in task 11.\nHost 10 is interested in task 13.\nHost 0 is interested in task 9.\nHost 0 is interested in task 13.\nHost 11 is interested in task 11.\nHost 10 is interested in task 3.\nHost 14 is interested in task 13.\nHost 2 is interested in task 17.\nHost 5 is interested in task 4.\nHost 7 is interested in task 14.\nHost 8 is interested in task 1.\nHost 14 is interested in task 3.\nHost 12 is interested in task 4.\nHost 13 is interested in task 1.\nHost 12 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1036", "image": "data/matching/graph_visual/hard/graph1036.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 7.\nHost 8 is interested in task 12.\nHost 6 is interested in task 3.\nHost 6 is interested in task 0.\nHost 5 is interested in task 12.\nHost 6 is interested in task 1.\nHost 2 is interested in task 15.\nHost 5 is interested in task 2.\nHost 11 is interested in task 10.\nHost 7 is interested in task 2.\nHost 6 is interested in task 16.\nHost 6 is interested in task 14.\nHost 8 is interested in task 9.\nHost 2 is interested in task 3.\nHost 13 is interested in task 10.\nHost 13 is interested in task 9.\nHost 2 is interested in task 8.\nHost 3 is interested in task 14.\nHost 0 is interested in task 12.\nHost 5 is interested in task 9.\nHost 1 is interested in task 12.\nHost 2 is interested in task 2.\nHost 0 is interested in task 7.\nHost 7 is interested in task 16.\nHost 13 is interested in task 11.\nHost 2 is interested in task 9.\nHost 1 is interested in task 2.\nHost 13 is interested in task 0.\nHost 9 is interested in task 4.\nHost 1 is interested in task 3.\nHost 2 is interested in task 13.\nHost 6 is interested in task 13.\nHost 7 is interested in task 12.\nHost 4 is interested in task 7.\nHost 4 is interested in task 4.\nHost 4 is interested in task 14.\nHost 9 is interested in task 15.\nHost 1 is interested in task 0.\nHost 1 is interested in task 15.\nHost 3 is interested in task 9.\nHost 5 is interested in task 3.\nHost 7 is interested in task 13.\nHost 9 is interested in task 0.\nHost 1 is interested in task 5.\nHost 6 is interested in task 15.\nHost 3 is interested in task 1.\nHost 7 is interested in task 9.\nHost 3 is interested in task 11.\nHost 8 is interested in task 14.\nHost 13 is interested in task 2.\nHost 10 is interested in task 14.\nHost 9 is interested in task 11.\nHost 9 is interested in task 2.\nHost 8 is interested in task 0.\nHost 3 is interested in task 13.\nHost 5 is interested in task 8.\nHost 4 is interested in task 1.\nHost 2 is interested in task 0.\nHost 12 is interested in task 11.\nHost 5 is interested in task 10.\nHost 13 is interested in task 7.\nHost 1 is interested in task 7.\nHost 6 is interested in task 5.\nHost 5 is interested in task 11.\nHost 7 is interested in task 14.\nHost 12 is interested in task 0.\nHost 7 is interested in task 0.\nHost 12 is interested in task 12.\nHost 5 is interested in task 6.\nHost 8 is interested in task 10.\nHost 5 is interested in task 5.\nHost 1 is interested in task 16.\nHost 2 is interested in task 10.\nHost 3 is interested in task 5.\nHost 5 is interested in task 16.\nHost 0 is interested in task 15.\nHost 7 is interested in task 15.\nHost 6 is interested in task 7.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 16.\nHost 6 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph505", "image": "data/matching/graph_visual/hard/graph505.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 10.\nHost 0 is interested in task 8.\nHost 7 is interested in task 2.\nHost 3 is interested in task 6.\nHost 6 is interested in task 9.\nHost 8 is interested in task 8.\nHost 3 is interested in task 2.\nHost 3 is interested in task 9.\nHost 6 is interested in task 5.\nHost 8 is interested in task 1.\nHost 2 is interested in task 7.\nHost 3 is interested in task 1.\nHost 5 is interested in task 3.\nHost 2 is interested in task 9.\nHost 9 is interested in task 4.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 4 is interested in task 0.\nHost 8 is interested in task 10.\nHost 2 is interested in task 8.\nHost 7 is interested in task 10.\nHost 3 is interested in task 0.\nHost 2 is interested in task 10.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 10 is interested in task 5.\nHost 7 is interested in task 4.\nHost 11 is interested in task 0.\nHost 5 is interested in task 10.\nHost 8 is interested in task 9.\nHost 10 is interested in task 1.\nHost 0 is interested in task 5.\nHost 10 is interested in task 8.\nHost 2 is interested in task 0.\nHost 11 is interested in task 2.\nHost 4 is interested in task 2.\nHost 7 is interested in task 3.\nHost 10 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 9.\nHost 0 is interested in task 6.\nHost 4 is interested in task 4.\nHost 10 is interested in task 7.\nHost 5 is interested in task 2.\nHost 7 is interested in task 5.\nHost 4 is interested in task 9.\nHost 11 is interested in task 7.\nHost 4 is interested in task 10.\nHost 2 is interested in task 2.\nHost 1 is interested in task 7.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph422", "image": "data/matching/graph_visual/hard/graph422.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 4 is interested in task 8.\nHost 2 is interested in task 3.\nHost 8 is interested in task 7.\nHost 9 is interested in task 3.\nHost 11 is interested in task 6.\nHost 5 is interested in task 5.\nHost 11 is interested in task 5.\nHost 11 is interested in task 0.\nHost 7 is interested in task 5.\nHost 10 is interested in task 7.\nHost 4 is interested in task 0.\nHost 1 is interested in task 4.\nHost 1 is interested in task 0.\nHost 11 is interested in task 2.\nHost 8 is interested in task 2.\nHost 2 is interested in task 5.\nHost 4 is interested in task 2.\nHost 10 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 3.\nHost 7 is interested in task 4.\nHost 0 is interested in task 7.\nHost 8 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 2.\nHost 10 is interested in task 2.\nHost 10 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 4.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 10 is interested in task 0.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 5 is interested in task 2.\nHost 3 is interested in task 7.\nHost 5 is interested in task 0.\nHost 11 is interested in task 1.\nHost 1 is interested in task 2.\nHost 9 is interested in task 4.\nHost 8 is interested in task 8.\nHost 10 is interested in task 3.\nHost 6 is interested in task 5.\nHost 10 is interested in task 6.\nHost 4 is interested in task 6.\nHost 11 is interested in task 8.\nHost 11 is interested in task 3.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 10 is interested in task 5.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph683", "image": "data/matching/graph_visual/hard/graph683.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 1 is interested in task 7.\nHost 9 is interested in task 1.\nHost 1 is interested in task 8.\nHost 8 is interested in task 0.\nHost 6 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 9.\nHost 5 is interested in task 10.\nHost 5 is interested in task 9.\nHost 0 is interested in task 9.\nHost 7 is interested in task 3.\nHost 12 is interested in task 8.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 7 is interested in task 6.\nHost 8 is interested in task 6.\nHost 8 is interested in task 5.\nHost 9 is interested in task 7.\nHost 8 is interested in task 2.\nHost 11 is interested in task 8.\nHost 7 is interested in task 4.\nHost 4 is interested in task 8.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 7 is interested in task 7.\nHost 5 is interested in task 6.\nHost 1 is interested in task 5.\nHost 3 is interested in task 2.\nHost 12 is interested in task 3.\nHost 10 is interested in task 6.\nHost 12 is interested in task 9.\nHost 12 is interested in task 1.\nHost 10 is interested in task 0.\nHost 3 is interested in task 0.\nHost 3 is interested in task 9.\nHost 6 is interested in task 0.\nHost 11 is interested in task 3.\nHost 5 is interested in task 7.\nHost 8 is interested in task 7.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1057", "image": "data/matching/graph_visual/hard/graph1057.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 7.\nHost 12 is interested in task 2.\nHost 14 is interested in task 3.\nHost 14 is interested in task 7.\nHost 12 is interested in task 3.\nHost 3 is interested in task 6.\nHost 0 is interested in task 1.\nHost 1 is interested in task 3.\nHost 8 is interested in task 4.\nHost 11 is interested in task 9.\nHost 1 is interested in task 5.\nHost 5 is interested in task 8.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 9 is interested in task 7.\nHost 11 is interested in task 1.\nHost 3 is interested in task 7.\nHost 2 is interested in task 5.\nHost 14 is interested in task 4.\nHost 12 is interested in task 6.\nHost 5 is interested in task 3.\nHost 9 is interested in task 1.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2.\nHost 7 is interested in task 1.\nHost 1 is interested in task 11.\nHost 13 is interested in task 0.\nHost 10 is interested in task 2.\nHost 9 is interested in task 2.\nHost 10 is interested in task 5.\nHost 8 is interested in task 11.\nHost 10 is interested in task 3.\nHost 7 is interested in task 3.\nHost 10 is interested in task 1.\nHost 14 is interested in task 8.\nHost 1 is interested in task 4.\nHost 10 is interested in task 0.\nHost 7 is interested in task 11.\nHost 1 is interested in task 9.\nHost 1 is interested in task 0.\nHost 4 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 9.\nHost 3 is interested in task 8.\nHost 13 is interested in task 5.\nHost 2 is interested in task 7.\nHost 10 is interested in task 11.\nHost 14 is interested in task 9.\nHost 7 is interested in task 10.\nHost 6 is interested in task 10.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 11.\nHost 13 is interested in task 9.\nHost 12 is interested in task 7.\nHost 2 is interested in task 9.\nHost 1 is interested in task 1.\nHost 10 is interested in task 8.\nHost 1 is interested in task 7.\nHost 10 is interested in task 6.\nHost 2 is interested in task 3.\nHost 9 is interested in task 0.\nHost 7 is interested in task 4.\nHost 11 is interested in task 6.\nHost 11 is interested in task 2.\nHost 10 is interested in task 9.\nHost 4 is interested in task 11.\nHost 4 is interested in task 10.\nHost 7 is interested in task 7.\nHost 9 is interested in task 11.\nHost 5 is interested in task 0.\nHost 13 is interested in task 7.\nHost 7 is interested in task 5.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph100", "image": "data/matching/graph_visual/hard/graph100.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 9.\nHost 8 is interested in task 7.\nHost 5 is interested in task 7.\nHost 8 is interested in task 8.\nHost 7 is interested in task 2.\nHost 1 is interested in task 4.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 5 is interested in task 2.\nHost 1 is interested in task 8.\nHost 4 is interested in task 8.\nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 9 is interested in task 2.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 5 is interested in task 3.\nHost 8 is interested in task 0.\nHost 8 is interested in task 3.\nHost 9 is interested in task 5.\nHost 2 is interested in task 0.\nHost 7 is interested in task 0.\nHost 3 is interested in task 7.\nHost 7 is interested in task 6.\nHost 3 is interested in task 8.\nHost 5 is interested in task 6.\nHost 6 is interested in task 1.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 8 is interested in task 5.\nHost 3 is interested in task 4.\nHost 8 is interested in task 4.\nHost 3 is interested in task 3.\nHost 7 is interested in task 7.\nHost 2 is interested in task 6.\nHost 2 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 6.\nHost 2 is interested in task 5.\nHost 4 is interested in task 3.\nHost 8 is interested in task 1.\nHost 4 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 9.\nHost 9 is interested in task 0.\nHost 4 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 4.\nHost 1 is interested in task 3.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph841", "image": "data/matching/graph_visual/hard/graph841.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 4 is interested in task 8.\nHost 12 is interested in task 2.\nHost 8 is interested in task 5.\nHost 4 is interested in task 1.\nHost 7 is interested in task 9.\nHost 3 is interested in task 2.\nHost 8 is interested in task 1.\nHost 8 is interested in task 3.\nHost 5 is interested in task 8.\nHost 2 is interested in task 8.\nHost 13 is interested in task 8.\nHost 1 is interested in task 6.\nHost 12 is interested in task 5.\nHost 9 is interested in task 2.\nHost 8 is interested in task 10.\nHost 1 is interested in task 7.\nHost 9 is interested in task 8.\nHost 2 is interested in task 2.\nHost 2 is interested in task 6.\nHost 11 is interested in task 7.\nHost 10 is interested in task 3.\nHost 0 is interested in task 2.\nHost 5 is interested in task 6.\nHost 6 is interested in task 4.\nHost 10 is interested in task 8.\nHost 3 is interested in task 4.\nHost 0 is interested in task 5.\nHost 13 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 1.\nHost 6 is interested in task 0.\nHost 9 is interested in task 10.\nHost 6 is interested in task 1.\nHost 1 is interested in task 10.\nHost 10 is interested in task 9.\nHost 7 is interested in task 8.\nHost 12 is interested in task 8.\nHost 8 is interested in task 6.\nHost 2 is interested in task 4.\nHost 13 is interested in task 3.\nHost 4 is interested in task 9.\nHost 9 is interested in task 6.\nHost 10 is interested in task 6.\nHost 4 is interested in task 10.\nHost 10 is interested in task 1.\nHost 6 is interested in task 10.\nHost 0 is interested in task 0.\nHost 6 is interested in task 9.\nHost 8 is interested in task 9.\nHost 5 is interested in task 5.\nHost 11 is interested in task 1.\nHost 5 is interested in task 10.\nHost 3 is interested in task 10.\nHost 9 is interested in task 0.\nHost 5 is interested in task 3.\nHost 2 is interested in task 5.\nHost 6 is interested in task 7.\nHost 4 is interested in task 5.\nHost 12 is interested in task 6.\nHost 2 is interested in task 9.\nHost 5 is interested in task 2.\nHost 13 is interested in task 7.\nHost 4 is interested in task 0.\nHost 2 is interested in task 10.\nHost 10 is interested in task 10.\nHost 8 is interested in task 4.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph427", "image": "data/matching/graph_visual/hard/graph427.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 8.\nHost 4 is interested in task 2.\nHost 0 is interested in task 6.\nHost 10 is interested in task 1.\nHost 9 is interested in task 6.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 1.\nHost 9 is interested in task 8.\nHost 5 is interested in task 0.\nHost 5 is interested in task 6.\nHost 11 is interested in task 5.\nHost 4 is interested in task 8.\nHost 6 is interested in task 3.\nHost 11 is interested in task 7.\nHost 7 is interested in task 5.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 8 is interested in task 6.\nHost 10 is interested in task 8.\nHost 1 is interested in task 6.\nHost 5 is interested in task 5.\nHost 9 is interested in task 0.\nHost 6 is interested in task 5.\nHost 3 is interested in task 4.\nHost 7 is interested in task 8.\nHost 2 is interested in task 0.\nHost 3 is interested in task 7.\nHost 10 is interested in task 5.\nHost 1 is interested in task 5.\nHost 3 is interested in task 8.\nHost 5 is interested in task 7.\nHost 10 is interested in task 2.\nHost 10 is interested in task 6.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 11 is interested in task 1.\nHost 8 is interested in task 7.\nHost 6 is interested in task 7.\nHost 0 is interested in task 3.\nHost 9 is interested in task 4.\nHost 11 is interested in task 2.\nHost 5 is interested in task 1.\nHost 9 is interested in task 5.\nHost 2 is interested in task 4.\nHost 9 is interested in task 3.\nHost 8 is interested in task 4.\nHost 0 is interested in task 7.\nHost 4 is interested in task 1.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 8.\nHost 3 is interested in task 6.\nHost 7 is interested in task 1.\nHost 7 is interested in task 2.\nHost 8 is interested in task 3.\nHost 7 is interested in task 6.\nHost 6 is interested in task 2.\nHost 11 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1101", "image": "data/matching/graph_visual/hard/graph1101.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 4 is interested in task 12.\nHost 5 is interested in task 3.\nHost 8 is interested in task 2.\nHost 14 is interested in task 0.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 11 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 5.\nHost 6 is interested in task 1.\nHost 7 is interested in task 11.\nHost 8 is interested in task 12.\nHost 7 is interested in task 1.\nHost 14 is interested in task 8.\nHost 12 is interested in task 12.\nHost 14 is interested in task 4.\nHost 0 is interested in task 3.\nHost 11 is interested in task 7.\nHost 14 is interested in task 3.\nHost 13 is interested in task 9.\nHost 0 is interested in task 1.\nHost 11 is interested in task 5.\nHost 0 is interested in task 8.\nHost 2 is interested in task 7.\nHost 14 is interested in task 9.\nHost 2 is interested in task 8.\nHost 14 is interested in task 7.\nHost 5 is interested in task 2.\nHost 14 is interested in task 2.\nHost 7 is interested in task 7.\nHost 3 is interested in task 4.\nHost 0 is interested in task 0.\nHost 12 is interested in task 4.\nHost 0 is interested in task 11.\nHost 2 is interested in task 10.\nHost 10 is interested in task 10.\nHost 7 is interested in task 12.\nHost 9 is interested in task 0.\nHost 12 is interested in task 1.\nHost 7 is interested in task 5.\nHost 12 is interested in task 0.\nHost 1 is interested in task 6.\nHost 2 is interested in task 4.\nHost 11 is interested in task 10.\nHost 5 is interested in task 7.\nHost 6 is interested in task 3.\nHost 6 is interested in task 5.\nHost 10 is interested in task 5.\nHost 8 is interested in task 9.\nHost 0 is interested in task 9.\nHost 6 is interested in task 2.\nHost 1 is interested in task 1.\nHost 5 is interested in task 12.\nHost 12 is interested in task 11.\nHost 4 is interested in task 11.\nHost 13 is interested in task 7.\nHost 9 is interested in task 1.\nHost 11 is interested in task 4.\nHost 9 is interested in task 4.\nHost 6 is interested in task 11.\nHost 3 is interested in task 9.\nHost 1 is interested in task 2.\nHost 6 is interested in task 0.\nHost 14 is interested in task 5.\nHost 9 is interested in task 10.\nHost 6 is interested in task 7.\nHost 9 is interested in task 7.\nHost 4 is interested in task 5.\nHost 13 is interested in task 10.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 14 is interested in task 6.\nHost 7 is interested in task 3.\nHost 6 is interested in task 8.\nHost 0 is interested in task 4.\nHost 12 is interested in task 3.\nHost 3 is interested in task 5.\nHost 12 is interested in task 7.\nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 11 is interested in task 8.\nHost 1 is interested in task 11.\nHost 13 is interested in task 3.\nHost 9 is interested in task 11.\nHost 1 is interested in task 3.\nHost 3 is interested in task 11.\nHost 4 is interested in task 9.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph210", "image": "data/matching/graph_visual/hard/graph210.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 8 is interested in task 7.\nHost 7 is interested in task 5.\nHost 3 is interested in task 1.\nHost 5 is interested in task 2.\nHost 8 is interested in task 2.\nHost 6 is interested in task 3.\nHost 5 is interested in task 0.\nHost 7 is interested in task 2.\nHost 5 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 5.\nHost 8 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 2.\nHost 7 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 7.\nHost 9 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 8 is interested in task 0.\nHost 5 is interested in task 7.\nHost 9 is interested in task 6.\nHost 10 is interested in task 7.\nHost 9 is interested in task 4.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 10 is interested in task 4.\nHost 0 is interested in task 1.\nHost 5 is interested in task 3.\nHost 7 is interested in task 6.\nHost 9 is interested in task 7.\nHost 7 is interested in task 4.\nHost 4 is interested in task 6.\nHost 4 is interested in task 5.\nHost 8 is interested in task 5.\nHost 5 is interested in task 1.\nHost 4 is interested in task 4.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph620", "image": "data/matching/graph_visual/hard/graph620.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 9 is interested in task 10.\nHost 2 is interested in task 9.\nHost 4 is interested in task 13.\nHost 8 is interested in task 1.\nHost 7 is interested in task 13.\nHost 4 is interested in task 1.\nHost 5 is interested in task 0.\nHost 8 is interested in task 12.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 0.\nHost 6 is interested in task 0.\nHost 4 is interested in task 10.\nHost 10 is interested in task 1.\nHost 7 is interested in task 8.\nHost 11 is interested in task 8.\nHost 3 is interested in task 14.\nHost 2 is interested in task 2.\nHost 11 is interested in task 10.\nHost 2 is interested in task 8.\nHost 7 is interested in task 14.\nHost 8 is interested in task 10.\nHost 10 is interested in task 7.\nHost 4 is interested in task 14.\nHost 8 is interested in task 8.\nHost 6 is interested in task 10.\nHost 4 is interested in task 12.\nHost 6 is interested in task 6.\nHost 11 is interested in task 0.\nHost 6 is interested in task 13.\nHost 9 is interested in task 6.\nHost 5 is interested in task 13.\nHost 1 is interested in task 1.\nHost 10 is interested in task 0.\nHost 11 is interested in task 3.\nHost 4 is interested in task 0.\nHost 4 is interested in task 6.\nHost 4 is interested in task 7.\nHost 4 is interested in task 9.\nHost 0 is interested in task 8.\nHost 8 is interested in task 2.\nHost 4 is interested in task 3.\nHost 7 is interested in task 1.\nHost 11 is interested in task 6.\nHost 0 is interested in task 6.\nHost 10 is interested in task 9.\nHost 10 is interested in task 14.\nHost 9 is interested in task 3.\nHost 5 is interested in task 2.\nHost 10 is interested in task 13.\nHost 7 is interested in task 2.\nHost 0 is interested in task 4.\nHost 11 is interested in task 14.\nHost 9 is interested in task 11.\nHost 3 is interested in task 9.\nHost 11 is interested in task 12.\nHost 11 is interested in task 2.\nHost 1 is interested in task 3.\nHost 2 is interested in task 14.\nHost 2 is interested in task 12.\nHost 3 is interested in task 2.\nHost 8 is interested in task 7.\nHost 1 is interested in task 0.\nHost 3 is interested in task 11.\nHost 8 is interested in task 3.\nHost 6 is interested in task 12.\nHost 6 is interested in task 5.\nHost 1 is interested in task 5.\nHost 5 is interested in task 1.\nHost 3 is interested in task 6.\nHost 6 is interested in task 8.\nHost 9 is interested in task 5.\nHost 3 is interested in task 1.\nHost 6 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1000", "image": "data/matching/graph_visual/hard/graph1000.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 11 is interested in task 11.\nHost 8 is interested in task 0.\nHost 6 is interested in task 9.\nHost 2 is interested in task 5.\nHost 13 is interested in task 5.\nHost 2 is interested in task 10.\nHost 10 is interested in task 15.\nHost 12 is interested in task 15.\nHost 5 is interested in task 0.\nHost 5 is interested in task 6.\nHost 6 is interested in task 7.\nHost 8 is interested in task 9.\nHost 1 is interested in task 2.\nHost 2 is interested in task 3.\nHost 12 is interested in task 13.\nHost 9 is interested in task 14.\nHost 7 is interested in task 5.\nHost 9 is interested in task 2.\nHost 6 is interested in task 15.\nHost 12 is interested in task 8.\nHost 7 is interested in task 12.\nHost 2 is interested in task 6.\nHost 13 is interested in task 11.\nHost 9 is interested in task 7.\nHost 9 is interested in task 10.\nHost 13 is interested in task 6.\nHost 0 is interested in task 14.\nHost 1 is interested in task 4.\nHost 5 is interested in task 15.\nHost 7 is interested in task 8.\nHost 10 is interested in task 2.\nHost 10 is interested in task 0.\nHost 9 is interested in task 3.\nHost 1 is interested in task 10.\nHost 4 is interested in task 13.\nHost 13 is interested in task 2.\nHost 9 is interested in task 8.\nHost 10 is interested in task 1.\nHost 1 is interested in task 8.\nHost 3 is interested in task 4.\nHost 8 is interested in task 3.\nHost 7 is interested in task 1.\nHost 9 is interested in task 1.\nHost 6 is interested in task 6.\nHost 10 is interested in task 7.\nHost 2 is interested in task 0.\nHost 13 is interested in task 1.\nHost 0 is interested in task 15.\nHost 13 is interested in task 7.\nHost 2 is interested in task 11.\nHost 5 is interested in task 14.\nHost 6 is interested in task 3.\nHost 10 is interested in task 13.\nHost 7 is interested in task 2.\nHost 13 is interested in task 14.\nHost 1 is interested in task 15.\nHost 7 is interested in task 3.\nHost 13 is interested in task 15.\nHost 5 is interested in task 12.\nHost 3 is interested in task 6.\nHost 2 is interested in task 7.\nHost 11 is interested in task 3.\nHost 2 is interested in task 8.\nHost 3 is interested in task 5.\nHost 7 is interested in task 4.\nHost 6 is interested in task 4.\nHost 6 is interested in task 10.\nHost 13 is interested in task 0.\nHost 5 is interested in task 10.\nHost 13 is interested in task 13.\nHost 6 is interested in task 14.\nHost 8 is interested in task 1.\nHost 4 is interested in task 12.\nHost 4 is interested in task 11.\nHost 3 is interested in task 9.\nHost 13 is interested in task 9.\nHost 10 is interested in task 3.\nHost 12 is interested in task 4.\nHost 0 is interested in task 3.\nHost 9 is interested in task 15.\nHost 10 is interested in task 12.\nHost 6 is interested in task 1.\nHost 7 is interested in task 13.\nHost 5 is interested in task 9.\nHost 5 is interested in task 8.\nHost 0 is interested in task 5.\nHost 3 is interested in task 14.\nHost 3 is interested in task 3.\nHost 7 is interested in task 6.\nHost 0 is interested in task 6.\nHost 1 is interested in task 13.\nHost 11 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph715", "image": "data/matching/graph_visual/hard/graph715.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 10 is interested in task 4.\nHost 3 is interested in task 1.\nHost 8 is interested in task 6.\nHost 7 is interested in task 7.\nHost 0 is interested in task 4.\nHost 11 is interested in task 1.\nHost 0 is interested in task 3.\nHost 12 is interested in task 10.\nHost 5 is interested in task 7.\nHost 2 is interested in task 3.\nHost 5 is interested in task 11.\nHost 10 is interested in task 6.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 9.\nHost 12 is interested in task 9.\nHost 6 is interested in task 11.\nHost 5 is interested in task 6.\nHost 7 is interested in task 6.\nHost 7 is interested in task 9.\nHost 5 is interested in task 9.\nHost 6 is interested in task 3.\nHost 6 is interested in task 4.\nHost 10 is interested in task 5.\nHost 10 is interested in task 10.\nHost 3 is interested in task 2.\nHost 4 is interested in task 3.\nHost 8 is interested in task 1.\nHost 9 is interested in task 11.\nHost 6 is interested in task 10.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9.\nHost 0 is interested in task 2.\nHost 5 is interested in task 1.\nHost 4 is interested in task 9.\nHost 4 is interested in task 1.\nHost 4 is interested in task 4.\nHost 6 is interested in task 2.\nHost 6 is interested in task 6.\nHost 12 is interested in task 1.\nHost 12 is interested in task 7.\nHost 10 is interested in task 9.\nHost 2 is interested in task 8.\nHost 8 is interested in task 10.\nHost 1 is interested in task 2.\nHost 6 is interested in task 9.\nHost 8 is interested in task 4.\nHost 2 is interested in task 1.\nHost 12 is interested in task 3.\nHost 4 is interested in task 11.\nHost 1 is interested in task 5.\nHost 11 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph979", "image": "data/matching/graph_visual/hard/graph979.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 10 is interested in task 10.\nHost 6 is interested in task 11.\nHost 6 is interested in task 12.\nHost 5 is interested in task 4.\nHost 10 is interested in task 4.\nHost 11 is interested in task 13.\nHost 6 is interested in task 1.\nHost 5 is interested in task 3.\nHost 11 is interested in task 2.\nHost 10 is interested in task 13.\nHost 1 is interested in task 6.\nHost 9 is interested in task 3.\nHost 4 is interested in task 0.\nHost 11 is interested in task 8.\nHost 12 is interested in task 2.\nHost 7 is interested in task 7.\nHost 13 is interested in task 5.\nHost 6 is interested in task 0.\nHost 1 is interested in task 4.\nHost 4 is interested in task 11.\nHost 7 is interested in task 4.\nHost 9 is interested in task 1.\nHost 11 is interested in task 4.\nHost 7 is interested in task 9.\nHost 6 is interested in task 3.\nHost 7 is interested in task 8.\nHost 0 is interested in task 13.\nHost 6 is interested in task 13.\nHost 13 is interested in task 14.\nHost 2 is interested in task 13.\nHost 6 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 4.\nHost 0 is interested in task 7.\nHost 6 is interested in task 10.\nHost 13 is interested in task 2.\nHost 11 is interested in task 12.\nHost 9 is interested in task 0.\nHost 9 is interested in task 13.\nHost 6 is interested in task 14.\nHost 1 is interested in task 14.\nHost 10 is interested in task 1.\nHost 9 is interested in task 6.\nHost 13 is interested in task 0.\nHost 1 is interested in task 2.\nHost 1 is interested in task 0.\nHost 10 is interested in task 2.\nHost 13 is interested in task 13.\nHost 12 is interested in task 7.\nHost 0 is interested in task 10.\nHost 9 is interested in task 14.\nHost 4 is interested in task 14.\nHost 9 is interested in task 5.\nHost 7 is interested in task 3.\nHost 10 is interested in task 14.\nHost 5 is interested in task 6.\nHost 13 is interested in task 4.\nHost 8 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 3.\nHost 4 is interested in task 12.\nHost 13 is interested in task 10.\nHost 3 is interested in task 8.\nHost 11 is interested in task 7.\nHost 2 is interested in task 2.\nHost 3 is interested in task 14.\nHost 10 is interested in task 9.\nHost 12 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1224", "image": "data/matching/graph_visual/hard/graph1224.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 9.\nHost 9 is interested in task 0.\nHost 11 is interested in task 10.\nHost 14 is interested in task 16.\nHost 11 is interested in task 0.\nHost 1 is interested in task 5.\nHost 14 is interested in task 15.\nHost 11 is interested in task 9.\nHost 9 is interested in task 4.\nHost 3 is interested in task 4.\nHost 8 is interested in task 10.\nHost 1 is interested in task 14.\nHost 14 is interested in task 7.\nHost 1 is interested in task 0.\nHost 7 is interested in task 11.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 6 is interested in task 10.\nHost 13 is interested in task 4.\nHost 3 is interested in task 14.\nHost 0 is interested in task 5.\nHost 10 is interested in task 9.\nHost 11 is interested in task 12.\nHost 9 is interested in task 2.\nHost 4 is interested in task 11.\nHost 7 is interested in task 5.\nHost 12 is interested in task 9.\nHost 0 is interested in task 9.\nHost 8 is interested in task 12.\nHost 1 is interested in task 15.\nHost 3 is interested in task 13.\nHost 11 is interested in task 6.\nHost 8 is interested in task 6.\nHost 0 is interested in task 10.\nHost 11 is interested in task 3.\nHost 6 is interested in task 2.\nHost 1 is interested in task 3.\nHost 6 is interested in task 12.\nHost 13 is interested in task 3.\nHost 12 is interested in task 16.\nHost 8 is interested in task 2.\nHost 11 is interested in task 14.\nHost 10 is interested in task 3.\nHost 4 is interested in task 16.\nHost 2 is interested in task 12.\nHost 0 is interested in task 15.\nHost 2 is interested in task 10.\nHost 0 is interested in task 1.\nHost 11 is interested in task 13.\nHost 14 is interested in task 13.\nHost 10 is interested in task 7.\nHost 6 is interested in task 7.\nHost 12 is interested in task 8.\nHost 7 is interested in task 2.\nHost 8 is interested in task 13.\nHost 13 is interested in task 1.\nHost 11 is interested in task 1.\nHost 7 is interested in task 14.\nHost 5 is interested in task 13.\nHost 11 is interested in task 16.\nHost 6 is interested in task 16.\nHost 6 is interested in task 4.\nHost 11 is interested in task 4.\nHost 0 is interested in task 12.\nHost 6 is interested in task 11.\nHost 11 is interested in task 11.\nHost 1 is interested in task 7.\nHost 13 is interested in task 6.\nHost 7 is interested in task 7.\nHost 12 is interested in task 12.\nHost 7 is interested in task 16.\nHost 8 is interested in task 3.\nHost 8 is interested in task 4.\nHost 8 is interested in task 9.\nHost 7 is interested in task 12.\nHost 9 is interested in task 15.\nHost 7 is interested in task 13.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 8.\nHost 2 is interested in task 1.\nHost 5 is interested in task 10.\nHost 0 is interested in task 13.\nHost 8 is interested in task 15.\nHost 2 is interested in task 5.\nHost 13 is interested in task 13.\nHost 13 is interested in task 12.\nHost 0 is interested in task 11.\nHost 14 is interested in task 4.\nHost 10 is interested in task 16.\nHost 10 is interested in task 8.\nHost 4 is interested in task 3.\nHost 14 is interested in task 14.\nHost 2 is interested in task 2.\nHost 3 is interested in task 12.\nHost 10 is interested in task 13.\nHost 10 is interested in task 10.\nHost 0 is interested in task 3.\nHost 10 is interested in task 14.\nHost 8 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph759", "image": "data/matching/graph_visual/hard/graph759.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 1 is interested in task 12.\nHost 3 is interested in task 4.\nHost 8 is interested in task 6.\nHost 10 is interested in task 10.\nHost 10 is interested in task 13.\nHost 3 is interested in task 2.\nHost 3 is interested in task 6.\nHost 9 is interested in task 12.\nHost 3 is interested in task 3.\nHost 11 is interested in task 5.\nHost 7 is interested in task 5.\nHost 4 is interested in task 6.\nHost 11 is interested in task 13.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 1 is interested in task 4.\nHost 7 is interested in task 3.\nHost 11 is interested in task 9.\nHost 0 is interested in task 4.\nHost 5 is interested in task 3.\nHost 12 is interested in task 1.\nHost 7 is interested in task 10.\nHost 11 is interested in task 11.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 8 is interested in task 12.\nHost 12 is interested in task 0.\nHost 5 is interested in task 7.\nHost 11 is interested in task 8.\nHost 9 is interested in task 10.\nHost 9 is interested in task 5.\nHost 11 is interested in task 4.\nHost 8 is interested in task 7.\nHost 8 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 11.\nHost 3 is interested in task 9.\nHost 2 is interested in task 12.\nHost 0 is interested in task 9.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 7 is interested in task 9.\nHost 3 is interested in task 10.\nHost 9 is interested in task 7.\nHost 0 is interested in task 5.\nHost 7 is interested in task 0.\nHost 1 is interested in task 6.\nHost 11 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 12 is interested in task 13.\nHost 0 is interested in task 8.\nHost 12 is interested in task 9.\nHost 2 is interested in task 1.\nHost 0 is interested in task 1.\nHost 6 is interested in task 12.\nHost 7 is interested in task 8.\nHost 12 is interested in task 12.\nHost 1 is interested in task 10.\nHost 4 is interested in task 3.\nHost 2 is interested in task 8.\nHost 0 is interested in task 12.\nHost 7 is interested in task 13.\nHost 1 is interested in task 13.\nHost 3 is interested in task 12.\nHost 3 is interested in task 1.\nHost 11 is interested in task 12.\nHost 6 is interested in task 5.\nHost 6 is interested in task 11.\nHost 8 is interested in task 8.\nHost 4 is interested in task 13.\nHost 2 is interested in task 5.\nHost 10 is interested in task 8.\nHost 7 is interested in task 1.\nHost 6 is interested in task 13.\nHost 5 is interested in task 8.\nHost 6 is interested in task 8.\nHost 10 is interested in task 11.\nHost 12 is interested in task 6.\nHost 10 is interested in task 6.\nHost 6 is interested in task 1.\nHost 9 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph803", "image": "data/matching/graph_visual/hard/graph803.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 14.\nHost 5 is interested in task 8.\nHost 10 is interested in task 14.\nHost 6 is interested in task 14.\nHost 7 is interested in task 14.\nHost 8 is interested in task 0.\nHost 8 is interested in task 6.\nHost 8 is interested in task 11.\nHost 11 is interested in task 6.\nHost 4 is interested in task 9.\nHost 1 is interested in task 10.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 9 is interested in task 11.\nHost 6 is interested in task 1.\nHost 10 is interested in task 12.\nHost 10 is interested in task 5.\nHost 3 is interested in task 14.\nHost 8 is interested in task 14.\nHost 11 is interested in task 11.\nHost 1 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 12.\nHost 9 is interested in task 3.\nHost 4 is interested in task 2.\nHost 0 is interested in task 13.\nHost 1 is interested in task 11.\nHost 7 is interested in task 1.\nHost 12 is interested in task 1.\nHost 2 is interested in task 8.\nHost 2 is interested in task 10.\nHost 10 is interested in task 9.\nHost 5 is interested in task 7.\nHost 0 is interested in task 4.\nHost 2 is interested in task 14.\nHost 1 is interested in task 13.\nHost 3 is interested in task 9.\nHost 9 is interested in task 7.\nHost 1 is interested in task 3.\nHost 4 is interested in task 13.\nHost 6 is interested in task 11.\nHost 3 is interested in task 4.\nHost 9 is interested in task 5.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 5.\nHost 10 is interested in task 2.\nHost 10 is interested in task 0.\nHost 1 is interested in task 0.\nHost 8 is interested in task 1.\nHost 3 is interested in task 8.\nHost 7 is interested in task 5.\nHost 2 is interested in task 11.\nHost 2 is interested in task 5.\nHost 0 is interested in task 3.\nHost 5 is interested in task 14.\nHost 6 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 13.\nHost 5 is interested in task 13.\nHost 5 is interested in task 12.\nHost 4 is interested in task 1.\nHost 9 is interested in task 10.\nHost 12 is interested in task 12.\nHost 3 is interested in task 12.\nHost 12 is interested in task 10.\nHost 9 is interested in task 0.\nHost 1 is interested in task 14.\nHost 11 is interested in task 8.\nHost 0 is interested in task 1.\nHost 12 is interested in task 11.\nHost 11 is interested in task 9.\nHost 0 is interested in task 9.\nHost 4 is interested in task 7.\nHost 4 is interested in task 11.\nHost 11 is interested in task 5.\nHost 5 is interested in task 1.\nHost 1 is interested in task 1.\nHost 10 is interested in task 8.\nHost 0 is interested in task 10.\nHost 3 is interested in task 11.\nHost 9 is interested in task 2.\nHost 2 is interested in task 0.\nHost 10 is interested in task 11.\nHost 1 is interested in task 12.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1056", "image": "data/matching/graph_visual/hard/graph1056.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 1 is interested in task 10.\nHost 6 is interested in task 6.\nHost 10 is interested in task 8.\nHost 4 is interested in task 5.\nHost 10 is interested in task 7.\nHost 10 is interested in task 1.\nHost 9 is interested in task 6.\nHost 6 is interested in task 5.\nHost 11 is interested in task 8.\nHost 11 is interested in task 11.\nHost 3 is interested in task 9.\nHost 14 is interested in task 8.\nHost 14 is interested in task 5.\nHost 0 is interested in task 9.\nHost 7 is interested in task 6.\nHost 0 is interested in task 7.\nHost 1 is interested in task 9.\nHost 3 is interested in task 10.\nHost 13 is interested in task 6.\nHost 7 is interested in task 2.\nHost 6 is interested in task 3.\nHost 13 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 7.\nHost 3 is interested in task 1.\nHost 13 is interested in task 7.\nHost 10 is interested in task 11.\nHost 10 is interested in task 0.\nHost 1 is interested in task 7.\nHost 8 is interested in task 6.\nHost 6 is interested in task 4.\nHost 13 is interested in task 9.\nHost 10 is interested in task 3.\nHost 10 is interested in task 9.\nHost 7 is interested in task 10.\nHost 3 is interested in task 0.\nHost 8 is interested in task 9.\nHost 6 is interested in task 2.\nHost 3 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 0.\nHost 12 is interested in task 7.\nHost 14 is interested in task 1.\nHost 7 is interested in task 0.\nHost 6 is interested in task 11.\nHost 7 is interested in task 7.\nHost 14 is interested in task 6.\nHost 11 is interested in task 1.\nHost 0 is interested in task 6.\nHost 1 is interested in task 3.\nHost 6 is interested in task 1.\nHost 0 is interested in task 1.\nHost 6 is interested in task 10.\nHost 4 is interested in task 1.\nHost 10 is interested in task 6.\nHost 13 is interested in task 10.\nHost 0 is interested in task 0.\nHost 5 is interested in task 0.\nHost 11 is interested in task 3.\nHost 8 is interested in task 5.\nHost 8 is interested in task 8.\nHost 1 is interested in task 0.\nHost 3 is interested in task 2.\nHost 11 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph950", "image": "data/matching/graph_visual/hard/graph950.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 4.\nHost 13 is interested in task 1.\nHost 12 is interested in task 5.\nHost 3 is interested in task 12.\nHost 12 is interested in task 8.\nHost 13 is interested in task 12.\nHost 12 is interested in task 4.\nHost 0 is interested in task 9.\nHost 9 is interested in task 10.\nHost 8 is interested in task 3.\nHost 6 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 5.\nHost 11 is interested in task 6.\nHost 3 is interested in task 1.\nHost 2 is interested in task 9.\nHost 4 is interested in task 9.\nHost 13 is interested in task 11.\nHost 4 is interested in task 7.\nHost 8 is interested in task 1.\nHost 1 is interested in task 12.\nHost 13 is interested in task 4.\nHost 8 is interested in task 2.\nHost 13 is interested in task 5.\nHost 5 is interested in task 7.\nHost 9 is interested in task 1.\nHost 10 is interested in task 5.\nHost 7 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 0.\nHost 0 is interested in task 3.\nHost 13 is interested in task 6.\nHost 12 is interested in task 1.\nHost 8 is interested in task 7.\nHost 6 is interested in task 11.\nHost 9 is interested in task 12.\nHost 3 is interested in task 4.\nHost 6 is interested in task 12.\nHost 10 is interested in task 0.\nHost 11 is interested in task 9.\nHost 11 is interested in task 4.\nHost 11 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 7.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 3 is interested in task 11.\nHost 0 is interested in task 2.\nHost 9 is interested in task 8.\nHost 3 is interested in task 10.\nHost 1 is interested in task 13.\nHost 9 is interested in task 5.\nHost 9 is interested in task 2.\nHost 2 is interested in task 10.\nHost 11 is interested in task 11.\nHost 12 is interested in task 0.\nHost 3 is interested in task 5.\nHost 4 is interested in task 12.\nHost 9 is interested in task 11.\nHost 12 is interested in task 9.\nHost 7 is interested in task 3.\nHost 0 is interested in task 1.\nHost 0 is interested in task 13.\nHost 11 is interested in task 0.\nHost 2 is interested in task 13.\nHost 3 is interested in task 13.\nHost 9 is interested in task 9.\nHost 13 is interested in task 10.\nHost 7 is interested in task 11.\nHost 9 is interested in task 6.\nHost 13 is interested in task 7.\nHost 8 is interested in task 11.\nHost 4 is interested in task 13.\nHost 13 is interested in task 2.\nHost 1 is interested in task 3.\nHost 10 is interested in task 10.\nHost 11 is interested in task 13.\nHost 2 is interested in task 8.\nHost 0 is interested in task 4.\nHost 9 is interested in task 13.\nHost 7 is interested in task 12.\nHost 8 is interested in task 13.\nHost 11 is interested in task 8.\nHost 1 is interested in task 7.\nHost 13 is interested in task 13.\nHost 0 is interested in task 12.\nHost 13 is interested in task 3.\nHost 8 is interested in task 8.\nHost 3 is interested in task 9.\nHost 4 is interested in task 5.\nHost 9 is interested in task 4.\nHost 12 is interested in task 10.\nHost 8 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph366", "image": "data/matching/graph_visual/hard/graph366.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 10.\nHost 6 is interested in task 1.\nHost 4 is interested in task 7.\nHost 2 is interested in task 9.\nHost 8 is interested in task 6.\nHost 7 is interested in task 9.\nHost 9 is interested in task 2.\nHost 5 is interested in task 6.\nHost 0 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 8.\nHost 5 is interested in task 7.\nHost 1 is interested in task 12.\nHost 7 is interested in task 10.\nHost 3 is interested in task 11.\nHost 3 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 12.\nHost 10 is interested in task 5.\nHost 4 is interested in task 8.\nHost 7 is interested in task 1.\nHost 4 is interested in task 0.\nHost 0 is interested in task 0.\nHost 10 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 9.\nHost 1 is interested in task 10.\nHost 5 is interested in task 11.\nHost 5 is interested in task 12.\nHost 8 is interested in task 7.\nHost 5 is interested in task 9.\nHost 9 is interested in task 0.\nHost 0 is interested in task 2.\nHost 8 is interested in task 5.\nHost 10 is interested in task 12.\nHost 1 is interested in task 1.\nHost 5 is interested in task 0.\nHost 6 is interested in task 5.\nHost 4 is interested in task 11.\nHost 1 is interested in task 2.\nHost 6 is interested in task 11.\nHost 4 is interested in task 2.\nHost 1 is interested in task 11.\nHost 8 is interested in task 1.\nHost 8 is interested in task 10.\nHost 3 is interested in task 3.\nHost 9 is interested in task 1.\nHost 8 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1217", "image": "data/matching/graph_visual/hard/graph1217.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 16.\nHost 12 is interested in task 14.\nHost 2 is interested in task 0.\nHost 4 is interested in task 14.\nHost 4 is interested in task 13.\nHost 1 is interested in task 14.\nHost 2 is interested in task 15.\nHost 11 is interested in task 4.\nHost 11 is interested in task 8.\nHost 3 is interested in task 0.\nHost 13 is interested in task 0.\nHost 4 is interested in task 4.\nHost 6 is interested in task 5.\nHost 11 is interested in task 10.\nHost 13 is interested in task 12.\nHost 11 is interested in task 9.\nHost 5 is interested in task 3.\nHost 1 is interested in task 10.\nHost 0 is interested in task 8.\nHost 0 is interested in task 3.\nHost 7 is interested in task 10.\nHost 13 is interested in task 8.\nHost 5 is interested in task 15.\nHost 2 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 11.\nHost 0 is interested in task 2.\nHost 1 is interested in task 7.\nHost 9 is interested in task 9.\nHost 3 is interested in task 7.\nHost 1 is interested in task 3.\nHost 6 is interested in task 9.\nHost 9 is interested in task 0.\nHost 3 is interested in task 9.\nHost 13 is interested in task 7.\nHost 10 is interested in task 11.\nHost 2 is interested in task 13.\nHost 5 is interested in task 9.\nHost 5 is interested in task 10.\nHost 13 is interested in task 14.\nHost 0 is interested in task 1.\nHost 8 is interested in task 10.\nHost 7 is interested in task 2.\nHost 2 is interested in task 7.\nHost 9 is interested in task 15.\nHost 0 is interested in task 7.\nHost 3 is interested in task 16.\nHost 12 is interested in task 1.\nHost 13 is interested in task 3.\nHost 7 is interested in task 9.\nHost 2 is interested in task 1.\nHost 12 is interested in task 10.\nHost 1 is interested in task 0.\nHost 13 is interested in task 1.\nHost 11 is interested in task 5.\nHost 9 is interested in task 10.\nHost 13 is interested in task 4.\nHost 3 is interested in task 14.\nHost 10 is interested in task 2.\nHost 14 is interested in task 8.\nHost 10 is interested in task 9.\nHost 1 is interested in task 4.\nHost 4 is interested in task 15.\nHost 10 is interested in task 14.\nHost 2 is interested in task 6.\nHost 11 is interested in task 14.\nHost 11 is interested in task 16.\nHost 11 is interested in task 15.\nHost 8 is interested in task 8.\nHost 0 is interested in task 16.\nHost 7 is interested in task 12.\nHost 13 is interested in task 10.\nHost 5 is interested in task 5.\nHost 8 is interested in task 3.\nHost 3 is interested in task 6.\nHost 13 is interested in task 5.\nHost 2 is interested in task 16.\nHost 1 is interested in task 16.\nHost 2 is interested in task 2.\nHost 14 is interested in task 13.\nHost 8 is interested in task 4.\nHost 4 is interested in task 9.\nHost 10 is interested in task 13.\nHost 3 is interested in task 4.\nHost 9 is interested in task 16.\nHost 0 is interested in task 10.\nHost 9 is interested in task 4.\nHost 8 is interested in task 14.\nHost 9 is interested in task 2.\nHost 1 is interested in task 11.\nHost 5 is interested in task 13.\nHost 1 is interested in task 15.\nHost 7 is interested in task 14.\nHost 3 is interested in task 8.\nHost 2 is interested in task 9.\nHost 14 is interested in task 4.\nHost 8 is interested in task 15.\nHost 0 is interested in task 6.\nHost 2 is interested in task 3.\nHost 12 is interested in task 7.\nHost 7 is interested in task 5.\nHost 11 is interested in task 13.\nHost 4 is interested in task 10.\nHost 0 is interested in task 0.\nHost 8 is interested in task 0.\nHost 0 is interested in task 12.\nHost 3 is interested in task 15.\nHost 4 is interested in task 6.\nHost 13 is interested in task 11.\nHost 2 is interested in task 12.\nHost 4 is interested in task 11.\nHost 10 is interested in task 6.\nHost 11 is interested in task 0.\nHost 13 is interested in task 15.\nHost 9 is interested in task 5.\nHost 9 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph260", "image": "data/matching/graph_visual/hard/graph260.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 9 is interested in task 1.\nHost 6 is interested in task 3.\nHost 3 is interested in task 4.\nHost 10 is interested in task 6.\nHost 7 is interested in task 3.\nHost 8 is interested in task 5.\nHost 4 is interested in task 7.\nHost 4 is interested in task 3.\nHost 9 is interested in task 8.\nHost 9 is interested in task 2.\nHost 1 is interested in task 7.\nHost 8 is interested in task 4.\nHost 2 is interested in task 7.\nHost 10 is interested in task 8.\nHost 7 is interested in task 2.\nHost 9 is interested in task 0.\nHost 9 is interested in task 6.\nHost 7 is interested in task 6.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 5 is interested in task 8.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 10 is interested in task 4.\nHost 3 is interested in task 6.\nHost 0 is interested in task 3.\nHost 10 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 4.\nHost 8 is interested in task 2.\nHost 7 is interested in task 7.\nHost 9 is interested in task 7.\nHost 8 is interested in task 3.\nHost 6 is interested in task 0.\nHost 1 is interested in task 8.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 4.\nHost 2 is interested in task 5.\nHost 6 is interested in task 8.\nHost 1 is interested in task 4.\nHost 6 is interested in task 4.\nHost 2 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 9 is interested in task 4.\nHost 10 is interested in task 5.\nHost 2 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph763", "image": "data/matching/graph_visual/hard/graph763.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 4 is interested in task 11.\nHost 3 is interested in task 9.\nHost 2 is interested in task 10.\nHost 6 is interested in task 0.\nHost 8 is interested in task 12.\nHost 5 is interested in task 10.\nHost 0 is interested in task 7.\nHost 10 is interested in task 9.\nHost 0 is interested in task 5.\nHost 3 is interested in task 12.\nHost 11 is interested in task 10.\nHost 8 is interested in task 7.\nHost 0 is interested in task 1.\nHost 10 is interested in task 10.\nHost 3 is interested in task 5.\nHost 6 is interested in task 13.\nHost 5 is interested in task 12.\nHost 2 is interested in task 8.\nHost 10 is interested in task 11.\nHost 5 is interested in task 8.\nHost 3 is interested in task 11.\nHost 1 is interested in task 5.\nHost 1 is interested in task 13.\nHost 0 is interested in task 12.\nHost 4 is interested in task 0.\nHost 3 is interested in task 2.\nHost 10 is interested in task 8.\nHost 6 is interested in task 9.\nHost 10 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 7 is interested in task 12.\nHost 4 is interested in task 7.\nHost 9 is interested in task 3.\nHost 7 is interested in task 8.\nHost 8 is interested in task 13.\nHost 6 is interested in task 3.\nHost 5 is interested in task 9.\nHost 0 is interested in task 9.\nHost 0 is interested in task 11.\nHost 2 is interested in task 4.\nHost 8 is interested in task 3.\nHost 8 is interested in task 4.\nHost 6 is interested in task 12.\nHost 9 is interested in task 13.\nHost 11 is interested in task 8.\nHost 7 is interested in task 2.\nHost 1 is interested in task 6.\nHost 3 is interested in task 8.\nHost 7 is interested in task 10.\nHost 2 is interested in task 1.\nHost 10 is interested in task 13.\nHost 8 is interested in task 1.\nHost 10 is interested in task 2.\nHost 3 is interested in task 4.\nHost 8 is interested in task 11.\nHost 1 is interested in task 1.\nHost 1 is interested in task 4.\nHost 12 is interested in task 12.\nHost 6 is interested in task 7.\nHost 4 is interested in task 10.\nHost 8 is interested in task 8.\nHost 3 is interested in task 13.\nHost 8 is interested in task 5.\nHost 2 is interested in task 11.\nHost 5 is interested in task 1.\nHost 4 is interested in task 8.\nHost 7 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph608", "image": "data/matching/graph_visual/hard/graph608.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 3 is interested in task 4.\nHost 10 is interested in task 12.\nHost 4 is interested in task 1.\nHost 10 is interested in task 1.\nHost 2 is interested in task 3.\nHost 11 is interested in task 1.\nHost 10 is interested in task 13.\nHost 4 is interested in task 13.\nHost 0 is interested in task 11.\nHost 10 is interested in task 0.\nHost 6 is interested in task 9.\nHost 7 is interested in task 12.\nHost 0 is interested in task 3.\nHost 1 is interested in task 9.\nHost 4 is interested in task 2.\nHost 3 is interested in task 7.\nHost 10 is interested in task 5.\nHost 3 is interested in task 0.\nHost 1 is interested in task 1.\nHost 11 is interested in task 8.\nHost 7 is interested in task 11.\nHost 6 is interested in task 4.\nHost 0 is interested in task 5.\nHost 11 is interested in task 0.\nHost 11 is interested in task 3.\nHost 0 is interested in task 4.\nHost 3 is interested in task 5.\nHost 9 is interested in task 10.\nHost 8 is interested in task 4.\nHost 0 is interested in task 12.\nHost 11 is interested in task 12.\nHost 1 is interested in task 8.\nHost 1 is interested in task 11.\nHost 3 is interested in task 10.\nHost 3 is interested in task 14.\nHost 7 is interested in task 0.\nHost 5 is interested in task 5.\nHost 7 is interested in task 4.\nHost 1 is interested in task 6.\nHost 5 is interested in task 12.\nHost 0 is interested in task 9.\nHost 8 is interested in task 11.\nHost 8 is interested in task 7.\nHost 1 is interested in task 4.\nHost 5 is interested in task 10.\nHost 5 is interested in task 11.\nHost 4 is interested in task 9.\nHost 11 is interested in task 7.\nHost 6 is interested in task 12.\nHost 7 is interested in task 6.\nHost 0 is interested in task 7.\nHost 4 is interested in task 11.\nHost 5 is interested in task 1.\nHost 5 is interested in task 14.\nHost 3 is interested in task 9.\nHost 3 is interested in task 6.\nHost 1 is interested in task 12.\nHost 1 is interested in task 13.\nHost 5 is interested in task 9.\nHost 6 is interested in task 5.\nHost 5 is interested in task 6.\nHost 11 is interested in task 4.\nHost 10 is interested in task 8.\nHost 2 is interested in task 1.\nHost 2 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 0.\nHost 10 is interested in task 2.\nHost 5 is interested in task 2.\nHost 3 is interested in task 8.\nHost 6 is interested in task 8.\nHost 8 is interested in task 9.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph934", "image": "data/matching/graph_visual/hard/graph934.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 10 is interested in task 9.\nHost 5 is interested in task 9.\nHost 11 is interested in task 10.\nHost 4 is interested in task 1.\nHost 11 is interested in task 3.\nHost 10 is interested in task 11.\nHost 13 is interested in task 2.\nHost 8 is interested in task 3.\nHost 0 is interested in task 5.\nHost 9 is interested in task 1.\nHost 11 is interested in task 2.\nHost 10 is interested in task 12.\nHost 13 is interested in task 11.\nHost 1 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 8.\nHost 2 is interested in task 10.\nHost 6 is interested in task 0.\nHost 9 is interested in task 13.\nHost 4 is interested in task 0.\nHost 7 is interested in task 8.\nHost 13 is interested in task 5.\nHost 10 is interested in task 2.\nHost 6 is interested in task 13.\nHost 8 is interested in task 5.\nHost 3 is interested in task 8.\nHost 4 is interested in task 10.\nHost 9 is interested in task 9.\nHost 3 is interested in task 2.\nHost 7 is interested in task 10.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 8 is interested in task 13.\nHost 3 is interested in task 10.\nHost 9 is interested in task 3.\nHost 5 is interested in task 8.\nHost 10 is interested in task 13.\nHost 9 is interested in task 6.\nHost 13 is interested in task 12.\nHost 9 is interested in task 7.\nHost 11 is interested in task 13.\nHost 10 is interested in task 7.\nHost 13 is interested in task 0.\nHost 0 is interested in task 2.\nHost 13 is interested in task 13.\nHost 0 is interested in task 0.\nHost 8 is interested in task 11.\nHost 0 is interested in task 4.\nHost 11 is interested in task 11.\nHost 9 is interested in task 10.\nHost 1 is interested in task 11.\nHost 1 is interested in task 10.\nHost 8 is interested in task 1.\nHost 1 is interested in task 4.\nHost 7 is interested in task 12.\nHost 10 is interested in task 6.\nHost 3 is interested in task 13.\nHost 11 is interested in task 6.\nHost 4 is interested in task 13.\nHost 9 is interested in task 4.\nHost 4 is interested in task 12.\nHost 4 is interested in task 7.\nHost 11 is interested in task 5.\nHost 10 is interested in task 5.\nHost 7 is interested in task 1.\nHost 12 is interested in task 2.\nHost 6 is interested in task 11.\nHost 9 is interested in task 12.\nHost 1 is interested in task 7.\nHost 11 is interested in task 4.\nHost 10 is interested in task 4.\nHost 11 is interested in task 8.\nHost 2 is interested in task 2.\nHost 1 is interested in task 9.\nHost 7 is interested in task 2.\nHost 7 is interested in task 3.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 13 is interested in task 1.\nHost 6 is interested in task 10.\nHost 2 is interested in task 4.\nHost 1 is interested in task 8.\nHost 4 is interested in task 5.\nHost 3 is interested in task 6.\nHost 0 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph859", "image": "data/matching/graph_visual/hard/graph859.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 10 is interested in task 4.\nHost 8 is interested in task 6.\nHost 3 is interested in task 9.\nHost 1 is interested in task 7.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 5 is interested in task 10.\nHost 13 is interested in task 0.\nHost 5 is interested in task 4.\nHost 10 is interested in task 5.\nHost 12 is interested in task 1.\nHost 2 is interested in task 4.\nHost 6 is interested in task 1.\nHost 3 is interested in task 4.\nHost 9 is interested in task 10.\nHost 6 is interested in task 5.\nHost 12 is interested in task 6.\nHost 12 is interested in task 8.\nHost 10 is interested in task 8.\nHost 6 is interested in task 9.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 11 is interested in task 5.\nHost 9 is interested in task 6.\nHost 3 is interested in task 5.\nHost 12 is interested in task 2.\nHost 13 is interested in task 2.\nHost 2 is interested in task 10.\nHost 12 is interested in task 10.\nHost 3 is interested in task 3.\nHost 13 is interested in task 5.\nHost 8 is interested in task 9.\nHost 5 is interested in task 6.\nHost 10 is interested in task 0.\nHost 10 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 5 is interested in task 5.\nHost 8 is interested in task 4.\nHost 6 is interested in task 4.\nHost 8 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 9 is interested in task 3.\nHost 3 is interested in task 10.\nHost 11 is interested in task 3.\nHost 10 is interested in task 2.\nHost 10 is interested in task 9.\nHost 1 is interested in task 8.\nHost 7 is interested in task 8.\nHost 9 is interested in task 8.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 4 is interested in task 9.\nHost 12 is interested in task 7.\nHost 9 is interested in task 1.\nHost 11 is interested in task 6.\nHost 4 is interested in task 2.\nHost 11 is interested in task 9.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph577", "image": "data/matching/graph_visual/hard/graph577.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 1 is interested in task 1.\nHost 2 is interested in task 5.\nHost 6 is interested in task 4.\nHost 10 is interested in task 10.\nHost 7 is interested in task 10.\nHost 3 is interested in task 10.\nHost 6 is interested in task 13.\nHost 2 is interested in task 2.\nHost 10 is interested in task 8.\nHost 0 is interested in task 0.\nHost 8 is interested in task 9.\nHost 9 is interested in task 9.\nHost 2 is interested in task 7.\nHost 3 is interested in task 6.\nHost 9 is interested in task 4.\nHost 1 is interested in task 13.\nHost 9 is interested in task 7.\nHost 9 is interested in task 1.\nHost 8 is interested in task 7.\nHost 1 is interested in task 2.\nHost 9 is interested in task 8.\nHost 7 is interested in task 9.\nHost 11 is interested in task 12.\nHost 5 is interested in task 10.\nHost 6 is interested in task 8.\nHost 3 is interested in task 8.\nHost 5 is interested in task 11.\nHost 7 is interested in task 6.\nHost 5 is interested in task 0.\nHost 0 is interested in task 6.\nHost 9 is interested in task 13.\nHost 11 is interested in task 3.\nHost 8 is interested in task 5.\nHost 10 is interested in task 4.\nHost 8 is interested in task 3.\nHost 11 is interested in task 4.\nHost 0 is interested in task 4.\nHost 5 is interested in task 3.\nHost 3 is interested in task 12.\nHost 5 is interested in task 7.\nHost 5 is interested in task 4.\nHost 6 is interested in task 7.\nHost 2 is interested in task 6.\nHost 2 is interested in task 9.\nHost 0 is interested in task 5.\nHost 2 is interested in task 1.\nHost 11 is interested in task 9.\nHost 0 is interested in task 1.\nHost 11 is interested in task 2.\nHost 4 is interested in task 8.\nHost 0 is interested in task 7.\nHost 11 is interested in task 8.\nHost 7 is interested in task 12.\nHost 3 is interested in task 3.\nHost 5 is interested in task 12.\nHost 8 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph297", "image": "data/matching/graph_visual/hard/graph297.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 5 is interested in task 6.\nHost 10 is interested in task 7.\nHost 10 is interested in task 0.\nHost 3 is interested in task 6.\nHost 0 is interested in task 8.\nHost 5 is interested in task 7.\nHost 6 is interested in task 0.\nHost 8 is interested in task 6.\nHost 7 is interested in task 9.\nHost 8 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 1.\nHost 8 is interested in task 1.\nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 4 is interested in task 5.\nHost 9 is interested in task 9.\nHost 6 is interested in task 2.\nHost 7 is interested in task 3.\nHost 5 is interested in task 5.\nHost 0 is interested in task 2.\nHost 10 is interested in task 2.\nHost 6 is interested in task 3.\nHost 0 is interested in task 0.\nHost 8 is interested in task 9.\nHost 8 is interested in task 8.\nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 10 is interested in task 3.\nHost 9 is interested in task 6.\nHost 3 is interested in task 4.\nHost 4 is interested in task 2.\nHost 10 is interested in task 9.\nHost 10 is interested in task 1.\nHost 8 is interested in task 3.\nHost 5 is interested in task 3.\nHost 6 is interested in task 6.\nHost 8 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 6 is interested in task 1.\nHost 7 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1132", "image": "data/matching/graph_visual/hard/graph1132.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 6.\nHost 11 is interested in task 5.\nHost 4 is interested in task 6.\nHost 9 is interested in task 0.\nHost 8 is interested in task 9.\nHost 13 is interested in task 3.\nHost 0 is interested in task 8.\nHost 11 is interested in task 0.\nHost 12 is interested in task 11.\nHost 11 is interested in task 10.\nHost 12 is interested in task 8.