diff --git "a/data/matching/QA/Base/Vision_Only_train.json" "b/data/matching/QA/Base/Vision_Only_train.json" --- "a/data/matching/QA/Base/Vision_Only_train.json" +++ "b/data/matching/QA/Base/Vision_Only_train.json" @@ -1,18230 +1,3 @@ -[ - { - "id": "matching-easy-graph56", - "image": "data/matching/graph_visual/Base/easy/graph56.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph52", - "image": "data/matching/graph_visual/Base/easy/graph52.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph452", - "image": "data/matching/graph_visual/Base/easy/graph452.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph542", - "image": "data/matching/graph_visual/Base/easy/graph542.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph12", - "image": "data/matching/graph_visual/Base/easy/graph12.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "1." - } - ] - }, - { - "id": "matching-easy-graph4", - "image": "data/matching/graph_visual/Base/easy/graph4.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph336", - "image": "data/matching/graph_visual/Base/easy/graph336.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph511", - "image": "data/matching/graph_visual/Base/easy/graph511.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph150", - "image": "data/matching/graph_visual/Base/easy/graph150.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph240", - "image": "data/matching/graph_visual/Base/easy/graph240.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph55", - "image": "data/matching/graph_visual/Base/easy/graph55.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph229", - "image": "data/matching/graph_visual/Base/easy/graph229.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph373", - "image": "data/matching/graph_visual/Base/easy/graph373.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph300", - "image": "data/matching/graph_visual/Base/easy/graph300.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph428", - "image": "data/matching/graph_visual/Base/easy/graph428.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph81", - "image": "data/matching/graph_visual/Base/easy/graph81.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph84", - "image": "data/matching/graph_visual/Base/easy/graph84.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph534", - "image": "data/matching/graph_visual/Base/easy/graph534.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph395", - "image": "data/matching/graph_visual/Base/easy/graph395.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph219", - "image": "data/matching/graph_visual/Base/easy/graph219.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph188", - "image": "data/matching/graph_visual/Base/easy/graph188.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph22", - "image": "data/matching/graph_visual/Base/easy/graph22.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph226", - "image": "data/matching/graph_visual/Base/easy/graph226.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph491", - "image": "data/matching/graph_visual/Base/easy/graph491.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph492", - "image": "data/matching/graph_visual/Base/easy/graph492.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph27", - "image": "data/matching/graph_visual/Base/easy/graph27.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph67", - "image": "data/matching/graph_visual/Base/easy/graph67.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph64", - "image": "data/matching/graph_visual/Base/easy/graph64.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph159", - "image": "data/matching/graph_visual/Base/easy/graph159.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph570", - "image": "data/matching/graph_visual/Base/easy/graph570.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph344", - "image": "data/matching/graph_visual/Base/easy/graph344.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph96", - "image": "data/matching/graph_visual/Base/easy/graph96.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph186", - "image": "data/matching/graph_visual/Base/easy/graph186.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph592", - "image": "data/matching/graph_visual/Base/easy/graph592.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph320", - "image": "data/matching/graph_visual/Base/easy/graph320.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph425", - "image": "data/matching/graph_visual/Base/easy/graph425.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph494", - "image": "data/matching/graph_visual/Base/easy/graph494.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph556", - "image": "data/matching/graph_visual/Base/easy/graph556.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph583", - "image": "data/matching/graph_visual/Base/easy/graph583.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph121", - "image": "data/matching/graph_visual/Base/easy/graph121.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph451", - "image": "data/matching/graph_visual/Base/easy/graph451.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph230", - "image": "data/matching/graph_visual/Base/easy/graph230.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph252", - "image": "data/matching/graph_visual/Base/easy/graph252.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph92", - "image": "data/matching/graph_visual/Base/easy/graph92.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph310", - "image": "data/matching/graph_visual/Base/easy/graph310.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph248", - "image": "data/matching/graph_visual/Base/easy/graph248.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph347", - "image": "data/matching/graph_visual/Base/easy/graph347.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph465", - "image": "data/matching/graph_visual/Base/easy/graph465.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph369", - "image": "data/matching/graph_visual/Base/easy/graph369.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph180", - "image": "data/matching/graph_visual/Base/easy/graph180.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph222", - "image": "data/matching/graph_visual/Base/easy/graph222.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph16", - "image": "data/matching/graph_visual/Base/easy/graph16.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph33", - "image": "data/matching/graph_visual/Base/easy/graph33.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph83", - "image": "data/matching/graph_visual/Base/easy/graph83.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph178", - "image": "data/matching/graph_visual/Base/easy/graph178.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph550", - "image": "data/matching/graph_visual/Base/easy/graph550.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph581", - "image": "data/matching/graph_visual/Base/easy/graph581.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph504", - "image": "data/matching/graph_visual/Base/easy/graph504.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph134", - "image": "data/matching/graph_visual/Base/easy/graph134.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph205", - "image": "data/matching/graph_visual/Base/easy/graph205.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph199", - "image": "data/matching/graph_visual/Base/easy/graph199.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph554", - "image": "data/matching/graph_visual/Base/easy/graph554.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph143", - "image": "data/matching/graph_visual/Base/easy/graph143.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph593", - "image": "data/matching/graph_visual/Base/easy/graph593.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph412", - "image": "data/matching/graph_visual/Base/easy/graph412.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph36", - "image": "data/matching/graph_visual/Base/easy/graph36.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph161", - "image": "data/matching/graph_visual/Base/easy/graph161.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph365", - "image": "data/matching/graph_visual/Base/easy/graph365.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph26", - "image": "data/matching/graph_visual/Base/easy/graph26.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph171", - "image": "data/matching/graph_visual/Base/easy/graph171.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph210", - "image": "data/matching/graph_visual/Base/easy/graph210.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph89", - "image": "data/matching/graph_visual/Base/easy/graph89.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph441", - "image": "data/matching/graph_visual/Base/easy/graph441.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph241", - "image": "data/matching/graph_visual/Base/easy/graph241.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph476", - "image": "data/matching/graph_visual/Base/easy/graph476.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph130", - "image": "data/matching/graph_visual/Base/easy/graph130.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph306", - "image": "data/matching/graph_visual/Base/easy/graph306.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph137", - "image": "data/matching/graph_visual/Base/easy/graph137.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph329", - "image": "data/matching/graph_visual/Base/easy/graph329.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph486", - "image": "data/matching/graph_visual/Base/easy/graph486.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph53", - "image": "data/matching/graph_visual/Base/easy/graph53.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph145", - "image": "data/matching/graph_visual/Base/easy/graph145.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph58", - "image": "data/matching/graph_visual/Base/easy/graph58.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph154", - "image": "data/matching/graph_visual/Base/easy/graph154.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph227", - "image": "data/matching/graph_visual/Base/easy/graph227.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph405", - "image": "data/matching/graph_visual/Base/easy/graph405.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph539", - "image": "data/matching/graph_visual/Base/easy/graph539.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph375", - "image": "data/matching/graph_visual/Base/easy/graph375.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph352", - "image": "data/matching/graph_visual/Base/easy/graph352.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph237", - "image": "data/matching/graph_visual/Base/easy/graph237.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph330", - "image": "data/matching/graph_visual/Base/easy/graph330.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph460", - "image": "data/matching/graph_visual/Base/easy/graph460.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph94", - "image": "data/matching/graph_visual/Base/easy/graph94.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph414", - "image": "data/matching/graph_visual/Base/easy/graph414.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph146", - "image": "data/matching/graph_visual/Base/easy/graph146.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph73", - "image": "data/matching/graph_visual/Base/easy/graph73.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph38", - "image": "data/matching/graph_visual/Base/easy/graph38.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph99", - "image": "data/matching/graph_visual/Base/easy/graph99.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph133", - "image": "data/matching/graph_visual/Base/easy/graph133.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph71", - "image": "data/matching/graph_visual/Base/easy/graph71.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph378", - "image": "data/matching/graph_visual/Base/easy/graph378.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph35", - "image": "data/matching/graph_visual/Base/easy/graph35.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph391", - "image": "data/matching/graph_visual/Base/easy/graph391.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph181", - "image": "data/matching/graph_visual/Base/easy/graph181.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph198", - "image": "data/matching/graph_visual/Base/easy/graph198.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph262", - "image": "data/matching/graph_visual/Base/easy/graph262.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph332", - "image": "data/matching/graph_visual/Base/easy/graph332.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph160", - "image": "data/matching/graph_visual/Base/easy/graph160.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph185", - "image": "data/matching/graph_visual/Base/easy/graph185.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph177", - "image": "data/matching/graph_visual/Base/easy/graph177.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph117", - "image": "data/matching/graph_visual/Base/easy/graph117.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph170", - "image": "data/matching/graph_visual/Base/easy/graph170.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph589", - "image": "data/matching/graph_visual/Base/easy/graph589.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph85", - "image": "data/matching/graph_visual/Base/easy/graph85.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph325", - "image": "data/matching/graph_visual/Base/easy/graph325.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph563", - "image": "data/matching/graph_visual/Base/easy/graph563.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph479", - "image": "data/matching/graph_visual/Base/easy/graph479.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph392", - "image": "data/matching/graph_visual/Base/easy/graph392.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph562", - "image": "data/matching/graph_visual/Base/easy/graph562.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph440", - "image": "data/matching/graph_visual/Base/easy/graph440.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph398", - "image": "data/matching/graph_visual/Base/easy/graph398.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph448", - "image": "data/matching/graph_visual/Base/easy/graph448.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph285", - "image": "data/matching/graph_visual/Base/easy/graph285.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph483", - "image": "data/matching/graph_visual/Base/easy/graph483.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph77", - "image": "data/matching/graph_visual/Base/easy/graph77.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph396", - "image": "data/matching/graph_visual/Base/easy/graph396.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph506", - "image": "data/matching/graph_visual/Base/easy/graph506.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph339", - "image": "data/matching/graph_visual/Base/easy/graph339.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph258", - "image": "data/matching/graph_visual/Base/easy/graph258.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph132", - "image": "data/matching/graph_visual/Base/easy/graph132.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph183", - "image": "data/matching/graph_visual/Base/easy/graph183.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph119", - "image": "data/matching/graph_visual/Base/easy/graph119.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph212", - "image": "data/matching/graph_visual/Base/easy/graph212.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph297", - "image": "data/matching/graph_visual/Base/easy/graph297.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph3", - "image": "data/matching/graph_visual/Base/easy/graph3.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "1." - } - ] - }, - { - "id": "matching-easy-graph388", - "image": "data/matching/graph_visual/Base/easy/graph388.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph389", - "image": "data/matching/graph_visual/Base/easy/graph389.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph478", - "image": "data/matching/graph_visual/Base/easy/graph478.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph286", - "image": "data/matching/graph_visual/Base/easy/graph286.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph142", - "image": "data/matching/graph_visual/Base/easy/graph142.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph421", - "image": "data/matching/graph_visual/Base/easy/graph421.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph213", - "image": "data/matching/graph_visual/Base/easy/graph213.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph577", - "image": "data/matching/graph_visual/Base/easy/graph577.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph265", - "image": "data/matching/graph_visual/Base/easy/graph265.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph307", - "image": "data/matching/graph_visual/Base/easy/graph307.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph565", - "image": "data/matching/graph_visual/Base/easy/graph565.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph559", - "image": "data/matching/graph_visual/Base/easy/graph559.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph233", - "image": "data/matching/graph_visual/Base/easy/graph233.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph224", - "image": "data/matching/graph_visual/Base/easy/graph224.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph291", - "image": "data/matching/graph_visual/Base/easy/graph291.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph295", - "image": "data/matching/graph_visual/Base/easy/graph295.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph436", - "image": "data/matching/graph_visual/Base/easy/graph436.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph14", - "image": "data/matching/graph_visual/Base/easy/graph14.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph443", - "image": "data/matching/graph_visual/Base/easy/graph443.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph281", - "image": "data/matching/graph_visual/Base/easy/graph281.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph131", - "image": "data/matching/graph_visual/Base/easy/graph131.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph292", - "image": "data/matching/graph_visual/Base/easy/graph292.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph138", - "image": "data/matching/graph_visual/Base/easy/graph138.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph334", - "image": "data/matching/graph_visual/Base/easy/graph334.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph158", - "image": "data/matching/graph_visual/Base/easy/graph158.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph97", - "image": "data/matching/graph_visual/Base/easy/graph97.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph218", - "image": "data/matching/graph_visual/Base/easy/graph218.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph179", - "image": "data/matching/graph_visual/Base/easy/graph179.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph153", - "image": "data/matching/graph_visual/Base/easy/graph153.