diff --git "a/data/matching/QA/Base/Vision_Only_test.json" "b/data/matching/QA/Base/Vision_Only_test.json" --- "a/data/matching/QA/Base/Vision_Only_test.json" +++ "b/data/matching/QA/Base/Vision_Only_test.json" @@ -1,7814 +1,3 @@ -[ - { - "id": "matching-easy-graph345", - "image": "data/matching/graph_visual/Base/easy/graph345.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph594", - "image": "data/matching/graph_visual/Base/easy/graph594.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph463", - "image": "data/matching/graph_visual/Base/easy/graph463.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph568", - "image": "data/matching/graph_visual/Base/easy/graph568.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph459", - "image": "data/matching/graph_visual/Base/easy/graph459.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph457", - "image": "data/matching/graph_visual/Base/easy/graph457.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph519", - "image": "data/matching/graph_visual/Base/easy/graph519.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph211", - "image": "data/matching/graph_visual/Base/easy/graph211.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph424", - "image": "data/matching/graph_visual/Base/easy/graph424.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph481", - "image": "data/matching/graph_visual/Base/easy/graph481.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph410", - "image": "data/matching/graph_visual/Base/easy/graph410.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph462", - "image": "data/matching/graph_visual/Base/easy/graph462.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph164", - "image": "data/matching/graph_visual/Base/easy/graph164.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph438", - "image": "data/matching/graph_visual/Base/easy/graph438.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph269", - "image": "data/matching/graph_visual/Base/easy/graph269.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph90", - "image": "data/matching/graph_visual/Base/easy/graph90.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph321", - "image": "data/matching/graph_visual/Base/easy/graph321.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph247", - "image": "data/matching/graph_visual/Base/easy/graph247.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph299", - "image": "data/matching/graph_visual/Base/easy/graph299.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph342", - "image": "data/matching/graph_visual/Base/easy/graph342.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph523", - "image": "data/matching/graph_visual/Base/easy/graph523.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph569", - "image": "data/matching/graph_visual/Base/easy/graph569.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph270", - "image": "data/matching/graph_visual/Base/easy/graph270.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph32", - "image": "data/matching/graph_visual/Base/easy/graph32.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph450", - "image": "data/matching/graph_visual/Base/easy/graph450.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph435", - "image": "data/matching/graph_visual/Base/easy/graph435.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph524", - "image": "data/matching/graph_visual/Base/easy/graph524.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph385", - "image": "data/matching/graph_visual/Base/easy/graph385.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph561", - "image": "data/matching/graph_visual/Base/easy/graph561.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph0", - "image": "data/matching/graph_visual/Base/easy/graph0.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph231", - "image": "data/matching/graph_visual/Base/easy/graph231.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph582", - "image": "data/matching/graph_visual/Base/easy/graph582.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph367", - "image": "data/matching/graph_visual/Base/easy/graph367.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph246", - "image": "data/matching/graph_visual/Base/easy/graph246.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph267", - "image": "data/matching/graph_visual/Base/easy/graph267.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph446", - "image": "data/matching/graph_visual/Base/easy/graph446.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph244", - "image": "data/matching/graph_visual/Base/easy/graph244.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph584", - "image": "data/matching/graph_visual/Base/easy/graph584.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph484", - "image": "data/matching/graph_visual/Base/easy/graph484.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph203", - "image": "data/matching/graph_visual/Base/easy/graph203.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph47", - "image": "data/matching/graph_visual/Base/easy/graph47.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph516", - "image": "data/matching/graph_visual/Base/easy/graph516.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph125", - "image": "data/matching/graph_visual/Base/easy/graph125.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph461", - "image": "data/matching/graph_visual/Base/easy/graph461.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph404", - "image": "data/matching/graph_visual/Base/easy/graph404.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph558", - "image": "data/matching/graph_visual/Base/easy/graph558.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph79", - "image": "data/matching/graph_visual/Base/easy/graph79.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph547", - "image": "data/matching/graph_visual/Base/easy/graph547.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph488", - "image": "data/matching/graph_visual/Base/easy/graph488.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph275", - "image": "data/matching/graph_visual/Base/easy/graph275.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph273", - "image": "data/matching/graph_visual/Base/easy/graph273.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph566", - "image": "data/matching/graph_visual/Base/easy/graph566.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph335", - "image": "data/matching/graph_visual/Base/easy/graph335.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph62", - "image": "data/matching/graph_visual/Base/easy/graph62.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph333", - "image": "data/matching/graph_visual/Base/easy/graph333.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph537", - "image": "data/matching/graph_visual/Base/easy/graph537.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph6", - "image": "data/matching/graph_visual/Base/easy/graph6.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph474", - "image": "data/matching/graph_visual/Base/easy/graph474.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph43", - "image": "data/matching/graph_visual/Base/easy/graph43.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph82", - "image": "data/matching/graph_visual/Base/easy/graph82.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1", - "image": "data/matching/graph_visual/Base/easy/graph1.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph115", - "image": "data/matching/graph_visual/Base/easy/graph115.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph65", - "image": "data/matching/graph_visual/Base/easy/graph65.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph148", - "image": "data/matching/graph_visual/Base/easy/graph148.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph260", - "image": "data/matching/graph_visual/Base/easy/graph260.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph387", - "image": "data/matching/graph_visual/Base/easy/graph387.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph190", - "image": "data/matching/graph_visual/Base/easy/graph190.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph31", - "image": "data/matching/graph_visual/Base/easy/graph31.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph112", - "image": "data/matching/graph_visual/Base/easy/graph112.