\nHost 9 is interested in task 3.\nHost 9 is interested in task 6.\nHost 3 is interested in task 5.\nHost 1 is interested in task 12.\nHost 10 is interested in task 4.\nHost 8 is interested in task 10.\nHost 5 is interested in task 12.\nHost 8 is interested in task 3.\nHost 10 is interested in task 1.\nHost 14 is interested in task 8.\nHost 9 is interested in task 10.\nHost 6 is interested in task 7.\nHost 11 is interested in task 13.\nHost 7 is interested in task 3.\nHost 3 is interested in task 12.\nHost 13 is interested in task 8.\nHost 14 is interested in task 6.\nHost 5 is interested in task 2.\nHost 10 is interested in task 13.\nHost 6 is interested in task 5.\nHost 6 is interested in task 11.\nHost 3 is interested in task 8.\nHost 1 is interested in task 3.\nHost 6 is interested in task 4.\nHost 13 is interested in task 5.\nHost 5 is interested in task 4.\nHost 11 is interested in task 8.\nHost 14 is interested in task 0.\nHost 10 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 6.\nHost 2 is interested in task 9.\nHost 2 is interested in task 6.\nHost 5 is interested in task 7.\nHost 14 is interested in task 11.\nHost 9 is interested in task 7.\nHost 5 is interested in task 9.\nHost 2 is interested in task 7.\nHost 6 is interested in task 6.\nHost 11 is interested in task 2.\nHost 5 is interested in task 8.\nHost 14 is interested in task 5.\nHost 12 is interested in task 12.\nHost 11 is interested in task 11.\nHost 13 is interested in task 1.\nHost 8 is interested in task 1.\nHost 9 is interested in task 12.\nHost 8 is interested in task 13.\nHost 5 is interested in task 5.\nHost 8 is interested in task 6.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 12 is interested in task 9.\nHost 3 is interested in task 7.\nHost 6 is interested in task 0.\nHost 4 is interested in task 12.\nHost 11 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph415", "image": "data/matching/graph_visual/hard/graph415.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 9.\nHost 8 is interested in task 9.\nHost 5 is interested in task 10.\nHost 4 is interested in task 13.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3.\nHost 3 is interested in task 8.\nHost 2 is interested in task 11.\nHost 7 is interested in task 1.\nHost 4 is interested in task 12.\nHost 7 is interested in task 12.\nHost 3 is interested in task 13.\nHost 9 is interested in task 7.\nHost 9 is interested in task 12.\nHost 7 is interested in task 13.\nHost 5 is interested in task 3.\nHost 8 is interested in task 8.\nHost 9 is interested in task 3.\nHost 3 is interested in task 4.\nHost 6 is interested in task 6.\nHost 7 is interested in task 5.\nHost 1 is interested in task 8.\nHost 8 is interested in task 10.\nHost 9 is interested in task 0.\nHost 8 is interested in task 5.\nHost 5 is interested in task 13.\nHost 0 is interested in task 10.\nHost 2 is interested in task 4.\nHost 10 is interested in task 0.\nHost 0 is interested in task 9.\nHost 3 is interested in task 5.\nHost 9 is interested in task 2.\nHost 7 is interested in task 0.\nHost 9 is interested in task 1.\nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 8 is interested in task 7.\nHost 4 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 11.\nHost 4 is interested in task 5.\nHost 7 is interested in task 7.\nHost 8 is interested in task 2.\nHost 8 is interested in task 11.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 8.\nHost 0 is interested in task 8.\nHost 5 is interested in task 0.\nHost 7 is interested in task 11.\nHost 3 is interested in task 7.\nHost 3 is interested in task 6.\nHost 1 is interested in task 13.\nHost 4 is interested in task 9.\nHost 2 is interested in task 0.\nHost 0 is interested in task 12.\nHost 2 is interested in task 3.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph573", "image": "data/matching/graph_visual/hard/graph573.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 6 is interested in task 10.\nHost 9 is interested in task 0.\nHost 1 is interested in task 9.\nHost 5 is interested in task 11.\nHost 0 is interested in task 9.\nHost 0 is interested in task 3.\nHost 4 is interested in task 1.\nHost 4 is interested in task 0.\nHost 3 is interested in task 0.\nHost 0 is interested in task 8.\nHost 6 is interested in task 11.\nHost 1 is interested in task 1.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1.\nHost 11 is interested in task 1.\nHost 6 is interested in task 3.\nHost 1 is interested in task 3.\nHost 7 is interested in task 5.\nHost 11 is interested in task 6.\nHost 5 is interested in task 7.\nHost 7 is interested in task 2.\nHost 10 is interested in task 8.\nHost 9 is interested in task 6.\nHost 11 is interested in task 7.\nHost 5 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 1.\nHost 10 is interested in task 0.\nHost 5 is interested in task 1.\nHost 3 is interested in task 8.\nHost 11 is interested in task 11.\nHost 5 is interested in task 12.\nHost 1 is interested in task 13.\nHost 1 is interested in task 10.\nHost 10 is interested in task 1.\nHost 10 is interested in task 9.\nHost 1 is interested in task 6.\nHost 9 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 10.\nHost 7 is interested in task 13.\nHost 9 is interested in task 3.\nHost 11 is interested in task 8.\nHost 9 is interested in task 13.\nHost 11 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 9.\nHost 3 is interested in task 5.\nHost 4 is interested in task 9.\nHost 5 is interested in task 4.\nHost 9 is interested in task 12.\nHost 7 is interested in task 7.\nHost 9 is interested in task 10.\nHost 5 is interested in task 13.\nHost 4 is interested in task 6.\nHost 4 is interested in task 8.\nHost 1 is interested in task 4.\nHost 10 is interested in task 3.\nHost 1 is interested in task 5.\nHost 11 is interested in task 9.\nHost 5 is interested in task 0.\nHost 10 is interested in task 6.\nHost 9 is interested in task 9.\nHost 0 is interested in task 10.\nHost 11 is interested in task 4.\nHost 0 is interested in task 13.\nHost 10 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph360", "image": "data/matching/graph_visual/hard/graph360.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 2 is interested in task 3.\nHost 6 is interested in task 12.\nHost 2 is interested in task 12.\nHost 3 is interested in task 4.\nHost 10 is interested in task 11.\nHost 5 is interested in task 10.\nHost 4 is interested in task 6.\nHost 8 is interested in task 4.\nHost 10 is interested in task 5.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 3 is interested in task 6.\nHost 2 is interested in task 1.\nHost 9 is interested in task 0.\nHost 0 is interested in task 10.\nHost 3 is interested in task 5.\nHost 7 is interested in task 11.\nHost 8 is interested in task 6.\nHost 8 is interested in task 3.\nHost 6 is interested in task 1.\nHost 5 is interested in task 1.\nHost 9 is interested in task 1.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 9 is interested in task 9.\nHost 0 is interested in task 1.\nHost 7 is interested in task 9.\nHost 5 is interested in task 5.\nHost 0 is interested in task 5.\nHost 6 is interested in task 10.\nHost 7 is interested in task 12.\nHost 8 is interested in task 2.\nHost 3 is interested in task 7.\nHost 10 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 9.\nHost 4 is interested in task 10.\nHost 4 is interested in task 9.\nHost 9 is interested in task 6.\nHost 2 is interested in task 11.\nHost 6 is interested in task 4.\nHost 3 is interested in task 0.\nHost 0 is interested in task 8.\nHost 1 is interested in task 11.\nHost 3 is interested in task 8.\nHost 0 is interested in task 6.\nHost 9 is interested in task 10.\nHost 2 is interested in task 9.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph794", "image": "data/matching/graph_visual/hard/graph794.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 4 is interested in task 2.\nHost 11 is interested in task 3.\nHost 12 is interested in task 6.\nHost 4 is interested in task 5.\nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 6 is interested in task 2.\nHost 5 is interested in task 13.\nHost 1 is interested in task 11.\nHost 11 is interested in task 9.\nHost 5 is interested in task 3.\nHost 11 is interested in task 13.\nHost 8 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 9.\nHost 7 is interested in task 12.\nHost 1 is interested in task 10.\nHost 11 is interested in task 8.\nHost 0 is interested in task 9.\nHost 8 is interested in task 11.\nHost 7 is interested in task 9.\nHost 8 is interested in task 9.\nHost 6 is interested in task 12.\nHost 10 is interested in task 0.\nHost 12 is interested in task 11.\nHost 9 is interested in task 5.\nHost 12 is interested in task 5.\nHost 8 is interested in task 12.\nHost 7 is interested in task 4.\nHost 11 is interested in task 1.\nHost 12 is interested in task 7.\nHost 8 is interested in task 10.\nHost 0 is interested in task 6.\nHost 5 is interested in task 6.\nHost 3 is interested in task 3.\nHost 3 is interested in task 10.\nHost 1 is interested in task 1.\nHost 1 is interested in task 13.\nHost 12 is interested in task 9.\nHost 1 is interested in task 2.\nHost 2 is interested in task 0.\nHost 5 is interested in task 7.\nHost 12 is interested in task 8.\nHost 11 is interested in task 4.\nHost 10 is interested in task 2.\nHost 1 is interested in task 9.\nHost 6 is interested in task 13.\nHost 0 is interested in task 14.\nHost 0 is interested in task 12.\nHost 4 is interested in task 0.\nHost 2 is interested in task 5.\nHost 5 is interested in task 4.\nHost 12 is interested in task 2.\nHost 12 is interested in task 12.\nHost 4 is interested in task 12.\nHost 4 is interested in task 13.\nHost 4 is interested in task 3.\nHost 5 is interested in task 14.\nHost 0 is interested in task 13.\nHost 2 is interested in task 11.\nHost 1 is interested in task 6.\nHost 10 is interested in task 14.\nHost 6 is interested in task 14.\nHost 4 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 1.\nHost 8 is interested in task 6.\nHost 9 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph69", "image": "data/matching/graph_visual/hard/graph69.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 6.\nHost 3 is interested in task 5.\nHost 9 is interested in task 3.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 8.\nHost 1 is interested in task 6.\nHost 9 is interested in task 0.\nHost 6 is interested in task 3.\nHost 8 is interested in task 8.\nHost 0 is interested in task 7.\nHost 2 is interested in task 1.\nHost 6 is interested in task 5.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 5 is interested in task 5.\nHost 6 is interested in task 0.\nHost 6 is interested in task 6.\nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 7 is interested in task 7.\nHost 7 is interested in task 1.\nHost 1 is interested in task 0.\nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 5.\nHost 7 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 7.\nHost 1 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 4.\nHost 8 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph677", "image": "data/matching/graph_visual/hard/graph677.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 10.\nHost 4 is interested in task 9.\nHost 1 is interested in task 2.\nHost 2 is interested in task 9.\nHost 9 is interested in task 6.\nHost 11 is interested in task 9.\nHost 7 is interested in task 0.\nHost 12 is interested in task 10.\nHost 6 is interested in task 4.\nHost 5 is interested in task 4.\nHost 9 is interested in task 4.\nHost 1 is interested in task 5.\nHost 2 is interested in task 2.\nHost 0 is interested in task 1.\nHost 10 is interested in task 5.\nHost 0 is interested in task 3.\nHost 5 is interested in task 6.\nHost 12 is interested in task 2.\nHost 8 is interested in task 9.\nHost 12 is interested in task 3.\nHost 9 is interested in task 10.\nHost 11 is interested in task 0.\nHost 5 is interested in task 8.\nHost 7 is interested in task 9.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 5 is interested in task 7.\nHost 11 is interested in task 7.\nHost 8 is interested in task 1.\nHost 4 is interested in task 10.\nHost 6 is interested in task 8.\nHost 11 is interested in task 6.\nHost 6 is interested in task 5.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 9 is interested in task 8.\nHost 3 is interested in task 9.\nHost 7 is interested in task 4.\nHost 5 is interested in task 2.\nHost 8 is interested in task 4.\nHost 8 is interested in task 2.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 12 is interested in task 5.\nHost 0 is interested in task 8.\nHost 11 is interested in task 1.\nHost 7 is interested in task 3.\nHost 9 is interested in task 0.\nHost 8 is interested in task 6.\nHost 7 is interested in task 5.\nHost 7 is interested in task 8.\nHost 12 is interested in task 6.\nHost 12 is interested in task 7.\nHost 7 is interested in task 7.\nHost 7 is interested in task 6.\nHost 12 is interested in task 8.\nHost 9 is interested in task 5.\nHost 10 is interested in task 3.\nHost 3 is interested in task 3.\nHost 5 is interested in task 0.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1081", "image": "data/matching/graph_visual/hard/graph1081.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 10 is interested in task 3.\nHost 11 is interested in task 8.\nHost 11 is interested in task 3.\nHost 12 is interested in task 4.\nHost 14 is interested in task 0.\nHost 1 is interested in task 9.\nHost 6 is interested in task 6.\nHost 13 is interested in task 5.\nHost 7 is interested in task 2.\nHost 12 is interested in task 9.\nHost 10 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 8 is interested in task 4.\nHost 7 is interested in task 9.\nHost 14 is interested in task 1.\nHost 7 is interested in task 4.\nHost 10 is interested in task 1.\nHost 4 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 10.\nHost 0 is interested in task 11.\nHost 1 is interested in task 5.\nHost 9 is interested in task 10.\nHost 4 is interested in task 12.\nHost 11 is interested in task 9.\nHost 2 is interested in task 3.\nHost 8 is interested in task 11.\nHost 9 is interested in task 3.\nHost 12 is interested in task 6.\nHost 13 is interested in task 2.\nHost 4 is interested in task 10.\nHost 9 is interested in task 5.\nHost 7 is interested in task 1.\nHost 7 is interested in task 12.\nHost 0 is interested in task 4.\nHost 4 is interested in task 3.\nHost 11 is interested in task 4.\nHost 3 is interested in task 2.\nHost 5 is interested in task 7.\nHost 3 is interested in task 7.\nHost 1 is interested in task 0.\nHost 8 is interested in task 3.\nHost 14 is interested in task 10.\nHost 8 is interested in task 9.\nHost 11 is interested in task 7.\nHost 4 is interested in task 1.\nHost 5 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 6.\nHost 1 is interested in task 10.\nHost 7 is interested in task 3.\nHost 12 is interested in task 8.\nHost 13 is interested in task 12.\nHost 3 is interested in task 5.\nHost 10 is interested in task 6.\nHost 11 is interested in task 11.\nHost 4 is interested in task 9.\nHost 3 is interested in task 9.\nHost 0 is interested in task 1.\nHost 3 is interested in task 11.\nHost 0 is interested in task 9.\nHost 6 is interested in task 3.\nHost 4 is interested in task 2.\nHost 9 is interested in task 9.\nHost 4 is interested in task 7.\nHost 12 is interested in task 0.\nHost 2 is interested in task 8.\nHost 4 is interested in task 6.\nHost 8 is interested in task 5.\nHost 8 is interested in task 1.\nHost 14 is interested in task 4.\nHost 7 is interested in task 10.\nHost 6 is interested in task 0.\nHost 13 is interested in task 6.\nHost 4 is interested in task 8.\nHost 5 is interested in task 9.\nHost 4 is interested in task 11.\nHost 13 is interested in task 11.\nHost 3 is interested in task 6.\nHost 11 is interested in task 12.\nHost 14 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph101", "image": "data/matching/graph_visual/hard/graph101.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 0.\nHost 5 is interested in task 6.\nHost 0 is interested in task 2.\nHost 2 is interested in task 4.\nHost 4 is interested in task 8.\nHost 9 is interested in task 4.\nHost 2 is interested in task 6.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 6 is interested in task 3.\nHost 6 is interested in task 1.\nHost 2 is interested in task 9.\nHost 9 is interested in task 7.\nHost 4 is interested in task 4.\nHost 5 is interested in task 9.\nHost 1 is interested in task 1.\nHost 1 is interested in task 9.\nHost 4 is interested in task 7.\nHost 1 is interested in task 3.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 0 is interested in task 5.\nHost 7 is interested in task 2.\nHost 8 is interested in task 9.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 0 is interested in task 0.\nHost 9 is interested in task 9.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 0 is interested in task 4.\nHost 2 is interested in task 2.\nHost 5 is interested in task 5.\nHost 5 is interested in task 0.\nHost 1 is interested in task 4.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 2 is interested in task 1.\nHost 3 is interested in task 8.\nHost 5 is interested in task 1.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph780", "image": "data/matching/graph_visual/hard/graph780.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 11.\nHost 12 is interested in task 7.\nHost 10 is interested in task 1.\nHost 2 is interested in task 10.\nHost 2 is interested in task 3.\nHost 12 is interested in task 13.\nHost 11 is interested in task 5.\nHost 1 is interested in task 2.\nHost 7 is interested in task 10.\nHost 10 is interested in task 3.\nHost 7 is interested in task 9.\nHost 4 is interested in task 14.\nHost 6 is interested in task 11.\nHost 12 is interested in task 3.\nHost 1 is interested in task 13.\nHost 2 is interested in task 6.\nHost 12 is interested in task 2.\nHost 11 is interested in task 2.\nHost 7 is interested in task 7.\nHost 8 is interested in task 8.\nHost 1 is interested in task 14.\nHost 10 is interested in task 14.\nHost 9 is interested in task 5.\nHost 11 is interested in task 14.\nHost 1 is interested in task 12.\nHost 9 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 10.\nHost 12 is interested in task 5.\nHost 11 is interested in task 8.\nHost 9 is interested in task 11.\nHost 1 is interested in task 5.\nHost 12 is interested in task 6.\nHost 11 is interested in task 7.\nHost 10 is interested in task 0.\nHost 11 is interested in task 12.\nHost 11 is interested in task 9.\nHost 3 is interested in task 3.\nHost 7 is interested in task 13.\nHost 11 is interested in task 6.\nHost 11 is interested in task 11.\nHost 2 is interested in task 4.\nHost 2 is interested in task 7.\nHost 9 is interested in task 1.\nHost 9 is interested in task 7.\nHost 5 is interested in task 0.\nHost 4 is interested in task 6.\nHost 10 is interested in task 8.\nHost 7 is interested in task 2.\nHost 0 is interested in task 9.\nHost 8 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 1.\nHost 8 is interested in task 9.\nHost 2 is interested in task 5.\nHost 11 is interested in task 4.\nHost 8 is interested in task 13.\nHost 2 is interested in task 2.\nHost 4 is interested in task 13.\nHost 2 is interested in task 8.\nHost 2 is interested in task 12.\nHost 9 is interested in task 14.\nHost 12 is interested in task 8.\nHost 2 is interested in task 0.\nHost 10 is interested in task 11.\nHost 7 is interested in task 5.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3.\nHost 0 is interested in task 5.\nHost 12 is interested in task 9.\nHost 4 is interested in task 5.\nHost 3 is interested in task 11.\nHost 1 is interested in task 0.\nHost 6 is interested in task 14.\nHost 6 is interested in task 3.\nHost 8 is interested in task 7.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph95", "image": "data/matching/graph_visual/hard/graph95.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 1 is interested in task 7.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 6.\nHost 8 is interested in task 6.\nHost 4 is interested in task 3.\nHost 4 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 8 is interested in task 3.\nHost 1 is interested in task 1.\nHost 8 is interested in task 5.\nHost 3 is interested in task 9.\nHost 1 is interested in task 8.\nHost 1 is interested in task 9.\nHost 5 is interested in task 4.\nHost 3 is interested in task 5.\nHost 9 is interested in task 0.\nHost 9 is interested in task 6.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 3 is interested in task 4.\nHost 0 is interested in task 7.\nHost 5 is interested in task 5.\nHost 7 is interested in task 5.\nHost 3 is interested in task 6.\nHost 6 is interested in task 4.\nHost 8 is interested in task 0.\nHost 3 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 7 is interested in task 1.\nHost 0 is interested in task 9.\nHost 7 is interested in task 3.\nHost 4 is interested in task 6.\nHost 7 is interested in task 4.\nHost 8 is interested in task 7.\nHost 0 is interested in task 6.\nHost 7 is interested in task 2.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph713", "image": "data/matching/graph_visual/hard/graph713.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 10 is interested in task 5.\nHost 1 is interested in task 3.\nHost 6 is interested in task 7.\nHost 8 is interested in task 11.\nHost 9 is interested in task 7.\nHost 1 is interested in task 10.\nHost 11 is interested in task 1.\nHost 2 is interested in task 11.\nHost 9 is interested in task 3.\nHost 6 is interested in task 1.\nHost 10 is interested in task 8.\nHost 8 is interested in task 7.\nHost 6 is interested in task 3.\nHost 10 is interested in task 9.\nHost 10 is interested in task 6.\nHost 2 is interested in task 5.\nHost 1 is interested in task 11.\nHost 12 is interested in task 4.\nHost 12 is interested in task 0.\nHost 0 is interested in task 6.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 5.\nHost 10 is interested in task 3.\nHost 3 is interested in task 3.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 0 is interested in task 5.\nHost 3 is interested in task 6.\nHost 0 is interested in task 1.\nHost 10 is interested in task 2.\nHost 0 is interested in task 7.\nHost 3 is interested in task 9.\nHost 4 is interested in task 11.\nHost 0 is interested in task 8.\nHost 5 is interested in task 3.\nHost 12 is interested in task 5.\nHost 5 is interested in task 2.\nHost 9 is interested in task 10.\nHost 5 is interested in task 9.\nHost 0 is interested in task 11.\nHost 4 is interested in task 0.\nHost 0 is interested in task 2.\nHost 9 is interested in task 11.\nHost 11 is interested in task 6.\nHost 8 is interested in task 8.\nHost 11 is interested in task 5.\nHost 6 is interested in task 11.\nHost 11 is interested in task 11.\nHost 5 is interested in task 7.\nHost 10 is interested in task 11.\nHost 3 is interested in task 4.\nHost 7 is interested in task 0.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1226", "image": "data/matching/graph_visual/hard/graph1226.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 2 is interested in task 14.\nHost 5 is interested in task 3.\nHost 12 is interested in task 5.\nHost 3 is interested in task 12.\nHost 8 is interested in task 14.\nHost 6 is interested in task 15.\nHost 8 is interested in task 15.\nHost 4 is interested in task 10.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 0 is interested in task 2.\nHost 14 is interested in task 13.\nHost 1 is interested in task 3.\nHost 8 is interested in task 2.\nHost 8 is interested in task 12.\nHost 2 is interested in task 7.\nHost 11 is interested in task 15.\nHost 6 is interested in task 1.\nHost 9 is interested in task 5.\nHost 13 is interested in task 8.\nHost 5 is interested in task 10.\nHost 11 is interested in task 4.\nHost 11 is interested in task 8.\nHost 3 is interested in task 8.\nHost 8 is interested in task 3.\nHost 12 is interested in task 11.\nHost 11 is interested in task 3.\nHost 7 is interested in task 5.\nHost 2 is interested in task 11.\nHost 2 is interested in task 5.\nHost 6 is interested in task 11.\nHost 10 is interested in task 1.\nHost 12 is interested in task 2.\nHost 2 is interested in task 16.\nHost 9 is interested in task 3.\nHost 7 is interested in task 2.\nHost 11 is interested in task 12.\nHost 14 is interested in task 11.\nHost 10 is interested in task 16.\nHost 0 is interested in task 11.\nHost 11 is interested in task 6.\nHost 5 is interested in task 11.\nHost 1 is interested in task 15.\nHost 3 is interested in task 10.\nHost 11 is interested in task 7.\nHost 7 is interested in task 11.\nHost 0 is interested in task 1.\nHost 14 is interested in task 0.\nHost 4 is interested in task 2.\nHost 14 is interested in task 2.\nHost 8 is interested in task 16.\nHost 2 is interested in task 13.\nHost 1 is interested in task 4.\nHost 3 is interested in task 16.\nHost 11 is interested in task 16.\nHost 7 is interested in task 9.\nHost 13 is interested in task 6.\nHost 4 is interested in task 3.\nHost 0 is interested in task 3.\nHost 4 is interested in task 16.\nHost 4 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 13.\nHost 13 is interested in task 2.\nHost 7 is interested in task 13.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7.\nHost 9 is interested in task 8.\nHost 0 is interested in task 12.\nHost 7 is interested in task 8.\nHost 11 is interested in task 5.\nHost 14 is interested in task 12.\nHost 1 is interested in task 11.\nHost 8 is interested in task 1.\nHost 7 is interested in task 14.\nHost 12 is interested in task 13.\nHost 2 is interested in task 2.\nHost 14 is interested in task 1.\nHost 2 is interested in task 0.\nHost 2 is interested in task 1.\nHost 0 is interested in task 10.\nHost 12 is interested in task 8.\nHost 5 is interested in task 13.\nHost 10 is interested in task 6.\nHost 4 is interested in task 12.\nHost 7 is interested in task 16.\nHost 12 is interested in task 9.\nHost 7 is interested in task 1.\nHost 9 is interested in task 14.\nHost 4 is interested in task 9.\nHost 0 is interested in task 15.\nHost 9 is interested in task 7.\nHost 12 is interested in task 6.\nHost 10 is interested in task 3.\nHost 6 is interested in task 10.\nHost 8 is interested in task 9.\nHost 10 is interested in task 15.\nHost 10 is interested in task 0.\nHost 10 is interested in task 2.\nHost 7 is interested in task 10.\nHost 2 is interested in task 9.\nHost 5 is interested in task 15.\nHost 13 is interested in task 12.\nHost 14 is interested in task 6.\nHost 14 is interested in task 15.\nHost 4 is interested in task 8.\nHost 12 is interested in task 1.\nHost 5 is interested in task 7.\nHost 10 is interested in task 12.\nHost 13 is interested in task 11.\nHost 12 is interested in task 12.\nHost 8 is interested in task 10.\nHost 11 is interested in task 2.\nHost 13 is interested in task 15.\nHost 0 is interested in task 4.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph854", "image": "data/matching/graph_visual/hard/graph854.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 12 is interested in task 3.\nHost 4 is interested in task 7.\nHost 8 is interested in task 9.\nHost 2 is interested in task 2.\nHost 5 is interested in task 1.\nHost 5 is interested in task 6.\nHost 0 is interested in task 9.\nHost 11 is interested in task 3.\nHost 7 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 4.\nHost 5 is interested in task 0.\nHost 6 is interested in task 2.\nHost 12 is interested in task 7.\nHost 1 is interested in task 5.\nHost 12 is interested in task 0.\nHost 1 is interested in task 0.\nHost 9 is interested in task 6.\nHost 10 is interested in task 0.\nHost 1 is interested in task 9.\nHost 9 is interested in task 8.\nHost 0 is interested in task 6.\nHost 6 is interested in task 6.\nHost 13 is interested in task 7.\nHost 9 is interested in task 3.\nHost 1 is interested in task 6.\nHost 13 is interested in task 4.\nHost 11 is interested in task 7.\nHost 9 is interested in task 7.\nHost 2 is interested in task 1.\nHost 2 is interested in task 9.\nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 13 is interested in task 8.\nHost 12 is interested in task 1.\nHost 3 is interested in task 6.\nHost 2 is interested in task 6.\nHost 2 is interested in task 10.\nHost 5 is interested in task 5.\nHost 3 is interested in task 9.\nHost 4 is interested in task 8.\nHost 6 is interested in task 7.\nHost 8 is interested in task 2.\nHost 4 is interested in task 6.\nHost 13 is interested in task 10.\nHost 9 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 8.\nHost 8 is interested in task 3.\nHost 10 is interested in task 3.\nHost 12 is interested in task 9.\nHost 10 is interested in task 5.\nHost 0 is interested in task 5.\nHost 9 is interested in task 4.\nHost 1 is interested in task 4.\nHost 4 is interested in task 0.\nHost 12 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 3.\nHost 6 is interested in task 10.\nHost 3 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph64", "image": "data/matching/graph_visual/hard/graph64.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 4.\nHost 3 is interested in task 8.\nHost 4 is interested in task 7.\nHost 7 is interested in task 0.\nHost 3 is interested in task 5.\nHost 9 is interested in task 1.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 4 is interested in task 3.\nHost 1 is interested in task 4.\nHost 8 is interested in task 7.\nHost 8 is interested in task 1.\nHost 0 is interested in task 8.\nHost 5 is interested in task 0.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 2 is interested in task 2.\nHost 8 is interested in task 4.\nHost 5 is interested in task 6.\nHost 3 is interested in task 0.\nHost 4 is interested in task 1.\nHost 2 is interested in task 3.\nHost 2 is interested in task 0.\nHost 6 is interested in task 2.\nHost 6 is interested in task 1.\nHost 2 is interested in task 8.\nHost 1 is interested in task 7.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 3 is interested in task 7.\nHost 9 is interested in task 7.\nHost 6 is interested in task 3.\nHost 7 is interested in task 7.\nHost 3 is interested in task 4.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 3 is interested in task 1.\nHost 7 is interested in task 5.\nHost 8 is interested in task 2.\nHost 7 is interested in task 8.\nHost 6 is interested in task 8.\nHost 1 is interested in task 0.\nHost 0 is interested in task 0.\nHost 9 is interested in task 6.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph180", "image": "data/matching/graph_visual/hard/graph180.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 10.\nHost 8 is interested in task 4.\nHost 8 is interested in task 6.\nHost 5 is interested in task 7.\nHost 5 is interested in task 8.\nHost 1 is interested in task 12.\nHost 9 is interested in task 3.\nHost 2 is interested in task 0.\nHost 9 is interested in task 7.\nHost 0 is interested in task 2.\nHost 7 is interested in task 8.\nHost 4 is interested in task 8.\nHost 8 is interested in task 11.\nHost 9 is interested in task 8.\nHost 0 is interested in task 7.\nHost 5 is interested in task 9.\nHost 1 is interested in task 5.\nHost 8 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 12.\nHost 8 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 8.\nHost 9 is interested in task 9.\nHost 6 is interested in task 5.\nHost 9 is interested in task 11.\nHost 0 is interested in task 3.\nHost 9 is interested in task 12.\nHost 2 is interested in task 6.\nHost 6 is interested in task 8.\nHost 8 is interested in task 12.\nHost 7 is interested in task 11.\nHost 4 is interested in task 6.\nHost 0 is interested in task 5.\nHost 3 is interested in task 7.\nHost 7 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 4.\nHost 0 is interested in task 6.\nHost 5 is interested in task 6.\nHost 2 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 1.\nHost 3 is interested in task 10.\nHost 2 is interested in task 12.\nHost 1 is interested in task 8.\nHost 6 is interested in task 0.\nHost 9 is interested in task 10.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 9.\nHost 8 is interested in task 3.\nHost 7 is interested in task 9.\nHost 0 is interested in task 8.\nHost 4 is interested in task 2.\nHost 9 is interested in task 6.\nHost 0 is interested in task 9.\nHost 8 is interested in task 7.\nHost 7 is interested in task 5.\nHost 6 is interested in task 10.\nHost 5 is interested in task 12.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph391", "image": "data/matching/graph_visual/hard/graph391.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 7 is interested in task 0.\nHost 3 is interested in task 11.\nHost 2 is interested in task 12.\nHost 8 is interested in task 0.\nHost 7 is interested in task 9.\nHost 0 is interested in task 8.\nHost 1 is interested in task 1.\nHost 0 is interested in task 10.\nHost 9 is interested in task 13.\nHost 9 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 6.\nHost 4 is interested in task 9.\nHost 1 is interested in task 0.\nHost 6 is interested in task 7.\nHost 6 is interested in task 5.\nHost 1 is interested in task 7.\nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 6 is interested in task 13.\nHost 0 is interested in task 2.\nHost 10 is interested in task 5.\nHost 5 is interested in task 11.\nHost 3 is interested in task 6.\nHost 3 is interested in task 9.\nHost 5 is interested in task 1.\nHost 0 is interested in task 13.\nHost 8 is interested in task 5.\nHost 5 is interested in task 9.\nHost 8 is interested in task 13.\nHost 3 is interested in task 5.\nHost 6 is interested in task 12.\nHost 7 is interested in task 3.\nHost 2 is interested in task 11.\nHost 4 is interested in task 6.\nHost 7 is interested in task 10.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 3 is interested in task 3.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph807", "image": "data/matching/graph_visual/hard/graph807.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 12.\nHost 7 is interested in task 13.\nHost 4 is interested in task 13.\nHost 12 is interested in task 6.\nHost 7 is interested in task 10.\nHost 9 is interested in task 0.\nHost 2 is interested in task 12.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 10 is interested in task 4.\nHost 3 is interested in task 1.\nHost 3 is interested in task 4.\nHost 8 is interested in task 14.\nHost 8 is interested in task 13.\nHost 6 is interested in task 14.\nHost 8 is interested in task 2.\nHost 12 is interested in task 8.\nHost 11 is interested in task 6.\nHost 6 is interested in task 1.\nHost 9 is interested in task 6.\nHost 6 is interested in task 2.\nHost 6 is interested in task 8.\nHost 6 is interested in task 3.\nHost 5 is interested in task 13.\nHost 7 is interested in task 5.\nHost 9 is interested in task 7.\nHost 11 is interested in task 4.\nHost 7 is interested in task 9.\nHost 6 is interested in task 6.\nHost 11 is interested in task 7.\nHost 5 is interested in task 8.\nHost 0 is interested in task 10.\nHost 0 is interested in task 9.\nHost 0 is interested in task 12.\nHost 4 is interested in task 14.\nHost 11 is interested in task 12.\nHost 5 is interested in task 0.\nHost 2 is interested in task 6.\nHost 1 is interested in task 7.\nHost 10 is interested in task 10.\nHost 0 is interested in task 0.\nHost 5 is interested in task 7.\nHost 7 is interested in task 0.\nHost 11 is interested in task 13.\nHost 8 is interested in task 7.\nHost 11 is interested in task 11.\nHost 10 is interested in task 8.\nHost 6 is interested in task 12.\nHost 1 is interested in task 13.\nHost 10 is interested in task 3.\nHost 0 is interested in task 5.\nHost 12 is interested in task 11.\nHost 0 is interested in task 6.\nHost 2 is interested in task 5.\nHost 3 is interested in task 11.\nHost 11 is interested in task 10.\nHost 2 is interested in task 10.\nHost 3 is interested in task 3.\nHost 0 is interested in task 13.\nHost 6 is interested in task 0.\nHost 8 is interested in task 10.\nHost 6 is interested in task 11.\nHost 6 is interested in task 7.\nHost 5 is interested in task 14.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 6 is interested in task 13.\nHost 0 is interested in task 11.\nHost 2 is interested in task 13.\nHost 4 is interested in task 10.\nHost 4 is interested in task 5.\nHost 6 is interested in task 4.\nHost 11 is interested in task 1.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph201", "image": "data/matching/graph_visual/hard/graph201.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 7 is interested in task 3.\nHost 4 is interested in task 10.\nHost 7 is interested in task 5.\nHost 6 is interested in task 6.\nHost 4 is interested in task 8.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 0.\nHost 8 is interested in task 11.\nHost 9 is interested in task 3.\nHost 9 is interested in task 11.\nHost 2 is interested in task 1.\nHost 1 is interested in task 6.\nHost 1 is interested in task 3.\nHost 0 is interested in task 5.\nHost 8 is interested in task 3.\nHost 7 is interested in task 11.\nHost 0 is interested in task 10.\nHost 0 is interested in task 0.\nHost 9 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 9.\nHost 9 is interested in task 1.\nHost 4 is interested in task 9.\nHost 7 is interested in task 10.\nHost 9 is interested in task 0.\nHost 4 is interested in task 7.\nHost 6 is interested in task 1.\nHost 3 is interested in task 11.\nHost 9 is interested in task 9.\nHost 8 is interested in task 12.\nHost 6 is interested in task 9.\nHost 8 is interested in task 7.\nHost 9 is interested in task 5.\nHost 5 is interested in task 12.\nHost 4 is interested in task 0.\nHost 2 is interested in task 3.\nHost 4 is interested in task 12.\nHost 4 is interested in task 4.\nHost 5 is interested in task 9.\nHost 2 is interested in task 8.\nHost 9 is interested in task 12.\nHost 1 is interested in task 8.\nHost 8 is interested in task 9.\nHost 5 is interested in task 0.\nHost 5 is interested in task 11.\nHost 1 is interested in task 11.\nHost 1 is interested in task 5.\nHost 0 is interested in task 6.\nHost 2 is interested in task 11.\nHost 4 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 8.\nHost 2 is interested in task 12.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph805", "image": "data/matching/graph_visual/hard/graph805.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 11.\nHost 5 is interested in task 7.\nHost 6 is interested in task 11.\nHost 9 is interested in task 10.\nHost 5 is interested in task 6.\nHost 11 is interested in task 4.\nHost 12 is interested in task 12.\nHost 1 is interested in task 7.\nHost 10 is interested in task 13.\nHost 6 is interested in task 13.\nHost 9 is interested in task 7.\nHost 6 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 9.\nHost 12 is interested in task 6.\nHost 4 is interested in task 14.\nHost 1 is interested in task 12.\nHost 4 is interested in task 5.\nHost 4 is interested in task 1.\nHost 2 is interested in task 14.\nHost 3 is interested in task 10.\nHost 5 is interested in task 2.\nHost 1 is interested in task 4.\nHost 10 is interested in task 8.\nHost 9 is interested in task 3.\nHost 8 is interested in task 5.\nHost 11 is interested in task 13.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 9 is interested in task 9.\nHost 9 is interested in task 0.\nHost 3 is interested in task 14.\nHost 4 is interested in task 2.\nHost 10 is interested in task 5.\nHost 8 is interested in task 14.\nHost 9 is interested in task 12.\nHost 5 is interested in task 12.\nHost 11 is interested in task 6.\nHost 6 is interested in task 3.\nHost 10 is interested in task 0.\nHost 11 is interested in task 9.\nHost 1 is interested in task 11.\nHost 0 is interested in task 0.\nHost 4 is interested in task 12.\nHost 10 is interested in task 6.\nHost 10 is interested in task 9.\nHost 8 is interested in task 12.\nHost 8 is interested in task 11.\nHost 1 is interested in task 6.\nHost 3 is interested in task 13.\nHost 12 is interested in task 7.\nHost 8 is interested in task 7.\nHost 10 is interested in task 2.\nHost 10 is interested in task 1.\nHost 10 is interested in task 14.\nHost 3 is interested in task 9.\nHost 2 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 12 is interested in task 8.\nHost 3 is interested in task 3.\nHost 7 is interested in task 9.\nHost 8 is interested in task 4.\nHost 8 is interested in task 6.\nHost 2 is interested in task 10.\nHost 9 is interested in task 8.\nHost 7 is interested in task 7.\nHost 6 is interested in task 1.\nHost 12 is interested in task 13.\nHost 7 is interested in task 3.\nHost 6 is interested in task 12.\nHost 8 is interested in task 10.\nHost 6 is interested in task 14. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph425", "image": "data/matching/graph_visual/hard/graph425.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 0.\nHost 10 is interested in task 8.\nHost 0 is interested in task 1.\nHost 7 is interested in task 1.\nHost 8 is interested in task 4.\nHost 5 is interested in task 8.\nHost 11 is interested in task 6.\nHost 9 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 0.\nHost 7 is interested in task 2.\nHost 5 is interested in task 1.\nHost 7 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 8.\nHost 0 is interested in task 5.\nHost 10 is interested in task 7.\nHost 4 is interested in task 7.\nHost 8 is interested in task 6.\nHost 10 is interested in task 1.\nHost 5 is interested in task 7.\nHost 10 is interested in task 2.\nHost 7 is interested in task 5.\nHost 5 is interested in task 3.\nHost 3 is interested in task 2.\nHost 0 is interested in task 7.\nHost 4 is interested in task 2.\nHost 2 is interested in task 7.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 8 is interested in task 5.\nHost 1 is interested in task 6.\nHost 7 is interested in task 6.\nHost 2 is interested in task 6.\nHost 6 is interested in task 0.\nHost 7 is interested in task 3.\nHost 1 is interested in task 3.\nHost 0 is interested in task 6.\nHost 4 is interested in task 8.\nHost 5 is interested in task 2.\nHost 4 is interested in task 3.\nHost 11 is interested in task 7.\nHost 8 is interested in task 2.\nHost 6 is interested in task 7.\nHost 10 is interested in task 0.\nHost 2 is interested in task 0.\nHost 6 is interested in task 6.\nHost 3 is interested in task 4.\nHost 7 is interested in task 7.\nHost 0 is interested in task 8.\nHost 6 is interested in task 1.\nHost 4 is interested in task 5.\nHost 11 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph811", "image": "data/matching/graph_visual/hard/graph811.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 1.\nHost 3 is interested in task 14.\nHost 5 is interested in task 0.\nHost 3 is interested in task 2.\nHost 4 is interested in task 8.\nHost 4 is interested in task 15.\nHost 8 is interested in task 2.\nHost 10 is interested in task 2.\nHost 8 is interested in task 3.\nHost 1 is interested in task 7.\nHost 3 is interested in task 8.\nHost 1 is interested in task 3.\nHost 10 is interested in task 15.\nHost 0 is interested in task 13.\nHost 1 is interested in task 9.\nHost 4 is interested in task 3.\nHost 6 is interested in task 4.\nHost 12 is interested in task 4.\nHost 6 is interested in task 14.\nHost 9 is interested in task 3.\nHost 12 is interested in task 1.\nHost 10 is interested in task 3.\nHost 9 is interested in task 5.\nHost 11 is interested in task 11.\nHost 2 is interested in task 11.\nHost 3 is interested in task 13.\nHost 9 is interested in task 7.\nHost 2 is interested in task 13.\nHost 8 is interested in task 11.\nHost 4 is interested in task 6.\nHost 4 is interested in task 13.\nHost 2 is interested in task 8.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 9.\nHost 9 is interested in task 10.\nHost 4 is interested in task 2.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 2 is interested in task 9.\nHost 12 is interested in task 10.\nHost 2 is interested in task 4.\nHost 0 is interested in task 0.\nHost 0 is interested in task 9.\nHost 7 is interested in task 8.\nHost 3 is interested in task 12.\nHost 12 is interested in task 2.\nHost 3 is interested in task 15.\nHost 5 is interested in task 12.\nHost 0 is interested in task 11.\nHost 2 is interested in task 5.\nHost 1 is interested in task 8.\nHost 9 is interested in task 4.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 12 is interested in task 7.\nHost 4 is interested in task 12.\nHost 10 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 2.\nHost 0 is interested in task 15.\nHost 2 is interested in task 10.\nHost 11 is interested in task 13.\nHost 7 is interested in task 2.\nHost 3 is interested in task 4.\nHost 10 is interested in task 8.\nHost 7 is interested in task 9.\nHost 10 is interested in task 6.\nHost 9 is interested in task 13.\nHost 9 is interested in task 11.\nHost 11 is interested in task 15.\nHost 9 is interested in task 14.\nHost 7 is interested in task 11.\nHost 10 is interested in task 7.\nHost 6 is interested in task 5.\nHost 10 is interested in task 4.\nHost 3 is interested in task 5.\nHost 10 is interested in task 10.\nHost 5 is interested in task 9.\nHost 3 is interested in task 9.\nHost 8 is interested in task 15.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph942", "image": "data/matching/graph_visual/hard/graph942.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 10.\nHost 8 is interested in task 4.\nHost 4 is interested in task 13.\nHost 11 is interested in task 1.\nHost 2 is interested in task 9.\nHost 7 is interested in task 10.\nHost 7 is interested in task 0.\nHost 11 is interested in task 0.\nHost 12 is interested in task 2.\nHost 8 is interested in task 13.\nHost 12 is interested in task 12.\nHost 2 is interested in task 11.\nHost 8 is interested in task 9.\nHost 6 is interested in task 0.\nHost 7 is interested in task 12.\nHost 13 is interested in task 12.\nHost 5 is interested in task 13.\nHost 9 is interested in task 2.\nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 7 is interested in task 7.\nHost 6 is interested in task 1.\nHost 9 is interested in task 12.\nHost 9 is interested in task 13.\nHost 2 is interested in task 5.\nHost 3 is interested in task 6.\nHost 1 is interested in task 6.\nHost 13 is interested in task 9.\nHost 1 is interested in task 12.\nHost 10 is interested in task 5.\nHost 13 is interested in task 7.\nHost 3 is interested in task 7.\nHost 13 is interested in task 8.\nHost 8 is interested in task 10.\nHost 13 is interested in task 0.\nHost 1 is interested in task 5.\nHost 10 is interested in task 3.\nHost 8 is interested in task 0.\nHost 11 is interested in task 12.\nHost 7 is interested in task 8.\nHost 9 is interested in task 11.\nHost 7 is interested in task 6.\nHost 7 is interested in task 1.\nHost 2 is interested in task 3.\nHost 12 is interested in task 6.\nHost 6 is interested in task 11.\nHost 1 is interested in task 11.\nHost 8 is interested in task 12.\nHost 1 is interested in task 10.\nHost 5 is interested in task 11.\nHost 12 is interested in task 8.\nHost 0 is interested in task 7.\nHost 2 is interested in task 6.\nHost 4 is interested in task 6.\nHost 13 is interested in task 5.\nHost 1 is interested in task 4.\nHost 12 is interested in task 5.\nHost 12 is interested in task 3.\nHost 12 is interested in task 4.\nHost 9 is interested in task 0.\nHost 5 is interested in task 7.\nHost 11 is interested in task 3.\nHost 6 is interested in task 13.\nHost 2 is interested in task 13.\nHost 8 is interested in task 2.\nHost 10 is interested in task 0.\nHost 4 is interested in task 2.\nHost 9 is interested in task 1.\nHost 1 is interested in task 2.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 0 is interested in task 12.\nHost 8 is interested in task 8.\nHost 5 is interested in task 1.\nHost 6 is interested in task 6.\nHost 11 is interested in task 13.\nHost 7 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph309", "image": "data/matching/graph_visual/hard/graph309.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 6 is interested in task 8.\nHost 10 is interested in task 6.\nHost 1 is interested in task 8.\nHost 10 is interested in task 10.\nHost 6 is interested in task 3.\nHost 3 is interested in task 1.\nHost 5 is interested in task 8.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 2 is interested in task 10.\nHost 9 is interested in task 9.\nHost 6 is interested in task 2.\nHost 9 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 5.\nHost 9 is interested in task 6.\nHost 10 is interested in task 3.\nHost 8 is interested in task 6.\nHost 6 is interested in task 6.\nHost 8 is interested in task 3.\nHost 2 is interested in task 7.\nHost 4 is interested in task 3.\nHost 9 is interested in task 10.\nHost 6 is interested in task 10.\nHost 6 is interested in task 0.\nHost 1 is interested in task 7.\nHost 5 is interested in task 9.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 4 is interested in task 6.\nHost 0 is interested in task 0.\nHost 0 is interested in task 9.\nHost 5 is interested in task 6.\nHost 1 is interested in task 4.\nHost 7 is interested in task 0.\nHost 8 is interested in task 9.\nHost 5 is interested in task 2.\nHost 4 is interested in task 7.\nHost 6 is interested in task 7.\nHost 8 is interested in task 0.\nHost 9 is interested in task 2.\nHost 2 is interested in task 5.\nHost 2 is interested in task 4.\nHost 1 is interested in task 10.\nHost 2 is interested in task 8.\nHost 7 is interested in task 1.\nHost 2 is interested in task 3.\nHost 6 is interested in task 9.\nHost 0 is interested in task 7.\nHost 1 is interested in task 6.\nHost 9 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 3.\nHost 4 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1014", "image": "data/matching/graph_visual/hard/graph1014.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 12 is interested in task 5.\nHost 7 is interested in task 3.\nHost 6 is interested in task 4.\nHost 11 is interested in task 4.\nHost 4 is interested in task 6.\nHost 4 is interested in task 12.\nHost 12 is interested in task 11.\nHost 9 is interested in task 8.\nHost 4 is interested in task 15.\nHost 5 is interested in task 3.\nHost 8 is interested in task 2.\nHost 8 is interested in task 9.\nHost 13 is interested in task 6.\nHost 3 is interested in task 4.\nHost 10 is interested in task 2.\nHost 13 is interested in task 11.\nHost 2 is interested in task 9.\nHost 12 is interested in task 13.\nHost 6 is interested in task 15.\nHost 13 is interested in task 12.\nHost 12 is interested in task 7.\nHost 3 is interested in task 1.\nHost 12 is interested in task 3.\nHost 2 is interested in task 15.\nHost 10 is interested in task 10.\nHost 10 is interested in task 12.\nHost 6 is interested in task 1.\nHost 12 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 14.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 5 is interested in task 4.\nHost 6 is interested in task 3.\nHost 9 is interested in task 4.\nHost 7 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 13.\nHost 5 is interested in task 14.\nHost 4 is interested in task 10.\nHost 5 is interested in task 15.\nHost 9 is interested in task 1.\nHost 10 is interested in task 14.\nHost 12 is interested in task 6.\nHost 11 is interested in task 2.\nHost 9 is interested in task 5.\nHost 12 is interested in task 1.\nHost 13 is interested in task 10.\nHost 3 is interested in task 7.\nHost 0 is interested in task 7.\nHost 10 is interested in task 5.\nHost 3 is interested in task 2.\nHost 8 is interested in task 12.\nHost 10 is interested in task 15.\nHost 9 is interested in task 0.\nHost 4 is interested in task 8.\nHost 1 is interested in task 11.\nHost 6 is interested in task 13.\nHost 7 is interested in task 11.\nHost 1 is interested in task 13.\nHost 6 is interested in task 2.\nHost 9 is interested in task 6.\nHost 12 is interested in task 2.\nHost 3 is interested in task 5.\nHost 3 is interested in task 10.\nHost 13 is interested in task 1.\nHost 1 is interested in task 4.\nHost 12 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph468", "image": "data/matching/graph_visual/hard/graph468.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 5.\nHost 8 is interested in task 7.\nHost 5 is interested in task 5.\nHost 10 is interested in task 0.\nHost 3 is interested in task 8.\nHost 1 is interested in task 2.\nHost 5 is interested in task 9.\nHost 11 is interested in task 9.\nHost 11 is interested in task 3.\nHost 6 is interested in task 4.\nHost 11 is interested in task 8.\nHost 4 is interested in task 3.\nHost 7 is interested in task 2.\nHost 2 is interested in task 8.\nHost 6 is interested in task 5.\nHost 9 is interested in task 9.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 2 is interested in task 4.\nHost 2 is interested in task 0.\nHost 0 is interested in task 7.\nHost 1 is interested in task 1.\nHost 10 is interested in task 2.\nHost 9 is interested in task 8.\nHost 2 is interested in task 1.\nHost 3 is interested in task 6.\nHost 11 is interested in task 1.\nHost 10 is interested in task 1.\nHost 5 is interested in task 6.\nHost 4 is interested in task 8.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 10 is interested in task 4.\nHost 10 is interested in task 3.\nHost 9 is interested in task 6.\nHost 5 is interested in task 0.\nHost 8 is interested in task 4.\nHost 7 is interested in task 6.\nHost 1 is interested in task 6.\nHost 11 is interested in task 7.\nHost 8 is interested in task 3.\nHost 3 is interested in task 5.\nHost 7 is interested in task 9.\nHost 10 is interested in task 9.\nHost 2 is interested in task 3.\nHost 7 is interested in task 3.\nHost 10 is interested in task 7.\nHost 4 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph481", "image": "data/matching/graph_visual/hard/graph481.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 6.\nHost 8 is interested in task 1.\nHost 11 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 2.\nHost 11 is interested in task 1.\nHost 11 is interested in task 0.\nHost 5 is interested in task 4.\nHost 6 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 7.\nHost 10 is interested in task 1.\nHost 2 is interested in task 4.\nHost 5 is interested in task 7.\nHost 1 is interested in task 2.\nHost 11 is interested in task 7.\nHost 10 is interested in task 5.\nHost 2 is interested in task 9.\nHost 2 is interested in task 10.\nHost 10 is interested in task 3.\nHost 1 is interested in task 10.\nHost 6 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 5.\nHost 2 is interested in task 2.\nHost 9 is interested in task 5.\nHost 9 is interested in task 9.\nHost 9 is interested in task 7.\nHost 9 is interested in task 8.\nHost 3 is interested in task 6.\nHost 7 is interested in task 6.\nHost 7 is interested in task 3.\nHost 8 is interested in task 2.\nHost 10 is interested in task 8.\nHost 2 is interested in task 6.\nHost 1 is interested in task 9.\nHost 0 is interested in task 6.\nHost 10 is interested in task 7.\nHost 2 is interested in task 7.\nHost 2 is interested in task 8.\nHost 9 is interested in task 10.\nHost 4 is interested in task 1.\nHost 11 is interested in task 9.\nHost 1 is interested in task 1.\nHost 10 is interested in task 6.\nHost 6 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 0.\nHost 8 is interested in task 4.\nHost 0 is interested in task 7.\nHost 9 is interested in task 2.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1229", "image": "data/matching/graph_visual/hard/graph1229.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 2 is interested in task 5.\nHost 13 is interested in task 14.\nHost 13 is interested in task 6.\nHost 6 is interested in task 6.\nHost 13 is interested in task 15.\nHost 11 is interested in task 8.\nHost 13 is interested in task 4.\nHost 11 is interested in task 1.\nHost 10 is interested in task 11.\nHost 11 is interested in task 9.\nHost 4 is interested in task 14.\nHost 12 is interested in task 10.\nHost 3 is interested in task 14.\nHost 1 is interested in task 4.\nHost 8 is interested in task 8.\nHost 6 is interested in task 14.\nHost 14 is interested in task 14.\nHost 11 is interested in task 2.\nHost 10 is interested in task 15.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 0 is interested in task 10.\nHost 10 is interested in task 0.\nHost 10 is interested in task 13.\nHost 4 is interested in task 15.\nHost 5 is interested in task 14.\nHost 14 is interested in task 15.\nHost 9 is interested in task 7.\nHost 2 is interested in task 0.\nHost 11 is interested in task 12.\nHost 11 is interested in task 10.\nHost 10 is interested in task 16.\nHost 0 is interested in task 11.\nHost 13 is interested in task 16.\nHost 4 is interested in task 7.\nHost 10 is interested in task 10.\nHost 14 is interested in task 5.\nHost 11 is interested in task 6.\nHost 2 is interested in task 15.\nHost 14 is interested in task 13.\nHost 9 is interested in task 14.\nHost 5 is interested in task 12.\nHost 11 is interested in task 5.\nHost 0 is interested in task 1.\nHost 14 is interested in task 1.\nHost 2 is interested in task 3.\nHost 9 is interested in task 6.\nHost 4 is interested in task 5.\nHost 6 is interested in task 13.\nHost 2 is interested in task 9.\nHost 6 is interested in task 9.\nHost 10 is interested in task 2.\nHost 1 is interested in task 6.\nHost 12 is interested in task 3.\nHost 10 is interested in task 7.\nHost 10 is interested in task 3.\nHost 0 is interested in task 14.\nHost 11 is interested in task 0.\nHost 14 is interested in task 16.\nHost 12 is interested in task 9.\nHost 14 is interested in task 10.\nHost 9 is interested in task 13.\nHost 13 is interested in task 3.\nHost 11 is interested in task 7.\nHost 11 is interested in task 11.\nHost 2 is interested in task 1.\nHost 5 is interested in task 5.\nHost 10 is interested in task 4.\nHost 3 is interested in task 5.\nHost 10 is interested in task 6.\nHost 14 is interested in task 4.\nHost 5 is interested in task 0.\nHost 9 is interested in task 2.\nHost 2 is interested in task 13.\nHost 8 is interested in task 15.\nHost 6 is interested in task 11.\nHost 14 is interested in task 8.\nHost 13 is interested in task 8.\nHost 2 is interested in task 11.\nHost 13 is interested in task 2.\nHost 1 is interested in task 0.\nHost 11 is interested in task 4.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 9 is interested in task 16.\nHost 1 is interested in task 10.\nHost 12 is interested in task 2.\nHost 6 is interested in task 7.\nHost 12 is interested in task 6.\nHost 12 is interested in task 7.\nHost 4 is interested in task 0.\nHost 14 is interested in task 11.\nHost 11 is interested in task 3.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph796", "image": "data/matching/graph_visual/hard/graph796.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 8.\nHost 10 is interested in task 4.\nHost 4 is interested in task 10.\nHost 7 is interested in task 1.\nHost 6 is interested in task 11.\nHost 11 is interested in task 13.\nHost 7 is interested in task 13.\nHost 7 is interested in task 4.\nHost 10 is interested in task 9.\nHost 6 is interested in task 6.\nHost 12 is interested in task 12.\nHost 1 is interested in task 14.\nHost 12 is interested in task 13.\nHost 1 is interested in task 2.\nHost 11 is interested in task 11.\nHost 6 is interested in task 9.\nHost 6 is interested in task 14.\nHost 5 is interested in task 13.\nHost 12 is interested in task 3.\nHost 7 is interested in task 3.\nHost 10 is interested in task 14.\nHost 11 is interested in task 3.\nHost 11 is interested in task 5.\nHost 9 is interested in task 12.\nHost 10 is interested in task 8.\nHost 6 is interested in task 2.\nHost 11 is interested in task 0.\nHost 12 is interested in task 2.\nHost 5 is interested in task 9.\nHost 0 is interested in task 14.\nHost 0 is interested in task 6.\nHost 3 is interested in task 6.\nHost 12 is interested in task 5.\nHost 4 is interested in task 14.\nHost 3 is interested in task 12.\nHost 7 is interested in task 14.\nHost 1 is interested in task 7.\nHost 9 is interested in task 1.\nHost 2 is interested in task 7.\nHost 11 is interested in task 7.\nHost 12 is interested in task 0.\nHost 8 is interested in task 13.\nHost 12 is interested in task 14.\nHost 12 is interested in task 6.\nHost 6 is interested in task 8.\nHost 7 is interested in task 2.\nHost 2 is interested in task 10.\nHost 2 is interested in task 6.\nHost 4 is interested in task 1.\nHost 7 is interested in task 8.\nHost 5 is interested in task 14.\nHost 11 is interested in task 12.\nHost 4 is interested in task 2.\nHost 4 is interested in task 7.\nHost 3 is interested in task 4.\nHost 0 is interested in task 10.\nHost 1 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 5.\nHost 5 is interested in task 12.\nHost 11 is interested in task 2.\nHost 9 is interested in task 14.\nHost 1 is interested in task 10.\nHost 4 is interested in task 5.\nHost 3 is interested in task 9.\nHost 8 is interested in task 14.\nHost 3 is interested in task 10.\nHost 3 is interested in task 8.\nHost 10 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 6.\nHost 5 is interested in task 6.\nHost 11 is interested in task 10.\nHost 3 is interested in task 2.\nHost 3 is interested in task 5.\nHost 10 is interested in task 7.\nHost 9 is interested in task 8.\nHost 5 is interested in task 1.\nHost 9 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1046", "image": "data/matching/graph_visual/hard/graph1046.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 1.\nHost 11 is interested in task 12.\nHost 6 is interested in task 0.\nHost 6 is interested in task 2.\nHost 4 is interested in task 13.\nHost 8 is interested in task 7.\nHost 8 is interested in task 5.\nHost 1 is interested in task 15.\nHost 11 is interested in task 9.\nHost 0 is interested in task 1.\nHost 6 is interested in task 7.\nHost 3 is interested in task 14.\nHost 11 is interested in task 0.\nHost 6 is interested in task 14.\nHost 0 is interested in task 12.\nHost 1 is interested in task 1.\nHost 8 is interested in task 3.\nHost 6 is interested in task 9.\nHost 12 is interested in task 6.\nHost 5 is interested in task 6.\nHost 5 is interested in task 11.\nHost 11 is interested in task 13.\nHost 12 is interested in task 14.\nHost 10 is interested in task 15.\nHost 13 is interested in task 3.\nHost 12 is interested in task 10.\nHost 1 is interested in task 14.\nHost 9 is interested in task 10.\nHost 5 is interested in task 10.\nHost 11 is interested in task 10.\nHost 6 is interested in task 16.\nHost 10 is interested in task 14.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 3 is interested in task 10.\nHost 12 is interested in task 4.\nHost 3 is interested in task 2.\nHost 12 is interested in task 16.\nHost 2 is interested in task 3.\nHost 1 is interested in task 11.\nHost 8 is interested in task 10.\nHost 2 is interested in task 4.\nHost 0 is interested in task 7.\nHost 7 is interested in task 4.\nHost 2 is interested in task 10.\nHost 5 is interested in task 8.\nHost 1 is interested in task 3.\nHost 0 is interested in task 6.\nHost 2 is interested in task 1.\nHost 4 is interested in task 16.\nHost 13 is interested in task 14.\nHost 2 is interested in task 8.\nHost 3 is interested in task 4.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 3 is interested in task 11.\nHost 1 is interested in task 0.\nHost 3 is interested in task 15.\nHost 8 is interested in task 11.\nHost 7 is interested in task 1.\nHost 0 is interested in task 8.\nHost 11 is interested in task 14.\nHost 9 is interested in task 3.\nHost 4 is interested in task 12.\nHost 6 is interested in task 4.\nHost 10 is interested in task 11.\nHost 3 is interested in task 6.\nHost 11 is interested in task 4.\nHost 2 is interested in task 7.\nHost 11 is interested in task 5.\nHost 7 is interested in task 10.\nHost 11 is interested in task 3.\nHost 0 is interested in task 16.\nHost 9 is interested in task 1.\nHost 11 is interested in task 7.\nHost 6 is interested in task 5.\nHost 5 is interested in task 14.\nHost 13 is interested in task 6.\nHost 5 is interested in task 3.\nHost 12 is interested in task 5.\nHost 7 is interested in task 3.\nHost 8 is interested in task 9.\nHost 2 is interested in task 16.\nHost 12 is interested in task 1.\nHost 5 is interested in task 0.\nHost 1 is interested in task 4.\nHost 8 is interested in task 16.\nHost 1 is interested in task 2.\nHost 0 is interested in task 15.\nHost 4 is interested in task 0.\nHost 7 is interested in task 6.\nHost 9 is interested in task 15.\nHost 10 is interested in task 9.\nHost 6 is interested in task 15.\nHost 10 is interested in task 4.\nHost 11 is interested in task 2.\nHost 7 is interested in task 15.\nHost 3 is interested in task 9.\nHost 4 is interested in task 5.\nHost 5 is interested in task 9.\nHost 9 is interested in task 11.\nHost 8 is interested in task 13.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph119", "image": "data/matching/graph_visual/hard/graph119.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 2 is interested in task 0.\nHost 7 is interested in task 5.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 3 is interested in task 2.\nHost 9 is interested in task 4.\nHost 5 is interested in task 9.\nHost 9 is interested in task 6.\nHost 4 is interested in task 0.\nHost 4 is interested in task 9.\nHost 6 is interested in task 6.\nHost 3 is interested in task 6.\nHost 6 is interested in task 9.\nHost 1 is interested in task 8.\nHost 8 is interested in task 9.\nHost 7 is interested in task 7.\nHost 5 is interested in task 8.\nHost 9 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 9 is interested in task 5.\nHost 9 is interested in task 3.\nHost 8 is interested in task 2.