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph356", - "image": "data/matching/graph_visual/Base/easy/graph356.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph207", - "image": "data/matching/graph_visual/Base/easy/graph207.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph271", - "image": "data/matching/graph_visual/Base/easy/graph271.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph204", - "image": "data/matching/graph_visual/Base/easy/graph204.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph464", - "image": "data/matching/graph_visual/Base/easy/graph464.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph149", - "image": "data/matching/graph_visual/Base/easy/graph149.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph397", - "image": "data/matching/graph_visual/Base/easy/graph397.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph232", - "image": "data/matching/graph_visual/Base/easy/graph232.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph426", - "image": "data/matching/graph_visual/Base/easy/graph426.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph536", - "image": "data/matching/graph_visual/Base/easy/graph536.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph560", - "image": "data/matching/graph_visual/Base/easy/graph560.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph520", - "image": "data/matching/graph_visual/Base/easy/graph520.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph288", - "image": "data/matching/graph_visual/Base/easy/graph288.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph280", - "image": "data/matching/graph_visual/Base/easy/graph280.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph9", - "image": "data/matching/graph_visual/Base/easy/graph9.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph322", - "image": "data/matching/graph_visual/Base/easy/graph322.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph2", - "image": "data/matching/graph_visual/Base/easy/graph2.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph381", - "image": "data/matching/graph_visual/Base/easy/graph381.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph429", - "image": "data/matching/graph_visual/Base/easy/graph429.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph508", - "image": "data/matching/graph_visual/Base/easy/graph508.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph293", - "image": "data/matching/graph_visual/Base/easy/graph293.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph202", - "image": "data/matching/graph_visual/Base/easy/graph202.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph261", - "image": "data/matching/graph_visual/Base/easy/graph261.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph360", - "image": "data/matching/graph_visual/Base/easy/graph360.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph283", - "image": "data/matching/graph_visual/Base/easy/graph283.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph355", - "image": "data/matching/graph_visual/Base/easy/graph355.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph526", - "image": "data/matching/graph_visual/Base/easy/graph526.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph228", - "image": "data/matching/graph_visual/Base/easy/graph228.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph597", - "image": "data/matching/graph_visual/Base/easy/graph597.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph512", - "image": "data/matching/graph_visual/Base/easy/graph512.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph316", - "image": "data/matching/graph_visual/Base/easy/graph316.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph509", - "image": "data/matching/graph_visual/Base/easy/graph509.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph377", - "image": "data/matching/graph_visual/Base/easy/graph377.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph175", - "image": "data/matching/graph_visual/Base/easy/graph175.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph278", - "image": "data/matching/graph_visual/Base/easy/graph278.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph103", - "image": "data/matching/graph_visual/Base/easy/graph103.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph337", - "image": "data/matching/graph_visual/Base/easy/graph337.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph48", - "image": "data/matching/graph_visual/Base/easy/graph48.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph106", - "image": "data/matching/graph_visual/Base/easy/graph106.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph50", - "image": "data/matching/graph_visual/Base/easy/graph50.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph259", - "image": "data/matching/graph_visual/Base/easy/graph259.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph393", - "image": "data/matching/graph_visual/Base/easy/graph393.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph272", - "image": "data/matching/graph_visual/Base/easy/graph272.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph545", - "image": "data/matching/graph_visual/Base/easy/graph545.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph80", - "image": "data/matching/graph_visual/Base/easy/graph80.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph447", - "image": "data/matching/graph_visual/Base/easy/graph447.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph157", - "image": "data/matching/graph_visual/Base/easy/graph157.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph453", - "image": "data/matching/graph_visual/Base/easy/graph453.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph331", - "image": "data/matching/graph_visual/Base/easy/graph331.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph326", - "image": "data/matching/graph_visual/Base/easy/graph326.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph514", - "image": "data/matching/graph_visual/Base/easy/graph514.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph24", - "image": "data/matching/graph_visual/Base/easy/graph24.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph105", - "image": "data/matching/graph_visual/Base/easy/graph105.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph420", - "image": "data/matching/graph_visual/Base/easy/graph420.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph208", - "image": "data/matching/graph_visual/Base/easy/graph208.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph225", - "image": "data/matching/graph_visual/Base/easy/graph225.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph169", - "image": "data/matching/graph_visual/Base/easy/graph169.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph242", - "image": "data/matching/graph_visual/Base/easy/graph242.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph354", - "image": "data/matching/graph_visual/Base/easy/graph354.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph458", - "image": "data/matching/graph_visual/Base/easy/graph458.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph238", - "image": "data/matching/graph_visual/Base/easy/graph238.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph165", - "image": "data/matching/graph_visual/Base/easy/graph165.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph118", - "image": "data/matching/graph_visual/Base/easy/graph118.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph17", - "image": "data/matching/graph_visual/Base/easy/graph17.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph313", - "image": "data/matching/graph_visual/Base/easy/graph313.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph78", - "image": "data/matching/graph_visual/Base/easy/graph78.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph502", - "image": "data/matching/graph_visual/Base/easy/graph502.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph472", - "image": "data/matching/graph_visual/Base/easy/graph472.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph417", - "image": "data/matching/graph_visual/Base/easy/graph417.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph305", - "image": "data/matching/graph_visual/Base/easy/graph305.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph590", - "image": "data/matching/graph_visual/Base/easy/graph590.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph298", - "image": "data/matching/graph_visual/Base/easy/graph298.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph123", - "image": "data/matching/graph_visual/Base/easy/graph123.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph284", - "image": "data/matching/graph_visual/Base/easy/graph284.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph485", - "image": "data/matching/graph_visual/Base/easy/graph485.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph251", - "image": "data/matching/graph_visual/Base/easy/graph251.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph415", - "image": "data/matching/graph_visual/Base/easy/graph415.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph61", - "image": "data/matching/graph_visual/Base/easy/graph61.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph11", - "image": "data/matching/graph_visual/Base/easy/graph11.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph576", - "image": "data/matching/graph_visual/Base/easy/graph576.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph433", - "image": "data/matching/graph_visual/Base/easy/graph433.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph319", - "image": "data/matching/graph_visual/Base/easy/graph319.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph407", - "image": "data/matching/graph_visual/Base/easy/graph407.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph19", - "image": "data/matching/graph_visual/Base/easy/graph19.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph196", - "image": "data/matching/graph_visual/Base/easy/graph196.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph253", - "image": "data/matching/graph_visual/Base/easy/graph253.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph525", - "image": "data/matching/graph_visual/Base/easy/graph525.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph466", - "image": "data/matching/graph_visual/Base/easy/graph466.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph497", - "image": "data/matching/graph_visual/Base/easy/graph497.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph223", - "image": "data/matching/graph_visual/Base/easy/graph223.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph529", - "image": "data/matching/graph_visual/Base/easy/graph529.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph555", - "image": "data/matching/graph_visual/Base/easy/graph555.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph573", - "image": "data/matching/graph_visual/Base/easy/graph573.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph399", - "image": "data/matching/graph_visual/Base/easy/graph399.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph323", - "image": "data/matching/graph_visual/Base/easy/graph323.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph490", - "image": "data/matching/graph_visual/Base/easy/graph490.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph114", - "image": "data/matching/graph_visual/Base/easy/graph114.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph401", - "image": "data/matching/graph_visual/Base/easy/graph401.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph518", - "image": "data/matching/graph_visual/Base/easy/graph518.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph236", - "image": "data/matching/graph_visual/Base/easy/graph236.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph358", - "image": "data/matching/graph_visual/Base/easy/graph358.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph216", - "image": "data/matching/graph_visual/Base/easy/graph216.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph301", - "image": "data/matching/graph_visual/Base/easy/graph301.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph470", - "image": "data/matching/graph_visual/Base/easy/graph470.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph588", - "image": "data/matching/graph_visual/Base/easy/graph588.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph100", - "image": "data/matching/graph_visual/Base/easy/graph100.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph23", - "image": "data/matching/graph_visual/Base/easy/graph23.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph493", - "image": "data/matching/graph_visual/Base/easy/graph493.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph571", - "image": "data/matching/graph_visual/Base/easy/graph571.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph553", - "image": "data/matching/graph_visual/Base/easy/graph553.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph10", - "image": "data/matching/graph_visual/Base/easy/graph10.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "1." - } - ] - }, - { - "id": "matching-easy-graph551", - "image": "data/matching/graph_visual/Base/easy/graph551.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph449", - "image": "data/matching/graph_visual/Base/easy/graph449.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph500", - "image": "data/matching/graph_visual/Base/easy/graph500.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph70", - "image": "data/matching/graph_visual/Base/easy/graph70.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph21", - "image": "data/matching/graph_visual/Base/easy/graph21.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph209", - "image": "data/matching/graph_visual/Base/easy/graph209.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph527", - "image": "data/matching/graph_visual/Base/easy/graph527.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph127", - "image": "data/matching/graph_visual/Base/easy/graph127.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph234", - "image": "data/matching/graph_visual/Base/easy/graph234.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph394", - "image": "data/matching/graph_visual/Base/easy/graph394.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph587", - "image": "data/matching/graph_visual/Base/easy/graph587.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph413", - "image": "data/matching/graph_visual/Base/easy/graph413.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph44", - "image": "data/matching/graph_visual/Base/easy/graph44.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph585", - "image": "data/matching/graph_visual/Base/easy/graph585.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph400", - "image": "data/matching/graph_visual/Base/easy/graph400.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph28", - "image": "data/matching/graph_visual/Base/easy/graph28.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph140", - "image": "data/matching/graph_visual/Base/easy/graph140.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph13", - "image": "data/matching/graph_visual/Base/easy/graph13.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 2 tasks numbered from 0 to 1. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph482", - "image": "data/matching/graph_visual/Base/easy/graph482.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph101", - "image": "data/matching/graph_visual/Base/easy/graph101.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph184", - "image": "data/matching/graph_visual/Base/easy/graph184.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph548", - "image": "data/matching/graph_visual/Base/easy/graph548.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph324", - "image": "data/matching/graph_visual/Base/easy/graph324.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph598", - "image": "data/matching/graph_visual/Base/easy/graph598.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph517", - "image": "data/matching/graph_visual/Base/easy/graph517.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph20", - "image": "data/matching/graph_visual/Base/easy/graph20.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph302", - "image": "data/matching/graph_visual/Base/easy/graph302.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph135", - "image": "data/matching/graph_visual/Base/easy/graph135.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph416", - "image": "data/matching/graph_visual/Base/easy/graph416.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph86", - "image": "data/matching/graph_visual/Base/easy/graph86.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph194", - "image": "data/matching/graph_visual/Base/easy/graph194.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph430", - "image": "data/matching/graph_visual/Base/easy/graph430.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph264", - "image": "data/matching/graph_visual/Base/easy/graph264.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph249", - "image": "data/matching/graph_visual/Base/easy/graph249.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph42", - "image": "data/matching/graph_visual/Base/easy/graph42.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph72", - "image": "data/matching/graph_visual/Base/easy/graph72.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph580", - "image": "data/matching/graph_visual/Base/easy/graph580.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph471", - "image": "data/matching/graph_visual/Base/easy/graph471.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph263", - "image": "data/matching/graph_visual/Base/easy/graph263.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph68", - "image": "data/matching/graph_visual/Base/easy/graph68.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph372", - "image": "data/matching/graph_visual/Base/easy/graph372.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph110", - "image": "data/matching/graph_visual/Base/easy/graph110.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph277", - "image": "data/matching/graph_visual/Base/easy/graph277.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph60", - "image": "data/matching/graph_visual/Base/easy/graph60.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph193", - "image": "data/matching/graph_visual/Base/easy/graph193.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph533", - "image": "data/matching/graph_visual/Base/easy/graph533.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph557", - "image": "data/matching/graph_visual/Base/easy/graph557.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph591", - "image": "data/matching/graph_visual/Base/easy/graph591.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph104", - "image": "data/matching/graph_visual/Base/easy/graph104.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph572", - "image": "data/matching/graph_visual/Base/easy/graph572.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph116", - "image": "data/matching/graph_visual/Base/easy/graph116.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph338", - "image": "data/matching/graph_visual/Base/easy/graph338.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph214", - "image": "data/matching/graph_visual/Base/easy/graph214.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph93", - "image": "data/matching/graph_visual/Base/easy/graph93.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph427", - "image": "data/matching/graph_visual/Base/easy/graph427.