graph
stringlengths 50
311
| messages_l0
listlengths 2
2
| messages_l1
listlengths 2
2
| messages_l2
listlengths 2
2
| messages_l3
listlengths 2
2
| messages_l4
listlengths 2
2
| messages_l5
listlengths 2
2
|
|---|---|---|---|---|---|---|
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (4,5)\",\"Add (0,2)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=19, w=19\",\"Add (4,5)=26, w=45\",\"Add (0,2)=31, w=76\",\"Add (0,3)=45, w=121\",\"Add (1,4)=56, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=19 Succeeded, w=19\",\"Add (4,5)=26 Succeeded, w=45\",\"Add (0,2)=31 Succeeded, w=76\",\"Add (0,3)=45 Succeeded, w=121\",\"Add (3,5)=47 Failed, w=121\",\"Add (2,3)=50 Failed, w=121\",\"Add (1,4)=56 Succeeded, w=177\",\"Add (0,4)=59 Failed, w=177\",\"Add (1,3)=74 Failed, w=177\",\"Add (3,4)=79 Failed, w=177\",\"Add (0,1)=93 Failed, w=177\",\"Add (2,5)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=19,(4,5)=26,(0,2)=31,(0,3)=45,(3,5)=47,(2,3)=50,(1,4)=56,(0,4)=59,(1,3)=74,(3,4)=79,(0,1)=93,(2,5)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Find(4)=2, Find(5)=5, Add (4,5)=26 Succeeded, w=45\",\"Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=76\",\"Find(0)=2, Find(3)=3, Add (0,3)=45 Succeeded, w=121\",\"Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=121\",\"Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=121\",\"Find(1)=1, Find(4)=2, Add (1,4)=56 Succeeded, w=177\",\"Find(0)=2, Find(4)=2, Add (0,4)=59 Failed, w=177\",\"Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=177\",\"Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=177\",\"Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=177\",\"Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,93],[0,2,31],[0,3,45],[0,4,59],[1,3,74],[1,4,56],[2,3,50],[2,4,19],[2,5,98],[3,4,79],[3,5,47],[4,5,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=19,(4,5)=26,(0,2)=31,(0,3)=45,(3,5)=47,(2,3)=50,(1,4)=56,(0,4)=59,(1,3)=74,(3,4)=79,(0,1)=93,(2,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5}, Find(2)=2, Find(4)=4, Add (2,4)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=2, Find(5)=5, Add (4,5)=26 Succeeded, w=45\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=31 Succeeded, w=76\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(3)=3, Add (0,3)=45 Succeeded, w=121\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=47 Failed, w=121\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=50 Failed, w=121\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(4)=2, Add (1,4)=56 Succeeded, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=59 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=74 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=79 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=93 Failed, w=177\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=98 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (1,4)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (3,5)\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=13, w=13\",\"Add (1,4)=14, w=27\",\"Add (0,2)=21, w=48\",\"Add (1,2)=24, w=72\",\"Add (3,5)=68, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=13 Succeeded, w=13\",\"Add (1,4)=14 Succeeded, w=27\",\"Add (0,2)=21 Succeeded, w=48\",\"Add (1,2)=24 Succeeded, w=72\",\"Add (2,5)=42 Failed, w=72\",\"Add (4,5)=49 Failed, w=72\",\"Add (0,5)=52 Failed, w=72\",\"Add (3,5)=68 Succeeded, w=140\",\"Add (2,4)=70 Failed, w=140\",\"Add (0,4)=76 Failed, w=140\",\"Add (0,1)=87 Failed, w=140\",\"Add (3,4)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=13,(1,4)=14,(0,2)=21,(1,2)=24,(2,5)=42,(4,5)=49,(0,5)=52,(3,5)=68,(2,4)=70,(0,4)=76,(0,1)=87,(3,4)=98]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=27\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=48\",\"Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=72\",\"Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=72\",\"Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=72\",\"Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=72\",\"Find(3)=3, Find(5)=1, Add (3,5)=68 Succeeded, w=140\",\"Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=140\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=140\",\"Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=140\",\"Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,87],[0,2,21],[0,4,76],[0,5,52],[1,2,24],[1,4,14],[1,5,13],[2,4,70],[2,5,42],[3,4,98],[3,5,68],[4,5,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=13,(1,4)=14,(0,2)=21,(1,2)=24,(2,5)=42,(4,5)=49,(0,5)=52,(3,5)=68,(2,4)=70,(0,4)=76,(0,1)=87,(3,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 3, 4: 1, 5: 1}, Find(1)=1, Find(2)=0, Add (1,2)=24 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(2)=1, Find(5)=1, Add (2,5)=42 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=1, Add (4,5)=49 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=52 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=3, Find(5)=1, Add (3,5)=68 Succeeded, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=70 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=87 Failed, w=140\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(4)=1, Add (3,4)=98 Failed, w=140\"],\"Answer\":140}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,3)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (2,5)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7, w=7\",\"Add (0,3)=14, w=21\",\"Add (0,4)=14, w=35\",\"Add (1,5)=46, w=81\",\"Add (2,5)=68, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=7 Succeeded, w=7\",\"Add (0,3)=14 Succeeded, w=21\",\"Add (0,4)=14 Succeeded, w=35\",\"Add (1,4)=43 Failed, w=35\",\"Add (1,5)=46 Succeeded, w=81\",\"Add (0,5)=52 Failed, w=81\",\"Add (4,5)=56 Failed, w=81\",\"Add (1,3)=66 Failed, w=81\",\"Add (2,5)=68 Succeeded, w=149\",\"Add (0,2)=87 Failed, w=149\",\"Add (2,4)=91 Failed, w=149\",\"Add (3,5)=91 Failed, w=149\",\"Add (3,4)=93 Failed, w=149\",\"Add (2,3)=94 Failed, w=149\",\"Add (1,2)=99 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,3)=14,(0,4)=14,(1,4)=43,(1,5)=46,(0,5)=52,(4,5)=56,(1,3)=66,(2,5)=68,(0,2)=87,(2,4)=91,(3,5)=91,(3,4)=93,(2,3)=94,(1,2)=99]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=21\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=35\",\"Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=35\",\"Find(1)=0, Find(5)=5, Add (1,5)=46 Succeeded, w=81\",\"Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=81\",\"Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=81\",\"Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=81\",\"Find(2)=2, Find(5)=0, Add (2,5)=68 Succeeded, w=149\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=149\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=149\",\"Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=149\",\"Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=149\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=149\",\"Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,7],[0,2,87],[0,3,14],[0,4,14],[0,5,52],[1,2,99],[1,3,66],[1,4,43],[1,5,46],[2,3,94],[2,4,91],[2,5,68],[3,4,93],[3,5,91],[4,5,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=7,(0,3)=14,(0,4)=14,(1,4)=43,(1,5)=46,(0,5)=52,(4,5)=56,(1,3)=66,(2,5)=68,(0,2)=87,(2,4)=91,(3,5)=91,(3,4)=93,(2,3)=94,(1,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=14 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 5}, Find(1)=0, Find(4)=0, Add (1,4)=43 Failed, w=35\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=5, Add (1,5)=46 Succeeded, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=52 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=56 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=66 Failed, w=81\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=68 Succeeded, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=91 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=93 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=149\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=99 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Answer\":309}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (6,7)\",\"Add (4,6)\",\"Add (5,7)\",\"Add (2,3)\"],\"Answer\":309}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4, w=4\",\"Add (1,3)=6, w=10\",\"Add (0,6)=34, w=44\",\"Add (6,7)=51, w=95\",\"Add (4,6)=57, w=152\",\"Add (5,7)=78, w=230\",\"Add (2,3)=79, w=309\"],\"Answer\":309}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4 Succeeded, w=4\",\"Add (1,3)=6 Succeeded, w=10\",\"Add (0,6)=34 Succeeded, w=44\",\"Add (6,7)=51 Succeeded, w=95\",\"Add (4,6)=57 Succeeded, w=152\",\"Add (5,7)=78 Succeeded, w=230\",\"Add (2,3)=79 Succeeded, w=309\",\"Add (1,7)=84 Failed, w=309\",\"Add (0,5)=90 Failed, w=309\",\"Add (3,5)=90 Failed, w=309\",\"Add (2,5)=93 Failed, w=309\",\"Add (0,4)=96 Failed, w=309\"],\"Answer\":309}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(1,3)=6,(0,6)=34,(6,7)=51,(4,6)=57,(5,7)=78,(2,3)=79,(1,7)=84,(0,5)=90,(3,5)=90,(2,5)=93,(0,4)=96]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=10\",\"Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=44\",\"Find(6)=0, Find(7)=3, Add (6,7)=51 Succeeded, w=95\",\"Find(4)=4, Find(6)=0, Add (4,6)=57 Succeeded, w=152\",\"Find(5)=5, Find(7)=0, Add (5,7)=78 Succeeded, w=230\",\"Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=309\",\"Find(1)=0, Find(7)=0, Add (1,7)=84 Failed, w=309\",\"Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=309\",\"Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=309\",\"Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=309\",\"Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=309\"],\"Answer\":309}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,4,96],[0,5,90],[0,6,34],[1,3,6],[1,7,84],[2,3,79],[2,5,93],[3,5,90],[3,7,4],[4,6,57],[5,7,78],[6,7,51]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(1,3)=6,(0,6)=34,(6,7)=51,(4,6)=57,(5,7)=78,(2,3)=79,(1,7)=84,(0,5)=90,(3,5)=90,(2,5)=93,(0,4)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0, 7: 3}, Find(0)=0, Find(6)=6, Add (0,6)=34 Succeeded, w=44\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0, 7: 3}, Find(6)=0, Find(7)=3, Add (6,7)=51 Succeeded, w=95\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 0, 5: 5, 6: 0, 7: 3}, Find(4)=4, Find(6)=0, Add (4,6)=57 Succeeded, w=152\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(7)=0, Add (5,7)=78 Succeeded, w=230\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=2, Find(3)=0, Add (2,3)=79 Succeeded, w=309\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=84 Failed, w=309\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=90 Failed, w=309\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=90 Failed, w=309\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=93 Failed, w=309\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=96 Failed, w=309\"],\"Answer\":309}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,1)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (2,3)\",\"Add (2,5)\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1, w=1\",\"Add (0,1)=7, w=8\",\"Add (1,2)=11, w=19\",\"Add (4,6)=20, w=39\",\"Add (2,3)=34, w=73\",\"Add (2,5)=71, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=1 Succeeded, w=1\",\"Add (0,1)=7 Succeeded, w=8\",\"Add (1,2)=11 Succeeded, w=19\",\"Add (2,6)=13 Failed, w=19\",\"Add (4,6)=20 Succeeded, w=39\",\"Add (2,3)=34 Succeeded, w=73\",\"Add (0,3)=40 Failed, w=73\",\"Add (2,5)=71 Succeeded, w=144\",\"Add (3,6)=71 Failed, w=144\",\"Add (5,6)=76 Failed, w=144\",\"Add (4,5)=82 Failed, w=144\",\"Add (1,4)=86 Failed, w=144\",\"Add (0,5)=88 Failed, w=144\",\"Add (1,3)=89 Failed, w=144\",\"Add (1,6)=89 Failed, w=144\",\"Add (0,4)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,1)=7,(1,2)=11,(2,6)=13,(4,6)=20,(2,3)=34,(0,3)=40,(2,5)=71,(3,6)=71,(5,6)=76,(4,5)=82,(1,4)=86,(0,5)=88,(1,3)=89,(1,6)=89,(0,4)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=8\",\"Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=19\",\"Find(2)=0, Find(6)=0, Add (2,6)=13 Failed, w=19\",\"Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=39\",\"Find(2)=0, Find(3)=3, Add (2,3)=34 Succeeded, w=73\",\"Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=73\",\"Find(2)=0, Find(5)=5, Add (2,5)=71 Succeeded, w=144\",\"Find(3)=0, Find(6)=0, Add (3,6)=71 Failed, w=144\",\"Find(5)=0, Find(6)=0, Add (5,6)=76 Failed, w=144\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=144\",\"Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=144\",\"Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=144\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=144\",\"Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=144\",\"Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,7],[0,3,40],[0,4,100],[0,5,88],[0,6,1],[1,2,11],[1,3,89],[1,4,86],[1,6,89],[2,3,34],[2,5,71],[2,6,13],[3,6,71],[4,5,82],[4,6,20],[5,6,76]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=1,(0,1)=7,(1,2)=11,(2,6)=13,(4,6)=20,(2,3)=34,(0,3)=40,(2,5)=71,(3,6)=71,(5,6)=76,(4,5)=82,(1,4)=86,(0,5)=88,(1,3)=89,(1,6)=89,(0,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=7 Succeeded, w=8\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(1)=0, Find(2)=2, Add (1,2)=11 Succeeded, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=13 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=39\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(2)=0, Find(3)=3, Add (2,3)=34 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=40 Failed, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=71 Succeeded, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=71 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=76 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=86 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=88 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=89 Failed, w=144\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=100 Failed, w=144\"],\"Answer\":144}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22, w=22\",\"Add (0,5)=23, w=45\",\"Add (1,4)=28, w=73\",\"Add (1,2)=29, w=102\",\"Add (2,3)=29, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=22 Succeeded, w=22\",\"Add (0,5)=23 Succeeded, w=45\",\"Add (1,4)=28 Succeeded, w=73\",\"Add (1,2)=29 Succeeded, w=102\",\"Add (2,3)=29 Succeeded, w=131\",\"Add (2,5)=37 Failed, w=131\",\"Add (1,3)=44 Failed, w=131\",\"Add (3,4)=49 Failed, w=131\",\"Add (3,5)=49 Failed, w=131\",\"Add (1,5)=57 Failed, w=131\",\"Add (4,5)=69 Failed, w=131\",\"Add (0,4)=74 Failed, w=131\",\"Add (2,4)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(0,5)=23,(1,4)=28,(1,2)=29,(2,3)=29,(2,5)=37,(1,3)=44,(3,4)=49,(3,5)=49,(1,5)=57,(4,5)=69,(0,4)=74,(2,4)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=45\",\"Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=73\",\"Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=102\",\"Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=131\",\"Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=131\",\"Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=131\",\"Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=131\",\"Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=131\",\"Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=131\",\"Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=131\",\"Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=131\",\"Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,22],[0,4,74],[0,5,23],[1,2,29],[1,3,44],[1,4,28],[1,5,57],[2,3,29],[2,4,100],[2,5,37],[3,4,49],[3,5,49],[4,5,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=22,(0,5)=23,(1,4)=28,(1,2)=29,(2,3)=29,(2,5)=37,(1,3)=44,(3,4)=49,(3,5)=49,(1,5)=57,(4,5)=69,(0,4)=74,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=23 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=73\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0}, Find(1)=0, Find(2)=2, Add (1,2)=29 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=3, Add (2,3)=29 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=37 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=44 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=49 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=49 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=57 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=69 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=74 Failed, w=131\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=100 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,51],[0,3,55],[1,3,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,55],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,55],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,55],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=51, w=51\",\"Add (0,3)=55, w=106\",\"Add (1,3)=69, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,55],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=51 Succeeded, w=51\",\"Add (0,3)=55 Succeeded, w=106\",\"Add (1,3)=69 Succeeded, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,55],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=51,(0,3)=55,(1,3)=69]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=51\",\"Find(0)=0, Find(3)=3, Add (0,3)=55 Succeeded, w=106\",\"Find(1)=1, Find(3)=0, Add (1,3)=69 Succeeded, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,51],[0,3,55],[1,3,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=51,(0,3)=55,(1,3)=69]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=51 Succeeded, w=51\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=55 Succeeded, w=106\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=69 Succeeded, w=175\"],\"Answer\":175}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,5)\",\"Add (0,2)\",\"Add (1,4)\",\"Add (1,5)\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9, w=9\",\"Add (2,5)=9, w=18\",\"Add (0,2)=44, w=62\",\"Add (1,4)=48, w=110\",\"Add (1,5)=58, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=9 Succeeded, w=9\",\"Add (2,5)=9 Succeeded, w=18\",\"Add (0,2)=44 Succeeded, w=62\",\"Add (1,4)=48 Succeeded, w=110\",\"Add (1,5)=58 Succeeded, w=168\",\"Add (0,5)=59 Failed, w=168\",\"Add (1,2)=74 Failed, w=168\",\"Add (0,1)=85 Failed, w=168\",\"Add (2,4)=97 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(2,5)=9,(0,2)=44,(1,4)=48,(1,5)=58,(0,5)=59,(1,2)=74,(0,1)=85,(2,4)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=18\",\"Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=62\",\"Find(1)=1, Find(4)=4, Add (1,4)=48 Succeeded, w=110\",\"Find(1)=1, Find(5)=2, Add (1,5)=58 Succeeded, w=168\",\"Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=168\",\"Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=168\",\"Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=168\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,85],[0,2,44],[0,5,59],[1,2,74],[1,3,9],[1,4,48],[1,5,58],[2,4,97],[2,5,9]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=9,(2,5)=9,(0,2)=44,(1,4)=48,(1,5)=58,(0,5)=59,(1,2)=74,(0,1)=85,(2,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5}, Find(1)=1, Find(3)=3, Add (1,3)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=9 Succeeded, w=18\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 4, 5: 2}, Find(0)=0, Find(2)=2, Add (0,2)=44 Succeeded, w=62\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(4)=4, Add (1,4)=48 Succeeded, w=110\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=58 Succeeded, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(5)=1, Add (0,5)=59 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(1)=1, Find(2)=1, Add (1,2)=74 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(1)=1, Add (0,1)=85 Failed, w=168\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (1,3)\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11, w=11\",\"Add (2,3)=15, w=26\",\"Add (1,3)=59, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=11 Succeeded, w=11\",\"Add (2,3)=15 Succeeded, w=26\",\"Add (1,3)=59 Succeeded, w=85\",\"Add (0,2)=66 Failed, w=85\",\"Add (0,1)=93 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(2,3)=15,(1,3)=59,(0,2)=66,(0,1)=93]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Find(2)=2, Find(3)=0, Add (2,3)=15 Succeeded, w=26\",\"Find(1)=1, Find(3)=0, Add (1,3)=59 Succeeded, w=85\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=85\",\"Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,66],[0,3,11],[1,3,59],[2,3,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=11,(2,3)=15,(1,3)=59,(0,2)=66,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=15 Succeeded, w=26\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=59 Succeeded, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=85\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=93 Failed, w=85\"],\"Answer\":85}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":368}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,3)\"],\"Answer\":368}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=86, w=86\",\"Add (0,4)=86, w=172\",\"Add (1,3)=96, w=268\",\"Add (2,3)=100, w=368\"],\"Answer\":368}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=86 Succeeded, w=86\",\"Add (0,4)=86 Succeeded, w=172\",\"Add (1,3)=96 Succeeded, w=268\",\"Add (2,3)=100 Succeeded, w=368\"],\"Answer\":368}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=86,(0,4)=86,(1,3)=96,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=86 Succeeded, w=86\",\"Find(0)=0, Find(4)=4, Add (0,4)=86 Succeeded, w=172\",\"Find(1)=0, Find(3)=3, Add (1,3)=96 Succeeded, w=268\",\"Find(2)=2, Find(3)=0, Add (2,3)=100 Succeeded, w=368\"],\"Answer\":368}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,86],[0,4,86],[1,3,96],[2,3,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=86,(0,4)=86,(1,3)=96,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=86 Succeeded, w=86\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=86 Succeeded, w=172\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=96 Succeeded, w=268\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=100 Succeeded, w=368\"],\"Answer\":368}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (2,5)\",\"Add (5,7)\",\"Add (3,6)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (2,5)=2, w=3\",\"Add (5,7)=4, w=7\",\"Add (3,6)=16, w=23\",\"Add (0,6)=20, w=43\",\"Add (4,5)=25, w=68\",\"Add (1,5)=55, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (2,5)=2 Succeeded, w=3\",\"Add (5,7)=4 Succeeded, w=7\",\"Add (3,6)=16 Succeeded, w=23\",\"Add (0,6)=20 Succeeded, w=43\",\"Add (4,5)=25 Succeeded, w=68\",\"Add (5,6)=37 Failed, w=68\",\"Add (4,6)=38 Failed, w=68\",\"Add (2,3)=48 Failed, w=68\",\"Add (6,7)=49 Failed, w=68\",\"Add (1,5)=55 Succeeded, w=123\",\"Add (3,7)=56 Failed, w=123\",\"Add (0,3)=71 Failed, w=123\",\"Add (2,4)=72 Failed, w=123\",\"Add (1,6)=73 Failed, w=123\",\"Add (2,7)=77 Failed, w=123\",\"Add (3,4)=83 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,5)=2,(5,7)=4,(3,6)=16,(0,6)=20,(4,5)=25,(5,6)=37,(4,6)=38,(2,3)=48,(6,7)=49,(1,5)=55,(3,7)=56,(0,3)=71,(2,4)=72,(1,6)=73,(2,7)=77,(3,4)=83]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(2)=2, Find(5)=0, Add (2,5)=2 Succeeded, w=3\",\"Find(5)=0, Find(7)=7, Add (5,7)=4 Succeeded, w=7\",\"Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=23\",\"Find(0)=0, Find(6)=3, Add (0,6)=20 Succeeded, w=43\",\"Find(4)=4, Find(5)=0, Add (4,5)=25 Succeeded, w=68\",\"Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=68\",\"Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=68\",\"Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=68\",\"Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=68\",\"Find(1)=1, Find(5)=0, Add (1,5)=55 Succeeded, w=123\",\"Find(3)=0, Find(7)=0, Add (3,7)=56 Failed, w=123\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=123\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=123\",\"Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=123\",\"Find(2)=0, Find(7)=0, Add (2,7)=77 Failed, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,71],[0,5,1],[0,6,20],[1,5,55],[1,6,73],[2,3,48],[2,4,72],[2,5,2],[2,7,77],[3,4,83],[3,6,16],[3,7,56],[4,5,25],[4,6,38],[5,6,37],[5,7,4],[6,7,49]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(2,5)=2,(5,7)=4,(3,6)=16,(0,6)=20,(4,5)=25,(5,6)=37,(4,6)=38,(2,3)=48,(6,7)=49,(1,5)=55,(3,7)=56,(0,3)=71,(2,4)=72,(1,6)=73,(2,7)=77,(3,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 7}, Find(2)=2, Find(5)=0, Add (2,5)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 6, 7: 0}, Find(5)=0, Find(7)=7, Add (5,7)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 3, 7: 0}, Find(3)=3, Find(6)=6, Add (3,6)=16 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 3, 7: 0}, Find(0)=0, Find(6)=3, Add (0,6)=20 Succeeded, w=43\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3, 7: 0}, Find(4)=4, Find(5)=0, Add (4,5)=25 Succeeded, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=37 Failed, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=38 Failed, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=48 Failed, w=68\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=49 Failed, w=68\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=1, Find(5)=0, Add (1,5)=55 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=56 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(6)=0, Add (1,6)=73 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(7)=0, Add (2,7)=77 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(4)=0, Add (3,4)=83 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (0,3)=21, w=23\",\"Add (1,3)=23, w=46\",\"Add (1,4)=26, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (0,3)=21 Succeeded, w=23\",\"Add (1,3)=23 Succeeded, w=46\",\"Add (1,4)=26 Succeeded, w=72\",\"Add (2,4)=35 Failed, w=72\",\"Add (0,1)=45 Failed, w=72\",\"Add (0,2)=89 Failed, w=72\",\"Add (0,4)=97 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,3)=21,(1,3)=23,(1,4)=26,(2,4)=35,(0,1)=45,(0,2)=89,(0,4)=97]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=23\",\"Find(1)=1, Find(3)=0, Add (1,3)=23 Succeeded, w=46\",\"Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=72\",\"Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=72\",\"Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=72\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=72\",\"Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,45],[0,2,89],[0,3,21],[0,4,97],[1,2,2],[1,3,23],[1,4,26],[2,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(0,3)=21,(1,3)=23,(1,4)=26,(2,4)=35,(0,1)=45,(0,2)=89,(0,4)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=23\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=23 Succeeded, w=46\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=26 Succeeded, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=35 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=45 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=97 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (0,1)=19, w=22\",\"Add (2,3)=30, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (0,1)=19 Succeeded, w=22\",\"Add (2,3)=30 Succeeded, w=52\",\"Add (0,2)=61 Failed, w=52\",\"Add (1,3)=67 Failed, w=52\",\"Add (1,2)=88 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=19,(2,3)=30,(0,2)=61,(1,3)=67,(1,2)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=22\",\"Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=52\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=52\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,19],[0,2,61],[0,3,3],[1,2,88],[1,3,67],[2,3,30]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(0,1)=19,(2,3)=30,(0,2)=61,(1,3)=67,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=19 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=2, Find(3)=0, Add (2,3)=30 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (1,4)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,2)=21, w=23\",\"Add (1,3)=24, w=47\",\"Add (1,4)=68, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,2)=21 Succeeded, w=23\",\"Add (1,3)=24 Succeeded, w=47\",\"Add (1,4)=68 Succeeded, w=115\",\"Add (0,4)=98 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,2)=21,(1,3)=24,(1,4)=68,(0,4)=98]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=23\",\"Find(1)=1, Find(3)=0, Add (1,3)=24 Succeeded, w=47\",\"Find(1)=0, Find(4)=4, Add (1,4)=68 Succeeded, w=115\",\"Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,21],[0,3,2],[0,4,98],[1,3,24],[1,4,68]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,2)=21,(1,3)=24,(1,4)=68,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(3)=0, Add (1,3)=24 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=68 Succeeded, w=115\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=98 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,3)\",\"Add (1,2)\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (0,3)=16, w=16\",\"Add (1,2)=36, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (0,3)=16 Succeeded, w=16\",\"Add (1,2)=36 Succeeded, w=52\",\"Add (0,1)=52 Failed, w=52\",\"Add (2,3)=67 Failed, w=52\",\"Add (0,2)=99 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,3)=16,(1,2)=36,(0,1)=52,(2,3)=67,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=52\",\"Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=52\",\"Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=52\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,52],[0,2,99],[0,3,16],[1,2,36],[1,3,0],[2,3,67]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(0,3)=16,(1,2)=36,(0,1)=52,(2,3)=67,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=16 Succeeded, w=16\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=36 Succeeded, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=52 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(2)=1, Find(3)=1, Add (2,3)=67 Failed, w=52\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (1,4)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3, w=3\",\"Add (0,4)=5, w=8\",\"Add (4,5)=5, w=13\",\"Add (0,3)=6, w=19\",\"Add (1,4)=81, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=3 Succeeded, w=3\",\"Add (0,4)=5 Succeeded, w=8\",\"Add (4,5)=5 Succeeded, w=13\",\"Add (0,3)=6 Succeeded, w=19\",\"Add (2,5)=17 Failed, w=19\",\"Add (3,4)=21 Failed, w=19\",\"Add (2,4)=26 Failed, w=19\",\"Add (0,5)=64 Failed, w=19\",\"Add (1,4)=81 Succeeded, w=100\",\"Add (1,2)=90 Failed, w=100\",\"Add (0,1)=92 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(0,4)=5,(4,5)=5,(0,3)=6,(2,5)=17,(3,4)=21,(2,4)=26,(0,5)=64,(1,4)=81,(1,2)=90,(0,1)=92]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=8\",\"Find(4)=0, Find(5)=5, Add (4,5)=5 Succeeded, w=13\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=19\",\"Find(2)=0, Find(5)=0, Add (2,5)=17 Failed, w=19\",\"Find(3)=0, Find(4)=0, Add (3,4)=21 Failed, w=19\",\"Find(2)=0, Find(4)=0, Add (2,4)=26 Failed, w=19\",\"Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=19\",\"Find(1)=1, Find(4)=0, Add (1,4)=81 Succeeded, w=100\",\"Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=100\",\"Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,92],[0,2,3],[0,3,6],[0,4,5],[0,5,64],[1,2,90],[1,4,81],[2,4,26],[2,5,17],[3,4,21],[4,5,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=3,(0,4)=5,(4,5)=5,(0,3)=6,(2,5)=17,(3,4)=21,(2,4)=26,(0,5)=64,(1,4)=81,(1,2)=90,(0,1)=92]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5}, Find(0)=0, Find(4)=4, Add (0,4)=5 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 0}, Find(4)=0, Find(5)=5, Add (4,5)=5 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=17 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=21 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=26 Failed, w=19\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=64 Failed, w=19\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=1, Find(4)=0, Add (1,4)=81 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=90 Failed, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=0, Add (0,1)=92 Failed, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (1,2)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0, w=0\",\"Add (1,2)=16, w=16\",\"Add (1,4)=27, w=43\",\"Add (3,6)=36, w=79\",\"Add (1,3)=39, w=118\",\"Add (0,3)=41, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=0 Succeeded, w=0\",\"Add (1,2)=16 Succeeded, w=16\",\"Add (1,4)=27 Succeeded, w=43\",\"Add (3,6)=36 Succeeded, w=79\",\"Add (1,3)=39 Succeeded, w=118\",\"Add (1,5)=39 Failed, w=118\",\"Add (0,3)=41 Succeeded, w=159\",\"Add (0,5)=53 Failed, w=159\",\"Add (0,6)=73 Failed, w=159\",\"Add (3,4)=77 Failed, w=159\",\"Add (5,6)=78 Failed, w=159\",\"Add (0,2)=81 Failed, w=159\",\"Add (1,6)=92 Failed, w=159\",\"Add (2,4)=93 Failed, w=159\",\"Add (3,5)=97 Failed, w=159\",\"Add (4,5)=97 Failed, w=159\",\"Add (4,6)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,2)=16,(1,4)=27,(3,6)=36,(1,3)=39,(1,5)=39,(0,3)=41,(0,5)=53,(0,6)=73,(3,4)=77,(5,6)=78,(0,2)=81,(1,6)=92,(2,4)=93,(3,5)=97,(4,5)=97,(4,6)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(1)=2, Find(4)=4, Add (1,4)=27 Succeeded, w=43\",\"Find(3)=3, Find(6)=6, Add (3,6)=36 Succeeded, w=79\",\"Find(1)=2, Find(3)=3, Add (1,3)=39 Succeeded, w=118\",\"Find(1)=2, Find(5)=2, Add (1,5)=39 Failed, w=118\",\"Find(0)=0, Find(3)=2, Add (0,3)=41 Succeeded, w=159\",\"Find(0)=2, Find(5)=2, Add (0,5)=53 Failed, w=159\",\"Find(0)=2, Find(6)=2, Add (0,6)=73 