\nHost 8 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5.\nHost 1 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 7.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 4 is interested in task 3.\nHost 0 is interested in task 7.\nHost 3 is interested in task 7.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph775", "image": "data/matching/graph_visual/hard/graph775.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 1.\nHost 11 is interested in task 12.\nHost 9 is interested in task 13.\nHost 3 is interested in task 13.\nHost 7 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 10 is interested in task 7.\nHost 11 is interested in task 2.\nHost 2 is interested in task 9.\nHost 9 is interested in task 12.\nHost 6 is interested in task 12.\nHost 1 is interested in task 7.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 10 is interested in task 5.\nHost 1 is interested in task 10.\nHost 0 is interested in task 9.\nHost 12 is interested in task 10.\nHost 2 is interested in task 3.\nHost 9 is interested in task 8.\nHost 6 is interested in task 2.\nHost 12 is interested in task 1.\nHost 2 is interested in task 4.\nHost 4 is interested in task 4.\nHost 0 is interested in task 6.\nHost 8 is interested in task 11.\nHost 10 is interested in task 12.\nHost 4 is interested in task 11.\nHost 7 is interested in task 4.\nHost 3 is interested in task 8.\nHost 7 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 10.\nHost 5 is interested in task 7.\nHost 3 is interested in task 11.\nHost 1 is interested in task 9.\nHost 9 is interested in task 2.\nHost 2 is interested in task 5.\nHost 5 is interested in task 2.\nHost 0 is interested in task 10.\nHost 10 is interested in task 1.\nHost 0 is interested in task 3.\nHost 7 is interested in task 1.\nHost 12 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 8.\nHost 6 is interested in task 5.\nHost 1 is interested in task 1.\nHost 0 is interested in task 5.\nHost 1 is interested in task 0.\nHost 2 is interested in task 12.\nHost 5 is interested in task 12.\nHost 12 is interested in task 9.\nHost 7 is interested in task 12.\nHost 11 is interested in task 8.\nHost 4 is interested in task 1.\nHost 12 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph70", "image": "data/matching/graph_visual/hard/graph70.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 5 is interested in task 2.\nHost 2 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 6.\nHost 9 is interested in task 8.\nHost 5 is interested in task 7.\nHost 0 is interested in task 8.\nHost 3 is interested in task 5.\nHost 6 is interested in task 8.\nHost 8 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 1.\nHost 2 is interested in task 6.\nHost 0 is interested in task 4.\nHost 0 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 8.\nHost 9 is interested in task 5.\nHost 3 is interested in task 6.\nHost 3 is interested in task 4.\nHost 6 is interested in task 1.\nHost 0 is interested in task 5.\nHost 3 is interested in task 3.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 2.\nHost 4 is interested in task 6.\nHost 0 is interested in task 0.\nHost 7 is interested in task 6.\nHost 8 is interested in task 2.\nHost 2 is interested in task 5.\nHost 7 is interested in task 4.\nHost 7 is interested in task 7.\nHost 9 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 2.\nHost 0 is interested in task 2.\nHost 6 is interested in task 7.\nHost 7 is interested in task 8.\nHost 7 is interested in task 3.\nHost 1 is interested in task 8.\nHost 3 is interested in task 0.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph501", "image": "data/matching/graph_visual/hard/graph501.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 5 is interested in task 8.\nHost 9 is interested in task 10.\nHost 0 is interested in task 6.\nHost 8 is interested in task 7.\nHost 2 is interested in task 4.\nHost 7 is interested in task 2.\nHost 10 is interested in task 2.\nHost 5 is interested in task 2.\nHost 2 is interested in task 5.\nHost 8 is interested in task 1.\nHost 7 is interested in task 5.\nHost 3 is interested in task 2.\nHost 4 is interested in task 9.\nHost 7 is interested in task 3.\nHost 2 is interested in task 0.\nHost 6 is interested in task 4.\nHost 4 is interested in task 6.\nHost 7 is interested in task 10.\nHost 8 is interested in task 3.\nHost 3 is interested in task 6.\nHost 5 is interested in task 6.\nHost 1 is interested in task 5.\nHost 7 is interested in task 9.\nHost 11 is interested in task 1.\nHost 3 is interested in task 1.\nHost 5 is interested in task 4.\nHost 6 is interested in task 8.\nHost 6 is interested in task 0.\nHost 5 is interested in task 7.\nHost 4 is interested in task 2.\nHost 7 is interested in task 8.\nHost 0 is interested in task 5.\nHost 8 is interested in task 8.\nHost 2 is interested in task 6.\nHost 7 is interested in task 0.\nHost 6 is interested in task 1.\nHost 2 is interested in task 1.\nHost 11 is interested in task 3.\nHost 4 is interested in task 10.\nHost 5 is interested in task 3.\nHost 4 is interested in task 5.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph871", "image": "data/matching/graph_visual/hard/graph871.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 7 is interested in task 4.\nHost 6 is interested in task 3.\nHost 6 is interested in task 10.\nHost 5 is interested in task 0.\nHost 4 is interested in task 1.\nHost 3 is interested in task 9.\nHost 5 is interested in task 5.\nHost 4 is interested in task 2.\nHost 2 is interested in task 6.\nHost 12 is interested in task 2.\nHost 6 is interested in task 11.\nHost 8 is interested in task 0.\nHost 11 is interested in task 7.\nHost 1 is interested in task 10.\nHost 1 is interested in task 6.\nHost 7 is interested in task 11.\nHost 6 is interested in task 8.\nHost 5 is interested in task 1.\nHost 11 is interested in task 9.\nHost 2 is interested in task 8.\nHost 3 is interested in task 5.\nHost 11 is interested in task 0.\nHost 8 is interested in task 5.\nHost 6 is interested in task 0.\nHost 1 is interested in task 1.\nHost 1 is interested in task 5.\nHost 5 is interested in task 3.\nHost 11 is interested in task 10.\nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 6 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 9.\nHost 0 is interested in task 4.\nHost 13 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 0.\nHost 12 is interested in task 9.\nHost 5 is interested in task 4.\nHost 4 is interested in task 8.\nHost 10 is interested in task 3.\nHost 10 is interested in task 10.\nHost 5 is interested in task 7.\nHost 11 is interested in task 3.\nHost 12 is interested in task 4.\nHost 7 is interested in task 9.\nHost 1 is interested in task 8.\nHost 9 is interested in task 11.\nHost 10 is interested in task 0.\nHost 5 is interested in task 6.\nHost 3 is interested in task 3.\nHost 1 is interested in task 11.\nHost 13 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph687", "image": "data/matching/graph_visual/hard/graph687.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 9.\nHost 9 is interested in task 6.\nHost 11 is interested in task 6.\nHost 6 is interested in task 5.\nHost 10 is interested in task 9.\nHost 9 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 8.\nHost 6 is interested in task 4.\nHost 12 is interested in task 4.\nHost 3 is interested in task 10.\nHost 8 is interested in task 4.\nHost 11 is interested in task 10.\nHost 3 is interested in task 1.\nHost 4 is interested in task 9.\nHost 12 is interested in task 0.\nHost 3 is interested in task 0.\nHost 12 is interested in task 9.\nHost 0 is interested in task 3.\nHost 6 is interested in task 10.\nHost 1 is interested in task 1.\nHost 5 is interested in task 2.\nHost 6 is interested in task 2.\nHost 4 is interested in task 4.\nHost 10 is interested in task 7.\nHost 5 is interested in task 0.\nHost 8 is interested in task 2.\nHost 0 is interested in task 9.\nHost 2 is interested in task 3.\nHost 6 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 7.\nHost 8 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 6.\nHost 12 is interested in task 6.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 0 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 1.\nHost 2 is interested in task 5.\nHost 2 is interested in task 2.\nHost 11 is interested in task 4.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 11 is interested in task 8.\nHost 7 is interested in task 9.\nHost 1 is interested in task 6.\nHost 8 is interested in task 10.\nHost 4 is interested in task 7.\nHost 11 is interested in task 9.\nHost 12 is interested in task 2.\nHost 7 is interested in task 1.\nHost 6 is interested in task 9.\nHost 10 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 8.\nHost 0 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph518", "image": "data/matching/graph_visual/hard/graph518.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 4.\nHost 7 is interested in task 5.\nHost 8 is interested in task 0.\nHost 4 is interested in task 8.\nHost 5 is interested in task 1.\nHost 11 is interested in task 8.\nHost 7 is interested in task 6.\nHost 7 is interested in task 8.\nHost 6 is interested in task 2.\nHost 8 is interested in task 9.\nHost 10 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 6.\nHost 8 is interested in task 2.\nHost 3 is interested in task 8.\nHost 8 is interested in task 11.\nHost 2 is interested in task 7.\nHost 0 is interested in task 8.\nHost 7 is interested in task 9.\nHost 6 is interested in task 11.\nHost 6 is interested in task 4.\nHost 9 is interested in task 11.\nHost 0 is interested in task 0.\nHost 7 is interested in task 1.\nHost 9 is interested in task 1.\nHost 5 is interested in task 3.\nHost 5 is interested in task 8.\nHost 5 is interested in task 10.\nHost 7 is interested in task 4.\nHost 0 is interested in task 11.\nHost 2 is interested in task 8.\nHost 6 is interested in task 1.\nHost 7 is interested in task 0.\nHost 4 is interested in task 5.\nHost 1 is interested in task 2.\nHost 9 is interested in task 7.\nHost 0 is interested in task 6.\nHost 4 is interested in task 6.\nHost 3 is interested in task 0.\nHost 8 is interested in task 8.\nHost 9 is interested in task 10.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 10 is interested in task 11.\nHost 9 is interested in task 2.\nHost 1 is interested in task 4.\nHost 10 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph970", "image": "data/matching/graph_visual/hard/graph970.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 14.\nHost 5 is interested in task 10.\nHost 5 is interested in task 7.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 6 is interested in task 4.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 6 is interested in task 13.\nHost 3 is interested in task 8.\nHost 8 is interested in task 5.\nHost 13 is interested in task 3.\nHost 9 is interested in task 14.\nHost 1 is interested in task 10.\nHost 8 is interested in task 10.\nHost 12 is interested in task 10.\nHost 1 is interested in task 11.\nHost 6 is interested in task 5.\nHost 12 is interested in task 7.\nHost 10 is interested in task 8.\nHost 13 is interested in task 9.\nHost 11 is interested in task 4.\nHost 10 is interested in task 10.\nHost 0 is interested in task 7.\nHost 1 is interested in task 6.\nHost 10 is interested in task 12.\nHost 4 is interested in task 1.\nHost 12 is interested in task 1.\nHost 2 is interested in task 2.\nHost 6 is interested in task 7.\nHost 0 is interested in task 11.\nHost 1 is interested in task 14.\nHost 1 is interested in task 12.\nHost 13 is interested in task 7.\nHost 1 is interested in task 7.\nHost 2 is interested in task 14.\nHost 6 is interested in task 1.\nHost 3 is interested in task 7.\nHost 10 is interested in task 0.\nHost 2 is interested in task 10.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 10 is interested in task 9.\nHost 10 is interested in task 5.\nHost 13 is interested in task 1.\nHost 6 is interested in task 11.\nHost 3 is interested in task 12.\nHost 7 is interested in task 0.\nHost 5 is interested in task 13.\nHost 8 is interested in task 8.\nHost 12 is interested in task 0.\nHost 7 is interested in task 3.\nHost 1 is interested in task 4.\nHost 9 is interested in task 5.\nHost 6 is interested in task 8.\nHost 13 is interested in task 5.\nHost 1 is interested in task 9.\nHost 8 is interested in task 0.\nHost 6 is interested in task 12.\nHost 9 is interested in task 6.\nHost 4 is interested in task 12.\nHost 7 is interested in task 8.\nHost 11 is interested in task 8.\nHost 3 is interested in task 13.\nHost 8 is interested in task 6.\nHost 1 is interested in task 3.\nHost 13 is interested in task 11.\nHost 1 is interested in task 8.\nHost 7 is interested in task 5.\nHost 3 is interested in task 9.\nHost 6 is interested in task 6.\nHost 0 is interested in task 9.\nHost 2 is interested in task 0.\nHost 12 is interested in task 3.\nHost 10 is interested in task 14.\nHost 2 is interested in task 7.\nHost 7 is interested in task 1.\nHost 12 is interested in task 12.\nHost 13 is interested in task 12.\nHost 4 is interested in task 9.\nHost 11 is interested in task 9.\nHost 3 is interested in task 2.\nHost 2 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph990", "image": "data/matching/graph_visual/hard/graph990.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 13.\nHost 8 is interested in task 3.\nHost 3 is interested in task 10.\nHost 12 is interested in task 1.\nHost 2 is interested in task 8.\nHost 11 is interested in task 14.\nHost 13 is interested in task 6.\nHost 7 is interested in task 10.\nHost 13 is interested in task 4.\nHost 3 is interested in task 5.\nHost 4 is interested in task 15.\nHost 13 is interested in task 2.\nHost 8 is interested in task 11.\nHost 12 is interested in task 11.\nHost 8 is interested in task 1.\nHost 10 is interested in task 8.\nHost 10 is interested in task 15.\nHost 13 is interested in task 12.\nHost 13 is interested in task 8.\nHost 6 is interested in task 8.\nHost 8 is interested in task 13.\nHost 2 is interested in task 1.\nHost 4 is interested in task 6.\nHost 8 is interested in task 0.\nHost 3 is interested in task 9.\nHost 7 is interested in task 7.\nHost 11 is interested in task 1.\nHost 5 is interested in task 9.\nHost 1 is interested in task 12.\nHost 7 is interested in task 3.\nHost 6 is interested in task 3.\nHost 13 is interested in task 7.\nHost 5 is interested in task 8.\nHost 10 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 13.\nHost 6 is interested in task 2.\nHost 12 is interested in task 14.\nHost 3 is interested in task 3.\nHost 11 is interested in task 15.\nHost 6 is interested in task 6.\nHost 5 is interested in task 7.\nHost 12 is interested in task 4.\nHost 7 is interested in task 1.\nHost 4 is interested in task 9.\nHost 11 is interested in task 7.\nHost 0 is interested in task 8.\nHost 9 is interested in task 2.\nHost 6 is interested in task 0.\nHost 0 is interested in task 5.\nHost 1 is interested in task 15.\nHost 10 is interested in task 14.\nHost 13 is interested in task 15.\nHost 12 is interested in task 3.\nHost 7 is interested in task 5.\nHost 8 is interested in task 14.\nHost 8 is interested in task 9.\nHost 5 is interested in task 12.\nHost 6 is interested in task 11.\nHost 5 is interested in task 11.\nHost 5 is interested in task 2.\nHost 3 is interested in task 13.\nHost 8 is interested in task 2.\nHost 3 is interested in task 4.\nHost 7 is interested in task 0.\nHost 3 is interested in task 14.\nHost 2 is interested in task 15.\nHost 10 is interested in task 4.\nHost 11 is interested in task 3.\nHost 11 is interested in task 11.\nHost 9 is interested in task 0.\nHost 6 is interested in task 10.\nHost 1 is interested in task 9.\nHost 13 is interested in task 3.\nHost 8 is interested in task 15.\nHost 4 is interested in task 14.\nHost 0 is interested in task 14.\nHost 3 is interested in task 6.\nHost 5 is interested in task 14.\nHost 4 is interested in task 11.\nHost 9 is interested in task 8.\nHost 11 is interested in task 8.\nHost 0 is interested in task 3.\nHost 11 is interested in task 0.\nHost 13 is interested in task 10.\nHost 11 is interested in task 2.\nHost 6 is interested in task 14.\nHost 1 is interested in task 8.\nHost 10 is interested in task 0.\nHost 8 is interested in task 10.\nHost 7 is interested in task 12.\nHost 5 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph943", "image": "data/matching/graph_visual/hard/graph943.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 9.\nHost 6 is interested in task 2.\nHost 4 is interested in task 11.\nHost 4 is interested in task 6.\nHost 1 is interested in task 10.\nHost 4 is interested in task 1.\nHost 8 is interested in task 10.\nHost 0 is interested in task 12.\nHost 12 is interested in task 5.\nHost 7 is interested in task 6.\nHost 11 is interested in task 6.\nHost 5 is interested in task 0.\nHost 12 is interested in task 10.\nHost 9 is interested in task 4.\nHost 2 is interested in task 3.\nHost 8 is interested in task 8.\nHost 4 is interested in task 9.\nHost 7 is interested in task 1.\nHost 12 is interested in task 0.\nHost 0 is interested in task 1.\nHost 3 is interested in task 9.\nHost 3 is interested in task 10.\nHost 9 is interested in task 3.\nHost 9 is interested in task 13.\nHost 13 is interested in task 0.\nHost 1 is interested in task 7.\nHost 2 is interested in task 9.\nHost 12 is interested in task 12.\nHost 0 is interested in task 7.\nHost 8 is interested in task 3.\nHost 4 is interested in task 0.\nHost 13 is interested in task 3.\nHost 2 is interested in task 8.\nHost 8 is interested in task 7.\nHost 0 is interested in task 11.\nHost 10 is interested in task 13.\nHost 2 is interested in task 12.\nHost 10 is interested in task 7.\nHost 8 is interested in task 2.\nHost 9 is interested in task 9.\nHost 6 is interested in task 8.\nHost 1 is interested in task 4.\nHost 13 is interested in task 9.\nHost 7 is interested in task 0.\nHost 6 is interested in task 12.\nHost 9 is interested in task 11.\nHost 7 is interested in task 13.\nHost 6 is interested in task 6.\nHost 10 is interested in task 5.\nHost 12 is interested in task 3.\nHost 9 is interested in task 2.\nHost 0 is interested in task 13.\nHost 8 is interested in task 5.\nHost 5 is interested in task 11.\nHost 2 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 12.\nHost 6 is interested in task 3.\nHost 13 is interested in task 5.\nHost 4 is interested in task 2.\nHost 4 is interested in task 8.\nHost 13 is interested in task 7.\nHost 2 is interested in task 1.\nHost 8 is interested in task 9.\nHost 9 is interested in task 7.\nHost 8 is interested in task 0.\nHost 1 is interested in task 5.\nHost 10 is interested in task 4.\nHost 0 is interested in task 3.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 9 is interested in task 10.\nHost 8 is interested in task 12.\nHost 5 is interested in task 13.\nHost 6 is interested in task 7.\nHost 11 is interested in task 7.\nHost 11 is interested in task 1.\nHost 13 is interested in task 12.\nHost 12 is interested in task 9.\nHost 13 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 11.\nHost 13 is interested in task 13.\nHost 9 is interested in task 0.\nHost 8 is interested in task 6.\nHost 13 is interested in task 4.\nHost 4 is interested in task 13.\nHost 10 is interested in task 11.\nHost 10 is interested in task 12.\nHost 10 is interested in task 8.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph179", "image": "data/matching/graph_visual/hard/graph179.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 8.\nHost 1 is interested in task 8.\nHost 6 is interested in task 11.\nHost 2 is interested in task 8.\nHost 1 is interested in task 9.\nHost 6 is interested in task 6.\nHost 1 is interested in task 6.\nHost 6 is interested in task 10.\nHost 8 is interested in task 6.\nHost 0 is interested in task 8.\nHost 9 is interested in task 7.\nHost 9 is interested in task 6.\nHost 7 is interested in task 4.\nHost 3 is interested in task 10.\nHost 8 is interested in task 1.\nHost 9 is interested in task 8.\nHost 6 is interested in task 7.\nHost 2 is interested in task 3.\nHost 8 is interested in task 4.\nHost 4 is interested in task 6.\nHost 3 is interested in task 9.\nHost 1 is interested in task 4.\nHost 0 is interested in task 11.\nHost 1 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 2.\nHost 9 is interested in task 4.\nHost 0 is interested in task 6.\nHost 8 is interested in task 2.\nHost 5 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 5.\nHost 2 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 10.\nHost 8 is interested in task 8.\nHost 4 is interested in task 3.\nHost 7 is interested in task 0.\nHost 4 is interested in task 0.\nHost 3 is interested in task 4.\nHost 0 is interested in task 9.\nHost 6 is interested in task 4.\nHost 1 is interested in task 3.\nHost 2 is interested in task 7.\nHost 2 is interested in task 10.\nHost 8 is interested in task 5.\nHost 5 is interested in task 11.\nHost 9 is interested in task 1.\nHost 3 is interested in task 7.\nHost 5 is interested in task 8.\nHost 0 is interested in task 1.\nHost 9 is interested in task 10.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph710", "image": "data/matching/graph_visual/hard/graph710.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 9.\nHost 2 is interested in task 9.\nHost 6 is interested in task 2.\nHost 12 is interested in task 3.\nHost 4 is interested in task 10.\nHost 6 is interested in task 4.\nHost 1 is interested in task 0.\nHost 0 is interested in task 1.\nHost 8 is interested in task 11.\nHost 4 is interested in task 8.\nHost 2 is interested in task 4.\nHost 3 is interested in task 7.\nHost 12 is interested in task 8.\nHost 2 is interested in task 5.\nHost 3 is interested in task 8.\nHost 5 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 0.\nHost 11 is interested in task 0.\nHost 9 is interested in task 3.\nHost 3 is interested in task 6.\nHost 10 is interested in task 3.\nHost 8 is interested in task 9.\nHost 5 is interested in task 2.\nHost 12 is interested in task 2.\nHost 9 is interested in task 5.\nHost 8 is interested in task 10.\nHost 7 is interested in task 4.\nHost 8 is interested in task 2.\nHost 11 is interested in task 10.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 11 is interested in task 1.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 4 is interested in task 2.\nHost 0 is interested in task 4.\nHost 12 is interested in task 1.\nHost 11 is interested in task 7.\nHost 2 is interested in task 8.\nHost 8 is interested in task 0.\nHost 5 is interested in task 4.\nHost 1 is interested in task 3.\nHost 11 is interested in task 11.\nHost 2 is interested in task 10.\nHost 4 is interested in task 3.\nHost 1 is interested in task 11.\nHost 3 is interested in task 11.\nHost 6 is interested in task 0.\nHost 5 is interested in task 5.\nHost 1 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 10.\nHost 8 is interested in task 8.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3.\nHost 7 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 7.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 11 is interested in task 6.\nHost 9 is interested in task 2.\nHost 0 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1034", "image": "data/matching/graph_visual/hard/graph1034.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 9.\nHost 3 is interested in task 6.\nHost 13 is interested in task 2.\nHost 1 is interested in task 15.\nHost 4 is interested in task 13.\nHost 9 is interested in task 14.\nHost 2 is interested in task 7.\nHost 3 is interested in task 9.\nHost 13 is interested in task 16.\nHost 12 is interested in task 9.\nHost 3 is interested in task 4.\nHost 0 is interested in task 13.\nHost 5 is interested in task 7.\nHost 11 is interested in task 13.\nHost 10 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 15.\nHost 0 is interested in task 2.\nHost 8 is interested in task 12.\nHost 5 is interested in task 4.\nHost 5 is interested in task 13.\nHost 7 is interested in task 12.\nHost 7 is interested in task 8.\nHost 11 is interested in task 4.\nHost 8 is interested in task 14.\nHost 11 is interested in task 3.\nHost 11 is interested in task 6.\nHost 3 is interested in task 5.\nHost 4 is interested in task 10.\nHost 9 is interested in task 15.\nHost 2 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 3.\nHost 5 is interested in task 10.\nHost 8 is interested in task 11.\nHost 10 is interested in task 8.\nHost 12 is interested in task 5.\nHost 11 is interested in task 11.\nHost 8 is interested in task 8.\nHost 1 is interested in task 8.\nHost 10 is interested in task 14.\nHost 9 is interested in task 10.\nHost 6 is interested in task 16.\nHost 8 is interested in task 13.\nHost 6 is interested in task 13.\nHost 1 is interested in task 1.\nHost 6 is interested in task 14.\nHost 1 is interested in task 4.\nHost 5 is interested in task 9.\nHost 3 is interested in task 8.\nHost 7 is interested in task 11.\nHost 3 is interested in task 10.\nHost 12 is interested in task 1.\nHost 4 is interested in task 16.\nHost 6 is interested in task 15.\nHost 12 is interested in task 2.\nHost 5 is interested in task 6.\nHost 5 is interested in task 1.\nHost 0 is interested in task 10.\nHost 10 is interested in task 2.\nHost 13 is interested in task 5.\nHost 7 is interested in task 4.\nHost 2 is interested in task 4.\nHost 4 is interested in task 5.\nHost 4 is interested in task 3.\nHost 3 is interested in task 16.\nHost 7 is interested in task 7.\nHost 0 is interested in task 14.\nHost 13 is interested in task 13.\nHost 8 is interested in task 9.\nHost 7 is interested in task 13.\nHost 11 is interested in task 9.\nHost 3 is interested in task 11.\nHost 12 is interested in task 7.\nHost 0 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 6.\nHost 10 is interested in task 4.\nHost 5 is interested in task 5.\nHost 11 is interested in task 8.\nHost 4 is interested in task 15.\nHost 4 is interested in task 11.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 6 is interested in task 0.\nHost 10 is interested in task 10.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 5 is interested in task 0.\nHost 10 is interested in task 16.\nHost 0 is interested in task 9.\nHost 4 is interested in task 6.\nHost 8 is interested in task 5.\nHost 6 is interested in task 6.\nHost 2 is interested in task 14.\nHost 0 is interested in task 16.\nHost 9 is interested in task 7.\nHost 8 is interested in task 10.\nHost 6 is interested in task 1.\nHost 0 is interested in task 0.\nHost 5 is interested in task 16.\nHost 0 is interested in task 15.\nHost 13 is interested in task 4.\nHost 6 is interested in task 12.\nHost 10 is interested in task 6.\nHost 2 is interested in task 12.\nHost 1 is interested in task 3.\nHost 1 is interested in task 11.\nHost 2 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1136", "image": "data/matching/graph_visual/hard/graph1136.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 6 is interested in task 8.\nHost 9 is interested in task 9.\nHost 14 is interested in task 9.\nHost 0 is interested in task 7.\nHost 12 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 9.\nHost 1 is interested in task 0.\nHost 6 is interested in task 0.\nHost 7 is interested in task 4.\nHost 11 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 13.\nHost 11 is interested in task 13.\nHost 3 is interested in task 8.\nHost 12 is interested in task 8.\nHost 2 is interested in task 4.\nHost 6 is interested in task 7.\nHost 13 is interested in task 5.\nHost 3 is interested in task 4.\nHost 12 is interested in task 5.\nHost 13 is interested in task 7.\nHost 3 is interested in task 2.\nHost 14 is interested in task 2.\nHost 3 is interested in task 12.\nHost 7 is interested in task 3.\nHost 5 is interested in task 12.\nHost 13 is interested in task 12.\nHost 10 is interested in task 7.\nHost 0 is interested in task 9.\nHost 1 is interested in task 11.\nHost 12 is interested in task 1.\nHost 9 is interested in task 13.\nHost 14 is interested in task 1.\nHost 9 is interested in task 5.\nHost 1 is interested in task 2.\nHost 9 is interested in task 11.\nHost 0 is interested in task 13.\nHost 12 is interested in task 2.\nHost 3 is interested in task 5.\nHost 5 is interested in task 2.\nHost 5 is interested in task 3.\nHost 13 is interested in task 11.\nHost 8 is interested in task 10.\nHost 5 is interested in task 7.\nHost 7 is interested in task 9.\nHost 13 is interested in task 0.\nHost 6 is interested in task 13.\nHost 14 is interested in task 12.\nHost 3 is interested in task 6.\nHost 12 is interested in task 7.\nHost 7 is interested in task 13.\nHost 12 is interested in task 12.\nHost 12 is interested in task 3.\nHost 13 is interested in task 1.\nHost 12 is interested in task 11.\nHost 9 is interested in task 4.\nHost 6 is interested in task 11.\nHost 5 is interested in task 11.\nHost 12 is interested in task 13.\nHost 14 is interested in task 8.\nHost 0 is interested in task 8.\nHost 0 is interested in task 2.\nHost 9 is interested in task 10.\nHost 6 is interested in task 3.\nHost 10 is interested in task 1.\nHost 9 is interested in task 1.\nHost 1 is interested in task 10.\nHost 12 is interested in task 10.\nHost 7 is interested in task 8.\nHost 10 is interested in task 3.\nHost 14 is interested in task 4.\nHost 7 is interested in task 6.\nHost 7 is interested in task 2.\nHost 12 is interested in task 9.\nHost 2 is interested in task 6.\nHost 12 is interested in task 0.\nHost 10 is interested in task 9.\nHost 14 is interested in task 0.\nHost 14 is interested in task 5.\nHost 6 is interested in task 5.\nHost 5 is interested in task 5.\nHost 0 is interested in task 11.\nHost 9 is interested in task 7.\nHost 3 is interested in task 10.\nHost 0 is interested in task 5.\nHost 3 is interested in task 1.\nHost 8 is interested in task 12.\nHost 7 is interested in task 0.\nHost 0 is interested in task 6.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 0 is interested in task 4.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1087", "image": "data/matching/graph_visual/hard/graph1087.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 12.\nHost 8 is interested in task 2.\nHost 4 is interested in task 3.\nHost 11 is interested in task 12.\nHost 7 is interested in task 8.\nHost 3 is interested in task 8.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 5 is interested in task 7.\nHost 4 is interested in task 1.\nHost 8 is interested in task 5.\nHost 6 is interested in task 2.\nHost 1 is interested in task 4.\nHost 5 is interested in task 11.\nHost 6 is interested in task 5.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 8 is interested in task 1.\nHost 0 is interested in task 7.\nHost 3 is interested in task 10.\nHost 6 is interested in task 12.\nHost 10 is interested in task 7.\nHost 11 is interested in task 10.\nHost 10 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 6.\nHost 6 is interested in task 6.\nHost 8 is interested in task 11.\nHost 5 is interested in task 10.\nHost 9 is interested in task 11.\nHost 8 is interested in task 4.\nHost 8 is interested in task 10.\nHost 9 is interested in task 1.\nHost 10 is interested in task 9.\nHost 13 is interested in task 12.\nHost 6 is interested in task 9.\nHost 5 is interested in task 2.\nHost 3 is interested in task 2.\nHost 8 is interested in task 7.\nHost 12 is interested in task 12.\nHost 3 is interested in task 0.\nHost 13 is interested in task 8.\nHost 5 is interested in task 1.\nHost 11 is interested in task 8.\nHost 1 is interested in task 2.\nHost 9 is interested in task 5.\nHost 14 is interested in task 11.\nHost 8 is interested in task 9.\nHost 10 is interested in task 4.\nHost 5 is interested in task 4.\nHost 12 is interested in task 4.\nHost 0 is interested in task 3.\nHost 10 is interested in task 1.\nHost 3 is interested in task 5.\nHost 10 is interested in task 12.\nHost 3 is interested in task 4.\nHost 10 is interested in task 11.\nHost 7 is interested in task 9.\nHost 5 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1062", "image": "data/matching/graph_visual/hard/graph1062.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 3.\nHost 12 is interested in task 11.\nHost 3 is interested in task 7.\nHost 1 is interested in task 11.\nHost 5 is interested in task 8.\nHost 3 is interested in task 5.\nHost 4 is interested in task 1.\nHost 7 is interested in task 11.\nHost 7 is interested in task 4.\nHost 11 is interested in task 9.\nHost 0 is interested in task 6.\nHost 0 is interested in task 11.\nHost 9 is interested in task 1.\nHost 2 is interested in task 2.\nHost 2 is interested in task 9.\nHost 11 is interested in task 8.\nHost 8 is interested in task 10.\nHost 12 is interested in task 1.\nHost 4 is interested in task 8.\nHost 12 is interested in task 7.\nHost 3 is interested in task 10.\nHost 3 is interested in task 0.\nHost 11 is interested in task 5.\nHost 14 is interested in task 0.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 1.\nHost 11 is interested in task 3.\nHost 14 is interested in task 3.\nHost 12 is interested in task 2.\nHost 8 is interested in task 5.\nHost 4 is interested in task 5.\nHost 12 is interested in task 5.\nHost 2 is interested in task 6.\nHost 0 is interested in task 2.\nHost 11 is interested in task 0.\nHost 1 is interested in task 3.\nHost 9 is interested in task 10.\nHost 2 is interested in task 7.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 9 is interested in task 9.\nHost 13 is interested in task 9.\nHost 9 is interested in task 7.\nHost 0 is interested in task 0.\nHost 4 is interested in task 6.\nHost 7 is interested in task 9.\nHost 5 is interested in task 1.\nHost 0 is interested in task 9.\nHost 9 is interested in task 11.\nHost 14 is interested in task 2.\nHost 9 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 4.\nHost 9 is interested in task 5.\nHost 11 is interested in task 4.\nHost 9 is interested in task 8.\nHost 11 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 6.\nHost 5 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph737", "image": "data/matching/graph_visual/hard/graph737.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 5.\nHost 8 is interested in task 10.\nHost 10 is interested in task 4.\nHost 1 is interested in task 5.\nHost 12 is interested in task 10.\nHost 8 is interested in task 9.\nHost 6 is interested in task 11.\nHost 0 is interested in task 2.\nHost 9 is interested in task 4.\nHost 10 is interested in task 10.\nHost 9 is interested in task 9.\nHost 12 is interested in task 9.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 8 is interested in task 0.\nHost 1 is interested in task 8.\nHost 3 is interested in task 4.\nHost 0 is interested in task 12.\nHost 6 is interested in task 6.\nHost 10 is interested in task 2.\nHost 9 is interested in task 11.\nHost 11 is interested in task 6.\nHost 12 is interested in task 1.\nHost 1 is interested in task 3.\nHost 1 is interested in task 10.\nHost 2 is interested in task 9.\nHost 12 is interested in task 12.\nHost 3 is interested in task 11.\nHost 3 is interested in task 9.\nHost 4 is interested in task 11.\nHost 2 is interested in task 7.\nHost 2 is interested in task 8.\nHost 3 is interested in task 12.\nHost 6 is interested in task 3.\nHost 4 is interested in task 4.\nHost 0 is interested in task 7.\nHost 1 is interested in task 11.\nHost 0 is interested in task 8.\nHost 8 is interested in task 6.\nHost 8 is interested in task 12.\nHost 8 is interested in task 11.\nHost 0 is interested in task 1.\nHost 9 is interested in task 1.\nHost 0 is interested in task 6.\nHost 12 is interested in task 0.\nHost 2 is interested in task 0.\nHost 6 is interested in task 0.\nHost 8 is interested in task 7.\nHost 11 is interested in task 11.\nHost 1 is interested in task 6.\nHost 11 is interested in task 12.\nHost 9 is interested in task 8.\nHost 2 is interested in task 10.\nHost 4 is interested in task 1.\nHost 4 is interested in task 10.\nHost 0 is interested in task 5.\nHost 12 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 6.\nHost 12 is interested in task 7.\nHost 6 is interested in task 5.\nHost 12 is interested in task 5.\nHost 3 is interested in task 1.\nHost 6 is interested in task 4.\nHost 4 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1195", "image": "data/matching/graph_visual/hard/graph1195.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 15.\nHost 1 is interested in task 13.\nHost 12 is interested in task 4.\nHost 7 is interested in task 9.\nHost 0 is interested in task 9.\nHost 12 is interested in task 2.\nHost 0 is interested in task 5.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 4 is interested in task 13.\nHost 9 is interested in task 11.\nHost 8 is interested in task 0.\nHost 9 is interested in task 8.\nHost 0 is interested in task 2.\nHost 6 is interested in task 4.\nHost 7 is interested in task 12.\nHost 2 is interested in task 1.\nHost 1 is interested in task 3.\nHost 0 is interested in task 3.\nHost 2 is interested in task 8.\nHost 3 is interested in task 13.\nHost 13 is interested in task 9.\nHost 9 is interested in task 7.\nHost 4 is interested in task 10.\nHost 11 is interested in task 7.\nHost 11 is interested in task 11.\nHost 10 is interested in task 3.\nHost 7 is interested in task 14.\nHost 4 is interested in task 9.\nHost 13 is interested in task 13.\nHost 13 is interested in task 3.\nHost 10 is interested in task 9.\nHost 2 is interested in task 4.\nHost 13 is interested in task 12.\nHost 5 is interested in task 0.\nHost 8 is interested in task 1.\nHost 1 is interested in task 5.\nHost 1 is interested in task 15.\nHost 6 is interested in task 5.\nHost 3 is interested in task 12.\nHost 10 is interested in task 11.\nHost 13 is interested in task 10.\nHost 13 is interested in task 1.\nHost 1 is interested in task 2.\nHost 5 is interested in task 12.\nHost 8 is interested in task 15.\nHost 12 is interested in task 9.\nHost 9 is interested in task 4.\nHost 0 is interested in task 0.\nHost 11 is interested in task 2.\nHost 8 is interested in task 7.\nHost 1 is interested in task 14.\nHost 13 is interested in task 14.\nHost 6 is interested in task 9.\nHost 2 is interested in task 12.\nHost 6 is interested in task 13.\nHost 12 is interested in task 10.\nHost 3 is interested in task 1.\nHost 7 is interested in task 6.\nHost 13 is interested in task 4.\nHost 9 is interested in task 5.\nHost 4 is interested in task 12.\nHost 11 is interested in task 6.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 1 is interested in task 8.\nHost 4 is interested in task 0.\nHost 3 is interested in task 9.\nHost 5 is interested in task 5.\nHost 2 is interested in task 7.\nHost 13 is interested in task 6.\nHost 3 is interested in task 15.\nHost 7 is interested in task 10.\nHost 7 is interested in task 13.\nHost 2 is interested in task 11.\nHost 8 is interested in task 12.\nHost 5 is interested in task 3.\nHost 12 is interested in task 11.\nHost 5 is interested in task 7.\nHost 14 is interested in task 8.\nHost 4 is interested in task 1.\nHost 11 is interested in task 14.\nHost 0 is interested in task 13.\nHost 3 is interested in task 8.\nHost 12 is interested in task 14.\nHost 5 is interested in task 4.\nHost 4 is interested in task 2.\nHost 3 is interested in task 0.\nHost 4 is interested in task 8.\nHost 4 is interested in task 5.\nHost 12 is interested in task 13.\nHost 2 is interested in task 0.\nHost 5 is interested in task 13.\nHost 2 is interested in task 14.\nHost 8 is interested in task 8.\nHost 9 is interested in task 6.\nHost 4 is interested in task 4.\nHost 4 is interested in task 14.\nHost 13 is interested in task 15.\nHost 4 is interested in task 15.\nHost 3 is interested in task 11.\nHost 14 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1175", "image": "data/matching/graph_visual/hard/graph1175.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 12.\nHost 7 is interested in task 15.\nHost 5 is interested in task 0.\nHost 3 is interested in task 14.\nHost 1 is interested in task 7.\nHost 1 is interested in task 3.\nHost 10 is interested in task 13.\nHost 11 is interested in task 7.\nHost 2 is interested in task 2.\nHost 8 is interested in task 6.\nHost 2 is interested in task 10.\nHost 4 is interested in task 1.\nHost 7 is interested in task 4.\nHost 10 is interested in task 9.\nHost 12 is interested in task 6.\nHost 8 is interested in task 9.\nHost 9 is interested in task 1.\nHost 14 is interested in task 11.\nHost 14 is interested in task 12.\nHost 14 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 7.\nHost 3 is interested in task 10.\nHost 1 is interested in task 4.\nHost 12 is interested in task 3.\nHost 8 is interested in task 12.\nHost 6 is interested in task 1.\nHost 0 is interested in task 14.\nHost 13 is interested in task 8.\nHost 0 is interested in task 15.\nHost 1 is interested in task 10.\nHost 2 is interested in task 14.\nHost 13 is interested in task 11.\nHost 12 is interested in task 4.\nHost 13 is interested in task 4.\nHost 12 is interested in task 14.\nHost 3 is interested in task 2.\nHost 6 is interested in task 3.\nHost 11 is interested in task 2.\nHost 8 is interested in task 14.\nHost 14 is interested in task 10.\nHost 11 is interested in task 9.\nHost 8 is interested in task 7.\nHost 8 is interested in task 8.\nHost 13 is interested in task 9.\nHost 8 is interested in task 10.\nHost 0 is interested in task 8.\nHost 10 is interested in task 2.\nHost 6 is interested in task 0.\nHost 12 is interested in task 0.\nHost 12 is interested in task 11.\nHost 11 is interested in task 3.\nHost 14 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 7.\nHost 0 is interested in task 2.\nHost 8 is interested in task 4.\nHost 6 is interested in task 11.\nHost 0 is interested in task 7.\nHost 12 is interested in task 9.\nHost 13 is interested in task 10.\nHost 3 is interested in task 12.\nHost 0 is interested in task 3.\nHost 7 is interested in task 7.\nHost 7 is interested in task 2.\nHost 5 is interested in task 7.\nHost 14 is interested in task 13.\nHost 1 is interested in task 2.\nHost 14 is interested in task 9.\nHost 14 is interested in task 15.\nHost 6 is interested in task 5.\nHost 9 is interested in task 10.\nHost 13 is interested in task 3.\nHost 11 is interested in task 10.\nHost 11 is interested in task 13.\nHost 6 is interested in task 4.\nHost 8 is interested in task 0.\nHost 13 is interested in task 15.\nHost 6 is interested in task 8.\nHost 3 is interested in task 15.\nHost 2 is interested in task 7.\nHost 8 is interested in task 5.\nHost 14 is interested in task 5.\nHost 7 is interested in task 12.\nHost 14 is interested in task 8.\nHost 5 is interested in task 15.\nHost 10 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph9", "image": "data/matching/graph_visual/hard/graph9.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 0.\nHost 9 is interested in task 4.\nHost 2 is interested in task 3.\nHost 1 is interested in task 5.\nHost 8 is interested in task 5.\nHost 3 is interested in task 0.\nHost 9 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 2 is interested in task 4.\nHost 4 is interested in task 5.\nHost 8 is interested in task 0.\nHost 4 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 2.\nHost 9 is interested in task 1.\nHost 8 is interested in task 4.\nHost 7 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 6.\nHost 9 is interested in task 5.\nHost 1 is interested in task 6.\nHost 2 is interested in task 5.\nHost 0 is interested in task 1.\nHost 5 is interested in task 0.\nHost 1 is interested in task 0.\nHost 7 is interested in task 2.\nHost 6 is interested in task 1.\nHost 4 is interested in task 0.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 6 is interested in task 4.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph149", "image": "data/matching/graph_visual/hard/graph149.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 1 is interested in task 5.\nHost 8 is interested in task 7.\nHost 2 is interested in task 4.\nHost 2 is interested in task 5.\nHost 7 is interested in task 7.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 6.\nHost 8 is interested in task 5.\nHost 0 is interested in task 10.\nHost 0 is interested in task 0.\nHost 7 is interested in task 10.\nHost 2 is interested in task 0.\nHost 4 is interested in task 9.\nHost 3 is interested in task 4.\nHost 4 is interested in task 6.\nHost 1 is interested in task 8.\nHost 8 is interested in task 6.\nHost 9 is interested in task 3.\nHost 2 is interested in task 9.\nHost 6 is interested in task 4.\nHost 6 is interested in task 1.\nHost 2 is interested in task 7.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 5 is interested in task 5.\nHost 1 is interested in task 2.\nHost 0 is interested in task 5.\nHost 6 is interested in task 6.\nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 1 is interested in task 6.\nHost 0 is interested in task 8.\nHost 3 is interested in task 7.\nHost 5 is interested in task 9.\nHost 9 is interested in task 10.\nHost 5 is interested in task 3.\nHost 7 is interested in task 5.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 7 is interested in task 4.\nHost 6 is interested in task 10.\nHost 1 is interested in task 10.\nHost 1 is interested in task 9.\nHost 5 is interested in task 0.\nHost 0 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 7.\nHost 3 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 8.\nHost 9 is interested in task 1.\nHost 4 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 7.\nHost 9 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph153", "image": "data/matching/graph_visual/hard/graph153.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 11.\nHost 4 is interested in task 8.\nHost 5 is interested in task 2.\nHost 6 is interested in task 8.\nHost 7 is interested in task 10.\nHost 6 is interested in task 0.\nHost 1 is interested in task 7.\nHost 8 is interested in task 9.\nHost 6 is interested in task 10.\nHost 7 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 11.\nHost 0 is interested in task 4.\nHost 9 is interested in task 6.\nHost 9 is interested in task 10.\nHost 8 is interested in task 6.\nHost 3 is interested in task 5.\nHost 5 is interested in task 8.\nHost 5 is interested in task 1.\nHost 2 is interested in task 8.\nHost 8 is interested in task 7.\nHost 6 is interested in task 5.\nHost 2 is interested in task 1.\nHost 3 is interested in task 1.\nHost 3 is interested in task 6.\nHost 0 is interested in task 6.\nHost 4 is interested in task 1.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 3 is interested in task 8.\nHost 3 is interested in task 7.\nHost 6 is interested in task 9.\nHost 8 is interested in task 1.\nHost 1 is interested in task 1.\nHost 6 is interested in task 3.\nHost 5 is interested in task 9.\nHost 8 is interested in task 2.\nHost 5 is interested in task 6.\nHost 5 is interested in task 7.\nHost 2 is interested in task 0.\nHost 7 is interested in task 8.\nHost 4 is interested in task 7.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 9 is interested in task 4.\nHost 5 is interested in task 5.\nHost 1 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph985", "image": "data/matching/graph_visual/hard/graph985.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 12.\nHost 6 is interested in task 1.\nHost 12 is interested in task 11.\nHost 13 is interested in task 5.\nHost 8 is interested in task 10.\nHost 3 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 5.\nHost 3 is interested in task 14.\nHost 13 is interested in task 2.\nHost 0 is interested in task 2.\nHost 3 is interested in task 7.\nHost 5 is interested in task 10.\nHost 0 is interested in task 9.\nHost 12 is interested in task 5.\nHost 5 is interested in task 2.\nHost 1 is interested in task 9.\nHost 9 is interested in task 12.\nHost 6 is interested in task 9.\nHost 0 is interested in task 1.\nHost 1 is interested in task 11.\nHost 13 is interested in task 10.\nHost 5 is interested in task 9.\nHost 12 is interested in task 10.\nHost 2 is interested in task 9.\nHost 6 is interested in task 10.\nHost 13 is interested in task 8.\nHost 7 is interested in task 2.\nHost 11 is interested in task 8.\nHost 9 is interested in task 1.\nHost 9 is interested in task 0.\nHost 0 is interested in task 7.\nHost 7 is interested in task 3.\nHost 0 is interested in task 8.\nHost 9 is interested in task 10.\nHost 3 is interested in task 10.\nHost 3 is interested in task 4.\nHost 9 is interested in task 2.\nHost 3 is interested in task 12.\nHost 8 is interested in task 9.\nHost 8 is interested in task 1.\nHost 12 is interested in task 4.\nHost 7 is interested in task 8.\nHost 6 is interested in task 14.\nHost 9 is interested in task 4.\nHost 4 is interested in task 1.\nHost 3 is interested in task 11.\nHost 12 is interested in task 6.\nHost 12 is interested in task 8.\nHost 5 is interested in task 4.\nHost 7 is interested in task 1.\nHost 0 is interested in task 13.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 10.\nHost 9 is interested in task 13.\nHost 7 is interested in task 10.\nHost 3 is interested in task 9.\nHost 0 is interested in task 12.\nHost 4 is interested in task 10.\nHost 1 is interested in task 0.\nHost 7 is interested in task 11.\nHost 0 is interested in task 14.\nHost 3 is interested in task 1.\nHost 4 is interested in task 6.\nHost 3 is interested in task 6.\nHost 1 is interested in task 7.\nHost 4 is interested in task 9.\nHost 6 is interested in task 0.\nHost 4 is interested in task 12.\nHost 9 is interested in task 9.\nHost 7 is interested in task 6.\nHost 11 is interested in task 3.\nHost 13 is interested in task 13.\nHost 9 is interested in task 7.\nHost 6 is interested in task 12.\nHost 11 is interested in task 11.\nHost 4 is interested in task 7.\nHost 2 is interested in task 13.\nHost 3 is interested in task 13.\nHost 11 is interested in task 2.\nHost 2 is interested in task 2.\nHost 10 is interested in task 1.\nHost 10 is interested in task 9.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1135", "image": "data/matching/graph_visual/hard/graph1135.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 12.\nHost 13 is interested in task 13.\nHost 12 is interested in task 4.\nHost 8 is interested in task 3.\nHost 2 is interested in task 11.\nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 12 is interested in task 0.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 7 is interested in task 8.\nHost 1 is interested in task 8.\nHost 11 is interested in task 5.\nHost 11 is interested in task 12.\nHost 14 is interested in task 4.\nHost 9 is interested in task 4.\nHost 11 is interested in task 4.\nHost 8 is interested in task 1.\nHost 7 is interested in task 7.\nHost 13 is interested in task 8.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 10 is interested in task 10.\nHost 11 is interested in task 0.\nHost 6 is interested in task 10.\nHost 13 is interested in task 4.\nHost 13 is interested in task 12.\nHost 4 is interested in task 1.\nHost 12 is interested in task 12.\nHost 9 is interested in task 10.\nHost 14 is interested in task 9.\nHost 9 is interested in task 6.\nHost 9 is interested in task 3.\nHost 7 is interested in task 9.\nHost 2 is interested in task 7.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 12 is interested in task 2.\nHost 4 is interested in task 13.\nHost 1 is interested in task 13.\nHost 0 is interested in task 6.\nHost 12 is interested in task 1.\nHost 1 is interested in task 4.\nHost 6 is interested in task 2.\nHost 2 is interested in task 9.\nHost 12 is interested in task 7.\nHost 12 is interested in task 11.\nHost 14 is interested in task 8.\nHost 10 is interested in task 1.\nHost 6 is interested in task 3.\nHost 11 is interested in task 9.\nHost 0 is interested in task 10.\nHost 10 is interested in task 3.\nHost 7 is interested in task 13.\nHost 11 is interested in task 6.\nHost 7 is interested in task 5.\nHost 8 is interested in task 10.\nHost 10 is interested in task 11.\nHost 13 is interested in task 3.\nHost 9 is interested in task 1.\nHost 11 is interested in task 10.\nHost 3 is interested in task 5.\nHost 8 is interested in task 4.\nHost 10 is interested in task 7.\nHost 9 is interested in task 13.\nHost 3 is interested in task 13.\nHost 5 is interested in task 0.\nHost 12 is interested in task 10.\nHost 3 is interested in task 0.\nHost 14 is interested in task 11.\nHost 3 is interested in task 3.\nHost 1 is interested in task 7.\nHost 12 is interested in task 8.\nHost 2 is interested in task 1.\nHost 9 is interested in task 12.\nHost 8 is interested in task 0.\nHost 4 is interested in task 10.\nHost 1 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph168", "image": "data/matching/graph_visual/hard/graph168.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 5 is interested in task 9.\nHost 6 is interested in task 11.\nHost 0 is interested in task 7.\nHost 5 is interested in task 7.\nHost 4 is interested in task 4.\nHost 8 is interested in task 11.\nHost 5 is interested in task 3.\nHost 6 is interested in task 8.\nHost 8 is interested in task 0.\nHost 5 is interested in task 5.\nHost 6 is interested in task 1.\nHost 1 is interested in task 7.\nHost 7 is interested in task 4.\nHost 8 is interested in task 4.\nHost 5 is interested in task 4.\nHost 3 is interested in task 3.\nHost 5 is interested in task 11.\nHost 8 is interested in task 2.\nHost 8 is interested in task 8.\nHost 1 is interested in task 10.\nHost 9 is interested in task 10.\nHost 3 is interested in task 1.\nHost 0 is interested in task 9.\nHost 0 is interested in task 10.\nHost 4 is interested in task 5.\nHost 9 is interested in task 3.\nHost 6 is interested in task 4.\nHost 0 is interested in task 3.\nHost 8 is interested in task 6.\nHost 0 is interested in task 11.\nHost 7 is interested in task 11.\nHost 4 is interested in task 1.\nHost 3 is interested in task 0.\nHost 5 is interested in task 8.\nHost 7 is interested in task 6.\nHost 8 is interested in task 3.\nHost 7 is interested in task 8.\nHost 6 is interested in task 9.\nHost 0 is interested in task 0.\nHost 0 is interested in task 6.\nHost 8 is interested in task 1.\nHost 7 is interested in task 10.\nHost 6 is interested in task 6.\nHost 6 is interested in task 3.\nHost 9 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph457", "image": "data/matching/graph_visual/hard/graph457.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 5 is interested in task 3.\nHost 3 is interested in task 3.\nHost 3 is interested in task 5.\nHost 0 is interested in task 6.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 8 is interested in task 3.\nHost 1 is interested in task 6.\nHost 7 is interested in task 5.\nHost 5 is interested in task 4.\nHost 1 is interested in task 4.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 8 is interested in task 6.\nHost 2 is interested in task 5.\nHost 11 is interested in task 2.\nHost 6 is interested in task 5.\nHost 4 is interested in task 6.\nHost 8 is interested in task 9.\nHost 5 is interested in task 0.\nHost 9 is interested in task 8.\nHost 0 is interested in task 9.\nHost 2 is interested in task 6.\nHost 4 is interested in task 0.\nHost 4 is interested in task 5.\nHost 7 is interested in task 6.\nHost 9 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 0.\nHost 6 is interested in task 1.\nHost 11 is interested in task 6.\nHost 0 is interested in task 0.\nHost 11 is interested in task 1.\nHost 1 is interested in task 2.\nHost 8 is interested in task 8.\nHost 3 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 8 is interested in task 0.\nHost 5 is interested in task 9.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph665", "image": "data/matching/graph_visual/hard/graph665.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 6.\nHost 10 is interested in task 2.\nHost 3 is interested in task 7.\nHost 8 is interested in task 2.\nHost 6 is interested in task 4.\nHost 4 is interested in task 6.\nHost 10 is interested in task 9.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 4 is interested in task 1.\nHost 12 is interested in task 9.\nHost 6 is interested in task 3.\nHost 1 is interested in task 0.\nHost 7 is interested in task 3.\nHost 3 is interested in task 5.\nHost 10 is interested in task 10.\nHost 7 is interested in task 8.\nHost 11 is interested in task 2.\nHost 1 is interested in task 7.\nHost 11 is interested in task 4.\nHost 11 is interested in task 3.\nHost 10 is interested in task 3.\nHost 0 is interested in task 8.\nHost 9 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 7.\nHost 11 is interested in task 7.\nHost 7 is interested in task 5.\nHost 0 is interested in task 4.\nHost 6 is interested in task 5.\nHost 5 is interested in task 5.\nHost 8 is interested in task 0.\nHost 4 is interested in task 9.\nHost 8 is interested in task 6.\nHost 12 is interested in task 2.\nHost 5 is interested in task 9.\nHost 0 is interested in task 9.\nHost 9 is interested in task 8.\nHost 2 is interested in task 10.\nHost 1 is interested in task 1.\nHost 6 is interested in task 8.\nHost 6 is interested in task 2.\nHost 3 is interested in task 10.\nHost 9 is interested in task 6.\nHost 2 is interested in task 8.\nHost 9 is interested in task 9.\nHost 7 is interested in task 7.\nHost 2 is interested in task 3.\nHost 11 is interested in task 9.\nHost 2 is interested in task 9.\nHost 9 is interested in task 10.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 4 is interested in task 10.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 5 is interested in task 4.\nHost 10 is interested in task 8.\nHost 0 is interested in task 10.\nHost 3 is interested in task 8.\nHost 8 is interested in task 1.\nHost 10 is interested in task 5.\nHost 0 is interested in task 1.\nHost 11 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph847", "image": "data/matching/graph_visual/hard/graph847.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 0.\nHost 7 is interested in task 8.\nHost 6 is interested in task 0.\nHost 11 is interested in task 0.\nHost 12 is interested in task 9.\nHost 9 is interested in task 9.\nHost 0 is interested in task 3.\nHost 3 is interested in task 9.\nHost 2 is interested in task 3.\nHost 2 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 4.\nHost 13 is interested in task 1.\nHost 11 is interested in task 2.\nHost 2 is interested in task 10.\nHost 3 is interested in task 3.\nHost 5 is interested in task 3.\nHost 8 is interested in task 7.\nHost 7 is interested in task 7.\nHost 7 is interested in task 9.\nHost 8 is interested in task 4.\nHost 3 is interested in task 4.\nHost 13 is interested in task 3.\nHost 9 is interested in task 2.\nHost 6 is interested in task 10.\nHost 11 is interested in task 10.\nHost 12 is interested in task 5.\nHost 3 is interested in task 7.\nHost 8 is interested in task 2.\nHost 8 is interested in task 10.\nHost 0 is interested in task 0.\nHost 4 is interested in task 10.\nHost 13 is interested in task 7.\nHost 7 is interested in task 4.\nHost 8 is interested in task 5.\nHost 12 is interested in task 3.\nHost 11 is interested in task 5.\nHost 13 is interested in task 5.\nHost 8 is interested in task 1.\nHost 2 is interested in task 4.\nHost 9 is interested in task 6.\nHost 4 is interested in task 4.\nHost 3 is interested in task 6.\nHost 9 is interested in task 0.\nHost 12 is interested in task 8.\nHost 13 is interested in task 4.\nHost 11 is interested in task 9.\nHost 9 is interested in task 3.\nHost 10 is interested in task 10.\nHost 2 is interested in task 9.\nHost 9 is interested in task 1.\nHost 12 is interested in task 2.\nHost 7 is interested in task 0.\nHost 5 is interested in task 2.\nHost 5 is interested in task 7.\nHost 12 is interested in task 4.\nHost 11 is interested in task 7.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1219", "image": "data/matching/graph_visual/hard/graph1219.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 16.\nHost 1 is interested in task 11.\nHost 10 is interested in task 6.\nHost 14 is interested in task 11.\nHost 14 is interested in task 13.\nHost 14 is interested in task 6.\nHost 5 is interested in task 3.\nHost 2 is interested in task 11.\nHost 2 is interested in task 7.\nHost 10 is interested in task 5.\nHost 8 is interested in task 14.\nHost 1 is interested in task 0.\nHost 4 is interested in task 15.\nHost 2 is interested in task 8.\nHost 10 is interested in task 10.\nHost 14 is interested in task 2.\nHost 0 is interested in task 11.\nHost 5 is interested in task 2.\nHost 5 is interested in task 13.\nHost 7 is interested in task 4.\nHost 4 is interested in task 14.\nHost 11 is interested in task 4.\nHost 13 is interested in task 5.\nHost 1 is interested in task 10.\nHost 11 is interested in task 6.\nHost 8 is interested in task 0.\nHost 12 is interested in task 8.\nHost 0 is interested in task 0.\nHost 5 is interested in task 11.\nHost 9 is interested in task 3.\nHost 13 is interested in task 13.\nHost 10 is interested in task 14.\nHost 5 is interested in task 10.\nHost 12 is interested in task 2.\nHost 4 is interested in task 5.\nHost 7 is interested in task 1.\nHost 10 is interested in task 1.\nHost 14 is interested in task 0.\nHost 11 is interested in task 10.\nHost 9 is interested in task 0.\nHost 3 is interested in task 15.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 7 is interested in task 2.\nHost 0 is interested in task 12.\nHost 13 is interested in task 9.\nHost 7 is interested in task 9.\nHost 8 is interested in task 10.\nHost 11 is interested in task 0.\nHost 11 is interested in task 9.\nHost 0 is interested in task 13.\nHost 7 is interested in task 5.\nHost 1 is interested in task 12.\nHost 10 is interested in task 12.\nHost 13 is interested in task 6.\nHost 5 is interested in task 12.\nHost 2 is interested in task 12.\nHost 6 is interested in task 4.\nHost 8 is interested in task 9.\nHost 3 is interested in task 16.\nHost 1 is interested in task 14.\nHost 4 is interested in task 6.\nHost 4 is interested in task 8.\nHost 11 is interested in task 3.\nHost 10 is interested in task 4.\nHost 3 is interested in task 0.\nHost 2 is interested in task 10.\nHost 2 is interested in task 14.\nHost 3 is interested in task 8.\nHost 12 is interested in task 9.\nHost 4 is interested in task 1.\nHost 7 is interested in task 6.\nHost 9 is interested in task 2.\nHost 3 is interested in task 6.\nHost 1 is interested in task 3.\nHost 6 is interested in task 16.\nHost 0 is interested in task 2.\nHost 1 is interested in task 15.\nHost 13 is interested in task 4.\nHost 9 is interested in task 9.\nHost 8 is interested in task 4.\nHost 1 is interested in task 6.\nHost 13 is interested in task 3.\nHost 1 is interested in task 2.\nHost 9 is interested in task 1.\nHost 3 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 14.\nHost 2 is interested in task 0.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph446", "image": "data/matching/graph_visual/hard/graph446.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 8 is interested in task 4.\nHost 11 is interested in task 3.\nHost 4 is interested in task 0.\nHost 11 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 8.\nHost 11 is interested in task 7.\nHost 8 is interested in task 0.\nHost 9 is interested in task 0.\nHost 5 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 0.\nHost 11 is interested in task 4.\nHost 0 is interested in task 5.\nHost 0 is interested in task 7.\nHost 10 is interested in task 6.\nHost 10 is interested in task 1.\nHost 11 is interested in task 1.\nHost 0 is interested in task 8.\nHost 2 is interested in task 4.\nHost 10 is interested in task 8.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 8 is interested in task 5.\nHost 5 is interested in task 7.\nHost 8 is interested in task 2.\nHost 0 is interested in task 3.\nHost 4 is interested in task 5.\nHost 2 is interested in task 8.\nHost 0 is interested in task 6.\nHost 9 is interested in task 8.\nHost 5 is interested in task 0.\nHost 8 is interested in task 3.\nHost 3 is interested in task 5.\nHost 8 is interested in task 7.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1.\nHost 11 is interested in task 0.\nHost 11 is interested in task 5.\nHost 10 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 5.\nHost 4 is interested in task 4.\nHost 9 is interested in task 2.\nHost 10 is interested in task 5.\nHost 0 is interested in task 4.\nHost 6 is interested in task 1.\nHost 6 is interested in task 5.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph239", "image": "data/matching/graph_visual/hard/graph239.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 10 is interested in task 5.\nHost 2 is interested in task 7.\nHost 1 is interested in task 4.\nHost 8 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 6 is interested in task 0.\nHost 7 is interested in task 1.\nHost 8 is interested in task 7.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 3 is interested in task 6.\nHost 6 is interested in task 7.\nHost 5 is interested in task 4.\nHost 6 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 6.\nHost 7 is interested in task 5.\nHost 0 is interested in task 7.\nHost 8 is interested in task 2.\nHost 1 is interested in task 2.\nHost 5 is interested in task 7.\nHost 6 is interested in task 5.\nHost 4 is interested in task 0.\nHost 4 is interested in task 3.\nHost 5 is interested in task 5.\nHost 0 is interested in task 4.\nHost 9 is interested in task 3.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 9 is interested in task 0.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 8 is interested in task 3.\nHost 8 is interested in task 5.