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph136", - "image": "data/matching/graph_visual/Base/easy/graph136.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph419", - "image": "data/matching/graph_visual/Base/easy/graph419.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph282", - "image": "data/matching/graph_visual/Base/easy/graph282.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph402", - "image": "data/matching/graph_visual/Base/easy/graph402.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph473", - "image": "data/matching/graph_visual/Base/easy/graph473.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph505", - "image": "data/matching/graph_visual/Base/easy/graph505.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph383", - "image": "data/matching/graph_visual/Base/easy/graph383.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph75", - "image": "data/matching/graph_visual/Base/easy/graph75.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph66", - "image": "data/matching/graph_visual/Base/easy/graph66.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph444", - "image": "data/matching/graph_visual/Base/easy/graph444.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph29", - "image": "data/matching/graph_visual/Base/easy/graph29.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph245", - "image": "data/matching/graph_visual/Base/easy/graph245.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph308", - "image": "data/matching/graph_visual/Base/easy/graph308.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph195", - "image": "data/matching/graph_visual/Base/easy/graph195.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph49", - "image": "data/matching/graph_visual/Base/easy/graph49.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph439", - "image": "data/matching/graph_visual/Base/easy/graph439.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph350", - "image": "data/matching/graph_visual/Base/easy/graph350.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph411", - "image": "data/matching/graph_visual/Base/easy/graph411.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph197", - "image": "data/matching/graph_visual/Base/easy/graph197.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph380", - "image": "data/matching/graph_visual/Base/easy/graph380.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph418", - "image": "data/matching/graph_visual/Base/easy/graph418.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph255", - "image": "data/matching/graph_visual/Base/easy/graph255.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph173", - "image": "data/matching/graph_visual/Base/easy/graph173.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph541", - "image": "data/matching/graph_visual/Base/easy/graph541.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph382", - "image": "data/matching/graph_visual/Base/easy/graph382.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph172", - "image": "data/matching/graph_visual/Base/easy/graph172.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph328", - "image": "data/matching/graph_visual/Base/easy/graph328.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph239", - "image": "data/matching/graph_visual/Base/easy/graph239.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph578", - "image": "data/matching/graph_visual/Base/easy/graph578.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph34", - "image": "data/matching/graph_visual/Base/easy/graph34.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph538", - "image": "data/matching/graph_visual/Base/easy/graph538.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph25", - "image": "data/matching/graph_visual/Base/easy/graph25.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph250", - "image": "data/matching/graph_visual/Base/easy/graph250.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph276", - "image": "data/matching/graph_visual/Base/easy/graph276.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph39", - "image": "data/matching/graph_visual/Base/easy/graph39.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph192", - "image": "data/matching/graph_visual/Base/easy/graph192.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph74", - "image": "data/matching/graph_visual/Base/easy/graph74.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph51", - "image": "data/matching/graph_visual/Base/easy/graph51.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph108", - "image": "data/matching/graph_visual/Base/easy/graph108.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph54", - "image": "data/matching/graph_visual/Base/easy/graph54.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph124", - "image": "data/matching/graph_visual/Base/easy/graph124.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph102", - "image": "data/matching/graph_visual/Base/easy/graph102.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "2." - } - ] - }, - { - "id": "matching-easy-graph182", - "image": "data/matching/graph_visual/Base/easy/graph182.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph111", - "image": "data/matching/graph_visual/Base/easy/graph111.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph120", - "image": "data/matching/graph_visual/Base/easy/graph120.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph30", - "image": "data/matching/graph_visual/Base/easy/graph30.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 3 tasks numbered from 0 to 2. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph174", - "image": "data/matching/graph_visual/Base/easy/graph174.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph254", - "image": "data/matching/graph_visual/Base/easy/graph254.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph467", - "image": "data/matching/graph_visual/Base/easy/graph467.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph366", - "image": "data/matching/graph_visual/Base/easy/graph366.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph384", - "image": "data/matching/graph_visual/Base/easy/graph384.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph364", - "image": "data/matching/graph_visual/Base/easy/graph364.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph359", - "image": "data/matching/graph_visual/Base/easy/graph359.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph201", - "image": "data/matching/graph_visual/Base/easy/graph201.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph348", - "image": "data/matching/graph_visual/Base/easy/graph348.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph296", - "image": "data/matching/graph_visual/Base/easy/graph296.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph379", - "image": "data/matching/graph_visual/Base/easy/graph379.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph243", - "image": "data/matching/graph_visual/Base/easy/graph243.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph475", - "image": "data/matching/graph_visual/Base/easy/graph475.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph95", - "image": "data/matching/graph_visual/Base/easy/graph95.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph535", - "image": "data/matching/graph_visual/Base/easy/graph535.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph98", - "image": "data/matching/graph_visual/Base/easy/graph98.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph596", - "image": "data/matching/graph_visual/Base/easy/graph596.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph351", - "image": "data/matching/graph_visual/Base/easy/graph351.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph515", - "image": "data/matching/graph_visual/Base/easy/graph515.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph362", - "image": "data/matching/graph_visual/Base/easy/graph362.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph220", - "image": "data/matching/graph_visual/Base/easy/graph220.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph370", - "image": "data/matching/graph_visual/Base/easy/graph370.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph567", - "image": "data/matching/graph_visual/Base/easy/graph567.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph431", - "image": "data/matching/graph_visual/Base/easy/graph431.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph346", - "image": "data/matching/graph_visual/Base/easy/graph346.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph69", - "image": "data/matching/graph_visual/Base/easy/graph69.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "3." - } - ] - }, - { - "id": "matching-easy-graph206", - "image": "data/matching/graph_visual/Base/easy/graph206.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 4 tasks numbered from 0 to 3. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph437", - "image": "data/matching/graph_visual/Base/easy/graph437.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph528", - "image": "data/matching/graph_visual/Base/easy/graph528.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-easy-graph371", - "image": "data/matching/graph_visual/Base/easy/graph371.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph513", - "image": "data/matching/graph_visual/Base/easy/graph513.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-easy-graph341", - "image": "data/matching/graph_visual/Base/easy/graph341.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph257", - "image": "data/matching/graph_visual/Base/easy/graph257.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph191", - "image": "data/matching/graph_visual/Base/easy/graph191.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph63", - "image": "data/matching/graph_visual/Base/easy/graph63.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 4 hosts numbered from 0 to 3, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph406", - "image": "data/matching/graph_visual/Base/easy/graph406.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 8 hosts numbered from 0 to 7, and 6 tasks numbered from 0 to 5. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph152", - "image": "data/matching/graph_visual/Base/easy/graph152.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph187", - "image": "data/matching/graph_visual/Base/easy/graph187.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph546", - "image": "data/matching/graph_visual/Base/easy/graph546.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 9 hosts numbered from 0 to 8, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-easy-graph279", - "image": "data/matching/graph_visual/Base/easy/graph279.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph147", - "image": "data/matching/graph_visual/Base/easy/graph147.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 5 hosts numbered from 0 to 4, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "4." - } - ] - }, - { - "id": "matching-easy-graph274", - "image": "data/matching/graph_visual/Base/easy/graph274.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "6." - } - ] - }, - { - "id": "matching-easy-graph317", - "image": "data/matching/graph_visual/Base/easy/graph317.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 7 hosts numbered from 0 to 6, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-easy-graph235", - "image": "data/matching/graph_visual/Base/easy/graph235.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 6 hosts numbered from 0 to 5, and 5 tasks numbered from 0 to 4. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "5." - } - ] - }, - { - "id": "matching-hard-graph733", - "image": "data/matching/graph_visual/Base/hard/graph733.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph432", - "image": "data/matching/graph_visual/Base/hard/graph432.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph850", - "image": "data/matching/graph_visual/Base/hard/graph850.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph867", - "image": "data/matching/graph_visual/Base/hard/graph867.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph852", - "image": "data/matching/graph_visual/Base/hard/graph852.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph541", - "image": "data/matching/graph_visual/Base/hard/graph541.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph473", - "image": "data/matching/graph_visual/Base/hard/graph473.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph984", - "image": "data/matching/graph_visual/Base/hard/graph984.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1204", - "image": "data/matching/graph_visual/Base/hard/graph1204.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph279", - "image": "data/matching/graph_visual/Base/hard/graph279.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph248", - "image": "data/matching/graph_visual/Base/hard/graph248.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph939", - "image": "data/matching/graph_visual/Base/hard/graph939.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph198", - "image": "data/matching/graph_visual/Base/hard/graph198.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph735", - "image": "data/matching/graph_visual/Base/hard/graph735.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph498", - "image": "data/matching/graph_visual/Base/hard/graph498.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1159", - "image": "data/matching/graph_visual/Base/hard/graph1159.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph651", - "image": "data/matching/graph_visual/Base/hard/graph651.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph213", - "image": "data/matching/graph_visual/Base/hard/graph213.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph878", - "image": "data/matching/graph_visual/Base/hard/graph878.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph322", - "image": "data/matching/graph_visual/Base/hard/graph322.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph808", - "image": "data/matching/graph_visual/Base/hard/graph808.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph951", - "image": "data/matching/graph_visual/Base/hard/graph951.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph997", - "image": "data/matching/graph_visual/Base/hard/graph997.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph537", - "image": "data/matching/graph_visual/Base/hard/graph537.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph56", - "image": "data/matching/graph_visual/Base/hard/graph56.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph862", - "image": "data/matching/graph_visual/Base/hard/graph862.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1096", - "image": "data/matching/graph_visual/Base/hard/graph1096.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph50", - "image": "data/matching/graph_visual/Base/hard/graph50.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph530", - "image": "data/matching/graph_visual/Base/hard/graph530.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph813", - "image": "data/matching/graph_visual/Base/hard/graph813.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1164", - "image": "data/matching/graph_visual/Base/hard/graph1164.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph92", - "image": "data/matching/graph_visual/Base/hard/graph92.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph107", - "image": "data/matching/graph_visual/Base/hard/graph107.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph915", - "image": "data/matching/graph_visual/Base/hard/graph915.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph941", - "image": "data/matching/graph_visual/Base/hard/graph941.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph302", - "image": "data/matching/graph_visual/Base/hard/graph302.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph910", - "image": "data/matching/graph_visual/Base/hard/graph910.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1129", - "image": "data/matching/graph_visual/Base/hard/graph1129.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph73", - "image": "data/matching/graph_visual/Base/hard/graph73.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1205", - "image": "data/matching/graph_visual/Base/hard/graph1205.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph205", - "image": "data/matching/graph_visual/Base/hard/graph205.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph392", - "image": "data/matching/graph_visual/Base/hard/graph392.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph21", - "image": "data/matching/graph_visual/Base/hard/graph21.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph323", - "image": "data/matching/graph_visual/Base/hard/graph323.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph956", - "image": "data/matching/graph_visual/Base/hard/graph956.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph904", - "image": "data/matching/graph_visual/Base/hard/graph904.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph723", - "image": "data/matching/graph_visual/Base/hard/graph723.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph546", - "image": "data/matching/graph_visual/Base/hard/graph546.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph258", - "image": "data/matching/graph_visual/Base/hard/graph258.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph460", - "image": "data/matching/graph_visual/Base/hard/graph460.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1051", - "image": "data/matching/graph_visual/Base/hard/graph1051.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph423", - "image": "data/matching/graph_visual/Base/hard/graph423.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph594", - "image": "data/matching/graph_visual/Base/hard/graph594.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph523", - "image": "data/matching/graph_visual/Base/hard/graph523.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph982", - "image": "data/matching/graph_visual/Base/hard/graph982.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph170", - "image": "data/matching/graph_visual/Base/hard/graph170.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1242", - "image": "data/matching/graph_visual/Base/hard/graph1242.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph431", - "image": "data/matching/graph_visual/Base/hard/graph431.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph456", - "image": "data/matching/graph_visual/Base/hard/graph456.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1027", - "image": "data/matching/graph_visual/Base/hard/graph1027.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph247", - "image": "data/matching/graph_visual/Base/hard/graph247.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph983", - "image": "data/matching/graph_visual/Base/hard/graph983.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph316", - "image": "data/matching/graph_visual/Base/hard/graph316.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph872", - "image": "data/matching/graph_visual/Base/hard/graph872.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph900", - "image": "data/matching/graph_visual/Base/hard/graph900.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph410", - "image": "data/matching/graph_visual/Base/hard/graph410.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1085", - "image": "data/matching/graph_visual/Base/hard/graph1085.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph490", - "image": "data/matching/graph_visual/Base/hard/graph490.