Failed, w=159\",\"Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=159\",\"Find(5)=2, Find(6)=2, Add (5,6)=78 Failed, w=159\",\"Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=159\",\"Find(1)=2, Find(6)=2, Add (1,6)=92 Failed, w=159\",\"Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=159\",\"Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=159\",\"Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=159\",\"Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,81],[0,3,41],[0,5,53],[0,6,73],[1,2,16],[1,3,39],[1,4,27],[1,5,39],[1,6,92],[2,4,93],[2,5,0],[3,4,77],[3,5,97],[3,6,36],[4,5,97],[4,6,99],[5,6,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=0,(1,2)=16,(1,4)=27,(3,6)=36,(1,3)=39,(1,5)=39,(0,3)=41,(0,5)=53,(0,6)=73,(3,4)=77,(5,6)=78,(0,2)=81,(1,6)=92,(2,4)=93,(3,5)=97,(4,5)=97,(4,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 6}, Find(1)=2, Find(4)=4, Add (1,4)=27 Succeeded, w=43\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2, 5: 2, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=36 Succeeded, w=79\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(1)=2, Find(3)=3, Add (1,3)=39 Succeeded, w=118\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(1)=2, Find(5)=2, Add (1,5)=39 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=0, Find(3)=2, Add (0,3)=41 Succeeded, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 3}, Find(0)=2, Find(5)=2, Add (0,5)=53 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(6)=2, Add (0,6)=73 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=77 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(5)=2, Find(6)=2, Add (5,6)=78 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(2)=2, Add (0,2)=81 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(6)=2, Add (1,6)=92 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=93 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=97 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(5)=2, Add (4,5)=97 Failed, w=159\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(4)=2, Find(6)=2, Add (4,6)=99 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (5,6)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (0,4)\",\"Add (3,4)\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2, w=2\",\"Add (5,6)=4, w=6\",\"Add (1,5)=6, w=12\",\"Add (0,2)=9, w=21\",\"Add (0,4)=14, w=35\",\"Add (3,4)=16, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=2 Succeeded, w=2\",\"Add (5,6)=4 Succeeded, w=6\",\"Add (1,5)=6 Succeeded, w=12\",\"Add (0,2)=9 Succeeded, w=21\",\"Add (1,2)=11 Failed, w=21\",\"Add (1,6)=11 Failed, w=21\",\"Add (0,4)=14 Succeeded, w=35\",\"Add (3,4)=16 Succeeded, w=51\",\"Add (3,5)=26 Failed, w=51\",\"Add (2,6)=27 Failed, w=51\",\"Add (4,5)=29 Failed, w=51\",\"Add (0,5)=30 Failed, w=51\",\"Add (1,3)=30 Failed, w=51\",\"Add (2,4)=32 Failed, w=51\",\"Add (2,5)=41 Failed, w=51\",\"Add (0,6)=58 Failed, w=51\",\"Add (1,4)=62 Failed, w=51\",\"Add (3,6)=67 Failed, w=51\",\"Add (0,3)=75 Failed, w=51\",\"Add (2,3)=82 Failed, w=51\",\"Add (4,6)=94 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(5,6)=4,(1,5)=6,(0,2)=9,(1,2)=11,(1,6)=11,(0,4)=14,(3,4)=16,(3,5)=26,(2,6)=27,(4,5)=29,(0,5)=30,(1,3)=30,(2,4)=32,(2,5)=41,(0,6)=58,(1,4)=62,(3,6)=67,(0,3)=75,(2,3)=82,(4,6)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=6\",\"Find(1)=0, Find(5)=5, Add (1,5)=6 Succeeded, w=12\",\"Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=21\",\"Find(1)=0, Find(2)=0, Add (1,2)=11 Failed, w=21\",\"Find(1)=0, Find(6)=0, Add (1,6)=11 Failed, w=21\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=35\",\"Find(3)=3, Find(4)=0, Add (3,4)=16 Succeeded, w=51\",\"Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=51\",\"Find(2)=0, Find(6)=0, Add (2,6)=27 Failed, w=51\",\"Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=51\",\"Find(0)=0, Find(5)=0, Add (0,5)=30 Failed, w=51\",\"Find(1)=0, Find(3)=0, Add (1,3)=30 Failed, w=51\",\"Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=51\",\"Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=51\",\"Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=51\",\"Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=51\",\"Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=51\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=51\",\"Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=51\",\"Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,2],[0,2,9],[0,3,75],[0,4,14],[0,5,30],[0,6,58],[1,2,11],[1,3,30],[1,4,62],[1,5,6],[1,6,11],[2,3,82],[2,4,32],[2,5,41],[2,6,27],[3,4,16],[3,5,26],[3,6,67],[4,5,29],[4,6,94],[5,6,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=2,(5,6)=4,(1,5)=6,(0,2)=9,(1,2)=11,(1,6)=11,(0,4)=14,(3,4)=16,(3,5)=26,(2,6)=27,(4,5)=29,(0,5)=30,(1,3)=30,(2,4)=32,(2,5)=41,(0,6)=58,(1,4)=62,(3,6)=67,(0,3)=75,(2,3)=82,(4,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 0, 6: 5}, Find(1)=0, Find(5)=5, Add (1,5)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 5}, Find(0)=0, Find(2)=2, Add (0,2)=9 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 5}, Find(1)=0, Find(2)=0, Add (1,2)=11 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=11 Failed, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=3, Find(4)=0, Add (3,4)=16 Succeeded, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=26 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=27 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(5)=0, Add (0,5)=30 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=30 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=32 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=41 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=58 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=62 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=67 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=82 Failed, w=51\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=94 Failed, w=51\"],\"Answer\":51}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (2,3)\",\"Add (0,2)\",\"Add (1,4)\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2, w=2\",\"Add (2,3)=9, w=11\",\"Add (0,2)=22, w=33\",\"Add (1,4)=23, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=2 Succeeded, w=2\",\"Add (2,3)=9 Succeeded, w=11\",\"Add (0,2)=22 Succeeded, w=33\",\"Add (1,4)=23 Succeeded, w=56\",\"Add (3,4)=34 Failed, w=56\",\"Add (1,3)=51 Failed, w=56\",\"Add (0,1)=66 Failed, w=56\",\"Add (2,4)=97 Failed, w=56\",\"Add (0,4)=98 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=9,(0,2)=22,(1,4)=23,(3,4)=34,(1,3)=51,(0,1)=66,(2,4)=97,(0,4)=98]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Find(2)=1, Find(3)=3, Add (2,3)=9 Succeeded, w=11\",\"Find(0)=0, Find(2)=1, Add (0,2)=22 Succeeded, w=33\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=56\",\"Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=56\",\"Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=56\",\"Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=56\",\"Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=56\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,66],[0,2,22],[0,4,98],[1,2,2],[1,3,51],[1,4,23],[2,3,9],[2,4,97],[3,4,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=2,(2,3)=9,(0,2)=22,(1,4)=23,(3,4)=34,(1,3)=51,(0,1)=66,(2,4)=97,(0,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4}, Find(2)=1, Find(3)=3, Add (2,3)=9 Succeeded, w=11\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 4}, Find(0)=0, Find(2)=1, Add (0,2)=22 Succeeded, w=33\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=34 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(3)=1, Add (1,3)=51 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=66 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=97 Failed, w=56\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=56\"],\"Answer\":56}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,7)\",\"Add (1,4)\",\"Add (3,6)\",\"Add (1,5)\",\"Add (0,7)\",\"Add (2,5)\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4, w=4\",\"Add (3,7)=8, w=12\",\"Add (1,4)=15, w=27\",\"Add (3,6)=22, w=49\",\"Add (1,5)=33, w=82\",\"Add (0,7)=38, w=120\",\"Add (2,5)=39, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=4 Succeeded, w=4\",\"Add (3,7)=8 Succeeded, w=12\",\"Add (1,4)=15 Succeeded, w=27\",\"Add (3,6)=22 Succeeded, w=49\",\"Add (1,5)=33 Succeeded, w=82\",\"Add (0,7)=38 Succeeded, w=120\",\"Add (2,5)=39 Succeeded, w=159\",\"Add (4,6)=46 Failed, w=159\",\"Add (6,7)=57 Failed, w=159\",\"Add (4,5)=67 Failed, w=159\",\"Add (0,1)=69 Failed, w=159\",\"Add (4,7)=71 Failed, w=159\",\"Add (2,3)=82 Failed, w=159\",\"Add (2,7)=89 Failed, w=159\",\"Add (1,6)=98 Failed, w=159\",\"Add (0,2)=99 Failed, w=159\",\"Add (3,4)=100 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(3,7)=8,(1,4)=15,(3,6)=22,(1,5)=33,(0,7)=38,(2,5)=39,(4,6)=46,(6,7)=57,(4,5)=67,(0,1)=69,(4,7)=71,(2,3)=82,(2,7)=89,(1,6)=98,(0,2)=99,(3,4)=100]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=12\",\"Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=27\",\"Find(3)=3, Find(6)=6, Add (3,6)=22 Succeeded, w=49\",\"Find(1)=1, Find(5)=3, Add (1,5)=33 Succeeded, w=82\",\"Find(0)=0, Find(7)=1, Add (0,7)=38 Succeeded, w=120\",\"Find(2)=2, Find(5)=1, Add (2,5)=39 Succeeded, w=159\",\"Find(4)=1, Find(6)=1, Add (4,6)=46 Failed, w=159\",\"Find(6)=1, Find(7)=1, Add (6,7)=57 Failed, w=159\",\"Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=159\",\"Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=159\",\"Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=159\",\"Find(2)=1, Find(3)=1, Add (2,3)=82 Failed, w=159\",\"Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=159\",\"Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=159\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=159\",\"Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,69],[0,2,99],[0,7,38],[1,4,15],[1,5,33],[1,6,98],[2,3,82],[2,5,39],[2,7,89],[3,4,100],[3,5,4],[3,6,22],[3,7,8],[4,5,67],[4,6,46],[4,7,71],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=4,(3,7)=8,(1,4)=15,(3,6)=22,(1,5)=33,(0,7)=38,(2,5)=39,(4,6)=46,(6,7)=57,(4,5)=67,(0,1)=69,(4,7)=71,(2,3)=82,(2,7)=89,(1,6)=98,(0,2)=99,(3,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 7}, Find(3)=3, Find(5)=5, Add (3,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=8 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 6, 7: 3}, Find(1)=1, Find(4)=4, Add (1,4)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=6, Add (3,6)=22 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 3, 7: 3}, Find(1)=1, Find(5)=3, Add (1,5)=33 Succeeded, w=82\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 3, 6: 3, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=38 Succeeded, w=120\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 3, 7: 1}, Find(2)=2, Find(5)=1, Add (2,5)=39 Succeeded, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=46 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=57 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=67 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=69 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=1, Add (4,7)=71 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=82 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=89 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=98 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=159\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=100 Failed, w=159\"],\"Answer\":159}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,6)\",\"Add (4,6)\",\"Add (1,2)\",\"Add (1,3)\",\"Add (0,5)\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4, w=4\",\"Add (3,6)=5, w=9\",\"Add (4,6)=5, w=14\",\"Add (1,2)=29, w=43\",\"Add (1,3)=34, w=77\",\"Add (0,5)=49, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=4 Succeeded, w=4\",\"Add (3,6)=5 Succeeded, w=9\",\"Add (4,6)=5 Succeeded, w=14\",\"Add (1,2)=29 Succeeded, w=43\",\"Add (1,3)=34 Succeeded, w=77\",\"Add (1,4)=47 Failed, w=77\",\"Add (2,4)=48 Failed, w=77\",\"Add (0,5)=49 Succeeded, w=126\",\"Add (4,5)=55 Failed, w=126\",\"Add (1,5)=56 Failed, w=126\",\"Add (1,6)=70 Failed, w=126\",\"Add (5,6)=81 Failed, w=126\",\"Add (2,5)=84 Failed, w=126\",\"Add (2,3)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(3,6)=5,(4,6)=5,(1,2)=29,(1,3)=34,(1,4)=47,(2,4)=48,(0,5)=49,(4,5)=55,(1,5)=56,(1,6)=70,(5,6)=81,(2,5)=84,(2,3)=100]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=9\",\"Find(4)=4, Find(6)=3, Add (4,6)=5 Succeeded, w=14\",\"Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=43\",\"Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=77\",\"Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=77\",\"Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=77\",\"Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=126\",\"Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=126\",\"Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=126\",\"Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=126\",\"Find(5)=0, Find(6)=0, Add (5,6)=81 Failed, w=126\",\"Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=126\",\"Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,4],[0,5,49],[1,2,29],[1,3,34],[1,4,47],[1,5,56],[1,6,70],[2,3,100],[2,4,48],[2,5,84],[3,6,5],[4,5,55],[4,6,5],[5,6,81]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=4,(3,6)=5,(4,6)=5,(1,2)=29,(1,3)=34,(1,4)=47,(2,4)=48,(0,5)=49,(4,5)=55,(1,5)=56,(1,6)=70,(5,6)=81,(2,5)=84,(2,3)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 3}, Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3}, Find(4)=4, Find(6)=3, Add (4,6)=5 Succeeded, w=14\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 3, 5: 5, 6: 3}, Find(1)=1, Find(2)=0, Add (1,2)=29 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 5, 6: 3}, Find(1)=0, Find(3)=3, Add (1,3)=34 Succeeded, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3}, Find(1)=0, Find(4)=0, Add (1,4)=47 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 3}, Find(2)=0, Find(4)=0, Add (2,4)=48 Failed, w=77\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(0)=0, Find(5)=5, Add (0,5)=49 Succeeded, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(4)=0, Find(5)=0, Add (4,5)=55 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 3}, Find(1)=0, Find(5)=0, Add (1,5)=56 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=70 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=81 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=84 Failed, w=126\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=100 Failed, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,81],[1,2,34],[1,3,3]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,81],[1,2,34],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,81],[1,2,34],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,2)\",\"Add (0,3)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,81],[1,2,34],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3, w=3\",\"Add (1,2)=34, w=37\",\"Add (0,3)=81, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,81],[1,2,34],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=3 Succeeded, w=3\",\"Add (1,2)=34 Succeeded, w=37\",\"Add (0,3)=81 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,81],[1,2,34],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=34,(0,3)=81]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=37\",\"Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,81],[1,2,34],[1,3,3]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=3,(1,2)=34,(0,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=81 Succeeded, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (3,5)\",\"Add (1,2)\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7, w=7\",\"Add (2,5)=8, w=15\",\"Add (3,4)=22, w=37\",\"Add (1,6)=33, w=70\",\"Add (3,5)=40, w=110\",\"Add (1,2)=47, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=7 Succeeded, w=7\",\"Add (2,5)=8 Succeeded, w=15\",\"Add (3,4)=22 Succeeded, w=37\",\"Add (1,6)=33 Succeeded, w=70\",\"Add (3,5)=40 Succeeded, w=110\",\"Add (1,2)=47 Succeeded, w=157\",\"Add (1,5)=51 Failed, w=157\",\"Add (0,5)=58 Failed, w=157\",\"Add (1,4)=64 Failed, w=157\",\"Add (2,6)=69 Failed, w=157\",\"Add (1,3)=72 Failed, w=157\",\"Add (0,6)=78 Failed, w=157\",\"Add (4,5)=79 Failed, w=157\",\"Add (3,6)=80 Failed, w=157\",\"Add (0,3)=83 Failed, w=157\",\"Add (4,6)=85 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(2,5)=8,(3,4)=22,(1,6)=33,(3,5)=40,(1,2)=47,(1,5)=51,(0,5)=58,(1,4)=64,(2,6)=69,(1,3)=72,(0,6)=78,(4,5)=79,(3,6)=80,(0,3)=83,(4,6)=85]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=15\",\"Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=37\",\"Find(1)=1, Find(6)=6, Add (1,6)=33 Succeeded, w=70\",\"Find(3)=0, Find(5)=2, Add (3,5)=40 