\nHost 10 is interested in task 0.\nHost 4 is interested in task 6.\nHost 9 is interested in task 7.\nHost 6 is interested in task 1.\nHost 5 is interested in task 6.\nHost 10 is interested in task 3.\nHost 9 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1174", "image": "data/matching/graph_visual/hard/graph1174.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 8 is interested in task 3.\nHost 10 is interested in task 11.\nHost 11 is interested in task 11.\nHost 2 is interested in task 5.\nHost 1 is interested in task 9.\nHost 14 is interested in task 12.\nHost 14 is interested in task 6.\nHost 5 is interested in task 11.\nHost 9 is interested in task 13.\nHost 0 is interested in task 0.\nHost 1 is interested in task 2.\nHost 1 is interested in task 13.\nHost 3 is interested in task 4.\nHost 13 is interested in task 14.\nHost 0 is interested in task 11.\nHost 11 is interested in task 2.\nHost 0 is interested in task 5.\nHost 7 is interested in task 12.\nHost 0 is interested in task 2.\nHost 0 is interested in task 6.\nHost 3 is interested in task 11.\nHost 11 is interested in task 15.\nHost 0 is interested in task 15.\nHost 14 is interested in task 2.\nHost 5 is interested in task 9.\nHost 11 is interested in task 3.\nHost 3 is interested in task 5.\nHost 6 is interested in task 15.\nHost 3 is interested in task 7.\nHost 8 is interested in task 10.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 8.\nHost 1 is interested in task 0.\nHost 7 is interested in task 9.\nHost 2 is interested in task 12.\nHost 1 is interested in task 5.\nHost 4 is interested in task 9.\nHost 8 is interested in task 8.\nHost 7 is interested in task 14.\nHost 10 is interested in task 6.\nHost 4 is interested in task 1.\nHost 3 is interested in task 14.\nHost 6 is interested in task 4.\nHost 1 is interested in task 11.\nHost 0 is interested in task 3.\nHost 13 is interested in task 10.\nHost 5 is interested in task 4.\nHost 2 is interested in task 4.\nHost 9 is interested in task 0.\nHost 3 is interested in task 8.\nHost 12 is interested in task 5.\nHost 13 is interested in task 8.\nHost 13 is interested in task 11.\nHost 8 is interested in task 13.\nHost 14 is interested in task 15.\nHost 4 is interested in task 6.\nHost 5 is interested in task 13.\nHost 13 is interested in task 3.\nHost 11 is interested in task 7.\nHost 11 is interested in task 4.\nHost 11 is interested in task 0.\nHost 13 is interested in task 13.\nHost 2 is interested in task 1.\nHost 10 is interested in task 4.\nHost 8 is interested in task 15.\nHost 2 is interested in task 7.\nHost 6 is interested in task 13.\nHost 10 is interested in task 12.\nHost 0 is interested in task 8.\nHost 9 is interested in task 9.\nHost 1 is interested in task 10.\nHost 2 is interested in task 13.\nHost 10 is interested in task 7.\nHost 4 is interested in task 8.\nHost 1 is interested in task 1.\nHost 4 is interested in task 12.\nHost 3 is interested in task 2.\nHost 14 is interested in task 1.\nHost 0 is interested in task 12.\nHost 10 is interested in task 10.\nHost 5 is interested in task 10.\nHost 2 is interested in task 0.\nHost 11 is interested in task 1.\nHost 3 is interested in task 15.\nHost 9 is interested in task 6.\nHost 2 is interested in task 10.\nHost 4 is interested in task 0.\nHost 9 is interested in task 12.\nHost 13 is interested in task 1.\nHost 8 is interested in task 9.\nHost 8 is interested in task 11.\nHost 13 is interested in task 4.\nHost 2 is interested in task 11.\nHost 4 is interested in task 5.\nHost 9 is interested in task 3.\nHost 11 is interested in task 6.\nHost 8 is interested in task 14.\nHost 1 is interested in task 6.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 6 is interested in task 12.\nHost 13 is interested in task 15.\nHost 13 is interested in task 2.\nHost 10 is interested in task 1.\nHost 9 is interested in task 11.\nHost 10 is interested in task 9.\nHost 7 is interested in task 13.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1061", "image": "data/matching/graph_visual/hard/graph1061.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 11.\nHost 13 is interested in task 3.\nHost 1 is interested in task 9.\nHost 3 is interested in task 2.\nHost 8 is interested in task 3.\nHost 11 is interested in task 8.\nHost 1 is interested in task 3.\nHost 6 is interested in task 11.\nHost 4 is interested in task 2.\nHost 0 is interested in task 9.\nHost 14 is interested in task 7.\nHost 1 is interested in task 11.\nHost 7 is interested in task 6.\nHost 14 is interested in task 11.\nHost 5 is interested in task 6.\nHost 11 is interested in task 2.\nHost 0 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 8.\nHost 13 is interested in task 0.\nHost 1 is interested in task 4.\nHost 0 is interested in task 11.\nHost 7 is interested in task 8.\nHost 8 is interested in task 4.\nHost 2 is interested in task 7.\nHost 8 is interested in task 6.\nHost 4 is interested in task 4.\nHost 1 is interested in task 10.\nHost 0 is interested in task 10.\nHost 4 is interested in task 7.\nHost 7 is interested in task 9.\nHost 8 is interested in task 9.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 0.\nHost 0 is interested in task 0.\nHost 3 is interested in task 6.\nHost 4 is interested in task 6.\nHost 11 is interested in task 3.\nHost 10 is interested in task 1.\nHost 14 is interested in task 10.\nHost 9 is interested in task 10.\nHost 5 is interested in task 7.\nHost 11 is interested in task 10.\nHost 10 is interested in task 8.\nHost 10 is interested in task 0.\nHost 11 is interested in task 7.\nHost 2 is interested in task 2.\nHost 1 is interested in task 5.\nHost 8 is interested in task 7.\nHost 10 is interested in task 3.\nHost 9 is interested in task 8.\nHost 5 is interested in task 1.\nHost 14 is interested in task 4.\nHost 12 is interested in task 1.\nHost 6 is interested in task 0.\nHost 3 is interested in task 0.\nHost 12 is interested in task 11.\nHost 11 is interested in task 4.\nHost 9 is interested in task 11.\nHost 5 is interested in task 10.\nHost 10 is interested in task 6.\nHost 2 is interested in task 9.\nHost 14 is interested in task 8.\nHost 5 is interested in task 8.\nHost 5 is interested in task 3.\nHost 10 is interested in task 11.\nHost 1 is interested in task 8.\nHost 3 is interested in task 11.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4.\nHost 3 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph436", "image": "data/matching/graph_visual/hard/graph436.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 8.\nHost 1 is interested in task 0.\nHost 11 is interested in task 7.\nHost 5 is interested in task 2.\nHost 7 is interested in task 7.\nHost 7 is interested in task 2.\nHost 11 is interested in task 6.\nHost 11 is interested in task 4.\nHost 0 is interested in task 2.\nHost 1 is interested in task 4.\nHost 1 is interested in task 3.\nHost 3 is interested in task 0.\nHost 7 is interested in task 0.\nHost 11 is interested in task 5.\nHost 2 is interested in task 4.\nHost 5 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 4.\nHost 8 is interested in task 7.\nHost 10 is interested in task 4.\nHost 7 is interested in task 3.\nHost 5 is interested in task 0.\nHost 8 is interested in task 5.\nHost 11 is interested in task 2.\nHost 2 is interested in task 7.\nHost 11 is interested in task 0.\nHost 8 is interested in task 2.\nHost 2 is interested in task 8.\nHost 0 is interested in task 1.\nHost 11 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 10 is interested in task 5.\nHost 0 is interested in task 7.\nHost 6 is interested in task 2.\nHost 6 is interested in task 5.\nHost 5 is interested in task 5.\nHost 9 is interested in task 8.\nHost 10 is interested in task 7.\nHost 3 is interested in task 2.\nHost 7 is interested in task 6.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph705", "image": "data/matching/graph_visual/hard/graph705.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 3 is interested in task 9.\nHost 3 is interested in task 8.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 0 is interested in task 0.\nHost 1 is interested in task 10.\nHost 4 is interested in task 4.\nHost 10 is interested in task 0.\nHost 6 is interested in task 11.\nHost 9 is interested in task 1.\nHost 8 is interested in task 1.\nHost 4 is interested in task 11.\nHost 4 is interested in task 10.\nHost 8 is interested in task 5.\nHost 10 is interested in task 4.\nHost 11 is interested in task 10.\nHost 6 is interested in task 9.\nHost 12 is interested in task 2.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 3 is interested in task 10.\nHost 5 is interested in task 7.\nHost 10 is interested in task 10.\nHost 5 is interested in task 9.\nHost 1 is interested in task 0.\nHost 6 is interested in task 7.\nHost 7 is interested in task 10.\nHost 1 is interested in task 6.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 6.\nHost 1 is interested in task 5.\nHost 11 is interested in task 9.\nHost 8 is interested in task 4.\nHost 2 is interested in task 5.\nHost 9 is interested in task 2.\nHost 10 is interested in task 9.\nHost 8 is interested in task 3.\nHost 7 is interested in task 0.\nHost 7 is interested in task 8.\nHost 5 is interested in task 4.\nHost 2 is interested in task 2.\nHost 6 is interested in task 0.\nHost 2 is interested in task 11.\nHost 7 is interested in task 7.\nHost 7 is interested in task 11.\nHost 0 is interested in task 2.\nHost 0 is interested in task 11.\nHost 1 is interested in task 7.\nHost 2 is interested in task 9.\nHost 6 is interested in task 10.\nHost 3 is interested in task 6.\nHost 7 is interested in task 2.\nHost 10 is interested in task 5.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1102", "image": "data/matching/graph_visual/hard/graph1102.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 7 is interested in task 9.\nHost 7 is interested in task 5.\nHost 3 is interested in task 3.\nHost 14 is interested in task 9.\nHost 1 is interested in task 10.\nHost 0 is interested in task 1.\nHost 6 is interested in task 5.\nHost 1 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 7.\nHost 7 is interested in task 10.\nHost 12 is interested in task 8.\nHost 8 is interested in task 12.\nHost 7 is interested in task 1.\nHost 2 is interested in task 2.\nHost 11 is interested in task 3.\nHost 13 is interested in task 5.\nHost 9 is interested in task 9.\nHost 14 is interested in task 7.\nHost 10 is interested in task 5.\nHost 6 is interested in task 12.\nHost 12 is interested in task 7.\nHost 14 is interested in task 4.\nHost 6 is interested in task 11.\nHost 8 is interested in task 4.\nHost 3 is interested in task 9.\nHost 0 is interested in task 5.\nHost 9 is interested in task 5.\nHost 8 is interested in task 1.\nHost 9 is interested in task 6.\nHost 11 is interested in task 9.\nHost 0 is interested in task 10.\nHost 11 is interested in task 12.\nHost 11 is interested in task 1.\nHost 10 is interested in task 10.\nHost 12 is interested in task 6.\nHost 11 is interested in task 11.\nHost 7 is interested in task 2.\nHost 14 is interested in task 12.\nHost 7 is interested in task 3.\nHost 14 is interested in task 2.\nHost 12 is interested in task 2.\nHost 9 is interested in task 11.\nHost 3 is interested in task 7.\nHost 12 is interested in task 11.\nHost 11 is interested in task 10.\nHost 10 is interested in task 7.\nHost 7 is interested in task 6.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 8.\nHost 2 is interested in task 10.\nHost 8 is interested in task 3.\nHost 13 is interested in task 4.\nHost 14 is interested in task 10.\nHost 0 is interested in task 4.\nHost 12 is interested in task 12.\nHost 6 is interested in task 9.\nHost 0 is interested in task 12.\nHost 6 is interested in task 0.\nHost 14 is interested in task 5.\nHost 2 is interested in task 5.\nHost 8 is interested in task 8.\nHost 10 is interested in task 4.\nHost 10 is interested in task 3.\nHost 5 is interested in task 5.\nHost 12 is interested in task 10.\nHost 3 is interested in task 8.\nHost 7 is interested in task 12.\nHost 8 is interested in task 6.\nHost 6 is interested in task 1.\nHost 4 is interested in task 7.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph250", "image": "data/matching/graph_visual/hard/graph250.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 4 is interested in task 7.\nHost 6 is interested in task 0.\nHost 5 is interested in task 4.\nHost 9 is interested in task 8.\nHost 1 is interested in task 6.\nHost 4 is interested in task 0.\nHost 0 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 6.\nHost 3 is interested in task 0.\nHost 2 is interested in task 5.\nHost 9 is interested in task 5.\nHost 3 is interested in task 6.\nHost 4 is interested in task 5.\nHost 3 is interested in task 7.\nHost 7 is interested in task 7.\nHost 9 is interested in task 3.\nHost 5 is interested in task 8.\nHost 10 is interested in task 1.\nHost 8 is interested in task 7.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 5 is interested in task 1.\nHost 10 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 10 is interested in task 0.\nHost 10 is interested in task 7.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 0 is interested in task 6.\nHost 0 is interested in task 4.\nHost 5 is interested in task 7.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 7 is interested in task 3.\nHost 10 is interested in task 8.\nHost 7 is interested in task 2.\nHost 6 is interested in task 7.\nHost 6 is interested in task 1.\nHost 2 is interested in task 4.\nHost 9 is interested in task 1.\nHost 8 is interested in task 1.\nHost 3 is interested in task 8.\nHost 4 is interested in task 4.\nHost 0 is interested in task 2.\nHost 6 is interested in task 3.\nHost 9 is interested in task 2.\nHost 8 is interested in task 5.\nHost 4 is interested in task 8.\nHost 9 is interested in task 0.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph989", "image": "data/matching/graph_visual/hard/graph989.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 3.\nHost 6 is interested in task 9.\nHost 2 is interested in task 2.\nHost 11 is interested in task 5.\nHost 9 is interested in task 14.\nHost 9 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 1.\nHost 8 is interested in task 12.\nHost 5 is interested in task 10.\nHost 3 is interested in task 10.\nHost 7 is interested in task 10.\nHost 3 is interested in task 13.\nHost 3 is interested in task 0.\nHost 8 is interested in task 9.\nHost 4 is interested in task 14.\nHost 6 is interested in task 12.\nHost 1 is interested in task 10.\nHost 7 is interested in task 1.\nHost 5 is interested in task 3.\nHost 8 is interested in task 14.\nHost 12 is interested in task 9.\nHost 11 is interested in task 12.\nHost 0 is interested in task 10.\nHost 3 is interested in task 8.\nHost 3 is interested in task 1.\nHost 8 is interested in task 8.\nHost 11 is interested in task 2.\nHost 3 is interested in task 6.\nHost 0 is interested in task 1.\nHost 2 is interested in task 3.\nHost 9 is interested in task 0.\nHost 9 is interested in task 10.\nHost 12 is interested in task 0.\nHost 8 is interested in task 3.\nHost 12 is interested in task 5.\nHost 4 is interested in task 5.\nHost 9 is interested in task 5.\nHost 10 is interested in task 8.\nHost 6 is interested in task 5.\nHost 5 is interested in task 13.\nHost 11 is interested in task 4.\nHost 9 is interested in task 4.\nHost 1 is interested in task 1.\nHost 10 is interested in task 0.\nHost 3 is interested in task 11.\nHost 10 is interested in task 3.\nHost 5 is interested in task 2.\nHost 12 is interested in task 6.\nHost 7 is interested in task 3.\nHost 7 is interested in task 8.\nHost 4 is interested in task 12.\nHost 2 is interested in task 12.\nHost 6 is interested in task 10.\nHost 12 is interested in task 2.\nHost 5 is interested in task 12.\nHost 7 is interested in task 12.\nHost 5 is interested in task 6.\nHost 10 is interested in task 10.\nHost 8 is interested in task 4.\nHost 6 is interested in task 14.\nHost 6 is interested in task 6.\nHost 7 is interested in task 2.\nHost 3 is interested in task 9.\nHost 13 is interested in task 9.\nHost 5 is interested in task 8.\nHost 11 is interested in task 9.\nHost 12 is interested in task 8.\nHost 9 is interested in task 9.\nHost 4 is interested in task 2.\nHost 12 is interested in task 3.\nHost 6 is interested in task 11.\nHost 10 is interested in task 12.\nHost 8 is interested in task 7.\nHost 8 is interested in task 2.\nHost 3 is interested in task 4.\nHost 6 is interested in task 13.\nHost 10 is interested in task 7.\nHost 8 is interested in task 13.\nHost 1 is interested in task 3.\nHost 8 is interested in task 0.\nHost 11 is interested in task 0.\nHost 10 is interested in task 13.\nHost 9 is interested in task 6.\nHost 12 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph760", "image": "data/matching/graph_visual/hard/graph760.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 2.\nHost 2 is interested in task 11.\nHost 6 is interested in task 13.\nHost 11 is interested in task 8.\nHost 12 is interested in task 2.\nHost 4 is interested in task 2.\nHost 12 is interested in task 13.\nHost 0 is interested in task 13.\nHost 6 is interested in task 4.\nHost 4 is interested in task 0.\nHost 3 is interested in task 10.\nHost 5 is interested in task 13.\nHost 12 is interested in task 6.\nHost 10 is interested in task 1.\nHost 12 is interested in task 10.\nHost 11 is interested in task 1.\nHost 7 is interested in task 2.\nHost 0 is interested in task 8.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 9 is interested in task 8.\nHost 3 is interested in task 11.\nHost 5 is interested in task 10.\nHost 12 is interested in task 0.\nHost 10 is interested in task 6.\nHost 11 is interested in task 6.\nHost 11 is interested in task 2.\nHost 10 is interested in task 0.\nHost 0 is interested in task 11.\nHost 10 is interested in task 13.\nHost 1 is interested in task 13.\nHost 8 is interested in task 9.\nHost 11 is interested in task 12.\nHost 3 is interested in task 2.\nHost 3 is interested in task 9.\nHost 12 is interested in task 9.\nHost 10 is interested in task 7.\nHost 1 is interested in task 0.\nHost 7 is interested in task 13.\nHost 11 is interested in task 0.\nHost 9 is interested in task 9.\nHost 0 is interested in task 0.\nHost 7 is interested in task 11.\nHost 8 is interested in task 4.\nHost 7 is interested in task 9.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 9 is interested in task 3.\nHost 0 is interested in task 9.\nHost 11 is interested in task 13.\nHost 1 is interested in task 2.\nHost 12 is interested in task 11.\nHost 1 is interested in task 1.\nHost 3 is interested in task 6.\nHost 12 is interested in task 3.\nHost 6 is interested in task 12.\nHost 0 is interested in task 12.\nHost 11 is interested in task 7.\nHost 8 is interested in task 7.\nHost 5 is interested in task 7.\nHost 11 is interested in task 3.\nHost 2 is interested in task 7.\nHost 0 is interested in task 6.\nHost 11 is interested in task 11.\nHost 0 is interested in task 2.\nHost 2 is interested in task 5.\nHost 9 is interested in task 13.\nHost 5 is interested in task 9.\nHost 11 is interested in task 10.\nHost 2 is interested in task 13.\nHost 9 is interested in task 10.\nHost 10 is interested in task 4.\nHost 8 is interested in task 13.\nHost 11 is interested in task 9.\nHost 10 is interested in task 10.\nHost 4 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1055", "image": "data/matching/graph_visual/hard/graph1055.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 3 is interested in task 8.\nHost 9 is interested in task 0.\nHost 12 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 9.\nHost 12 is interested in task 4.\nHost 13 is interested in task 7.\nHost 0 is interested in task 0.\nHost 8 is interested in task 6.\nHost 7 is interested in task 11.\nHost 3 is interested in task 9.\nHost 10 is interested in task 3.\nHost 5 is interested in task 7.\nHost 13 is interested in task 11.\nHost 10 is interested in task 4.\nHost 3 is interested in task 0.\nHost 4 is interested in task 0.\nHost 14 is interested in task 10.\nHost 13 is interested in task 0.\nHost 4 is interested in task 7.\nHost 10 is interested in task 9.\nHost 0 is interested in task 9.\nHost 5 is interested in task 1.\nHost 6 is interested in task 5.\nHost 5 is interested in task 9.\nHost 14 is interested in task 2.\nHost 12 is interested in task 9.\nHost 8 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 14 is interested in task 0.\nHost 4 is interested in task 11.\nHost 11 is interested in task 0.\nHost 3 is interested in task 10.\nHost 9 is interested in task 2.\nHost 8 is interested in task 5.\nHost 0 is interested in task 3.\nHost 3 is interested in task 11.\nHost 14 is interested in task 11.\nHost 14 is interested in task 5.\nHost 11 is interested in task 4.\nHost 7 is interested in task 5.\nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 4 is interested in task 9.\nHost 13 is interested in task 3.\nHost 8 is interested in task 10.\nHost 3 is interested in task 5.\nHost 8 is interested in task 0.\nHost 8 is interested in task 4.\nHost 2 is interested in task 2.\nHost 7 is interested in task 7.\nHost 13 is interested in task 1.\nHost 5 is interested in task 5.\nHost 7 is interested in task 10.\nHost 11 is interested in task 1.\nHost 12 is interested in task 6.\nHost 7 is interested in task 1.\nHost 2 is interested in task 4.\nHost 7 is interested in task 0.\nHost 6 is interested in task 7.\nHost 10 is interested in task 10.\nHost 3 is interested in task 3.\nHost 14 is interested in task 9.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 8 is interested in task 7.\nHost 13 is interested in task 4.\nHost 14 is interested in task 7.\nHost 6 is interested in task 1.\nHost 9 is interested in task 3.\nHost 9 is interested in task 11.\nHost 13 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph543", "image": "data/matching/graph_visual/hard/graph543.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 3.\nHost 8 is interested in task 8.\nHost 0 is interested in task 4.\nHost 7 is interested in task 1.\nHost 1 is interested in task 8.\nHost 7 is interested in task 3.\nHost 7 is interested in task 11.\nHost 10 is interested in task 8.\nHost 11 is interested in task 4.\nHost 8 is interested in task 10.\nHost 4 is interested in task 11.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 9 is interested in task 4.\nHost 5 is interested in task 12.\nHost 1 is interested in task 7.\nHost 11 is interested in task 10.\nHost 8 is interested in task 6.\nHost 5 is interested in task 6.\nHost 11 is interested in task 5.\nHost 7 is interested in task 10.\nHost 4 is interested in task 5.\nHost 0 is interested in task 0.\nHost 1 is interested in task 9.\nHost 1 is interested in task 4.\nHost 3 is interested in task 0.\nHost 4 is interested in task 6.\nHost 3 is interested in task 10.\nHost 7 is interested in task 12.\nHost 4 is interested in task 10.\nHost 8 is interested in task 12.\nHost 2 is interested in task 6.\nHost 4 is interested in task 12.\nHost 5 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 5.\nHost 11 is interested in task 8.\nHost 0 is interested in task 5.\nHost 2 is interested in task 11.\nHost 8 is interested in task 1.\nHost 10 is interested in task 5.\nHost 6 is interested in task 5.\nHost 7 is interested in task 7.\nHost 8 is interested in task 2.\nHost 0 is interested in task 10.\nHost 10 is interested in task 3.\nHost 8 is interested in task 7.\nHost 10 is interested in task 7.\nHost 8 is interested in task 9.\nHost 9 is interested in task 3.\nHost 11 is interested in task 0.\nHost 1 is interested in task 10.\nHost 7 is interested in task 9.\nHost 2 is interested in task 1.\nHost 3 is interested in task 7.\nHost 3 is interested in task 11.\nHost 4 is interested in task 7.\nHost 1 is interested in task 12.\nHost 8 is interested in task 4.\nHost 10 is interested in task 9.\nHost 3 is interested in task 9.\nHost 11 is interested in task 6.\nHost 3 is interested in task 12.\nHost 0 is interested in task 12.\nHost 0 is interested in task 1.\nHost 8 is interested in task 0.\nHost 0 is interested in task 9.\nHost 3 is interested in task 1.\nHost 1 is interested in task 0.\nHost 3 is interested in task 5.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph412", "image": "data/matching/graph_visual/hard/graph412.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 4 is interested in task 0.\nHost 1 is interested in task 13.\nHost 2 is interested in task 12.\nHost 2 is interested in task 1.\nHost 1 is interested in task 12.\nHost 7 is interested in task 5.\nHost 7 is interested in task 10.\nHost 2 is interested in task 0.\nHost 1 is interested in task 5.\nHost 1 is interested in task 2.\nHost 7 is interested in task 0.\nHost 6 is interested in task 9.\nHost 8 is interested in task 10.\nHost 3 is interested in task 10.\nHost 1 is interested in task 3.\nHost 1 is interested in task 9.\nHost 10 is interested in task 11.\nHost 8 is interested in task 6.\nHost 4 is interested in task 3.\nHost 0 is interested in task 10.\nHost 5 is interested in task 4.\nHost 6 is interested in task 2.\nHost 10 is interested in task 1.\nHost 8 is interested in task 3.\nHost 8 is interested in task 4.\nHost 6 is interested in task 11.\nHost 2 is interested in task 7.\nHost 7 is interested in task 1.\nHost 9 is interested in task 0.\nHost 2 is interested in task 4.\nHost 9 is interested in task 7.\nHost 10 is interested in task 2.\nHost 2 is interested in task 3.\nHost 0 is interested in task 2.\nHost 4 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 7.\nHost 2 is interested in task 8.\nHost 2 is interested in task 6.\nHost 2 is interested in task 2.\nHost 8 is interested in task 12.\nHost 6 is interested in task 13.\nHost 8 is interested in task 1.\nHost 10 is interested in task 8.\nHost 0 is interested in task 7.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 7 is interested in task 12.\nHost 2 is interested in task 11.\nHost 3 is interested in task 1.\nHost 9 is interested in task 9.\nHost 3 is interested in task 9.\nHost 8 is interested in task 0.\nHost 0 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph237", "image": "data/matching/graph_visual/hard/graph237.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 7.\nHost 3 is interested in task 4.\nHost 2 is interested in task 5.\nHost 9 is interested in task 6.\nHost 4 is interested in task 1.\nHost 8 is interested in task 5.\nHost 8 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 1.\nHost 4 is interested in task 6.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 3 is interested in task 1.\nHost 0 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 2.\nHost 10 is interested in task 1.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 0 is interested in task 4.\nHost 10 is interested in task 6.\nHost 9 is interested in task 2.\nHost 9 is interested in task 7.\nHost 2 is interested in task 2.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 5.\nHost 9 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 3.\nHost 6 is interested in task 1.\nHost 9 is interested in task 4.\nHost 4 is interested in task 7.\nHost 10 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 2.\nHost 1 is interested in task 2.\nHost 8 is interested in task 3.\nHost 5 is interested in task 4.\nHost 2 is interested in task 6.\nHost 10 is interested in task 4.\nHost 0 is interested in task 6.\nHost 6 is interested in task 7.\nHost 8 is interested in task 2.\nHost 2 is interested in task 7.\nHost 0 is interested in task 0.\nHost 10 is interested in task 3.\nHost 3 is interested in task 2.\nHost 5 is interested in task 0.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1149", "image": "data/matching/graph_visual/hard/graph1149.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 6.\nHost 10 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 11.\nHost 9 is interested in task 13.\nHost 1 is interested in task 4.\nHost 0 is interested in task 12.\nHost 11 is interested in task 4.\nHost 3 is interested in task 8.\nHost 5 is interested in task 13.\nHost 13 is interested in task 8.\nHost 7 is interested in task 12.\nHost 6 is interested in task 11.\nHost 5 is interested in task 2.\nHost 10 is interested in task 13.\nHost 14 is interested in task 7.\nHost 5 is interested in task 12.\nHost 14 is interested in task 11.\nHost 0 is interested in task 9.\nHost 12 is interested in task 0.\nHost 4 is interested in task 6.\nHost 9 is interested in task 14.\nHost 6 is interested in task 4.\nHost 12 is interested in task 14.\nHost 9 is interested in task 3.\nHost 12 is interested in task 9.\nHost 7 is interested in task 10.\nHost 8 is interested in task 0.\nHost 12 is interested in task 8.\nHost 7 is interested in task 9.\nHost 6 is interested in task 12.\nHost 1 is interested in task 10.\nHost 6 is interested in task 8.\nHost 0 is interested in task 1.\nHost 5 is interested in task 11.\nHost 0 is interested in task 11.\nHost 1 is interested in task 7.\nHost 14 is interested in task 3.\nHost 9 is interested in task 8.\nHost 12 is interested in task 11.\nHost 12 is interested in task 7.\nHost 6 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 0.\nHost 10 is interested in task 11.\nHost 2 is interested in task 14.\nHost 8 is interested in task 13.\nHost 9 is interested in task 10.\nHost 6 is interested in task 2.\nHost 9 is interested in task 9.\nHost 11 is interested in task 8.\nHost 9 is interested in task 2.\nHost 2 is interested in task 10.\nHost 12 is interested in task 4.\nHost 5 is interested in task 6.\nHost 0 is interested in task 8.\nHost 2 is interested in task 8.\nHost 6 is interested in task 5.\nHost 4 is interested in task 1.\nHost 12 is interested in task 12.\nHost 5 is interested in task 1.\nHost 6 is interested in task 3.\nHost 13 is interested in task 10.\nHost 5 is interested in task 8.\nHost 13 is interested in task 6.\nHost 7 is interested in task 4.\nHost 11 is interested in task 9.\nHost 9 is interested in task 0.\nHost 1 is interested in task 13.\nHost 5 is interested in task 7.\nHost 14 is interested in task 4.\nHost 13 is interested in task 0.\nHost 5 is interested in task 4.\nHost 6 is interested in task 13.\nHost 5 is interested in task 10.\nHost 11 is interested in task 0.\nHost 12 is interested in task 5.\nHost 1 is interested in task 14.\nHost 14 is interested in task 13.\nHost 1 is interested in task 8.\nHost 12 is interested in task 10.\nHost 11 is interested in task 6.\nHost 13 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph291", "image": "data/matching/graph_visual/hard/graph291.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 2 is interested in task 5.\nHost 2 is interested in task 8.\nHost 5 is interested in task 5.\nHost 7 is interested in task 3.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6.\nHost 10 is interested in task 1.\nHost 9 is interested in task 9.\nHost 4 is interested in task 4.\nHost 6 is interested in task 9.\nHost 6 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 3.\nHost 8 is interested in task 4.\nHost 0 is interested in task 5.\nHost 4 is interested in task 5.\nHost 10 is interested in task 6.\nHost 9 is interested in task 6.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 7 is interested in task 4.\nHost 1 is interested in task 5.\nHost 6 is interested in task 5.\nHost 9 is interested in task 1.\nHost 2 is interested in task 9.\nHost 8 is interested in task 2.\nHost 7 is interested in task 0.\nHost 1 is interested in task 9.\nHost 0 is interested in task 9.\nHost 8 is interested in task 3.\nHost 5 is interested in task 0.\nHost 6 is interested in task 0.\nHost 2 is interested in task 1.\nHost 9 is interested in task 3.\nHost 8 is interested in task 6.\nHost 1 is interested in task 8.\nHost 7 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph829", "image": "data/matching/graph_visual/hard/graph829.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 0.\nHost 2 is interested in task 9.\nHost 7 is interested in task 8.\nHost 6 is interested in task 7.\nHost 6 is interested in task 5.\nHost 0 is interested in task 9.\nHost 2 is interested in task 0.\nHost 1 is interested in task 11.\nHost 4 is interested in task 7.\nHost 2 is interested in task 5.\nHost 10 is interested in task 4.\nHost 5 is interested in task 1.\nHost 9 is interested in task 15.\nHost 0 is interested in task 0.\nHost 1 is interested in task 5.\nHost 0 is interested in task 14.\nHost 2 is interested in task 14.\nHost 5 is interested in task 12.\nHost 1 is interested in task 1.\nHost 9 is interested in task 1.\nHost 10 is interested in task 0.\nHost 1 is interested in task 13.\nHost 1 is interested in task 3.\nHost 10 is interested in task 3.\nHost 9 is interested in task 11.\nHost 10 is interested in task 2.\nHost 10 is interested in task 13.\nHost 12 is interested in task 4.\nHost 3 is interested in task 3.\nHost 12 is interested in task 6.\nHost 1 is interested in task 6.\nHost 10 is interested in task 8.\nHost 7 is interested in task 6.\nHost 12 is interested in task 15.\nHost 4 is interested in task 8.\nHost 6 is interested in task 15.\nHost 10 is interested in task 6.\nHost 4 is interested in task 14.\nHost 12 is interested in task 8.\nHost 7 is interested in task 1.\nHost 10 is interested in task 14.\nHost 4 is interested in task 3.\nHost 5 is interested in task 7.\nHost 12 is interested in task 10.\nHost 0 is interested in task 1.\nHost 7 is interested in task 5.\nHost 9 is interested in task 10.\nHost 11 is interested in task 10.\nHost 1 is interested in task 7.\nHost 8 is interested in task 9.\nHost 11 is interested in task 11.\nHost 3 is interested in task 12.\nHost 5 is interested in task 8.\nHost 11 is interested in task 8.\nHost 3 is interested in task 6.\nHost 6 is interested in task 11.\nHost 10 is interested in task 12.\nHost 1 is interested in task 4.\nHost 2 is interested in task 1.\nHost 3 is interested in task 13.\nHost 10 is interested in task 10.\nHost 6 is interested in task 10.\nHost 3 is interested in task 11.\nHost 11 is interested in task 4.\nHost 8 is interested in task 7.\nHost 7 is interested in task 2.\nHost 2 is interested in task 13.\nHost 2 is interested in task 2.\nHost 3 is interested in task 1.\nHost 1 is interested in task 8.\nHost 1 is interested in task 9.\nHost 4 is interested in task 6.\nHost 2 is interested in task 3.\nHost 6 is interested in task 9.\nHost 8 is interested in task 14.\nHost 3 is interested in task 5.\nHost 9 is interested in task 3.\nHost 4 is interested in task 11.\nHost 2 is interested in task 11.\nHost 11 is interested in task 2.\nHost 0 is interested in task 3.\nHost 10 is interested in task 11.\nHost 0 is interested in task 4.\nHost 0 is interested in task 15.\nHost 1 is interested in task 10.\nHost 2 is interested in task 12.\nHost 12 is interested in task 5.\nHost 9 is interested in task 13.\nHost 9 is interested in task 7.\nHost 12 is interested in task 14.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph779", "image": "data/matching/graph_visual/hard/graph779.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 8 is interested in task 9.\nHost 4 is interested in task 1.\nHost 10 is interested in task 8.\nHost 8 is interested in task 13.\nHost 12 is interested in task 2.\nHost 4 is interested in task 6.\nHost 5 is interested in task 8.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 11 is interested in task 12.\nHost 7 is interested in task 7.\nHost 9 is interested in task 4.\nHost 6 is interested in task 2.\nHost 11 is interested in task 4.\nHost 8 is interested in task 10.\nHost 1 is interested in task 11.\nHost 9 is interested in task 10.\nHost 11 is interested in task 1.\nHost 11 is interested in task 13.\nHost 7 is interested in task 0.\nHost 0 is interested in task 0.\nHost 2 is interested in task 2.\nHost 11 is interested in task 7.\nHost 2 is interested in task 11.\nHost 1 is interested in task 0.\nHost 6 is interested in task 12.\nHost 7 is interested in task 11.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 11 is interested in task 11.\nHost 6 is interested in task 0.\nHost 12 is interested in task 0.\nHost 12 is interested in task 8.\nHost 9 is interested in task 1.\nHost 3 is interested in task 5.\nHost 2 is interested in task 4.\nHost 7 is interested in task 4.\nHost 5 is interested in task 12.\nHost 7 is interested in task 6.\nHost 0 is interested in task 13.\nHost 7 is interested in task 1.\nHost 9 is interested in task 7.\nHost 9 is interested in task 12.\nHost 5 is interested in task 9.\nHost 3 is interested in task 6.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 5 is interested in task 11.\nHost 12 is interested in task 3.\nHost 0 is interested in task 10.\nHost 1 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 7.\nHost 11 is interested in task 10.\nHost 3 is interested in task 3.\nHost 9 is interested in task 2.\nHost 12 is interested in task 9.\nHost 9 is interested in task 6.\nHost 11 is interested in task 8.\nHost 9 is interested in task 9.\nHost 8 is interested in task 1.\nHost 0 is interested in task 3.\nHost 9 is interested in task 3.\nHost 9 is interested in task 13.\nHost 8 is interested in task 12.\nHost 0 is interested in task 11.\nHost 11 is interested in task 2.\nHost 2 is interested in task 5.\nHost 2 is interested in task 13.\nHost 0 is interested in task 8.\nHost 6 is interested in task 11.\nHost 12 is interested in task 11.\nHost 12 is interested in task 5.\nHost 12 is interested in task 10.\nHost 11 is interested in task 3.\nHost 7 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1078", "image": "data/matching/graph_visual/hard/graph1078.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 11 is interested in task 1.\nHost 9 is interested in task 6.\nHost 3 is interested in task 10.\nHost 1 is interested in task 1.\nHost 11 is interested in task 2.\nHost 1 is interested in task 4.\nHost 14 is interested in task 8.\nHost 3 is interested in task 8.\nHost 13 is interested in task 3.\nHost 14 is interested in task 5.\nHost 6 is interested in task 9.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 2 is interested in task 4.\nHost 4 is interested in task 4.\nHost 13 is interested in task 1.\nHost 6 is interested in task 7.\nHost 9 is interested in task 0.\nHost 3 is interested in task 7.\nHost 5 is interested in task 4.\nHost 14 is interested in task 7.\nHost 1 is interested in task 8.\nHost 11 is interested in task 7.\nHost 2 is interested in task 10.\nHost 0 is interested in task 3.\nHost 13 is interested in task 8.\nHost 13 is interested in task 10.\nHost 2 is interested in task 0.\nHost 4 is interested in task 11.\nHost 1 is interested in task 10.\nHost 12 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 6.\nHost 14 is interested in task 1.\nHost 0 is interested in task 6.\nHost 2 is interested in task 3.\nHost 9 is interested in task 8.\nHost 7 is interested in task 0.\nHost 4 is interested in task 1.\nHost 1 is interested in task 5.\nHost 13 is interested in task 11.\nHost 12 is interested in task 1.\nHost 2 is interested in task 7.\nHost 10 is interested in task 6.\nHost 0 is interested in task 8.\nHost 11 is interested in task 3.\nHost 13 is interested in task 2.\nHost 3 is interested in task 3.\nHost 1 is interested in task 3.\nHost 0 is interested in task 4.\nHost 7 is interested in task 3.\nHost 2 is interested in task 11.\nHost 11 is interested in task 11.\nHost 7 is interested in task 11.\nHost 12 is interested in task 0.\nHost 13 is interested in task 7.\nHost 10 is interested in task 11.\nHost 7 is interested in task 9.\nHost 14 is interested in task 2.\nHost 11 is interested in task 5.\nHost 14 is interested in task 9.\nHost 14 is interested in task 4.\nHost 11 is interested in task 6.\nHost 13 is interested in task 5.\nHost 4 is interested in task 2.\nHost 5 is interested in task 0.\nHost 3 is interested in task 6.\nHost 12 is interested in task 9.\nHost 5 is interested in task 5.\nHost 2 is interested in task 9.\nHost 5 is interested in task 10.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 11.\nHost 11 is interested in task 8.\nHost 8 is interested in task 10.\nHost 11 is interested in task 9.\nHost 12 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 11.\nHost 10 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 6.\nHost 2 is interested in task 8.\nHost 0 is interested in task 9.\nHost 6 is interested in task 6.\nHost 0 is interested in task 0.\nHost 10 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1216", "image": "data/matching/graph_visual/hard/graph1216.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 14.\nHost 7 is interested in task 14.\nHost 5 is interested in task 14.\nHost 10 is interested in task 11.\nHost 13 is interested in task 5.\nHost 0 is interested in task 8.\nHost 10 is interested in task 13.\nHost 3 is interested in task 16.\nHost 1 is interested in task 0.\nHost 5 is interested in task 10.\nHost 6 is interested in task 3.\nHost 13 is interested in task 15.\nHost 5 is interested in task 0.\nHost 11 is interested in task 14.\nHost 4 is interested in task 7.\nHost 4 is interested in task 8.\nHost 14 is interested in task 8.\nHost 7 is interested in task 13.\nHost 1 is interested in task 9.\nHost 11 is interested in task 5.\nHost 9 is interested in task 14.\nHost 1 is interested in task 8.\nHost 7 is interested in task 2.\nHost 9 is interested in task 0.\nHost 0 is interested in task 1.\nHost 4 is interested in task 11.\nHost 3 is interested in task 1.\nHost 11 is interested in task 10.\nHost 1 is interested in task 3.\nHost 11 is interested in task 0.\nHost 1 is interested in task 15.\nHost 14 is interested in task 13.\nHost 3 is interested in task 11.\nHost 11 is interested in task 6.\nHost 8 is interested in task 8.\nHost 13 is interested in task 9.\nHost 11 is interested in task 11.\nHost 11 is interested in task 13.\nHost 10 is interested in task 10.\nHost 2 is interested in task 5.\nHost 7 is interested in task 16.\nHost 3 is interested in task 7.\nHost 7 is interested in task 12.\nHost 8 is interested in task 4.\nHost 3 is interested in task 13.\nHost 0 is interested in task 10.\nHost 9 is interested in task 3.\nHost 7 is interested in task 9.\nHost 13 is interested in task 4.\nHost 12 is interested in task 10.\nHost 11 is interested in task 16.\nHost 8 is interested in task 13.\nHost 0 is interested in task 16.\nHost 1 is interested in task 14.\nHost 3 is interested in task 4.\nHost 10 is interested in task 0.\nHost 7 is interested in task 15.\nHost 4 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 16.\nHost 10 is interested in task 2.\nHost 6 is interested in task 8.\nHost 8 is interested in task 7.\nHost 12 is interested in task 12.\nHost 7 is interested in task 6.\nHost 3 is interested in task 6.\nHost 1 is interested in task 4.\nHost 9 is interested in task 16.\nHost 3 is interested in task 14.\nHost 12 is interested in task 9.\nHost 14 is interested in task 16.\nHost 9 is interested in task 11.\nHost 1 is interested in task 12.\nHost 11 is interested in task 4.\nHost 4 is interested in task 16.\nHost 10 is interested in task 5.\nHost 7 is interested in task 1.\nHost 8 is interested in task 9.\nHost 4 is interested in task 5.\nHost 1 is interested in task 7.\nHost 10 is interested in task 15.\nHost 9 is interested in task 12.\nHost 2 is interested in task 16.\nHost 5 is interested in task 6.\nHost 10 is interested in task 6.\nHost 3 is interested in task 10.\nHost 11 is interested in task 1.\nHost 14 is interested in task 12.\nHost 3 is interested in task 5.\nHost 5 is interested in task 3.\nHost 7 is interested in task 5.\nHost 1 is interested in task 11.\nHost 5 is interested in task 8.\nHost 4 is interested in task 3.\nHost 0 is interested in task 6.\nHost 12 is interested in task 7.\nHost 2 is interested in task 6.\nHost 14 is interested in task 2.\nHost 0 is interested in task 13.\nHost 12 is interested in task 14.\nHost 14 is interested in task 3.\nHost 14 is interested in task 10.\nHost 1 is interested in task 2.\nHost 9 is interested in task 13.\nHost 4 is interested in task 14.\nHost 6 is interested in task 6.\nHost 1 is interested in task 13.\nHost 7 is interested in task 4.\nHost 11 is interested in task 7.\nHost 3 is interested in task 3.\nHost 8 is interested in task 16.\nHost 2 is interested in task 4.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 9 is interested in task 1.\nHost 5 is interested in task 13.\nHost 1 is interested in task 5.\nHost 9 is interested in task 2.\nHost 14 is interested in task 1.\nHost 8 is interested in task 1.\nHost 13 is interested in task 10.\nHost 12 is interested in task 13.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1202", "image": "data/matching/graph_visual/hard/graph1202.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 9.\nHost 9 is interested in task 14.\nHost 2 is interested in task 3.\nHost 11 is interested in task 14.\nHost 12 is interested in task 11.\nHost 7 is interested in task 4.\nHost 12 is interested in task 13.\nHost 10 is interested in task 3.\nHost 5 is interested in task 3.\nHost 2 is interested in task 4.\nHost 4 is interested in task 5.\nHost 13 is interested in task 11.\nHost 6 is interested in task 13.\nHost 3 is interested in task 13.\nHost 12 is interested in task 15.\nHost 9 is interested in task 6.\nHost 11 is interested in task 1.\nHost 10 is interested in task 7.\nHost 2 is interested in task 0.\nHost 0 is interested in task 8.\nHost 2 is interested in task 12.\nHost 5 is interested in task 4.\nHost 2 is interested in task 5.\nHost 14 is interested in task 16.\nHost 2 is interested in task 13.\nHost 12 is interested in task 8.\nHost 0 is interested in task 13.\nHost 2 is interested in task 16.\nHost 13 is interested in task 8.\nHost 4 is interested in task 6.\nHost 5 is interested in task 8.\nHost 13 is interested in task 15.\nHost 8 is interested in task 16.\nHost 7 is interested in task 9.\nHost 10 is interested in task 12.\nHost 4 is interested in task 4.\nHost 6 is interested in task 16.\nHost 8 is interested in task 9.\nHost 14 is interested in task 9.\nHost 0 is interested in task 10.\nHost 14 is interested in task 14.\nHost 3 is interested in task 1.\nHost 1 is interested in task 13.\nHost 9 is interested in task 12.\nHost 0 is interested in task 1.\nHost 13 is interested in task 4.\nHost 5 is interested in task 7.\nHost 9 is interested in task 1.\nHost 9 is interested in task 9.\nHost 5 is interested in task 11.\nHost 9 is interested in task 5.\nHost 9 is interested in task 16.\nHost 10 is interested in task 10.\nHost 5 is interested in task 15.\nHost 6 is interested in task 4.\nHost 1 is interested in task 1.\nHost 8 is interested in task 1.\nHost 7 is interested in task 16.\nHost 11 is interested in task 10.\nHost 6 is interested in task 6.\nHost 14 is interested in task 7.\nHost 2 is interested in task 11.\nHost 1 is interested in task 5.\nHost 5 is interested in task 2.\nHost 7 is interested in task 8.\nHost 1 is interested in task 2.\nHost 10 is interested in task 11.\nHost 5 is interested in task 0.\nHost 8 is interested in task 6.\nHost 14 is interested in task 8.\nHost 2 is interested in task 2.\nHost 13 is interested in task 5.\nHost 11 is interested in task 6.\nHost 4 is interested in task 11.\nHost 7 is interested in task 7.\nHost 4 is interested in task 2.\nHost 5 is interested in task 10.\nHost 6 is interested in task 14.\nHost 10 is interested in task 15.\nHost 9 is interested in task 10.\nHost 9 is interested in task 2.\nHost 11 is interested in task 15.\nHost 3 is interested in task 5.\nHost 0 is interested in task 2.\nHost 1 is interested in task 12.\nHost 10 is interested in task 2.\nHost 7 is interested in task 11.\nHost 0 is interested in task 15.\nHost 4 is interested in task 8.\nHost 9 is interested in task 13.\nHost 5 is interested in task 14.\nHost 10 is interested in task 5.\nHost 8 is interested in task 8.\nHost 4 is interested in task 14.\nHost 7 is interested in task 3.\nHost 8 is interested in task 3.\nHost 14 is interested in task 13.\nHost 12 is interested in task 10.\nHost 11 is interested in task 12.\nHost 1 is interested in task 3.\nHost 11 is interested in task 3.\nHost 1 is interested in task 9.\nHost 14 is interested in task 6.\nHost 0 is interested in task 12.\nHost 3 is interested in task 15.\nHost 1 is interested in task 7.\nHost 11 is interested in task 11.\nHost 0 is interested in task 6.\nHost 11 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph917", "image": "data/matching/graph_visual/hard/graph917.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 12 is interested in task 8.\nHost 3 is interested in task 3.\nHost 12 is interested in task 6.\nHost 1 is interested in task 9.\nHost 9 is interested in task 7.\nHost 11 is interested in task 5.\nHost 4 is interested in task 4.\nHost 7 is interested in task 10.\nHost 8 is interested in task 2.\nHost 6 is interested in task 1.\nHost 10 is interested in task 12.\nHost 9 is interested in task 5.\nHost 3 is interested in task 1.\nHost 11 is interested in task 1.\nHost 10 is interested in task 0.\nHost 5 is interested in task 0.\nHost 1 is interested in task 4.\nHost 8 is interested in task 9.\nHost 11 is interested in task 9.\nHost 13 is interested in task 9.\nHost 1 is interested in task 2.\nHost 1 is interested in task 8.\nHost 2 is interested in task 12.\nHost 3 is interested in task 11.\nHost 5 is interested in task 5.\nHost 2 is interested in task 4.\nHost 12 is interested in task 4.\nHost 0 is interested in task 4.\nHost 4 is interested in task 11.\nHost 3 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 10.\nHost 12 is interested in task 5.\nHost 10 is interested in task 10.\nHost 13 is interested in task 2.\nHost 1 is interested in task 11.\nHost 11 is interested in task 6.\nHost 11 is interested in task 4.\nHost 6 is interested in task 8.\nHost 4 is interested in task 2.\nHost 11 is interested in task 11.\nHost 5 is interested in task 12.\nHost 6 is interested in task 2.\nHost 4 is interested in task 8.\nHost 2 is interested in task 6.\nHost 5 is interested in task 2.\nHost 8 is interested in task 7.\nHost 5 is interested in task 9.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 11 is interested in task 3.\nHost 0 is interested in task 8.\nHost 8 is interested in task 12.\nHost 3 is interested in task 10.\nHost 0 is interested in task 10.\nHost 2 is interested in task 3.\nHost 12 is interested in task 2.\nHost 8 is interested in task 10.\nHost 13 is interested in task 7.\nHost 8 is interested in task 0.\nHost 10 is interested in task 5.\nHost 0 is interested in task 12.\nHost 3 is interested in task 8.\nHost 6 is interested in task 12.\nHost 4 is interested in task 1.\nHost 9 is interested in task 8.\nHost 3 is interested in task 12.\nHost 8 is interested in task 6.\nHost 0 is interested in task 11.\nHost 1 is interested in task 12.\nHost 2 is interested in task 5.\nHost 4 is interested in task 6.\nHost 0 is interested in task 7.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1188", "image": "data/matching/graph_visual/hard/graph1188.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 6.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 8 is interested in task 8.\nHost 5 is interested in task 12.\nHost 14 is interested in task 8.\nHost 4 is interested in task 3.\nHost 6 is interested in task 8.\nHost 2 is interested in task 11.\nHost 1 is interested in task 8.\nHost 2 is interested in task 0.\nHost 0 is interested in task 2.\nHost 12 is interested in task 8.\nHost 8 is interested in task 12.\nHost 5 is interested in task 15.\nHost 13 is interested in task 5.\nHost 9 is interested in task 5.\nHost 14 is interested in task 5.\nHost 10 is interested in task 0.\nHost 12 is interested in task 7.\nHost 5 is interested in task 4.\nHost 13 is interested in task 15.\nHost 1 is interested in task 6.\nHost 14 is interested in task 4.\nHost 11 is interested in task 3.\nHost 14 is interested in task 13.\nHost 10 is interested in task 12.\nHost 8 is interested in task 11.\nHost 2 is interested in task 7.\nHost 14 is interested in task 12.\nHost 10 is interested in task 8.\nHost 0 is interested in task 9.\nHost 13 is interested in task 11.\nHost 14 is interested in task 1.\nHost 5 is interested in task 3.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 9 is interested in task 14.\nHost 7 is interested in task 1.\nHost 1 is interested in task 10.\nHost 3 is interested in task 12.\nHost 5 is interested in task 6.\nHost 5 is interested in task 2.\nHost 13 is interested in task 3.\nHost 9 is interested in task 10.\nHost 4 is interested in task 5.\nHost 14 is interested in task 14.\nHost 6 is interested in task 11.\nHost 13 is interested in task 9.\nHost 13 is interested in task 13.\nHost 5 is interested in task 10.\nHost 4 is interested in task 14.\nHost 9 is interested in task 4.\nHost 6 is interested in task 14.\nHost 12 is interested in task 5.\nHost 12 is interested in task 11.\nHost 0 is interested in task 15.\nHost 3 is interested in task 6.\nHost 8 is interested in task 14.\nHost 12 is interested in task 12.\nHost 2 is interested in task 5.\nHost 12 is interested in task 9.\nHost 4 is interested in task 12.\nHost 1 is interested in task 9.\nHost 10 is interested in task 9.\nHost 5 is interested in task 5.\nHost 8 is interested in task 3.\nHost 7 is interested in task 5.\nHost 13 is interested in task 7.\nHost 8 is interested in task 7.\nHost 6 is interested in task 12.\nHost 10 is interested in task 14.\nHost 8 is interested in task 1.\nHost 5 is interested in task 1.\nHost 2 is interested in task 10.\nHost 0 is interested in task 6.\nHost 6 is interested in task 9.\nHost 13 is interested in task 6.\nHost 4 is interested in task 4.\nHost 12 is interested in task 10.\nHost 1 is interested in task 11.\nHost 7 is interested in task 15.\nHost 11 is interested in task 1.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph428", "image": "data/matching/graph_visual/hard/graph428.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 11 is interested in task 7.\nHost 11 is interested in task 3.\nHost 9 is interested in task 3.\nHost 1 is interested in task 8.\nHost 6 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 0 is interested in task 8.\nHost 1 is interested in task 5.\nHost 7 is interested in task 3.\nHost 2 is interested in task 5.\nHost 3 is interested in task 6.\nHost 4 is interested in task 4.\nHost 2 is interested in task 6.\nHost 3 is interested in task 5.\nHost 0 is interested in task 7.\nHost 8 is interested in task 8.\nHost 10 is interested in task 1.\nHost 4 is interested in task 7.\nHost 4 is interested in task 3.\nHost 5 is interested in task 7.\nHost 10 is interested in task 6.\nHost 11 is interested in task 4.\nHost 5 is interested in task 1.\nHost 9 is interested in task 8.\nHost 5 is interested in task 4.\nHost 7 is interested in task 8.\nHost 8 is interested in task 0.\nHost 2 is interested in task 8.\nHost 5 is interested in task 5.\nHost 9 is interested in task 6.\nHost 3 is interested in task 8.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 4 is interested in task 8.\nHost 8 is interested in task 5.\nHost 3 is interested in task 2.\nHost 3 is interested in task 1.\nHost 6 is interested in task 7.\nHost 9 is interested in task 1.\nHost 0 is interested in task 1.\nHost 1 is interested in task 7.\nHost 7 is interested in task 5.\nHost 2 is interested in task 3.\nHost 10 is interested in task 2.\nHost 8 is interested in task 4.\nHost 2 is interested in task 2.\nHost 8 is interested in task 7.\nHost 1 is interested in task 6.\nHost 5 is interested in task 3.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph39", "image": "data/matching/graph_visual/hard/graph39.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 7 is interested in task 5.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 3 is interested in task 1.\nHost 1 is interested in task 1.\nHost 0 is interested in task 7.\nHost 0 is interested in task 2.\nHost 8 is interested in task 7.\nHost 7 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 4.\nHost 3 is interested in task 6.\nHost 4 is interested in task 7.\nHost 6 is interested in task 4.\nHost 2 is interested in task 2.\nHost 1 is interested in task 6.\nHost 9 is interested in task 7.\nHost 2 is interested in task 1.\nHost 9 is interested in task 1.\nHost 9 is interested in task 2.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 8 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 6.\nHost 1 is interested in task 4.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 9 is interested in task 3.\nHost 1 is interested in task 0.\nHost 0 is interested in task 4.\nHost 6 is interested in task 2.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 3 is interested in task 3.\nHost 6 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph403", "image": "data/matching/graph_visual/hard/graph403.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 13.\nHost 2 is interested in task 5.\nHost 5 is interested in task 2.\nHost 10 is interested in task 11.\nHost 1 is interested in task 8.\nHost 1 is interested in task 10.\nHost 6 is interested in task 11.\nHost 3 is interested in task 6.\nHost 4 is interested in task 10.\nHost 6 is interested in task 12.\nHost 3 is interested in task 3.\nHost 6 is interested in task 10.\nHost 1 is interested in task 1.\nHost 7 is interested in task 5.\nHost 0 is interested in task 9.\nHost 9 is interested in task 2.\nHost 1 is interested in task 13.\nHost 0 is interested in task 6.\nHost 10 is interested in task 1.\nHost 6 is interested in task 6.\nHost 8 is interested in task 3.\nHost 1 is interested in task 11.\nHost 8 is interested in task 5.\nHost 9 is interested in task 4.\nHost 5 is interested in task 0.\nHost 2 is interested in task 4.\nHost 3 is interested in task 12.\nHost 9 is interested in task 6.\nHost 4 is interested in task 4.\nHost 2 is interested in task 1.\nHost 2 is interested in task 2.\nHost 4 is interested in task 7.\nHost 0 is interested in task 3.\nHost 10 is interested in task 6.\nHost 1 is interested in task 12.\nHost 5 is interested in task 5.\nHost 2 is interested in task 9.\nHost 10 is interested in task 2.\nHost 10 is interested in task 9.\nHost 10 is interested in task 13.\nHost 8 is interested in task 10.\nHost 0 is interested in task 10.\nHost 0 is interested in task 4.\nHost 7 is interested in task 3.\nHost 5 is interested in task 13.\nHost 5 is interested in task 11.\nHost 6 is interested in task 3.\nHost 1 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 6.\nHost 10 is interested in task 3.\nHost 9 is interested in task 11.\nHost 8 is interested in task 12.\nHost 7 is interested in task 7.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3.\nHost 1 is interested in task 5.\nHost 4 is interested in task 0.\nHost 4 is interested in task 5.\nHost 6 is interested in task 7.\nHost 3 is interested in task 11.\nHost 7 is interested in task 1.\nHost 1 is interested in task 0.\nHost 7 is interested in task 9.\nHost 10 is interested in task 4.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1253", "image": "data/matching/graph_visual/hard/graph1253.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 6 is interested in task 0.\nHost 11 is interested in task 10.\nHost 9 is interested in task 12.\nHost 10 is interested in task 12.\nHost 10 is interested in task 10.\nHost 7 is interested in task 0.\nHost 5 is interested in task 7.\nHost 0 is interested in task 14.\nHost 10 is interested in task 16.\nHost 8 is interested in task 10.\nHost 2 is interested in task 12.\nHost 13 is interested in task 0.\nHost 8 is interested in task 4.\nHost 14 is interested in task 3.\nHost 2 is interested in task 1.\nHost 2 is interested in task 9.\nHost 9 is interested in task 0.\nHost 13 is interested in task 9.\nHost 11 is interested in task 4.\nHost 7 is interested in task 9.\nHost 11 is interested in task 3.\nHost 12 is interested in task 12.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 2 is interested in task 14.\nHost 0 is interested in task 7.\nHost 5 is interested in task 4.\nHost 2 is interested in task 13.\nHost 3 is interested in task 8.\nHost 9 is interested in task 5.\nHost 0 is interested in task 11.\nHost 9 is interested in task 8.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 14 is interested in task 1.\nHost 13 is interested in task 12.\nHost 3 is interested in task 5.\nHost 9 is interested in task 1.\nHost 14 is interested in task 11.\nHost 7 is interested in task 4.\nHost 8 is interested in task 6.\nHost 10 is interested in task 15.\nHost 13 is interested in task 17.\nHost 9 is interested in task 9.\nHost 10 is interested in task 13.\nHost 1 is interested in task 16.\nHost 3 is interested in task 10.\nHost 12 is interested in task 2.\nHost 10 is interested in task 4.\nHost 5 is interested in task 6.\nHost 7 is interested in task 12.\nHost 9 is interested in task 6.\nHost 7 is interested in task 10.\nHost 14 is interested in task 0.\nHost 1 is interested in task 3.\nHost 14 is interested in task 12.\nHost 0 is interested in task 0.\nHost 4 is interested in task 14.\nHost 2 is interested in task 11.\nHost 1 is interested in task 15.\nHost 14 is interested in task 16.\nHost 5 is interested in task 8.\nHost 11 is interested in task 5.\nHost 8 is interested in task 5.\nHost 7 is interested in task 2.\nHost 12 is interested in task 5.\nHost 9 is interested in task 13.\nHost 5 is interested in task 16.\nHost 8 is interested in task 9.\nHost 4 is interested in task 10.\nHost 11 is interested in task 8.\nHost 9 is interested in task 16.\nHost 9 is interested in task 11.\nHost 9 is interested in task 4.\nHost 10 is interested in task 7.\nHost 13 is interested in task 3.\nHost 11 is interested in task 15.\nHost 1 is interested in task 14.\nHost 4 is interested in task 12.\nHost 10 is interested in task 0.\nHost 3 is interested in task 12.\nHost 0 is interested in task 3.\nHost 10 is interested in task 8.\nHost 13 is interested in task 10.\nHost 1 is interested in task 13.\nHost 11 is interested in task 11.\nHost 14 is interested in task 14.\nHost 10 is interested in task 2.\nHost 9 is interested in task 7.\nHost 7 is interested in task 3.\nHost 6 is interested in task 15.\nHost 11 is interested in task 7.\nHost 9 is interested in task 17. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph88", "image": "data/matching/graph_visual/hard/graph88.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 5.\nHost 8 is interested in task 5.\nHost 2 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 2.\nHost 8 is interested in task 6.\nHost 4 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 2.\nHost 2 is interested in task 6.\nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 4 is interested in task 5.\nHost 3 is interested in task 0.\nHost 1 is interested in task 8.\nHost 8 is interested in task 3.\nHost 6 is interested in task 8.\nHost 8 is interested in task 8.\nHost 2 is interested in task 8.\nHost 0 is interested in task 3.\nHost 8 is interested in task 2.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 3 is interested in task 8.\nHost 7 is interested in task 7.\nHost 0 is interested in task 8.\nHost 4 is interested in task 8.\nHost 1 is interested in task 5.\nHost 0 is interested in task 1.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 4 is interested in task 0.\nHost 9 is interested in task 1.\nHost 7 is interested in task 1.\nHost 5 is interested in task 8.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 6 is interested in task 5.\nHost 7 is interested in task 6.\nHost 1 is interested in task 7.\nHost 1 is interested in task 1.\nHost 8 is interested in task 1.\nHost 6 is interested in task 4.\nHost 7 is interested in task 5.\nHost 6 is interested in task 7.\nHost 0 is interested in task 4.\nHost 4 is interested in task 2.\nHost 6 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph531", "image": "data/matching/graph_visual/hard/graph531.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 10.\nHost 1 is interested in task 9.\nHost 1 is interested in task 8.\nHost 2 is interested in task 9.\nHost 3 is interested in task 5.\nHost 2 is interested in task 11.\nHost 8 is interested in task 8.\nHost 11 is interested in task 10.\nHost 6 is interested in task 11.\nHost 4 is interested in task 7.\nHost 4 is interested in task 9.\nHost 5 is interested in task 2.\nHost 10 is interested in task 11.\nHost 8 is interested in task 0.\nHost 10 is interested in task 6.\nHost 9 is interested in task 7.\nHost 11 is interested in task 11.\nHost 6 is interested in task 4.\nHost 11 is interested in task 3.\nHost 0 is interested in task 1.\nHost 1 is interested in task 11.\nHost 3 is interested in task 0.\nHost 9 is interested in task 10.\nHost 9 is interested in task 11.\nHost 6 is interested in task 1.\nHost 10 is interested in task 2.\nHost 10 is interested in task 1.\nHost 0 is interested in task 9.\nHost 0 is interested in task 11.\nHost 4 is interested in task 3.\nHost 6 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 10.\nHost 4 is interested in task 6.\nHost 2 is interested in task 1.\nHost 7 is interested in task 8.\nHost 3 is interested in task 3.\nHost 9 is interested in task 8.\nHost 9 is interested in task 9.\nHost 9 is interested in task 2.\nHost 11 is interested in task 2.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 2 is interested in task 0.\nHost 8 is interested in task 2.\nHost 8 is interested in task 3.\nHost 0 is interested in task 7.\nHost 0 is interested in task 8.\nHost 9 is interested in task 4.\nHost 11 is interested in task 7.\nHost 4 is interested in task 5.\nHost 2 is interested in task 6.\nHost 4 is interested in task 2.