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1009", - "image": "data/matching/graph_visual/Base/hard/graph1009.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph513", - "image": "data/matching/graph_visual/Base/hard/graph513.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph575", - "image": "data/matching/graph_visual/Base/hard/graph575.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph347", - "image": "data/matching/graph_visual/Base/hard/graph347.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph372", - "image": "data/matching/graph_visual/Base/hard/graph372.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph66", - "image": "data/matching/graph_visual/Base/hard/graph66.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph688", - "image": "data/matching/graph_visual/Base/hard/graph688.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph283", - "image": "data/matching/graph_visual/Base/hard/graph283.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph527", - "image": "data/matching/graph_visual/Base/hard/graph527.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph318", - "image": "data/matching/graph_visual/Base/hard/graph318.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph661", - "image": "data/matching/graph_visual/Base/hard/graph661.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph709", - "image": "data/matching/graph_visual/Base/hard/graph709.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph940", - "image": "data/matching/graph_visual/Base/hard/graph940.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1117", - "image": "data/matching/graph_visual/Base/hard/graph1117.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph924", - "image": "data/matching/graph_visual/Base/hard/graph924.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph438", - "image": "data/matching/graph_visual/Base/hard/graph438.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph578", - "image": "data/matching/graph_visual/Base/hard/graph578.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1106", - "image": "data/matching/graph_visual/Base/hard/graph1106.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1255", - "image": "data/matching/graph_visual/Base/hard/graph1255.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1092", - "image": "data/matching/graph_visual/Base/hard/graph1092.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph209", - "image": "data/matching/graph_visual/Base/hard/graph209.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph240", - "image": "data/matching/graph_visual/Base/hard/graph240.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph612", - "image": "data/matching/graph_visual/Base/hard/graph612.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1128", - "image": "data/matching/graph_visual/Base/hard/graph1128.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph326", - "image": "data/matching/graph_visual/Base/hard/graph326.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1020", - "image": "data/matching/graph_visual/Base/hard/graph1020.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph810", - "image": "data/matching/graph_visual/Base/hard/graph810.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1076", - "image": "data/matching/graph_visual/Base/hard/graph1076.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph364", - "image": "data/matching/graph_visual/Base/hard/graph364.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph466", - "image": "data/matching/graph_visual/Base/hard/graph466.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph91", - "image": "data/matching/graph_visual/Base/hard/graph91.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph479", - "image": "data/matching/graph_visual/Base/hard/graph479.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph63", - "image": "data/matching/graph_visual/Base/hard/graph63.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph550", - "image": "data/matching/graph_visual/Base/hard/graph550.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph489", - "image": "data/matching/graph_visual/Base/hard/graph489.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph224", - "image": "data/matching/graph_visual/Base/hard/graph224.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph645", - "image": "data/matching/graph_visual/Base/hard/graph645.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph703", - "image": "data/matching/graph_visual/Base/hard/graph703.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph725", - "image": "data/matching/graph_visual/Base/hard/graph725.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph804", - "image": "data/matching/graph_visual/Base/hard/graph804.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph894", - "image": "data/matching/graph_visual/Base/hard/graph894.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph90", - "image": "data/matching/graph_visual/Base/hard/graph90.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1029", - "image": "data/matching/graph_visual/Base/hard/graph1029.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph663", - "image": "data/matching/graph_visual/Base/hard/graph663.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph619", - "image": "data/matching/graph_visual/Base/hard/graph619.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph128", - "image": "data/matching/graph_visual/Base/hard/graph128.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph390", - "image": "data/matching/graph_visual/Base/hard/graph390.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph335", - "image": "data/matching/graph_visual/Base/hard/graph335.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph263", - "image": "data/matching/graph_visual/Base/hard/graph263.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph310", - "image": "data/matching/graph_visual/Base/hard/graph310.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph223", - "image": "data/matching/graph_visual/Base/hard/graph223.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph973", - "image": "data/matching/graph_visual/Base/hard/graph973.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph356", - "image": "data/matching/graph_visual/Base/hard/graph356.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1206", - "image": "data/matching/graph_visual/Base/hard/graph1206.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph591", - "image": "data/matching/graph_visual/Base/hard/graph591.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph115", - "image": "data/matching/graph_visual/Base/hard/graph115.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph395", - "image": "data/matching/graph_visual/Base/hard/graph395.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1022", - "image": "data/matching/graph_visual/Base/hard/graph1022.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1080", - "image": "data/matching/graph_visual/Base/hard/graph1080.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph532", - "image": "data/matching/graph_visual/Base/hard/graph532.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph57", - "image": "data/matching/graph_visual/Base/hard/graph57.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1024", - "image": "data/matching/graph_visual/Base/hard/graph1024.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph947", - "image": "data/matching/graph_visual/Base/hard/graph947.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph528", - "image": "data/matching/graph_visual/Base/hard/graph528.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1244", - "image": "data/matching/graph_visual/Base/hard/graph1244.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1168", - "image": "data/matching/graph_visual/Base/hard/graph1168.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph35", - "image": "data/matching/graph_visual/Base/hard/graph35.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph945", - "image": "data/matching/graph_visual/Base/hard/graph945.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph416", - "image": "data/matching/graph_visual/Base/hard/graph416.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph307", - "image": "data/matching/graph_visual/Base/hard/graph307.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph547", - "image": "data/matching/graph_visual/Base/hard/graph547.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph851", - "image": "data/matching/graph_visual/Base/hard/graph851.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1018", - "image": "data/matching/graph_visual/Base/hard/graph1018.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph652", - "image": "data/matching/graph_visual/Base/hard/graph652.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph321", - "image": "data/matching/graph_visual/Base/hard/graph321.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph954", - "image": "data/matching/graph_visual/Base/hard/graph954.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph156", - "image": "data/matching/graph_visual/Base/hard/graph156.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1060", - "image": "data/matching/graph_visual/Base/hard/graph1060.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph755", - "image": "data/matching/graph_visual/Base/hard/graph755.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph369", - "image": "data/matching/graph_visual/Base/hard/graph369.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph987", - "image": "data/matching/graph_visual/Base/hard/graph987.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph711", - "image": "data/matching/graph_visual/Base/hard/graph711.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1257", - "image": "data/matching/graph_visual/Base/hard/graph1257.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1021", - "image": "data/matching/graph_visual/Base/hard/graph1021.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1088", - "image": "data/matching/graph_visual/Base/hard/graph1088.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph254", - "image": "data/matching/graph_visual/Base/hard/graph254.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1156", - "image": "data/matching/graph_visual/Base/hard/graph1156.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph999", - "image": "data/matching/graph_visual/Base/hard/graph999.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1004", - "image": "data/matching/graph_visual/Base/hard/graph1004.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph693", - "image": "data/matching/graph_visual/Base/hard/graph693.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph901", - "image": "data/matching/graph_visual/Base/hard/graph901.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph964", - "image": "data/matching/graph_visual/Base/hard/graph964.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph533", - "image": "data/matching/graph_visual/Base/hard/graph533.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph721", - "image": "data/matching/graph_visual/Base/hard/graph721.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph220", - "image": "data/matching/graph_visual/Base/hard/graph220.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph753", - "image": "data/matching/graph_visual/Base/hard/graph753.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1231", - "image": "data/matching/graph_visual/Base/hard/graph1231.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph884", - "image": "data/matching/graph_visual/Base/hard/graph884.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph25", - "image": "data/matching/graph_visual/Base/hard/graph25.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph207", - "image": "data/matching/graph_visual/Base/hard/graph207.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1040", - "image": "data/matching/graph_visual/Base/hard/graph1040.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph539", - "image": "data/matching/graph_visual/Base/hard/graph539.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1152", - "image": "data/matching/graph_visual/Base/hard/graph1152.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph375", - "image": "data/matching/graph_visual/Base/hard/graph375.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1134", - "image": "data/matching/graph_visual/Base/hard/graph1134.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph495", - "image": "data/matching/graph_visual/Base/hard/graph495.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph288", - "image": "data/matching/graph_visual/Base/hard/graph288.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph120", - "image": "data/matching/graph_visual/Base/hard/graph120.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph949", - "image": "data/matching/graph_visual/Base/hard/graph949.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph766", - "image": "data/matching/graph_visual/Base/hard/graph766.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1218", - "image": "data/matching/graph_visual/Base/hard/graph1218.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph615", - "image": "data/matching/graph_visual/Base/hard/graph615.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph104", - "image": "data/matching/graph_visual/Base/hard/graph104.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph529", - "image": "data/matching/graph_visual/Base/hard/graph529.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1008", - "image": "data/matching/graph_visual/Base/hard/graph1008.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1113", - "image": "data/matching/graph_visual/Base/hard/graph1113.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph133", - "image": "data/matching/graph_visual/Base/hard/graph133.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph286", - "image": "data/matching/graph_visual/Base/hard/graph286.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1094", - "image": "data/matching/graph_visual/Base/hard/graph1094.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph376", - "image": "data/matching/graph_visual/Base/hard/graph376.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph492", - "image": "data/matching/graph_visual/Base/hard/graph492.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1180", - "image": "data/matching/graph_visual/Base/hard/graph1180.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph373", - "image": "data/matching/graph_visual/Base/hard/graph373.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph484", - "image": "data/matching/graph_visual/Base/hard/graph484.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1052", - "image": "data/matching/graph_visual/Base/hard/graph1052.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph806", - "image": "data/matching/graph_visual/Base/hard/graph806.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph459", - "image": "data/matching/graph_visual/Base/hard/graph459.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph51", - "image": "data/matching/graph_visual/Base/hard/graph51.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1209", - "image": "data/matching/graph_visual/Base/hard/graph1209.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph790", - "image": "data/matching/graph_visual/Base/hard/graph790.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph295", - "image": "data/matching/graph_visual/Base/hard/graph295.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph962", - "image": "data/matching/graph_visual/Base/hard/graph962.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph801", - "image": "data/matching/graph_visual/Base/hard/graph801.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph103", - "image": "data/matching/graph_visual/Base/hard/graph103.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph455", - "image": "data/matching/graph_visual/Base/hard/graph455.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph896", - "image": "data/matching/graph_visual/Base/hard/graph896.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph919", - "image": "data/matching/graph_visual/Base/hard/graph919.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1131", - "image": "data/matching/graph_visual/Base/hard/graph1131.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph584", - "image": "data/matching/graph_visual/Base/hard/graph584.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph453", - "image": "data/matching/graph_visual/Base/hard/graph453.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph217", - "image": "data/matching/graph_visual/Base/hard/graph217.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph595", - "image": "data/matching/graph_visual/Base/hard/graph595.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph782", - "image": "data/matching/graph_visual/Base/hard/graph782.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph907", - "image": "data/matching/graph_visual/Base/hard/graph907.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph437", - "image": "data/matching/graph_visual/Base/hard/graph437.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1108", - "image": "data/matching/graph_visual/Base/hard/graph1108.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph745", - "image": "data/matching/graph_visual/Base/hard/graph745.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph313", - "image": "data/matching/graph_visual/Base/hard/graph313.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1162", - "image": "data/matching/graph_visual/Base/hard/graph1162.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph62", - "image": "data/matching/graph_visual/Base/hard/graph62.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph124", - "image": "data/matching/graph_visual/Base/hard/graph124.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph938", - "image": "data/matching/graph_visual/Base/hard/graph938.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph407", - "image": "data/matching/graph_visual/Base/hard/graph407.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph955", - "image": "data/matching/graph_visual/Base/hard/graph955.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph34", - "image": "data/matching/graph_visual/Base/hard/graph34.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1196", - "image": "data/matching/graph_visual/Base/hard/graph1196.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph633", - "image": "data/matching/graph_visual/Base/hard/graph633.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph329", - "image": "data/matching/graph_visual/Base/hard/graph329.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph443", - "image": "data/matching/graph_visual/Base/hard/graph443.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph535", - "image": "data/matching/graph_visual/Base/hard/graph535.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph909", - "image": "data/matching/graph_visual/Base/hard/graph909.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph181", - "image": "data/matching/graph_visual/Base/hard/graph181.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1112", - "image": "data/matching/graph_visual/Base/hard/graph1112.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph27", - "image": "data/matching/graph_visual/Base/hard/graph27.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph646", - "image": "data/matching/graph_visual/Base/hard/graph646.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph816", - "image": "data/matching/graph_visual/Base/hard/graph816.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1225", - "image": "data/matching/graph_visual/Base/hard/graph1225.