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph87", - "image": "data/matching/graph_visual/Base/easy/graph87.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph349", - "image": "data/matching/graph_visual/Base/easy/graph349.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph266", - "image": "data/matching/graph_visual/Base/easy/graph266.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph217", - "image": "data/matching/graph_visual/Base/easy/graph217.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph510", - "image": "data/matching/graph_visual/Base/easy/graph510.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph46", - "image": "data/matching/graph_visual/Base/easy/graph46.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph166", - "image": "data/matching/graph_visual/Base/easy/graph166.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph495", - "image": "data/matching/graph_visual/Base/easy/graph495.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph155", - "image": "data/matching/graph_visual/Base/easy/graph155.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph176", - "image": "data/matching/graph_visual/Base/easy/graph176.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph579", - "image": "data/matching/graph_visual/Base/easy/graph579.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph442", - "image": "data/matching/graph_visual/Base/easy/graph442.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph574", - "image": "data/matching/graph_visual/Base/easy/graph574.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph361", - "image": "data/matching/graph_visual/Base/easy/graph361.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph312", - "image": "data/matching/graph_visual/Base/easy/graph312.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph480", - "image": "data/matching/graph_visual/Base/easy/graph480.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph315", - "image": "data/matching/graph_visual/Base/easy/graph315.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph76", - "image": "data/matching/graph_visual/Base/easy/graph76.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph163", - "image": "data/matching/graph_visual/Base/easy/graph163.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph168", - "image": "data/matching/graph_visual/Base/easy/graph168.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph455", - "image": "data/matching/graph_visual/Base/easy/graph455.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph353", - "image": "data/matching/graph_visual/Base/easy/graph353.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph390", - "image": "data/matching/graph_visual/Base/easy/graph390.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph88", - "image": "data/matching/graph_visual/Base/easy/graph88.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph496", - "image": "data/matching/graph_visual/Base/easy/graph496.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph122", - "image": "data/matching/graph_visual/Base/easy/graph122.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph40", - "image": "data/matching/graph_visual/Base/easy/graph40.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph189", - "image": "data/matching/graph_visual/Base/easy/graph189.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph368", - "image": "data/matching/graph_visual/Base/easy/graph368.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph531", - "image": "data/matching/graph_visual/Base/easy/graph531.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph469", - "image": "data/matching/graph_visual/Base/easy/graph469.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph434", - "image": "data/matching/graph_visual/Base/easy/graph434.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph595", - "image": "data/matching/graph_visual/Base/easy/graph595.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph113", - "image": "data/matching/graph_visual/Base/easy/graph113.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph167", - "image": "data/matching/graph_visual/Base/easy/graph167.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph549", - "image": "data/matching/graph_visual/Base/easy/graph549.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph530", - "image": "data/matching/graph_visual/Base/easy/graph530.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph126", - "image": "data/matching/graph_visual/Base/easy/graph126.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph221", - "image": "data/matching/graph_visual/Base/easy/graph221.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph129", - "image": "data/matching/graph_visual/Base/easy/graph129.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph311", - "image": "data/matching/graph_visual/Base/easy/graph311.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph256", - "image": "data/matching/graph_visual/Base/easy/graph256.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph521", - "image": "data/matching/graph_visual/Base/easy/graph521.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph432", - "image": "data/matching/graph_visual/Base/easy/graph432.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph456", - "image": "data/matching/graph_visual/Base/easy/graph456.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph18", - "image": "data/matching/graph_visual/Base/easy/graph18.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph575", - "image": "data/matching/graph_visual/Base/easy/graph575.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph586", - "image": "data/matching/graph_visual/Base/easy/graph586.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph107", - "image": "data/matching/graph_visual/Base/easy/graph107.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph57", - "image": "data/matching/graph_visual/Base/easy/graph57.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph532", - "image": "data/matching/graph_visual/Base/easy/graph532.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph7", - "image": "data/matching/graph_visual/Base/easy/graph7.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph422", - "image": "data/matching/graph_visual/Base/easy/graph422.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph151", - "image": "data/matching/graph_visual/Base/easy/graph151.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph386", - "image": "data/matching/graph_visual/Base/easy/graph386.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph454", - "image": "data/matching/graph_visual/Base/easy/graph454.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph540", - "image": "data/matching/graph_visual/Base/easy/graph540.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph59", - "image": "data/matching/graph_visual/Base/easy/graph59.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph468", - "image": "data/matching/graph_visual/Base/easy/graph468.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph499", - "image": "data/matching/graph_visual/Base/easy/graph499.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph156", - "image": "data/matching/graph_visual/Base/easy/graph156.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph294", - "image": "data/matching/graph_visual/Base/easy/graph294.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph503", - "image": "data/matching/graph_visual/Base/easy/graph503.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph599", - "image": "data/matching/graph_visual/Base/easy/graph599.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph268", - "image": "data/matching/graph_visual/Base/easy/graph268.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph507", - "image": "data/matching/graph_visual/Base/easy/graph507.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph215", - "image": "data/matching/graph_visual/Base/easy/graph215.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph327", - "image": "data/matching/graph_visual/Base/easy/graph327.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph408", - "image": "data/matching/graph_visual/Base/easy/graph408.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph343", - "image": "data/matching/graph_visual/Base/easy/graph343.