\nHost 11 is interested in task 5.\nHost 11 is interested in task 1.\nHost 3 is interested in task 1.\nHost 0 is interested in task 5.\nHost 10 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph836", "image": "data/matching/graph_visual/hard/graph836.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 7.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 2 is interested in task 6.\nHost 0 is interested in task 5.\nHost 2 is interested in task 14.\nHost 1 is interested in task 11.\nHost 4 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 12.\nHost 5 is interested in task 11.\nHost 5 is interested in task 6.\nHost 12 is interested in task 14.\nHost 8 is interested in task 2.\nHost 0 is interested in task 1.\nHost 0 is interested in task 10.\nHost 5 is interested in task 9.\nHost 6 is interested in task 14.\nHost 6 is interested in task 4.\nHost 10 is interested in task 6.\nHost 12 is interested in task 11.\nHost 5 is interested in task 8.\nHost 1 is interested in task 6.\nHost 4 is interested in task 15.\nHost 3 is interested in task 14.\nHost 7 is interested in task 8.\nHost 12 is interested in task 15.\nHost 12 is interested in task 7.\nHost 12 is interested in task 12.\nHost 11 is interested in task 5.\nHost 3 is interested in task 9.\nHost 6 is interested in task 15.\nHost 2 is interested in task 5.\nHost 5 is interested in task 14.\nHost 11 is interested in task 2.\nHost 1 is interested in task 3.\nHost 8 is interested in task 4.\nHost 8 is interested in task 10.\nHost 5 is interested in task 0.\nHost 6 is interested in task 12.\nHost 8 is interested in task 6.\nHost 1 is interested in task 8.\nHost 10 is interested in task 4.\nHost 10 is interested in task 12.\nHost 10 is interested in task 0.\nHost 4 is interested in task 11.\nHost 7 is interested in task 7.\nHost 5 is interested in task 3.\nHost 6 is interested in task 6.\nHost 11 is interested in task 0.\nHost 12 is interested in task 8.\nHost 12 is interested in task 13.\nHost 6 is interested in task 0.\nHost 1 is interested in task 12.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 0 is interested in task 7.\nHost 7 is interested in task 14.\nHost 3 is interested in task 1.\nHost 5 is interested in task 12.\nHost 2 is interested in task 7.\nHost 11 is interested in task 6.\nHost 10 is interested in task 13.\nHost 6 is interested in task 9.\nHost 10 is interested in task 11.\nHost 0 is interested in task 12.\nHost 6 is interested in task 11.\nHost 4 is interested in task 3.\nHost 8 is interested in task 13.\nHost 1 is interested in task 4.\nHost 12 is interested in task 1.\nHost 3 is interested in task 4.\nHost 6 is interested in task 2.\nHost 8 is interested in task 9.\nHost 1 is interested in task 0.\nHost 0 is interested in task 9.\nHost 2 is interested in task 12.\nHost 8 is interested in task 1.\nHost 6 is interested in task 5.\nHost 10 is interested in task 5.\nHost 10 is interested in task 9.\nHost 8 is interested in task 15.\nHost 8 is interested in task 7.\nHost 9 is interested in task 10.\nHost 11 is interested in task 12.\nHost 12 is interested in task 6.\nHost 5 is interested in task 4.\nHost 12 is interested in task 9.\nHost 12 is interested in task 0.\nHost 10 is interested in task 10.\nHost 9 is interested in task 6.\nHost 2 is interested in task 13.\nHost 0 is interested in task 3.\nHost 5 is interested in task 5.\nHost 3 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph526", "image": "data/matching/graph_visual/hard/graph526.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 8 is interested in task 5.\nHost 3 is interested in task 1.\nHost 9 is interested in task 8.\nHost 10 is interested in task 2.\nHost 0 is interested in task 1.\nHost 3 is interested in task 11.\nHost 11 is interested in task 10.\nHost 7 is interested in task 3.\nHost 8 is interested in task 11.\nHost 5 is interested in task 1.\nHost 9 is interested in task 2.\nHost 4 is interested in task 11.\nHost 9 is interested in task 0.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 4 is interested in task 1.\nHost 2 is interested in task 6.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 9 is interested in task 4.\nHost 6 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 9.\nHost 0 is interested in task 11.\nHost 8 is interested in task 3.\nHost 2 is interested in task 2.\nHost 6 is interested in task 9.\nHost 8 is interested in task 8.\nHost 5 is interested in task 9.\nHost 11 is interested in task 6.\nHost 6 is interested in task 11.\nHost 2 is interested in task 8.\nHost 5 is interested in task 7.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 1 is interested in task 7.\nHost 10 is interested in task 11.\nHost 0 is interested in task 5.\nHost 10 is interested in task 3.\nHost 5 is interested in task 6.\nHost 6 is interested in task 8.\nHost 3 is interested in task 9.\nHost 5 is interested in task 11.\nHost 5 is interested in task 4.\nHost 4 is interested in task 9.\nHost 0 is interested in task 6.\nHost 2 is interested in task 3.\nHost 7 is interested in task 9.\nHost 2 is interested in task 1.\nHost 4 is interested in task 5.\nHost 7 is interested in task 4.\nHost 10 is interested in task 4.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 11 is interested in task 1.\nHost 4 is interested in task 8.\nHost 11 is interested in task 7.\nHost 3 is interested in task 10.\nHost 8 is interested in task 2.\nHost 2 is interested in task 0.\nHost 11 is interested in task 9.\nHost 5 is interested in task 0.\nHost 1 is interested in task 2.\nHost 2 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1245", "image": "data/matching/graph_visual/hard/graph1245.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 2.\nHost 0 is interested in task 11.\nHost 14 is interested in task 7.\nHost 3 is interested in task 17.\nHost 0 is interested in task 15.\nHost 5 is interested in task 3.\nHost 8 is interested in task 9.\nHost 3 is interested in task 10.\nHost 13 is interested in task 9.\nHost 0 is interested in task 14.\nHost 0 is interested in task 16.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 14 is interested in task 15.\nHost 3 is interested in task 15.\nHost 5 is interested in task 1.\nHost 8 is interested in task 10.\nHost 8 is interested in task 5.\nHost 13 is interested in task 10.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 7 is interested in task 4.\nHost 6 is interested in task 16.\nHost 14 is interested in task 5.\nHost 9 is interested in task 2.\nHost 7 is interested in task 3.\nHost 6 is interested in task 17.\nHost 6 is interested in task 13.\nHost 2 is interested in task 16.\nHost 7 is interested in task 12.\nHost 9 is interested in task 17.\nHost 6 is interested in task 8.\nHost 12 is interested in task 17.\nHost 3 is interested in task 5.\nHost 2 is interested in task 8.\nHost 4 is interested in task 15.\nHost 9 is interested in task 7.\nHost 1 is interested in task 13.\nHost 14 is interested in task 16.\nHost 3 is interested in task 3.\nHost 1 is interested in task 4.\nHost 14 is interested in task 4.\nHost 4 is interested in task 3.\nHost 7 is interested in task 14.\nHost 14 is interested in task 14.\nHost 12 is interested in task 8.\nHost 0 is interested in task 3.\nHost 11 is interested in task 2.\nHost 6 is interested in task 14.\nHost 13 is interested in task 0.\nHost 2 is interested in task 10.\nHost 3 is interested in task 14.\nHost 12 is interested in task 16.\nHost 7 is interested in task 13.\nHost 0 is interested in task 1.\nHost 5 is interested in task 6.\nHost 9 is interested in task 16.\nHost 5 is interested in task 7.\nHost 13 is interested in task 3.\nHost 6 is interested in task 10.\nHost 14 is interested in task 0.\nHost 2 is interested in task 15.\nHost 11 is interested in task 14.\nHost 5 is interested in task 0.\nHost 3 is interested in task 8.\nHost 9 is interested in task 1.\nHost 9 is interested in task 15.\nHost 7 is interested in task 10.\nHost 4 is interested in task 13.\nHost 6 is interested in task 9.\nHost 1 is interested in task 7.\nHost 3 is interested in task 11.\nHost 5 is interested in task 11.\nHost 12 is interested in task 5.\nHost 7 is interested in task 11.\nHost 4 is interested in task 6.\nHost 3 is interested in task 16.\nHost 2 is interested in task 7.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 13 is interested in task 11.\nHost 14 is interested in task 12.\nHost 1 is interested in task 9.\nHost 3 is interested in task 7.\nHost 4 is interested in task 11.\nHost 3 is interested in task 12.\nHost 13 is interested in task 5.\nHost 8 is interested in task 12.\nHost 7 is interested in task 8.\nHost 10 is interested in task 5.\nHost 14 is interested in task 10.\nHost 10 is interested in task 4.\nHost 5 is interested in task 14.\nHost 2 is interested in task 9.\nHost 12 is interested in task 1.\nHost 8 is interested in task 6.\nHost 1 is interested in task 12.\nHost 9 is interested in task 8.\nHost 9 is interested in task 11.\nHost 6 is interested in task 1.\nHost 13 is interested in task 2.\nHost 0 is interested in task 17.\nHost 0 is interested in task 0.\nHost 13 is interested in task 15.\nHost 0 is interested in task 10.\nHost 14 is interested in task 1.\nHost 8 is interested in task 16.\nHost 6 is interested in task 7.\nHost 13 is interested in task 1.\nHost 1 is interested in task 17.\nHost 14 is interested in task 17.\nHost 11 is interested in task 6.\nHost 4 is interested in task 5.\nHost 12 is interested in task 6.\nHost 10 is interested in task 14.\nHost 8 is interested in task 7.\nHost 8 is interested in task 13.\nHost 7 is interested in task 7.\nHost 4 is interested in task 12.\nHost 12 is interested in task 0.\nHost 2 is interested in task 17. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph494", "image": "data/matching/graph_visual/hard/graph494.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 7.\nHost 0 is interested in task 7.\nHost 4 is interested in task 6.\nHost 1 is interested in task 10.\nHost 8 is interested in task 3.\nHost 9 is interested in task 10.\nHost 6 is interested in task 6.\nHost 9 is interested in task 5.\nHost 3 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 2.\nHost 4 is interested in task 3.\nHost 6 is interested in task 9.\nHost 10 is interested in task 3.\nHost 6 is interested in task 0.\nHost 9 is interested in task 0.\nHost 11 is interested in task 8.\nHost 3 is interested in task 7.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 1.\nHost 9 is interested in task 6.\nHost 9 is interested in task 4.\nHost 5 is interested in task 7.\nHost 0 is interested in task 0.\nHost 6 is interested in task 2.\nHost 0 is interested in task 2.\nHost 10 is interested in task 6.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 6 is interested in task 8.\nHost 2 is interested in task 10.\nHost 5 is interested in task 6.\nHost 7 is interested in task 9.\nHost 7 is interested in task 1.\nHost 10 is interested in task 8.\nHost 11 is interested in task 7.\nHost 10 is interested in task 0.\nHost 11 is interested in task 3.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 11 is interested in task 1.\nHost 11 is interested in task 5.\nHost 3 is interested in task 4.\nHost 5 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph583", "image": "data/matching/graph_visual/hard/graph583.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 1 is interested in task 10.\nHost 6 is interested in task 3.\nHost 4 is interested in task 13.\nHost 6 is interested in task 6.\nHost 10 is interested in task 5.\nHost 8 is interested in task 1.\nHost 10 is interested in task 6.\nHost 10 is interested in task 3.\nHost 9 is interested in task 8.\nHost 8 is interested in task 3.\nHost 8 is interested in task 10.\nHost 1 is interested in task 7.\nHost 0 is interested in task 3.\nHost 9 is interested in task 12.\nHost 8 is interested in task 0.\nHost 3 is interested in task 13.\nHost 10 is interested in task 4.\nHost 7 is interested in task 3.\nHost 9 is interested in task 1.\nHost 2 is interested in task 10.\nHost 7 is interested in task 5.\nHost 7 is interested in task 1.\nHost 1 is interested in task 5.\nHost 10 is interested in task 10.\nHost 7 is interested in task 6.\nHost 7 is interested in task 13.\nHost 1 is interested in task 9.\nHost 5 is interested in task 7.\nHost 0 is interested in task 1.\nHost 7 is interested in task 9.\nHost 7 is interested in task 2.\nHost 11 is interested in task 13.\nHost 7 is interested in task 8.\nHost 8 is interested in task 4.\nHost 1 is interested in task 2.\nHost 11 is interested in task 11.\nHost 11 is interested in task 6.\nHost 0 is interested in task 5.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 9 is interested in task 11.\nHost 3 is interested in task 0.\nHost 1 is interested in task 8.\nHost 10 is interested in task 0.\nHost 11 is interested in task 2.\nHost 9 is interested in task 13.\nHost 4 is interested in task 3.\nHost 1 is interested in task 13.\nHost 6 is interested in task 5.\nHost 11 is interested in task 4.\nHost 3 is interested in task 2.\nHost 11 is interested in task 3.\nHost 3 is interested in task 12.\nHost 6 is interested in task 7.\nHost 7 is interested in task 7.\nHost 8 is interested in task 11.\nHost 11 is interested in task 1.\nHost 10 is interested in task 9.\nHost 1 is interested in task 1.\nHost 6 is interested in task 13.\nHost 6 is interested in task 0.\nHost 6 is interested in task 9.\nHost 9 is interested in task 7.\nHost 0 is interested in task 7.\nHost 9 is interested in task 5.\nHost 11 is interested in task 5.\nHost 8 is interested in task 7.\nHost 7 is interested in task 11.\nHost 2 is interested in task 2.\nHost 6 is interested in task 11.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph267", "image": "data/matching/graph_visual/hard/graph267.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 4 is interested in task 8.\nHost 2 is interested in task 6.\nHost 10 is interested in task 0.\nHost 6 is interested in task 0.\nHost 2 is interested in task 0.\nHost 3 is interested in task 3.\nHost 8 is interested in task 8.\nHost 4 is interested in task 4.\nHost 4 is interested in task 7.\nHost 1 is interested in task 3.\nHost 7 is interested in task 5.\nHost 6 is interested in task 3.\nHost 2 is interested in task 2.\nHost 2 is interested in task 4.\nHost 7 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 0.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 8 is interested in task 2.\nHost 9 is interested in task 8.\nHost 3 is interested in task 8.\nHost 1 is interested in task 4.\nHost 5 is interested in task 3.\nHost 8 is interested in task 6.\nHost 5 is interested in task 5.\nHost 2 is interested in task 8.\nHost 7 is interested in task 1.\nHost 7 is interested in task 8.\nHost 6 is interested in task 4.\nHost 4 is interested in task 6.\nHost 8 is interested in task 3.\nHost 9 is interested in task 3.\nHost 9 is interested in task 4.\nHost 8 is interested in task 5.\nHost 2 is interested in task 7.\nHost 8 is interested in task 0.\nHost 0 is interested in task 7.\nHost 10 is interested in task 6.\nHost 8 is interested in task 7.\nHost 9 is interested in task 6.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 1 is interested in task 1.\nHost 0 is interested in task 0.\nHost 6 is interested in task 7.\nHost 9 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph638", "image": "data/matching/graph_visual/hard/graph638.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 6.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 3.\nHost 7 is interested in task 0.\nHost 10 is interested in task 8.\nHost 5 is interested in task 4.\nHost 3 is interested in task 0.\nHost 8 is interested in task 0.\nHost 1 is interested in task 1.\nHost 2 is interested in task 4.\nHost 8 is interested in task 9.\nHost 7 is interested in task 9.\nHost 3 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 6.\nHost 10 is interested in task 2.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 9.\nHost 3 is interested in task 5.\nHost 1 is interested in task 7.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 5 is interested in task 9.\nHost 3 is interested in task 9.\nHost 7 is interested in task 3.\nHost 5 is interested in task 5.\nHost 11 is interested in task 2.\nHost 11 is interested in task 3.\nHost 5 is interested in task 0.\nHost 2 is interested in task 3.\nHost 4 is interested in task 3.\nHost 0 is interested in task 0.\nHost 8 is interested in task 4.\nHost 9 is interested in task 7.\nHost 4 is interested in task 8.\nHost 11 is interested in task 0.\nHost 9 is interested in task 1.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph72", "image": "data/matching/graph_visual/hard/graph72.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 2.\nHost 4 is interested in task 8.\nHost 6 is interested in task 0.\nHost 4 is interested in task 5.\nHost 6 is interested in task 3.\nHost 9 is interested in task 5.\nHost 5 is interested in task 7.\nHost 2 is interested in task 5.\nHost 1 is interested in task 0.\nHost 4 is interested in task 1.\nHost 5 is interested in task 1.\nHost 5 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 0.\nHost 9 is interested in task 3.\nHost 8 is interested in task 8.\nHost 2 is interested in task 8.\nHost 3 is interested in task 8.\nHost 7 is interested in task 2.\nHost 8 is interested in task 5.\nHost 0 is interested in task 8.\nHost 7 is interested in task 5.\nHost 4 is interested in task 6.\nHost 2 is interested in task 4.\nHost 7 is interested in task 7.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 0 is interested in task 1.\nHost 3 is interested in task 1.\nHost 1 is interested in task 6.\nHost 3 is interested in task 3.\nHost 7 is interested in task 0.\nHost 0 is interested in task 7.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 7 is interested in task 6.\nHost 1 is interested in task 8.\nHost 6 is interested in task 8.\nHost 2 is interested in task 7.\nHost 8 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph185", "image": "data/matching/graph_visual/hard/graph185.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 12.\nHost 4 is interested in task 11.\nHost 8 is interested in task 11.\nHost 3 is interested in task 6.\nHost 0 is interested in task 11.\nHost 0 is interested in task 9.\nHost 3 is interested in task 10.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 7 is interested in task 0.\nHost 0 is interested in task 0.\nHost 9 is interested in task 6.\nHost 2 is interested in task 9.\nHost 3 is interested in task 12.\nHost 5 is interested in task 9.\nHost 1 is interested in task 7.\nHost 7 is interested in task 10.\nHost 9 is interested in task 4.\nHost 4 is interested in task 4.\nHost 5 is interested in task 3.\nHost 9 is interested in task 5.\nHost 1 is interested in task 12.\nHost 3 is interested in task 7.\nHost 7 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 5.\nHost 1 is interested in task 6.\nHost 1 is interested in task 11.\nHost 7 is interested in task 1.\nHost 6 is interested in task 8.\nHost 3 is interested in task 3.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 10.\nHost 8 is interested in task 2.\nHost 4 is interested in task 12.\nHost 1 is interested in task 8.\nHost 8 is interested in task 0.\nHost 0 is interested in task 8.\nHost 3 is interested in task 9.\nHost 8 is interested in task 6.\nHost 6 is interested in task 6.\nHost 0 is interested in task 12.\nHost 2 is interested in task 8.\nHost 1 is interested in task 9.\nHost 4 is interested in task 0.\nHost 0 is interested in task 7.\nHost 6 is interested in task 9.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph255", "image": "data/matching/graph_visual/hard/graph255.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 8.\nHost 2 is interested in task 6.\nHost 8 is interested in task 0.\nHost 7 is interested in task 6.\nHost 9 is interested in task 4.\nHost 3 is interested in task 7.\nHost 10 is interested in task 5.\nHost 4 is interested in task 4.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 3 is interested in task 3.\nHost 8 is interested in task 5.\nHost 2 is interested in task 7.\nHost 9 is interested in task 1.\nHost 3 is interested in task 5.\nHost 10 is interested in task 2.\nHost 8 is interested in task 4.\nHost 3 is interested in task 8.\nHost 4 is interested in task 5.\nHost 2 is interested in task 3.\nHost 3 is interested in task 6.\nHost 8 is interested in task 8.\nHost 6 is interested in task 4.\nHost 10 is interested in task 1.\nHost 4 is interested in task 0.\nHost 4 is interested in task 1.\nHost 5 is interested in task 8.\nHost 6 is interested in task 7.\nHost 9 is interested in task 2.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 7 is interested in task 0.\nHost 8 is interested in task 3.\nHost 6 is interested in task 6.\nHost 9 is interested in task 3.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 10 is interested in task 0.\nHost 6 is interested in task 2.\nHost 4 is interested in task 2.\nHost 10 is interested in task 6.\nHost 1 is interested in task 2.\nHost 6 is interested in task 0.\nHost 9 is interested in task 8.\nHost 2 is interested in task 4.\nHost 2 is interested in task 8.\nHost 0 is interested in task 3.\nHost 10 is interested in task 7.\nHost 3 is interested in task 4.\nHost 10 is interested in task 4.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph802", "image": "data/matching/graph_visual/hard/graph802.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 12.\nHost 1 is interested in task 5.\nHost 8 is interested in task 3.\nHost 8 is interested in task 10.\nHost 3 is interested in task 6.\nHost 10 is interested in task 5.\nHost 6 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 6.\nHost 9 is interested in task 13.\nHost 6 is interested in task 10.\nHost 1 is interested in task 13.\nHost 12 is interested in task 7.\nHost 12 is interested in task 13.\nHost 8 is interested in task 6.\nHost 8 is interested in task 12.\nHost 6 is interested in task 5.\nHost 9 is interested in task 10.\nHost 5 is interested in task 6.\nHost 11 is interested in task 8.\nHost 0 is interested in task 3.\nHost 1 is interested in task 10.\nHost 11 is interested in task 5.\nHost 10 is interested in task 11.\nHost 5 is interested in task 13.\nHost 11 is interested in task 9.\nHost 12 is interested in task 6.\nHost 12 is interested in task 4.\nHost 3 is interested in task 4.\nHost 2 is interested in task 3.\nHost 3 is interested in task 13.\nHost 1 is interested in task 0.\nHost 3 is interested in task 9.\nHost 12 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 14.\nHost 5 is interested in task 7.\nHost 9 is interested in task 0.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 3 is interested in task 12.\nHost 11 is interested in task 0.\nHost 7 is interested in task 13.\nHost 9 is interested in task 4.\nHost 9 is interested in task 14.\nHost 2 is interested in task 5.\nHost 2 is interested in task 8.\nHost 0 is interested in task 11.\nHost 9 is interested in task 3.\nHost 8 is interested in task 7.\nHost 9 is interested in task 9.\nHost 9 is interested in task 11.\nHost 2 is interested in task 12.\nHost 11 is interested in task 11.\nHost 10 is interested in task 9.\nHost 11 is interested in task 13.\nHost 0 is interested in task 9.\nHost 4 is interested in task 7.\nHost 5 is interested in task 14.\nHost 5 is interested in task 4.\nHost 3 is interested in task 10.\nHost 12 is interested in task 2.\nHost 11 is interested in task 4.\nHost 4 is interested in task 12.\nHost 7 is interested in task 9.\nHost 4 is interested in task 4.\nHost 7 is interested in task 12.\nHost 12 is interested in task 14.\nHost 0 is interested in task 14.\nHost 3 is interested in task 3.\nHost 10 is interested in task 13.\nHost 2 is interested in task 10.\nHost 0 is interested in task 7.\nHost 6 is interested in task 8.\nHost 5 is interested in task 10.\nHost 7 is interested in task 7.\nHost 8 is interested in task 2.\nHost 11 is interested in task 7.\nHost 11 is interested in task 12.\nHost 2 is interested in task 2.\nHost 4 is interested in task 8.\nHost 2 is interested in task 7.\nHost 0 is interested in task 1.\nHost 4 is interested in task 14.\nHost 7 is interested in task 11.\nHost 1 is interested in task 1.\nHost 9 is interested in task 6.\nHost 1 is interested in task 9.\nHost 3 is interested in task 7.\nHost 1 is interested in task 4.\nHost 11 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph658", "image": "data/matching/graph_visual/hard/graph658.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 5.\nHost 2 is interested in task 8.\nHost 6 is interested in task 1.\nHost 1 is interested in task 6.\nHost 9 is interested in task 0.\nHost 2 is interested in task 2.\nHost 1 is interested in task 4.\nHost 7 is interested in task 5.\nHost 11 is interested in task 6.\nHost 0 is interested in task 3.\nHost 10 is interested in task 4.\nHost 9 is interested in task 3.\nHost 0 is interested in task 4.\nHost 8 is interested in task 2.\nHost 7 is interested in task 4.\nHost 7 is interested in task 3.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 11 is interested in task 0.\nHost 0 is interested in task 6.\nHost 1 is interested in task 3.\nHost 10 is interested in task 7.\nHost 8 is interested in task 4.\nHost 7 is interested in task 1.\nHost 7 is interested in task 9.\nHost 8 is interested in task 1.\nHost 2 is interested in task 0.\nHost 5 is interested in task 8.\nHost 7 is interested in task 2.\nHost 5 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 7.\nHost 10 is interested in task 8.\nHost 1 is interested in task 2.\nHost 6 is interested in task 9.\nHost 12 is interested in task 6.\nHost 6 is interested in task 5.\nHost 5 is interested in task 7.\nHost 8 is interested in task 0.\nHost 3 is interested in task 3.\nHost 4 is interested in task 1.\nHost 0 is interested in task 7.\nHost 1 is interested in task 7.\nHost 5 is interested in task 1.\nHost 6 is interested in task 3.\nHost 0 is interested in task 2.\nHost 0 is interested in task 9.\nHost 7 is interested in task 0.\nHost 0 is interested in task 1.\nHost 4 is interested in task 2.\nHost 1 is interested in task 9.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5.\nHost 8 is interested in task 3.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph590", "image": "data/matching/graph_visual/hard/graph590.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 10.\nHost 9 is interested in task 8.\nHost 3 is interested in task 13.\nHost 3 is interested in task 7.\nHost 5 is interested in task 10.\nHost 4 is interested in task 11.\nHost 7 is interested in task 8.\nHost 2 is interested in task 12.\nHost 6 is interested in task 2.\nHost 7 is interested in task 6.\nHost 11 is interested in task 13.\nHost 6 is interested in task 13.\nHost 7 is interested in task 5.\nHost 5 is interested in task 13.\nHost 11 is interested in task 8.\nHost 10 is interested in task 0.\nHost 1 is interested in task 9.\nHost 0 is interested in task 0.\nHost 9 is interested in task 1.\nHost 5 is interested in task 11.\nHost 5 is interested in task 9.\nHost 9 is interested in task 0.\nHost 7 is interested in task 7.\nHost 10 is interested in task 2.\nHost 3 is interested in task 9.\nHost 6 is interested in task 4.\nHost 3 is interested in task 1.\nHost 1 is interested in task 7.\nHost 6 is interested in task 10.\nHost 7 is interested in task 11.\nHost 5 is interested in task 1.\nHost 5 is interested in task 8.\nHost 4 is interested in task 0.\nHost 3 is interested in task 2.\nHost 5 is interested in task 12.\nHost 8 is interested in task 8.\nHost 3 is interested in task 0.\nHost 5 is interested in task 2.\nHost 0 is interested in task 4.\nHost 0 is interested in task 6.\nHost 4 is interested in task 13.\nHost 0 is interested in task 2.\nHost 2 is interested in task 5.\nHost 6 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 3.\nHost 6 is interested in task 11.\nHost 4 is interested in task 1.\nHost 11 is interested in task 1.\nHost 4 is interested in task 9.\nHost 10 is interested in task 5.\nHost 7 is interested in task 2.\nHost 3 is interested in task 6.\nHost 0 is interested in task 13.\nHost 7 is interested in task 9.\nHost 4 is interested in task 5.\nHost 6 is interested in task 8.\nHost 11 is interested in task 5.\nHost 4 is interested in task 8.\nHost 4 is interested in task 10.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 3 is interested in task 4.\nHost 7 is interested in task 13.\nHost 5 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 10.\nHost 0 is interested in task 8.\nHost 5 is interested in task 3.\nHost 10 is interested in task 12.\nHost 6 is interested in task 9.\nHost 11 is interested in task 0.\nHost 3 is interested in task 12.\nHost 6 is interested in task 12.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph625", "image": "data/matching/graph_visual/hard/graph625.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 9.\nHost 1 is interested in task 9.\nHost 7 is interested in task 0.\nHost 2 is interested in task 12.\nHost 4 is interested in task 6.\nHost 0 is interested in task 7.\nHost 9 is interested in task 6.\nHost 11 is interested in task 10.\nHost 8 is interested in task 0.\nHost 9 is interested in task 2.\nHost 9 is interested in task 3.\nHost 6 is interested in task 12.\nHost 7 is interested in task 13.\nHost 0 is interested in task 13.\nHost 9 is interested in task 7.\nHost 9 is interested in task 0.\nHost 8 is interested in task 5.\nHost 10 is interested in task 5.\nHost 2 is interested in task 11.\nHost 9 is interested in task 8.\nHost 0 is interested in task 0.\nHost 10 is interested in task 13.\nHost 10 is interested in task 3.\nHost 0 is interested in task 9.\nHost 3 is interested in task 9.\nHost 5 is interested in task 12.\nHost 7 is interested in task 8.\nHost 7 is interested in task 11.\nHost 3 is interested in task 6.\nHost 6 is interested in task 6.\nHost 11 is interested in task 1.\nHost 8 is interested in task 14.\nHost 10 is interested in task 12.\nHost 10 is interested in task 9.\nHost 11 is interested in task 13.\nHost 6 is interested in task 7.\nHost 11 is interested in task 7.\nHost 9 is interested in task 13.\nHost 5 is interested in task 8.\nHost 10 is interested in task 0.\nHost 9 is interested in task 10.\nHost 6 is interested in task 13.\nHost 7 is interested in task 1.\nHost 6 is interested in task 4.\nHost 10 is interested in task 6.\nHost 8 is interested in task 8.\nHost 6 is interested in task 5.\nHost 11 is interested in task 14.\nHost 2 is interested in task 2.\nHost 8 is interested in task 1.\nHost 7 is interested in task 10.\nHost 3 is interested in task 11.\nHost 4 is interested in task 0.\nHost 4 is interested in task 14.\nHost 9 is interested in task 9.\nHost 11 is interested in task 0.\nHost 4 is interested in task 2.\nHost 6 is interested in task 2.\nHost 1 is interested in task 10.\nHost 4 is interested in task 5.\nHost 2 is interested in task 5.\nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 11 is interested in task 5.\nHost 6 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 9.\nHost 5 is interested in task 9.\nHost 1 is interested in task 5.\nHost 5 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1053", "image": "data/matching/graph_visual/hard/graph1053.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 10.\nHost 7 is interested in task 11.\nHost 10 is interested in task 3.\nHost 10 is interested in task 11.\nHost 11 is interested in task 2.\nHost 2 is interested in task 8.\nHost 8 is interested in task 9.\nHost 9 is interested in task 2.\nHost 10 is interested in task 5.\nHost 6 is interested in task 9.\nHost 9 is interested in task 10.\nHost 9 is interested in task 4.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 5 is interested in task 8.\nHost 5 is interested in task 4.\nHost 5 is interested in task 11.\nHost 7 is interested in task 2.\nHost 12 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 11.\nHost 12 is interested in task 6.\nHost 12 is interested in task 2.\nHost 10 is interested in task 1.\nHost 1 is interested in task 11.\nHost 2 is interested in task 2.\nHost 11 is interested in task 11.\nHost 3 is interested in task 9.\nHost 1 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 8.\nHost 3 is interested in task 4.\nHost 10 is interested in task 0.\nHost 1 is interested in task 0.\nHost 4 is interested in task 3.\nHost 8 is interested in task 11.\nHost 12 is interested in task 10.\nHost 7 is interested in task 7.\nHost 11 is interested in task 3.\nHost 14 is interested in task 10.\nHost 12 is interested in task 0.\nHost 14 is interested in task 8.\nHost 14 is interested in task 1.\nHost 8 is interested in task 1.\nHost 4 is interested in task 9.\nHost 4 is interested in task 10.\nHost 5 is interested in task 0.\nHost 4 is interested in task 2.\nHost 7 is interested in task 10.\nHost 5 is interested in task 7.\nHost 12 is interested in task 7.\nHost 5 is interested in task 3.\nHost 8 is interested in task 5.\nHost 4 is interested in task 11.\nHost 0 is interested in task 11.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 13 is interested in task 0.\nHost 2 is interested in task 4.\nHost 7 is interested in task 1.\nHost 11 is interested in task 5.\nHost 9 is interested in task 11.\nHost 4 is interested in task 1.\nHost 10 is interested in task 4.\nHost 1 is interested in task 7.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph797", "image": "data/matching/graph_visual/hard/graph797.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 3.\nHost 3 is interested in task 9.\nHost 3 is interested in task 0.\nHost 1 is interested in task 14.\nHost 11 is interested in task 6.\nHost 11 is interested in task 1.\nHost 6 is interested in task 1.\nHost 10 is interested in task 11.\nHost 1 is interested in task 2.\nHost 2 is interested in task 14.\nHost 4 is interested in task 2.\nHost 0 is interested in task 9.\nHost 11 is interested in task 2.\nHost 5 is interested in task 12.\nHost 6 is interested in task 12.\nHost 1 is interested in task 0.\nHost 5 is interested in task 7.\nHost 8 is interested in task 11.\nHost 2 is interested in task 4.\nHost 5 is interested in task 5.\nHost 6 is interested in task 0.\nHost 11 is interested in task 14.\nHost 11 is interested in task 8.\nHost 5 is interested in task 13.\nHost 4 is interested in task 6.\nHost 6 is interested in task 9.\nHost 11 is interested in task 5.\nHost 1 is interested in task 9.\nHost 0 is interested in task 6.\nHost 10 is interested in task 0.\nHost 3 is interested in task 12.\nHost 7 is interested in task 13.\nHost 7 is interested in task 10.\nHost 12 is interested in task 2.\nHost 3 is interested in task 3.\nHost 12 is interested in task 9.\nHost 11 is interested in task 12.\nHost 11 is interested in task 0.\nHost 5 is interested in task 11.\nHost 12 is interested in task 11.\nHost 9 is interested in task 5.\nHost 3 is interested in task 2.\nHost 1 is interested in task 12.\nHost 8 is interested in task 4.\nHost 12 is interested in task 12.\nHost 6 is interested in task 7.\nHost 6 is interested in task 8.\nHost 2 is interested in task 10.\nHost 10 is interested in task 12.\nHost 12 is interested in task 14.\nHost 1 is interested in task 7.\nHost 8 is interested in task 13.\nHost 1 is interested in task 1.\nHost 4 is interested in task 14.\nHost 4 is interested in task 8.\nHost 1 is interested in task 5.\nHost 12 is interested in task 4.\nHost 5 is interested in task 14.\nHost 12 is interested in task 13.\nHost 11 is interested in task 13.\nHost 9 is interested in task 3.\nHost 11 is interested in task 3.\nHost 8 is interested in task 1.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 6 is interested in task 11.\nHost 8 is interested in task 9.\nHost 12 is interested in task 5.\nHost 12 is interested in task 6.\nHost 0 is interested in task 14.\nHost 5 is interested in task 1.\nHost 1 is interested in task 8.\nHost 12 is interested in task 7.\nHost 1 is interested in task 10.\nHost 3 is interested in task 8.\nHost 10 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph440", "image": "data/matching/graph_visual/hard/graph440.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 0.\nHost 5 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 5.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 6 is interested in task 4.\nHost 8 is interested in task 7.\nHost 9 is interested in task 5.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 0 is interested in task 8.\nHost 11 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 2.\nHost 7 is interested in task 8.\nHost 0 is interested in task 2.\nHost 1 is interested in task 8.\nHost 6 is interested in task 2.\nHost 0 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 0.\nHost 10 is interested in task 8.\nHost 4 is interested in task 6.\nHost 11 is interested in task 6.\nHost 1 is interested in task 7.\nHost 1 is interested in task 5.\nHost 3 is interested in task 8.\nHost 10 is interested in task 4.\nHost 4 is interested in task 4.\nHost 7 is interested in task 5.\nHost 5 is interested in task 8.\nHost 8 is interested in task 2.\nHost 7 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 10 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 6.\nHost 7 is interested in task 6.\nHost 0 is interested in task 4.\nHost 3 is interested in task 5.\nHost 0 is interested in task 1.\nHost 2 is interested in task 5.\nHost 9 is interested in task 0.\nHost 11 is interested in task 0.\nHost 3 is interested in task 2.\nHost 7 is interested in task 3.\nHost 11 is interested in task 8.\nHost 8 is interested in task 6.\nHost 0 is interested in task 6.\nHost 2 is interested in task 6.\nHost 10 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph567", "image": "data/matching/graph_visual/hard/graph567.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 12.\nHost 7 is interested in task 2.\nHost 9 is interested in task 8.\nHost 7 is interested in task 5.\nHost 6 is interested in task 2.\nHost 11 is interested in task 2.\nHost 6 is interested in task 1.\nHost 6 is interested in task 0.\nHost 11 is interested in task 0.\nHost 7 is interested in task 8.\nHost 3 is interested in task 6.\nHost 6 is interested in task 5.\nHost 11 is interested in task 6.\nHost 9 is interested in task 5.\nHost 7 is interested in task 10.\nHost 11 is interested in task 10.\nHost 6 is interested in task 8.\nHost 11 is interested in task 12.\nHost 11 is interested in task 1.\nHost 1 is interested in task 5.\nHost 2 is interested in task 4.\nHost 0 is interested in task 2.\nHost 4 is interested in task 0.\nHost 0 is interested in task 8.\nHost 10 is interested in task 11.\nHost 2 is interested in task 5.\nHost 3 is interested in task 5.\nHost 5 is interested in task 12.\nHost 0 is interested in task 12.\nHost 8 is interested in task 4.\nHost 1 is interested in task 2.\nHost 7 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 7.\nHost 5 is interested in task 11.\nHost 10 is interested in task 3.\nHost 8 is interested in task 6.\nHost 6 is interested in task 7.\nHost 3 is interested in task 10.\nHost 2 is interested in task 7.\nHost 0 is interested in task 7.\nHost 3 is interested in task 8.\nHost 11 is interested in task 4.\nHost 3 is interested in task 9.\nHost 11 is interested in task 7.\nHost 2 is interested in task 8.\nHost 7 is interested in task 0.\nHost 4 is interested in task 2.\nHost 5 is interested in task 4.\nHost 8 is interested in task 8.\nHost 7 is interested in task 3.\nHost 4 is interested in task 10.\nHost 11 is interested in task 8.\nHost 4 is interested in task 12.\nHost 6 is interested in task 9.\nHost 6 is interested in task 10.\nHost 8 is interested in task 9.\nHost 4 is interested in task 8.\nHost 0 is interested in task 1.\nHost 11 is interested in task 5.\nHost 2 is interested in task 10.\nHost 11 is interested in task 3.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph825", "image": "data/matching/graph_visual/hard/graph825.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 9.\nHost 6 is interested in task 8.\nHost 10 is interested in task 7.\nHost 2 is interested in task 3.\nHost 2 is interested in task 10.\nHost 8 is interested in task 6.\nHost 1 is interested in task 9.\nHost 9 is interested in task 0.\nHost 3 is interested in task 7.\nHost 11 is interested in task 9.\nHost 12 is interested in task 14.\nHost 1 is interested in task 1.\nHost 7 is interested in task 2.\nHost 1 is interested in task 14.\nHost 2 is interested in task 8.\nHost 4 is interested in task 3.\nHost 5 is interested in task 11.\nHost 12 is interested in task 1.\nHost 12 is interested in task 13.\nHost 7 is interested in task 13.\nHost 11 is interested in task 13.\nHost 4 is interested in task 8.\nHost 12 is interested in task 10.\nHost 5 is interested in task 1.\nHost 4 is interested in task 13.\nHost 6 is interested in task 13.\nHost 5 is interested in task 0.\nHost 9 is interested in task 5.\nHost 5 is interested in task 5.\nHost 6 is interested in task 1.\nHost 0 is interested in task 8.\nHost 9 is interested in task 8.\nHost 11 is interested in task 12.\nHost 8 is interested in task 4.\nHost 6 is interested in task 15.\nHost 9 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 15.\nHost 2 is interested in task 13.\nHost 8 is interested in task 15.\nHost 11 is interested in task 11.\nHost 3 is interested in task 1.\nHost 0 is interested in task 10.\nHost 11 is interested in task 0.\nHost 6 is interested in task 0.\nHost 5 is interested in task 8.\nHost 12 is interested in task 4.\nHost 11 is interested in task 7.\nHost 6 is interested in task 14.\nHost 5 is interested in task 14.\nHost 2 is interested in task 9.\nHost 9 is interested in task 9.\nHost 2 is interested in task 5.\nHost 7 is interested in task 11.\nHost 7 is interested in task 3.\nHost 12 is interested in task 0.\nHost 11 is interested in task 8.\nHost 0 is interested in task 4.\nHost 1 is interested in task 12.\nHost 8 is interested in task 10.\nHost 4 is interested in task 12.\nHost 10 is interested in task 6.\nHost 6 is interested in task 5.\nHost 0 is interested in task 11.\nHost 2 is interested in task 2.\nHost 2 is interested in task 14.\nHost 10 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph1186", "image": "data/matching/graph_visual/hard/graph1186.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 15.\nHost 0 is interested in task 2.\nHost 4 is interested in task 11.\nHost 8 is interested in task 9.\nHost 2 is interested in task 1.\nHost 8 is interested in task 3.\nHost 7 is interested in task 7.\nHost 0 is interested in task 4.\nHost 6 is interested in task 5.\nHost 6 is interested in task 13.\nHost 14 is interested in task 14.\nHost 11 is interested in task 10.\nHost 0 is interested in task 1.\nHost 12 is interested in task 14.\nHost 4 is interested in task 3.\nHost 7 is interested in task 5.\nHost 14 is interested in task 9.\nHost 12 is interested in task 0.\nHost 4 is interested in task 5.\nHost 1 is interested in task 13.\nHost 10 is interested in task 5.\nHost 9 is interested in task 3.\nHost 7 is interested in task 15.\nHost 11 is interested in task 9.\nHost 8 is interested in task 12.\nHost 8 is interested in task 6.\nHost 13 is interested in task 3.\nHost 1 is interested in task 5.\nHost 12 is interested in task 10.\nHost 5 is interested in task 9.\nHost 1 is interested in task 10.\nHost 8 is interested in task 14.\nHost 14 is interested in task 4.\nHost 6 is interested in task 7.\nHost 0 is interested in task 3.\nHost 13 is interested in task 9.\nHost 12 is interested in task 3.\nHost 0 is interested in task 5.\nHost 5 is interested in task 3.\nHost 2 is interested in task 15.\nHost 9 is interested in task 5.\nHost 9 is interested in task 10.\nHost 6 is interested in task 3.\nHost 9 is interested in task 12.\nHost 11 is interested in task 14.\nHost 0 is interested in task 9.\nHost 14 is interested in task 11.\nHost 6 is interested in task 14.\nHost 7 is interested in task 0.\nHost 2 is interested in task 0.\nHost 7 is interested in task 9.\nHost 7 is interested in task 4.\nHost 14 is interested in task 0.\nHost 10 is interested in task 4.\nHost 2 is interested in task 10.\nHost 12 is interested in task 15.\nHost 0 is interested in task 11.\nHost 6 is interested in task 8.\nHost 11 is interested in task 4.\nHost 7 is interested in task 6.\nHost 7 is interested in task 1.\nHost 6 is interested in task 15.\nHost 1 is interested in task 9.\nHost 4 is interested in task 4.\nHost 5 is interested in task 5.\nHost 11 is interested in task 5.\nHost 10 is interested in task 3.\nHost 11 is interested in task 1.\nHost 11 is interested in task 0.\nHost 10 is interested in task 13.\nHost 12 is interested in task 5.\nHost 12 is interested in task 9.\nHost 2 is interested in task 8.\nHost 4 is interested in task 15.\nHost 9 is interested in task 8.\nHost 12 is interested in task 4.\nHost 3 is interested in task 12.\nHost 2 is interested in task 9.\nHost 13 is interested in task 0.\nHost 9 is interested in task 0.\nHost 11 is interested in task 7.\nHost 13 is interested in task 4.\nHost 13 is interested in task 2.\nHost 1 is interested in task 7.\nHost 8 is interested in task 8.\nHost 12 is interested in task 1.\nHost 8 is interested in task 15.\nHost 10 is interested in task 15.\nHost 8 is interested in task 7.\nHost 14 is interested in task 6.\nHost 1 is interested in task 11.\nHost 14 is interested in task 10.\nHost 4 is interested in task 12.\nHost 14 is interested in task 7.\nHost 11 is interested in task 11.\nHost 11 is interested in task 12.\nHost 6 is interested in task 6.\nHost 11 is interested in task 8.\nHost 2 is interested in task 6.\nHost 0 is interested in task 7.\nHost 6 is interested in task 2.\nHost 5 is interested in task 7.\nHost 0 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph1058", "image": "data/matching/graph_visual/hard/graph1058.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 6.\nHost 13 is interested in task 9.\nHost 9 is interested in task 11.\nHost 12 is interested in task 6.\nHost 7 is interested in task 2.\nHost 9 is interested in task 9.\nHost 5 is interested in task 11.\nHost 9 is interested in task 6.\nHost 3 is interested in task 11.\nHost 0 is interested in task 6.\nHost 3 is interested in task 1.\nHost 0 is interested in task 2.\nHost 13 is interested in task 7.\nHost 1 is interested in task 8.\nHost 8 is interested in task 6.\nHost 6 is interested in task 5.\nHost 2 is interested in task 0.\nHost 4 is interested in task 8.\nHost 0 is interested in task 9.\nHost 11 is interested in task 11.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 5 is interested in task 3.\nHost 9 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 10.\nHost 10 is interested in task 7.\nHost 14 is interested in task 11.\nHost 9 is interested in task 5.\nHost 12 is interested in task 9.\nHost 14 is interested in task 10.\nHost 2 is interested in task 6.\nHost 10 is interested in task 5.\nHost 14 is interested in task 2.\nHost 10 is interested in task 4.\nHost 14 is interested in task 9.\nHost 14 is interested in task 1.\nHost 0 is interested in task 4.\nHost 2 is interested in task 10.\nHost 8 is interested in task 8.\nHost 14 is interested in task 8.\nHost 3 is interested in task 3.\nHost 14 is interested in task 7.\nHost 14 is interested in task 0.\nHost 12 is interested in task 3.\nHost 10 is interested in task 1.\nHost 9 is interested in task 10.\nHost 13 is interested in task 2.\nHost 9 is interested in task 0.\nHost 6 is interested in task 4.\nHost 10 is interested in task 3.\nHost 8 is interested in task 11.\nHost 5 is interested in task 9.\nHost 14 is interested in task 3.\nHost 14 is interested in task 6.\nHost 10 is interested in task 11.\nHost 13 is interested in task 4.\nHost 11 is interested in task 3.\nHost 5 is interested in task 8.\nHost 1 is interested in task 11.\nHost 0 is interested in task 7.\nHost 6 is interested in task 11.\nHost 11 is interested in task 7.\nHost 0 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 6.\nHost 5 is interested in task 4.\nHost 11 is interested in task 4.\nHost 1 is interested in task 9.\nHost 12 is interested in task 8.\nHost 9 is interested in task 7.\nHost 10 is interested in task 9.\nHost 9 is interested in task 2.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 9 is interested in task 8.\nHost 7 is interested in task 7.\nHost 1 is interested in task 0.\nHost 7 is interested in task 1.\nHost 1 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph138", "image": "data/matching/graph_visual/hard/graph138.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 2.\nHost 9 is interested in task 3.\nHost 3 is interested in task 5.\nHost 2 is interested in task 10.\nHost 5 is interested in task 8.\nHost 7 is interested in task 10.\nHost 1 is interested in task 9.\nHost 8 is interested in task 3.\nHost 6 is interested in task 4.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 8.\nHost 8 is interested in task 9.\nHost 5 is interested in task 7.\nHost 2 is interested in task 5.\nHost 7 is interested in task 9.\nHost 4 is interested in task 6.\nHost 3 is interested in task 10.\nHost 7 is interested in task 4.\nHost 2 is interested in task 4.\nHost 6 is interested in task 2.\nHost 7 is interested in task 5.\nHost 3 is interested in task 4.\nHost 4 is interested in task 9.\nHost 5 is interested in task 4.\nHost 1 is interested in task 1.\nHost 5 is interested in task 10.\nHost 7 is interested in task 3.\nHost 1 is interested in task 0.\nHost 9 is interested in task 6.\nHost 1 is interested in task 7.\nHost 2 is interested in task 7.\nHost 5 is interested in task 9.\nHost 7 is interested in task 7.\nHost 4 is interested in task 1.\nHost 0 is interested in task 8.\nHost 8 is interested in task 0.\nHost 5 is interested in task 2.\nHost 9 is interested in task 8.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1050", "image": "data/matching/graph_visual/hard/graph1050.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 2.\nHost 13 is interested in task 1.\nHost 5 is interested in task 10.\nHost 0 is interested in task 6.\nHost 14 is interested in task 4.\nHost 8 is interested in task 4.\nHost 8 is interested in task 5.\nHost 10 is interested in task 3.\nHost 1 is interested in task 9.\nHost 10 is interested in task 4.\nHost 3 is interested in task 7.\nHost 7 is interested in task 0.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 9.\nHost 10 is interested in task 1.\nHost 1 is interested in task 4.\nHost 5 is interested in task 11.\nHost 1 is interested in task 2.\nHost 2 is interested in task 9.\nHost 0 is interested in task 1.\nHost 10 is interested in task 10.\nHost 4 is interested in task 6.\nHost 11 is interested in task 4.\nHost 8 is interested in task 1.\nHost 1 is interested in task 1.\nHost 6 is interested in task 11.\nHost 7 is interested in task 4.\nHost 5 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 3.\nHost 4 is interested in task 11.\nHost 8 is interested in task 2.\nHost 2 is interested in task 1.\nHost 12 is interested in task 10.\nHost 8 is interested in task 9.\nHost 2 is interested in task 2.\nHost 8 is interested in task 8.\nHost 4 is interested in task 2.\nHost 12 is interested in task 3.\nHost 0 is interested in task 2.\nHost 1 is interested in task 0.\nHost 10 is interested in task 8.\nHost 6 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 5.\nHost 9 is interested in task 3.\nHost 3 is interested in task 6.\nHost 1 is interested in task 6.\nHost 13 is interested in task 4.\nHost 1 is interested in task 5.\nHost 12 is interested in task 1.\nHost 7 is interested in task 3.\nHost 2 is interested in task 11.\nHost 4 is interested in task 4.\nHost 3 is interested in task 8.\nHost 0 is interested in task 5.\nHost 6 is interested in task 5.\nHost 7 is interested in task 7.\nHost 1 is interested in task 11.\nHost 6 is interested in task 6.\nHost 14 is interested in task 11.\nHost 4 is interested in task 10.\nHost 6 is interested in task 4.\nHost 3 is interested in task 3.\nHost 7 is interested in task 1.\nHost 10 is interested in task 0.\nHost 2 is interested in task 3.\nHost 9 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph102", "image": "data/matching/graph_visual/hard/graph102.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 7 is interested in task 1.\nHost 6 is interested in task 5.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 7 is interested in task 5.\nHost 0 is interested in task 1.\nHost 8 is interested in task 2.\nHost 6 is interested in task 3.\nHost 6 is interested in task 1.\nHost 7 is interested in task 9.\nHost 6 is interested in task 8.\nHost 5 is interested in task 4.\nHost 0 is interested in task 9.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 1 is interested in task 7.\nHost 9 is interested in task 9.\nHost 4 is interested in task 5.\nHost 3 is interested in task 4.\nHost 9 is interested in task 1.\nHost 8 is interested in task 8.\nHost 3 is interested in task 2.\nHost 0 is interested in task 0.\nHost 7 is interested in task 0.\nHost 6 is interested in task 2.\nHost 1 is interested in task 1.\nHost 8 is interested in task 1.\nHost 8 is interested in task 9.\nHost 8 is interested in task 4.\nHost 7 is interested in task 3.\nHost 2 is interested in task 8.\nHost 1 is interested in task 0.\nHost 3 is interested in task 6.\nHost 2 is interested in task 6.\nHost 6 is interested in task 6.\nHost 8 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph856", "image": "data/matching/graph_visual/hard/graph856.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 8.\nHost 8 is interested in task 1.\nHost 4 is interested in task 10.\nHost 1 is interested in task 0.\nHost 1 is interested in task 2.\nHost 11 is interested in task 2.\nHost 0 is interested in task 3.\nHost 2 is interested in task 10.\nHost 12 is interested in task 2.\nHost 7 is interested in task 7.\nHost 4 is interested in task 4.\nHost 0 is interested in task 4.\nHost 1 is interested in task 4.\nHost 8 is interested in task 9.\nHost 9 is interested in task 9.\nHost 12 is interested in task 9.\nHost 4 is interested in task 9.\nHost 12 is interested in task 5.\nHost 13 is interested in task 3.\nHost 6 is interested in task 6.\nHost 6 is interested in task 10.\nHost 12 is interested in task 10.\nHost 0 is interested in task 2.\nHost 1 is interested in task 3.\nHost 12 is interested in task 4.\nHost 3 is interested in task 10.\nHost 3 is interested in task 9.\nHost 2 is interested in task 4.\nHost 2 is interested in task 9.\nHost 12 is interested in task 7.\nHost 9 is interested in task 10.\nHost 11 is interested in task 10.\nHost 11 is interested in task 5.\nHost 13 is interested in task 7.\nHost 11 is interested in task 0.\nHost 12 is interested in task 6.\nHost 1 is interested in task 7.\nHost 0 is interested in task 5.\nHost 6 is interested in task 2.\nHost 4 is interested in task 0.\nHost 9 is interested in task 2.\nHost 8 is interested in task 2.\nHost 7 is interested in task 10.\nHost 10 is interested in task 9.\nHost 9 is interested in task 6.\nHost 12 is interested in task 8.\nHost 9 is interested in task 4.\nHost 8 is interested in task 3.\nHost 10 is interested in task 10.\nHost 8 is interested in task 6.\nHost 1 is interested in task 6.\nHost 4 is interested in task 3.\nHost 11 is interested in task 1.\nHost 3 is interested in task 3.\nHost 13 is interested in task 0.\nHost 10 is interested in task 7.\nHost 8 is interested in task 0.\nHost 7 is interested in task 2.\nHost 13 is interested in task 10.\nHost 10 is interested in task 6.\nHost 7 is interested in task 3.\nHost 13 is interested in task 6.\nHost 9 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph746", "image": "data/matching/graph_visual/hard/graph746.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 2.\nHost 2 is interested in task 6.\nHost 4 is interested in task 8.\nHost 0 is interested in task 2.\nHost 7 is interested in task 10.\nHost 10 is interested in task 7.\nHost 4 is interested in task 6.\nHost 9 is interested in task 4.\nHost 8 is interested in task 7.\nHost 1 is interested in task 8.\nHost 6 is interested in task 12.\nHost 3 is interested in task 7.\nHost 6 is interested in task 10.\nHost 5 is interested in task 10.\nHost 2 is interested in task 8.\nHost 7 is interested in task 9.\nHost 1 is interested in task 0.\nHost 1 is interested in task 4.\nHost 2 is interested in task 0.\nHost 5 is interested in task 5.\nHost 2 is interested in task 11.\nHost 10 is interested in task 12.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 2 is interested in task 4.\nHost 11 is interested in task 1.\nHost 11 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 12.\nHost 9 is interested in task 10.\nHost 8 is interested in task 0.\nHost 11 is interested in task 6.\nHost 4 is interested in task 0.\nHost 2 is interested in task 9.\nHost 0 is interested in task 4.\nHost 9 is interested in task 2.\nHost 7 is interested in task 4.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 1 is interested in task 5.\nHost 12 is interested in task 8.\nHost 8 is interested in task 9.\nHost 10 is interested in task 1.\nHost 2 is interested in task 10.\nHost 3 is interested in task 11.\nHost 1 is interested in task 12.\nHost 8 is interested in task 1.\nHost 1 is interested in task 9.\nHost 0 is interested in task 3.\nHost 3 is interested in task 8.\nHost 6 is interested in task 2.\nHost 1 is interested in task 10.\nHost 4 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 12.\nHost 6 is interested in task 8.\nHost 2 is interested in task 3.\nHost 1 is interested in task 2.\nHost 10 is interested in task 4.\nHost 11 is interested in task 4.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 5 is interested in task 12.\nHost 6 is interested in task 7.\nHost 7 is interested in task 8.\nHost 8 is interested in task 5.\nHost 8 is interested in task 11.\nHost 4 is interested in task 11.\nHost 8 is interested in task 6.\nHost 9 is interested in task 9.\nHost 5 is interested in task 8.\nHost 8 is interested in task 4.\nHost 11 is interested in task 11.\nHost 2 is interested in task 5.\nHost 6 is interested in task 3.\nHost 5 is interested in task 9.\nHost 11 is interested in task 3.\nHost 6 is interested in task 4.\nHost 4 is interested in task 9.\nHost 9 is interested in task 8.\nHost 12 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph991", "image": "data/matching/graph_visual/hard/graph991.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 14.\nHost 11 is interested in task 9.\nHost 3 is interested in task 11.\nHost 3 is interested in task 0.\nHost 0 is interested in task 10.\nHost 12 is interested in task 15.\nHost 1 is interested in task 3.\nHost 2 is interested in task 15.\nHost 7 is interested in task 15.\nHost 13 is interested in task 14.\nHost 7 is interested in task 9.\nHost 5 is interested in task 7.\nHost 7 is interested in task 10.\nHost 6 is interested in task 14.\nHost 5 is interested in task 15.\nHost 4 is interested in task 2.\nHost 9 is interested in task 0.\nHost 6 is interested in task 7.\nHost 12 is interested in task 13.\nHost 1 is interested in task 5.\nHost 6 is interested in task 10.\nHost 12 is interested in task 0.\nHost 6 is interested in task 5.\nHost 11 is interested in task 1.\nHost 6 is interested in task 13.\nHost 8 is interested in task 15.\nHost 3 is interested in task 4.\nHost 1 is interested in task 13.\nHost 9 is interested in task 4.\nHost 9 is interested in task 3.\nHost 10 is interested in task 3.\nHost 6 is interested in task 1.\nHost 4 is interested in task 11.\nHost 6 is interested in task 8.\nHost 5 is interested in task 0.\nHost 12 is interested in task 11.\nHost 1 is interested in task 4.\nHost 13 is interested in task 5.\nHost 7 is interested in task 14.\nHost 8 is interested in task 0.\nHost 10 is interested in task 9.\nHost 10 is interested in task 10.\nHost 3 is interested in task 12.\nHost 6 is interested in task 15.\nHost 13 is interested in task 9.\nHost 8 is interested in task 11.\nHost 12 is interested in task 7.\nHost 10 is interested in task 8.\nHost 8 is interested in task 13.\nHost 4 is interested in task 7.\nHost 9 is interested in task 14.\nHost 11 is interested in task 2.\nHost 7 is interested in task 0.\nHost 9 is interested in task 2.\nHost 5 is interested in task 13.\nHost 1 is interested in task 6.\nHost 5 is interested in task 2.\nHost 11 is interested in task 13.\nHost 8 is interested in task 4.\nHost 8 is interested in task 14.\nHost 5 is interested in task 1.\nHost 7 is interested in task 6.\nHost 8 is interested in task 1.\nHost 4 is interested in task 10.\nHost 9 is interested in task 5.\nHost 10 is interested in task 1.\nHost 10 is interested in task 6.\nHost 4 is interested in task 9.\nHost 0 is interested in task 4.\nHost 6 is interested in task 3.\nHost 4 is interested in task 6.\nHost 12 is interested in task 1.\nHost 12 is interested in task 6.\nHost 13 is interested in task 3.\nHost 4 is interested in task 15.\nHost 13 is interested in task 0.\nHost 2 is interested in task 10.\nHost 11 is interested in task 8.\nHost 7 is interested in task 4.\nHost 0 is interested in task 7.\nHost 3 is interested in task 15.\nHost 7 is interested in task 7.\nHost 13 is interested in task 1.\nHost 10 is interested in task 4.\nHost 4 is interested in task 8.\nHost 10 is interested in task 11.\nHost 10 is interested in task 14.\nHost 11 is interested in task 15.\nHost 9 is interested in task 15.\nHost 10 is interested in task 12.\nHost 11 is interested in task 7.\nHost 5 is interested in task 6.\nHost 4 is interested in task 0.\nHost 8 is interested in task 3.\nHost 11 is interested in task 3.\nHost 4 is interested in task 4.\nHost 0 is interested in task 9.\nHost 3 is interested in task 13.\nHost 12 is interested in task 8.\nHost 3 is interested in task 5.\nHost 12 is interested in task 2.\nHost 8 is interested in task 2.\nHost 9 is interested in task 10.\nHost 8 is interested in task 8.\nHost 12 is interested in task 3.\nHost 8 is interested in task 5.\nHost 0 is interested in task 8.\nHost 11 is interested in task 10.\nHost 13 is interested in task 13.\nHost 4 is interested in task 1.\nHost 5 is interested in task 4.\nHost 0 is interested in task 0.\nHost 13 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph678", "image": "data/matching/graph_visual/hard/graph678.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 5.\nHost 10 is interested in task 7.\nHost 1 is interested in task 5.\nHost 11 is interested in task 2.\nHost 10 is interested in task 2.\nHost 8 is interested in task 7.\nHost 10 is interested in task 10.\nHost 9 is interested in task 3.\nHost 2 is interested in task 10.\nHost 4 is interested in task 9.\nHost 6 is interested in task 0.\nHost 10 is interested in task 9.\nHost 7 is interested in task 5.\nHost 11 is interested in task 1.\nHost 5 is interested in task 7.\nHost 2 is interested in task 5.\nHost 11 is interested in task 5.\nHost 8 is interested in task 6.\nHost 12 is interested in task 9.\nHost 10 is interested in task 3.\nHost 12 is interested in task 6.\nHost 4 is interested in task 10.\nHost 8 is interested in task 2.\nHost 4 is interested in task 1.\nHost 12 is interested in task 2.\nHost 11 is interested in task 3.\nHost 6 is interested in task 10.\nHost 3 is interested in task 10.\nHost 3 is interested in task 8.\nHost 11 is interested in task 7.\nHost 0 is interested in task 9.\nHost 2 is interested in task 4.\nHost 10 is interested in task 4.\nHost 5 is interested in task 10.\nHost 7 is interested in task 0.\nHost 5 is interested in task 8.\nHost 10 is interested in task 5.\nHost 9 is interested in task 8.\nHost 12 is interested in task 4.\nHost 8 is interested in task 0.\nHost 4 is interested in task 2.\nHost 2 is interested in task 9.\nHost 5 is interested in task 3.\nHost 9 is interested in task 1.\nHost 5 is interested in task 9.\nHost 10 is interested in task 0.\nHost 12 is interested in task 5.\nHost 9 is interested in task 10.\nHost 3 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 3.\nHost 3 is interested in task 1.\nHost 9 is interested in task 0.\nHost 6 is interested in task 5.\nHost 12 is interested in task 8.\nHost 12 is interested in task 3.\nHost 2 is interested in task 2.\nHost 0 is interested in task 4.\nHost 8 is interested in task 1.\nHost 7 is interested in task 7.\nHost 1 is interested in task 9.\nHost 8 is interested in task 8.\nHost 0 is interested in task 7.\nHost 2 is interested in task 6.\nHost 7 is interested in task 1.\nHost 6 is interested in task 8.\nHost 1 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph694", "image": "data/matching/graph_visual/hard/graph694.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 7.\nHost 12 is interested in task 3.\nHost 12 is interested in task 8.\nHost 9 is interested in task 0.\nHost 11 is interested in task 5.\nHost 8 is interested in task 8.\nHost 6 is interested in task 5.\nHost 12 is interested in task 7.\nHost 11 is interested in task 11.\nHost 7 is interested in task 1.\nHost 11 is interested in task 9.\nHost 8 is interested in task 7.\nHost 0 is interested in task 2.\nHost 2 is interested in task 9.\nHost 1 is interested in task 0.\nHost 8 is interested in task 2.\nHost 1 is interested in task 2.\nHost 5 is interested in task 6.\nHost 11 is interested in task 6.\nHost 0 is interested in task 3.\nHost 1 is interested in task 8.\nHost 1 is interested in task 11.\nHost 2 is interested in task 10.\nHost 12 is interested in task 2.\nHost 7 is interested in task 10.\nHost 10 is interested in task 6.\nHost 4 is interested in task 11.\nHost 0 is interested in task 9.\nHost 9 is interested in task 1.\nHost 6 is interested in task 2.\nHost 1 is interested in task 10.\nHost 11 is interested in task 3.\nHost 1 is interested in task 5.\nHost 2 is interested in task 8.\nHost 5 is interested in task 3.\nHost 2 is interested in task 0.