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph491", - "image": "data/matching/graph_visual/Base/hard/graph491.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1189", - "image": "data/matching/graph_visual/Base/hard/graph1189.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph788", - "image": "data/matching/graph_visual/Base/hard/graph788.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph2", - "image": "data/matching/graph_visual/Base/hard/graph2.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph74", - "image": "data/matching/graph_visual/Base/hard/graph74.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1234", - "image": "data/matching/graph_visual/Base/hard/graph1234.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph371", - "image": "data/matching/graph_visual/Base/hard/graph371.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph965", - "image": "data/matching/graph_visual/Base/hard/graph965.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph397", - "image": "data/matching/graph_visual/Base/hard/graph397.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1213", - "image": "data/matching/graph_visual/Base/hard/graph1213.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph752", - "image": "data/matching/graph_visual/Base/hard/graph752.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1243", - "image": "data/matching/graph_visual/Base/hard/graph1243.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph377", - "image": "data/matching/graph_visual/Base/hard/graph377.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph244", - "image": "data/matching/graph_visual/Base/hard/graph244.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph936", - "image": "data/matching/graph_visual/Base/hard/graph936.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph226", - "image": "data/matching/graph_visual/Base/hard/graph226.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph23", - "image": "data/matching/graph_visual/Base/hard/graph23.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph251", - "image": "data/matching/graph_visual/Base/hard/graph251.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1172", - "image": "data/matching/graph_visual/Base/hard/graph1172.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph736", - "image": "data/matching/graph_visual/Base/hard/graph736.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1167", - "image": "data/matching/graph_visual/Base/hard/graph1167.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1139", - "image": "data/matching/graph_visual/Base/hard/graph1139.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1065", - "image": "data/matching/graph_visual/Base/hard/graph1065.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph301", - "image": "data/matching/graph_visual/Base/hard/graph301.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph354", - "image": "data/matching/graph_visual/Base/hard/graph354.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1193", - "image": "data/matching/graph_visual/Base/hard/graph1193.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph732", - "image": "data/matching/graph_visual/Base/hard/graph732.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph640", - "image": "data/matching/graph_visual/Base/hard/graph640.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph222", - "image": "data/matching/graph_visual/Base/hard/graph222.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph465", - "image": "data/matching/graph_visual/Base/hard/graph465.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph869", - "image": "data/matching/graph_visual/Base/hard/graph869.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph730", - "image": "data/matching/graph_visual/Base/hard/graph730.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph598", - "image": "data/matching/graph_visual/Base/hard/graph598.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph280", - "image": "data/matching/graph_visual/Base/hard/graph280.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph105", - "image": "data/matching/graph_visual/Base/hard/graph105.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph824", - "image": "data/matching/graph_visual/Base/hard/graph824.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph426", - "image": "data/matching/graph_visual/Base/hard/graph426.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1059", - "image": "data/matching/graph_visual/Base/hard/graph1059.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1013", - "image": "data/matching/graph_visual/Base/hard/graph1013.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1104", - "image": "data/matching/graph_visual/Base/hard/graph1104.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph214", - "image": "data/matching/graph_visual/Base/hard/graph214.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph833", - "image": "data/matching/graph_visual/Base/hard/graph833.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph580", - "image": "data/matching/graph_visual/Base/hard/graph580.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1190", - "image": "data/matching/graph_visual/Base/hard/graph1190.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph744", - "image": "data/matching/graph_visual/Base/hard/graph744.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph726", - "image": "data/matching/graph_visual/Base/hard/graph726.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph814", - "image": "data/matching/graph_visual/Base/hard/graph814.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph45", - "image": "data/matching/graph_visual/Base/hard/graph45.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph82", - "image": "data/matching/graph_visual/Base/hard/graph82.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph230", - "image": "data/matching/graph_visual/Base/hard/graph230.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph408", - "image": "data/matching/graph_visual/Base/hard/graph408.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph921", - "image": "data/matching/graph_visual/Base/hard/graph921.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1241", - "image": "data/matching/graph_visual/Base/hard/graph1241.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph159", - "image": "data/matching/graph_visual/Base/hard/graph159.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph785", - "image": "data/matching/graph_visual/Base/hard/graph785.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1115", - "image": "data/matching/graph_visual/Base/hard/graph1115.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1140", - "image": "data/matching/graph_visual/Base/hard/graph1140.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph188", - "image": "data/matching/graph_visual/Base/hard/graph188.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph340", - "image": "data/matching/graph_visual/Base/hard/graph340.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph249", - "image": "data/matching/graph_visual/Base/hard/graph249.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph557", - "image": "data/matching/graph_visual/Base/hard/graph557.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph451", - "image": "data/matching/graph_visual/Base/hard/graph451.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1031", - "image": "data/matching/graph_visual/Base/hard/graph1031.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph912", - "image": "data/matching/graph_visual/Base/hard/graph912.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph743", - "image": "data/matching/graph_visual/Base/hard/graph743.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1251", - "image": "data/matching/graph_visual/Base/hard/graph1251.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph996", - "image": "data/matching/graph_visual/Base/hard/graph996.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph631", - "image": "data/matching/graph_visual/Base/hard/graph631.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph383", - "image": "data/matching/graph_visual/Base/hard/graph383.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1123", - "image": "data/matching/graph_visual/Base/hard/graph1123.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph497", - "image": "data/matching/graph_visual/Base/hard/graph497.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1126", - "image": "data/matching/graph_visual/Base/hard/graph1126.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph838", - "image": "data/matching/graph_visual/Base/hard/graph838.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph439", - "image": "data/matching/graph_visual/Base/hard/graph439.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph724", - "image": "data/matching/graph_visual/Base/hard/graph724.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph195", - "image": "data/matching/graph_visual/Base/hard/graph195.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1228", - "image": "data/matching/graph_visual/Base/hard/graph1228.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1039", - "image": "data/matching/graph_visual/Base/hard/graph1039.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph53", - "image": "data/matching/graph_visual/Base/hard/graph53.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph158", - "image": "data/matching/graph_visual/Base/hard/graph158.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph826", - "image": "data/matching/graph_visual/Base/hard/graph826.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph193", - "image": "data/matching/graph_visual/Base/hard/graph193.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph480", - "image": "data/matching/graph_visual/Base/hard/graph480.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph290", - "image": "data/matching/graph_visual/Base/hard/graph290.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph874", - "image": "data/matching/graph_visual/Base/hard/graph874.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph442", - "image": "data/matching/graph_visual/Base/hard/graph442.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1007", - "image": "data/matching/graph_visual/Base/hard/graph1007.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph386", - "image": "data/matching/graph_visual/Base/hard/graph386.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph519", - "image": "data/matching/graph_visual/Base/hard/graph519.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1173", - "image": "data/matching/graph_visual/Base/hard/graph1173.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph555", - "image": "data/matching/graph_visual/Base/hard/graph555.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph800", - "image": "data/matching/graph_visual/Base/hard/graph800.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1256", - "image": "data/matching/graph_visual/Base/hard/graph1256.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph765", - "image": "data/matching/graph_visual/Base/hard/graph765.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph873", - "image": "data/matching/graph_visual/Base/hard/graph873.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph420", - "image": "data/matching/graph_visual/Base/hard/graph420.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1097", - "image": "data/matching/graph_visual/Base/hard/graph1097.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph961", - "image": "data/matching/graph_visual/Base/hard/graph961.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph212", - "image": "data/matching/graph_visual/Base/hard/graph212.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph885", - "image": "data/matching/graph_visual/Base/hard/graph885.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph123", - "image": "data/matching/graph_visual/Base/hard/graph123.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph742", - "image": "data/matching/graph_visual/Base/hard/graph742.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph83", - "image": "data/matching/graph_visual/Base/hard/graph83.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph778", - "image": "data/matching/graph_visual/Base/hard/graph778.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph125", - "image": "data/matching/graph_visual/Base/hard/graph125.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph993", - "image": "data/matching/graph_visual/Base/hard/graph993.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph974", - "image": "data/matching/graph_visual/Base/hard/graph974.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph374", - "image": "data/matching/graph_visual/Base/hard/graph374.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph592", - "image": "data/matching/graph_visual/Base/hard/graph592.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph748", - "image": "data/matching/graph_visual/Base/hard/graph748.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1048", - "image": "data/matching/graph_visual/Base/hard/graph1048.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph614", - "image": "data/matching/graph_visual/Base/hard/graph614.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph111", - "image": "data/matching/graph_visual/Base/hard/graph111.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1043", - "image": "data/matching/graph_visual/Base/hard/graph1043.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph647", - "image": "data/matching/graph_visual/Base/hard/graph647.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1233", - "image": "data/matching/graph_visual/Base/hard/graph1233.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph587", - "image": "data/matching/graph_visual/Base/hard/graph587.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph472", - "image": "data/matching/graph_visual/Base/hard/graph472.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph716", - "image": "data/matching/graph_visual/Base/hard/graph716.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph994", - "image": "data/matching/graph_visual/Base/hard/graph994.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1047", - "image": "data/matching/graph_visual/Base/hard/graph1047.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph622", - "image": "data/matching/graph_visual/Base/hard/graph622.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph265", - "image": "data/matching/graph_visual/Base/hard/graph265.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph382", - "image": "data/matching/graph_visual/Base/hard/graph382.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph522", - "image": "data/matching/graph_visual/Base/hard/graph522.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph106", - "image": "data/matching/graph_visual/Base/hard/graph106.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph359", - "image": "data/matching/graph_visual/Base/hard/graph359.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1182", - "image": "data/matching/graph_visual/Base/hard/graph1182.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph995", - "image": "data/matching/graph_visual/Base/hard/graph995.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph483", - "image": "data/matching/graph_visual/Base/hard/graph483.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1074", - "image": "data/matching/graph_visual/Base/hard/graph1074.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1177", - "image": "data/matching/graph_visual/Base/hard/graph1177.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph259", - "image": "data/matching/graph_visual/Base/hard/graph259.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph992", - "image": "data/matching/graph_visual/Base/hard/graph992.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph94", - "image": "data/matching/graph_visual/Base/hard/graph94.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph488", - "image": "data/matching/graph_visual/Base/hard/graph488.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph586", - "image": "data/matching/graph_visual/Base/hard/graph586.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph47", - "image": "data/matching/graph_visual/Base/hard/graph47.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1049", - "image": "data/matching/graph_visual/Base/hard/graph1049.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph387", - "image": "data/matching/graph_visual/Base/hard/graph387.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph48", - "image": "data/matching/graph_visual/Base/hard/graph48.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1105", - "image": "data/matching/graph_visual/Base/hard/graph1105.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph738", - "image": "data/matching/graph_visual/Base/hard/graph738.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1077", - "image": "data/matching/graph_visual/Base/hard/graph1077.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph923", - "image": "data/matching/graph_visual/Base/hard/graph923.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph767", - "image": "data/matching/graph_visual/Base/hard/graph767.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1066", - "image": "data/matching/graph_visual/Base/hard/graph1066.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph448", - "image": "data/matching/graph_visual/Base/hard/graph448.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph190", - "image": "data/matching/graph_visual/Base/hard/graph190.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph655", - "image": "data/matching/graph_visual/Base/hard/graph655.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph618", - "image": "data/matching/graph_visual/Base/hard/graph618.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1252", - "image": "data/matching/graph_visual/Base/hard/graph1252.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph303", - "image": "data/matching/graph_visual/Base/hard/graph303.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph562", - "image": "data/matching/graph_visual/Base/hard/graph562.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1146", - "image": "data/matching/graph_visual/Base/hard/graph1146.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph624", - "image": "data/matching/graph_visual/Base/hard/graph624.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1075", - "image": "data/matching/graph_visual/Base/hard/graph1075.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph861", - "image": "data/matching/graph_visual/Base/hard/graph861.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1230", - "image": "data/matching/graph_visual/Base/hard/graph1230.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph627", - "image": "data/matching/graph_visual/Base/hard/graph627.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph400", - "image": "data/matching/graph_visual/Base/hard/graph400.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph740", - "image": "data/matching/graph_visual/Base/hard/graph740.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph714", - "image": "data/matching/graph_visual/Base/hard/graph714.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph791", - "image": "data/matching/graph_visual/Base/hard/graph791.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph268", - "image": "data/matching/graph_visual/Base/hard/graph268.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1072", - "image": "data/matching/graph_visual/Base/hard/graph1072.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph487", - "image": "data/matching/graph_visual/Base/hard/graph487.