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph200", - "image": "data/matching/graph_visual/Base/easy/graph200.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph489", - "image": "data/matching/graph_visual/Base/easy/graph489.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph109", - "image": "data/matching/graph_visual/Base/easy/graph109.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph318", - "image": "data/matching/graph_visual/Base/easy/graph318.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph139", - "image": "data/matching/graph_visual/Base/easy/graph139.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph309", - "image": "data/matching/graph_visual/Base/easy/graph309.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph45", - "image": "data/matching/graph_visual/Base/easy/graph45.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph287", - "image": "data/matching/graph_visual/Base/easy/graph287.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph304", - "image": "data/matching/graph_visual/Base/easy/graph304.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph289", - "image": "data/matching/graph_visual/Base/easy/graph289.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph37", - "image": "data/matching/graph_visual/Base/easy/graph37.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph501", - "image": "data/matching/graph_visual/Base/easy/graph501.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph357", - "image": "data/matching/graph_visual/Base/easy/graph357.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph314", - "image": "data/matching/graph_visual/Base/easy/graph314.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph128", - "image": "data/matching/graph_visual/Base/easy/graph128.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph141", - "image": "data/matching/graph_visual/Base/easy/graph141.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph423", - "image": "data/matching/graph_visual/Base/easy/graph423.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph303", - "image": "data/matching/graph_visual/Base/easy/graph303.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph409", - "image": "data/matching/graph_visual/Base/easy/graph409.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph564", - "image": "data/matching/graph_visual/Base/easy/graph564.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph8", - "image": "data/matching/graph_visual/Base/easy/graph8.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph543", - "image": "data/matching/graph_visual/Base/easy/graph543.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph498", - "image": "data/matching/graph_visual/Base/easy/graph498.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph544", - "image": "data/matching/graph_visual/Base/easy/graph544.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph522", - "image": "data/matching/graph_visual/Base/easy/graph522.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph552", - "image": "data/matching/graph_visual/Base/easy/graph552.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph376", - "image": "data/matching/graph_visual/Base/easy/graph376.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph403", - "image": "data/matching/graph_visual/Base/easy/graph403.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph144", - "image": "data/matching/graph_visual/Base/easy/graph144.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph91", - "image": "data/matching/graph_visual/Base/easy/graph91.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph290", - "image": "data/matching/graph_visual/Base/easy/graph290.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph363", - "image": "data/matching/graph_visual/Base/easy/graph363.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph487", - "image": "data/matching/graph_visual/Base/easy/graph487.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph162", - "image": "data/matching/graph_visual/Base/easy/graph162.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph374", - "image": "data/matching/graph_visual/Base/easy/graph374.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph340", - "image": "data/matching/graph_visual/Base/easy/graph340.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph477", - "image": "data/matching/graph_visual/Base/easy/graph477.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph41", - "image": "data/matching/graph_visual/Base/easy/graph41.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph5", - "image": "data/matching/graph_visual/Base/easy/graph5.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph15", - "image": "data/matching/graph_visual/Base/easy/graph15.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph445", - "image": "data/matching/graph_visual/Base/easy/graph445.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1145", - "image": "data/matching/graph_visual/Base/hard/graph1145.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph544", - "image": "data/matching/graph_visual/Base/hard/graph544.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph42", - "image": "data/matching/graph_visual/Base/hard/graph42.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph657", - "image": "data/matching/graph_visual/Base/hard/graph657.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph762", - "image": "data/matching/graph_visual/Base/hard/graph762.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph5", - "image": "data/matching/graph_visual/Base/hard/graph5.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph637", - "image": "data/matching/graph_visual/Base/hard/graph637.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph192", - "image": "data/matching/graph_visual/Base/hard/graph192.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph834", - "image": "data/matching/graph_visual/Base/hard/graph834.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1090", - "image": "data/matching/graph_visual/Base/hard/graph1090.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1091", - "image": "data/matching/graph_visual/Base/hard/graph1091.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph648", - "image": "data/matching/graph_visual/Base/hard/graph648.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph155", - "image": "data/matching/graph_visual/Base/hard/graph155.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1238", - "image": "data/matching/graph_visual/Base/hard/graph1238.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph332", - "image": "data/matching/graph_visual/Base/hard/graph332.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph315", - "image": "data/matching/graph_visual/Base/hard/graph315.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph469", - "image": "data/matching/graph_visual/Base/hard/graph469.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1030", - "image": "data/matching/graph_visual/Base/hard/graph1030.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph653", - "image": "data/matching/graph_visual/Base/hard/graph653.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph89", - "image": "data/matching/graph_visual/Base/hard/graph89.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1157", - "image": "data/matching/graph_visual/Base/hard/graph1157.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph43", - "image": "data/matching/graph_visual/Base/hard/graph43.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph935", - "image": "data/matching/graph_visual/Base/hard/graph935.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph341", - "image": "data/matching/graph_visual/Base/hard/graph341.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph160", - "image": "data/matching/graph_visual/Base/hard/graph160.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph719", - "image": "data/matching/graph_visual/Base/hard/graph719.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph952", - "image": "data/matching/graph_visual/Base/hard/graph952.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph99", - "image": "data/matching/graph_visual/Base/hard/graph99.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph388", - "image": "data/matching/graph_visual/Base/hard/graph388.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph831", - "image": "data/matching/graph_visual/Base/hard/graph831.