\nHost 9 is interested in task 2.\nHost 10 is interested in task 7.\nHost 9 is interested in task 11.\nHost 7 is interested in task 11.\nHost 7 is interested in task 0.\nHost 2 is interested in task 2.\nHost 4 is interested in task 10.\nHost 1 is interested in task 3.\nHost 8 is interested in task 11.\nHost 9 is interested in task 7.\nHost 4 is interested in task 7.\nHost 1 is interested in task 6.\nHost 8 is interested in task 4.\nHost 4 is interested in task 8.\nHost 11 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 3.\nHost 10 is interested in task 3.\nHost 10 is interested in task 8.\nHost 0 is interested in task 7.\nHost 12 is interested in task 1.\nHost 12 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph98", "image": "data/matching/graph_visual/hard/graph98.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 2.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 1 is interested in task 6.\nHost 2 is interested in task 5.\nHost 7 is interested in task 5.\nHost 7 is interested in task 3.\nHost 9 is interested in task 2.\nHost 1 is interested in task 2.\nHost 5 is interested in task 7.\nHost 4 is interested in task 0.\nHost 7 is interested in task 6.\nHost 9 is interested in task 5.\nHost 3 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 8.\nHost 7 is interested in task 4.\nHost 6 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 9.\nHost 9 is interested in task 9.\nHost 5 is interested in task 8.\nHost 3 is interested in task 2.\nHost 6 is interested in task 1.\nHost 8 is interested in task 6.\nHost 3 is interested in task 0.\nHost 3 is interested in task 8.\nHost 1 is interested in task 0.\nHost 0 is interested in task 5.\nHost 1 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph866", "image": "data/matching/graph_visual/hard/graph866.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 9.\nHost 8 is interested in task 9.\nHost 11 is interested in task 10.\nHost 2 is interested in task 4.\nHost 2 is interested in task 3.\nHost 3 is interested in task 8.\nHost 5 is interested in task 1.\nHost 2 is interested in task 7.\nHost 0 is interested in task 3.\nHost 0 is interested in task 9.\nHost 9 is interested in task 4.\nHost 1 is interested in task 9.\nHost 13 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 0.\nHost 5 is interested in task 10.\nHost 7 is interested in task 3.\nHost 0 is interested in task 2.\nHost 4 is interested in task 6.\nHost 5 is interested in task 9.\nHost 6 is interested in task 2.\nHost 5 is interested in task 8.\nHost 0 is interested in task 0.\nHost 2 is interested in task 9.\nHost 8 is interested in task 3.\nHost 13 is interested in task 6.\nHost 3 is interested in task 1.\nHost 5 is interested in task 5.\nHost 9 is interested in task 8.\nHost 13 is interested in task 7.\nHost 10 is interested in task 5.\nHost 11 is interested in task 4.\nHost 4 is interested in task 4.\nHost 4 is interested in task 8.\nHost 1 is interested in task 7.\nHost 10 is interested in task 7.\nHost 11 is interested in task 6.\nHost 13 is interested in task 3.\nHost 1 is interested in task 4.\nHost 7 is interested in task 2.\nHost 1 is interested in task 3.\nHost 0 is interested in task 1.\nHost 10 is interested in task 0.\nHost 9 is interested in task 6.\nHost 3 is interested in task 5.\nHost 9 is interested in task 7.\nHost 7 is interested in task 7.\nHost 7 is interested in task 6.\nHost 4 is interested in task 7.\nHost 8 is interested in task 8.\nHost 12 is interested in task 6.\nHost 6 is interested in task 9.\nHost 6 is interested in task 7.\nHost 1 is interested in task 2.\nHost 11 is interested in task 5.\nHost 0 is interested in task 7.\nHost 12 is interested in task 9.\nHost 1 is interested in task 10.\nHost 9 is interested in task 0.\nHost 3 is interested in task 10.\nHost 7 is interested in task 5.\nHost 8 is interested in task 10.\nHost 2 is interested in task 6.\nHost 7 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 9 is interested in task 3.\nHost 2 is interested in task 1.\nHost 8 is interested in task 5.\nHost 7 is interested in task 4.\nHost 11 is interested in task 0.\nHost 8 is interested in task 1.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph384", "image": "data/matching/graph_visual/hard/graph384.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 8 is interested in task 9.\nHost 2 is interested in task 4.\nHost 5 is interested in task 11.\nHost 7 is interested in task 12.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 3 is interested in task 11.\nHost 7 is interested in task 2.\nHost 5 is interested in task 12.\nHost 1 is interested in task 0.\nHost 2 is interested in task 11.\nHost 6 is interested in task 2.\nHost 5 is interested in task 9.\nHost 9 is interested in task 8.\nHost 4 is interested in task 6.\nHost 3 is interested in task 0.\nHost 6 is interested in task 11.\nHost 6 is interested in task 3.\nHost 7 is interested in task 7.\nHost 7 is interested in task 9.\nHost 10 is interested in task 11.\nHost 1 is interested in task 3.\nHost 6 is interested in task 5.\nHost 9 is interested in task 0.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 4 is interested in task 10.\nHost 3 is interested in task 6.\nHost 8 is interested in task 6.\nHost 4 is interested in task 11.\nHost 9 is interested in task 1.\nHost 4 is interested in task 9.\nHost 10 is interested in task 1.\nHost 9 is interested in task 7.\nHost 0 is interested in task 9.\nHost 6 is interested in task 10.\nHost 5 is interested in task 7.\nHost 8 is interested in task 1.\nHost 0 is interested in task 4.\nHost 4 is interested in task 1.\nHost 4 is interested in task 12.\nHost 1 is interested in task 1.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 8 is interested in task 7.\nHost 1 is interested in task 12.\nHost 1 is interested in task 4.\nHost 8 is interested in task 8.\nHost 0 is interested in task 10.\nHost 6 is interested in task 12.\nHost 3 is interested in task 12.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 5 is interested in task 6.\nHost 9 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 8.\nHost 4 is interested in task 7.\nHost 1 is interested in task 5.\nHost 7 is interested in task 6.\nHost 8 is interested in task 0.\nHost 5 is interested in task 5.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 4 is interested in task 3.\nHost 6 is interested in task 0.\nHost 0 is interested in task 2.\nHost 8 is interested in task 11.\nHost 8 is interested in task 5.\nHost 1 is interested in task 10.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph363", "image": "data/matching/graph_visual/hard/graph363.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 1.\nHost 6 is interested in task 6.\nHost 8 is interested in task 7.\nHost 5 is interested in task 11.\nHost 10 is interested in task 2.\nHost 1 is interested in task 0.\nHost 7 is interested in task 0.\nHost 7 is interested in task 1.\nHost 5 is interested in task 4.\nHost 4 is interested in task 6.\nHost 1 is interested in task 11.\nHost 4 is interested in task 9.\nHost 1 is interested in task 5.\nHost 1 is interested in task 10.\nHost 8 is interested in task 6.\nHost 9 is interested in task 0.\nHost 6 is interested in task 7.\nHost 9 is interested in task 3.\nHost 10 is interested in task 3.\nHost 0 is interested in task 10.\nHost 6 is interested in task 1.\nHost 9 is interested in task 12.\nHost 1 is interested in task 4.\nHost 9 is interested in task 11.\nHost 7 is interested in task 9.\nHost 3 is interested in task 8.\nHost 6 is interested in task 11.\nHost 5 is interested in task 2.\nHost 5 is interested in task 12.\nHost 4 is interested in task 7.\nHost 1 is interested in task 8.\nHost 1 is interested in task 12.\nHost 10 is interested in task 6.\nHost 8 is interested in task 5.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 8 is interested in task 8.\nHost 7 is interested in task 6.\nHost 8 is interested in task 2.\nHost 2 is interested in task 7.\nHost 9 is interested in task 2.\nHost 5 is interested in task 9.\nHost 4 is interested in task 3.\nHost 2 is interested in task 1.\nHost 1 is interested in task 2.\nHost 2 is interested in task 12.\nHost 8 is interested in task 11.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 9 is interested in task 7.\nHost 7 is interested in task 7.\nHost 4 is interested in task 2.\nHost 0 is interested in task 5.\nHost 10 is interested in task 11.\nHost 8 is interested in task 4.\nHost 4 is interested in task 10.\nHost 9 is interested in task 6.\nHost 3 is interested in task 6.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 4 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph132", "image": "data/matching/graph_visual/hard/graph132.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 7.\nHost 0 is interested in task 10.\nHost 1 is interested in task 4.\nHost 6 is interested in task 1.\nHost 6 is interested in task 10.\nHost 6 is interested in task 7.\nHost 3 is interested in task 9.\nHost 9 is interested in task 4.\nHost 3 is interested in task 10.\nHost 1 is interested in task 7.\nHost 6 is interested in task 8.\nHost 4 is interested in task 10.\nHost 7 is interested in task 1.\nHost 1 is interested in task 9.\nHost 7 is interested in task 0.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 0.\nHost 3 is interested in task 2.\nHost 6 is interested in task 4.\nHost 5 is interested in task 6.\nHost 5 is interested in task 8.\nHost 6 is interested in task 9.\nHost 3 is interested in task 5.\nHost 4 is interested in task 2.\nHost 5 is interested in task 3.\nHost 3 is interested in task 6.\nHost 6 is interested in task 0.\nHost 5 is interested in task 10.\nHost 8 is interested in task 6.\nHost 7 is interested in task 6.\nHost 8 is interested in task 10.\nHost 0 is interested in task 2.\nHost 0 is interested in task 1.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 6 is interested in task 6.\nHost 5 is interested in task 4.\nHost 8 is interested in task 0.\nHost 9 is interested in task 8.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 4.\nHost 0 is interested in task 6.\nHost 4 is interested in task 6.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph30", "image": "data/matching/graph_visual/hard/graph30.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 0 is interested in task 0.\nHost 3 is interested in task 0.\nHost 8 is interested in task 3.\nHost 1 is interested in task 7.\nHost 5 is interested in task 6.\nHost 9 is interested in task 7.\nHost 0 is interested in task 2.\nHost 7 is interested in task 4.\nHost 9 is interested in task 0.\nHost 6 is interested in task 6.\nHost 2 is interested in task 0.\nHost 2 is interested in task 5.\nHost 0 is interested in task 1.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 2 is interested in task 6.\nHost 8 is interested in task 5.\nHost 5 is interested in task 0.\nHost 6 is interested in task 7.\nHost 7 is interested in task 5.\nHost 2 is interested in task 3.\nHost 9 is interested in task 1.\nHost 8 is interested in task 6.\nHost 6 is interested in task 5.\nHost 3 is interested in task 7.\nHost 8 is interested in task 7.\nHost 5 is interested in task 1.\nHost 0 is interested in task 4.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6.\nHost 4 is interested in task 7.\nHost 5 is interested in task 7.\nHost 1 is interested in task 0.\nHost 8 is interested in task 2.\nHost 0 is interested in task 7.\nHost 5 is interested in task 3.\nHost 4 is interested in task 2.\nHost 5 is interested in task 5.\nHost 6 is interested in task 0.\nHost 8 is interested in task 4.\nHost 3 is interested in task 1.\nHost 0 is interested in task 3.\nHost 9 is interested in task 3.\nHost 1 is interested in task 2.\nHost 5 is interested in task 4.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph521", "image": "data/matching/graph_visual/hard/graph521.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 5 is interested in task 6.\nHost 7 is interested in task 8.\nHost 0 is interested in task 5.\nHost 4 is interested in task 10.\nHost 5 is interested in task 9.\nHost 6 is interested in task 4.\nHost 8 is interested in task 4.\nHost 11 is interested in task 11.\nHost 3 is interested in task 5.\nHost 6 is interested in task 1.\nHost 3 is interested in task 10.\nHost 1 is interested in task 10.\nHost 2 is interested in task 4.\nHost 9 is interested in task 0.\nHost 2 is interested in task 0.\nHost 1 is interested in task 5.\nHost 10 is interested in task 4.\nHost 7 is interested in task 1.\nHost 8 is interested in task 1.\nHost 11 is interested in task 0.\nHost 0 is interested in task 3.\nHost 9 is interested in task 2.\nHost 7 is interested in task 9.\nHost 4 is interested in task 4.\nHost 0 is interested in task 0.\nHost 3 is interested in task 2.\nHost 0 is interested in task 9.\nHost 11 is interested in task 5.\nHost 4 is interested in task 0.\nHost 6 is interested in task 10.\nHost 11 is interested in task 9.\nHost 0 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 1.\nHost 1 is interested in task 7.\nHost 7 is interested in task 4.\nHost 0 is interested in task 1.\nHost 8 is interested in task 5.\nHost 1 is interested in task 2.\nHost 2 is interested in task 9.\nHost 1 is interested in task 3.\nHost 7 is interested in task 7.\nHost 0 is interested in task 8.\nHost 0 is interested in task 7.\nHost 4 is interested in task 5.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph355", "image": "data/matching/graph_visual/hard/graph355.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 6.\nHost 10 is interested in task 10.\nHost 1 is interested in task 10.\nHost 10 is interested in task 1.\nHost 9 is interested in task 10.\nHost 7 is interested in task 11.\nHost 9 is interested in task 2.\nHost 10 is interested in task 0.\nHost 1 is interested in task 4.\nHost 3 is interested in task 2.\nHost 2 is interested in task 10.\nHost 1 is interested in task 9.\nHost 5 is interested in task 2.\nHost 0 is interested in task 9.\nHost 3 is interested in task 8.\nHost 3 is interested in task 5.\nHost 9 is interested in task 8.\nHost 0 is interested in task 0.\nHost 5 is interested in task 9.\nHost 2 is interested in task 0.\nHost 0 is interested in task 4.\nHost 9 is interested in task 3.\nHost 4 is interested in task 4.\nHost 4 is interested in task 7.\nHost 8 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 6.\nHost 0 is interested in task 5.\nHost 8 is interested in task 0.\nHost 1 is interested in task 3.\nHost 6 is interested in task 2.\nHost 8 is interested in task 10.\nHost 5 is interested in task 7.\nHost 1 is interested in task 6.\nHost 4 is interested in task 11.\nHost 8 is interested in task 2.\nHost 0 is interested in task 8.\nHost 5 is interested in task 10.\nHost 2 is interested in task 9.\nHost 5 is interested in task 6.\nHost 1 is interested in task 7.\nHost 7 is interested in task 7.\nHost 8 is interested in task 11.\nHost 7 is interested in task 3.\nHost 2 is interested in task 4.\nHost 1 is interested in task 0.\nHost 10 is interested in task 3.\nHost 8 is interested in task 9.\nHost 1 is interested in task 5.\nHost 10 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph514", "image": "data/matching/graph_visual/hard/graph514.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 5.\nHost 3 is interested in task 11.\nHost 6 is interested in task 8.\nHost 8 is interested in task 11.\nHost 7 is interested in task 7.\nHost 2 is interested in task 9.\nHost 5 is interested in task 0.\nHost 1 is interested in task 7.\nHost 8 is interested in task 0.\nHost 4 is interested in task 0.\nHost 7 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 10.\nHost 6 is interested in task 3.\nHost 1 is interested in task 9.\nHost 10 is interested in task 0.\nHost 7 is interested in task 6.\nHost 11 is interested in task 4.\nHost 7 is interested in task 5.\nHost 9 is interested in task 1.\nHost 0 is interested in task 1.\nHost 10 is interested in task 5.\nHost 5 is interested in task 11.\nHost 10 is interested in task 2.\nHost 1 is interested in task 11.\nHost 9 is interested in task 2.\nHost 3 is interested in task 3.\nHost 8 is interested in task 8.\nHost 2 is interested in task 0.\nHost 11 is interested in task 1.\nHost 2 is interested in task 8.\nHost 2 is interested in task 4.\nHost 1 is interested in task 5.\nHost 9 is interested in task 6.\nHost 8 is interested in task 4.\nHost 6 is interested in task 7.\nHost 4 is interested in task 1.\nHost 4 is interested in task 7.\nHost 2 is interested in task 1.\nHost 11 is interested in task 11.\nHost 3 is interested in task 0.\nHost 9 is interested in task 5.\nHost 4 is interested in task 8.\nHost 8 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 9.\nHost 2 is interested in task 6.\nHost 11 is interested in task 0.\nHost 7 is interested in task 2.\nHost 0 is interested in task 9.\nHost 1 is interested in task 6.\nHost 4 is interested in task 4.\nHost 10 is interested in task 10.\nHost 4 is interested in task 6.\nHost 0 is interested in task 4.\nHost 11 is interested in task 7.\nHost 9 is interested in task 11.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph137", "image": "data/matching/graph_visual/hard/graph137.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 4.\nHost 8 is interested in task 8.\nHost 7 is interested in task 7.\nHost 1 is interested in task 2.\nHost 4 is interested in task 3.\nHost 2 is interested in task 4.\nHost 6 is interested in task 9.\nHost 3 is interested in task 5.\nHost 3 is interested in task 1.\nHost 6 is interested in task 7.\nHost 0 is interested in task 10.\nHost 8 is interested in task 1.\nHost 7 is interested in task 4.\nHost 9 is interested in task 2.\nHost 7 is interested in task 3.\nHost 6 is interested in task 2.\nHost 9 is interested in task 7.\nHost 8 is interested in task 5.\nHost 0 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 4 is interested in task 6.\nHost 2 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 0.\nHost 7 is interested in task 10.\nHost 4 is interested in task 1.\nHost 6 is interested in task 4.\nHost 0 is interested in task 9.\nHost 8 is interested in task 9.\nHost 7 is interested in task 6.\nHost 6 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 10.\nHost 1 is interested in task 10.\nHost 2 is interested in task 7.\nHost 1 is interested in task 5.\nHost 6 is interested in task 3.\nHost 1 is interested in task 1.\nHost 7 is interested in task 8.\nHost 6 is interested in task 8.\nHost 4 is interested in task 8.\nHost 2 is interested in task 2.\nHost 4 is interested in task 10.\nHost 3 is interested in task 9.\nHost 8 is interested in task 0.\nHost 9 is interested in task 1.\nHost 7 is interested in task 1.\nHost 7 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1103", "image": "data/matching/graph_visual/hard/graph1103.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 5 is interested in task 3.\nHost 8 is interested in task 4.\nHost 12 is interested in task 9.\nHost 2 is interested in task 8.\nHost 9 is interested in task 3.\nHost 1 is interested in task 1.\nHost 9 is interested in task 9.\nHost 1 is interested in task 7.\nHost 1 is interested in task 8.\nHost 7 is interested in task 1.\nHost 0 is interested in task 12.\nHost 7 is interested in task 10.\nHost 13 is interested in task 11.\nHost 9 is interested in task 6.\nHost 4 is interested in task 11.\nHost 9 is interested in task 1.\nHost 6 is interested in task 3.\nHost 6 is interested in task 0.\nHost 13 is interested in task 3.\nHost 11 is interested in task 9.\nHost 5 is interested in task 11.\nHost 10 is interested in task 8.\nHost 8 is interested in task 7.\nHost 6 is interested in task 7.\nHost 14 is interested in task 5.\nHost 1 is interested in task 2.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 14 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 4.\nHost 12 is interested in task 3.\nHost 7 is interested in task 0.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 12 is interested in task 8.\nHost 12 is interested in task 12.\nHost 6 is interested in task 8.\nHost 13 is interested in task 1.\nHost 3 is interested in task 2.\nHost 1 is interested in task 5.\nHost 5 is interested in task 8.\nHost 4 is interested in task 1.\nHost 12 is interested in task 7.\nHost 10 is interested in task 12.\nHost 11 is interested in task 0.\nHost 5 is interested in task 6.\nHost 3 is interested in task 6.\nHost 1 is interested in task 10.\nHost 2 is interested in task 12.\nHost 4 is interested in task 4.\nHost 11 is interested in task 8.\nHost 10 is interested in task 2.\nHost 9 is interested in task 2.\nHost 13 is interested in task 6.\nHost 3 is interested in task 3.\nHost 5 is interested in task 4.\nHost 3 is interested in task 9.\nHost 3 is interested in task 10.\nHost 10 is interested in task 6.\nHost 12 is interested in task 2.\nHost 3 is interested in task 7.\nHost 13 is interested in task 7.\nHost 13 is interested in task 2.\nHost 0 is interested in task 4.\nHost 10 is interested in task 10.\nHost 4 is interested in task 9.\nHost 5 is interested in task 2.\nHost 4 is interested in task 2.\nHost 12 is interested in task 6.\nHost 13 is interested in task 10.\nHost 7 is interested in task 7.\nHost 2 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph827", "image": "data/matching/graph_visual/hard/graph827.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 10.\nHost 3 is interested in task 7.\nHost 2 is interested in task 1.\nHost 4 is interested in task 6.\nHost 5 is interested in task 15.\nHost 6 is interested in task 6.\nHost 0 is interested in task 14.\nHost 12 is interested in task 6.\nHost 11 is interested in task 13.\nHost 8 is interested in task 1.\nHost 6 is interested in task 3.\nHost 3 is interested in task 9.\nHost 3 is interested in task 1.\nHost 4 is interested in task 3.\nHost 10 is interested in task 4.\nHost 11 is interested in task 15.\nHost 6 is interested in task 15.\nHost 11 is interested in task 12.\nHost 2 is interested in task 8.\nHost 1 is interested in task 14.\nHost 3 is interested in task 5.\nHost 11 is interested in task 9.\nHost 8 is interested in task 5.\nHost 2 is interested in task 14.\nHost 3 is interested in task 14.\nHost 3 is interested in task 6.\nHost 10 is interested in task 9.\nHost 3 is interested in task 0.\nHost 3 is interested in task 15.\nHost 7 is interested in task 9.\nHost 8 is interested in task 0.\nHost 9 is interested in task 0.\nHost 2 is interested in task 4.\nHost 9 is interested in task 8.\nHost 2 is interested in task 0.\nHost 0 is interested in task 15.\nHost 12 is interested in task 2.\nHost 8 is interested in task 3.\nHost 8 is interested in task 11.\nHost 1 is interested in task 1.\nHost 0 is interested in task 3.\nHost 5 is interested in task 2.\nHost 8 is interested in task 14.\nHost 4 is interested in task 4.\nHost 3 is interested in task 3.\nHost 6 is interested in task 7.\nHost 3 is interested in task 2.\nHost 2 is interested in task 5.\nHost 7 is interested in task 10.\nHost 3 is interested in task 13.\nHost 9 is interested in task 3.\nHost 4 is interested in task 7.\nHost 4 is interested in task 5.\nHost 7 is interested in task 0.\nHost 2 is interested in task 11.\nHost 0 is interested in task 8.\nHost 10 is interested in task 15.\nHost 2 is interested in task 10.\nHost 7 is interested in task 11.\nHost 1 is interested in task 13.\nHost 12 is interested in task 10.\nHost 8 is interested in task 12.\nHost 5 is interested in task 3.\nHost 12 is interested in task 3.\nHost 7 is interested in task 7.\nHost 9 is interested in task 5.\nHost 11 is interested in task 4.\nHost 7 is interested in task 15.\nHost 4 is interested in task 14.\nHost 12 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph908", "image": "data/matching/graph_visual/hard/graph908.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 3.\nHost 2 is interested in task 9.\nHost 13 is interested in task 10.\nHost 0 is interested in task 7.\nHost 8 is interested in task 0.\nHost 12 is interested in task 5.\nHost 3 is interested in task 3.\nHost 9 is interested in task 1.\nHost 9 is interested in task 8.\nHost 2 is interested in task 6.\nHost 2 is interested in task 1.\nHost 2 is interested in task 4.\nHost 4 is interested in task 11.\nHost 13 is interested in task 2.\nHost 3 is interested in task 9.\nHost 6 is interested in task 12.\nHost 13 is interested in task 8.\nHost 13 is interested in task 6.\nHost 7 is interested in task 3.\nHost 3 is interested in task 11.\nHost 11 is interested in task 8.\nHost 13 is interested in task 0.\nHost 6 is interested in task 11.\nHost 13 is interested in task 11.\nHost 1 is interested in task 5.\nHost 9 is interested in task 10.\nHost 2 is interested in task 0.\nHost 7 is interested in task 9.\nHost 1 is interested in task 2.\nHost 5 is interested in task 5.\nHost 13 is interested in task 3.\nHost 4 is interested in task 3.\nHost 4 is interested in task 6.\nHost 9 is interested in task 4.\nHost 5 is interested in task 2.\nHost 10 is interested in task 8.\nHost 6 is interested in task 4.\nHost 0 is interested in task 12.\nHost 1 is interested in task 9.\nHost 11 is interested in task 2.\nHost 8 is interested in task 12.\nHost 7 is interested in task 5.\nHost 0 is interested in task 0.\nHost 10 is interested in task 5.\nHost 13 is interested in task 1.\nHost 8 is interested in task 11.\nHost 12 is interested in task 12.\nHost 3 is interested in task 7.\nHost 12 is interested in task 6.\nHost 6 is interested in task 2.\nHost 6 is interested in task 3.\nHost 1 is interested in task 8.\nHost 10 is interested in task 1.\nHost 7 is interested in task 4.\nHost 0 is interested in task 11.\nHost 6 is interested in task 10.\nHost 3 is interested in task 10.\nHost 9 is interested in task 7.\nHost 13 is interested in task 7.\nHost 11 is interested in task 4.\nHost 5 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 4.\nHost 7 is interested in task 11.\nHost 7 is interested in task 1.\nHost 6 is interested in task 7.\nHost 8 is interested in task 6.\nHost 0 is interested in task 5.\nHost 8 is interested in task 2.\nHost 9 is interested in task 2.\nHost 10 is interested in task 0.\nHost 3 is interested in task 2.\nHost 9 is interested in task 6.\nHost 2 is interested in task 5.\nHost 5 is interested in task 10.\nHost 4 is interested in task 1.\nHost 3 is interested in task 5.\nHost 13 is interested in task 4.\nHost 5 is interested in task 11.\nHost 11 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph76", "image": "data/matching/graph_visual/hard/graph76.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 8 is interested in task 7.\nHost 4 is interested in task 3.\nHost 2 is interested in task 1.\nHost 4 is interested in task 0.\nHost 1 is interested in task 8.\nHost 6 is interested in task 8.\nHost 7 is interested in task 7.\nHost 7 is interested in task 2.\nHost 2 is interested in task 7.\nHost 2 is interested in task 6.\nHost 7 is interested in task 4.\nHost 3 is interested in task 6.\nHost 7 is interested in task 3.\nHost 4 is interested in task 2.\nHost 6 is interested in task 1.\nHost 3 is interested in task 7.\nHost 0 is interested in task 0.\nHost 9 is interested in task 5.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 7 is interested in task 8.\nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 2 is interested in task 3.\nHost 6 is interested in task 2.\nHost 3 is interested in task 8.\nHost 1 is interested in task 2.\nHost 4 is interested in task 6.\nHost 8 is interested in task 2.\nHost 6 is interested in task 7.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 2 is interested in task 0.\nHost 2 is interested in task 4.\nHost 6 is interested in task 4.\nHost 2 is interested in task 5.\nHost 0 is interested in task 2.\nHost 8 is interested in task 0.\nHost 9 is interested in task 1.\nHost 0 is interested in task 4.\nHost 0 is interested in task 1.\nHost 2 is interested in task 2.\nHost 8 is interested in task 3.\nHost 9 is interested in task 2.\nHost 3 is interested in task 2.\nHost 1 is interested in task 0.\nHost 2 is interested in task 8.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph1170", "image": "data/matching/graph_visual/hard/graph1170.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 14 is interested in task 0.\nHost 1 is interested in task 11.\nHost 7 is interested in task 7.\nHost 2 is interested in task 8.\nHost 2 is interested in task 0.\nHost 7 is interested in task 6.\nHost 7 is interested in task 4.\nHost 11 is interested in task 9.\nHost 7 is interested in task 2.\nHost 4 is interested in task 11.\nHost 0 is interested in task 10.\nHost 5 is interested in task 9.\nHost 5 is interested in task 12.\nHost 13 is interested in task 12.\nHost 13 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0.\nHost 9 is interested in task 12.\nHost 2 is interested in task 11.\nHost 4 is interested in task 15.\nHost 0 is interested in task 8.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 9 is interested in task 5.\nHost 1 is interested in task 0.\nHost 1 is interested in task 6.\nHost 2 is interested in task 10.\nHost 11 is interested in task 3.\nHost 8 is interested in task 9.\nHost 14 is interested in task 15.\nHost 13 is interested in task 6.\nHost 6 is interested in task 15.\nHost 5 is interested in task 14.\nHost 14 is interested in task 10.\nHost 2 is interested in task 6.\nHost 3 is interested in task 6.\nHost 14 is interested in task 7.\nHost 3 is interested in task 14.\nHost 8 is interested in task 10.\nHost 2 is interested in task 1.\nHost 7 is interested in task 3.\nHost 14 is interested in task 12.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 13 is interested in task 5.\nHost 12 is interested in task 15.\nHost 0 is interested in task 13.\nHost 5 is interested in task 0.\nHost 4 is interested in task 7.\nHost 12 is interested in task 13.\nHost 8 is interested in task 15.\nHost 10 is interested in task 3.\nHost 9 is interested in task 2.\nHost 7 is interested in task 9.\nHost 8 is interested in task 3.\nHost 14 is interested in task 3.\nHost 3 is interested in task 2.\nHost 10 is interested in task 13.\nHost 7 is interested in task 5.\nHost 14 is interested in task 2.\nHost 10 is interested in task 2.\nHost 1 is interested in task 3.\nHost 7 is interested in task 0.\nHost 12 is interested in task 1.\nHost 2 is interested in task 4.\nHost 10 is interested in task 0.\nHost 10 is interested in task 7.\nHost 3 is interested in task 3.\nHost 8 is interested in task 2.\nHost 0 is interested in task 9.\nHost 12 is interested in task 0.\nHost 4 is interested in task 10.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0.\nHost 12 is interested in task 5.\nHost 14 is interested in task 8.\nHost 7 is interested in task 1.\nHost 11 is interested in task 11.\nHost 12 is interested in task 2.\nHost 1 is interested in task 13.\nHost 9 is interested in task 11.\nHost 4 is interested in task 5.\nHost 10 is interested in task 6.\nHost 13 is interested in task 15.\nHost 5 is interested in task 10.\nHost 7 is interested in task 8.\nHost 10 is interested in task 15.\nHost 10 is interested in task 9.\nHost 9 is interested in task 15.\nHost 13 is interested in task 4.\nHost 9 is interested in task 0.\nHost 9 is interested in task 8.\nHost 12 is interested in task 9.\nHost 12 is interested in task 14.\nHost 1 is interested in task 14.\nHost 14 is interested in task 14.\nHost 14 is interested in task 5.\nHost 1 is interested in task 9.\nHost 3 is interested in task 8.\nHost 13 is interested in task 7.\nHost 13 is interested in task 9.\nHost 1 is interested in task 8.\nHost 10 is interested in task 8.\nHost 2 is interested in task 15.\nHost 14 is interested in task 13.\nHost 11 is interested in task 12.\nHost 0 is interested in task 15.\nHost 9 is interested in task 14.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 13 is interested in task 8.\nHost 7 is interested in task 11.\nHost 12 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph272", "image": "data/matching/graph_visual/hard/graph272.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 6.\nHost 8 is interested in task 9.\nHost 5 is interested in task 3.\nHost 8 is interested in task 0.\nHost 8 is interested in task 5.\nHost 8 is interested in task 1.\nHost 1 is interested in task 6.\nHost 6 is interested in task 4.\nHost 3 is interested in task 7.\nHost 1 is interested in task 8.\nHost 8 is interested in task 3.\nHost 9 is interested in task 6.\nHost 5 is interested in task 6.\nHost 4 is interested in task 1.\nHost 3 is interested in task 4.\nHost 5 is interested in task 0.\nHost 6 is interested in task 3.\nHost 3 is interested in task 1.\nHost 2 is interested in task 8.\nHost 6 is interested in task 9.\nHost 9 is interested in task 4.\nHost 9 is interested in task 0.\nHost 0 is interested in task 1.\nHost 6 is interested in task 2.\nHost 10 is interested in task 3.\nHost 3 is interested in task 0.\nHost 4 is interested in task 6.\nHost 9 is interested in task 3.\nHost 6 is interested in task 6.\nHost 0 is interested in task 8.\nHost 3 is interested in task 8.\nHost 2 is interested in task 3.\nHost 1 is interested in task 7.\nHost 2 is interested in task 7.\nHost 0 is interested in task 7.\nHost 7 is interested in task 8.\nHost 0 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 3 is interested in task 3.\nHost 2 is interested in task 1.\nHost 5 is interested in task 9.\nHost 6 is interested in task 0.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 9 is interested in task 8.\nHost 1 is interested in task 2.\nHost 5 is interested in task 1.\nHost 4 is interested in task 2.\nHost 8 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph467", "image": "data/matching/graph_visual/hard/graph467.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 4 is interested in task 9.\nHost 4 is interested in task 5.\nHost 5 is interested in task 4.\nHost 5 is interested in task 7.\nHost 2 is interested in task 2.\nHost 6 is interested in task 9.\nHost 6 is interested in task 7.\nHost 11 is interested in task 8.\nHost 4 is interested in task 7.\nHost 3 is interested in task 6.\nHost 9 is interested in task 6.\nHost 3 is interested in task 7.\nHost 6 is interested in task 4.\nHost 9 is interested in task 7.\nHost 11 is interested in task 1.\nHost 4 is interested in task 6.\nHost 3 is interested in task 2.\nHost 0 is interested in task 6.\nHost 4 is interested in task 0.\nHost 1 is interested in task 0.\nHost 9 is interested in task 1.\nHost 6 is interested in task 0.\nHost 0 is interested in task 1.\nHost 8 is interested in task 3.\nHost 4 is interested in task 4.\nHost 6 is interested in task 1.\nHost 10 is interested in task 8.\nHost 9 is interested in task 9.\nHost 7 is interested in task 5.\nHost 5 is interested in task 6.\nHost 3 is interested in task 4.\nHost 10 is interested in task 3.\nHost 3 is interested in task 8.\nHost 2 is interested in task 4.\nHost 8 is interested in task 6.\nHost 0 is interested in task 7.\nHost 3 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 9.\nHost 1 is interested in task 7.\nHost 4 is interested in task 8.\nHost 4 is interested in task 2.\nHost 1 is interested in task 2.\nHost 10 is interested in task 6.\nHost 7 is interested in task 6.\nHost 11 is interested in task 9.\nHost 2 is interested in task 1.\nHost 1 is interested in task 9.\nHost 10 is interested in task 4.\nHost 2 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph499", "image": "data/matching/graph_visual/hard/graph499.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 0.\nHost 4 is interested in task 2.\nHost 0 is interested in task 1.\nHost 7 is interested in task 4.\nHost 7 is interested in task 9.\nHost 6 is interested in task 7.\nHost 3 is interested in task 6.\nHost 11 is interested in task 9.\nHost 1 is interested in task 9.\nHost 8 is interested in task 5.\nHost 6 is interested in task 3.\nHost 5 is interested in task 1.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 7 is interested in task 5.\nHost 8 is interested in task 10.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 3 is interested in task 1.\nHost 2 is interested in task 9.\nHost 4 is interested in task 10.\nHost 0 is interested in task 4.\nHost 9 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 2 is interested in task 6.\nHost 5 is interested in task 4.\nHost 8 is interested in task 2.\nHost 7 is interested in task 7.\nHost 7 is interested in task 1.\nHost 0 is interested in task 9.\nHost 8 is interested in task 0.\nHost 4 is interested in task 3.\nHost 7 is interested in task 3.\nHost 4 is interested in task 5.\nHost 8 is interested in task 9.\nHost 8 is interested in task 4.\nHost 6 is interested in task 9.\nHost 8 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 4.\nHost 10 is interested in task 6.\nHost 9 is interested in task 7.\nHost 1 is interested in task 3.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 10 is interested in task 7.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 10 is interested in task 2.\nHost 6 is interested in task 0.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph186", "image": "data/matching/graph_visual/hard/graph186.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 0.\nHost 4 is interested in task 8.\nHost 8 is interested in task 0.\nHost 8 is interested in task 11.\nHost 4 is interested in task 3.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 2 is interested in task 6.\nHost 1 is interested in task 12.\nHost 7 is interested in task 5.\nHost 1 is interested in task 3.\nHost 6 is interested in task 9.\nHost 5 is interested in task 0.\nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 9 is interested in task 10.\nHost 9 is interested in task 9.\nHost 0 is interested in task 12.\nHost 9 is interested in task 0.\nHost 7 is interested in task 7.\nHost 8 is interested in task 8.\nHost 5 is interested in task 12.\nHost 9 is interested in task 6.\nHost 8 is interested in task 7.\nHost 6 is interested in task 11.\nHost 1 is interested in task 7.\nHost 2 is interested in task 9.\nHost 2 is interested in task 11.\nHost 8 is interested in task 6.\nHost 5 is interested in task 4.\nHost 4 is interested in task 10.\nHost 4 is interested in task 5.\nHost 5 is interested in task 8.\nHost 3 is interested in task 1.\nHost 4 is interested in task 11.\nHost 2 is interested in task 7.\nHost 4 is interested in task 9.\nHost 2 is interested in task 5.\nHost 0 is interested in task 5.\nHost 6 is interested in task 12.\nHost 2 is interested in task 0.\nHost 9 is interested in task 2.\nHost 6 is interested in task 3.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 6 is interested in task 4.\nHost 2 is interested in task 2.\nHost 8 is interested in task 9.\nHost 1 is interested in task 11.\nHost 7 is interested in task 8.\nHost 7 is interested in task 4.\nHost 0 is interested in task 11.\nHost 1 is interested in task 6.\nHost 6 is interested in task 2.\nHost 6 is interested in task 5.\nHost 4 is interested in task 6.\nHost 8 is interested in task 10.\nHost 7 is interested in task 0.\nHost 8 is interested in task 2.\nHost 1 is interested in task 1.\nHost 2 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph211", "image": "data/matching/graph_visual/hard/graph211.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 5.\nHost 1 is interested in task 0.\nHost 2 is interested in task 1.\nHost 4 is interested in task 2.\nHost 5 is interested in task 7.\nHost 1 is interested in task 4.\nHost 3 is interested in task 2.\nHost 8 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 4.\nHost 1 is interested in task 5.\nHost 8 is interested in task 7.\nHost 9 is interested in task 2.\nHost 0 is interested in task 5.\nHost 1 is interested in task 2.\nHost 5 is interested in task 5.\nHost 5 is interested in task 4.\nHost 10 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 7.\nHost 7 is interested in task 3.\nHost 0 is interested in task 7.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 5 is interested in task 1.\nHost 0 is interested in task 4.\nHost 9 is interested in task 7.\nHost 6 is interested in task 3.\nHost 2 is interested in task 3.\nHost 7 is interested in task 5.\nHost 1 is interested in task 3.\nHost 2 is interested in task 5.\nHost 7 is interested in task 2.\nHost 5 is interested in task 0.\nHost 9 is interested in task 5.\nHost 6 is interested in task 5.\nHost 0 is interested in task 3.\nHost 0 is interested in task 0.\nHost 9 is interested in task 1.\nHost 6 is interested in task 2.\nHost 3 is interested in task 6.\nHost 6 is interested in task 1.\nHost 5 is interested in task 2.\nHost 7 is interested in task 6.\nHost 6 is interested in task 7.\nHost 3 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph470", "image": "data/matching/graph_visual/hard/graph470.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 5.\nHost 6 is interested in task 8.\nHost 10 is interested in task 7.\nHost 10 is interested in task 6.\nHost 5 is interested in task 8.\nHost 9 is interested in task 8.\nHost 4 is interested in task 5.\nHost 9 is interested in task 7.\nHost 3 is interested in task 9.\nHost 8 is interested in task 6.\nHost 7 is interested in task 0.\nHost 8 is interested in task 3.\nHost 5 is interested in task 3.\nHost 0 is interested in task 4.\nHost 7 is interested in task 4.\nHost 5 is interested in task 4.\nHost 6 is interested in task 2.\nHost 7 is interested in task 9.\nHost 6 is interested in task 3.\nHost 11 is interested in task 5.\nHost 4 is interested in task 0.\nHost 2 is interested in task 4.\nHost 1 is interested in task 2.\nHost 2 is interested in task 2.\nHost 1 is interested in task 7.\nHost 3 is interested in task 3.\nHost 1 is interested in task 5.\nHost 9 is interested in task 6.\nHost 5 is interested in task 6.\nHost 7 is interested in task 6.\nHost 0 is interested in task 9.\nHost 0 is interested in task 2.\nHost 4 is interested in task 8.\nHost 6 is interested in task 0.\nHost 5 is interested in task 7.\nHost 7 is interested in task 7.\nHost 10 is interested in task 8.\nHost 4 is interested in task 2.\nHost 5 is interested in task 2.\nHost 0 is interested in task 3.\nHost 11 is interested in task 8.\nHost 4 is interested in task 6.\nHost 11 is interested in task 3.\nHost 3 is interested in task 4.\nHost 8 is interested in task 0.\nHost 0 is interested in task 8.\nHost 3 is interested in task 8.\nHost 10 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph815", "image": "data/matching/graph_visual/hard/graph815.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 11.\nHost 0 is interested in task 8.\nHost 11 is interested in task 2.\nHost 2 is interested in task 13.\nHost 3 is interested in task 4.\nHost 3 is interested in task 6.\nHost 2 is interested in task 6.\nHost 11 is interested in task 13.\nHost 1 is interested in task 4.\nHost 4 is interested in task 1.\nHost 1 is interested in task 7.\nHost 11 is interested in task 3.\nHost 12 is interested in task 9.\nHost 10 is interested in task 5.\nHost 11 is interested in task 0.\nHost 4 is interested in task 5.\nHost 6 is interested in task 7.\nHost 12 is interested in task 15.\nHost 12 is interested in task 11.\nHost 10 is interested in task 6.\nHost 8 is interested in task 13.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 12 is interested in task 3.\nHost 1 is interested in task 10.\nHost 10 is interested in task 2.\nHost 6 is interested in task 3.\nHost 3 is interested in task 12.\nHost 0 is interested in task 7.\nHost 2 is interested in task 15.\nHost 12 is interested in task 6.\nHost 3 is interested in task 7.\nHost 0 is interested in task 10.\nHost 7 is interested in task 9.\nHost 11 is interested in task 8.\nHost 2 is interested in task 10.\nHost 1 is interested in task 9.\nHost 1 is interested in task 13.\nHost 5 is interested in task 4.\nHost 7 is interested in task 4.\nHost 10 is interested in task 10.\nHost 12 is interested in task 7.\nHost 3 is interested in task 0.\nHost 1 is interested in task 11.\nHost 5 is interested in task 9.\nHost 7 is interested in task 7.\nHost 6 is interested in task 4.\nHost 6 is interested in task 12.\nHost 1 is interested in task 2.\nHost 0 is interested in task 1.\nHost 8 is interested in task 2.\nHost 3 is interested in task 13.\nHost 3 is interested in task 9.\nHost 7 is interested in task 0.\nHost 5 is interested in task 12.\nHost 11 is interested in task 14.\nHost 6 is interested in task 13.\nHost 2 is interested in task 8.\nHost 11 is interested in task 11.\nHost 1 is interested in task 5.\nHost 12 is interested in task 2.\nHost 1 is interested in task 8.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8.\nHost 12 is interested in task 0.\nHost 9 is interested in task 14.\nHost 5 is interested in task 15.\nHost 2 is interested in task 9.\nHost 4 is interested in task 11.\nHost 11 is interested in task 1.\nHost 7 is interested in task 5.\nHost 1 is interested in task 6.\nHost 5 is interested in task 7.\nHost 10 is interested in task 11.\nHost 3 is interested in task 15.\nHost 7 is interested in task 10.\nHost 5 is interested in task 5.\nHost 3 is interested in task 10.\nHost 2 is interested in task 1.\nHost 5 is interested in task 14.\nHost 6 is interested in task 11.\nHost 9 is interested in task 1.\nHost 11 is interested in task 7.\nHost 11 is interested in task 15.\nHost 10 is interested in task 8.\nHost 9 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph889", "image": "data/matching/graph_visual/hard/graph889.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 1 is interested in task 3.\nHost 1 is interested in task 2.\nHost 9 is interested in task 5.\nHost 1 is interested in task 9.\nHost 3 is interested in task 1.\nHost 0 is interested in task 4.\nHost 8 is interested in task 1.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 9 is interested in task 3.\nHost 5 is interested in task 2.\nHost 4 is interested in task 11.\nHost 1 is interested in task 8.\nHost 1 is interested in task 4.\nHost 5 is interested in task 6.\nHost 6 is interested in task 9.\nHost 11 is interested in task 11.\nHost 8 is interested in task 8.\nHost 8 is interested in task 2.\nHost 9 is interested in task 10.\nHost 10 is interested in task 2.\nHost 8 is interested in task 9.\nHost 1 is interested in task 7.\nHost 9 is interested in task 6.\nHost 7 is interested in task 0.\nHost 5 is interested in task 4.\nHost 5 is interested in task 5.\nHost 6 is interested in task 6.\nHost 10 is interested in task 10.\nHost 5 is interested in task 10.\nHost 12 is interested in task 1.\nHost 0 is interested in task 7.\nHost 13 is interested in task 11.\nHost 11 is interested in task 7.\nHost 7 is interested in task 8.\nHost 1 is interested in task 6.\nHost 4 is interested in task 8.\nHost 2 is interested in task 11.\nHost 13 is interested in task 9.\nHost 0 is interested in task 1.\nHost 9 is interested in task 8.\nHost 3 is interested in task 9.\nHost 5 is interested in task 9.\nHost 12 is interested in task 4.\nHost 7 is interested in task 7.\nHost 11 is interested in task 1.\nHost 7 is interested in task 10.\nHost 1 is interested in task 10.\nHost 11 is interested in task 8.\nHost 5 is interested in task 3.\nHost 4 is interested in task 7.\nHost 6 is interested in task 10.\nHost 6 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1100", "image": "data/matching/graph_visual/hard/graph1100.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 1.\nHost 13 is interested in task 12.\nHost 14 is interested in task 6.\nHost 6 is interested in task 3.\nHost 3 is interested in task 7.\nHost 13 is interested in task 4.\nHost 4 is interested in task 3.\nHost 9 is interested in task 6.\nHost 11 is interested in task 0.\nHost 6 is interested in task 8.\nHost 8 is interested in task 8.\nHost 5 is interested in task 0.\nHost 5 is interested in task 2.\nHost 0 is interested in task 1.\nHost 8 is interested in task 6.\nHost 9 is interested in task 4.\nHost 12 is interested in task 11.\nHost 5 is interested in task 11.\nHost 7 is interested in task 9.\nHost 3 is interested in task 11.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 12 is interested in task 4.\nHost 3 is interested in task 12.\nHost 12 is interested in task 10.\nHost 10 is interested in task 5.\nHost 7 is interested in task 4.\nHost 3 is interested in task 3.\nHost 2 is interested in task 12.\nHost 0 is interested in task 11.\nHost 14 is interested in task 0.\nHost 14 is interested in task 11.\nHost 10 is interested in task 10.\nHost 8 is interested in task 0.\nHost 5 is interested in task 12.\nHost 10 is interested in task 2.\nHost 9 is interested in task 5.\nHost 14 is interested in task 7.\nHost 3 is interested in task 5.\nHost 5 is interested in task 4.\nHost 4 is interested in task 12.\nHost 13 is interested in task 10.\nHost 1 is interested in task 10.\nHost 11 is interested in task 6.\nHost 3 is interested in task 2.\nHost 2 is interested in task 2.\nHost 5 is interested in task 8.\nHost 9 is interested in task 8.\nHost 14 is interested in task 5.\nHost 10 is interested in task 8.\nHost 13 is interested in task 0.\nHost 14 is interested in task 4.\nHost 11 is interested in task 4.\nHost 9 is interested in task 11.\nHost 2 is interested in task 9.\nHost 14 is interested in task 10.\nHost 6 is interested in task 11.\nHost 14 is interested in task 12.\nHost 8 is interested in task 9.\nHost 14 is interested in task 9.\nHost 5 is interested in task 3.\nHost 10 is interested in task 9.\nHost 11 is interested in task 12.\nHost 4 is interested in task 4.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph445", "image": "data/matching/graph_visual/hard/graph445.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 0.\nHost 5 is interested in task 3.\nHost 7 is interested in task 6.\nHost 3 is interested in task 3.\nHost 7 is interested in task 2.\nHost 9 is interested in task 3.\nHost 11 is interested in task 8.\nHost 1 is interested in task 6.\nHost 1 is interested in task 4.\nHost 4 is interested in task 8.\nHost 0 is interested in task 6.\nHost 7 is interested in task 1.\nHost 8 is interested in task 5.\nHost 0 is interested in task 1.\nHost 0 is interested in task 0.\nHost 2 is interested in task 3.\nHost 3 is interested in task 4.\nHost 7 is interested in task 4.\nHost 4 is interested in task 1.\nHost 5 is interested in task 8.\nHost 8 is interested in task 0.\nHost 1 is interested in task 0.\nHost 2 is interested in task 5.\nHost 7 is interested in task 5.\nHost 5 is interested in task 1.\nHost 8 is interested in task 7.\nHost 2 is interested in task 4.\nHost 8 is interested in task 4.\nHost 2 is interested in task 6.\nHost 8 is interested in task 8.\nHost 1 is interested in task 3.\nHost 5 is interested in task 7.\nHost 7 is interested in task 0.\nHost 9 is interested in task 5.\nHost 1 is interested in task 7.\nHost 4 is interested in task 5.\nHost 11 is interested in task 3.\nHost 2 is interested in task 8.\nHost 10 is interested in task 4.\nHost 11 is interested in task 0.\nHost 11 is interested in task 2.\nHost 5 is interested in task 6.\nHost 11 is interested in task 1.\nHost 0 is interested in task 4.\nHost 10 is interested in task 0.\nHost 5 is interested in task 4.\nHost 0 is interested in task 7.\nHost 6 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 8.\nHost 8 is interested in task 3.\nHost 10 is interested in task 3.\nHost 4 is interested in task 2.\nHost 2 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph525", "image": "data/matching/graph_visual/hard/graph525.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 1.\nHost 11 is interested in task 3.\nHost 8 is interested in task 4.\nHost 0 is interested in task 8.\nHost 7 is interested in task 0.\nHost 5 is interested in task 6.\nHost 3 is interested in task 5.\nHost 7 is interested in task 8.\nHost 11 is interested in task 8.\nHost 8 is interested in task 0.\nHost 4 is interested in task 6.\nHost 9 is interested in task 7.\nHost 0 is interested in task 0.\nHost 9 is interested in task 11.\nHost 8 is interested in task 2.\nHost 0 is interested in task 7.\nHost 10 is interested in task 8.\nHost 0 is interested in task 3.\nHost 3 is interested in task 10.\nHost 3 is interested in task 9.\nHost 2 is interested in task 4.\nHost 11 is interested in task 5.\nHost 5 is interested in task 5.\nHost 9 is interested in task 10.\nHost 7 is interested in task 5.\nHost 9 is interested in task 3.\nHost 3 is interested in task 3.\nHost 2 is interested in task 7.\nHost 2 is interested in task 5.\nHost 1 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 11.\nHost 2 is interested in task 11.\nHost 8 is interested in task 10.\nHost 2 is interested in task 9.\nHost 2 is interested in task 8.\nHost 8 is interested in task 5.\nHost 4 is interested in task 11.\nHost 10 is interested in task 7.\nHost 3 is interested in task 8.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 4 is interested in task 10.\nHost 7 is interested in task 3.\nHost 10 is interested in task 4.\nHost 0 is interested in task 6.\nHost 8 is interested in task 1.\nHost 1 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1161", "image": "data/matching/graph_visual/hard/graph1161.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 4.\nHost 0 is interested in task 7.\nHost 2 is interested in task 8.\nHost 10 is interested in task 3.\nHost 12 is interested in task 11.\nHost 7 is interested in task 9.\nHost 9 is interested in task 3.\nHost 5 is interested in task 2.\nHost 10 is interested in task 13.\nHost 6 is interested in task 5.\nHost 4 is interested in task 7.\nHost 2 is interested in task 4.\nHost 14 is interested in task 8.\nHost 7 is interested in task 4.\nHost 5 is interested in task 6.\nHost 2 is interested in task 2.\nHost 4 is interested in task 14.\nHost 10 is interested in task 8.\nHost 1 is interested in task 10.\nHost 0 is interested in task 1.\nHost 11 is interested in task 10.\nHost 14 is interested in task 7.\nHost 0 is interested in task 0.\nHost 6 is interested in task 11.\nHost 1 is interested in task 8.\nHost 2 is interested in task 11.\nHost 5 is interested in task 0.\nHost 13 is interested in task 9.\nHost 2 is interested in task 9.\nHost 5 is interested in task 5.\nHost 13 is interested in task 12.\nHost 4 is interested in task 6.\nHost 8 is interested in task 5.\nHost 14 is interested in task 5.\nHost 5 is interested in task 3.\nHost 11 is interested in task 0.\nHost 1 is interested in task 12.\nHost 12 is interested in task 6.\nHost 1 is interested in task 11.\nHost 12 is interested in task 5.\nHost 3 is interested in task 4.\nHost 11 is interested in task 14.\nHost 9 is interested in task 10.\nHost 14 is interested in task 4.\nHost 5 is interested in task 7.\nHost 9 is interested in task 14.\nHost 12 is interested in task 13.\nHost 4 is interested in task 4.\nHost 2 is interested in task 13.\nHost 14 is interested in task 13.\nHost 0 is interested in task 12.\nHost 14 is interested in task 10.\nHost 14 is interested in task 3.\nHost 4 is interested in task 5.\nHost 7 is interested in task 13.\nHost 0 is interested in task 2.\nHost 12 is interested in task 3.\nHost 5 is interested in task 1.\nHost 2 is interested in task 5.\nHost 7 is interested in task 6.\nHost 5 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 12.\nHost 2 is interested in task 3.\nHost 8 is interested in task 0.\nHost 2 is interested in task 14.\nHost 13 is interested in task 10.\nHost 7 is interested in task 12.\nHost 7 is interested in task 2.\nHost 13 is interested in task 13.\nHost 9 is interested in task 7.\nHost 8 is interested in task 3.\nHost 2 is interested in task 6.\nHost 11 is interested in task 3.\nHost 14 is interested in task 9.\nHost 12 is interested in task 9.\nHost 7 is interested in task 8.\nHost 12 is interested in task 2.\nHost 7 is interested in task 10.\nHost 7 is interested in task 11.\nHost 13 is interested in task 7.\nHost 8 is interested in task 11.\nHost 6 is interested in task 0.\nHost 11 is interested in task 11.\nHost 4 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph287", "image": "data/matching/graph_visual/hard/graph287.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 1.\nHost 2 is interested in task 4.\nHost 6 is interested in task 0.\nHost 5 is interested in task 8.\nHost 3 is interested in task 6.\nHost 0 is interested in task 5.\nHost 10 is interested in task 7.\nHost 0 is interested in task 9.\nHost 10 is interested in task 1.\nHost 8 is interested in task 1.\nHost 5 is interested in task 5.\nHost 10 is interested in task 0.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 7 is interested in task 3.\nHost 8 is interested in task 5.\nHost 5 is interested in task 9.\nHost 7 is interested in task 0.\nHost 4 is interested in task 0.\nHost 1 is interested in task 2.\nHost 9 is interested in task 1.\nHost 10 is interested in task 6.\nHost 0 is interested in task 8.\nHost 9 is interested in task 7.\nHost 4 is interested in task 6.\nHost 2 is interested in task 6.\nHost 1 is interested in task 3.\nHost 7 is interested in task 4.\nHost 2 is interested in task 7.\nHost 7 is interested in task 2.\nHost 9 is interested in task 4.\nHost 2 is interested in task 2.\nHost 6 is interested in task 3.\nHost 4 is interested in task 5.\nHost 2 is interested in task 9.\nHost 5 is interested in task 7.\nHost 0 is interested in task 0.\nHost 6 is interested in task 7.\nHost 9 is interested in task 6.\nHost 0 is interested in task 3.\nHost 6 is interested in task 4.\nHost 3 is interested in task 2.\nHost 3 is interested in task 5.\nHost 6 is interested in task 8.\nHost 2 is interested in task 1.\nHost 3 is interested in task 8.\nHost 1 is interested in task 7.\nHost 7 is interested in task 7.\nHost 8 is interested in task 7.\nHost 10 is interested in task 5.\nHost 6 is interested in task 9.\nHost 8 is interested in task 0.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 10 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph46", "image": "data/matching/graph_visual/hard/graph46.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 3.\nHost 4 is interested in task 5.\nHost 0 is interested in task 5.\nHost 4 is interested in task 7.\nHost 8 is interested in task 4.\nHost 6 is interested in task 3.\nHost 2 is interested in task 2.\nHost 4 is interested in task 4.\nHost 2 is interested in task 0.\nHost 6 is interested in task 7.\nHost 8 is interested in task 0.\nHost 0 is interested in task 2.\nHost 3 is interested in task 4.\nHost 3 is interested in task 1.\nHost 5 is interested in task 5.\nHost 3 is interested in task 7.\nHost 7 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 0.\nHost 0 is interested in task 7.\nHost 6 is interested in task 4.\nHost 2 is interested in task 4.\nHost 0 is interested in task 0.\nHost 4 is interested in task 3.\nHost 4 is interested in task 6.\nHost 7 is interested in task 0.\nHost 7 is interested in task 7.\nHost 0 is interested in task 1.\nHost 2 is interested in task 6.\nHost 3 is interested in task 0.\nHost 8 is interested in task 3.\nHost 7 is interested in task 3.\nHost 7 is interested in task 6.\nHost 4 is interested in task 2.\nHost 6 is interested in task 1.\nHost 5 is interested in task 1.\nHost 3 is interested in task 3.\nHost 7 is interested in task 5.\nHost 9 is interested in task 1.\nHost 9 is interested in task 0.\nHost 3 is interested in task 5.\nHost 9 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph150", "image": "data/matching/graph_visual/hard/graph150.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 0 is interested in task 9.\nHost 4 is interested in task 3.\nHost 4 is interested in task 4.\nHost 9 is interested in task 0.\nHost 6 is interested in task 1.\nHost 1 is interested in task 9.\nHost 6 is interested in task 7.\nHost 9 is interested in task 6.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 9 is interested in task 4.\nHost 6 is interested in task 3.\nHost 8 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 9.\nHost 3 is interested in task 5.\nHost 9 is interested in task 5.\nHost 7 is interested in task 1.\nHost 2 is interested in task 11.\nHost 3 is interested in task 10.\nHost 3 is interested in task 4.\nHost 2 is interested in task 8.\nHost 8 is interested in task 0.\nHost 7 is interested in task 6.\nHost 0 is interested in task 10.\nHost 6 is interested in task 2.\nHost 7 is interested in task 7.\nHost 5 is interested in task 9.\nHost 1 is interested in task 6.\nHost 4 is interested in task 8.\nHost 6 is interested in task 8.\nHost 7 is interested in task 3.\nHost 1 is interested in task 8.\nHost 7 is interested in task 10.\nHost 8 is interested in task 11.\nHost 3 is interested in task 0.\nHost 1 is interested in task 11.\nHost 1 is interested in task 2.\nHost 9 is interested in task 2.\nHost 3 is interested in task 8.\nHost 6 is interested in task 5.\nHost 8 is interested in task 7.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph798", "image": "data/matching/graph_visual/hard/graph798.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 12.\nHost 5 is interested in task 9.\nHost 3 is interested in task 11.\nHost 4 is interested in task 10.\nHost 0 is interested in task 7.\nHost 9 is interested in task 13.\nHost 7 is interested in task 13.\nHost 8 is interested in task 6.\nHost 0 is interested in task 13.\nHost 8 is interested in task 14.\nHost 9 is interested in task 6.\nHost 12 is interested in task 9.\nHost 8 is interested in task 11.\nHost 11 is interested in task 8.\nHost 5 is interested in task 5.\nHost 12 is interested in task 1.\nHost 3 is interested in task 8.\nHost 8 is interested in task 0.\nHost 11 is interested in task 7.\nHost 2 is interested in task 6.\nHost 9 is interested in task 10.\nHost 9 is interested in task 3.\nHost 7 is interested in task 7.\nHost 0 is interested in task 3.\nHost 4 is interested in task 3.\nHost 8 is interested in task 9.\nHost 4 is interested in task 9.\nHost 9 is interested in task 7.\nHost 9 is interested in task 12.\nHost 0 is interested in task 8.\nHost 0 is interested in task 5.\nHost 12 is interested in task 11.\nHost 4 is interested in task 5.\nHost 8 is interested in task 13.\nHost 12 is interested in task 2.\nHost 4 is interested in task 7.\nHost 2 is interested in task 2.\nHost 7 is interested in task 5.\nHost 9 is interested in task 0.\nHost 12 is interested in task 10.\nHost 7 is interested in task 6.\nHost 3 is interested in task 5.\nHost 11 is interested in task 12.\nHost 0 is interested in task 0.\nHost 2 is interested in task 0.\nHost 4 is interested in task 8.\nHost 2 is interested in task 8.\nHost 11 is interested in task 4.\nHost 8 is interested in task 4.\nHost 1 is interested in task 3.\nHost 6 is interested in task 4.\nHost 8 is interested in task 2.\nHost 4 is interested in task 6.\nHost 4 is interested in task 4.\nHost 9 is interested in task 9.\nHost 11 is interested in task 14.\nHost 9 is interested in task 1.\nHost 5 is interested in task 7.\nHost 12 is interested in task 4.\nHost 0 is interested in task 2.\nHost 0 is interested in task 10.\nHost 5 is interested in task 8.\nHost 1 is interested in task 7.\nHost 11 is interested in task 10.\nHost 4 is interested in task 12.\nHost 1 is interested in task 2.\nHost 8 is interested in task 8.\nHost 3 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph40", "image": "data/matching/graph_visual/hard/graph40.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 2.\nHost 4 is interested in task 4.\nHost 8 is interested in task 0.\nHost 6 is interested in task 5.\nHost 2 is interested in task 2.\nHost 3 is interested in task 3.\nHost 9 is interested in task 4.\nHost 0 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 0.\nHost 5 is interested in task 0.\nHost 5 is interested in task 6.\nHost 1 is interested in task 7.\nHost 5 is interested in task 7.\nHost 3 is interested in task 1.\nHost 1 is interested in task 0.\nHost 5 is interested in task 5.\nHost 3 is interested in task 6.\nHost 9 is interested in task 1.\nHost 2 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 1.\nHost 3 is interested in task 5.\nHost 8 is interested in task 3.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 6 is interested in task 1.\nHost 7 is interested in task 2.\nHost 7 is interested in task 7.\nHost 8 is interested in task 4.\nHost 1 is interested in task 2.\nHost 9 is interested in task 6.\nHost 6 is interested in task 3.\nHost 1 is interested in task 4.\nHost 1 is interested in task 5.\nHost 6 is interested in task 7.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 6.\nHost 0 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1137", "image": "data/matching/graph_visual/hard/graph1137.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 1.\nHost 6 is interested in task 7.\nHost 12 is interested in task 2.\nHost 3 is interested in task 0.\nHost 7 is interested in task 7.\nHost 6 is interested in task 5.\nHost 13 is interested in task 7.\nHost 12 is interested in task 12.\nHost 3 is interested in task 8.\nHost 2 is interested in task 3.\nHost 2 is interested in task 10.\nHost 14 is interested in task 2.\nHost 2 is interested in task 8.\nHost 12 is interested in task 13.\nHost 14 is interested in task 5.\nHost 10 is interested in task 12.\nHost 2 is interested in task 4.\nHost 3 is interested in task 6.\nHost 11 is interested in task 11.\nHost 8 is interested in task 9.\nHost 9 is interested in task 12.\nHost 4 is interested in task 9.\nHost 14 is interested in task 6.\nHost 1 is interested in task 10.\nHost 10 is interested in task 8.\nHost 12 is interested in task 11.\nHost 3 is interested in task 11.\nHost 9 is interested in task 11.\nHost 9 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 8.\nHost 11 is interested in task 12.\nHost 12 is interested in task 9.\nHost 10 is interested in task 11.\nHost 14 is interested in task 0.\nHost 11 is interested in task 4.\nHost 9 is interested in task 6.\nHost 11 is interested in task 3.\nHost 3 is interested in task 9.