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1068", - "image": "data/matching/graph_visual/Base/hard/graph1068.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1086", - "image": "data/matching/graph_visual/Base/hard/graph1086.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1158", - "image": "data/matching/graph_visual/Base/hard/graph1158.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph761", - "image": "data/matching/graph_visual/Base/hard/graph761.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph325", - "image": "data/matching/graph_visual/Base/hard/graph325.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph429", - "image": "data/matching/graph_visual/Base/hard/graph429.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph837", - "image": "data/matching/graph_visual/Base/hard/graph837.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph857", - "image": "data/matching/graph_visual/Base/hard/graph857.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph959", - "image": "data/matching/graph_visual/Base/hard/graph959.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1240", - "image": "data/matching/graph_visual/Base/hard/graph1240.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph178", - "image": "data/matching/graph_visual/Base/hard/graph178.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph988", - "image": "data/matching/graph_visual/Base/hard/graph988.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph784", - "image": "data/matching/graph_visual/Base/hard/graph784.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph114", - "image": "data/matching/graph_visual/Base/hard/graph114.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph333", - "image": "data/matching/graph_visual/Base/hard/graph333.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph512", - "image": "data/matching/graph_visual/Base/hard/graph512.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1214", - "image": "data/matching/graph_visual/Base/hard/graph1214.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph843", - "image": "data/matching/graph_visual/Base/hard/graph843.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph54", - "image": "data/matching/graph_visual/Base/hard/graph54.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1028", - "image": "data/matching/graph_visual/Base/hard/graph1028.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph116", - "image": "data/matching/graph_visual/Base/hard/graph116.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1201", - "image": "data/matching/graph_visual/Base/hard/graph1201.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph832", - "image": "data/matching/graph_visual/Base/hard/graph832.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph570", - "image": "data/matching/graph_visual/Base/hard/graph570.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph28", - "image": "data/matching/graph_visual/Base/hard/graph28.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph441", - "image": "data/matching/graph_visual/Base/hard/graph441.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1045", - "image": "data/matching/graph_visual/Base/hard/graph1045.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1095", - "image": "data/matching/graph_visual/Base/hard/graph1095.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph722", - "image": "data/matching/graph_visual/Base/hard/graph722.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph600", - "image": "data/matching/graph_visual/Base/hard/graph600.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph642", - "image": "data/matching/graph_visual/Base/hard/graph642.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph865", - "image": "data/matching/graph_visual/Base/hard/graph865.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph558", - "image": "data/matching/graph_visual/Base/hard/graph558.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph328", - "image": "data/matching/graph_visual/Base/hard/graph328.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph566", - "image": "data/matching/graph_visual/Base/hard/graph566.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph582", - "image": "data/matching/graph_visual/Base/hard/graph582.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph151", - "image": "data/matching/graph_visual/Base/hard/graph151.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph398", - "image": "data/matching/graph_visual/Base/hard/graph398.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph768", - "image": "data/matching/graph_visual/Base/hard/graph768.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph819", - "image": "data/matching/graph_visual/Base/hard/graph819.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1179", - "image": "data/matching/graph_visual/Base/hard/graph1179.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph285", - "image": "data/matching/graph_visual/Base/hard/graph285.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph720", - "image": "data/matching/graph_visual/Base/hard/graph720.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1093", - "image": "data/matching/graph_visual/Base/hard/graph1093.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph12", - "image": "data/matching/graph_visual/Base/hard/graph12.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph118", - "image": "data/matching/graph_visual/Base/hard/graph118.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1171", - "image": "data/matching/graph_visual/Base/hard/graph1171.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph464", - "image": "data/matching/graph_visual/Base/hard/graph464.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1235", - "image": "data/matching/graph_visual/Base/hard/graph1235.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph927", - "image": "data/matching/graph_visual/Base/hard/graph927.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1147", - "image": "data/matching/graph_visual/Base/hard/graph1147.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1063", - "image": "data/matching/graph_visual/Base/hard/graph1063.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph968", - "image": "data/matching/graph_visual/Base/hard/graph968.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph370", - "image": "data/matching/graph_visual/Base/hard/graph370.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph649", - "image": "data/matching/graph_visual/Base/hard/graph649.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph671", - "image": "data/matching/graph_visual/Base/hard/graph671.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph534", - "image": "data/matching/graph_visual/Base/hard/graph534.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph980", - "image": "data/matching/graph_visual/Base/hard/graph980.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph38", - "image": "data/matching/graph_visual/Base/hard/graph38.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph675", - "image": "data/matching/graph_visual/Base/hard/graph675.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph948", - "image": "data/matching/graph_visual/Base/hard/graph948.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph727", - "image": "data/matching/graph_visual/Base/hard/graph727.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph274", - "image": "data/matching/graph_visual/Base/hard/graph274.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph485", - "image": "data/matching/graph_visual/Base/hard/graph485.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph154", - "image": "data/matching/graph_visual/Base/hard/graph154.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph200", - "image": "data/matching/graph_visual/Base/hard/graph200.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph449", - "image": "data/matching/graph_visual/Base/hard/graph449.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1160", - "image": "data/matching/graph_visual/Base/hard/graph1160.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1259", - "image": "data/matching/graph_visual/Base/hard/graph1259.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph754", - "image": "data/matching/graph_visual/Base/hard/graph754.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph294", - "image": "data/matching/graph_visual/Base/hard/graph294.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1041", - "image": "data/matching/graph_visual/Base/hard/graph1041.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph548", - "image": "data/matching/graph_visual/Base/hard/graph548.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph292", - "image": "data/matching/graph_visual/Base/hard/graph292.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1015", - "image": "data/matching/graph_visual/Base/hard/graph1015.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph506", - "image": "data/matching/graph_visual/Base/hard/graph506.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph108", - "image": "data/matching/graph_visual/Base/hard/graph108.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph747", - "image": "data/matching/graph_visual/Base/hard/graph747.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph971", - "image": "data/matching/graph_visual/Base/hard/graph971.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph538", - "image": "data/matching/graph_visual/Base/hard/graph538.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1083", - "image": "data/matching/graph_visual/Base/hard/graph1083.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1232", - "image": "data/matching/graph_visual/Base/hard/graph1232.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph574", - "image": "data/matching/graph_visual/Base/hard/graph574.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph60", - "image": "data/matching/graph_visual/Base/hard/graph60.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1208", - "image": "data/matching/graph_visual/Base/hard/graph1208.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph906", - "image": "data/matching/graph_visual/Base/hard/graph906.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph172", - "image": "data/matching/graph_visual/Base/hard/graph172.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph781", - "image": "data/matching/graph_visual/Base/hard/graph781.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph986", - "image": "data/matching/graph_visual/Base/hard/graph986.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph972", - "image": "data/matching/graph_visual/Base/hard/graph972.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1169", - "image": "data/matching/graph_visual/Base/hard/graph1169.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph679", - "image": "data/matching/graph_visual/Base/hard/graph679.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph71", - "image": "data/matching/graph_visual/Base/hard/graph71.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph792", - "image": "data/matching/graph_visual/Base/hard/graph792.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph144", - "image": "data/matching/graph_visual/Base/hard/graph144.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1099", - "image": "data/matching/graph_visual/Base/hard/graph1099.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph361", - "image": "data/matching/graph_visual/Base/hard/graph361.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph639", - "image": "data/matching/graph_visual/Base/hard/graph639.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph282", - "image": "data/matching/graph_visual/Base/hard/graph282.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1035", - "image": "data/matching/graph_visual/Base/hard/graph1035.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph659", - "image": "data/matching/graph_visual/Base/hard/graph659.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph704", - "image": "data/matching/graph_visual/Base/hard/graph704.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph319", - "image": "data/matching/graph_visual/Base/hard/graph319.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph327", - "image": "data/matching/graph_visual/Base/hard/graph327.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph751", - "image": "data/matching/graph_visual/Base/hard/graph751.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1073", - "image": "data/matching/graph_visual/Base/hard/graph1073.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph589", - "image": "data/matching/graph_visual/Base/hard/graph589.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph670", - "image": "data/matching/graph_visual/Base/hard/graph670.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1", - "image": "data/matching/graph_visual/Base/hard/graph1.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph1025", - "image": "data/matching/graph_visual/Base/hard/graph1025.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph349", - "image": "data/matching/graph_visual/Base/hard/graph349.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1023", - "image": "data/matching/graph_visual/Base/hard/graph1023.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph171", - "image": "data/matching/graph_visual/Base/hard/graph171.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph308", - "image": "data/matching/graph_visual/Base/hard/graph308.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph864", - "image": "data/matching/graph_visual/Base/hard/graph864.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph891", - "image": "data/matching/graph_visual/Base/hard/graph891.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph113", - "image": "data/matching/graph_visual/Base/hard/graph113.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph870", - "image": "data/matching/graph_visual/Base/hard/graph870.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1089", - "image": "data/matching/graph_visual/Base/hard/graph1089.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph632", - "image": "data/matching/graph_visual/Base/hard/graph632.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1246", - "image": "data/matching/graph_visual/Base/hard/graph1246.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph669", - "image": "data/matching/graph_visual/Base/hard/graph669.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph895", - "image": "data/matching/graph_visual/Base/hard/graph895.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph932", - "image": "data/matching/graph_visual/Base/hard/graph932.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1111", - "image": "data/matching/graph_visual/Base/hard/graph1111.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph565", - "image": "data/matching/graph_visual/Base/hard/graph565.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph695", - "image": "data/matching/graph_visual/Base/hard/graph695.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph629", - "image": "data/matching/graph_visual/Base/hard/graph629.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1239", - "image": "data/matching/graph_visual/Base/hard/graph1239.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph36", - "image": "data/matching/graph_visual/Base/hard/graph36.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph344", - "image": "data/matching/graph_visual/Base/hard/graph344.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph447", - "image": "data/matching/graph_visual/Base/hard/graph447.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph946", - "image": "data/matching/graph_visual/Base/hard/graph946.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph731", - "image": "data/matching/graph_visual/Base/hard/graph731.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1151", - "image": "data/matching/graph_visual/Base/hard/graph1151.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph916", - "image": "data/matching/graph_visual/Base/hard/graph916.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph561", - "image": "data/matching/graph_visual/Base/hard/graph561.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph883", - "image": "data/matching/graph_visual/Base/hard/graph883.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph58", - "image": "data/matching/graph_visual/Base/hard/graph58.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph673", - "image": "data/matching/graph_visual/Base/hard/graph673.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph10", - "image": "data/matching/graph_visual/Base/hard/graph10.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph86", - "image": "data/matching/graph_visual/Base/hard/graph86.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph173", - "image": "data/matching/graph_visual/Base/hard/graph173.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph257", - "image": "data/matching/graph_visual/Base/hard/graph257.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph899", - "image": "data/matching/graph_visual/Base/hard/graph899.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph352", - "image": "data/matching/graph_visual/Base/hard/graph352.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph882", - "image": "data/matching/graph_visual/Base/hard/graph882.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph204", - "image": "data/matching/graph_visual/Base/hard/graph204.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1119", - "image": "data/matching/graph_visual/Base/hard/graph1119.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph396", - "image": "data/matching/graph_visual/Base/hard/graph396.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph270", - "image": "data/matching/graph_visual/Base/hard/graph270.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1026", - "image": "data/matching/graph_visual/Base/hard/graph1026.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph256", - "image": "data/matching/graph_visual/Base/hard/graph256.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph809", - "image": "data/matching/graph_visual/Base/hard/graph809.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph13", - "image": "data/matching/graph_visual/Base/hard/graph13.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph690", - "image": "data/matching/graph_visual/Base/hard/graph690.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph80", - "image": "data/matching/graph_visual/Base/hard/graph80.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph462", - "image": "data/matching/graph_visual/Base/hard/graph462.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1127", - "image": "data/matching/graph_visual/Base/hard/graph1127.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph49", - "image": "data/matching/graph_visual/Base/hard/graph49.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph3", - "image": "data/matching/graph_visual/Base/hard/graph3.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph890", - "image": "data/matching/graph_visual/Base/hard/graph890.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph616", - "image": "data/matching/graph_visual/Base/hard/graph616.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph317", - "image": "data/matching/graph_visual/Base/hard/graph317.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph877", - "image": "data/matching/graph_visual/Base/hard/graph877.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1098", - "image": "data/matching/graph_visual/Base/hard/graph1098.