Succeeded, w=110\",\"Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=157\",\"Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=157\",\"Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=157\",\"Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=157\",\"Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=157\",\"Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=157\",\"Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=157\",\"Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=157\",\"Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=157\",\"Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=157\",\"Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,3,83],[0,4,7],[0,5,58],[0,6,78],[1,2,47],[1,3,72],[1,4,64],[1,5,51],[1,6,33],[2,5,8],[2,6,69],[3,4,22],[3,5,40],[3,6,80],[4,5,79],[4,6,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=7,(2,5)=8,(3,4)=22,(1,6)=33,(3,5)=40,(1,2)=47,(1,5)=51,(0,5)=58,(1,4)=64,(2,6)=69,(1,3)=72,(0,6)=78,(4,5)=79,(3,6)=80,(0,3)=83,(4,6)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 6}, Find(3)=3, Find(4)=0, Add (3,4)=22 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 2, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=33 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 2, 6: 1}, Find(3)=0, Find(5)=2, Add (3,5)=40 Succeeded, w=110\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 1}, Find(1)=1, Find(2)=0, Add (1,2)=47 Succeeded, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(5)=0, Add (1,5)=51 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=0, Add (0,5)=58 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(1)=0, Find(4)=0, Add (1,4)=64 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=69 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=72 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=79 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=80 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=83 Failed, w=157\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=85 Failed, w=157\"],\"Answer\":157}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=34, w=34\",\"Add (1,2)=40, w=74\",\"Add (0,1)=54, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=34 Succeeded, w=34\",\"Add (1,2)=40 Succeeded, w=74\",\"Add (0,1)=54 Succeeded, w=128\",\"Add (0,2)=73 Failed, w=128\",\"Add (2,3)=73 Failed, w=128\",\"Add (1,3)=80 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=34,(1,2)=40,(0,1)=54,(0,2)=73,(2,3)=73,(1,3)=80]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=34\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=74\",\"Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=128\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=128\",\"Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=128\",\"Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,73],[0,3,34],[1,2,40],[1,3,80],[2,3,73]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=34,(1,2)=40,(0,1)=54,(0,2)=73,(2,3)=73,(1,3)=80]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=34 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=54 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=73 Failed, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=80 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}",
"role": "user"
},
{
"content": "{\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=40, w=40\",\"Add (0,1)=47, w=87\",\"Add (1,3)=84, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=40 Succeeded, w=40\",\"Add (0,1)=47 Succeeded, w=87\",\"Add (1,3)=84 Succeeded, w=171\",\"Add (0,3)=88 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=40,(0,1)=47,(1,3)=84,(0,3)=88]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=40\",\"Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=87\",\"Find(1)=1, Find(3)=3, Add (1,3)=84 Succeeded, w=171\",\"Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,47],[0,3,88],[1,2,40],[1,3,84]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=40,(0,1)=47,(1,3)=84,(0,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=40\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=47 Succeeded, w=87\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=84 Succeeded, w=171\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=1, Add (0,3)=88 Failed, w=171\"],\"Answer\":171}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,13],[0,3,54],[1,3,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[0,3,54],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[0,3,54],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[0,3,54],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13, w=13\",\"Add (1,3)=25, w=38\",\"Add (0,3)=54, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[0,3,54],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=13 Succeeded, w=13\",\"Add (1,3)=25 Succeeded, w=38\",\"Add (0,3)=54 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[0,3,54],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=25,(0,3)=54]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=38\",\"Find(0)=0, Find(3)=1, Add (0,3)=54 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,13],[0,3,54],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=13,(1,3)=25,(0,3)=54]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=38\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=54 Succeeded, w=92\"],\"Answer\":92}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,1)\",\"Add (1,3)\",\"Add (3,4)\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6, w=6\",\"Add (0,1)=22, w=28\",\"Add (1,3)=30, w=58\",\"Add (3,4)=35, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=6 Succeeded, w=6\",\"Add (0,1)=22 Succeeded, w=28\",\"Add (1,3)=30 Succeeded, w=58\",\"Add (3,4)=35 Succeeded, w=93\",\"Add (0,2)=40 Failed, w=93\",\"Add (1,4)=59 Failed, w=93\",\"Add (0,3)=71 Failed, w=93\",\"Add (0,4)=75 Failed, w=93\",\"Add (2,3)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,1)=22,(1,3)=30,(3,4)=35,(0,2)=40,(1,4)=59,(0,3)=71,(0,4)=75,(2,3)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=28\",\"Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=58\",\"Find(3)=0, Find(4)=2, Add (3,4)=35 Succeeded, w=93\",\"Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=93\",\"Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=93\",\"Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=93\",\"Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=93\",\"Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,40],[0,3,71],[0,4,75],[1,3,30],[1,4,59],[2,3,94],[2,4,6],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=6,(0,1)=22,(1,3)=30,(3,4)=35,(0,2)=40,(1,4)=59,(0,3)=71,(0,4)=75,(2,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 2}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=28\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 2}, Find(1)=0, Find(3)=3, Add (1,3)=30 Succeeded, w=58\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(3)=0, Find(4)=2, Add (3,4)=35 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2}, Find(0)=0, Find(2)=0, Add (0,2)=40 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(4)=0, Add (1,4)=59 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=71 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=75 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=94 Failed, w=93\"],\"Answer\":93}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)\",\"Add (0,6)\",\"Add (5,6)\",\"Add (3,6)\",\"Add (0,4)\",\"Add (1,3)\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=9, w=9\",\"Add (0,6)=12, w=21\",\"Add (5,6)=13, w=34\",\"Add (3,6)=19, w=53\",\"Add (0,4)=48, w=101\",\"Add (1,3)=67, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,6)=9 Succeeded, w=9\",\"Add (0,6)=12 Succeeded, w=21\",\"Add (5,6)=13 Succeeded, w=34\",\"Add (3,6)=19 Succeeded, w=53\",\"Add (0,4)=48 Succeeded, w=101\",\"Add (3,5)=51 Failed, w=101\",\"Add (2,5)=57 Failed, w=101\",\"Add (1,3)=67 Succeeded, w=168\",\"Add (2,4)=72 Failed, w=168\",\"Add (3,4)=74 Failed, w=168\",\"Add (1,2)=76 Failed, w=168\",\"Add (1,4)=88 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=9,(0,6)=12,(5,6)=13,(3,6)=19,(0,4)=48,(3,5)=51,(2,5)=57,(1,3)=67,(2,4)=72,(3,4)=74,(1,2)=76,(1,4)=88]\",\"Process\":[\"Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(6)=2, Add (0,6)=12 Succeeded, w=21\",\"Find(5)=5, Find(6)=2, Add (5,6)=13 Succeeded, w=34\",\"Find(3)=3, Find(6)=2, Add (3,6)=19 Succeeded, w=53\",\"Find(0)=2, Find(4)=4, Add (0,4)=48 Succeeded, w=101\",\"Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=101\",\"Find(2)=2, Find(5)=2, Add (2,5)=57 Failed, w=101\",\"Find(1)=1, Find(3)=2, Add (1,3)=67 Succeeded, w=168\",\"Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=168\",\"Find(3)=2, Find(4)=2, Add (3,4)=74 Failed, w=168\",\"Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=168\",\"Find(1)=2, Find(4)=2, Add (1,4)=88 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,4,48],[0,6,12],[1,2,76],[1,3,67],[1,4,88],[2,4,72],[2,5,57],[2,6,9],[3,4,74],[3,5,51],[3,6,19],[5,6,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,6)=9,(0,6)=12,(5,6)=13,(3,6)=19,(0,4)=48,(3,5)=51,(2,5)=57,(1,3)=67,(2,4)=72,(3,4)=74,(1,2)=76,(1,4)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(2)=2, Find(6)=6, Add (2,6)=9 Succeeded, w=9\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 2}, Find(0)=0, Find(6)=2, Add (0,6)=12 Succeeded, w=21\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 2}, Find(5)=5, Find(6)=2, Add (5,6)=13 Succeeded, w=34\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2, 6: 2}, Find(3)=3, Find(6)=2, Add (3,6)=19 Succeeded, w=53\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(0)=2, Find(4)=4, Add (0,4)=48 Succeeded, w=101\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(5)=2, Add (3,5)=51 Failed, w=101\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(5)=2, Add (2,5)=57 Failed, w=101\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=1, Find(3)=2, Add (1,3)=67 Succeeded, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(2)=2, Find(4)=2, Add (2,4)=72 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(3)=2, Find(4)=2, Add (3,4)=74 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(2)=2, Add (1,2)=76 Failed, w=168\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2}, Find(1)=2, Find(4)=2, Add (1,4)=88 Failed, w=168\"],\"Answer\":168}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,7)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (0,2)\",\"Add (1,2)\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4, w=4\",\"Add (0,7)=5, w=9\",\"Add (5,7)=11, w=20\",\"Add (2,6)=15, w=35\",\"Add (4,7)=17, w=52\",\"Add (0,2)=20, w=72\",\"Add (1,2)=29, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=4 Succeeded, w=4\",\"Add (0,7)=5 Succeeded, w=9\",\"Add (5,7)=11 Succeeded, w=20\",\"Add (2,6)=15 Succeeded, w=35\",\"Add (4,7)=17 Succeeded, w=52\",\"Add (0,2)=20 Succeeded, w=72\",\"Add (0,3)=23 Failed, w=72\",\"Add (1,2)=29 Succeeded, w=101\",\"Add (2,5)=30 Failed, w=101\",\"Add (1,3)=34 Failed, w=101\",\"Add (0,1)=35 Failed, w=101\",\"Add (1,7)=36 Failed, w=101\",\"Add (3,6)=39 Failed, w=101\",\"Add (2,4)=40 Failed, w=101\",\"Add (6,7)=41 Failed, w=101\",\"Add (3,5)=42 Failed, w=101\",\"Add (4,6)=42 Failed, w=101\",\"Add (5,6)=43 Failed, w=101\",\"Add (1,6)=49 Failed, w=101\",\"Add (0,6)=51 Failed, w=101\",\"Add (4,5)=66 Failed, w=101\",\"Add (1,4)=70 Failed, w=101\",\"Add (1,5)=72 Failed, w=101\",\"Add (0,5)=74 Failed, w=101\",\"Add (0,4)=79 Failed, w=101\",\"Add (2,3)=80 Failed, w=101\",\"Add (2,7)=80 Failed, w=101\",\"Add (3,4)=81 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(0,7)=5,(5,7)=11,(2,6)=15,(4,7)=17,(0,2)=20,(0,3)=23,(1,2)=29,(2,5)=30,(1,3)=34,(0,1)=35,(1,7)=36,(3,6)=39,(2,4)=40,(6,7)=41,(3,5)=42,(4,6)=42,(5,6)=43,(1,6)=49,(0,6)=51,(4,5)=66,(1,4)=70,(1,5)=72,(0,5)=74,(0,4)=79,(2,3)=80,(2,7)=80,(3,4)=81]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Find(0)=0, Find(7)=3, Add (0,7)=5 Succeeded, w=9\",\"Find(5)=5, Find(7)=3, Add (5,7)=11 Succeeded, w=20\",\"Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=35\",\"Find(4)=4, Find(7)=3, Add (4,7)=17 Succeeded, w=52\",\"Find(0)=3, Find(2)=2, Add (0,2)=20 Succeeded, w=72\",\"Find(0)=3, Find(3)=3, Add (0,3)=23 Failed, w=72\",\"Find(1)=1, Find(2)=3, Add (1,2)=29 Succeeded, w=101\",\"Find(2)=3, Find(5)=3, Add (2,5)=30 Failed, w=101\",\"Find(1)=3, Find(3)=3, Add (1,3)=34 Failed, w=101\",\"Find(0)=3, Find(1)=3, Add (0,1)=35 Failed, w=101\",\"Find(1)=3, Find(7)=3, Add (1,7)=36 Failed, w=101\",\"Find(3)=3, Find(6)=3, Add (3,6)=39 Failed, w=101\",\"Find(2)=3, Find(4)=3, Add (2,4)=40 Failed, w=101\",\"Find(6)=3, Find(7)=3, Add (6,7)=41 Failed, w=101\",\"Find(3)=3, Find(5)=3, Add (3,5)=42 Failed, w=101\",\"Find(4)=3, Find(6)=3, Add (4,6)=42 Failed, w=101\",\"Find(5)=3, Find(6)=3, Add (5,6)=43 Failed, w=101\",\"Find(1)=3, Find(6)=3, Add (1,6)=49 Failed, w=101\",\"Find(0)=3, Find(6)=3, Add (0,6)=51 Failed, w=101\",\"Find(4)=3, Find(5)=3, Add (4,5)=66 Failed, w=101\",\"Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=101\",\"Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=101\",\"Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=101\",\"Find(0)=3, Find(4)=3, Add (0,4)=79 Failed, w=101\",\"Find(2)=3, Find(3)=3, Add (2,3)=80 Failed, w=101\",\"Find(2)=3, Find(7)=3, Add (2,7)=80 Failed, w=101\",\"Find(3)=3, Find(4)=3, Add (3,4)=81 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,35],[0,2,20],[0,3,23],[0,4,79],[0,5,74],[0,6,51],[0,7,5],[1,2,29],[1,3,34],[1,4,70],[1,5,72],[1,6,49],[1,7,36],[2,3,80],[2,4,40],[2,5,30],[2,6,15],[2,7,80],[3,4,81],[3,5,42],[3,6,39],[3,7,4],[4,5,66],[4,6,42],[4,7,17],[5,6,43],[5,7,11],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=4,(0,7)=5,(5,7)=11,(2,6)=15,(4,7)=17,(0,2)=20,(0,3)=23,(1,2)=29,(2,5)=30,(1,3)=34,(0,1)=35,(1,7)=36,(3,6)=39,(2,4)=40,(6,7)=41,(3,5)=42,(4,6)=42,(5,6)=43,(1,6)=49,(0,6)=51,(4,5)=66,(1,4)=70,(1,5)=72,(0,5)=74,(0,4)=79,(2,3)=80,(2,7)=80,(3,4)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=4 Succeeded, w=4\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=5 Succeeded, w=9\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 6, 7: 3}, Find(5)=5, Find(7)=3, Add (5,7)=11 Succeeded, w=20\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3, 6: 2, 7: 3}, Find(2)=2, Find(6)=6, Add (2,6)=15 Succeeded, w=35\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(4)=4, Find(7)=3, Add (4,7)=17 Succeeded, w=52\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(0)=3, Find(2)=2, Add (0,2)=20 Succeeded, w=72\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=23 Failed, w=72\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(1)=1, Find(2)=3, Add (1,2)=29 Succeeded, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(2)=3, Find(5)=3, Add (2,5)=30 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=34 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=35 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 2, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=36 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=39 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=40 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=41 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=42 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(6)=3, Add (4,6)=42 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=43 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=49 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=51 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=66 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=70 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=72 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=74 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=79 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=80 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=80 Failed, w=101\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(4)=3, Add (3,4)=81 Failed, w=101\"],\"Answer\":101}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,4)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,4)\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19, w=19\",\"Add (3,4)=20, w=39\",\"Add (0,3)=21, w=60\",\"Add (1,2)=23, w=83\",\"Add (2,4)=25, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19 Succeeded, w=19\",\"Add (3,4)=20 Succeeded, w=39\",\"Add (0,3)=21 Succeeded, w=60\",\"Add (1,2)=23 Succeeded, w=83\",\"Add (0,4)=25 Failed, w=83\",\"Add (2,4)=25 Succeeded, w=108\",\"Add (1,4)=34 Failed, w=108\",\"Add (1,5)=34 Failed, w=108\",\"Add (1,3)=36 Failed, w=108\",\"Add (3,5)=48 Failed, w=108\",\"Add (0,2)=49 Failed, w=108\",\"Add (2,3)=65 Failed, w=108\",\"Add (0,1)=70 Failed, w=108\",\"Add (0,5)=73 