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph304", - "image": "data/matching/graph_visual/Base/hard/graph304.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph245", - "image": "data/matching/graph_visual/Base/hard/graph245.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph636", - "image": "data/matching/graph_visual/Base/hard/graph636.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph881", - "image": "data/matching/graph_visual/Base/hard/graph881.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph406", - "image": "data/matching/graph_visual/Base/hard/graph406.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph471", - "image": "data/matching/graph_visual/Base/hard/graph471.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph929", - "image": "data/matching/graph_visual/Base/hard/graph929.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph6", - "image": "data/matching/graph_visual/Base/hard/graph6.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph607", - "image": "data/matching/graph_visual/Base/hard/graph607.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1250", - "image": "data/matching/graph_visual/Base/hard/graph1250.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph433", - "image": "data/matching/graph_visual/Base/hard/graph433.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph15", - "image": "data/matching/graph_visual/Base/hard/graph15.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph17", - "image": "data/matching/graph_visual/Base/hard/graph17.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph692", - "image": "data/matching/graph_visual/Base/hard/graph692.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph55", - "image": "data/matching/graph_visual/Base/hard/graph55.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph146", - "image": "data/matching/graph_visual/Base/hard/graph146.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph777", - "image": "data/matching/graph_visual/Base/hard/graph777.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1183", - "image": "data/matching/graph_visual/Base/hard/graph1183.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1044", - "image": "data/matching/graph_visual/Base/hard/graph1044.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph858", - "image": "data/matching/graph_visual/Base/hard/graph858.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph298", - "image": "data/matching/graph_visual/Base/hard/graph298.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph571", - "image": "data/matching/graph_visual/Base/hard/graph571.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph147", - "image": "data/matching/graph_visual/Base/hard/graph147.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph232", - "image": "data/matching/graph_visual/Base/hard/graph232.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph911", - "image": "data/matching/graph_visual/Base/hard/graph911.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph502", - "image": "data/matching/graph_visual/Base/hard/graph502.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph139", - "image": "data/matching/graph_visual/Base/hard/graph139.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph855", - "image": "data/matching/graph_visual/Base/hard/graph855.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1153", - "image": "data/matching/graph_visual/Base/hard/graph1153.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph905", - "image": "data/matching/graph_visual/Base/hard/graph905.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph184", - "image": "data/matching/graph_visual/Base/hard/graph184.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph342", - "image": "data/matching/graph_visual/Base/hard/graph342.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1203", - "image": "data/matching/graph_visual/Base/hard/graph1203.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph844", - "image": "data/matching/graph_visual/Base/hard/graph844.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1002", - "image": "data/matching/graph_visual/Base/hard/graph1002.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph346", - "image": "data/matching/graph_visual/Base/hard/graph346.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph712", - "image": "data/matching/graph_visual/Base/hard/graph712.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph26", - "image": "data/matching/graph_visual/Base/hard/graph26.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1001", - "image": "data/matching/graph_visual/Base/hard/graph1001.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph509", - "image": "data/matching/graph_visual/Base/hard/graph509.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph143", - "image": "data/matching/graph_visual/Base/hard/graph143.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph978", - "image": "data/matching/graph_visual/Base/hard/graph978.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph772", - "image": "data/matching/graph_visual/Base/hard/graph772.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1019", - "image": "data/matching/graph_visual/Base/hard/graph1019.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph130", - "image": "data/matching/graph_visual/Base/hard/graph130.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1069", - "image": "data/matching/graph_visual/Base/hard/graph1069.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph602", - "image": "data/matching/graph_visual/Base/hard/graph602.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph85", - "image": "data/matching/graph_visual/Base/hard/graph85.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph540", - "image": "data/matching/graph_visual/Base/hard/graph540.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1070", - "image": "data/matching/graph_visual/Base/hard/graph1070.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph886", - "image": "data/matching/graph_visual/Base/hard/graph886.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1223", - "image": "data/matching/graph_visual/Base/hard/graph1223.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1005", - "image": "data/matching/graph_visual/Base/hard/graph1005.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph75", - "image": "data/matching/graph_visual/Base/hard/graph75.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1003", - "image": "data/matching/graph_visual/Base/hard/graph1003.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph252", - "image": "data/matching/graph_visual/Base/hard/graph252.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1116", - "image": "data/matching/graph_visual/Base/hard/graph1116.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph717", - "image": "data/matching/graph_visual/Base/hard/graph717.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph771", - "image": "data/matching/graph_visual/Base/hard/graph771.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph277", - "image": "data/matching/graph_visual/Base/hard/graph277.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph569", - "image": "data/matching/graph_visual/Base/hard/graph569.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph922", - "image": "data/matching/graph_visual/Base/hard/graph922.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph998", - "image": "data/matching/graph_visual/Base/hard/graph998.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph966", - "image": "data/matching/graph_visual/Base/hard/graph966.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph963", - "image": "data/matching/graph_visual/Base/hard/graph963.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph793", - "image": "data/matching/graph_visual/Base/hard/graph793.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph849", - "image": "data/matching/graph_visual/Base/hard/graph849.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph177", - "image": "data/matching/graph_visual/Base/hard/graph177.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph769", - "image": "data/matching/graph_visual/Base/hard/graph769.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1194", - "image": "data/matching/graph_visual/Base/hard/graph1194.