\nHost 2 is interested in task 9.\nHost 5 is interested in task 5.\nHost 7 is interested in task 9.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1.\nHost 2 is interested in task 1.\nHost 1 is interested in task 8.\nHost 1 is interested in task 13.\nHost 8 is interested in task 10.\nHost 11 is interested in task 10.\nHost 5 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 5.\nHost 3 is interested in task 3.\nHost 1 is interested in task 6.\nHost 10 is interested in task 0.\nHost 5 is interested in task 12.\nHost 3 is interested in task 4.\nHost 14 is interested in task 11.\nHost 14 is interested in task 8.\nHost 11 is interested in task 6.\nHost 4 is interested in task 4.\nHost 12 is interested in task 0.\nHost 12 is interested in task 4.\nHost 10 is interested in task 7.\nHost 1 is interested in task 4.\nHost 1 is interested in task 7.\nHost 9 is interested in task 3.\nHost 10 is interested in task 13.\nHost 5 is interested in task 7.\nHost 12 is interested in task 7.\nHost 14 is interested in task 10.\nHost 4 is interested in task 6.\nHost 14 is interested in task 1.\nHost 12 is interested in task 5.\nHost 1 is interested in task 0.\nHost 5 is interested in task 4.\nHost 11 is interested in task 2.\nHost 13 is interested in task 11.\nHost 6 is interested in task 9.\nHost 7 is interested in task 4.\nHost 12 is interested in task 8.\nHost 1 is interested in task 12.\nHost 4 is interested in task 7.\nHost 2 is interested in task 6.\nHost 0 is interested in task 5.\nHost 10 is interested in task 5.\nHost 4 is interested in task 1.\nHost 9 is interested in task 1.\nHost 12 is interested in task 6.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph96", "image": "data/matching/graph_visual/hard/graph96.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 0 is interested in task 5.\nHost 7 is interested in task 3.\nHost 1 is interested in task 4.\nHost 9 is interested in task 6.\nHost 4 is interested in task 4.\nHost 0 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 9.\nHost 1 is interested in task 0.\nHost 8 is interested in task 6.\nHost 2 is interested in task 7.\nHost 9 is interested in task 3.\nHost 6 is interested in task 9.\nHost 4 is interested in task 1.\nHost 9 is interested in task 2.\nHost 9 is interested in task 5.\nHost 3 is interested in task 1.\nHost 9 is interested in task 0.\nHost 6 is interested in task 3.\nHost 6 is interested in task 7.\nHost 0 is interested in task 2.\nHost 6 is interested in task 0.\nHost 4 is interested in task 2.\nHost 9 is interested in task 8.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 3 is interested in task 5.\nHost 7 is interested in task 4.\nHost 8 is interested in task 5.\nHost 0 is interested in task 0.\nHost 8 is interested in task 7.\nHost 8 is interested in task 3.\nHost 4 is interested in task 6.\nHost 3 is interested in task 9.\nHost 3 is interested in task 8.\nHost 3 is interested in task 2.\nHost 4 is interested in task 5.\nHost 1 is interested in task 8.\nHost 0 is interested in task 6.\nHost 3 is interested in task 6.\nHost 9 is interested in task 1.\nHost 6 is interested in task 6.\nHost 9 is interested in task 9.\nHost 8 is interested in task 4.\nHost 1 is interested in task 5.\nHost 4 is interested in task 7.\nHost 8 is interested in task 9.\nHost 8 is interested in task 1.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph31", "image": "data/matching/graph_visual/hard/graph31.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 5.\nHost 2 is interested in task 7.\nHost 1 is interested in task 4.\nHost 1 is interested in task 6.\nHost 8 is interested in task 6.\nHost 3 is interested in task 6.\nHost 8 is interested in task 4.\nHost 5 is interested in task 2.\nHost 9 is interested in task 0.\nHost 9 is interested in task 7.\nHost 0 is interested in task 2.\nHost 8 is interested in task 1.\nHost 2 is interested in task 3.\nHost 9 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 7 is interested in task 4.\nHost 5 is interested in task 1.\nHost 6 is interested in task 0.\nHost 9 is interested in task 6.\nHost 8 is interested in task 3.\nHost 1 is interested in task 3.\nHost 8 is interested in task 7.\nHost 6 is interested in task 1.\nHost 4 is interested in task 6.\nHost 2 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 3.\nHost 1 is interested in task 2.\nHost 2 is interested in task 1.\nHost 1 is interested in task 1.\nHost 2 is interested in task 5.\nHost 1 is interested in task 7.\nHost 8 is interested in task 2.\nHost 7 is interested in task 0.\nHost 7 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1187", "image": "data/matching/graph_visual/hard/graph1187.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 1.\nHost 6 is interested in task 13.\nHost 11 is interested in task 5.\nHost 3 is interested in task 1.\nHost 5 is interested in task 7.\nHost 7 is interested in task 13.\nHost 9 is interested in task 5.\nHost 8 is interested in task 4.\nHost 0 is interested in task 12.\nHost 8 is interested in task 8.\nHost 8 is interested in task 14.\nHost 10 is interested in task 13.\nHost 7 is interested in task 14.\nHost 7 is interested in task 11.\nHost 7 is interested in task 12.\nHost 10 is interested in task 12.\nHost 6 is interested in task 8.\nHost 9 is interested in task 6.\nHost 8 is interested in task 7.\nHost 7 is interested in task 9.\nHost 3 is interested in task 9.\nHost 13 is interested in task 4.\nHost 5 is interested in task 1.\nHost 12 is interested in task 11.\nHost 10 is interested in task 3.\nHost 14 is interested in task 7.\nHost 9 is interested in task 10.\nHost 14 is interested in task 9.\nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 6 is interested in task 7.\nHost 11 is interested in task 7.\nHost 12 is interested in task 7.\nHost 3 is interested in task 8.\nHost 8 is interested in task 11.\nHost 7 is interested in task 1.\nHost 11 is interested in task 11.\nHost 14 is interested in task 13.\nHost 7 is interested in task 0.\nHost 11 is interested in task 2.\nHost 8 is interested in task 12.\nHost 5 is interested in task 12.\nHost 3 is interested in task 3.\nHost 6 is interested in task 4.\nHost 11 is interested in task 8.\nHost 8 is interested in task 15.\nHost 4 is interested in task 0.\nHost 4 is interested in task 11.\nHost 12 is interested in task 3.\nHost 14 is interested in task 14.\nHost 13 is interested in task 6.\nHost 6 is interested in task 12.\nHost 2 is interested in task 2.\nHost 1 is interested in task 14.\nHost 0 is interested in task 11.\nHost 9 is interested in task 14.\nHost 9 is interested in task 0.\nHost 1 is interested in task 9.\nHost 14 is interested in task 15.\nHost 8 is interested in task 1.\nHost 10 is interested in task 5.\nHost 5 is interested in task 3.\nHost 8 is interested in task 13.\nHost 7 is interested in task 4.\nHost 0 is interested in task 14.\nHost 13 is interested in task 5.\nHost 14 is interested in task 4.\nHost 8 is interested in task 5.\nHost 1 is interested in task 10.\nHost 4 is interested in task 8.\nHost 4 is interested in task 12.\nHost 4 is interested in task 14.\nHost 3 is interested in task 5.\nHost 11 is interested in task 14.\nHost 10 is interested in task 8.\nHost 3 is interested in task 4.\nHost 10 is interested in task 9.\nHost 6 is interested in task 0.\nHost 8 is interested in task 6.\nHost 9 is interested in task 4.\nHost 13 is interested in task 1.\nHost 0 is interested in task 5.\nHost 2 is interested in task 7.\nHost 14 is interested in task 8.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph818", "image": "data/matching/graph_visual/hard/graph818.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 13.\nHost 7 is interested in task 3.\nHost 3 is interested in task 8.\nHost 7 is interested in task 5.\nHost 1 is interested in task 15.\nHost 10 is interested in task 11.\nHost 4 is interested in task 11.\nHost 9 is interested in task 4.\nHost 0 is interested in task 11.\nHost 7 is interested in task 11.\nHost 9 is interested in task 13.\nHost 10 is interested in task 1.\nHost 6 is interested in task 10.\nHost 4 is interested in task 13.\nHost 3 is interested in task 14.\nHost 9 is interested in task 6.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 7 is interested in task 15.\nHost 12 is interested in task 0.\nHost 10 is interested in task 12.\nHost 12 is interested in task 4.\nHost 4 is interested in task 9.\nHost 10 is interested in task 0.\nHost 9 is interested in task 9.\nHost 6 is interested in task 3.\nHost 0 is interested in task 7.\nHost 8 is interested in task 5.\nHost 2 is interested in task 0.\nHost 3 is interested in task 5.\nHost 7 is interested in task 10.\nHost 11 is interested in task 4.\nHost 7 is interested in task 13.\nHost 4 is interested in task 4.\nHost 11 is interested in task 1.\nHost 1 is interested in task 3.\nHost 10 is interested in task 8.\nHost 4 is interested in task 3.\nHost 0 is interested in task 9.\nHost 0 is interested in task 15.\nHost 6 is interested in task 5.\nHost 12 is interested in task 13.\nHost 4 is interested in task 7.\nHost 12 is interested in task 1.\nHost 6 is interested in task 9.\nHost 2 is interested in task 10.\nHost 3 is interested in task 9.\nHost 6 is interested in task 8.\nHost 5 is interested in task 2.\nHost 1 is interested in task 2.\nHost 4 is interested in task 12.\nHost 6 is interested in task 12.\nHost 6 is interested in task 4.\nHost 0 is interested in task 12.\nHost 6 is interested in task 14.\nHost 7 is interested in task 0.\nHost 1 is interested in task 1.\nHost 5 is interested in task 8.\nHost 9 is interested in task 8.\nHost 4 is interested in task 15.\nHost 11 is interested in task 12.\nHost 7 is interested in task 14.\nHost 8 is interested in task 13.\nHost 4 is interested in task 0.\nHost 12 is interested in task 15.\nHost 1 is interested in task 4.\nHost 3 is interested in task 10.\nHost 11 is interested in task 6.\nHost 12 is interested in task 8.\nHost 4 is interested in task 8.\nHost 10 is interested in task 9.\nHost 7 is interested in task 8.\nHost 1 is interested in task 9.\nHost 11 is interested in task 0.\nHost 1 is interested in task 14.\nHost 8 is interested in task 12.\nHost 4 is interested in task 10.\nHost 9 is interested in task 11.\nHost 6 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 8.\nHost 10 is interested in task 10.\nHost 6 is interested in task 13.\nHost 7 is interested in task 4.\nHost 11 is interested in task 10.\nHost 1 is interested in task 6.\nHost 5 is interested in task 11.\nHost 8 is interested in task 11.\nHost 9 is interested in task 12.\nHost 1 is interested in task 10.\nHost 6 is interested in task 7.\nHost 5 is interested in task 15.\nHost 12 is interested in task 6.\nHost 5 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph164", "image": "data/matching/graph_visual/hard/graph164.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 1.\nHost 9 is interested in task 7.\nHost 7 is interested in task 6.\nHost 1 is interested in task 10.\nHost 8 is interested in task 4.\nHost 2 is interested in task 7.\nHost 7 is interested in task 10.\nHost 1 is interested in task 8.\nHost 7 is interested in task 8.\nHost 1 is interested in task 0.\nHost 9 is interested in task 3.\nHost 3 is interested in task 3.\nHost 1 is interested in task 1.\nHost 1 is interested in task 3.\nHost 5 is interested in task 8.\nHost 4 is interested in task 9.\nHost 9 is interested in task 9.\nHost 4 is interested in task 3.\nHost 4 is interested in task 8.\nHost 7 is interested in task 11.\nHost 3 is interested in task 4.\nHost 1 is interested in task 7.\nHost 9 is interested in task 6.\nHost 0 is interested in task 10.\nHost 2 is interested in task 10.\nHost 5 is interested in task 4.\nHost 0 is interested in task 11.\nHost 4 is interested in task 1.\nHost 1 is interested in task 2.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 4 is interested in task 6.\nHost 8 is interested in task 1.\nHost 5 is interested in task 10.\nHost 3 is interested in task 2.\nHost 1 is interested in task 4.\nHost 4 is interested in task 4.\nHost 8 is interested in task 8.\nHost 4 is interested in task 5.\nHost 3 is interested in task 8.\nHost 5 is interested in task 5.\nHost 8 is interested in task 9.\nHost 9 is interested in task 10.\nHost 3 is interested in task 11.\nHost 2 is interested in task 2.\nHost 3 is interested in task 5.\nHost 8 is interested in task 11.\nHost 9 is interested in task 0.\nHost 9 is interested in task 5.\nHost 2 is interested in task 6.\nHost 8 is interested in task 3.\nHost 8 is interested in task 10.\nHost 8 is interested in task 0.\nHost 1 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph393", "image": "data/matching/graph_visual/hard/graph393.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 10.\nHost 3 is interested in task 5.\nHost 0 is interested in task 4.\nHost 7 is interested in task 7.\nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 7 is interested in task 11.\nHost 0 is interested in task 2.\nHost 2 is interested in task 7.\nHost 0 is interested in task 3.\nHost 8 is interested in task 9.\nHost 3 is interested in task 1.\nHost 9 is interested in task 3.\nHost 10 is interested in task 7.\nHost 1 is interested in task 6.\nHost 9 is interested in task 5.\nHost 7 is interested in task 9.\nHost 5 is interested in task 7.\nHost 9 is interested in task 10.\nHost 2 is interested in task 2.\nHost 0 is interested in task 12.\nHost 9 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 6.\nHost 8 is interested in task 2.\nHost 7 is interested in task 4.\nHost 1 is interested in task 12.\nHost 1 is interested in task 4.\nHost 10 is interested in task 13.\nHost 9 is interested in task 8.\nHost 9 is interested in task 7.\nHost 2 is interested in task 5.\nHost 3 is interested in task 13.\nHost 5 is interested in task 1.\nHost 8 is interested in task 7.\nHost 3 is interested in task 3.\nHost 9 is interested in task 0.\nHost 7 is interested in task 1.\nHost 4 is interested in task 4.\nHost 2 is interested in task 10.\nHost 7 is interested in task 2.\nHost 1 is interested in task 5.\nHost 4 is interested in task 0.\nHost 7 is interested in task 0.\nHost 0 is interested in task 10.\nHost 3 is interested in task 11.\nHost 7 is interested in task 12.\nHost 3 is interested in task 12.\nHost 1 is interested in task 10.\nHost 0 is interested in task 1.\nHost 7 is interested in task 6.\nHost 7 is interested in task 5.\nHost 3 is interested in task 4.\nHost 0 is interested in task 0.\nHost 6 is interested in task 3.\nHost 1 is interested in task 11.\nHost 0 is interested in task 13.\nHost 3 is interested in task 9.\nHost 10 is interested in task 4.\nHost 3 is interested in task 2.\nHost 10 is interested in task 6.\nHost 6 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph24", "image": "data/matching/graph_visual/hard/graph24.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 7 is interested in task 2.\nHost 6 is interested in task 5.\nHost 2 is interested in task 4.\nHost 7 is interested in task 3.\nHost 8 is interested in task 4.\nHost 4 is interested in task 5.\nHost 8 is interested in task 1.\nHost 5 is interested in task 1.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 2 is interested in task 2.\nHost 2 is interested in task 3.\nHost 9 is interested in task 1.\nHost 4 is interested in task 0.\nHost 5 is interested in task 0.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 9 is interested in task 2.\nHost 1 is interested in task 5.\nHost 1 is interested in task 6.\nHost 5 is interested in task 4.\nHost 2 is interested in task 5.\nHost 3 is interested in task 5.\nHost 7 is interested in task 1.\nHost 5 is interested in task 6.\nHost 2 is interested in task 1.\nHost 3 is interested in task 4.\nHost 5 is interested in task 5.\nHost 4 is interested in task 2.\nHost 8 is interested in task 6.\nHost 6 is interested in task 4.\nHost 0 is interested in task 5.\nHost 0 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph1191", "image": "data/matching/graph_visual/hard/graph1191.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 10.\nHost 3 is interested in task 10.\nHost 5 is interested in task 2.\nHost 4 is interested in task 13.\nHost 13 is interested in task 7.\nHost 1 is interested in task 6.\nHost 1 is interested in task 0.\nHost 8 is interested in task 4.\nHost 13 is interested in task 10.\nHost 0 is interested in task 2.\nHost 14 is interested in task 12.\nHost 3 is interested in task 9.\nHost 9 is interested in task 6.\nHost 6 is interested in task 4.\nHost 1 is interested in task 1.\nHost 8 is interested in task 11.\nHost 13 is interested in task 9.\nHost 11 is interested in task 11.\nHost 11 is interested in task 4.\nHost 1 is interested in task 15.\nHost 8 is interested in task 14.\nHost 7 is interested in task 4.\nHost 8 is interested in task 9.\nHost 2 is interested in task 9.\nHost 7 is interested in task 0.\nHost 6 is interested in task 0.\nHost 11 is interested in task 12.\nHost 2 is interested in task 5.\nHost 6 is interested in task 1.\nHost 10 is interested in task 0.\nHost 8 is interested in task 7.\nHost 14 is interested in task 10.\nHost 9 is interested in task 15.\nHost 11 is interested in task 0.\nHost 0 is interested in task 13.\nHost 1 is interested in task 14.\nHost 2 is interested in task 15.\nHost 13 is interested in task 6.\nHost 2 is interested in task 1.\nHost 9 is interested in task 9.\nHost 8 is interested in task 1.\nHost 13 is interested in task 12.\nHost 4 is interested in task 4.\nHost 11 is interested in task 6.\nHost 8 is interested in task 8.\nHost 14 is interested in task 5.\nHost 11 is interested in task 13.\nHost 1 is interested in task 5.\nHost 5 is interested in task 13.\nHost 10 is interested in task 14.\nHost 1 is interested in task 3.\nHost 5 is interested in task 8.\nHost 9 is interested in task 12.\nHost 2 is interested in task 8.\nHost 2 is interested in task 13.\nHost 13 is interested in task 5.\nHost 6 is interested in task 11.\nHost 2 is interested in task 0.\nHost 14 is interested in task 2.\nHost 3 is interested in task 4.\nHost 1 is interested in task 13.\nHost 9 is interested in task 8.\nHost 1 is interested in task 8.\nHost 1 is interested in task 2.\nHost 10 is interested in task 9.\nHost 3 is interested in task 6.\nHost 7 is interested in task 3.\nHost 3 is interested in task 1.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph848", "image": "data/matching/graph_visual/hard/graph848.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 0.\nHost 1 is interested in task 6.\nHost 5 is interested in task 5.\nHost 12 is interested in task 3.\nHost 8 is interested in task 9.\nHost 5 is interested in task 9.\nHost 12 is interested in task 6.\nHost 3 is interested in task 7.\nHost 13 is interested in task 5.\nHost 0 is interested in task 8.\nHost 4 is interested in task 10.\nHost 10 is interested in task 8.\nHost 8 is interested in task 7.\nHost 6 is interested in task 3.\nHost 6 is interested in task 2.\nHost 4 is interested in task 7.\nHost 4 is interested in task 4.\nHost 1 is interested in task 10.\nHost 2 is interested in task 3.\nHost 12 is interested in task 10.\nHost 9 is interested in task 0.\nHost 9 is interested in task 6.\nHost 4 is interested in task 3.\nHost 10 is interested in task 4.\nHost 5 is interested in task 2.\nHost 13 is interested in task 3.\nHost 8 is interested in task 0.\nHost 5 is interested in task 10.\nHost 7 is interested in task 2.\nHost 11 is interested in task 7.\nHost 9 is interested in task 4.\nHost 13 is interested in task 4.\nHost 2 is interested in task 0.\nHost 10 is interested in task 5.\nHost 2 is interested in task 8.\nHost 11 is interested in task 0.\nHost 5 is interested in task 1.\nHost 1 is interested in task 8.\nHost 11 is interested in task 5.\nHost 4 is interested in task 6.\nHost 11 is interested in task 10.\nHost 2 is interested in task 7.\nHost 5 is interested in task 0.\nHost 8 is interested in task 6.\nHost 0 is interested in task 0.\nHost 12 is interested in task 8.\nHost 12 is interested in task 5.\nHost 7 is interested in task 3.\nHost 6 is interested in task 9.\nHost 13 is interested in task 9.\nHost 8 is interested in task 5.\nHost 7 is interested in task 1.\nHost 2 is interested in task 5.\nHost 12 is interested in task 1.\nHost 10 is interested in task 3.\nHost 4 is interested in task 8.\nHost 13 is interested in task 1.\nHost 3 is interested in task 8.\nHost 13 is interested in task 8.\nHost 11 is interested in task 4.\nHost 7 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph97", "image": "data/matching/graph_visual/hard/graph97.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 9.\nHost 8 is interested in task 5.\nHost 5 is interested in task 3.\nHost 9 is interested in task 4.\nHost 7 is interested in task 1.\nHost 7 is interested in task 0.\nHost 1 is interested in task 1.\nHost 8 is interested in task 6.\nHost 7 is interested in task 5.\nHost 9 is interested in task 5.\nHost 2 is interested in task 6.\nHost 0 is interested in task 3.\nHost 0 is interested in task 2.\nHost 9 is interested in task 8.\nHost 4 is interested in task 8.\nHost 8 is interested in task 2.\nHost 3 is interested in task 0.\nHost 0 is interested in task 7.\nHost 9 is interested in task 7.\nHost 2 is interested in task 2.\nHost 2 is interested in task 7.\nHost 6 is interested in task 4.\nHost 1 is interested in task 7.\nHost 1 is interested in task 0.\nHost 1 is interested in task 9.\nHost 6 is interested in task 2.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 7 is interested in task 7.\nHost 5 is interested in task 2.\nHost 9 is interested in task 0.\nHost 3 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 5 is interested in task 5.\nHost 5 is interested in task 9.\nHost 2 is interested in task 4.\nHost 7 is interested in task 6.\nHost 7 is interested in task 4.\nHost 3 is interested in task 2.\nHost 1 is interested in task 2.\nHost 0 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph953", "image": "data/matching/graph_visual/hard/graph953.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 3.\nHost 0 is interested in task 9.\nHost 12 is interested in task 7.\nHost 6 is interested in task 4.\nHost 0 is interested in task 7.\nHost 10 is interested in task 9.\nHost 2 is interested in task 3.\nHost 3 is interested in task 10.\nHost 12 is interested in task 9.\nHost 0 is interested in task 8.\nHost 8 is interested in task 3.\nHost 11 is interested in task 11.\nHost 13 is interested in task 13.\nHost 12 is interested in task 0.\nHost 9 is interested in task 2.\nHost 4 is interested in task 3.\nHost 0 is interested in task 13.\nHost 3 is interested in task 2.\nHost 11 is interested in task 2.\nHost 6 is interested in task 7.\nHost 5 is interested in task 2.\nHost 7 is interested in task 1.\nHost 5 is interested in task 7.\nHost 5 is interested in task 5.\nHost 3 is interested in task 9.\nHost 9 is interested in task 3.\nHost 6 is interested in task 5.\nHost 7 is interested in task 11.\nHost 9 is interested in task 0.\nHost 12 is interested in task 5.\nHost 13 is interested in task 12.\nHost 10 is interested in task 6.\nHost 12 is interested in task 12.\nHost 13 is interested in task 9.\nHost 10 is interested in task 5.\nHost 2 is interested in task 12.\nHost 8 is interested in task 1.\nHost 3 is interested in task 6.\nHost 13 is interested in task 3.\nHost 2 is interested in task 1.\nHost 6 is interested in task 1.\nHost 6 is interested in task 12.\nHost 0 is interested in task 2.\nHost 5 is interested in task 13.\nHost 3 is interested in task 0.\nHost 12 is interested in task 4.\nHost 12 is interested in task 3.\nHost 5 is interested in task 8.\nHost 13 is interested in task 1.\nHost 1 is interested in task 5.\nHost 10 is interested in task 10.\nHost 9 is interested in task 12.\nHost 9 is interested in task 6.\nHost 1 is interested in task 6.\nHost 11 is interested in task 9.\nHost 6 is interested in task 8.\nHost 0 is interested in task 4.\nHost 9 is interested in task 11.\nHost 5 is interested in task 6.\nHost 7 is interested in task 0.\nHost 2 is interested in task 7.\nHost 13 is interested in task 6.\nHost 8 is interested in task 4.\nHost 10 is interested in task 1.\nHost 11 is interested in task 12.\nHost 2 is interested in task 11.\nHost 2 is interested in task 0.\nHost 0 is interested in task 12.\nHost 7 is interested in task 13.\nHost 6 is interested in task 9.\nHost 3 is interested in task 13.\nHost 9 is interested in task 9.\nHost 4 is interested in task 10.\nHost 5 is interested in task 11.\nHost 12 is interested in task 1.\nHost 7 is interested in task 8.\nHost 5 is interested in task 12.\nHost 2 is interested in task 6.\nHost 10 is interested in task 8.\nHost 3 is interested in task 1.\nHost 7 is interested in task 10.\nHost 10 is interested in task 4.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1038", "image": "data/matching/graph_visual/hard/graph1038.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 6 is interested in task 9.\nHost 11 is interested in task 7.\nHost 4 is interested in task 0.\nHost 2 is interested in task 7.\nHost 10 is interested in task 15.\nHost 0 is interested in task 10.\nHost 1 is interested in task 9.\nHost 12 is interested in task 7.\nHost 2 is interested in task 13.\nHost 2 is interested in task 0.\nHost 6 is interested in task 0.\nHost 9 is interested in task 3.\nHost 10 is interested in task 3.\nHost 8 is interested in task 1.\nHost 10 is interested in task 7.\nHost 7 is interested in task 0.\nHost 6 is interested in task 2.\nHost 5 is interested in task 0.\nHost 11 is interested in task 11.\nHost 6 is interested in task 15.\nHost 5 is interested in task 15.\nHost 1 is interested in task 0.\nHost 2 is interested in task 2.\nHost 10 is interested in task 13.\nHost 10 is interested in task 2.\nHost 12 is interested in task 8.\nHost 6 is interested in task 4.\nHost 6 is interested in task 10.\nHost 6 is interested in task 1.\nHost 5 is interested in task 11.\nHost 5 is interested in task 16.\nHost 2 is interested in task 15.\nHost 13 is interested in task 2.\nHost 8 is interested in task 2.\nHost 9 is interested in task 2.\nHost 10 is interested in task 14.\nHost 6 is interested in task 3.\nHost 11 is interested in task 13.\nHost 0 is interested in task 14.\nHost 10 is interested in task 12.\nHost 3 is interested in task 2.\nHost 5 is interested in task 4.\nHost 7 is interested in task 12.\nHost 12 is interested in task 3.\nHost 9 is interested in task 8.\nHost 9 is interested in task 12.\nHost 8 is interested in task 15.\nHost 11 is interested in task 15.\nHost 12 is interested in task 1.\nHost 7 is interested in task 14.\nHost 10 is interested in task 11.\nHost 11 is interested in task 6.\nHost 3 is interested in task 4.\nHost 2 is interested in task 9.\nHost 4 is interested in task 3.\nHost 7 is interested in task 11.\nHost 6 is interested in task 7.\nHost 10 is interested in task 1.\nHost 7 is interested in task 1.\nHost 0 is interested in task 4.\nHost 7 is interested in task 9.\nHost 8 is interested in task 8.\nHost 1 is interested in task 5.\nHost 2 is interested in task 1.\nHost 7 is interested in task 10.\nHost 11 is interested in task 10.\nHost 11 is interested in task 5.\nHost 10 is interested in task 10.\nHost 13 is interested in task 15.\nHost 13 is interested in task 9.\nHost 12 is interested in task 14.\nHost 12 is interested in task 13.\nHost 6 is interested in task 8.\nHost 11 is interested in task 2.\nHost 13 is interested in task 1.\nHost 4 is interested in task 12.\nHost 12 is interested in task 9.\nHost 5 is interested in task 1.\nHost 0 is interested in task 15.\nHost 6 is interested in task 6.\nHost 12 is interested in task 10.\nHost 5 is interested in task 12.\nHost 13 is interested in task 6.\nHost 4 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph324", "image": "data/matching/graph_visual/hard/graph324.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 0.\nHost 5 is interested in task 10.\nHost 10 is interested in task 5.\nHost 3 is interested in task 10.\nHost 0 is interested in task 10.\nHost 3 is interested in task 8.\nHost 3 is interested in task 2.\nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 2 is interested in task 0.\nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 4 is interested in task 3.\nHost 6 is interested in task 10.\nHost 0 is interested in task 9.\nHost 10 is interested in task 1.\nHost 4 is interested in task 2.\nHost 10 is interested in task 7.\nHost 7 is interested in task 9.\nHost 0 is interested in task 5.\nHost 4 is interested in task 10.\nHost 3 is interested in task 6.\nHost 5 is interested in task 5.\nHost 6 is interested in task 1.\nHost 2 is interested in task 10.\nHost 1 is interested in task 0.\nHost 10 is interested in task 6.\nHost 6 is interested in task 9.\nHost 9 is interested in task 6.\nHost 1 is interested in task 2.\nHost 0 is interested in task 6.\nHost 8 is interested in task 9.\nHost 5 is interested in task 3.\nHost 8 is interested in task 10.\nHost 0 is interested in task 8.\nHost 5 is interested in task 1.\nHost 4 is interested in task 9.\nHost 1 is interested in task 10.\nHost 5 is interested in task 9.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1110", "image": "data/matching/graph_visual/hard/graph1110.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 5.\nHost 9 is interested in task 7.\nHost 2 is interested in task 11.\nHost 10 is interested in task 9.\nHost 8 is interested in task 4.\nHost 14 is interested in task 11.\nHost 9 is interested in task 9.\nHost 1 is interested in task 3.\nHost 1 is interested in task 10.\nHost 8 is interested in task 12.\nHost 6 is interested in task 7.\nHost 4 is interested in task 13.\nHost 7 is interested in task 5.\nHost 1 is interested in task 0.\nHost 13 is interested in task 8.\nHost 9 is interested in task 11.\nHost 2 is interested in task 3.\nHost 6 is interested in task 11.\nHost 1 is interested in task 2.\nHost 11 is interested in task 9.\nHost 2 is interested in task 2.\nHost 6 is interested in task 2.\nHost 2 is interested in task 9.\nHost 7 is interested in task 8.\nHost 13 is interested in task 11.\nHost 0 is interested in task 13.\nHost 1 is interested in task 4.\nHost 11 is interested in task 10.\nHost 6 is interested in task 9.\nHost 14 is interested in task 3.\nHost 9 is interested in task 12.\nHost 7 is interested in task 1.\nHost 5 is interested in task 0.\nHost 11 is interested in task 3.\nHost 14 is interested in task 12.\nHost 4 is interested in task 1.\nHost 7 is interested in task 13.\nHost 2 is interested in task 1.\nHost 13 is interested in task 13.\nHost 13 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 13.\nHost 7 is interested in task 4.\nHost 1 is interested in task 7.\nHost 6 is interested in task 12.\nHost 10 is interested in task 2.\nHost 14 is interested in task 6.\nHost 10 is interested in task 1.\nHost 9 is interested in task 2.\nHost 6 is interested in task 1.\nHost 13 is interested in task 9.\nHost 7 is interested in task 2.\nHost 8 is interested in task 6.\nHost 11 is interested in task 1.\nHost 11 is interested in task 5.\nHost 6 is interested in task 10.\nHost 4 is interested in task 11.\nHost 4 is interested in task 2.\nHost 10 is interested in task 0.\nHost 5 is interested in task 6.\nHost 3 is interested in task 2.\nHost 3 is interested in task 12.\nHost 10 is interested in task 7.\nHost 6 is interested in task 4.\nHost 5 is interested in task 3.\nHost 4 is interested in task 10.\nHost 2 is interested in task 8.\nHost 12 is interested in task 7.\nHost 2 is interested in task 12.\nHost 6 is interested in task 0.\nHost 2 is interested in task 0.\nHost 10 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1207", "image": "data/matching/graph_visual/hard/graph1207.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 0 is interested in task 12.\nHost 6 is interested in task 15.\nHost 13 is interested in task 2.\nHost 14 is interested in task 8.\nHost 6 is interested in task 10.\nHost 12 is interested in task 16.\nHost 9 is interested in task 13.\nHost 10 is interested in task 9.\nHost 6 is interested in task 12.\nHost 7 is interested in task 6.\nHost 13 is interested in task 7.\nHost 2 is interested in task 8.\nHost 3 is interested in task 4.\nHost 1 is interested in task 13.\nHost 11 is interested in task 5.\nHost 14 is interested in task 16.\nHost 5 is interested in task 13.\nHost 14 is interested in task 0.\nHost 10 is interested in task 16.\nHost 0 is interested in task 8.\nHost 14 is interested in task 10.\nHost 8 is interested in task 9.\nHost 13 is interested in task 16.\nHost 10 is interested in task 15.\nHost 13 is interested in task 0.\nHost 9 is interested in task 11.\nHost 2 is interested in task 10.\nHost 9 is interested in task 7.\nHost 9 is interested in task 12.\nHost 4 is interested in task 1.\nHost 4 is interested in task 3.\nHost 0 is interested in task 1.\nHost 12 is interested in task 2.\nHost 13 is interested in task 11.\nHost 9 is interested in task 9.\nHost 4 is interested in task 16.\nHost 0 is interested in task 2.\nHost 10 is interested in task 4.\nHost 1 is interested in task 11.\nHost 14 is interested in task 2.\nHost 12 is interested in task 7.\nHost 12 is interested in task 11.\nHost 4 is interested in task 2.\nHost 10 is interested in task 12.\nHost 9 is interested in task 16.\nHost 11 is interested in task 10.\nHost 14 is interested in task 1.\nHost 4 is interested in task 14.\nHost 14 is interested in task 6.\nHost 2 is interested in task 0.\nHost 11 is interested in task 1.\nHost 8 is interested in task 4.\nHost 2 is interested in task 9.\nHost 0 is interested in task 10.\nHost 12 is interested in task 15.\nHost 1 is interested in task 3.\nHost 1 is interested in task 9.\nHost 6 is interested in task 1.\nHost 10 is interested in task 10.\nHost 7 is interested in task 14.\nHost 5 is interested in task 10.\nHost 1 is interested in task 1.\nHost 5 is interested in task 8.\nHost 0 is interested in task 16.\nHost 8 is interested in task 14.\nHost 11 is interested in task 6.\nHost 8 is interested in task 15.\nHost 6 is interested in task 13.\nHost 8 is interested in task 16.\nHost 4 is interested in task 7.\nHost 7 is interested in task 7.\nHost 1 is interested in task 7.\nHost 10 is interested in task 7.\nHost 0 is interested in task 15.\nHost 12 is interested in task 4.\nHost 4 is interested in task 0.\nHost 6 is interested in task 6.\nHost 2 is interested in task 15.\nHost 4 is interested in task 13.\nHost 8 is interested in task 6.\nHost 8 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 12.\nHost 9 is interested in task 4.\nHost 6 is interested in task 11.\nHost 5 is interested in task 0.\nHost 1 is interested in task 8.\nHost 10 is interested in task 14.\nHost 9 is interested in task 1.\nHost 10 is interested in task 1.\nHost 2 is interested in task 1.\nHost 11 is interested in task 7.\nHost 13 is interested in task 6.\nHost 11 is interested in task 8.\nHost 14 is interested in task 5.\nHost 10 is interested in task 5.\nHost 9 is interested in task 2.\nHost 8 is interested in task 11.\nHost 4 is interested in task 9.\nHost 11 is interested in task 15.\nHost 14 is interested in task 13.\nHost 10 is interested in task 11.\nHost 14 is interested in task 3.\nHost 12 is interested in task 10.\nHost 7 is interested in task 11.\nHost 11 is interested in task 2.\nHost 11 is interested in task 12. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph928", "image": "data/matching/graph_visual/hard/graph928.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 10.\nHost 12 is interested in task 4.\nHost 8 is interested in task 2.\nHost 3 is interested in task 11.\nHost 4 is interested in task 1.\nHost 6 is interested in task 11.\nHost 0 is interested in task 5.\nHost 4 is interested in task 9.\nHost 0 is interested in task 4.\nHost 3 is interested in task 2.\nHost 13 is interested in task 4.\nHost 6 is interested in task 7.\nHost 1 is interested in task 6.\nHost 13 is interested in task 7.\nHost 0 is interested in task 10.\nHost 13 is interested in task 8.\nHost 10 is interested in task 8.\nHost 10 is interested in task 6.\nHost 5 is interested in task 12.\nHost 4 is interested in task 12.\nHost 7 is interested in task 3.\nHost 3 is interested in task 7.\nHost 3 is interested in task 5.\nHost 0 is interested in task 9.\nHost 6 is interested in task 4.\nHost 3 is interested in task 12.\nHost 11 is interested in task 11.\nHost 9 is interested in task 4.\nHost 11 is interested in task 1.\nHost 10 is interested in task 11.\nHost 9 is interested in task 6.\nHost 9 is interested in task 3.\nHost 11 is interested in task 0.\nHost 8 is interested in task 8.\nHost 4 is interested in task 7.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 13 is interested in task 2.\nHost 1 is interested in task 2.\nHost 7 is interested in task 10.\nHost 7 is interested in task 8.\nHost 4 is interested in task 5.\nHost 6 is interested in task 10.\nHost 1 is interested in task 0.\nHost 2 is interested in task 5.\nHost 5 is interested in task 9.\nHost 2 is interested in task 7.\nHost 11 is interested in task 5.\nHost 9 is interested in task 0.\nHost 3 is interested in task 1.\nHost 6 is interested in task 1.\nHost 2 is interested in task 3.\nHost 3 is interested in task 0.\nHost 2 is interested in task 11.\nHost 11 is interested in task 9.\nHost 9 is interested in task 5.\nHost 5 is interested in task 2.\nHost 10 is interested in task 1.\nHost 9 is interested in task 11.\nHost 7 is interested in task 12.\nHost 10 is interested in task 0.\nHost 8 is interested in task 6.\nHost 9 is interested in task 9.\nHost 11 is interested in task 8.\nHost 3 is interested in task 9.\nHost 9 is interested in task 10.\nHost 8 is interested in task 12.\nHost 4 is interested in task 11.\nHost 7 is interested in task 4.\nHost 7 is interested in task 5.\nHost 11 is interested in task 2.\nHost 8 is interested in task 10.\nHost 8 is interested in task 1.\nHost 7 is interested in task 6.\nHost 2 is interested in task 0.\nHost 7 is interested in task 11.\nHost 4 is interested in task 3.\nHost 2 is interested in task 2.\nHost 10 is interested in task 7.\nHost 9 is interested in task 2.\nHost 13 is interested in task 5.\nHost 13 is interested in task 6.\nHost 0 is interested in task 11. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph520", "image": "data/matching/graph_visual/hard/graph520.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 8.\nHost 3 is interested in task 5.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 2 is interested in task 9.\nHost 9 is interested in task 9.\nHost 3 is interested in task 7.\nHost 10 is interested in task 8.\nHost 11 is interested in task 10.\nHost 4 is interested in task 3.\nHost 3 is interested in task 8.\nHost 3 is interested in task 2.\nHost 8 is interested in task 3.\nHost 7 is interested in task 4.\nHost 7 is interested in task 1.\nHost 8 is interested in task 6.\nHost 11 is interested in task 11.\nHost 3 is interested in task 9.\nHost 0 is interested in task 0.\nHost 5 is interested in task 3.\nHost 7 is interested in task 6.\nHost 4 is interested in task 10.\nHost 0 is interested in task 6.\nHost 11 is interested in task 9.\nHost 2 is interested in task 2.\nHost 11 is interested in task 0.\nHost 3 is interested in task 4.\nHost 0 is interested in task 2.\nHost 7 is interested in task 7.\nHost 5 is interested in task 0.\nHost 10 is interested in task 4.\nHost 8 is interested in task 1.\nHost 0 is interested in task 5.\nHost 5 is interested in task 1.\nHost 9 is interested in task 7.\nHost 5 is interested in task 10.\nHost 8 is interested in task 2.\nHost 9 is interested in task 11.\nHost 2 is interested in task 11.\nHost 3 is interested in task 10.\nHost 11 is interested in task 4.\nHost 0 is interested in task 3.\nHost 5 is interested in task 4.\nHost 9 is interested in task 10.\nHost 1 is interested in task 8.\nHost 3 is interested in task 11.\nHost 2 is interested in task 7.\nHost 2 is interested in task 3.\nHost 7 is interested in task 0.\nHost 2 is interested in task 5.\nHost 9 is interested in task 5.\nHost 5 is interested in task 9.\nHost 11 is interested in task 1.\nHost 6 is interested in task 9.\nHost 8 is interested in task 10.\nHost 6 is interested in task 3.\nHost 5 is interested in task 8.\nHost 6 is interested in task 6.\nHost 0 is interested in task 9.\nHost 7 is interested in task 2.\nHost 5 is interested in task 6.\nHost 4 is interested in task 2.\nHost 0 is interested in task 7.\nHost 2 is interested in task 0.\nHost 6 is interested in task 4.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph623", "image": "data/matching/graph_visual/hard/graph623.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 12.\nHost 9 is interested in task 9.\nHost 2 is interested in task 1.\nHost 0 is interested in task 2.\nHost 9 is interested in task 7.\nHost 5 is interested in task 13.\nHost 4 is interested in task 10.\nHost 0 is interested in task 4.\nHost 11 is interested in task 5.\nHost 1 is interested in task 9.\nHost 8 is interested in task 0.\nHost 6 is interested in task 14.\nHost 1 is interested in task 4.\nHost 1 is interested in task 10.\nHost 11 is interested in task 9.\nHost 10 is interested in task 0.\nHost 1 is interested in task 13.\nHost 6 is interested in task 1.\nHost 9 is interested in task 6.\nHost 1 is interested in task 2.\nHost 11 is interested in task 11.\nHost 1 is interested in task 12.\nHost 3 is interested in task 2.\nHost 7 is interested in task 7.\nHost 11 is interested in task 6.\nHost 2 is interested in task 5.\nHost 2 is interested in task 3.\nHost 2 is interested in task 8.\nHost 0 is interested in task 3.\nHost 10 is interested in task 11.\nHost 4 is interested in task 14.\nHost 6 is interested in task 9.\nHost 8 is interested in task 11.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 7 is interested in task 9.\nHost 11 is interested in task 12.\nHost 6 is interested in task 2.\nHost 8 is interested in task 13.\nHost 6 is interested in task 4.\nHost 9 is interested in task 8.\nHost 9 is interested in task 10.\nHost 10 is interested in task 2.\nHost 11 is interested in task 10.\nHost 11 is interested in task 3.\nHost 9 is interested in task 3.\nHost 8 is interested in task 9.\nHost 1 is interested in task 11.\nHost 5 is interested in task 12.\nHost 9 is interested in task 12.\nHost 10 is interested in task 3.\nHost 7 is interested in task 5.\nHost 0 is interested in task 8.\nHost 1 is interested in task 1.\nHost 6 is interested in task 8.\nHost 3 is interested in task 5.\nHost 11 is interested in task 8.\nHost 8 is interested in task 1.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph238", "image": "data/matching/graph_visual/hard/graph238.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 7.\nHost 1 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 5.\nHost 5 is interested in task 7.\nHost 5 is interested in task 4.\nHost 8 is interested in task 4.\nHost 4 is interested in task 3.\nHost 2 is interested in task 0.\nHost 4 is interested in task 5.\nHost 10 is interested in task 3.\nHost 10 is interested in task 5.\nHost 5 is interested in task 3.\nHost 8 is interested in task 0.\nHost 3 is interested in task 5.\nHost 3 is interested in task 0.\nHost 3 is interested in task 6.\nHost 4 is interested in task 0.\nHost 6 is interested in task 6.\nHost 5 is interested in task 2.\nHost 8 is interested in task 3.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 7 is interested in task 7.\nHost 4 is interested in task 1.\nHost 10 is interested in task 4.\nHost 7 is interested in task 6.\nHost 1 is interested in task 7.\nHost 1 is interested in task 6.\nHost 9 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 6.\nHost 2 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 4.\nHost 2 is interested in task 5.\nHost 1 is interested in task 2.\nHost 3 is interested in task 7.\nHost 2 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph482", "image": "data/matching/graph_visual/hard/graph482.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 6.\nHost 0 is interested in task 7.\nHost 0 is interested in task 0.\nHost 8 is interested in task 1.\nHost 7 is interested in task 9.\nHost 3 is interested in task 4.\nHost 10 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 4.\nHost 7 is interested in task 7.\nHost 2 is interested in task 0.\nHost 1 is interested in task 4.\nHost 7 is interested in task 0.\nHost 11 is interested in task 5.\nHost 8 is interested in task 6.\nHost 5 is interested in task 8.\nHost 9 is interested in task 3.\nHost 10 is interested in task 4.\nHost 5 is interested in task 0.\nHost 9 is interested in task 4.\nHost 2 is interested in task 9.\nHost 9 is interested in task 1.\nHost 9 is interested in task 9.\nHost 10 is interested in task 6.\nHost 2 is interested in task 7.\nHost 7 is interested in task 5.\nHost 8 is interested in task 9.\nHost 0 is interested in task 2.\nHost 7 is interested in task 2.\nHost 3 is interested in task 5.\nHost 8 is interested in task 4.\nHost 2 is interested in task 3.\nHost 9 is interested in task 10.\nHost 5 is interested in task 6.\nHost 5 is interested in task 1.\nHost 0 is interested in task 8.\nHost 10 is interested in task 3.\nHost 3 is interested in task 9.\nHost 6 is interested in task 9.\nHost 11 is interested in task 8.\nHost 8 is interested in task 8.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph430", "image": "data/matching/graph_visual/hard/graph430.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 0 is interested in task 1.\nHost 2 is interested in task 1.\nHost 3 is interested in task 6.\nHost 1 is interested in task 1.\nHost 6 is interested in task 8.\nHost 1 is interested in task 7.\nHost 4 is interested in task 0.\nHost 0 is interested in task 3.\nHost 8 is interested in task 0.\nHost 5 is interested in task 7.\nHost 7 is interested in task 3.\nHost 10 is interested in task 0.\nHost 2 is interested in task 6.\nHost 8 is interested in task 2.\nHost 7 is interested in task 2.\nHost 7 is interested in task 5.\nHost 3 is interested in task 2.\nHost 11 is interested in task 4.\nHost 5 is interested in task 1.\nHost 8 is interested in task 4.\nHost 9 is interested in task 4.\nHost 0 is interested in task 7.\nHost 9 is interested in task 0.\nHost 3 is interested in task 4.\nHost 0 is interested in task 0.\nHost 3 is interested in task 1.\nHost 8 is interested in task 5.\nHost 11 is interested in task 5.\nHost 5 is interested in task 6.\nHost 0 is interested in task 2.\nHost 0 is interested in task 4.\nHost 9 is interested in task 8.\nHost 2 is interested in task 5.\nHost 3 is interested in task 7.\nHost 2 is interested in task 0.\nHost 10 is interested in task 5.\nHost 9 is interested in task 2.\nHost 8 is interested in task 6.\nHost 11 is interested in task 3.\nHost 3 is interested in task 3.\nHost 11 is interested in task 6.\nHost 8 is interested in task 8.\nHost 9 is interested in task 1.\nHost 0 is interested in task 5.\nHost 1 is interested in task 2.\nHost 4 is interested in task 1.\nHost 2 is interested in task 7.\nHost 5 is interested in task 0.\nHost 8 is interested in task 1.\nHost 6 is interested in task 0.\nHost 4 is interested in task 2.\nHost 1 is interested in task 8.\nHost 10 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph337", "image": "data/matching/graph_visual/hard/graph337.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 0 is interested in task 0.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 10 is interested in task 6.\nHost 6 is interested in task 3.\nHost 2 is interested in task 10.\nHost 4 is interested in task 5.\nHost 10 is interested in task 0.\nHost 2 is interested in task 4.\nHost 0 is interested in task 8.\nHost 4 is interested in task 8.\nHost 10 is interested in task 8.\nHost 9 is interested in task 1.\nHost 2 is interested in task 6.\nHost 8 is interested in task 7.\nHost 1 is interested in task 2.\nHost 3 is interested in task 1.\nHost 9 is interested in task 8.\nHost 8 is interested in task 6.\nHost 3 is interested in task 4.\nHost 6 is interested in task 4.\nHost 8 is interested in task 8.\nHost 6 is interested in task 5.\nHost 10 is interested in task 1.\nHost 10 is interested in task 9.\nHost 1 is interested in task 8.\nHost 5 is interested in task 2.\nHost 5 is interested in task 8.\nHost 0 is interested in task 10.\nHost 3 is interested in task 11.\nHost 0 is interested in task 11.\nHost 4 is interested in task 0.\nHost 4 is interested in task 11.\nHost 10 is interested in task 7.\nHost 8 is interested in task 10.\nHost 3 is interested in task 8.\nHost 9 is interested in task 11.\nHost 0 is interested in task 6.\nHost 1 is interested in task 7.\nHost 0 is interested in task 1.\nHost 4 is interested in task 7.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 4 is interested in task 9.\nHost 10 is interested in task 4.\nHost 10 is interested in task 10.\nHost 3 is interested in task 0.\nHost 2 is interested in task 2.\nHost 6 is interested in task 1.\nHost 7 is interested in task 6.\nHost 9 is interested in task 6.\nHost 5 is interested in task 7.\nHost 8 is interested in task 11.\nHost 1 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 4.\nHost 6 is interested in task 10.\nHost 6 is interested in task 11.\nHost 1 is interested in task 5.\nHost 3 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph109", "image": "data/matching/graph_visual/hard/graph109.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 8.\nHost 5 is interested in task 7.\nHost 1 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 3.\nHost 6 is interested in task 8.\nHost 2 is interested in task 0.\nHost 7 is interested in task 7.\nHost 9 is interested in task 2.\nHost 9 is interested in task 4.\nHost 9 is interested in task 5.\nHost 1 is interested in task 4.\nHost 3 is interested in task 5.\nHost 2 is interested in task 6.\nHost 9 is interested in task 9.\nHost 0 is interested in task 6.\nHost 3 is interested in task 0.\nHost 2 is interested in task 1.\nHost 1 is interested in task 9.\nHost 7 is interested in task 5.\nHost 0 is interested in task 7.\nHost 1 is interested in task 3.\nHost 9 is interested in task 6.\nHost 3 is interested in task 6.\nHost 5 is interested in task 1.\nHost 0 is interested in task 2.\nHost 4 is interested in task 7.\nHost 5 is interested in task 4.\nHost 6 is interested in task 9.\nHost 7 is interested in task 0.\nHost 1 is interested in task 2.\nHost 6 is interested in task 5.\nHost 5 is interested in task 2.\nHost 1 is interested in task 6.\nHost 1 is interested in task 5.\nHost 0 is interested in task 4.\nHost 0 is interested in task 9.\nHost 2 is interested in task 3.\nHost 8 is interested in task 7.\nHost 8 is interested in task 9.\nHost 6 is interested in task 0.\nHost 6 is interested in task 4.\nHost 0 is interested in task 1.\nHost 5 is interested in task 8.\nHost 6 is interested in task 3.\nHost 8 is interested in task 2.\nHost 2 is interested in task 9.\nHost 8 is interested in task 1.\nHost 3 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1163", "image": "data/matching/graph_visual/hard/graph1163.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 11.\nHost 2 is interested in task 10.\nHost 7 is interested in task 8.\nHost 3 is interested in task 8.\nHost 10 is interested in task 10.\nHost 9 is interested in task 7.\nHost 1 is interested in task 3.\nHost 11 is interested in task 9.\nHost 2 is interested in task 4.\nHost 4 is interested in task 3.\nHost 0 is interested in task 13.\nHost 2 is interested in task 14.\nHost 10 is interested in task 1.\nHost 12 is interested in task 12.\nHost 11 is interested in task 1.\nHost 10 is interested in task 4.\nHost 10 is interested in task 12.\nHost 1 is interested in task 1.\nHost 1 is interested in task 12.\nHost 3 is interested in task 2.\nHost 5 is interested in task 5.\nHost 0 is interested in task 12.\nHost 8 is interested in task 7.\nHost 6 is interested in task 12.\nHost 14 is interested in task 5.\nHost 13 is interested in task 10.\nHost 5 is interested in task 8.\nHost 11 is interested in task 6.\nHost 10 is interested in task 5.\nHost 8 is interested in task 14.\nHost 10 is interested in task 13.\nHost 10 is interested in task 2.\nHost 5 is interested in task 13.\nHost 0 is interested in task 5.\nHost 9 is interested in task 12.\nHost 8 is interested in task 9.\nHost 14 is interested in task 6.\nHost 3 is interested in task 0.\nHost 4 is interested in task 14.\nHost 0 is interested in task 7.\nHost 5 is interested in task 0.\nHost 10 is interested in task 7.\nHost 6 is interested in task 3.\nHost 14 is interested in task 13.\nHost 7 is interested in task 4.\nHost 4 is interested in task 10.\nHost 9 is interested in task 3.\nHost 3 is interested in task 6.\nHost 5 is interested in task 6.\nHost 9 is interested in task 8.\nHost 1 is interested in task 2.\nHost 9 is interested in task 13.\nHost 7 is interested in task 9.\nHost 9 is interested in task 10.\nHost 0 is interested in task 11.\nHost 8 is interested in task 6.\nHost 2 is interested in task 11.\nHost 11 is interested in task 13.\nHost 6 is interested in task 13.\nHost 6 is interested in task 14.\nHost 11 is interested in task 5.\nHost 0 is interested in task 10.\nHost 12 is interested in task 14.\nHost 4 is interested in task 2.\nHost 12 is interested in task 6.\nHost 4 is interested in task 0.\nHost 5 is interested in task 10.\nHost 6 is interested in task 5.\nHost 0 is interested in task 0.\nHost 4 is interested in task 11.\nHost 8 is interested in task 0.\nHost 8 is interested in task 10.\nHost 10 is interested in task 9.\nHost 3 is interested in task 13.\nHost 13 is interested in task 13.\nHost 6 is interested in task 0.\nHost 9 is interested in task 1.\nHost 11 is interested in task 2.\nHost 12 is interested in task 3.\nHost 0 is interested in task 2.\nHost 2 is interested in task 2.\nHost 11 is interested in task 0.\nHost 2 is interested in task 8.\nHost 8 is interested in task 8.\nHost 14 is interested in task 12.\nHost 5 is interested in task 14.\nHost 0 is interested in task 14.\nHost 5 is interested in task 9.\nHost 11 is interested in task 11.\nHost 5 is interested in task 12.\nHost 12 is interested in task 5.\nHost 0 is interested in task 4.\nHost 1 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph334", "image": "data/matching/graph_visual/hard/graph334.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 11.\nHost 9 is interested in task 9.\nHost 0 is interested in task 3.\nHost 6 is interested in task 10.\nHost 3 is interested in task 10.\nHost 4 is interested in task 1.\nHost 5 is interested in task 6.\nHost 0 is interested in task 7.\nHost 0 is interested in task 0.\nHost 4 is interested in task 7.\nHost 10 is interested in task 1.\nHost 6 is interested in task 3.\nHost 9 is interested in task 5.\nHost 2 is interested in task 11.\nHost 6 is interested in task 7.\nHost 6 is interested in task 4.\nHost 8 is interested in task 11.\nHost 4 is interested in task 2.\nHost 2 is interested in task 3.\nHost 5 is interested in task 9.\nHost 3 is interested in task 11.\nHost 8 is interested in task 10.\nHost 9 is interested in task 2.\nHost 2 is interested in task 5.\nHost 10 is interested in task 8.\nHost 1 is interested in task 1.\nHost 5 is interested in task 3.\nHost 3 is interested in task 2.\nHost 10 is interested in task 11.\nHost 1 is interested in task 4.\nHost 6 is interested in task 0.\nHost 5 is interested in task 1.\nHost 6 is interested in task 9.\nHost 2 is interested in task 8.\nHost 7 is interested in task 2.\nHost 7 is interested in task 10.\nHost 0 is interested in task 9.\nHost 7 is interested in task 11.\nHost 2 is interested in task 7.\nHost 1 is interested in task 5.\nHost 2 is interested in task 9.\nHost 8 is interested in task 8.\nHost 4 is interested in task 6.\nHost 2 is interested in task 6.\nHost 6 is interested in task 6.\nHost 10 is interested in task 5.\nHost 2 is interested in task 0.\nHost 1 is interested in task 2.\nHost 10 is interested in task 10.\nHost 10 is interested in task 0.\nHost 5 is interested in task 2.\nHost 7 is interested in task 7.\nHost 4 is interested in task 3.\nHost 2 is interested in task 4.\nHost 9 is interested in task 1.\nHost 9 is interested in task 3.\nHost 2 is interested in task 10.\nHost 7 is interested in task 5.\nHost 4 is interested in task 8.\nHost 0 is interested in task 5.\nHost 8 is interested in task 9.\nHost 3 is interested in task 8.\nHost 0 is interested in task 8.\nHost 2 is interested in task 1.\nHost 6 is interested in task 1.\nHost 4 is interested in task 10.\nHost 10 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph699", "image": "data/matching/graph_visual/hard/graph699.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 7.\nHost 9 is interested in task 11.\nHost 2 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 3.\nHost 12 is interested in task 4.\nHost 4 is interested in task 7.\nHost 8 is interested in task 3.\nHost 12 is interested in task 3.\nHost 2 is interested in task 8.\nHost 5 is interested in task 0.\nHost 3 is interested in task 4.\nHost 8 is interested in task 4.\nHost 12 is interested in task 5.\nHost 8 is interested in task 0.\nHost 4 is interested in task 5.\nHost 3 is interested in task 10.\nHost 2 is interested in task 5.\nHost 8 is interested in task 2.\nHost 4 is interested in task 0.\nHost 7 is interested in task 4.\nHost 0 is interested in task 1.\nHost 5 is interested in task 4.\nHost 2 is interested in task 11.\nHost 8 is interested in task 11.\nHost 4 is interested in task 3.\nHost 9 is interested in task 6.\nHost 2 is interested in task 10.\nHost 10 is interested in task 6.\nHost 12 is interested in task 7.\nHost 9 is interested in task 7.\nHost 6 is interested in task 3.\nHost 9 is interested in task 9.\nHost 0 is interested in task 0.\nHost 0 is interested in task 5.\nHost 5 is interested in task 2.\nHost 2 is interested in task 1.\nHost 12 is interested in task 2.\nHost 6 is interested in task 10.\nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 3 is interested in task 3.\nHost 12 is interested in task 9.\nHost 5 is interested in task 8.\nHost 4 is interested in task 9.\nHost 7 is interested in task 5.\nHost 10 is interested in task 8.\nHost 5 is interested in task 6.\nHost 8 is interested in task 9.\nHost 10 is interested in task 9.\nHost 9 is interested in task 5.\nHost 6 is interested in task 2.\nHost 2 is interested in task 0.\nHost 4 is interested in task 11.\nHost 0 is interested in task 8.\nHost 2 is interested in task 9.\nHost 2 is interested in task 3.\nHost 8 is interested in task 5.\nHost 6 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph933", "image": "data/matching/graph_visual/hard/graph933.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 7.\nHost 10 is interested in task 13.\nHost 9 is interested in task 10.\nHost 0 is interested in task 1.\nHost 10 is interested in task 9.\nHost 2 is interested in task 0.\nHost 0 is interested in task 12.\nHost 12 is interested in task 13.\nHost 0 is interested in task 9.\nHost 12 is interested in task 11.\nHost 11 is interested in task 11.\nHost 9 is interested in task 2.\nHost 10 is interested in task 4.\nHost 3 is interested in task 12.\nHost 2 is interested in task 12.\nHost 8 is interested in task 12.\nHost 2 is interested in task 5.\nHost 10 is interested in task 12.\nHost 2 is interested in task 11.\nHost 0 is interested in task 7.\nHost 4 is interested in task 3.\nHost 12 is interested in task 5.\nHost 5 is interested in task 0.\nHost 8 is interested in task 3.\nHost 4 is interested in task 13.\nHost 11 is interested in task 6.\nHost 1 is interested in task 2.\nHost 4 is interested in task 12.\nHost 11 is interested in task 5.\nHost 7 is interested in task 13.\nHost 6 is interested in task 13.\nHost 0 is interested in task 6.\nHost 12 is interested in task 3.\nHost 13 is interested in task 1.\nHost 5 is interested in task 11.\nHost 7 is interested in task 2.\nHost 8 is interested in task 4.\nHost 3 is interested in task 5.\nHost 5 is interested in task 1.\nHost 9 is interested in task 9.\nHost 12 is interested in task 6.\nHost 1 is interested in task 4.\nHost 8 is interested in task 9.\nHost 11 is interested in task 10.\nHost 9 is interested in task 6.\nHost 12 is interested in task 12.\nHost 7 is interested in task 0.\nHost 5 is interested in task 3.\nHost 12 is interested in task 1.\nHost 1 is interested in task 6.\nHost 11 is interested in task 12.\nHost 0 is interested in task 3.\nHost 13 is interested in task 4.\nHost 2 is interested in task 10.\nHost 12 is interested in task 8.\nHost 12 is interested in task 4.\nHost 5 is interested in task 12.\nHost 9 is interested in task 5.\nHost 9 is interested in task 4.\nHost 5 is interested in task 2.\nHost 10 is interested in task 11.\nHost 1 is interested in task 7.\nHost 0 is interested in task 0.\nHost 4 is interested in task 9.\nHost 3 is interested in task 8.\nHost 6 is interested in task 0.\nHost 1 is interested in task 3.\nHost 2 is interested in task 4.\nHost 0 is interested in task 11.\nHost 2 is interested in task 2.\nHost 11 is interested in task 7.\nHost 7 is interested in task 4.\nHost 1 is interested in task 9.\nHost 1 is interested in task 10.\nHost 7 is interested in task 9.\nHost 5 is interested in task 13.\nHost 3 is interested in task 10.\nHost 6 is interested in task 8.\nHost 7 is interested in task 5.\nHost 1 is interested in task 13.\nHost 12 is interested in task 2.\nHost 10 is interested in task 8.\nHost 9 is interested in task 1.\nHost 13 is interested in task 3.\nHost 13 is interested in task 5.\nHost 2 is interested in task 6.\nHost 4 is interested in task 11.\nHost 6 is interested in task 5.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph1082", "image": "data/matching/graph_visual/hard/graph1082.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in: \nHost 13 is interested in task 7.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 2 is interested in task 11.\nHost 11 is interested in task 2.\nHost 14 is interested in task 2.\nHost 0 is interested in task 10.\nHost 7 is interested in task 9.\nHost 0 is interested in task 4.\nHost 14 is interested in task 1.\nHost 3 is interested in task 12.\nHost 2 is interested in task 8.\nHost 1 is interested in task 9.\nHost 1 is interested in task 1.\nHost 13 is interested in task 10.\nHost 9 is interested in task 0.\nHost 12 is interested in task 1.\nHost 13 is interested in task 2.\nHost 6 is interested in task 6.\nHost 10 is interested in task 3.\nHost 14 is interested in task 5.\nHost 6 is interested in task 8.\nHost 8 is interested in task 2.\nHost 7 is interested in task 0.\nHost 8 is interested in task 1.\nHost 4 is interested in task 11.\nHost 2 is interested in task 10.\nHost 2 is interested in task 3.\nHost 4 is interested in task 6.\nHost 7 is interested in task 11.\nHost 12 is interested in task 2.\nHost 11 is interested in task 9.\nHost 9 is interested in task 12.\nHost 1 is interested in task 8.\nHost 11 is interested in task 8.\nHost 12 is interested in task 11.\nHost 13 is interested in task 0.\nHost 8 is interested in task 8.\nHost 5 is interested in task 8.\nHost 4 is interested in task 10.\nHost 1 is interested in task 4.\nHost 12 is interested in task 12.\nHost 9 is interested in task 1.\nHost 7 is interested in task 3.\nHost 2 is interested in task 6.\nHost 9 is interested in task 6.\nHost 14 is interested in task 0.\nHost 3 is interested in task 6.\nHost 10 is interested in task 1.\nHost 14 is interested in task 8.\nHost 10 is interested in task 12.\nHost 9 is interested in task 7.\nHost 6 is interested in task 10.\nHost 4 is interested in task 7.\nHost 4 is interested in task 2.\nHost 11 is interested in task 5.\nHost 9 is interested in task 3.\nHost 8 is interested in task 10.\nHost 4 is interested in task 0.\nHost 3 is interested in task 0.\nHost 3 is interested in task 9.\nHost 2 is interested in task 5.\nHost 5 is interested in task 0.\nHost 8 is interested in task 5.\nHost 12 is interested in task 8.\nHost 10 is interested in task 5.\nHost 9 is interested in task 4.\nHost 5 is interested in task 12.\nHost 7 is interested in task 2.\nHost 12 is interested in task 10.\nHost 3 is interested in task 10.\nHost 14 is interested in task 11.\nHost 2 is interested in task 9.\nHost 3 is interested in task 8.\nHost 0 is interested in task 8.\nHost 6 is interested in task 9.\nHost 1 is interested in task 11.\nHost 0 is interested in task 0.\nHost 8 is interested in task 6.\nHost 6 is interested in task 12.\nHost 0 is interested in task 11.\nHost 10 is interested in task 2.\nHost 5 is interested in task 6.\nHost 14 is interested in task 3.\nHost 3 is interested in task 1.\nHost 7 is interested in task 1.\nHost 8 is interested in task 0.\nHost 12 is interested in task 3.\nHost 11 is interested in task 7.\nHost 3 is interested in task 7.\nHost 5 is interested in task 3.\nHost 7 is interested in task 10.\nHost 10 is interested in task 11.\nHost 6 is interested in task 3.\nHost 6 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "13." } ] }, { "id": "matching-hard-graph16", "image": "data/matching/graph_visual/hard/graph16.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 4 is interested in task 1.\nHost 1 is interested in task 4.\nHost 0 is interested in task 5.\nHost 1 is interested in task 0.\nHost 8 is interested in task 6.\nHost 1 is interested in task 5.\nHost 8 is interested in task 3.\nHost 8 is interested in task 5.\nHost 9 is interested in task 4.\nHost 5 is interested in task 5.\nHost 2 is interested in task 3.\nHost 1 is interested in task 1.\nHost 8 is interested in task 4.\nHost 3 is interested in task 3.\nHost 1 is interested in task 2.\nHost 4 is interested in task 2.\nHost 7 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 1.\nHost 6 is interested in task 4.\nHost 9 is interested in task 1.