Failed, w=108\",\"Add (4,5)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(3,4)=20,(0,3)=21,(1,2)=23,(0,4)=25,(2,4)=25,(1,4)=34,(1,5)=34,(1,3)=36,(3,5)=48,(0,2)=49,(2,3)=65,(0,1)=70,(0,5)=73,(4,5)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=39\",\"Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=60\",\"Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=83\",\"Find(0)=3, Find(4)=3, Add (0,4)=25 Failed, w=83\",\"Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=108\",\"Find(1)=2, Find(4)=2, Add (1,4)=34 Failed, w=108\",\"Find(1)=2, Find(5)=2, Add (1,5)=34 Failed, w=108\",\"Find(1)=2, Find(3)=2, Add (1,3)=36 Failed, w=108\",\"Find(3)=2, Find(5)=2, Add (3,5)=48 Failed, w=108\",\"Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=108\",\"Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=108\",\"Find(0)=2, Find(1)=2, Add (0,1)=70 Failed, w=108\",\"Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=108\",\"Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,70],[0,2,49],[0,3,21],[0,4,25],[0,5,73],[1,2,23],[1,3,36],[1,4,34],[1,5,34],[2,3,65],[2,4,25],[2,5,19],[3,4,20],[3,5,48],[4,5,99]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(3,4)=20,(0,3)=21,(1,2)=23,(0,4)=25,(2,4)=25,(1,4)=34,(1,5)=34,(1,3)=36,(3,5)=48,(0,2)=49,(2,3)=65,(0,1)=70,(0,5)=73,(4,5)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(3)=3, Find(4)=4, Add (3,4)=20 Succeeded, w=39\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=21 Succeeded, w=60\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=23 Succeeded, w=83\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=3, Find(4)=3, Add (0,4)=25 Failed, w=83\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(4)=3, Add (2,4)=25 Succeeded, w=108\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=34 Failed, w=108\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=34 Failed, w=108\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=36 Failed, w=108\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=48 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=49 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=65 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=70 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=73 Failed, w=108\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=99 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (1,4)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2, w=2\",\"Add (0,2)=8, w=10\",\"Add (0,5)=11, w=21\",\"Add (0,1)=35, w=56\",\"Add (1,4)=40, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=2 Succeeded, w=2\",\"Add (0,2)=8 Succeeded, w=10\",\"Add (0,5)=11 Succeeded, w=21\",\"Add (0,1)=35 Succeeded, w=56\",\"Add (1,4)=40 Succeeded, w=96\",\"Add (2,4)=50 Failed, w=96\",\"Add (1,5)=52 Failed, w=96\",\"Add (1,2)=60 Failed, w=96\",\"Add (4,5)=62 Failed, w=96\",\"Add (2,3)=76 Failed, w=96\",\"Add (2,5)=81 Failed, w=96\",\"Add (1,3)=89 Failed, w=96\",\"Add (3,4)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,2)=8,(0,5)=11,(0,1)=35,(1,4)=40,(2,4)=50,(1,5)=52,(1,2)=60,(4,5)=62,(2,3)=76,(2,5)=81,(1,3)=89,(3,4)=99]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=21\",\"Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=56\",\"Find(1)=0, Find(4)=4, Add (1,4)=40 Succeeded, w=96\",\"Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=96\",\"Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=96\",\"Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=96\",\"Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=96\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,35],[0,2,8],[0,3,2],[0,5,11],[1,2,60],[1,3,89],[1,4,40],[1,5,52],[2,3,76],[2,4,50],[2,5,81],[3,4,99],[4,5,62]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=2,(0,2)=8,(0,5)=11,(0,1)=35,(1,4)=40,(2,4)=50,(1,5)=52,(1,2)=60,(4,5)=62,(2,3)=76,(2,5)=81,(1,3)=89,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=35 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=4, Add (1,4)=40 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=50 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=52 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=60 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=62 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=76 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=81 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=89 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (0,1)\",\"Add (3,5)\",\"Add (2,5)\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0, w=0\",\"Add (0,6)=14, w=14\",\"Add (0,5)=20, w=34\",\"Add (0,1)=29, w=63\",\"Add (3,5)=30, w=93\",\"Add (2,5)=48, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=0 Succeeded, w=0\",\"Add (0,6)=14 Succeeded, w=14\",\"Add (0,5)=20 Succeeded, w=34\",\"Add (0,1)=29 Succeeded, w=63\",\"Add (3,5)=30 Succeeded, w=93\",\"Add (3,6)=33 Failed, w=93\",\"Add (2,5)=48 Succeeded, w=141\",\"Add (0,3)=51 Failed, w=141\",\"Add (2,4)=52 Failed, w=141\",\"Add (0,2)=61 Failed, w=141\",\"Add (5,6)=72 Failed, w=141\",\"Add (0,4)=77 Failed, w=141\",\"Add (1,2)=79 Failed, w=141\",\"Add (1,3)=84 Failed, w=141\",\"Add (1,6)=88 Failed, w=141\",\"Add (2,3)=96 Failed, w=141\",\"Add (4,6)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,6)=14,(0,5)=20,(0,1)=29,(3,5)=30,(3,6)=33,(2,5)=48,(0,3)=51,(2,4)=52,(0,2)=61,(5,6)=72,(0,4)=77,(1,2)=79,(1,3)=84,(1,6)=88,(2,3)=96,(4,6)=100]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=14\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=34\",\"Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=63\",\"Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=93\",\"Find(3)=0, Find(6)=0, Add (3,6)=33 Failed, w=93\",\"Find(2)=2, Find(5)=0, Add (2,5)=48 Succeeded, w=141\",\"Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=141\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=141\",\"Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=141\",\"Find(5)=0, Find(6)=0, Add (5,6)=72 Failed, w=141\",\"Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=141\",\"Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=141\",\"Find(1)=0, Find(6)=0, Add (1,6)=88 Failed, w=141\",\"Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=141\",\"Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,29],[0,2,61],[0,3,51],[0,4,77],[0,5,20],[0,6,14],[1,2,79],[1,3,84],[1,4,0],[1,6,88],[2,3,96],[2,4,52],[2,5,48],[3,5,30],[3,6,33],[4,6,100],[5,6,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=0,(0,6)=14,(0,5)=20,(0,1)=29,(3,5)=30,(3,6)=33,(2,5)=48,(0,3)=51,(2,4)=52,(0,2)=61,(5,6)=72,(0,4)=77,(1,2)=79,(1,3)=84,(1,6)=88,(2,3)=96,(4,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=29 Succeeded, w=63\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 0}, Find(3)=3, Find(5)=0, Add (3,5)=30 Succeeded, w=93\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 1, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=33 Failed, w=93\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(2)=2, Find(5)=0, Add (2,5)=48 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=51 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=61 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=72 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=77 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=79 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=88 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=96 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=100 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,3)\",\"Add (4,5)\",\"Add (2,4)\",\"Add (3,4)\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4, w=4\",\"Add (0,3)=6, w=10\",\"Add (4,5)=10, w=20\",\"Add (2,4)=16, w=36\",\"Add (3,4)=30, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=4 Succeeded, w=4\",\"Add (0,3)=6 Succeeded, w=10\",\"Add (4,5)=10 Succeeded, w=20\",\"Add (2,4)=16 Succeeded, w=36\",\"Add (3,4)=30 Succeeded, w=66\",\"Add (0,1)=67 Failed, w=66\",\"Add (1,3)=69 Failed, w=66\",\"Add (2,3)=80 Failed, w=66\",\"Add (1,4)=89 Failed, w=66\",\"Add (0,5)=92 Failed, w=66\",\"Add (1,2)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,3)=6,(4,5)=10,(2,4)=16,(3,4)=30,(0,1)=67,(1,3)=69,(2,3)=80,(1,4)=89,(0,5)=92,(1,2)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=10\",\"Find(4)=4, Find(5)=1, Add (4,5)=10 Succeeded, w=20\",\"Find(2)=2, Find(4)=1, Add (2,4)=16 Succeeded, w=36\",\"Find(3)=0, Find(4)=1, Add (3,4)=30 Succeeded, w=66\",\"Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=66\",\"Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=66\",\"Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=66\",\"Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=66\",\"Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=66\",\"Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,67],[0,3,6],[0,5,92],[1,2,95],[1,3,69],[1,4,89],[1,5,4],[2,3,80],[2,4,16],[3,4,30],[4,5,10]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=4,(0,3)=6,(4,5)=10,(2,4)=16,(3,4)=30,(0,1)=67,(1,3)=69,(2,3)=80,(1,4)=89,(0,5)=92,(1,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 1}, Find(0)=0, Find(3)=3, Add (0,3)=6 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1, 5: 1}, Find(4)=4, Find(5)=1, Add (4,5)=10 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1, 5: 1}, Find(2)=2, Find(4)=1, Add (2,4)=16 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(3)=0, Find(4)=1, Add (3,4)=30 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(0)=0, Find(1)=0, Add (0,1)=67 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 1}, Find(1)=0, Find(3)=0, Add (1,3)=69 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 1}, Find(2)=0, Find(3)=0, Add (2,3)=80 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=89 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=92 Failed, w=66\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=95 Failed, w=66\"],\"Answer\":66}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Answer\":270}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (1,4)\",\"Add (1,2)\",\"Add (3,5)\",\"Add (0,1)\",\"Add (0,5)\"],\"Answer\":270}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=13, w=13\",\"Add (1,4)=33, w=46\",\"Add (1,2)=38, w=84\",\"Add (3,5)=57, w=141\",\"Add (0,1)=61, w=202\",\"Add (0,5)=68, w=270\"],\"Answer\":270}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=13 Succeeded, w=13\",\"Add (1,4)=33 Succeeded, w=46\",\"Add (1,2)=38 Succeeded, w=84\",\"Add (3,5)=57 Succeeded, w=141\",\"Add (0,1)=61 Succeeded, w=202\",\"Add (0,5)=68 Succeeded, w=270\",\"Add (1,6)=72 Failed, w=270\",\"Add (2,6)=75 Failed, w=270\",\"Add (3,6)=78 Failed, w=270\",\"Add (1,5)=84 Failed, w=270\",\"Add (1,3)=85 Failed, w=270\",\"Add (4,5)=100 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=13,(1,4)=33,(1,2)=38,(3,5)=57,(0,1)=61,(0,5)=68,(1,6)=72,(2,6)=75,(3,6)=78,(1,5)=84,(1,3)=85,(4,5)=100]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=13\",\"Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=46\",\"Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=84\",\"Find(3)=3, Find(5)=5, Add (3,5)=57 Succeeded, w=141\",\"Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=202\",\"Find(0)=0, Find(5)=3, Add (0,5)=68 Succeeded, w=270\",\"Find(1)=0, Find(6)=0, Add (1,6)=72 Failed, w=270\",\"Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=270\",\"Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=270\",\"Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=270\",\"Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=270\",\"Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,61],[0,5,68],[0,6,13],[1,2,38],[1,3,85],[1,4,33],[1,5,84],[1,6,72],[2,6,75],[3,5,57],[3,6,78],[4,5,100]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=13,(1,4)=33,(1,2)=38,(3,5)=57,(0,1)=61,(0,5)=68,(1,6)=72,(2,6)=75,(3,6)=78,(1,5)=84,(1,3)=85,(4,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(4)=4, Add (1,4)=33 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(2)=2, Add (1,2)=38 Succeeded, w=84\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 1, 5: 3, 6: 0}, Find(3)=3, Find(5)=5, Add (3,5)=57 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 3, 4: 1, 5: 3, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=61 Succeeded, w=202\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 3, 6: 0}, Find(0)=0, Find(5)=3, Add (0,5)=68 Succeeded, w=270\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 3, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=72 Failed, w=270\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=75 Failed, w=270\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 3, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=78 Failed, w=270\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=270\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=85 Failed, w=270\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=100 Failed, w=270\"],\"Answer\":270}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7, w=7\",\"Add (1,3)=48, w=55\",\"Add (0,2)=53, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=7 Succeeded, w=7\",\"Add (1,3)=48 Succeeded, w=55\",\"Add (0,1)=51 Failed, w=55\",\"Add (0,2)=53 Succeeded, w=108\",\"Add (2,3)=66 Failed, w=108\",\"Add (1,2)=74 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,3)=48,(0,1)=51,(0,2)=53,(2,3)=66,(1,2)=74]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=55\",\"Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=55\",\"Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=108\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=108\",\"Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,51],[0,2,53],[0,3,7],[1,2,74],[1,3,48],[2,3,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=7,(1,3)=48,(0,1)=51,(0,2)=53,(2,3)=66,(1,2)=74]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=48 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=51 Failed, w=55\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=53 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=74 Failed, w=108\"],\"Answer\":108}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,6)\",\"Add (4,5)\",\"Add (3,4)\",\"Add (1,6)\",\"Add (3,6)\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17, w=17\",\"Add (0,6)=20, w=37\",\"Add (4,5)=24, w=61\",\"Add (3,4)=34, w=95\",\"Add (1,6)=38, w=133\",\"Add (3,6)=44, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=17 Succeeded, w=17\",\"Add (0,6)=20 Succeeded, w=37\",\"Add (4,5)=24 Succeeded, w=61\",\"Add (2,6)=33 Failed, w=61\",\"Add (3,4)=34 Succeeded, w=95\",\"Add (1,6)=38 Succeeded, w=133\",\"Add (1,2)=42 Failed, w=133\",\"Add (3,6)=44 Succeeded, w=177\",\"Add (5,6)=44 Failed, w=177\",\"Add (0,4)=46 Failed, w=177\",\"Add (0,5)=53 Failed, w=177\",\"Add (3,5)=67 Failed, w=177\",\"Add (2,3)=68 Failed, w=177\",\"Add (2,4)=68 Failed, w=177\",\"Add (2,5)=72 Failed, w=177\",\"Add (1,4)=76 Failed, w=177\",\"Add (4,6)=78 Failed, w=177\",\"Add (0,3)=87 Failed, w=177\",\"Add (1,3)=87 Failed, w=177\",\"Add (1,5)=88 Failed, w=177\",\"Add (0,1)=90 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,6)=20,(4,5)=24,(2,6)=33,(3,4)=34,(1,6)=38,(1,2)=42,(3,6)=44,(5,6)=44,(0,4)=46,(0,5)=53,(3,5)=67,(2,3)=68,(2,4)=68,(2,5)=72,(1,4)=76,(4,6)=78,(0,3)=87,(1,3)=87,(1,5)=88,(0,1)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=37\",\"Find(4)=4, Find(5)=5, Add (4,5)=24 Succeeded, w=61\",\"Find(2)=0, Find(6)=0, Add (2,6)=33 Failed, w=61\",\"Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=95\",\"Find(1)=1, Find(6)=0, Add (1,6)=38 Succeeded, w=133\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=133\",\"Find(3)=4, Find(6)=0, Add (3,6)=44 Succeeded, w=177\",\"Find(5)=4, Find(6)=4, Add (5,6)=44 Failed, w=177\",\"Find(0)=4, Find(4)=4, Add (0,4)=46 Failed, w=177\",\"Find(0)=4, Find(5)=4, Add (0,5)=53 Failed, w=177\",\"Find(3)=4, Find(5)=4, Add (3,5)=67 Failed, w=177\",\"Find(2)=4, Find(3)=4, Add (2,3)=68 Failed, w=177\",\"Find(2)=4, Find(4)=4, Add (2,4)=68 Failed, w=177\",\"Find(2)=4, Find(5)=4, Add (2,5)=72 Failed, w=177\",\"Find(1)=4, Find(4)=4, Add (1,4)=76 Failed, w=177\",\"Find(4)=4, Find(6)=4, Add (4,6)=78 Failed, w=177\",\"Find(0)=4, Find(3)=4, Add (0,3)=87 Failed, w=177\",\"Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=177\",\"Find(1)=4, Find(5)=4, Add (1,5)=88 Failed, w=177\",\"Find(0)=4, Find(1)=4, Add (0,1)=90 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,17],[0,3,87],[0,4,46],[0,5,53],[0,6,20],[1,2,42],[1,3,87],[1,4,76],[1,5,88],[1,6,38],[2,3,68],[2,4,68],[2,5,72],[2,6,33],[3,4,34],[3,5,67],[3,6,44],[4,5,24],[4,6,78],[5,6,44]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=17,(0,6)=20,(4,5)=24,(2,6)=33,(3,4)=34,(1,6)=38,(1,2)=42,(3,6)=44,(5,6)=44,(0,4)=46,(0,5)=53,(3,5)=67,(2,3)=68,(2,4)=68,(2,5)=72,(1,4)=76,(4,6)=78,(0,3)=87,(1,3)=87,(1,5)=88,(0,1)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=20 