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph764", - "image": "data/matching/graph_visual/Base/hard/graph764.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph463", - "image": "data/matching/graph_visual/Base/hard/graph463.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph20", - "image": "data/matching/graph_visual/Base/hard/graph20.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph698", - "image": "data/matching/graph_visual/Base/hard/graph698.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1054", - "image": "data/matching/graph_visual/Base/hard/graph1054.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph706", - "image": "data/matching/graph_visual/Base/hard/graph706.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph166", - "image": "data/matching/graph_visual/Base/hard/graph166.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph606", - "image": "data/matching/graph_visual/Base/hard/graph606.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph380", - "image": "data/matching/graph_visual/Base/hard/graph380.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph507", - "image": "data/matching/graph_visual/Base/hard/graph507.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph839", - "image": "data/matching/graph_visual/Base/hard/graph839.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph235", - "image": "data/matching/graph_visual/Base/hard/graph235.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph330", - "image": "data/matching/graph_visual/Base/hard/graph330.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph165", - "image": "data/matching/graph_visual/Base/hard/graph165.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph914", - "image": "data/matching/graph_visual/Base/hard/graph914.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph969", - "image": "data/matching/graph_visual/Base/hard/graph969.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph131", - "image": "data/matching/graph_visual/Base/hard/graph131.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph414", - "image": "data/matching/graph_visual/Base/hard/graph414.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph875", - "image": "data/matching/graph_visual/Base/hard/graph875.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph734", - "image": "data/matching/graph_visual/Base/hard/graph734.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph421", - "image": "data/matching/graph_visual/Base/hard/graph421.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph604", - "image": "data/matching/graph_visual/Base/hard/graph604.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph643", - "image": "data/matching/graph_visual/Base/hard/graph643.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph770", - "image": "data/matching/graph_visual/Base/hard/graph770.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph601", - "image": "data/matching/graph_visual/Base/hard/graph601.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph0", - "image": "data/matching/graph_visual/Base/hard/graph0.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph444", - "image": "data/matching/graph_visual/Base/hard/graph444.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1142", - "image": "data/matching/graph_visual/Base/hard/graph1142.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph208", - "image": "data/matching/graph_visual/Base/hard/graph208.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1079", - "image": "data/matching/graph_visual/Base/hard/graph1079.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1033", - "image": "data/matching/graph_visual/Base/hard/graph1033.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph776", - "image": "data/matching/graph_visual/Base/hard/graph776.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph418", - "image": "data/matching/graph_visual/Base/hard/graph418.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph231", - "image": "data/matching/graph_visual/Base/hard/graph231.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph196", - "image": "data/matching/graph_visual/Base/hard/graph196.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph681", - "image": "data/matching/graph_visual/Base/hard/graph681.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1165", - "image": "data/matching/graph_visual/Base/hard/graph1165.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph757", - "image": "data/matching/graph_visual/Base/hard/graph757.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph300", - "image": "data/matching/graph_visual/Base/hard/graph300.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph241", - "image": "data/matching/graph_visual/Base/hard/graph241.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph880", - "image": "data/matching/graph_visual/Base/hard/graph880.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph560", - "image": "data/matching/graph_visual/Base/hard/graph560.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph65", - "image": "data/matching/graph_visual/Base/hard/graph65.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1220", - "image": "data/matching/graph_visual/Base/hard/graph1220.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph409", - "image": "data/matching/graph_visual/Base/hard/graph409.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph271", - "image": "data/matching/graph_visual/Base/hard/graph271.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph311", - "image": "data/matching/graph_visual/Base/hard/graph311.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph845", - "image": "data/matching/graph_visual/Base/hard/graph845.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph242", - "image": "data/matching/graph_visual/Base/hard/graph242.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph552", - "image": "data/matching/graph_visual/Base/hard/graph552.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph478", - "image": "data/matching/graph_visual/Base/hard/graph478.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph621", - "image": "data/matching/graph_visual/Base/hard/graph621.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph977", - "image": "data/matching/graph_visual/Base/hard/graph977.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph399", - "image": "data/matching/graph_visual/Base/hard/graph399.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph339", - "image": "data/matching/graph_visual/Base/hard/graph339.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph458", - "image": "data/matching/graph_visual/Base/hard/graph458.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph417", - "image": "data/matching/graph_visual/Base/hard/graph417.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph774", - "image": "data/matching/graph_visual/Base/hard/graph774.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph305", - "image": "data/matching/graph_visual/Base/hard/graph305.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1107", - "image": "data/matching/graph_visual/Base/hard/graph1107.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph564", - "image": "data/matching/graph_visual/Base/hard/graph564.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph216", - "image": "data/matching/graph_visual/Base/hard/graph216.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph599", - "image": "data/matching/graph_visual/Base/hard/graph599.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1247", - "image": "data/matching/graph_visual/Base/hard/graph1247.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph163", - "image": "data/matching/graph_visual/Base/hard/graph163.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1237", - "image": "data/matching/graph_visual/Base/hard/graph1237.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph4", - "image": "data/matching/graph_visual/Base/hard/graph4.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph368", - "image": "data/matching/graph_visual/Base/hard/graph368.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph662", - "image": "data/matching/graph_visual/Base/hard/graph662.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph81", - "image": "data/matching/graph_visual/Base/hard/graph81.