\nHost 0 is interested in task 6.\nHost 9 is interested in task 2.\nHost 3 is interested in task 4.\nHost 0 is interested in task 4.\nHost 6 is interested in task 1.\nHost 1 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "7." } ] }, { "id": "matching-hard-graph702", "image": "data/matching/graph_visual/hard/graph702.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 7 is interested in task 11.\nHost 0 is interested in task 0.\nHost 11 is interested in task 6.\nHost 6 is interested in task 10.\nHost 12 is interested in task 5.\nHost 0 is interested in task 5.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 11 is interested in task 7.\nHost 10 is interested in task 5.\nHost 9 is interested in task 6.\nHost 8 is interested in task 8.\nHost 0 is interested in task 4.\nHost 3 is interested in task 6.\nHost 12 is interested in task 7.\nHost 1 is interested in task 3.\nHost 0 is interested in task 8.\nHost 11 is interested in task 5.\nHost 9 is interested in task 7.\nHost 12 is interested in task 4.\nHost 9 is interested in task 5.\nHost 12 is interested in task 8.\nHost 9 is interested in task 4.\nHost 4 is interested in task 3.\nHost 6 is interested in task 1.\nHost 3 is interested in task 2.\nHost 7 is interested in task 3.\nHost 7 is interested in task 10.\nHost 2 is interested in task 8.\nHost 12 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 10.\nHost 0 is interested in task 11.\nHost 5 is interested in task 0.\nHost 6 is interested in task 4.\nHost 8 is interested in task 6.\nHost 4 is interested in task 9.\nHost 2 is interested in task 6.\nHost 8 is interested in task 3.\nHost 10 is interested in task 2.\nHost 11 is interested in task 10.\nHost 2 is interested in task 5.\nHost 12 is interested in task 3.\nHost 4 is interested in task 1.\nHost 10 is interested in task 10.\nHost 7 is interested in task 8.\nHost 5 is interested in task 9.\nHost 6 is interested in task 7.\nHost 0 is interested in task 6.\nHost 4 is interested in task 6.\nHost 1 is interested in task 4.\nHost 4 is interested in task 11.\nHost 0 is interested in task 1.\nHost 8 is interested in task 4.\nHost 6 is interested in task 3.\nHost 5 is interested in task 7.\nHost 5 is interested in task 1.\nHost 12 is interested in task 9.\nHost 5 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1222", "image": "data/matching/graph_visual/hard/graph1222.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 3 is interested in task 1.\nHost 1 is interested in task 5.\nHost 13 is interested in task 5.\nHost 4 is interested in task 15.\nHost 13 is interested in task 16.\nHost 8 is interested in task 13.\nHost 13 is interested in task 13.\nHost 9 is interested in task 1.\nHost 13 is interested in task 8.\nHost 1 is interested in task 12.\nHost 6 is interested in task 6.\nHost 8 is interested in task 15.\nHost 5 is interested in task 12.\nHost 4 is interested in task 13.\nHost 13 is interested in task 15.\nHost 11 is interested in task 11.\nHost 2 is interested in task 12.\nHost 6 is interested in task 11.\nHost 2 is interested in task 14.\nHost 1 is interested in task 9.\nHost 7 is interested in task 3.\nHost 12 is interested in task 1.\nHost 6 is interested in task 8.\nHost 1 is interested in task 3.\nHost 10 is interested in task 9.\nHost 8 is interested in task 12.\nHost 14 is interested in task 2.\nHost 0 is interested in task 12.\nHost 12 is interested in task 8.\nHost 10 is interested in task 6.\nHost 1 is interested in task 11.\nHost 0 is interested in task 3.\nHost 14 is interested in task 11.\nHost 10 is interested in task 0.\nHost 4 is interested in task 8.\nHost 12 is interested in task 16.\nHost 4 is interested in task 6.\nHost 6 is interested in task 1.\nHost 1 is interested in task 10.\nHost 0 is interested in task 8.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 7 is interested in task 14.\nHost 7 is interested in task 16.\nHost 2 is interested in task 9.\nHost 13 is interested in task 10.\nHost 6 is interested in task 10.\nHost 6 is interested in task 9.\nHost 2 is interested in task 5.\nHost 10 is interested in task 11.\nHost 2 is interested in task 13.\nHost 10 is interested in task 2.\nHost 4 is interested in task 2.\nHost 6 is interested in task 3.\nHost 3 is interested in task 3.\nHost 0 is interested in task 7.\nHost 6 is interested in task 14.\nHost 4 is interested in task 10.\nHost 0 is interested in task 1.\nHost 0 is interested in task 6.\nHost 3 is interested in task 4.\nHost 4 is interested in task 3.\nHost 10 is interested in task 7.\nHost 2 is interested in task 1.\nHost 1 is interested in task 13.\nHost 1 is interested in task 14.\nHost 3 is interested in task 2.\nHost 3 is interested in task 11.\nHost 3 is interested in task 13.\nHost 4 is interested in task 4.\nHost 6 is interested in task 12.\nHost 2 is interested in task 4.\nHost 13 is interested in task 2.\nHost 3 is interested in task 16.\nHost 14 is interested in task 3.\nHost 13 is interested in task 12.\nHost 3 is interested in task 5.\nHost 9 is interested in task 4.\nHost 0 is interested in task 13.\nHost 9 is interested in task 6.\nHost 10 is interested in task 3.\nHost 2 is interested in task 10.\nHost 1 is interested in task 7.\nHost 10 is interested in task 5.\nHost 13 is interested in task 3.\nHost 0 is interested in task 9.\nHost 11 is interested in task 9.\nHost 1 is interested in task 15.\nHost 11 is interested in task 14.\nHost 13 is interested in task 4.\nHost 7 is interested in task 2.\nHost 13 is interested in task 11.\nHost 8 is interested in task 4.\nHost 5 is interested in task 15.\nHost 1 is interested in task 6.\nHost 8 is interested in task 5.\nHost 6 is interested in task 13.\nHost 10 is interested in task 13. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph685", "image": "data/matching/graph_visual/hard/graph685.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 7.\nHost 7 is interested in task 6.\nHost 7 is interested in task 7.\nHost 4 is interested in task 7.\nHost 1 is interested in task 6.\nHost 9 is interested in task 1.\nHost 2 is interested in task 2.\nHost 12 is interested in task 0.\nHost 11 is interested in task 3.\nHost 9 is interested in task 8.\nHost 2 is interested in task 0.\nHost 1 is interested in task 0.\nHost 3 is interested in task 7.\nHost 8 is interested in task 3.\nHost 3 is interested in task 10.\nHost 2 is interested in task 6.\nHost 6 is interested in task 8.\nHost 8 is interested in task 8.\nHost 0 is interested in task 10.\nHost 7 is interested in task 10.\nHost 9 is interested in task 10.\nHost 0 is interested in task 6.\nHost 11 is interested in task 4.\nHost 12 is interested in task 10.\nHost 9 is interested in task 0.\nHost 10 is interested in task 6.\nHost 8 is interested in task 9.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 10 is interested in task 8.\nHost 3 is interested in task 8.\nHost 10 is interested in task 4.\nHost 11 is interested in task 7.\nHost 12 is interested in task 6.\nHost 1 is interested in task 3.\nHost 9 is interested in task 7.\nHost 0 is interested in task 9.\nHost 8 is interested in task 4.\nHost 11 is interested in task 0.\nHost 10 is interested in task 0.\nHost 0 is interested in task 5.\nHost 11 is interested in task 10.\nHost 9 is interested in task 6.\nHost 4 is interested in task 5.\nHost 8 is interested in task 5.\nHost 12 is interested in task 3.\nHost 5 is interested in task 9.\nHost 10 is interested in task 10.\nHost 3 is interested in task 3.\nHost 10 is interested in task 1.\nHost 3 is interested in task 2.\nHost 10 is interested in task 7.\nHost 1 is interested in task 7.\nHost 1 is interested in task 9.\nHost 0 is interested in task 7.\nHost 6 is interested in task 5.\nHost 6 is interested in task 4.\nHost 1 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph1114", "image": "data/matching/graph_visual/hard/graph1114.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 12 is interested in task 12.\nHost 6 is interested in task 3.\nHost 1 is interested in task 0.\nHost 7 is interested in task 7.\nHost 9 is interested in task 11.\nHost 11 is interested in task 13.\nHost 6 is interested in task 4.\nHost 2 is interested in task 11.\nHost 12 is interested in task 6.\nHost 10 is interested in task 0.\nHost 2 is interested in task 1.\nHost 3 is interested in task 11.\nHost 11 is interested in task 9.\nHost 2 is interested in task 4.\nHost 10 is interested in task 1.\nHost 13 is interested in task 5.\nHost 3 is interested in task 3.\nHost 10 is interested in task 10.\nHost 2 is interested in task 5.\nHost 10 is interested in task 2.\nHost 3 is interested in task 12.\nHost 13 is interested in task 4.\nHost 5 is interested in task 2.\nHost 7 is interested in task 13.\nHost 11 is interested in task 12.\nHost 3 is interested in task 4.\nHost 10 is interested in task 9.\nHost 12 is interested in task 11.\nHost 8 is interested in task 8.\nHost 12 is interested in task 13.\nHost 5 is interested in task 12.\nHost 3 is interested in task 6.\nHost 1 is interested in task 13.\nHost 2 is interested in task 0.\nHost 14 is interested in task 12.\nHost 12 is interested in task 2.\nHost 9 is interested in task 10.\nHost 0 is interested in task 12.\nHost 7 is interested in task 10.\nHost 4 is interested in task 1.\nHost 12 is interested in task 1.\nHost 11 is interested in task 3.\nHost 8 is interested in task 2.\nHost 2 is interested in task 10.\nHost 4 is interested in task 13.\nHost 0 is interested in task 2.\nHost 5 is interested in task 1.\nHost 4 is interested in task 7.\nHost 7 is interested in task 12.\nHost 2 is interested in task 12.\nHost 3 is interested in task 1.\nHost 6 is interested in task 2.\nHost 10 is interested in task 8.\nHost 11 is interested in task 1.\nHost 4 is interested in task 2.\nHost 12 is interested in task 10.\nHost 11 is interested in task 11.\nHost 12 is interested in task 8.\nHost 10 is interested in task 6.\nHost 7 is interested in task 1.\nHost 7 is interested in task 11.\nHost 10 is interested in task 3.\nHost 9 is interested in task 12.\nHost 8 is interested in task 12.\nHost 2 is interested in task 7.\nHost 7 is interested in task 2.\nHost 0 is interested in task 10.\nHost 8 is interested in task 6.\nHost 2 is interested in task 3.\nHost 10 is interested in task 4.\nHost 14 is interested in task 2.\nHost 14 is interested in task 0.\nHost 14 is interested in task 9.\nHost 7 is interested in task 8.\nHost 12 is interested in task 4.\nHost 10 is interested in task 11.\nHost 6 is interested in task 5.\nHost 13 is interested in task 0.\nHost 11 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph668", "image": "data/matching/graph_visual/hard/graph668.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 9.\nHost 1 is interested in task 6.\nHost 0 is interested in task 10.\nHost 11 is interested in task 6.\nHost 9 is interested in task 4.\nHost 1 is interested in task 5.\nHost 6 is interested in task 1.\nHost 6 is interested in task 10.\nHost 3 is interested in task 4.\nHost 3 is interested in task 9.\nHost 10 is interested in task 5.\nHost 0 is interested in task 5.\nHost 5 is interested in task 8.\nHost 10 is interested in task 0.\nHost 6 is interested in task 0.\nHost 6 is interested in task 4.\nHost 0 is interested in task 4.\nHost 5 is interested in task 6.\nHost 11 is interested in task 4.\nHost 5 is interested in task 2.\nHost 5 is interested in task 1.\nHost 10 is interested in task 10.\nHost 9 is interested in task 7.\nHost 0 is interested in task 9.\nHost 9 is interested in task 9.\nHost 2 is interested in task 5.\nHost 10 is interested in task 1.\nHost 4 is interested in task 9.\nHost 12 is interested in task 4.\nHost 0 is interested in task 1.\nHost 12 is interested in task 7.\nHost 4 is interested in task 7.\nHost 11 is interested in task 1.\nHost 2 is interested in task 0.\nHost 7 is interested in task 10.\nHost 4 is interested in task 5.\nHost 0 is interested in task 3.\nHost 4 is interested in task 10.\nHost 4 is interested in task 0.\nHost 11 is interested in task 2.\nHost 3 is interested in task 3.\nHost 10 is interested in task 3.\nHost 11 is interested in task 0.\nHost 4 is interested in task 1.\nHost 12 is interested in task 3.\nHost 11 is interested in task 3.\nHost 6 is interested in task 5.\nHost 9 is interested in task 5.\nHost 9 is interested in task 6.\nHost 1 is interested in task 7.\nHost 1 is interested in task 10.\nHost 0 is interested in task 6.\nHost 0 is interested in task 7.\nHost 5 is interested in task 5.\nHost 8 is interested in task 7.\nHost 9 is interested in task 1.\nHost 5 is interested in task 0.\nHost 2 is interested in task 7.\nHost 7 is interested in task 1.\nHost 5 is interested in task 3.\nHost 0 is interested in task 0.\nHost 2 is interested in task 8.\nHost 12 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph635", "image": "data/matching/graph_visual/hard/graph635.png", "conversations": [ { "from": "human", "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 2.\nHost 0 is interested in task 3.\nHost 7 is interested in task 3.\nHost 8 is interested in task 2.\nHost 1 is interested in task 6.\nHost 7 is interested in task 1.\nHost 9 is interested in task 4.\nHost 4 is interested in task 6.\nHost 4 is interested in task 7.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 6 is interested in task 5.\nHost 0 is interested in task 6.\nHost 1 is interested in task 2.\nHost 2 is interested in task 5.\nHost 12 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 9.\nHost 0 is interested in task 7.\nHost 8 is interested in task 1.\nHost 4 is interested in task 3.\nHost 12 is interested in task 1.\nHost 9 is interested in task 0.\nHost 3 is interested in task 9.\nHost 7 is interested in task 5.\nHost 8 is interested in task 4.\nHost 7 is interested in task 0.\nHost 11 is interested in task 0.\nHost 7 is interested in task 4.\nHost 1 is interested in task 8.\nHost 6 is interested in task 6.\nHost 10 is interested in task 8.\nHost 2 is interested in task 4.\nHost 1 is interested in task 3.\nHost 8 is interested in task 3.\nHost 6 is interested in task 0.\nHost 3 is interested in task 7.\nHost 9 is interested in task 8.\nHost 2 is interested in task 1.\nHost 10 is interested in task 4.\nHost 11 is interested in task 7.\nHost 5 is interested in task 1.\nHost 4 is interested in task 9.\nHost 12 is interested in task 7.\nHost 5 is interested in task 4.\nHost 3 is interested in task 5.\nHost 12 is interested in task 2.\nHost 0 is interested in task 9.\nHost 7 is interested in task 2.\nHost 11 is interested in task 5.\nHost 0 is interested in task 4.\nHost 6 is interested in task 3.\nHost 0 is interested in task 0.\nHost 11 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1032", "image": "data/matching/graph_visual/hard/graph1032.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 11.\nHost 10 is interested in task 11.\nHost 8 is interested in task 8.\nHost 7 is interested in task 12.\nHost 1 is interested in task 10.\nHost 5 is interested in task 16.\nHost 11 is interested in task 13.\nHost 5 is interested in task 6.\nHost 0 is interested in task 1.\nHost 3 is interested in task 0.\nHost 6 is interested in task 10.\nHost 11 is interested in task 10.\nHost 3 is interested in task 5.\nHost 13 is interested in task 1.\nHost 0 is interested in task 0.\nHost 4 is interested in task 15.\nHost 1 is interested in task 15.\nHost 12 is interested in task 8.\nHost 13 is interested in task 15.\nHost 13 is interested in task 0.\nHost 13 is interested in task 13.\nHost 5 is interested in task 7.\nHost 4 is interested in task 9.\nHost 11 is interested in task 1.\nHost 2 is interested in task 3.\nHost 0 is interested in task 14.\nHost 10 is interested in task 2.\nHost 5 is interested in task 0.\nHost 10 is interested in task 1.\nHost 8 is interested in task 16.\nHost 10 is interested in task 4.\nHost 12 is interested in task 12.\nHost 2 is interested in task 14.\nHost 6 is interested in task 6.\nHost 8 is interested in task 11.\nHost 6 is interested in task 3.\nHost 6 is interested in task 0.\nHost 8 is interested in task 13.\nHost 4 is interested in task 8.\nHost 4 is interested in task 3.\nHost 4 is interested in task 11.\nHost 4 is interested in task 4.\nHost 11 is interested in task 9.\nHost 12 is interested in task 14.\nHost 4 is interested in task 16.\nHost 2 is interested in task 4.\nHost 9 is interested in task 4.\nHost 8 is interested in task 10.\nHost 3 is interested in task 1.\nHost 2 is interested in task 5.\nHost 3 is interested in task 8.\nHost 10 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 11.\nHost 5 is interested in task 9.\nHost 13 is interested in task 2.\nHost 4 is interested in task 7.\nHost 4 is interested in task 6.\nHost 1 is interested in task 12.\nHost 11 is interested in task 0.\nHost 9 is interested in task 13.\nHost 12 is interested in task 10.\nHost 11 is interested in task 16.\nHost 6 is interested in task 11.\nHost 0 is interested in task 5.\nHost 4 is interested in task 12.\nHost 2 is interested in task 11.\nHost 3 is interested in task 16.\nHost 12 is interested in task 0.\nHost 13 is interested in task 7.\nHost 6 is interested in task 5.\nHost 1 is interested in task 8.\nHost 6 is interested in task 9.\nHost 5 is interested in task 1.\nHost 11 is interested in task 8.\nHost 12 is interested in task 3.\nHost 2 is interested in task 1.\nHost 5 is interested in task 8.\nHost 3 is interested in task 9.\nHost 0 is interested in task 10.\nHost 12 is interested in task 16.\nHost 0 is interested in task 12.\nHost 5 is interested in task 13.\nHost 5 is interested in task 4.\nHost 0 is interested in task 16.\nHost 12 is interested in task 9.\nHost 5 is interested in task 5.\nHost 4 is interested in task 1.\nHost 11 is interested in task 5.\nHost 0 is interested in task 13.\nHost 3 is interested in task 3.\nHost 0 is interested in task 3.\nHost 1 is interested in task 6.\nHost 1 is interested in task 3.\nHost 8 is interested in task 14.\nHost 5 is interested in task 15.\nHost 9 is interested in task 9.\nHost 8 is interested in task 2.\nHost 8 is interested in task 0.\nHost 9 is interested in task 11.\nHost 0 is interested in task 9.\nHost 12 is interested in task 15.\nHost 10 is interested in task 16.\nHost 5 is interested in task 10.\nHost 8 is interested in task 1.\nHost 6 is interested in task 8.\nHost 0 is interested in task 11.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 2 is interested in task 6.\nHost 4 is interested in task 5.\nHost 7 is interested in task 14.\nHost 6 is interested in task 13.\nHost 6 is interested in task 4.\nHost 3 is interested in task 7.\nHost 12 is interested in task 6.\nHost 8 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph141", "image": "data/matching/graph_visual/hard/graph141.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 3.\nHost 5 is interested in task 9.\nHost 6 is interested in task 4.\nHost 9 is interested in task 5.\nHost 7 is interested in task 9.\nHost 7 is interested in task 4.\nHost 0 is interested in task 3.\nHost 7 is interested in task 6.\nHost 2 is interested in task 0.\nHost 2 is interested in task 5.\nHost 8 is interested in task 1.\nHost 1 is interested in task 0.\nHost 1 is interested in task 7.\nHost 1 is interested in task 3.\nHost 3 is interested in task 4.\nHost 8 is interested in task 6.\nHost 9 is interested in task 4.\nHost 1 is interested in task 8.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 2 is interested in task 1.\nHost 6 is interested in task 10.\nHost 0 is interested in task 7.\nHost 7 is interested in task 8.\nHost 1 is interested in task 4.\nHost 2 is interested in task 10.\nHost 2 is interested in task 6.\nHost 6 is interested in task 2.\nHost 4 is interested in task 6.\nHost 7 is interested in task 10.\nHost 0 is interested in task 1.\nHost 3 is interested in task 2.\nHost 4 is interested in task 10.\nHost 9 is interested in task 10.\nHost 1 is interested in task 1.\nHost 8 is interested in task 0.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 8 is interested in task 3.\nHost 9 is interested in task 0.\nHost 1 is interested in task 6.\nHost 0 is interested in task 4.\nHost 1 is interested in task 2.\nHost 4 is interested in task 2.\nHost 0 is interested in task 2.\nHost 2 is interested in task 7.\nHost 4 is interested in task 4.\nHost 0 is interested in task 6.\nHost 0 is interested in task 8.\nHost 0 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph1211", "image": "data/matching/graph_visual/hard/graph1211.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 9.\nHost 14 is interested in task 3.\nHost 3 is interested in task 5.\nHost 13 is interested in task 7.\nHost 10 is interested in task 11.\nHost 2 is interested in task 15.\nHost 10 is interested in task 1.\nHost 1 is interested in task 10.\nHost 6 is interested in task 13.\nHost 10 is interested in task 7.\nHost 10 is interested in task 14.\nHost 7 is interested in task 8.\nHost 11 is interested in task 5.\nHost 11 is interested in task 3.\nHost 4 is interested in task 12.\nHost 1 is interested in task 6.\nHost 4 is interested in task 11.\nHost 2 is interested in task 8.\nHost 8 is interested in task 10.\nHost 1 is interested in task 11.\nHost 5 is interested in task 15.\nHost 5 is interested in task 11.\nHost 11 is interested in task 16.\nHost 14 is interested in task 15.\nHost 2 is interested in task 4.\nHost 14 is interested in task 1.\nHost 6 is interested in task 9.\nHost 4 is interested in task 4.\nHost 14 is interested in task 6.\nHost 9 is interested in task 5.\nHost 4 is interested in task 3.\nHost 14 is interested in task 14.\nHost 3 is interested in task 8.\nHost 10 is interested in task 9.\nHost 4 is interested in task 5.\nHost 13 is interested in task 0.\nHost 6 is interested in task 4.\nHost 2 is interested in task 6.\nHost 12 is interested in task 2.\nHost 9 is interested in task 9.\nHost 12 is interested in task 12.\nHost 6 is interested in task 8.\nHost 10 is interested in task 6.\nHost 6 is interested in task 2.\nHost 5 is interested in task 16.\nHost 12 is interested in task 8.\nHost 14 is interested in task 16.\nHost 9 is interested in task 10.\nHost 14 is interested in task 5.\nHost 8 is interested in task 11.\nHost 10 is interested in task 5.\nHost 2 is interested in task 2.\nHost 0 is interested in task 14.\nHost 3 is interested in task 6.\nHost 12 is interested in task 11.\nHost 2 is interested in task 7.\nHost 7 is interested in task 6.\nHost 1 is interested in task 16.\nHost 4 is interested in task 7.\nHost 13 is interested in task 15.\nHost 9 is interested in task 16.\nHost 0 is interested in task 6.\nHost 9 is interested in task 7.\nHost 12 is interested in task 15.\nHost 3 is interested in task 2.\nHost 3 is interested in task 4.\nHost 11 is interested in task 14.\nHost 6 is interested in task 7.\nHost 3 is interested in task 14.\nHost 9 is interested in task 13.\nHost 7 is interested in task 15.\nHost 8 is interested in task 4.\nHost 0 is interested in task 16.\nHost 12 is interested in task 4.\nHost 12 is interested in task 14.\nHost 12 is interested in task 1.\nHost 0 is interested in task 1.\nHost 1 is interested in task 12.\nHost 12 is interested in task 7.\nHost 13 is interested in task 6.\nHost 3 is interested in task 9.\nHost 4 is interested in task 2.\nHost 8 is interested in task 1.\nHost 10 is interested in task 13.\nHost 0 is interested in task 10.\nHost 11 is interested in task 11.\nHost 1 is interested in task 8.\nHost 0 is interested in task 7.\nHost 3 is interested in task 10.\nHost 10 is interested in task 10.\nHost 4 is interested in task 1.\nHost 3 is interested in task 7.\nHost 8 is interested in task 13.\nHost 7 is interested in task 0.\nHost 1 is interested in task 15.\nHost 8 is interested in task 9.\nHost 2 is interested in task 1.\nHost 0 is interested in task 0.\nHost 10 is interested in task 4.\nHost 14 is interested in task 9.\nHost 7 is interested in task 2.\nHost 3 is interested in task 3.\nHost 13 is interested in task 5.\nHost 7 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph262", "image": "data/matching/graph_visual/hard/graph262.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 8.\nHost 10 is interested in task 5.\nHost 9 is interested in task 7.\nHost 6 is interested in task 8.\nHost 6 is interested in task 7.\nHost 4 is interested in task 1.\nHost 6 is interested in task 5.\nHost 7 is interested in task 3.\nHost 9 is interested in task 6.\nHost 2 is interested in task 1.\nHost 2 is interested in task 5.\nHost 9 is interested in task 1.\nHost 0 is interested in task 0.\nHost 8 is interested in task 4.\nHost 4 is interested in task 7.\nHost 8 is interested in task 7.\nHost 3 is interested in task 8.\nHost 10 is interested in task 8.\nHost 7 is interested in task 7.\nHost 4 is interested in task 2.\nHost 5 is interested in task 8.\nHost 2 is interested in task 8.\nHost 5 is interested in task 7.\nHost 1 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 1.\nHost 1 is interested in task 7.\nHost 1 is interested in task 6.\nHost 2 is interested in task 3.\nHost 2 is interested in task 7.\nHost 3 is interested in task 4.\nHost 6 is interested in task 6.\nHost 9 is interested in task 2.\nHost 8 is interested in task 3.\nHost 6 is interested in task 2.\nHost 9 is interested in task 0.\nHost 5 is interested in task 3.\nHost 1 is interested in task 0.\nHost 6 is interested in task 3.\nHost 0 is interested in task 3.\nHost 4 is interested in task 6.\nHost 1 is interested in task 5.\nHost 8 is interested in task 5.\nHost 5 is interested in task 2.\nHost 3 is interested in task 1.\nHost 3 is interested in task 6.\nHost 1 is interested in task 2.\nHost 6 is interested in task 1.\nHost 0 is interested in task 6.\nHost 9 is interested in task 4.\nHost 0 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph61", "image": "data/matching/graph_visual/hard/graph61.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in: \nHost 1 is interested in task 2.\nHost 0 is interested in task 5.\nHost 4 is interested in task 3.\nHost 5 is interested in task 7.\nHost 4 is interested in task 8.\nHost 5 is interested in task 2.\nHost 8 is interested in task 2.\nHost 1 is interested in task 5.\nHost 0 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 0.\nHost 5 is interested in task 6.\nHost 8 is interested in task 1.\nHost 3 is interested in task 3.\nHost 1 is interested in task 8.\nHost 2 is interested in task 8.\nHost 4 is interested in task 2.\nHost 5 is interested in task 8.\nHost 8 is interested in task 5.\nHost 9 is interested in task 2.\nHost 1 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 4.\nHost 1 is interested in task 6.\nHost 9 is interested in task 1.\nHost 6 is interested in task 5.\nHost 3 is interested in task 2.\nHost 6 is interested in task 6.\nHost 5 is interested in task 5.\nHost 7 is interested in task 8.\nHost 7 is interested in task 3.\nHost 0 is interested in task 6.\nHost 6 is interested in task 0.\nHost 6 is interested in task 7.\nHost 8 is interested in task 7.\nHost 9 is interested in task 3.\nHost 9 is interested in task 0.\nHost 5 is interested in task 1.\nHost 1 is interested in task 4.\nHost 7 is interested in task 5.\nHost 6 is interested in task 3.\nHost 0 is interested in task 0.\nHost 0 is interested in task 3.\nHost 5 is interested in task 0.\nHost 8 is interested in task 6.\nHost 9 is interested in task 8.\nHost 5 is interested in task 3.\nHost 9 is interested in task 7.\nHost 7 is interested in task 1.\nHost 0 is interested in task 2.\nHost 2 is interested in task 6.\nHost 9 is interested in task 5.\nHost 4 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "9." } ] }, { "id": "matching-hard-graph52", "image": "data/matching/graph_visual/hard/graph52.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 0 is interested in task 1.\nHost 0 is interested in task 5.\nHost 6 is interested in task 7.\nHost 9 is interested in task 4.\nHost 4 is interested in task 6.\nHost 0 is interested in task 4.\nHost 9 is interested in task 2.\nHost 2 is interested in task 4.\nHost 9 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 3.\nHost 4 is interested in task 0.\nHost 5 is interested in task 7.\nHost 7 is interested in task 0.\nHost 4 is interested in task 5.\nHost 2 is interested in task 1.\nHost 6 is interested in task 5.\nHost 2 is interested in task 5.\nHost 4 is interested in task 4.\nHost 8 is interested in task 4.\nHost 3 is interested in task 3.\nHost 0 is interested in task 6.\nHost 5 is interested in task 4.\nHost 3 is interested in task 7.\nHost 1 is interested in task 1.\nHost 4 is interested in task 7.\nHost 7 is interested in task 2.\nHost 9 is interested in task 3.\nHost 5 is interested in task 1.\nHost 7 is interested in task 7.\nHost 2 is interested in task 6.\nHost 4 is interested in task 3.\nHost 9 is interested in task 0.\nHost 4 is interested in task 1.\nHost 6 is interested in task 0.\nHost 8 is interested in task 5.\nHost 3 is interested in task 1.\nHost 3 is interested in task 2.\nHost 6 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph394", "image": "data/matching/graph_visual/hard/graph394.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 2 is interested in task 8.\nHost 5 is interested in task 1.\nHost 1 is interested in task 0.\nHost 4 is interested in task 4.\nHost 1 is interested in task 8.\nHost 0 is interested in task 2.\nHost 3 is interested in task 5.\nHost 0 is interested in task 9.\nHost 6 is interested in task 13.\nHost 1 is interested in task 13.\nHost 3 is interested in task 13.\nHost 0 is interested in task 10.\nHost 5 is interested in task 5.\nHost 4 is interested in task 12.\nHost 3 is interested in task 0.\nHost 5 is interested in task 12.\nHost 2 is interested in task 10.\nHost 9 is interested in task 3.\nHost 3 is interested in task 2.\nHost 4 is interested in task 6.\nHost 3 is interested in task 1.\nHost 6 is interested in task 1.\nHost 3 is interested in task 8.\nHost 5 is interested in task 7.\nHost 3 is interested in task 10.\nHost 2 is interested in task 7.\nHost 8 is interested in task 1.\nHost 8 is interested in task 4.\nHost 8 is interested in task 0.\nHost 3 is interested in task 7.\nHost 7 is interested in task 7.\nHost 10 is interested in task 11.\nHost 4 is interested in task 13.\nHost 0 is interested in task 5.\nHost 6 is interested in task 4.\nHost 2 is interested in task 6.\nHost 5 is interested in task 11.\nHost 5 is interested in task 4.\nHost 7 is interested in task 9.\nHost 4 is interested in task 0.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 7.\nHost 8 is interested in task 2.\nHost 5 is interested in task 3.\nHost 3 is interested in task 4.\nHost 2 is interested in task 1.\nHost 4 is interested in task 10.\nHost 10 is interested in task 9.\nHost 1 is interested in task 11.\nHost 9 is interested in task 9.\nHost 8 is interested in task 7.\nHost 2 is interested in task 5.\nHost 6 is interested in task 3.\nHost 4 is interested in task 9.\nHost 9 is interested in task 5.\nHost 6 is interested in task 11.\nHost 9 is interested in task 1.\nHost 4 is interested in task 5.\nHost 4 is interested in task 1.\nHost 8 is interested in task 5.\nHost 5 is interested in task 0.\nHost 9 is interested in task 13.\nHost 0 is interested in task 11.\nHost 10 is interested in task 12.\nHost 6 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph510", "image": "data/matching/graph_visual/hard/graph510.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 0.\nHost 1 is interested in task 0.\nHost 7 is interested in task 2.\nHost 1 is interested in task 10.\nHost 8 is interested in task 8.\nHost 11 is interested in task 8.\nHost 3 is interested in task 9.\nHost 5 is interested in task 5.\nHost 2 is interested in task 10.\nHost 8 is interested in task 6.\nHost 9 is interested in task 4.\nHost 10 is interested in task 9.\nHost 8 is interested in task 7.\nHost 11 is interested in task 11.\nHost 9 is interested in task 8.\nHost 8 is interested in task 1.\nHost 5 is interested in task 0.\nHost 3 is interested in task 10.\nHost 7 is interested in task 1.\nHost 5 is interested in task 11.\nHost 6 is interested in task 0.\nHost 3 is interested in task 6.\nHost 7 is interested in task 0.\nHost 9 is interested in task 7.\nHost 5 is interested in task 9.\nHost 9 is interested in task 9.\nHost 11 is interested in task 1.\nHost 7 is interested in task 4.\nHost 1 is interested in task 1.\nHost 4 is interested in task 11.\nHost 0 is interested in task 2.\nHost 3 is interested in task 3.\nHost 5 is interested in task 7.\nHost 8 is interested in task 9.\nHost 8 is interested in task 3.\nHost 0 is interested in task 3.\nHost 0 is interested in task 5.\nHost 8 is interested in task 11.\nHost 8 is interested in task 5.\nHost 9 is interested in task 11.\nHost 7 is interested in task 6.\nHost 9 is interested in task 0.\nHost 3 is interested in task 5.\nHost 8 is interested in task 10.\nHost 8 is interested in task 4.\nHost 0 is interested in task 10.\nHost 7 is interested in task 7.\nHost 6 is interested in task 5. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph1012", "image": "data/matching/graph_visual/hard/graph1012.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 3.\nHost 0 is interested in task 10.\nHost 11 is interested in task 1.\nHost 13 is interested in task 13.\nHost 9 is interested in task 13.\nHost 12 is interested in task 8.\nHost 7 is interested in task 6.\nHost 7 is interested in task 15.\nHost 7 is interested in task 9.\nHost 3 is interested in task 12.\nHost 8 is interested in task 14.\nHost 4 is interested in task 14.\nHost 7 is interested in task 5.\nHost 11 is interested in task 10.\nHost 2 is interested in task 13.\nHost 5 is interested in task 8.\nHost 6 is interested in task 4.\nHost 13 is interested in task 11.\nHost 0 is interested in task 14.\nHost 10 is interested in task 9.\nHost 6 is interested in task 9.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 9 is interested in task 3.\nHost 2 is interested in task 2.\nHost 1 is interested in task 8.\nHost 6 is interested in task 2.\nHost 6 is interested in task 5.\nHost 6 is interested in task 1.\nHost 0 is interested in task 13.\nHost 0 is interested in task 3.\nHost 12 is interested in task 0.\nHost 6 is interested in task 3.\nHost 1 is interested in task 4.\nHost 2 is interested in task 6.\nHost 5 is interested in task 12.\nHost 5 is interested in task 6.\nHost 9 is interested in task 9.\nHost 7 is interested in task 12.\nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 13 is interested in task 15.\nHost 9 is interested in task 10.\nHost 10 is interested in task 1.\nHost 11 is interested in task 9.\nHost 13 is interested in task 8.\nHost 9 is interested in task 15.\nHost 9 is interested in task 11.\nHost 4 is interested in task 1.\nHost 1 is interested in task 10.\nHost 1 is interested in task 5.\nHost 5 is interested in task 2.\nHost 9 is interested in task 7.\nHost 6 is interested in task 13.\nHost 10 is interested in task 5.\nHost 11 is interested in task 4.\nHost 0 is interested in task 5.\nHost 5 is interested in task 5.\nHost 3 is interested in task 8.\nHost 8 is interested in task 11.\nHost 11 is interested in task 7.\nHost 7 is interested in task 11.\nHost 13 is interested in task 9.\nHost 6 is interested in task 14.\nHost 5 is interested in task 7.\nHost 2 is interested in task 5.\nHost 7 is interested in task 2.\nHost 5 is interested in task 0.\nHost 7 is interested in task 3.\nHost 9 is interested in task 0.\nHost 8 is interested in task 3.\nHost 3 is interested in task 3.\nHost 10 is interested in task 0.\nHost 1 is interested in task 12.\nHost 8 is interested in task 0.\nHost 3 is interested in task 6.\nHost 6 is interested in task 15.\nHost 10 is interested in task 14.\nHost 8 is interested in task 12.\nHost 5 is interested in task 4.\nHost 1 is interested in task 6.\nHost 1 is interested in task 9.\nHost 13 is interested in task 2.\nHost 5 is interested in task 15.\nHost 6 is interested in task 0.\nHost 12 is interested in task 13.\nHost 12 is interested in task 1.\nHost 5 is interested in task 9.\nHost 3 is interested in task 4.\nHost 10 is interested in task 10.\nHost 8 is interested in task 7.\nHost 6 is interested in task 8.\nHost 10 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph227", "image": "data/matching/graph_visual/hard/graph227.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 2.\nHost 0 is interested in task 2.\nHost 7 is interested in task 4.\nHost 6 is interested in task 1.\nHost 7 is interested in task 7.\nHost 9 is interested in task 5.\nHost 6 is interested in task 7.\nHost 6 is interested in task 3.\nHost 9 is interested in task 6.\nHost 3 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 5.\nHost 10 is interested in task 3.\nHost 10 is interested in task 1.\nHost 6 is interested in task 6.\nHost 3 is interested in task 3.\nHost 2 is interested in task 0.\nHost 10 is interested in task 0.\nHost 6 is interested in task 0.\nHost 4 is interested in task 7.\nHost 8 is interested in task 5.\nHost 2 is interested in task 2.\nHost 1 is interested in task 2.\nHost 10 is interested in task 2.\nHost 2 is interested in task 4.\nHost 2 is interested in task 6.\nHost 7 is interested in task 1.\nHost 8 is interested in task 4.\nHost 8 is interested in task 2.\nHost 1 is interested in task 7.\nHost 6 is interested in task 5.\nHost 1 is interested in task 0.\nHost 2 is interested in task 3.\nHost 0 is interested in task 4.\nHost 4 is interested in task 5.\nHost 7 is interested in task 2.\nHost 7 is interested in task 6.\nHost 3 is interested in task 4.\nHost 3 is interested in task 7.\nHost 9 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph536", "image": "data/matching/graph_visual/hard/graph536.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 7.\nHost 4 is interested in task 8.\nHost 0 is interested in task 8.\nHost 2 is interested in task 3.\nHost 10 is interested in task 7.\nHost 3 is interested in task 10.\nHost 6 is interested in task 6.\nHost 2 is interested in task 0.\nHost 3 is interested in task 1.\nHost 10 is interested in task 11.\nHost 10 is interested in task 10.\nHost 9 is interested in task 3.\nHost 4 is interested in task 6.\nHost 7 is interested in task 9.\nHost 4 is interested in task 2.\nHost 1 is interested in task 4.\nHost 10 is interested in task 8.\nHost 0 is interested in task 4.\nHost 7 is interested in task 6.\nHost 1 is interested in task 10.\nHost 11 is interested in task 6.\nHost 11 is interested in task 7.\nHost 10 is interested in task 0.\nHost 3 is interested in task 4.\nHost 5 is interested in task 4.\nHost 8 is interested in task 5.\nHost 5 is interested in task 5.\nHost 7 is interested in task 4.\nHost 1 is interested in task 0.\nHost 3 is interested in task 11.\nHost 8 is interested in task 10.\nHost 11 is interested in task 1.\nHost 5 is interested in task 1.\nHost 9 is interested in task 8.\nHost 10 is interested in task 6.\nHost 2 is interested in task 5.\nHost 5 is interested in task 3.\nHost 0 is interested in task 9.\nHost 2 is interested in task 1.\nHost 3 is interested in task 0.\nHost 2 is interested in task 7.\nHost 0 is interested in task 6.\nHost 0 is interested in task 1.\nHost 9 is interested in task 10.\nHost 2 is interested in task 8.\nHost 9 is interested in task 5.\nHost 8 is interested in task 1.\nHost 11 is interested in task 5.\nHost 10 is interested in task 4.\nHost 11 is interested in task 9.\nHost 11 is interested in task 10.\nHost 8 is interested in task 8.\nHost 2 is interested in task 6.\nHost 5 is interested in task 11.\nHost 2 is interested in task 9.\nHost 0 is interested in task 7.\nHost 10 is interested in task 3.\nHost 7 is interested in task 2.\nHost 3 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph450", "image": "data/matching/graph_visual/hard/graph450.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 10 is interested in task 6.\nHost 5 is interested in task 8.\nHost 1 is interested in task 9.\nHost 11 is interested in task 9.\nHost 1 is interested in task 6.\nHost 2 is interested in task 4.\nHost 11 is interested in task 4.\nHost 5 is interested in task 6.\nHost 1 is interested in task 4.\nHost 10 is interested in task 0.\nHost 10 is interested in task 9.\nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 3 is interested in task 2.\nHost 5 is interested in task 3.\nHost 1 is interested in task 1.\nHost 4 is interested in task 7.\nHost 1 is interested in task 3.\nHost 11 is interested in task 0.\nHost 9 is interested in task 5.\nHost 2 is interested in task 3.\nHost 9 is interested in task 7.\nHost 2 is interested in task 1.\nHost 7 is interested in task 4.\nHost 4 is interested in task 3.\nHost 11 is interested in task 2.\nHost 9 is interested in task 3.\nHost 1 is interested in task 8.\nHost 5 is interested in task 5.\nHost 8 is interested in task 9.\nHost 5 is interested in task 9.\nHost 8 is interested in task 0.\nHost 9 is interested in task 4.\nHost 1 is interested in task 2.\nHost 3 is interested in task 1. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph628", "image": "data/matching/graph_visual/hard/graph628.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 3 is interested in task 6.\nHost 7 is interested in task 5.\nHost 5 is interested in task 14.\nHost 1 is interested in task 14.\nHost 5 is interested in task 4.\nHost 5 is interested in task 9.\nHost 7 is interested in task 6.\nHost 6 is interested in task 3.\nHost 9 is interested in task 8.\nHost 9 is interested in task 0.\nHost 7 is interested in task 3.\nHost 3 is interested in task 14.\nHost 1 is interested in task 12.\nHost 8 is interested in task 13.\nHost 10 is interested in task 4.\nHost 4 is interested in task 11.\nHost 7 is interested in task 10.\nHost 3 is interested in task 11.\nHost 5 is interested in task 2.\nHost 4 is interested in task 1.\nHost 1 is interested in task 6.\nHost 9 is interested in task 2.\nHost 0 is interested in task 1.\nHost 2 is interested in task 4.\nHost 10 is interested in task 8.\nHost 6 is interested in task 9.\nHost 1 is interested in task 11.\nHost 4 is interested in task 12.\nHost 5 is interested in task 7.\nHost 1 is interested in task 7.\nHost 3 is interested in task 2.\nHost 1 is interested in task 5.\nHost 2 is interested in task 11.\nHost 9 is interested in task 11.\nHost 1 is interested in task 0.\nHost 3 is interested in task 9.\nHost 6 is interested in task 6.\nHost 1 is interested in task 13.\nHost 5 is interested in task 0.\nHost 11 is interested in task 2.\nHost 9 is interested in task 7.\nHost 3 is interested in task 3.\nHost 6 is interested in task 12.\nHost 2 is interested in task 3.\nHost 0 is interested in task 0.\nHost 7 is interested in task 8.\nHost 7 is interested in task 14.\nHost 3 is interested in task 12.\nHost 6 is interested in task 4.\nHost 6 is interested in task 13.\nHost 5 is interested in task 5.\nHost 2 is interested in task 9.\nHost 9 is interested in task 9.\nHost 4 is interested in task 7.\nHost 11 is interested in task 9.\nHost 7 is interested in task 12.\nHost 6 is interested in task 11.\nHost 11 is interested in task 14.\nHost 1 is interested in task 8.\nHost 0 is interested in task 2.\nHost 10 is interested in task 1.\nHost 6 is interested in task 8.\nHost 3 is interested in task 0.\nHost 9 is interested in task 14.\nHost 11 is interested in task 1.\nHost 2 is interested in task 12.\nHost 5 is interested in task 6.\nHost 5 is interested in task 3.\nHost 3 is interested in task 7.\nHost 4 is interested in task 6.\nHost 1 is interested in task 9. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph960", "image": "data/matching/graph_visual/hard/graph960.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 8.\nHost 13 is interested in task 6.\nHost 13 is interested in task 11.\nHost 6 is interested in task 13.\nHost 9 is interested in task 7.\nHost 6 is interested in task 14.\nHost 13 is interested in task 13.\nHost 13 is interested in task 0.\nHost 10 is interested in task 6.\nHost 2 is interested in task 6.\nHost 1 is interested in task 5.\nHost 9 is interested in task 1.\nHost 12 is interested in task 2.\nHost 0 is interested in task 9.\nHost 3 is interested in task 5.\nHost 5 is interested in task 11.\nHost 6 is interested in task 8.\nHost 3 is interested in task 13.\nHost 7 is interested in task 14.\nHost 0 is interested in task 6.\nHost 10 is interested in task 8.\nHost 8 is interested in task 4.\nHost 2 is interested in task 0.\nHost 7 is interested in task 3.\nHost 0 is interested in task 10.\nHost 3 is interested in task 7.\nHost 2 is interested in task 14.\nHost 10 is interested in task 14.\nHost 6 is interested in task 4.\nHost 13 is interested in task 8.\nHost 8 is interested in task 11.\nHost 4 is interested in task 4.\nHost 5 is interested in task 7.\nHost 9 is interested in task 11.\nHost 10 is interested in task 2.\nHost 12 is interested in task 3.\nHost 10 is interested in task 4.\nHost 12 is interested in task 7.\nHost 0 is interested in task 3.\nHost 8 is interested in task 1.\nHost 9 is interested in task 6.\nHost 12 is interested in task 10.\nHost 4 is interested in task 14.\nHost 4 is interested in task 9.\nHost 6 is interested in task 11.\nHost 3 is interested in task 11.\nHost 6 is interested in task 9.\nHost 6 is interested in task 12.\nHost 9 is interested in task 13.\nHost 9 is interested in task 14.\nHost 10 is interested in task 10.\nHost 1 is interested in task 12.\nHost 3 is interested in task 12.\nHost 9 is interested in task 8.\nHost 11 is interested in task 10.\nHost 11 is interested in task 2.\nHost 1 is interested in task 8.\nHost 7 is interested in task 8.\nHost 5 is interested in task 12.\nHost 11 is interested in task 0.\nHost 6 is interested in task 1.\nHost 8 is interested in task 7.\nHost 2 is interested in task 13.\nHost 6 is interested in task 0.\nHost 9 is interested in task 2.\nHost 3 is interested in task 6.\nHost 13 is interested in task 3.\nHost 0 is interested in task 0.\nHost 13 is interested in task 12.\nHost 10 is interested in task 9.\nHost 0 is interested in task 2.\nHost 3 is interested in task 8.\nHost 0 is interested in task 4.\nHost 12 is interested in task 13.\nHost 6 is interested in task 10.\nHost 12 is interested in task 14.\nHost 2 is interested in task 9.\nHost 12 is interested in task 1.\nHost 2 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "14." } ] }, { "id": "matching-hard-graph44", "image": "data/matching/graph_visual/hard/graph44.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 4 is interested in task 4.\nHost 6 is interested in task 5.\nHost 9 is interested in task 3.\nHost 5 is interested in task 3.\nHost 1 is interested in task 6.\nHost 2 is interested in task 5.\nHost 4 is interested in task 5.\nHost 9 is interested in task 0.\nHost 3 is interested in task 5.\nHost 0 is interested in task 2.\nHost 7 is interested in task 3.\nHost 6 is interested in task 1.\nHost 1 is interested in task 3.\nHost 6 is interested in task 3.\nHost 9 is interested in task 6.\nHost 7 is interested in task 6.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 3 is interested in task 3.\nHost 3 is interested in task 1.\nHost 6 is interested in task 0.\nHost 2 is interested in task 1.\nHost 7 is interested in task 7.\nHost 7 is interested in task 4.\nHost 8 is interested in task 7.\nHost 5 is interested in task 6.\nHost 1 is interested in task 5.\nHost 7 is interested in task 1.\nHost 8 is interested in task 5.\nHost 7 is interested in task 0.\nHost 7 is interested in task 5.\nHost 6 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph41", "image": "data/matching/graph_visual/hard/graph41.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 6.\nHost 2 is interested in task 0.\nHost 2 is interested in task 7.\nHost 8 is interested in task 3.\nHost 4 is interested in task 1.\nHost 7 is interested in task 2.\nHost 0 is interested in task 0.\nHost 9 is interested in task 7.\nHost 6 is interested in task 3.\nHost 4 is interested in task 3.\nHost 3 is interested in task 7.\nHost 9 is interested in task 1.\nHost 7 is interested in task 0.\nHost 9 is interested in task 5.\nHost 6 is interested in task 5.\nHost 9 is interested in task 3.\nHost 5 is interested in task 6.\nHost 2 is interested in task 4.\nHost 5 is interested in task 4.\nHost 6 is interested in task 4.\nHost 5 is interested in task 3.\nHost 2 is interested in task 1.\nHost 3 is interested in task 2.\nHost 0 is interested in task 5.\nHost 5 is interested in task 7.\nHost 1 is interested in task 4.\nHost 3 is interested in task 4.\nHost 5 is interested in task 5.\nHost 3 is interested in task 5.\nHost 0 is interested in task 7.\nHost 9 is interested in task 2.\nHost 8 is interested in task 0.\nHost 7 is interested in task 1.\nHost 3 is interested in task 6.\nHost 3 is interested in task 1.\nHost 1 is interested in task 5.\nHost 0 is interested in task 4.\nHost 0 is interested in task 3. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "8." } ] }, { "id": "matching-hard-graph1248", "image": "data/matching/graph_visual/hard/graph1248.png", "conversations": [ { "from": "human", "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in: \nHost 6 is interested in task 5.\nHost 14 is interested in task 16.\nHost 0 is interested in task 0.\nHost 6 is interested in task 15.\nHost 14 is interested in task 13.\nHost 11 is interested in task 17.\nHost 3 is interested in task 10.\nHost 8 is interested in task 7.\nHost 11 is interested in task 3.\nHost 0 is interested in task 12.\nHost 5 is interested in task 14.\nHost 14 is interested in task 5.\nHost 4 is interested in task 4.\nHost 13 is interested in task 7.\nHost 13 is interested in task 0.\nHost 1 is interested in task 14.\nHost 3 is interested in task 0.\nHost 13 is interested in task 10.\nHost 3 is interested in task 17.\nHost 4 is interested in task 7.\nHost 11 is interested in task 11.\nHost 10 is interested in task 9.\nHost 5 is interested in task 10.\nHost 9 is interested in task 14.\nHost 4 is interested in task 1.\nHost 4 is interested in task 2.\nHost 2 is interested in task 6.\nHost 10 is interested in task 5.\nHost 10 is interested in task 7.\nHost 10 is interested in task 2.\nHost 5 is interested in task 8.\nHost 12 is interested in task 7.\nHost 0 is interested in task 10.\nHost 2 is interested in task 13.\nHost 0 is interested in task 6.\nHost 6 is interested in task 2.\nHost 3 is interested in task 3.\nHost 4 is interested in task 5.\nHost 3 is interested in task 13.\nHost 10 is interested in task 11.\nHost 3 is interested in task 5.\nHost 12 is interested in task 5.\nHost 12 is interested in task 8.\nHost 2 is interested in task 5.\nHost 5 is interested in task 16.\nHost 14 is interested in task 1.\nHost 13 is interested in task 17.\nHost 1 is interested in task 17.\nHost 4 is interested in task 16.\nHost 14 is interested in task 10.\nHost 9 is interested in task 13.\nHost 6 is interested in task 14.\nHost 7 is interested in task 14.\nHost 9 is interested in task 3.\nHost 6 is interested in task 16.\nHost 12 is interested in task 4.\nHost 1 is interested in task 8.\nHost 9 is interested in task 8.\nHost 14 is interested in task 14.\nHost 3 is interested in task 12.\nHost 4 is interested in task 8.\nHost 2 is interested in task 8.\nHost 6 is interested in task 7.\nHost 8 is interested in task 11.\nHost 2 is interested in task 9.\nHost 2 is interested in task 11.\nHost 8 is interested in task 2.\nHost 7 is interested in task 17.\nHost 10 is interested in task 4.\nHost 9 is interested in task 10.\nHost 11 is interested in task 4.\nHost 0 is interested in task 1.\nHost 0 is interested in task 3.\nHost 2 is interested in task 3.\nHost 12 is interested in task 9.\nHost 14 is interested in task 2.\nHost 4 is interested in task 14.\nHost 9 is interested in task 12.\nHost 3 is interested in task 15.\nHost 3 is interested in task 2.\nHost 4 is interested in task 12.\nHost 1 is interested in task 6.\nHost 3 is interested in task 7.\nHost 0 is interested in task 4.\nHost 9 is interested in task 4.\nHost 11 is interested in task 10.\nHost 5 is interested in task 12.\nHost 14 is interested in task 7.\nHost 7 is interested in task 3.\nHost 13 is interested in task 6.\nHost 0 is interested in task 2.\nHost 11 is interested in task 0.\nHost 5 is interested in task 9.\nHost 5 is interested in task 2.\nHost 0 is interested in task 14.\nHost 2 is interested in task 16.\nHost 10 is interested in task 16.\nHost 14 is interested in task 3.\nHost 10 is interested in task 6.\nHost 4 is interested in task 10.\nHost 5 is interested in task 13.\nHost 5 is interested in task 1.\nHost 10 is interested in task 12.\nHost 14 is interested in task 17.\nHost 7 is interested in task 0.\nHost 11 is interested in task 6.\nHost 5 is interested in task 17.\nHost 9 is interested in task 16.\nHost 10 is interested in task 14.\nHost 10 is interested in task 10.\nHost 5 is interested in task 5.\nHost 4 is interested in task 0. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "15." } ] }, { "id": "matching-hard-graph496", "image": "data/matching/graph_visual/hard/graph496.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 5 is interested in task 2.\nHost 4 is interested in task 6.\nHost 1 is interested in task 6.\nHost 10 is interested in task 6.\nHost 9 is interested in task 1.\nHost 6 is interested in task 0.\nHost 5 is interested in task 1.\nHost 11 is interested in task 4.\nHost 5 is interested in task 9.\nHost 6 is interested in task 5.\nHost 11 is interested in task 1.\nHost 5 is interested in task 6.\nHost 6 is interested in task 6.\nHost 2 is interested in task 7.\nHost 3 is interested in task 6.\nHost 5 is interested in task 4.\nHost 6 is interested in task 2.\nHost 10 is interested in task 7.\nHost 11 is interested in task 7.\nHost 7 is interested in task 2.\nHost 1 is interested in task 2.\nHost 11 is interested in task 8.\nHost 0 is interested in task 8.\nHost 4 is interested in task 2.\nHost 9 is interested in task 0.\nHost 3 is interested in task 0.\nHost 8 is interested in task 10.\nHost 1 is interested in task 8.\nHost 2 is interested in task 1.\nHost 7 is interested in task 9.\nHost 0 is interested in task 10.\nHost 9 is interested in task 4.\nHost 5 is interested in task 3.\nHost 9 is interested in task 8.\nHost 10 is interested in task 3.\nHost 7 is interested in task 1.\nHost 7 is interested in task 7.\nHost 3 is interested in task 9.\nHost 10 is interested in task 8.\nHost 4 is interested in task 7.\nHost 6 is interested in task 9.\nHost 1 is interested in task 5.\nHost 11 is interested in task 10.\nHost 6 is interested in task 10.\nHost 10 is interested in task 1.\nHost 3 is interested in task 4.\nHost 7 is interested in task 0.\nHost 3 is interested in task 3.\nHost 3 is interested in task 8. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph585", "image": "data/matching/graph_visual/hard/graph585.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 1.\nHost 10 is interested in task 8.\nHost 5 is interested in task 1.\nHost 9 is interested in task 12.\nHost 3 is interested in task 2.\nHost 9 is interested in task 11.\nHost 5 is interested in task 9.\nHost 4 is interested in task 12.\nHost 3 is interested in task 11.\nHost 4 is interested in task 3.\nHost 10 is interested in task 6.\nHost 9 is interested in task 5.\nHost 0 is interested in task 5.\nHost 0 is interested in task 8.\nHost 10 is interested in task 11.\nHost 8 is interested in task 0.\nHost 3 is interested in task 1.\nHost 10 is interested in task 7.\nHost 1 is interested in task 12.\nHost 6 is interested in task 13.\nHost 6 is interested in task 6.\nHost 1 is interested in task 9.\nHost 10 is interested in task 13.\nHost 10 is interested in task 0.\nHost 10 is interested in task 12.\nHost 11 is interested in task 8.\nHost 8 is interested in task 2.\nHost 8 is interested in task 3.\nHost 8 is interested in task 6.\nHost 10 is interested in task 5.\nHost 3 is interested in task 13.\nHost 3 is interested in task 12.\nHost 6 is interested in task 3.\nHost 5 is interested in task 11.\nHost 1 is interested in task 7.\nHost 5 is interested in task 12.\nHost 6 is interested in task 9.\nHost 7 is interested in task 6.\nHost 9 is interested in task 9.\nHost 0 is interested in task 0.\nHost 4 is interested in task 5.\nHost 5 is interested in task 2.\nHost 9 is interested in task 2.\nHost 9 is interested in task 13.\nHost 7 is interested in task 8.\nHost 7 is interested in task 3.\nHost 11 is interested in task 9.\nHost 3 is interested in task 6.\nHost 1 is interested in task 10.\nHost 5 is interested in task 8.\nHost 7 is interested in task 10.\nHost 11 is interested in task 10.\nHost 9 is interested in task 10.\nHost 0 is interested in task 10.\nHost 9 is interested in task 3.\nHost 1 is interested in task 11.\nHost 11 is interested in task 6.\nHost 3 is interested in task 0.\nHost 5 is interested in task 4.\nHost 9 is interested in task 8.\nHost 7 is interested in task 1.\nHost 11 is interested in task 5.\nHost 7 is interested in task 0.\nHost 0 is interested in task 12.\nHost 11 is interested in task 7.\nHost 10 is interested in task 10.\nHost 4 is interested in task 8.\nHost 0 is interested in task 13.\nHost 6 is interested in task 1.\nHost 9 is interested in task 7.\nHost 0 is interested in task 7. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] }, { "id": "matching-hard-graph122", "image": "data/matching/graph_visual/hard/graph122.png", "conversations": [ { "from": "human", "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in: \nHost 8 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 9.\nHost 0 is interested in task 0.\nHost 7 is interested in task 10.\nHost 6 is interested in task 7.\nHost 0 is interested in task 5.\nHost 2 is interested in task 4.\nHost 1 is interested in task 9.\nHost 3 is interested in task 7.\nHost 6 is interested in task 2.\nHost 0 is interested in task 8.\nHost 7 is interested in task 7.\nHost 0 is interested in task 6.\nHost 6 is interested in task 4.\nHost 5 is interested in task 9.\nHost 5 is interested in task 10.\nHost 9 is interested in task 3.\nHost 5 is interested in task 4.\nHost 8 is interested in task 5.\nHost 9 is interested in task 4.\nHost 7 is interested in task 1.\nHost 5 is interested in task 1.\nHost 5 is interested in task 5.\nHost 9 is interested in task 2.\nHost 9 is interested in task 9.\nHost 7 is interested in task 2.\nHost 0 is interested in task 7.\nHost 5 is interested in task 2.\nHost 7 is interested in task 6.\nHost 2 is interested in task 7.\nHost 0 is interested in task 10.\nHost 5 is interested in task 3.\nHost 6 is interested in task 10.\nHost 5 is interested in task 0.\nHost 9 is interested in task 7.\nHost 4 is interested in task 4.\nHost 2 is interested in task 0.\nHost 6 is interested in task 8.\nHost 1 is interested in task 0.\nHost 5 is interested in task 7.\nHost 4 is interested in task 10. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph474", "image": "data/matching/graph_visual/hard/graph474.png", "conversations": [ { "from": "human", "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in: \nHost 11 is interested in task 4.\nHost 4 is interested in task 0.\nHost 1 is interested in task 1.\nHost 0 is interested in task 9.\nHost 7 is interested in task 0.\nHost 2 is interested in task 5.\nHost 7 is interested in task 9.\nHost 8 is interested in task 1.\nHost 10 is interested in task 2.\nHost 0 is interested in task 7.\nHost 6 is interested in task 6.\nHost 0 is interested in task 2.\nHost 8 is interested in task 0.\nHost 6 is interested in task 4.\nHost 5 is interested in task 2.\nHost 6 is interested in task 0.\nHost 9 is interested in task 5.\nHost 2 is interested in task 1.\nHost 11 is interested in task 2.\nHost 8 is interested in task 4.\nHost 11 is interested in task 6.\nHost 1 is interested in task 8.\nHost 0 is interested in task 1.\nHost 3 is interested in task 4.\nHost 8 is interested in task 3.\nHost 1 is interested in task 5.\nHost 11 is interested in task 7.\nHost 4 is interested in task 4.\nHost 9 is interested in task 3.\nHost 5 is interested in task 5.\nHost 11 is interested in task 9.\nHost 11 is interested in task 5.\nHost 9 is interested in task 7.\nHost 0 is interested in task 5.\nHost 9 is interested in task 9.\nHost 10 is interested in task 0.\nHost 7 is interested in task 4.\nHost 3 is interested in task 9.\nHost 9 is interested in task 2.\nHost 3 is interested in task 5.\nHost 2 is interested in task 9.\nHost 0 is interested in task 3.\nHost 4 is interested in task 9.\nHost 0 is interested in task 8.\nHost 11 is interested in task 8.\nHost 8 is interested in task 5.\nHost 4 is interested in task 7.\nHost 9 is interested in task 0.\nHost 8 is interested in task 9.\nHost 5 is interested in task 3.\nHost 2 is interested in task 3.\nHost 9 is interested in task 6.\nHost 4 is interested in task 8.\nHost 1 is interested in task 4.\nHost 2 is interested in task 2.\nHost 8 is interested in task 6. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "10." } ] }, { "id": "matching-hard-graph893", "image": "data/matching/graph_visual/hard/graph893.png", "conversations": [ { "from": "human", "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 7.\nHost 4 is interested in task 2.\nHost 13 is interested in task 4.\nHost 13 is interested in task 8.\nHost 10 is interested in task 10.\nHost 13 is interested in task 2.\nHost 12 is interested in task 3.\nHost 3 is interested in task 6.\nHost 8 is interested in task 0.\nHost 4 is interested in task 11.\nHost 7 is interested in task 11.\nHost 10 is interested in task 0.\nHost 0 is interested in task 11.\nHost 6 is interested in task 2.\nHost 12 is interested in task 10.\nHost 11 is interested in task 5.\nHost 4 is interested in task 0.\nHost 3 is interested in task 11.\nHost 5 is interested in task 8.\nHost 1 is interested in task 3.\nHost 7 is interested in task 2.\nHost 0 is interested in task 1.\nHost 11 is interested in task 9.\nHost 4 is interested in task 3.\nHost 6 is interested in task 11.\nHost 2 is interested in task 10.\nHost 8 is interested in task 2.\nHost 0 is interested in task 8.\nHost 11 is interested in task 8.\nHost 10 is interested in task 8.\nHost 2 is interested in task 11.\nHost 7 is interested in task 10.\nHost 0 is interested in task 0.\nHost 0 is interested in task 2.\nHost 2 is interested in task 8.\nHost 0 is interested in task 3.\nHost 11 is interested in task 11.\nHost 8 is interested in task 10.\nHost 11 is interested in task 10.\nHost 0 is interested in task 4.\nHost 6 is interested in task 10.\nHost 13 is interested in task 7.\nHost 6 is interested in task 1.\nHost 9 is interested in task 4.\nHost 9 is interested in task 9.\nHost 3 is interested in task 5.\nHost 9 is interested in task 6.\nHost 6 is interested in task 6.\nHost 13 is interested in task 5.\nHost 4 is interested in task 4.\nHost 6 is interested in task 5.\nHost 8 is interested in task 1.\nHost 6 is interested in task 0.\nHost 1 is interested in task 8.\nHost 9 is interested in task 11.\nHost 8 is interested in task 9.\nHost 5 is interested in task 7.\nHost 4 is interested in task 9.\nHost 0 is interested in task 6.\nHost 12 is interested in task 8.\nHost 2 is interested in task 9.\nHost 10 is interested in task 6.\nHost 11 is interested in task 7.\nHost 8 is interested in task 4. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "12." } ] }, { "id": "matching-hard-graph405", "image": "data/matching/graph_visual/hard/graph405.png", "conversations": [ { "from": "human", "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in: \nHost 9 is interested in task 12.\nHost 1 is interested in task 2.\nHost 6 is interested in task 2.\nHost 1 is interested in task 12.\nHost 10 is interested in task 11.\nHost 1 is interested in task 11.\nHost 7 is interested in task 0.\nHost 6 is interested in task 13.\nHost 4 is interested in task 1.\nHost 0 is interested in task 2.\nHost 9 is interested in task 1.\nHost 0 is interested in task 13.\nHost 6 is interested in task 5.\nHost 7 is interested in task 7.\nHost 7 is interested in task 9.\nHost 10 is interested in task 1.\nHost 7 is interested in task 10.\nHost 2 is interested in task 5.\nHost 6 is interested in task 10.\nHost 3 is interested in task 7.\nHost 0 is interested in task 12.\nHost 0 is interested in task 6.\nHost 2 is interested in task 0.\nHost 0 is interested in task 11.\nHost 1 is interested in task 8.\nHost 9 is interested in task 11.\nHost 4 is interested in task 4.\nHost 9 is interested in task 7.\nHost 10 is interested in task 0.\nHost 5 is interested in task 11.\nHost 2 is interested in task 9.\nHost 6 is interested in task 0.\nHost 5 is interested in task 6.\nHost 9 is interested in task 13.\nHost 3 is interested in task 1.\nHost 3 is interested in task 0.\nHost 4 is interested in task 11.\nHost 0 is interested in task 8.\nHost 1 is interested in task 13.\nHost 0 is interested in task 3.\nHost 3 is interested in task 11.\nHost 7 is interested in task 4.\nHost 3 is interested in task 8.\nHost 1 is interested in task 4.\nHost 0 is interested in task 4.\nHost 8 is interested in task 10.\nHost 5 is interested in task 1.\nHost 3 is interested in task 4.\nHost 5 is interested in task 5.\nHost 1 is interested in task 3.\nHost 4 is interested in task 6.\nHost 5 is interested in task 4.\nHost 6 is interested in task 6.\nHost 5 is interested in task 9.\nHost 0 is interested in task 7.\nHost 0 is interested in task 9.\nHost 9 is interested in task 6.\nHost 4 is interested in task 5.\nHost 4 is interested in task 9.\nHost 9 is interested in task 9.\nHost 3 is interested in task 13.\nHost 8 is interested in task 8.\nHost 3 is interested in task 5.\nHost 3 is interested in task 2.\nHost 10 is interested in task 9.\nHost 10 is interested in task 2. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" }, { "from": "gpt", "value": "11." } ] } ]