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(5)=5, Add (4,5)=24 Succeeded, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 4, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=33 Failed, w=61\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=34 Succeeded, w=95\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=1, Find(6)=0, Add (1,6)=38 Succeeded, w=133\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=133\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=4, Find(6)=0, Add (3,6)=44 Succeeded, w=177\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=44 Failed, w=177\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(4)=4, Add (0,4)=46 Failed, w=177\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=53 Failed, w=177\",\"Parent: {0: 4, 1: 0, 2: 0, 3: 4, 4: 4, 5: 4, 6: 4}, Find(3)=4, Find(5)=4, Add (3,5)=67 Failed, w=177\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(3)=4, Add (2,3)=68 Failed, w=177\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(4)=4, Add (2,4)=68 Failed, w=177\",\"Parent: {0: 4, 1: 0, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(5)=4, Add (2,5)=72 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=76 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(4)=4, Find(6)=4, Add (4,6)=78 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=87 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(3)=4, Add (1,3)=87 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=88 Failed, w=177\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=90 Failed, w=177\"],\"Answer\":177}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,5)\",\"Add (0,3)\",\"Add (1,2)\",\"Add (2,3)\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11, w=11\",\"Add (2,5)=19, w=30\",\"Add (0,3)=40, w=70\",\"Add (1,2)=40, w=110\",\"Add (2,3)=46, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=11 Succeeded, w=11\",\"Add (2,5)=19 Succeeded, w=30\",\"Add (0,3)=40 Succeeded, w=70\",\"Add (1,2)=40 Succeeded, w=110\",\"Add (1,5)=46 Failed, w=110\",\"Add (2,3)=46 Succeeded, w=156\",\"Add (3,5)=52 Failed, w=156\",\"Add (0,1)=54 Failed, w=156\",\"Add (1,3)=58 Failed, w=156\",\"Add (0,4)=63 Failed, w=156\",\"Add (0,2)=68 Failed, w=156\",\"Add (4,5)=88 Failed, w=156\",\"Add (2,4)=90 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(2,5)=19,(0,3)=40,(1,2)=40,(1,5)=46,(2,3)=46,(3,5)=52,(0,1)=54,(1,3)=58,(0,4)=63,(0,2)=68,(4,5)=88,(2,4)=90]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=30\",\"Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=70\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=110\",\"Find(1)=2, Find(5)=2, Add (1,5)=46 Failed, w=110\",\"Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=156\",\"Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=156\",\"Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=156\",\"Find(1)=2, Find(3)=2, Add (1,3)=58 Failed, w=156\",\"Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=156\",\"Find(0)=2, Find(2)=2, Add (0,2)=68 Failed, w=156\",\"Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=156\",\"Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,54],[0,2,68],[0,3,40],[0,4,63],[1,2,40],[1,3,58],[1,5,46],[2,3,46],[2,4,90],[2,5,19],[3,4,11],[3,5,52],[4,5,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=11,(2,5)=19,(0,3)=40,(1,2)=40,(1,5)=46,(2,3)=46,(3,5)=52,(0,1)=54,(1,3)=58,(0,4)=63,(0,2)=68,(4,5)=88,(2,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5}, Find(3)=3, Find(4)=4, Add (3,4)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=30\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=40 Succeeded, w=70\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=110\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 3, 4: 3, 5: 2}, Find(1)=2, Find(5)=2, Add (1,5)=46 Failed, w=110\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(2)=2, Find(3)=3, Add (2,3)=46 Succeeded, w=156\",\"Parent: {0: 3, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(3)=2, Find(5)=2, Add (3,5)=52 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(0)=2, Find(1)=2, Add (0,1)=54 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 3, 5: 2}, Find(1)=2, Find(3)=2, Add (1,3)=58 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=63 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(2)=2, Add (0,2)=68 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=2, Find(5)=2, Add (4,5)=88 Failed, w=156\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(4)=2, Add (2,4)=90 Failed, w=156\"],\"Answer\":156}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":193}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (0,4)\",\"Add (4,5)\",\"Add (2,4)\"],\"Answer\":193}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8, w=8\",\"Add (0,4)=26, w=34\",\"Add (4,5)=64, w=98\",\"Add (2,4)=95, w=193\"],\"Answer\":193}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=8 Succeeded, w=8\",\"Add (0,4)=26 Succeeded, w=34\",\"Add (4,5)=64 Succeeded, w=98\",\"Add (1,4)=70 Failed, w=98\",\"Add (2,4)=95 Succeeded, w=193\"],\"Answer\":193}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(0,4)=26,(4,5)=64,(1,4)=70,(2,4)=95]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=34\",\"Find(4)=0, Find(5)=1, Add (4,5)=64 Succeeded, w=98\",\"Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=98\",\"Find(2)=2, Find(4)=0, Add (2,4)=95 Succeeded, w=193\"],\"Answer\":193}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,26],[1,4,70],[1,5,8],[2,4,95],[4,5,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=8,(0,4)=26,(4,5)=64,(1,4)=70,(2,4)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1}, Find(1)=1, Find(5)=5, Add (1,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 1}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=34\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 1}, Find(4)=0, Find(5)=1, Add (4,5)=64 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 1}, Find(1)=0, Find(4)=0, Add (1,4)=70 Failed, w=98\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 1}, Find(2)=2, Find(4)=0, Add (2,4)=95 Succeeded, w=193\"],\"Answer\":193}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (3,5)\",\"Add (3,6)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1, w=1\",\"Add (3,5)=3, w=4\",\"Add (3,6)=7, w=11\",\"Add (0,1)=12, w=23\",\"Add (0,2)=21, w=44\",\"Add (0,4)=60, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=1 Succeeded, w=1\",\"Add (3,5)=3 Succeeded, w=4\",\"Add (3,6)=7 Succeeded, w=11\",\"Add (0,1)=12 Succeeded, w=23\",\"Add (0,2)=21 Succeeded, w=44\",\"Add (1,5)=27 Failed, w=44\",\"Add (2,3)=43 Failed, w=44\",\"Add (0,6)=51 Failed, w=44\",\"Add (0,4)=60 Succeeded, w=104\",\"Add (1,2)=63 Failed, w=104\",\"Add (4,6)=66 Failed, w=104\",\"Add (2,6)=68 Failed, w=104\",\"Add (0,3)=75 Failed, w=104\",\"Add (3,4)=77 Failed, w=104\",\"Add (2,5)=79 Failed, w=104\",\"Add (2,4)=82 Failed, w=104\",\"Add (4,5)=82 Failed, w=104\",\"Add (1,3)=84 Failed, w=104\",\"Add (1,4)=90 Failed, w=104\",\"Add (1,6)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(3,5)=3,(3,6)=7,(0,1)=12,(0,2)=21,(1,5)=27,(2,3)=43,(0,6)=51,(0,4)=60,(1,2)=63,(4,6)=66,(2,6)=68,(0,3)=75,(3,4)=77,(2,5)=79,(2,4)=82,(4,5)=82,(1,3)=84,(1,4)=90,(1,6)=100]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Find(3)=3, Find(5)=0, Add (3,5)=3 Succeeded, w=4\",\"Find(3)=0, Find(6)=6, Add (3,6)=7 Succeeded, w=11\",\"Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=23\",\"Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=44\",\"Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=44\",\"Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=44\",\"Find(0)=0, Find(6)=0, Add (0,6)=51 Failed, w=44\",\"Find(0)=0, Find(4)=4, Add (0,4)=60 Succeeded, w=104\",\"Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=104\",\"Find(4)=0, Find(6)=0, Add (4,6)=66 Failed, w=104\",\"Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=104\",\"Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=104\",\"Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=104\",\"Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=104\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=104\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=104\",\"Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=104\",\"Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=104\",\"Find(1)=0, Find(6)=0, Add (1,6)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,12],[0,2,21],[0,3,75],[0,4,60],[0,5,1],[0,6,51],[1,2,63],[1,3,84],[1,4,90],[1,5,27],[1,6,100],[2,3,43],[2,4,82],[2,5,79],[2,6,68],[3,4,77],[3,5,3],[3,6,7],[4,5,82],[4,6,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=1,(3,5)=3,(3,6)=7,(0,1)=12,(0,2)=21,(1,5)=27,(2,3)=43,(0,6)=51,(0,4)=60,(1,2)=63,(4,6)=66,(2,6)=68,(0,3)=75,(3,4)=77,(2,5)=79,(2,4)=82,(4,5)=82,(1,3)=84,(1,4)=90,(1,6)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 6}, Find(3)=3, Find(5)=0, Add (3,5)=3 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=7 Succeeded, w=11\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(1)=1, Add (0,1)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=21 Succeeded, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=27 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=43 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=51 Failed, w=44\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=4, Add (0,4)=60 Succeeded, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(2)=0, Add (1,2)=63 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=66 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=68 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=75 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=77 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=79 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=84 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=90 Failed, w=104\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=100 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (0,1)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (2,5)\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15, w=15\",\"Add (0,1)=18, w=33\",\"Add (0,3)=26, w=59\",\"Add (1,4)=30, w=89\",\"Add (2,5)=36, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=15 Succeeded, w=15\",\"Add (0,1)=18 Succeeded, w=33\",\"Add (0,3)=26 Succeeded, w=59\",\"Add (1,4)=30 Succeeded, w=89\",\"Add (4,5)=34 Failed, w=89\",\"Add (2,5)=36 Succeeded, w=125\",\"Add (0,4)=48 Failed, w=125\",\"Add (2,3)=50 Failed, w=125\",\"Add (3,4)=61 Failed, w=125\",\"Add (1,2)=78 Failed, w=125\",\"Add (1,5)=84 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(0,1)=18,(0,3)=26,(1,4)=30,(4,5)=34,(2,5)=36,(0,4)=48,(2,3)=50,(3,4)=61,(1,2)=78,(1,5)=84]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=33\",\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=59\",\"Find(1)=0, Find(4)=4, Add (1,4)=30 Succeeded, w=89\",\"Find(4)=0, Find(5)=0, Add (4,5)=34 Failed, w=89\",\"Find(2)=2, Find(5)=0, Add (2,5)=36 Succeeded, w=125\",\"Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=125\",\"Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=125\",\"Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=125\",\"Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=125\",\"Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,18],[0,3,26],[0,4,48],[1,2,78],[1,4,30],[1,5,84],[2,3,50],[2,5,36],[3,4,61],[3,5,15],[4,5,34]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=15,(0,1)=18,(0,3)=26,(1,4)=30,(4,5)=34,(2,5)=36,(0,4)=48,(2,3)=50,(3,4)=61,(1,2)=78,(1,5)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=15 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=18 Succeeded, w=33\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 4, 5: 3}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(4)=4, Add (1,4)=30 Succeeded, w=89\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=34 Failed, w=89\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(5)=0, Add (2,5)=36 Succeeded, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=48 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(3)=0, Add (2,3)=50 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=61 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=78 Failed, w=125\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=84 Failed, w=125\"],\"Answer\":125}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (6,7)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (4,7)\",\"Add (1,5)\",\"Add (0,4)\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1, w=1\",\"Add (6,7)=4, w=5\",\"Add (5,7)=5, w=10\",\"Add (2,6)=6, w=16\",\"Add (4,7)=17, w=33\",\"Add (1,5)=19, w=52\",\"Add (0,4)=39, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=1 Succeeded, w=1\",\"Add (6,7)=4 Succeeded, w=5\",\"Add (5,7)=5 Succeeded, w=10\",\"Add (2,6)=6 Succeeded, w=16\",\"Add (2,7)=8 Failed, w=16\",\"Add (4,7)=17 Succeeded, w=33\",\"Add (1,5)=19 Succeeded, w=52\",\"Add (1,6)=33 Failed, w=52\",\"Add (0,4)=39 Succeeded, w=91\",\"Add (0,1)=43 Failed, w=91\",\"Add (4,6)=46 Failed, w=91\",\"Add (2,5)=47 Failed, w=91\",\"Add (1,3)=54 Failed, w=91\",\"Add (3,5)=58 Failed, w=91\",\"Add (5,6)=61 Failed, w=91\",\"Add (3,7)=62 Failed, w=91\",\"Add (3,6)=67 Failed, w=91\",\"Add (2,4)=72 Failed, w=91\",\"Add (1,4)=82 Failed, w=91\",\"Add (1,7)=83 Failed, w=91\",\"Add (0,3)=88 Failed, w=91\",\"Add (0,7)=96 Failed, w=91\",\"Add (4,5)=96 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(6,7)=4,(5,7)=5,(2,6)=6,(2,7)=8,(4,7)=17,(1,5)=19,(1,6)=33,(0,4)=39,(0,1)=43,(4,6)=46,(2,5)=47,(1,3)=54,(3,5)=58,(5,6)=61,(3,7)=62,(3,6)=67,(2,4)=72,(1,4)=82,(1,7)=83,(0,3)=88,(0,7)=96,(4,5)=96]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=5\",\"Find(5)=5, Find(7)=6, Add (5,7)=5 Succeeded, w=10\",\"Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=16\",\"Find(2)=6, Find(7)=6, Add (2,7)=8 Failed, w=16\",\"Find(4)=3, Find(7)=6, Add (4,7)=17 Succeeded, w=33\",\"Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=52\",\"Find(1)=3, Find(6)=3, Add (1,6)=33 Failed, w=52\",\"Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=91\",\"Find(0)=3, Find(1)=3, Add (0,1)=43 Failed, w=91\",\"Find(4)=3, Find(6)=3, Add (4,6)=46 Failed, w=91\",\"Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=91\",\"Find(1)=3, Find(3)=3, Add (1,3)=54 Failed, w=91\",\"Find(3)=3, Find(5)=3, Add (3,5)=58 Failed, w=91\",\"Find(5)=3, Find(6)=3, Add (5,6)=61 Failed, w=91\",\"Find(3)=3, Find(7)=3, Add (3,7)=62 Failed, w=91\",\"Find(3)=3, Find(6)=3, Add (3,6)=67 Failed, w=91\",\"Find(2)=3, Find(4)=3, Add (2,4)=72 Failed, w=91\",\"Find(1)=3, Find(4)=3, Add (1,4)=82 Failed, w=91\",\"Find(1)=3, Find(7)=3, Add (1,7)=83 Failed, w=91\",\"Find(0)=3, Find(3)=3, Add (0,3)=88 Failed, w=91\",\"Find(0)=3, Find(7)=3, Add (0,7)=96 Failed, w=91\",\"Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,43],[0,3,88],[0,4,39],[0,7,96],[1,3,54],[1,4,82],[1,5,19],[1,6,33],[1,7,83],[2,4,72],[2,5,47],[2,6,6],[2,7,8],[3,4,1],[3,5,58],[3,6,67],[3,7,62],[4,5,96],[4,6,46],[4,7,17],[5,6,61],[5,7,5],[6,7,4]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=1,(6,7)=4,(5,7)=5,(2,6)=6,(2,7)=8,(4,7)=17,(1,5)=19,(1,6)=33,(0,4)=39,(0,1)=43,(4,6)=46,(2,5)=47,(1,3)=54,(3,5)=58,(5,6)=61,(3,7)=62,(3,6)=67,(2,4)=72,(1,4)=82,(1,7)=83,(0,3)=88,(0,7)=96,(4,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 6}, Find(6)=6, Find(7)=7, Add (6,7)=4 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(5)=5, Find(7)=6, Add (5,7)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(2)=2, Find(6)=6, Add (2,6)=6 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 3, 5: 6, 6: 6, 7: 6}, Find(2)=6, Find(7)=6, Add (2,7)=8 Failed, w=16\",\"Parent: {0: 0, 1: 1, 2: 6, 3: 3, 4: 3, 5: 6, 6: 3, 7: 6}, Find(4)=3, Find(7)=6, Add (4,7)=17 Succeeded, w=33\",\"Parent: {0: 0, 1: 3, 2: 6, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(1)=1, Find(5)=3, Add (1,5)=19 Succeeded, w=52\",\"Parent: {0: 0, 1: 3, 2: 6, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(1)=3, Find(6)=3, Add (1,6)=33 Failed, w=52\",\"Parent: {0: 3, 1: 3, 2: 6, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(0)=0, Find(4)=3, Add (0,4)=39 Succeeded, w=91\",\"Parent: {0: 3, 1: 3, 2: 6, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(0)=3, Find(1)=3, Add (0,1)=43 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 6, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(4)=3, Find(6)=3, Add (4,6)=46 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(2)=3, Find(5)=3, Add (2,5)=47 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(1)=3, Find(3)=3, Add (1,3)=54 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(3)=3, Find(5)=3, Add (3,5)=58 