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1148", - "image": "data/matching/graph_visual/Base/hard/graph1148.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph148", - "image": "data/matching/graph_visual/Base/hard/graph148.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph194", - "image": "data/matching/graph_visual/Base/hard/graph194.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph343", - "image": "data/matching/graph_visual/Base/hard/graph343.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph508", - "image": "data/matching/graph_visual/Base/hard/graph508.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph413", - "image": "data/matching/graph_visual/Base/hard/graph413.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph367", - "image": "data/matching/graph_visual/Base/hard/graph367.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph229", - "image": "data/matching/graph_visual/Base/hard/graph229.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1121", - "image": "data/matching/graph_visual/Base/hard/graph1121.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph549", - "image": "data/matching/graph_visual/Base/hard/graph549.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph892", - "image": "data/matching/graph_visual/Base/hard/graph892.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph135", - "image": "data/matching/graph_visual/Base/hard/graph135.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph221", - "image": "data/matching/graph_visual/Base/hard/graph221.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph162", - "image": "data/matching/graph_visual/Base/hard/graph162.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph554", - "image": "data/matching/graph_visual/Base/hard/graph554.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph696", - "image": "data/matching/graph_visual/Base/hard/graph696.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph233", - "image": "data/matching/graph_visual/Base/hard/graph233.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph261", - "image": "data/matching/graph_visual/Base/hard/graph261.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph203", - "image": "data/matching/graph_visual/Base/hard/graph203.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph142", - "image": "data/matching/graph_visual/Base/hard/graph142.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph708", - "image": "data/matching/graph_visual/Base/hard/graph708.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph611", - "image": "data/matching/graph_visual/Base/hard/graph611.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph666", - "image": "data/matching/graph_visual/Base/hard/graph666.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph78", - "image": "data/matching/graph_visual/Base/hard/graph78.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph234", - "image": "data/matching/graph_visual/Base/hard/graph234.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph603", - "image": "data/matching/graph_visual/Base/hard/graph603.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph500", - "image": "data/matching/graph_visual/Base/hard/graph500.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph22", - "image": "data/matching/graph_visual/Base/hard/graph22.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph650", - "image": "data/matching/graph_visual/Base/hard/graph650.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph823", - "image": "data/matching/graph_visual/Base/hard/graph823.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1144", - "image": "data/matching/graph_visual/Base/hard/graph1144.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph596", - "image": "data/matching/graph_visual/Base/hard/graph596.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph503", - "image": "data/matching/graph_visual/Base/hard/graph503.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1133", - "image": "data/matching/graph_visual/Base/hard/graph1133.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph152", - "image": "data/matching/graph_visual/Base/hard/graph152.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph610", - "image": "data/matching/graph_visual/Base/hard/graph610.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph684", - "image": "data/matching/graph_visual/Base/hard/graph684.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph117", - "image": "data/matching/graph_visual/Base/hard/graph117.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph511", - "image": "data/matching/graph_visual/Base/hard/graph511.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph667", - "image": "data/matching/graph_visual/Base/hard/graph667.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph718", - "image": "data/matching/graph_visual/Base/hard/graph718.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1176", - "image": "data/matching/graph_visual/Base/hard/graph1176.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph820", - "image": "data/matching/graph_visual/Base/hard/graph820.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph338", - "image": "data/matching/graph_visual/Base/hard/graph338.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph67", - "image": "data/matching/graph_visual/Base/hard/graph67.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph350", - "image": "data/matching/graph_visual/Base/hard/graph350.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph516", - "image": "data/matching/graph_visual/Base/hard/graph516.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1042", - "image": "data/matching/graph_visual/Base/hard/graph1042.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph32", - "image": "data/matching/graph_visual/Base/hard/graph32.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph739", - "image": "data/matching/graph_visual/Base/hard/graph739.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1122", - "image": "data/matching/graph_visual/Base/hard/graph1122.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1017", - "image": "data/matching/graph_visual/Base/hard/graph1017.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1210", - "image": "data/matching/graph_visual/Base/hard/graph1210.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph19", - "image": "data/matching/graph_visual/Base/hard/graph19.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1254", - "image": "data/matching/graph_visual/Base/hard/graph1254.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph975", - "image": "data/matching/graph_visual/Base/hard/graph975.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph931", - "image": "data/matching/graph_visual/Base/hard/graph931.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph59", - "image": "data/matching/graph_visual/Base/hard/graph59.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph243", - "image": "data/matching/graph_visual/Base/hard/graph243.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph189", - "image": "data/matching/graph_visual/Base/hard/graph189.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph18", - "image": "data/matching/graph_visual/Base/hard/graph18.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph664", - "image": "data/matching/graph_visual/Base/hard/graph664.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph353", - "image": "data/matching/graph_visual/Base/hard/graph353.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph266", - "image": "data/matching/graph_visual/Base/hard/graph266.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph289", - "image": "data/matching/graph_visual/Base/hard/graph289.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph581", - "image": "data/matching/graph_visual/Base/hard/graph581.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1011", - "image": "data/matching/graph_visual/Base/hard/graph1011.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph728", - "image": "data/matching/graph_visual/Base/hard/graph728.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph700", - "image": "data/matching/graph_visual/Base/hard/graph700.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph110", - "image": "data/matching/graph_visual/Base/hard/graph110.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph461", - "image": "data/matching/graph_visual/Base/hard/graph461.