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph379", - "image": "data/matching/graph_visual/Base/hard/graph379.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph419", - "image": "data/matching/graph_visual/Base/hard/graph419.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph691", - "image": "data/matching/graph_visual/Base/hard/graph691.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph613", - "image": "data/matching/graph_visual/Base/hard/graph613.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1071", - "image": "data/matching/graph_visual/Base/hard/graph1071.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph958", - "image": "data/matching/graph_visual/Base/hard/graph958.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1198", - "image": "data/matching/graph_visual/Base/hard/graph1198.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph452", - "image": "data/matching/graph_visual/Base/hard/graph452.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph741", - "image": "data/matching/graph_visual/Base/hard/graph741.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph174", - "image": "data/matching/graph_visual/Base/hard/graph174.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph84", - "image": "data/matching/graph_visual/Base/hard/graph84.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1037", - "image": "data/matching/graph_visual/Base/hard/graph1037.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph944", - "image": "data/matching/graph_visual/Base/hard/graph944.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph556", - "image": "data/matching/graph_visual/Base/hard/graph556.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph828", - "image": "data/matching/graph_visual/Base/hard/graph828.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph750", - "image": "data/matching/graph_visual/Base/hard/graph750.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph93", - "image": "data/matching/graph_visual/Base/hard/graph93.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph697", - "image": "data/matching/graph_visual/Base/hard/graph697.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph641", - "image": "data/matching/graph_visual/Base/hard/graph641.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph967", - "image": "data/matching/graph_visual/Base/hard/graph967.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph358", - "image": "data/matching/graph_visual/Base/hard/graph358.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph887", - "image": "data/matching/graph_visual/Base/hard/graph887.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph476", - "image": "data/matching/graph_visual/Base/hard/graph476.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph127", - "image": "data/matching/graph_visual/Base/hard/graph127.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph835", - "image": "data/matching/graph_visual/Base/hard/graph835.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph215", - "image": "data/matching/graph_visual/Base/hard/graph215.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1120", - "image": "data/matching/graph_visual/Base/hard/graph1120.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1141", - "image": "data/matching/graph_visual/Base/hard/graph1141.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph672", - "image": "data/matching/graph_visual/Base/hard/graph672.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph112", - "image": "data/matching/graph_visual/Base/hard/graph112.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph579", - "image": "data/matching/graph_visual/Base/hard/graph579.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph630", - "image": "data/matching/graph_visual/Base/hard/graph630.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph157", - "image": "data/matching/graph_visual/Base/hard/graph157.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph299", - "image": "data/matching/graph_visual/Base/hard/graph299.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph351", - "image": "data/matching/graph_visual/Base/hard/graph351.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph644", - "image": "data/matching/graph_visual/Base/hard/graph644.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph14", - "image": "data/matching/graph_visual/Base/hard/graph14.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph863", - "image": "data/matching/graph_visual/Base/hard/graph863.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph860", - "image": "data/matching/graph_visual/Base/hard/graph860.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1258", - "image": "data/matching/graph_visual/Base/hard/graph1258.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph853", - "image": "data/matching/graph_visual/Base/hard/graph853.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph275", - "image": "data/matching/graph_visual/Base/hard/graph275.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph626", - "image": "data/matching/graph_visual/Base/hard/graph626.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph559", - "image": "data/matching/graph_visual/Base/hard/graph559.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph336", - "image": "data/matching/graph_visual/Base/hard/graph336.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph33", - "image": "data/matching/graph_visual/Base/hard/graph33.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph822", - "image": "data/matching/graph_visual/Base/hard/graph822.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph454", - "image": "data/matching/graph_visual/Base/hard/graph454.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1064", - "image": "data/matching/graph_visual/Base/hard/graph1064.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph320", - "image": "data/matching/graph_visual/Base/hard/graph320.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph821", - "image": "data/matching/graph_visual/Base/hard/graph821.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1118", - "image": "data/matching/graph_visual/Base/hard/graph1118.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph385", - "image": "data/matching/graph_visual/Base/hard/graph385.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph176", - "image": "data/matching/graph_visual/Base/hard/graph176.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph749", - "image": "data/matching/graph_visual/Base/hard/graph749.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph937", - "image": "data/matching/graph_visual/Base/hard/graph937.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph680", - "image": "data/matching/graph_visual/Base/hard/graph680.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph435", - "image": "data/matching/graph_visual/Base/hard/graph435.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph191", - "image": "data/matching/graph_visual/Base/hard/graph191.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph362", - "image": "data/matching/graph_visual/Base/hard/graph362.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph486", - "image": "data/matching/graph_visual/Base/hard/graph486.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph161", - "image": "data/matching/graph_visual/Base/hard/graph161.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1016", - "image": "data/matching/graph_visual/Base/hard/graph1016.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph817", - "image": "data/matching/graph_visual/Base/hard/graph817.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph493", - "image": "data/matching/graph_visual/Base/hard/graph493.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph879", - "image": "data/matching/graph_visual/Base/hard/graph879.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph219", - "image": "data/matching/graph_visual/Base/hard/graph219.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph976", - "image": "data/matching/graph_visual/Base/hard/graph976.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph756", - "image": "data/matching/graph_visual/Base/hard/graph756.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1185", - "image": "data/matching/graph_visual/Base/hard/graph1185.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph913", - "image": "data/matching/graph_visual/Base/hard/graph913.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph902", - "image": "data/matching/graph_visual/Base/hard/graph902.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1109", - "image": "data/matching/graph_visual/Base/hard/graph1109.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph676", - "image": "data/matching/graph_visual/Base/hard/graph676.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph365", - "image": "data/matching/graph_visual/Base/hard/graph365.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph729", - "image": "data/matching/graph_visual/Base/hard/graph729.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph957", - "image": "data/matching/graph_visual/Base/hard/graph957.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1236", - "image": "data/matching/graph_visual/Base/hard/graph1236.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1036", - "image": "data/matching/graph_visual/Base/hard/graph1036.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph505", - "image": "data/matching/graph_visual/Base/hard/graph505.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph422", - "image": "data/matching/graph_visual/Base/hard/graph422.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph683", - "image": "data/matching/graph_visual/Base/hard/graph683.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1057", - "image": "data/matching/graph_visual/Base/hard/graph1057.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph100", - "image": "data/matching/graph_visual/Base/hard/graph100.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph841", - "image": "data/matching/graph_visual/Base/hard/graph841.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph427", - "image": "data/matching/graph_visual/Base/hard/graph427.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1101", - "image": "data/matching/graph_visual/Base/hard/graph1101.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph210", - "image": "data/matching/graph_visual/Base/hard/graph210.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph620", - "image": "data/matching/graph_visual/Base/hard/graph620.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1000", - "image": "data/matching/graph_visual/Base/hard/graph1000.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph715", - "image": "data/matching/graph_visual/Base/hard/graph715.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph979", - "image": "data/matching/graph_visual/Base/hard/graph979.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1224", - "image": "data/matching/graph_visual/Base/hard/graph1224.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph759", - "image": "data/matching/graph_visual/Base/hard/graph759.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph803", - "image": "data/matching/graph_visual/Base/hard/graph803.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1056", - "image": "data/matching/graph_visual/Base/hard/graph1056.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph950", - "image": "data/matching/graph_visual/Base/hard/graph950.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph366", - "image": "data/matching/graph_visual/Base/hard/graph366.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1217", - "image": "data/matching/graph_visual/Base/hard/graph1217.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph260", - "image": "data/matching/graph_visual/Base/hard/graph260.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph763", - "image": "data/matching/graph_visual/Base/hard/graph763.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph608", - "image": "data/matching/graph_visual/Base/hard/graph608.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph934", - "image": "data/matching/graph_visual/Base/hard/graph934.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph859", - "image": "data/matching/graph_visual/Base/hard/graph859.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph577", - "image": "data/matching/graph_visual/Base/hard/graph577.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph297", - "image": "data/matching/graph_visual/Base/hard/graph297.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1132", - "image": "data/matching/graph_visual/Base/hard/graph1132.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph415", - "image": "data/matching/graph_visual/Base/hard/graph415.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph573", - "image": "data/matching/graph_visual/Base/hard/graph573.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph360", - "image": "data/matching/graph_visual/Base/hard/graph360.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph794", - "image": "data/matching/graph_visual/Base/hard/graph794.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph69", - "image": "data/matching/graph_visual/Base/hard/graph69.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph677", - "image": "data/matching/graph_visual/Base/hard/graph677.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1081", - "image": "data/matching/graph_visual/Base/hard/graph1081.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph101", - "image": "data/matching/graph_visual/Base/hard/graph101.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph780", - "image": "data/matching/graph_visual/Base/hard/graph780.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph95", - "image": "data/matching/graph_visual/Base/hard/graph95.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph713", - "image": "data/matching/graph_visual/Base/hard/graph713.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1226", - "image": "data/matching/graph_visual/Base/hard/graph1226.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph854", - "image": "data/matching/graph_visual/Base/hard/graph854.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph64", - "image": "data/matching/graph_visual/Base/hard/graph64.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph180", - "image": "data/matching/graph_visual/Base/hard/graph180.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph391", - "image": "data/matching/graph_visual/Base/hard/graph391.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph807", - "image": "data/matching/graph_visual/Base/hard/graph807.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph201", - "image": "data/matching/graph_visual/Base/hard/graph201.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph805", - "image": "data/matching/graph_visual/Base/hard/graph805.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph425", - "image": "data/matching/graph_visual/Base/hard/graph425.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph811", - "image": "data/matching/graph_visual/Base/hard/graph811.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph942", - "image": "data/matching/graph_visual/Base/hard/graph942.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph309", - "image": "data/matching/graph_visual/Base/hard/graph309.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1014", - "image": "data/matching/graph_visual/Base/hard/graph1014.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph468", - "image": "data/matching/graph_visual/Base/hard/graph468.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph481", - "image": "data/matching/graph_visual/Base/hard/graph481.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1229", - "image": "data/matching/graph_visual/Base/hard/graph1229.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph796", - "image": "data/matching/graph_visual/Base/hard/graph796.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1046", - "image": "data/matching/graph_visual/Base/hard/graph1046.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph119", - "image": "data/matching/graph_visual/Base/hard/graph119.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph775", - "image": "data/matching/graph_visual/Base/hard/graph775.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph70", - "image": "data/matching/graph_visual/Base/hard/graph70.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph501", - "image": "data/matching/graph_visual/Base/hard/graph501.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph871", - "image": "data/matching/graph_visual/Base/hard/graph871.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph687", - "image": "data/matching/graph_visual/Base/hard/graph687.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph518", - "image": "data/matching/graph_visual/Base/hard/graph518.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph970", - "image": "data/matching/graph_visual/Base/hard/graph970.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph990", - "image": "data/matching/graph_visual/Base/hard/graph990.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph943", - "image": "data/matching/graph_visual/Base/hard/graph943.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph179", - "image": "data/matching/graph_visual/Base/hard/graph179.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph710", - "image": "data/matching/graph_visual/Base/hard/graph710.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1034", - "image": "data/matching/graph_visual/Base/hard/graph1034.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1136", - "image": "data/matching/graph_visual/Base/hard/graph1136.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1087", - "image": "data/matching/graph_visual/Base/hard/graph1087.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1062", - "image": "data/matching/graph_visual/Base/hard/graph1062.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph737", - "image": "data/matching/graph_visual/Base/hard/graph737.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1195", - "image": "data/matching/graph_visual/Base/hard/graph1195.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1175", - "image": "data/matching/graph_visual/Base/hard/graph1175.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph9", - "image": "data/matching/graph_visual/Base/hard/graph9.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph149", - "image": "data/matching/graph_visual/Base/hard/graph149.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph153", - "image": "data/matching/graph_visual/Base/hard/graph153.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph985", - "image": "data/matching/graph_visual/Base/hard/graph985.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1135", - "image": "data/matching/graph_visual/Base/hard/graph1135.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph168", - "image": "data/matching/graph_visual/Base/hard/graph168.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph457", - "image": "data/matching/graph_visual/Base/hard/graph457.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph665", - "image": "data/matching/graph_visual/Base/hard/graph665.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph847", - "image": "data/matching/graph_visual/Base/hard/graph847.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1219", - "image": "data/matching/graph_visual/Base/hard/graph1219.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph446", - "image": "data/matching/graph_visual/Base/hard/graph446.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph239", - "image": "data/matching/graph_visual/Base/hard/graph239.