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 6}, Find(5)=3, Find(6)=3, Add (5,6)=61 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(7)=3, Add (3,7)=62 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=67 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=72 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=82 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=83 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=88 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=96 Failed, w=91\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=3, Add (4,5)=96 Failed, w=91\"],\"Answer\":91}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,3,17],[1,3,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,17],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,17],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,17],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17, w=17\",\"Add (1,3)=64, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,17],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=17 Succeeded, w=17\",\"Add (1,3)=64 Succeeded, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,17],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(1,3)=64]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Find(1)=1, Find(3)=0, Add (1,3)=64 Succeeded, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,3,17],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=17,(1,3)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=17 Succeeded, w=17\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=64 Succeeded, w=81\"],\"Answer\":81}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,2)\",\"Add (0,3)\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10, w=10\",\"Add (0,2)=16, w=26\",\"Add (0,3)=32, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=10 Succeeded, w=10\",\"Add (0,2)=16 Succeeded, w=26\",\"Add (0,3)=32 Succeeded, w=58\",\"Add (0,1)=54 Failed, w=58\",\"Add (1,3)=64 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,2)=16,(0,3)=32,(0,1)=54,(1,3)=64]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Find(0)=0, Find(2)=1, Add (0,2)=16 Succeeded, w=26\",\"Find(0)=1, Find(3)=3, Add (0,3)=32 Succeeded, w=58\",\"Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=58\",\"Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,54],[0,2,16],[0,3,32],[1,2,10],[1,3,64]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=10,(0,2)=16,(0,3)=32,(0,1)=54,(1,3)=64]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=10 Succeeded, w=10\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(2)=1, Add (0,2)=16 Succeeded, w=26\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(3)=3, Add (0,3)=32 Succeeded, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=54 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=1, Add (1,3)=64 Failed, w=58\"],\"Answer\":58}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)\",\"Add (0,7)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (0,1)\",\"Add (0,2)\",\"Add (4,5)\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=6, w=6\",\"Add (0,7)=7, w=13\",\"Add (3,4)=12, w=25\",\"Add (4,6)=12, w=37\",\"Add (0,1)=17, w=54\",\"Add (0,2)=21, w=75\",\"Add (4,5)=24, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,7)=6 Succeeded, w=6\",\"Add (0,7)=7 Succeeded, w=13\",\"Add (3,4)=12 Succeeded, w=25\",\"Add (4,6)=12 Succeeded, w=37\",\"Add (4,7)=14 Failed, w=37\",\"Add (0,1)=17 Succeeded, w=54\",\"Add (0,2)=21 Succeeded, w=75\",\"Add (1,6)=24 Failed, w=75\",\"Add (4,5)=24 Succeeded, w=99\",\"Add (2,4)=25 Failed, w=99\",\"Add (0,4)=26 Failed, w=99\",\"Add (1,7)=32 Failed, w=99\",\"Add (6,7)=57 Failed, w=99\",\"Add (1,5)=62 Failed, w=99\",\"Add (2,3)=62 Failed, w=99\",\"Add (1,4)=67 Failed, w=99\",\"Add (2,6)=71 Failed, w=99\",\"Add (1,2)=81 Failed, w=99\",\"Add (3,5)=81 Failed, w=99\",\"Add (5,6)=83 Failed, w=99\",\"Add (0,3)=85 Failed, w=99\",\"Add (0,6)=85 Failed, w=99\",\"Add (0,5)=87 Failed, w=99\",\"Add (2,7)=89 Failed, w=99\",\"Add (3,6)=97 Failed, w=99\",\"Add (1,3)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=6,(0,7)=7,(3,4)=12,(4,6)=12,(4,7)=14,(0,1)=17,(0,2)=21,(1,6)=24,(4,5)=24,(2,4)=25,(0,4)=26,(1,7)=32,(6,7)=57,(1,5)=62,(2,3)=62,(1,4)=67,(2,6)=71,(1,2)=81,(3,5)=81,(5,6)=83,(0,3)=85,(0,6)=85,(0,5)=87,(2,7)=89,(3,6)=97,(1,3)=99]\",\"Process\":[\"Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Find(0)=0, Find(7)=3, Add (0,7)=7 Succeeded, w=13\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=25\",\"Find(4)=3, Find(6)=6, Add (4,6)=12 Succeeded, w=37\",\"Find(4)=3, Find(7)=3, Add (4,7)=14 Failed, w=37\",\"Find(0)=3, Find(1)=1, Add (0,1)=17 Succeeded, w=54\",\"Find(0)=3, Find(2)=2, Add (0,2)=21 Succeeded, w=75\",\"Find(1)=3, Find(6)=3, Add (1,6)=24 Failed, w=75\",\"Find(4)=3, Find(5)=5, Add (4,5)=24 Succeeded, w=99\",\"Find(2)=3, Find(4)=3, Add (2,4)=25 Failed, w=99\",\"Find(0)=3, Find(4)=3, Add (0,4)=26 Failed, w=99\",\"Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=99\",\"Find(6)=3, Find(7)=3, Add (6,7)=57 Failed, w=99\",\"Find(1)=3, Find(5)=3, Add (1,5)=62 Failed, w=99\",\"Find(2)=3, Find(3)=3, Add (2,3)=62 Failed, w=99\",\"Find(1)=3, Find(4)=3, Add (1,4)=67 Failed, w=99\",\"Find(2)=3, Find(6)=3, Add (2,6)=71 Failed, w=99\",\"Find(1)=3, Find(2)=3, Add (1,2)=81 Failed, w=99\",\"Find(3)=3, Find(5)=3, Add (3,5)=81 Failed, w=99\",\"Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=99\",\"Find(0)=3, Find(3)=3, Add (0,3)=85 Failed, w=99\",\"Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=99\",\"Find(0)=3, Find(5)=3, Add (0,5)=87 Failed, w=99\",\"Find(2)=3, Find(7)=3, Add (2,7)=89 Failed, w=99\",\"Find(3)=3, Find(6)=3, Add (3,6)=97 Failed, w=99\",\"Find(1)=3, Find(3)=3, Add (1,3)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,17],[0,2,21],[0,3,85],[0,4,26],[0,5,87],[0,6,85],[0,7,7],[1,2,81],[1,3,99],[1,4,67],[1,5,62],[1,6,24],[1,7,32],[2,3,62],[2,4,25],[2,6,71],[2,7,89],[3,4,12],[3,5,81],[3,6,97],[3,7,6],[4,5,24],[4,6,12],[4,7,14],[5,6,83],[6,7,57]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,7)=6,(0,7)=7,(3,4)=12,(4,6)=12,(4,7)=14,(0,1)=17,(0,2)=21,(1,6)=24,(4,5)=24,(2,4)=25,(0,4)=26,(1,7)=32,(6,7)=57,(1,5)=62,(2,3)=62,(1,4)=67,(2,6)=71,(1,2)=81,(3,5)=81,(5,6)=83,(0,3)=85,(0,6)=85,(0,5)=87,(2,7)=89,(3,6)=97,(1,3)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(7)=7, Add (3,7)=6 Succeeded, w=6\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6, 7: 3}, Find(0)=0, Find(7)=3, Add (0,7)=7 Succeeded, w=13\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 3}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=25\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(4)=3, Find(6)=6, Add (4,6)=12 Succeeded, w=37\",\"Parent: {0: 3, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=14 Failed, w=37\",\"Parent: {0: 3, 1: 3, 2: 2, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(1)=1, Add (0,1)=17 Succeeded, w=54\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(0)=3, Find(2)=2, Add (0,2)=21 Succeeded, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 5, 6: 3, 7: 3}, Find(1)=3, Find(6)=3, Add (1,6)=24 Failed, w=75\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(5)=5, Add (4,5)=24 Succeeded, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=25 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=26 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=32 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=57 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(5)=3, Add (1,5)=62 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(3)=3, Add (2,3)=62 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=67 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(6)=3, Add (2,6)=71 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(2)=3, Add (1,2)=81 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(5)=3, Add (3,5)=81 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(5)=3, Find(6)=3, Add (5,6)=83 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(3)=3, Add (0,3)=85 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(6)=3, Add (0,6)=85 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(5)=3, Add (0,5)=87 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=89 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(3)=3, Find(6)=3, Add (3,6)=97 Failed, w=99\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=99 Failed, w=99\"],\"Answer\":99}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=41, w=41\",\"Add (1,2)=50, w=91\",\"Add (0,2)=67, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=41 Succeeded, w=41\",\"Add (1,2)=50 Succeeded, w=91\",\"Add (0,2)=67 Succeeded, w=158\",\"Add (1,3)=97 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=41,(1,2)=50,(0,2)=67,(1,3)=97]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=41\",\"Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=91\",\"Find(0)=0, Find(2)=2, Add (0,2)=67 Succeeded, w=158\",\"Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,67],[1,2,50],[1,3,97],[2,3,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=41,(1,2)=50,(0,2)=67,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=41 Succeeded, w=41\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2}, Find(1)=1, Find(2)=2, Add (1,2)=50 Succeeded, w=91\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(0)=0, Find(2)=2, Add (0,2)=67 Succeeded, w=158\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2}, Find(1)=2, Find(3)=2, Add (1,3)=97 Failed, w=158\"],\"Answer\":158}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (3,4)\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3, w=3\",\"Add (0,3)=25, w=28\",\"Add (1,4)=36, w=64\",\"Add (3,4)=54, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=3 Succeeded, w=3\",\"Add (0,3)=25 Succeeded, w=28\",\"Add (1,4)=36 Succeeded, w=64\",\"Add (3,4)=54 Succeeded, w=118\",\"Add (1,2)=73 Failed, w=118\",\"Add (1,3)=77 Failed, w=118\",\"Add (0,4)=83 Failed, w=118\",\"Add (0,2)=90 Failed, w=118\",\"Add (2,4)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=25,(1,4)=36,(3,4)=54,(1,2)=73,(1,3)=77,(0,4)=83,(0,2)=90,(2,4)=100]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=28\",\"Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=64\",\"Find(3)=2, Find(4)=1, Add (3,4)=54 Succeeded, w=118\",\"Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=118\",\"Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=118\",\"Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=118\",\"Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=118\",\"Find(2)=2, Find(4)=2, Add (2,4)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,90],[0,3,25],[0,4,83],[1,2,73],[1,3,77],[1,4,36],[2,3,3],[2,4,100],[3,4,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=3,(0,3)=25,(1,4)=36,(3,4)=54,(1,2)=73,(1,3)=77,(0,4)=83,(0,2)=90,(2,4)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=3 Succeeded, w=3\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4}, Find(0)=0, Find(3)=2, Add (0,3)=25 Succeeded, w=28\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=36 Succeeded, w=64\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(3)=2, Find(4)=1, Add (3,4)=54 Succeeded, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(2)=2, Add (1,2)=73 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 1}, Find(1)=2, Find(3)=2, Add (1,3)=77 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=83 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=90 Failed, w=118\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=100 Failed, w=118\"],\"Answer\":118}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,3)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8, w=8\",\"Add (1,3)=21, w=29\",\"Add (0,3)=33, w=62\",\"Add (0,2)=57, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=8 Succeeded, w=8\",\"Add (1,3)=21 Succeeded, w=29\",\"Add (0,3)=33 Succeeded, w=62\",\"Add (0,2)=57 Succeeded, w=119\",\"Add (0,4)=66 Failed, w=119\",\"Add (0,1)=74 Failed, w=119\",\"Add (3,4)=93 Failed, w=119\",\"Add (1,2)=96 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(1,3)=21,(0,3)=33,(0,2)=57,(0,4)=66,(0,1)=74,(3,4)=93,(1,2)=96]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=29\",\"Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=62\",\"Find(0)=1, Find(2)=2, Add (0,2)=57 Succeeded, w=119\",\"Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=119\",\"Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=119\",\"Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=119\",\"Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,74],[0,2,57],[0,3,33],[0,4,66],[1,2,96],[1,3,21],[2,4,8],[3,4,93]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=8,(1,3)=21,(0,3)=33,(0,2)=57,(0,4)=66,(0,1)=74,(3,4)=93,(1,2)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 2}, Find(1)=1, Find(3)=3, Add (1,3)=21 Succeeded, w=29\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 2}, Find(0)=0, Find(3)=1, Add (0,3)=33 Succeeded, w=62\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 2}, Find(0)=1, Find(2)=2, Add (0,2)=57 Succeeded, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(4)=1, Add (0,4)=66 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=74 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=93 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=96 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (1,3)\",\"Add (0,2)\",\"Add (0,4)\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5, w=5\",\"Add (1,3)=6, w=11\",\"Add (0,2)=16, w=27\",\"Add (0,4)=47, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=5 Succeeded, w=5\",\"Add (1,3)=6 Succeeded, w=11\",\"Add (0,2)=16 Succeeded, w=27\",\"Add (0,4)=47 Succeeded, w=74\",\"Add (0,1)=71 Failed, w=74\",\"Add (1,2)=83 Failed, w=74\",\"Add (2,4)=85 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(1,3)=6,(0,2)=16,(0,4)=47,(0,1)=71,(1,2)=83,(2,4)=85]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=27\",\"Find(0)=0, Find(4)=3, Add (0,4)=47 Succeeded, w=74\",\"Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=74\",\"Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=74\",\"Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,71],[0,2,16],[0,4,47],[1,2,83],[1,3,6],[2,4,85],[3,4,5]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=5,(1,3)=6,(0,2)=16,(0,4)=47,(0,1)=71,(1,2)=83,(2,4)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=11\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 3}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=27\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(4)=3, Add (0,4)=47 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(0)=0, Find(1)=0, Add (0,1)=71 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3}, Find(1)=0, Find(2)=0, Add (1,2)=83 Failed, w=74\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=85 Failed, w=74\"],\"Answer\":74}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (0,3)\",\"Add (2,4)\",\"Add (0,1)\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=24, w=24\",\"Add (0,3)=36, w=60\",\"Add (2,4)=48, w=108\",\"Add (0,1)=59, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=24 Succeeded, w=24\",\"Add (0,3)=36 Succeeded, w=60\",\"Add (2,4)=48 Succeeded, w=108\",\"Add (1,2)=54 Failed, w=108\",\"Add (0,1)=59 Succeeded, w=167\",\"Add (1,3)=63 Failed, w=167\",\"Add (2,3)=66 Failed, w=167\",\"Add (3,4)=69 Failed, w=167\",\"Add (0,4)=83 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=24,(0,3)=36,(2,4)=48,(1,2)=54,(0,1)=59,(1,3)=63,(2,3)=66,(3,4)=69,(0,4)=83]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=24\",\"Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=60\",\"Find(2)=2, Find(4)=1, Add (2,4)=48 Succeeded, w=108\",\"Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=108\",\"Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=167\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=167\",\"Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=167\",\"Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=167\",\"Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,59],[0,3,36],[0,4,83],[1,2,54],[1,3,63],[1,4,24],[2,3,66],[2,4,48],[3,4,69]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=24,(0,3)=36,(2,4)=48,(1,2)=54,(0,1)=59,(1,3)=63,(2,3)=66,(3,4)=69,(0,4)=83]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 1}, Find(0)=0, Find(3)=3, Add (0,3)=36 Succeeded, w=60\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(2)=2, Find(4)=1, Add (2,4)=48 Succeeded, w=108\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 1}, Find(1)=1, Find(2)=1, Add (1,2)=54 Failed, w=108\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(0)=0, Find(1)=1, Add (0,1)=59 Succeeded, w=167\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=66 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=69 