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1215", - "image": "data/matching/graph_visual/Base/hard/graph1215.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph846", - "image": "data/matching/graph_visual/Base/hard/graph846.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph79", - "image": "data/matching/graph_visual/Base/hard/graph79.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph475", - "image": "data/matching/graph_visual/Base/hard/graph475.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph617", - "image": "data/matching/graph_visual/Base/hard/graph617.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph29", - "image": "data/matching/graph_visual/Base/hard/graph29.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph77", - "image": "data/matching/graph_visual/Base/hard/graph77.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph273", - "image": "data/matching/graph_visual/Base/hard/graph273.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph504", - "image": "data/matching/graph_visual/Base/hard/graph504.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1124", - "image": "data/matching/graph_visual/Base/hard/graph1124.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph572", - "image": "data/matching/graph_visual/Base/hard/graph572.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph758", - "image": "data/matching/graph_visual/Base/hard/graph758.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph812", - "image": "data/matching/graph_visual/Base/hard/graph812.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph246", - "image": "data/matching/graph_visual/Base/hard/graph246.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph605", - "image": "data/matching/graph_visual/Base/hard/graph605.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph236", - "image": "data/matching/graph_visual/Base/hard/graph236.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph868", - "image": "data/matching/graph_visual/Base/hard/graph868.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1138", - "image": "data/matching/graph_visual/Base/hard/graph1138.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph925", - "image": "data/matching/graph_visual/Base/hard/graph925.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph568", - "image": "data/matching/graph_visual/Base/hard/graph568.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph402", - "image": "data/matching/graph_visual/Base/hard/graph402.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph7", - "image": "data/matching/graph_visual/Base/hard/graph7.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph314", - "image": "data/matching/graph_visual/Base/hard/graph314.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph225", - "image": "data/matching/graph_visual/Base/hard/graph225.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph707", - "image": "data/matching/graph_visual/Base/hard/graph707.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph312", - "image": "data/matching/graph_visual/Base/hard/graph312.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph545", - "image": "data/matching/graph_visual/Base/hard/graph545.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph840", - "image": "data/matching/graph_visual/Base/hard/graph840.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph563", - "image": "data/matching/graph_visual/Base/hard/graph563.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1130", - "image": "data/matching/graph_visual/Base/hard/graph1130.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph981", - "image": "data/matching/graph_visual/Base/hard/graph981.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1067", - "image": "data/matching/graph_visual/Base/hard/graph1067.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph903", - "image": "data/matching/graph_visual/Base/hard/graph903.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph348", - "image": "data/matching/graph_visual/Base/hard/graph348.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph121", - "image": "data/matching/graph_visual/Base/hard/graph121.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph281", - "image": "data/matching/graph_visual/Base/hard/graph281.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph126", - "image": "data/matching/graph_visual/Base/hard/graph126.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph129", - "image": "data/matching/graph_visual/Base/hard/graph129.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph551", - "image": "data/matching/graph_visual/Base/hard/graph551.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph345", - "image": "data/matching/graph_visual/Base/hard/graph345.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph68", - "image": "data/matching/graph_visual/Base/hard/graph68.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph145", - "image": "data/matching/graph_visual/Base/hard/graph145.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph656", - "image": "data/matching/graph_visual/Base/hard/graph656.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1192", - "image": "data/matching/graph_visual/Base/hard/graph1192.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph331", - "image": "data/matching/graph_visual/Base/hard/graph331.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph597", - "image": "data/matching/graph_visual/Base/hard/graph597.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph202", - "image": "data/matching/graph_visual/Base/hard/graph202.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph795", - "image": "data/matching/graph_visual/Base/hard/graph795.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph654", - "image": "data/matching/graph_visual/Base/hard/graph654.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph897", - "image": "data/matching/graph_visual/Base/hard/graph897.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph306", - "image": "data/matching/graph_visual/Base/hard/graph306.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph918", - "image": "data/matching/graph_visual/Base/hard/graph918.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph199", - "image": "data/matching/graph_visual/Base/hard/graph199.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1178", - "image": "data/matching/graph_visual/Base/hard/graph1178.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1166", - "image": "data/matching/graph_visual/Base/hard/graph1166.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph276", - "image": "data/matching/graph_visual/Base/hard/graph276.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph218", - "image": "data/matching/graph_visual/Base/hard/graph218.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph517", - "image": "data/matching/graph_visual/Base/hard/graph517.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph926", - "image": "data/matching/graph_visual/Base/hard/graph926.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph411", - "image": "data/matching/graph_visual/Base/hard/graph411.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1155", - "image": "data/matching/graph_visual/Base/hard/graph1155.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph576", - "image": "data/matching/graph_visual/Base/hard/graph576.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph183", - "image": "data/matching/graph_visual/Base/hard/graph183.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph515", - "image": "data/matching/graph_visual/Base/hard/graph515.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph11", - "image": "data/matching/graph_visual/Base/hard/graph11.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph378", - "image": "data/matching/graph_visual/Base/hard/graph378.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph87", - "image": "data/matching/graph_visual/Base/hard/graph87.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph253", - "image": "data/matching/graph_visual/Base/hard/graph253.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph588", - "image": "data/matching/graph_visual/Base/hard/graph588.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph542", - "image": "data/matching/graph_visual/Base/hard/graph542.