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1174", - "image": "data/matching/graph_visual/Base/hard/graph1174.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1061", - "image": "data/matching/graph_visual/Base/hard/graph1061.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph436", - "image": "data/matching/graph_visual/Base/hard/graph436.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph705", - "image": "data/matching/graph_visual/Base/hard/graph705.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1102", - "image": "data/matching/graph_visual/Base/hard/graph1102.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph250", - "image": "data/matching/graph_visual/Base/hard/graph250.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph989", - "image": "data/matching/graph_visual/Base/hard/graph989.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph760", - "image": "data/matching/graph_visual/Base/hard/graph760.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1055", - "image": "data/matching/graph_visual/Base/hard/graph1055.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph543", - "image": "data/matching/graph_visual/Base/hard/graph543.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph412", - "image": "data/matching/graph_visual/Base/hard/graph412.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph237", - "image": "data/matching/graph_visual/Base/hard/graph237.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1149", - "image": "data/matching/graph_visual/Base/hard/graph1149.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph291", - "image": "data/matching/graph_visual/Base/hard/graph291.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph829", - "image": "data/matching/graph_visual/Base/hard/graph829.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph779", - "image": "data/matching/graph_visual/Base/hard/graph779.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1078", - "image": "data/matching/graph_visual/Base/hard/graph1078.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1216", - "image": "data/matching/graph_visual/Base/hard/graph1216.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1202", - "image": "data/matching/graph_visual/Base/hard/graph1202.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph917", - "image": "data/matching/graph_visual/Base/hard/graph917.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1188", - "image": "data/matching/graph_visual/Base/hard/graph1188.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph428", - "image": "data/matching/graph_visual/Base/hard/graph428.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph39", - "image": "data/matching/graph_visual/Base/hard/graph39.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph403", - "image": "data/matching/graph_visual/Base/hard/graph403.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1253", - "image": "data/matching/graph_visual/Base/hard/graph1253.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph88", - "image": "data/matching/graph_visual/Base/hard/graph88.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph531", - "image": "data/matching/graph_visual/Base/hard/graph531.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph836", - "image": "data/matching/graph_visual/Base/hard/graph836.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph526", - "image": "data/matching/graph_visual/Base/hard/graph526.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1245", - "image": "data/matching/graph_visual/Base/hard/graph1245.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph494", - "image": "data/matching/graph_visual/Base/hard/graph494.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph583", - "image": "data/matching/graph_visual/Base/hard/graph583.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph267", - "image": "data/matching/graph_visual/Base/hard/graph267.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph638", - "image": "data/matching/graph_visual/Base/hard/graph638.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph72", - "image": "data/matching/graph_visual/Base/hard/graph72.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph185", - "image": "data/matching/graph_visual/Base/hard/graph185.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph255", - "image": "data/matching/graph_visual/Base/hard/graph255.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph802", - "image": "data/matching/graph_visual/Base/hard/graph802.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph658", - "image": "data/matching/graph_visual/Base/hard/graph658.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph590", - "image": "data/matching/graph_visual/Base/hard/graph590.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph625", - "image": "data/matching/graph_visual/Base/hard/graph625.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1053", - "image": "data/matching/graph_visual/Base/hard/graph1053.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph797", - "image": "data/matching/graph_visual/Base/hard/graph797.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph440", - "image": "data/matching/graph_visual/Base/hard/graph440.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph567", - "image": "data/matching/graph_visual/Base/hard/graph567.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph825", - "image": "data/matching/graph_visual/Base/hard/graph825.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph1186", - "image": "data/matching/graph_visual/Base/hard/graph1186.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph1058", - "image": "data/matching/graph_visual/Base/hard/graph1058.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph138", - "image": "data/matching/graph_visual/Base/hard/graph138.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1050", - "image": "data/matching/graph_visual/Base/hard/graph1050.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph102", - "image": "data/matching/graph_visual/Base/hard/graph102.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph856", - "image": "data/matching/graph_visual/Base/hard/graph856.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph746", - "image": "data/matching/graph_visual/Base/hard/graph746.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph991", - "image": "data/matching/graph_visual/Base/hard/graph991.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph678", - "image": "data/matching/graph_visual/Base/hard/graph678.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph694", - "image": "data/matching/graph_visual/Base/hard/graph694.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph98", - "image": "data/matching/graph_visual/Base/hard/graph98.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph866", - "image": "data/matching/graph_visual/Base/hard/graph866.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph384", - "image": "data/matching/graph_visual/Base/hard/graph384.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph363", - "image": "data/matching/graph_visual/Base/hard/graph363.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph132", - "image": "data/matching/graph_visual/Base/hard/graph132.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph30", - "image": "data/matching/graph_visual/Base/hard/graph30.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph521", - "image": "data/matching/graph_visual/Base/hard/graph521.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph355", - "image": "data/matching/graph_visual/Base/hard/graph355.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph514", - "image": "data/matching/graph_visual/Base/hard/graph514.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph137", - "image": "data/matching/graph_visual/Base/hard/graph137.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1103", - "image": "data/matching/graph_visual/Base/hard/graph1103.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph827", - "image": "data/matching/graph_visual/Base/hard/graph827.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph908", - "image": "data/matching/graph_visual/Base/hard/graph908.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph76", - "image": "data/matching/graph_visual/Base/hard/graph76.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph1170", - "image": "data/matching/graph_visual/Base/hard/graph1170.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph272", - "image": "data/matching/graph_visual/Base/hard/graph272.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph467", - "image": "data/matching/graph_visual/Base/hard/graph467.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph499", - "image": "data/matching/graph_visual/Base/hard/graph499.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph186", - "image": "data/matching/graph_visual/Base/hard/graph186.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph211", - "image": "data/matching/graph_visual/Base/hard/graph211.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph470", - "image": "data/matching/graph_visual/Base/hard/graph470.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph815", - "image": "data/matching/graph_visual/Base/hard/graph815.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph889", - "image": "data/matching/graph_visual/Base/hard/graph889.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1100", - "image": "data/matching/graph_visual/Base/hard/graph1100.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph445", - "image": "data/matching/graph_visual/Base/hard/graph445.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph525", - "image": "data/matching/graph_visual/Base/hard/graph525.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1161", - "image": "data/matching/graph_visual/Base/hard/graph1161.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph287", - "image": "data/matching/graph_visual/Base/hard/graph287.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph46", - "image": "data/matching/graph_visual/Base/hard/graph46.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph150", - "image": "data/matching/graph_visual/Base/hard/graph150.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph798", - "image": "data/matching/graph_visual/Base/hard/graph798.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph40", - "image": "data/matching/graph_visual/Base/hard/graph40.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1137", - "image": "data/matching/graph_visual/Base/hard/graph1137.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph96", - "image": "data/matching/graph_visual/Base/hard/graph96.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph31", - "image": "data/matching/graph_visual/Base/hard/graph31.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1187", - "image": "data/matching/graph_visual/Base/hard/graph1187.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph818", - "image": "data/matching/graph_visual/Base/hard/graph818.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph164", - "image": "data/matching/graph_visual/Base/hard/graph164.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph393", - "image": "data/matching/graph_visual/Base/hard/graph393.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph24", - "image": "data/matching/graph_visual/Base/hard/graph24.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph1191", - "image": "data/matching/graph_visual/Base/hard/graph1191.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph848", - "image": "data/matching/graph_visual/Base/hard/graph848.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph97", - "image": "data/matching/graph_visual/Base/hard/graph97.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph953", - "image": "data/matching/graph_visual/Base/hard/graph953.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1038", - "image": "data/matching/graph_visual/Base/hard/graph1038.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph324", - "image": "data/matching/graph_visual/Base/hard/graph324.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1110", - "image": "data/matching/graph_visual/Base/hard/graph1110.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1207", - "image": "data/matching/graph_visual/Base/hard/graph1207.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph928", - "image": "data/matching/graph_visual/Base/hard/graph928.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph520", - "image": "data/matching/graph_visual/Base/hard/graph520.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph623", - "image": "data/matching/graph_visual/Base/hard/graph623.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph238", - "image": "data/matching/graph_visual/Base/hard/graph238.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph482", - "image": "data/matching/graph_visual/Base/hard/graph482.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph430", - "image": "data/matching/graph_visual/Base/hard/graph430.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph337", - "image": "data/matching/graph_visual/Base/hard/graph337.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph109", - "image": "data/matching/graph_visual/Base/hard/graph109.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1163", - "image": "data/matching/graph_visual/Base/hard/graph1163.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph334", - "image": "data/matching/graph_visual/Base/hard/graph334.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph699", - "image": "data/matching/graph_visual/Base/hard/graph699.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph933", - "image": "data/matching/graph_visual/Base/hard/graph933.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph1082", - "image": "data/matching/graph_visual/Base/hard/graph1082.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 13 tasks numbered from 0 to 12. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "13." - } - ] - }, - { - "id": "matching-hard-graph16", - "image": "data/matching/graph_visual/Base/hard/graph16.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 7 tasks numbered from 0 to 6. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "7." - } - ] - }, - { - "id": "matching-hard-graph702", - "image": "data/matching/graph_visual/Base/hard/graph702.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1222", - "image": "data/matching/graph_visual/Base/hard/graph1222.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph685", - "image": "data/matching/graph_visual/Base/hard/graph685.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph1114", - "image": "data/matching/graph_visual/Base/hard/graph1114.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph668", - "image": "data/matching/graph_visual/Base/hard/graph668.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph635", - "image": "data/matching/graph_visual/Base/hard/graph635.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 13 hosts numbered from 0 to 12, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1032", - "image": "data/matching/graph_visual/Base/hard/graph1032.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph141", - "image": "data/matching/graph_visual/Base/hard/graph141.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph1211", - "image": "data/matching/graph_visual/Base/hard/graph1211.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 17 tasks numbered from 0 to 16. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph262", - "image": "data/matching/graph_visual/Base/hard/graph262.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph61", - "image": "data/matching/graph_visual/Base/hard/graph61.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 9 tasks numbered from 0 to 8. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "9." - } - ] - }, - { - "id": "matching-hard-graph52", - "image": "data/matching/graph_visual/Base/hard/graph52.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph394", - "image": "data/matching/graph_visual/Base/hard/graph394.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph510", - "image": "data/matching/graph_visual/Base/hard/graph510.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph1012", - "image": "data/matching/graph_visual/Base/hard/graph1012.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 16 tasks numbered from 0 to 15. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph227", - "image": "data/matching/graph_visual/Base/hard/graph227.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph536", - "image": "data/matching/graph_visual/Base/hard/graph536.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph450", - "image": "data/matching/graph_visual/Base/hard/graph450.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph628", - "image": "data/matching/graph_visual/Base/hard/graph628.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph960", - "image": "data/matching/graph_visual/Base/hard/graph960.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 15 tasks numbered from 0 to 14. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "14." - } - ] - }, - { - "id": "matching-hard-graph44", - "image": "data/matching/graph_visual/Base/hard/graph44.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph41", - "image": "data/matching/graph_visual/Base/hard/graph41.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 8 tasks numbered from 0 to 7. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "8." - } - ] - }, - { - "id": "matching-hard-graph1248", - "image": "data/matching/graph_visual/Base/hard/graph1248.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 15 hosts numbered from 0 to 14, and 18 tasks numbered from 0 to 17. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "15." - } - ] - }, - { - "id": "matching-hard-graph496", - "image": "data/matching/graph_visual/Base/hard/graph496.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph585", - "image": "data/matching/graph_visual/Base/hard/graph585.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "11." - } - ] - }, - { - "id": "matching-hard-graph122", - "image": "data/matching/graph_visual/Base/hard/graph122.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 10 hosts numbered from 0 to 9, and 11 tasks numbered from 0 to 10. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph474", - "image": "data/matching/graph_visual/Base/hard/graph474.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 12 hosts numbered from 0 to 11, and 10 tasks numbered from 0 to 9. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "10." - } - ] - }, - { - "id": "matching-hard-graph893", - "image": "data/matching/graph_visual/Base/hard/graph893.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 14 hosts numbered from 0 to 13, and 12 tasks numbered from 0 to 11. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by just one host.\nQ: What is the maximum number of hosts that can be assigned a task they are interested in?" - }, - { - "from": "gpt", - "value": "12." - } - ] - }, - { - "id": "matching-hard-graph405", - "image": "data/matching/graph_visual/Base/hard/graph405.png", - "conversations": [ - { - "from": "human", - "value": "\nThere are 11 hosts numbered from 0 to 10, and 14 tasks numbered from 0 to 13. Each host has a set of tasks that it is interested in, represented by arrows from a host to a task in the diagram. However, each host is capable of solving only one task, and similarly, each task can be resolved by 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." - } - ] - } -] \ No newline at end of file +version https://git-lfs.github.com/spec/v1 +oid sha256:3b870692010b9cc42697d691de2147fb54449894dec8be20b09e0027eb582257 +size 972645