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph660", - "image": "data/matching/graph_visual/Base/hard/graph660.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1010", - "image": "data/matching/graph_visual/Base/hard/graph1010.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph381", - "image": "data/matching/graph_visual/Base/hard/graph381.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph136", - "image": "data/matching/graph_visual/Base/hard/graph136.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph888", - "image": "data/matching/graph_visual/Base/hard/graph888.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph876", - "image": "data/matching/graph_visual/Base/hard/graph876.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph37", - "image": "data/matching/graph_visual/Base/hard/graph37.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph269", - "image": "data/matching/graph_visual/Base/hard/graph269.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph783", - "image": "data/matching/graph_visual/Base/hard/graph783.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph187", - "image": "data/matching/graph_visual/Base/hard/graph187.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph689", - "image": "data/matching/graph_visual/Base/hard/graph689.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph930", - "image": "data/matching/graph_visual/Base/hard/graph930.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph182", - "image": "data/matching/graph_visual/Base/hard/graph182.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph169", - "image": "data/matching/graph_visual/Base/hard/graph169.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph609", - "image": "data/matching/graph_visual/Base/hard/graph609.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph434", - "image": "data/matching/graph_visual/Base/hard/graph434.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1125", - "image": "data/matching/graph_visual/Base/hard/graph1125.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph401", - "image": "data/matching/graph_visual/Base/hard/graph401.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph357", - "image": "data/matching/graph_visual/Base/hard/graph357.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph134", - "image": "data/matching/graph_visual/Base/hard/graph134.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph228", - "image": "data/matching/graph_visual/Base/hard/graph228.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph634", - "image": "data/matching/graph_visual/Base/hard/graph634.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph175", - "image": "data/matching/graph_visual/Base/hard/graph175.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1181", - "image": "data/matching/graph_visual/Base/hard/graph1181.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph197", - "image": "data/matching/graph_visual/Base/hard/graph197.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph593", - "image": "data/matching/graph_visual/Base/hard/graph593.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph524", - "image": "data/matching/graph_visual/Base/hard/graph524.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1197", - "image": "data/matching/graph_visual/Base/hard/graph1197.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph167", - "image": "data/matching/graph_visual/Base/hard/graph167.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph389", - "image": "data/matching/graph_visual/Base/hard/graph389.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph404", - "image": "data/matching/graph_visual/Base/hard/graph404.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph773", - "image": "data/matching/graph_visual/Base/hard/graph773.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph682", - "image": "data/matching/graph_visual/Base/hard/graph682.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1199", - "image": "data/matching/graph_visual/Base/hard/graph1199.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph842", - "image": "data/matching/graph_visual/Base/hard/graph842.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph477", - "image": "data/matching/graph_visual/Base/hard/graph477.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph789", - "image": "data/matching/graph_visual/Base/hard/graph789.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph674", - "image": "data/matching/graph_visual/Base/hard/graph674.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1212", - "image": "data/matching/graph_visual/Base/hard/graph1212.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1221", - "image": "data/matching/graph_visual/Base/hard/graph1221.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1084", - "image": "data/matching/graph_visual/Base/hard/graph1084.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph799", - "image": "data/matching/graph_visual/Base/hard/graph799.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph898", - "image": "data/matching/graph_visual/Base/hard/graph898.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph786", - "image": "data/matching/graph_visual/Base/hard/graph786.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph140", - "image": "data/matching/graph_visual/Base/hard/graph140.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph296", - "image": "data/matching/graph_visual/Base/hard/graph296.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph284", - "image": "data/matching/graph_visual/Base/hard/graph284.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph686", - "image": "data/matching/graph_visual/Base/hard/graph686.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1249", - "image": "data/matching/graph_visual/Base/hard/graph1249.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph553", - "image": "data/matching/graph_visual/Base/hard/graph553.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1150", - "image": "data/matching/graph_visual/Base/hard/graph1150.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph206", - "image": "data/matching/graph_visual/Base/hard/graph206.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1200", - "image": "data/matching/graph_visual/Base/hard/graph1200.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1154", - "image": "data/matching/graph_visual/Base/hard/graph1154.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph8", - "image": "data/matching/graph_visual/Base/hard/graph8.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph830", - "image": "data/matching/graph_visual/Base/hard/graph830.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph293", - "image": "data/matching/graph_visual/Base/hard/graph293.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1006", - "image": "data/matching/graph_visual/Base/hard/graph1006.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1227", - "image": "data/matching/graph_visual/Base/hard/graph1227.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1143", - "image": "data/matching/graph_visual/Base/hard/graph1143.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph920", - "image": "data/matching/graph_visual/Base/hard/graph920.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph787", - "image": "data/matching/graph_visual/Base/hard/graph787.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph278", - "image": "data/matching/graph_visual/Base/hard/graph278.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph701", - "image": "data/matching/graph_visual/Base/hard/graph701.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph264", - "image": "data/matching/graph_visual/Base/hard/graph264.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph424", - "image": "data/matching/graph_visual/Base/hard/graph424.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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-graph1184", - "image": "data/matching/graph_visual/Base/hard/graph1184.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, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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." - } - ] - } -] \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:7997adafd902ec5bf1da40726fea2926b44c6f7f188d39a39a07c55e13c09a62 +size 416767