Failed, w=167\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=83 Failed, w=167\"],\"Answer\":167}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (2,3)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4, w=4\",\"Add (1,3)=11, w=15\",\"Add (0,1)=31, w=46\",\"Add (2,3)=73, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=4 Succeeded, w=4\",\"Add (1,3)=11 Succeeded, w=15\",\"Add (0,1)=31 Succeeded, w=46\",\"Add (3,4)=48 Failed, w=46\",\"Add (2,3)=73 Succeeded, w=119\",\"Add (1,2)=76 Failed, w=119\",\"Add (2,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(1,3)=11,(0,1)=31,(3,4)=48,(2,3)=73,(1,2)=76,(2,4)=94]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=15\",\"Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=46\",\"Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=46\",\"Find(2)=2, Find(3)=0, Add (2,3)=73 Succeeded, w=119\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=119\",\"Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,31],[0,4,4],[1,2,76],[1,3,11],[2,3,73],[2,4,94],[3,4,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=4,(1,3)=11,(0,1)=31,(3,4)=48,(2,3)=73,(1,2)=76,(2,4)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=11 Succeeded, w=15\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 1, 4: 0}, Find(0)=0, Find(1)=1, Add (0,1)=31 Succeeded, w=46\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=48 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=2, Find(3)=0, Add (2,3)=73 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=94 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":154}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)\",\"Add (3,4)\",\"Add (2,3)\",\"Add (0,1)\",\"Add (1,2)\"],\"Answer\":154}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3, w=3\",\"Add (3,4)=23, w=26\",\"Add (2,3)=39, w=65\",\"Add (0,1)=43, w=108\",\"Add (1,2)=46, w=154\"],\"Answer\":154}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,5)=3 Succeeded, w=3\",\"Add (3,4)=23 Succeeded, w=26\",\"Add (2,3)=39 Succeeded, w=65\",\"Add (0,1)=43 Succeeded, w=108\",\"Add (1,2)=46 Succeeded, w=154\",\"Add (1,3)=52 Failed, w=154\",\"Add (2,4)=52 Failed, w=154\",\"Add (0,2)=54 Failed, w=154\",\"Add (0,3)=58 Failed, w=154\",\"Add (0,5)=59 Failed, w=154\",\"Add (2,5)=78 Failed, w=154\",\"Add (4,5)=82 Failed, w=154\",\"Add (1,5)=88 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(3,4)=23,(2,3)=39,(0,1)=43,(1,2)=46,(1,3)=52,(2,4)=52,(0,2)=54,(0,3)=58,(0,5)=59,(2,5)=78,(4,5)=82,(1,5)=88]\",\"Process\":[\"Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=26\",\"Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=65\",\"Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=108\",\"Find(1)=0, Find(2)=3, Add (1,2)=46 Succeeded, w=154\",\"Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=154\",\"Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=154\",\"Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=154\",\"Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=154\",\"Find(0)=0, Find(5)=0, Add (0,5)=59 Failed, w=154\",\"Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=154\",\"Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=154\",\"Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,43],[0,2,54],[0,3,58],[0,5,59],[1,2,46],[1,3,52],[1,5,88],[2,3,39],[2,4,52],[2,5,78],[3,4,23],[3,5,3],[4,5,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,5)=3,(3,4)=23,(2,3)=39,(0,1)=43,(1,2)=46,(1,3)=52,(2,4)=52,(0,2)=54,(0,3)=58,(0,5)=59,(2,5)=78,(4,5)=82,(1,5)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3}, Find(3)=3, Find(4)=4, Add (3,4)=23 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 3, 5: 3}, Find(2)=2, Find(3)=3, Add (2,3)=39 Succeeded, w=65\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 3, 4: 3, 5: 3}, Find(0)=0, Find(1)=1, Add (0,1)=43 Succeeded, w=108\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 3}, Find(1)=0, Find(2)=3, Add (1,2)=46 Succeeded, w=154\",\"Parent: {0: 0, 1: 0, 2: 3, 3: 0, 4: 3, 5: 3}, Find(1)=0, Find(3)=0, Add (1,3)=52 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(4)=0, Add (2,4)=52 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(2)=0, Add (0,2)=54 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(3)=0, Add (0,3)=58 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=59 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=78 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=82 Failed, w=154\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=88 Failed, w=154\"],\"Answer\":154}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,7)\",\"Add (1,2)\",\"Add (4,6)\",\"Add (1,3)\",\"Add (0,6)\",\"Add (1,7)\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8, w=8\",\"Add (4,7)=8, w=16\",\"Add (1,2)=13, w=29\",\"Add (4,6)=15, w=44\",\"Add (1,3)=21, w=65\",\"Add (0,6)=25, w=90\",\"Add (1,7)=25, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=8 Succeeded, w=8\",\"Add (4,7)=8 Succeeded, w=16\",\"Add (1,2)=13 Succeeded, w=29\",\"Add (4,6)=15 Succeeded, w=44\",\"Add (1,3)=21 Succeeded, w=65\",\"Add (0,6)=25 Succeeded, w=90\",\"Add (1,7)=25 Succeeded, w=115\",\"Add (1,5)=27 Failed, w=115\",\"Add (5,7)=30 Failed, w=115\",\"Add (5,6)=33 Failed, w=115\",\"Add (3,6)=38 Failed, w=115\",\"Add (0,4)=43 Failed, w=115\",\"Add (1,4)=44 Failed, w=115\",\"Add (0,7)=49 Failed, w=115\",\"Add (0,5)=52 Failed, w=115\",\"Add (6,7)=52 Failed, w=115\",\"Add (3,4)=54 Failed, w=115\",\"Add (0,1)=56 Failed, w=115\",\"Add (4,5)=58 Failed, w=115\",\"Add (0,2)=67 Failed, w=115\",\"Add (2,3)=75 Failed, w=115\",\"Add (2,6)=79 Failed, w=115\",\"Add (1,6)=84 Failed, w=115\",\"Add (2,7)=84 Failed, w=115\",\"Add (2,4)=87 Failed, w=115\",\"Add (3,7)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(4,7)=8,(1,2)=13,(4,6)=15,(1,3)=21,(0,6)=25,(1,7)=25,(1,5)=27,(5,7)=30,(5,6)=33,(3,6)=38,(0,4)=43,(1,4)=44,(0,7)=49,(0,5)=52,(6,7)=52,(3,4)=54,(0,1)=56,(4,5)=58,(0,2)=67,(2,3)=75,(2,6)=79,(1,6)=84,(2,7)=84,(2,4)=87,(3,7)=100]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Find(4)=4, Find(7)=7, Add (4,7)=8 Succeeded, w=16\",\"Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=29\",\"Find(4)=4, Find(6)=6, Add (4,6)=15 Succeeded, w=44\",\"Find(1)=2, Find(3)=3, Add (1,3)=21 Succeeded, w=65\",\"Find(0)=0, Find(6)=4, Add (0,6)=25 Succeeded, w=90\",\"Find(1)=2, Find(7)=4, Add (1,7)=25 Succeeded, w=115\",\"Find(1)=2, Find(5)=2, Add (1,5)=27 Failed, w=115\",\"Find(5)=2, Find(7)=2, Add (5,7)=30 Failed, w=115\",\"Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=115\",\"Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=115\",\"Find(0)=2, Find(4)=2, Add (0,4)=43 Failed, w=115\",\"Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=115\",\"Find(0)=2, Find(7)=2, Add (0,7)=49 Failed, w=115\",\"Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=115\",\"Find(6)=2, Find(7)=2, Add (6,7)=52 Failed, w=115\",\"Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=115\",\"Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=115\",\"Find(4)=2, Find(5)=2, Add (4,5)=58 Failed, w=115\",\"Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=115\",\"Find(2)=2, Find(3)=2, Add (2,3)=75 Failed, w=115\",\"Find(2)=2, Find(6)=2, Add (2,6)=79 Failed, w=115\",\"Find(1)=2, Find(6)=2, Add (1,6)=84 Failed, w=115\",\"Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=115\",\"Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=115\",\"Find(3)=2, Find(7)=2, Add (3,7)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,56],[0,2,67],[0,4,43],[0,5,52],[0,6,25],[0,7,49],[1,2,13],[1,3,21],[1,4,44],[1,5,27],[1,6,84],[1,7,25],[2,3,75],[2,4,87],[2,5,8],[2,6,79],[2,7,84],[3,4,54],[3,6,38],[3,7,100],[4,5,58],[4,6,15],[4,7,8],[5,6,33],[5,7,30],[6,7,52]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=8,(4,7)=8,(1,2)=13,(4,6)=15,(1,3)=21,(0,6)=25,(1,7)=25,(1,5)=27,(5,7)=30,(5,6)=33,(3,6)=38,(0,4)=43,(1,4)=44,(0,7)=49,(0,5)=52,(6,7)=52,(3,4)=54,(0,1)=56,(4,5)=58,(0,2)=67,(2,3)=75,(2,6)=79,(1,6)=84,(2,7)=84,(2,4)=87,(3,7)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 7}, Find(2)=2, Find(5)=5, Add (2,5)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(4)=4, Find(7)=7, Add (4,7)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6, 7: 4}, Find(1)=1, Find(2)=2, Add (1,2)=13 Succeeded, w=29\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 4, 5: 2, 6: 4, 7: 4}, Find(4)=4, Find(6)=6, Add (4,6)=15 Succeeded, w=44\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4, 7: 4}, Find(1)=2, Find(3)=3, Add (1,3)=21 Succeeded, w=65\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 4, 5: 2, 6: 4, 7: 4}, Find(0)=0, Find(6)=4, Add (0,6)=25 Succeeded, w=90\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 4}, Find(1)=2, Find(7)=4, Add (1,7)=25 Succeeded, w=115\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 4}, Find(1)=2, Find(5)=2, Add (1,5)=27 Failed, w=115\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 4, 7: 2}, Find(5)=2, Find(7)=2, Add (5,7)=30 Failed, w=115\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(5)=2, Find(6)=2, Add (5,6)=33 Failed, w=115\",\"Parent: {0: 4, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(6)=2, Add (3,6)=38 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(4)=2, Add (0,4)=43 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(4)=2, Add (1,4)=44 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(7)=2, Add (0,7)=49 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(5)=2, Add (0,5)=52 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(6)=2, Find(7)=2, Add (6,7)=52 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(4)=2, Add (3,4)=54 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(1)=2, Add (0,1)=56 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(4)=2, Find(5)=2, Add (4,5)=58 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(0)=2, Find(2)=2, Add (0,2)=67 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(3)=2, Add (2,3)=75 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(6)=2, Add (2,6)=79 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(1)=2, Find(6)=2, Add (1,6)=84 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(7)=2, Add (2,7)=84 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(2)=2, Find(4)=2, Add (2,4)=87 Failed, w=115\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2}, Find(3)=2, Find(7)=2, Add (3,7)=100 Failed, w=115\"],\"Answer\":115}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (5,6)\",\"Add (2,5)\",\"Add (1,6)\",\"Add (0,4)\",\"Add (4,5)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6, w=6\",\"Add (5,6)=6, w=12\",\"Add (2,5)=15, w=27\",\"Add (1,6)=22, w=49\",\"Add (0,4)=34, w=83\",\"Add (4,5)=45, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=6 Succeeded, w=6\",\"Add (5,6)=6 Succeeded, w=12\",\"Add (2,5)=15 Succeeded, w=27\",\"Add (1,6)=22 Succeeded, w=49\",\"Add (0,4)=34 Succeeded, w=83\",\"Add (4,5)=45 Succeeded, w=128\",\"Add (0,2)=49 Failed, w=128\",\"Add (0,5)=56 Failed, w=128\",\"Add (2,4)=59 Failed, w=128\",\"Add (2,3)=68 Failed, w=128\",\"Add (3,5)=75 Failed, w=128\",\"Add (0,1)=83 Failed, w=128\",\"Add (1,4)=89 Failed, w=128\",\"Add (0,3)=96 Failed, w=128\",\"Add (3,6)=96 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(5,6)=6,(2,5)=15,(1,6)=22,(0,4)=34,(4,5)=45,(0,2)=49,(0,5)=56,(2,4)=59,(2,3)=68,(3,5)=75,(0,1)=83,(1,4)=89,(0,3)=96,(3,6)=96]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=12\",\"Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=27\",\"Find(1)=1, Find(6)=5, Add (1,6)=22 Succeeded, w=49\",\"Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=83\",\"Find(4)=0, Find(5)=1, Add (4,5)=45 Succeeded, w=128\",\"Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=128\",\"Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=128\",\"Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=128\",\"Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=128\",\"Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=128\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=128\",\"Find(1)=1, Find(4)=1, Add (1,4)=89 Failed, w=128\",\"Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=128\",\"Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,83],[0,2,49],[0,3,96],[0,4,34],[0,5,56],[1,3,6],[1,4,89],[1,6,22],[2,3,68],[2,4,59],[2,5,15],[3,5,75],[3,6,96],[4,5,45],[5,6,6]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=6,(5,6)=6,(2,5)=15,(1,6)=22,(0,4)=34,(4,5)=45,(0,2)=49,(0,5)=56,(2,4)=59,(2,3)=68,(3,5)=75,(0,1)=83,(1,4)=89,(0,3)=96,(3,6)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=6 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 5}, Find(5)=5, Find(6)=6, Add (5,6)=6 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 4, 5: 5, 6: 5}, Find(2)=2, Find(5)=5, Add (2,5)=15 Succeeded, w=27\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 4, 5: 1, 6: 5}, Find(1)=1, Find(6)=5, Add (1,6)=22 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 5, 3: 1, 4: 0, 5: 1, 6: 5}, Find(0)=0, Find(4)=4, Add (0,4)=34 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 5, 3: 1, 4: 0, 5: 1, 6: 5}, Find(4)=0, Find(5)=1, Add (4,5)=45 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(0)=1, Find(2)=1, Add (0,2)=49 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 5}, Find(0)=1, Find(5)=1, Add (0,5)=56 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(4)=1, Add (2,4)=59 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(2)=1, Find(3)=1, Add (2,3)=68 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(3)=1, Find(5)=1, Add (3,5)=75 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(1)=1, Find(4)=1, Add (1,4)=89 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 5}, Find(0)=1, Find(3)=1, Add (0,3)=96 Failed, w=128\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=96 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,85],[0,3,94],[2,3,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,3,94],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":253}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,3,94],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\",\"Add (0,3)\"],\"Answer\":253}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,3,94],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=74, w=74\",\"Add (0,1)=85, w=159\",\"Add (0,3)=94, w=253\"],\"Answer\":253}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,3,94],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=74 Succeeded, w=74\",\"Add (0,1)=85 Succeeded, w=159\",\"Add (0,3)=94 Succeeded, w=253\"],\"Answer\":253}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,3,94],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=74,(0,1)=85,(0,3)=94]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=74 Succeeded, w=74\",\"Find(0)=0, Find(1)=1, Add (0,1)=85 Succeeded, w=159\",\"Find(0)=0, Find(3)=2, Add (0,3)=94 Succeeded, w=253\"],\"Answer\":253}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,85],[0,3,94],[2,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=74,(0,1)=85,(0,3)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=74 Succeeded, w=74\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=85 Succeeded, w=159\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2}, Find(0)=0, Find(3)=2, Add (0,3)=94 Succeeded, w=253\"],\"Answer\":253}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,1)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1, w=1\",\"Add (0,1)=8, w=9\",\"Add (1,4)=13, w=22\",\"Add (1,3)=21, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=1 Succeeded, w=1\",\"Add (0,1)=8 Succeeded, w=9\",\"Add (1,2)=10 Failed, w=9\",\"Add (1,4)=13 Succeeded, w=22\",\"Add (1,3)=21 Succeeded, w=43\",\"Add (0,4)=61 Failed, w=43\",\"Add (2,3)=70 Failed, w=43\",\"Add (3,4)=82 Failed, w=43\",\"Add (0,3)=97 Failed, w=43\",\"Add (2,4)=99 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=8,(1,2)=10,(1,4)=13,(1,3)=21,(0,4)=61,(2,3)=70,(3,4)=82,(0,3)=97,(2,4)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=9\",\"Find(1)=0, Find(2)=0, Add (1,2)=10 Failed, w=9\",\"Find(1)=0, Find(4)=4, Add (1,4)=13 Succeeded, w=22\",\"Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=43\",\"Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=43\",\"Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=43\",\"Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=43\",\"Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=43\",\"Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,8],[0,2,1],[0,3,97],[0,4,61],[1,2,10],[1,3,21],[1,4,13],[2,3,70],[2,4,99],[3,4,82]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=1,(0,1)=8,(1,2)=10,(1,4)=13,(1,3)=21,(0,4)=61,(2,3)=70,(3,4)=82,(0,3)=97,(2,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=8 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4}, Find(1)=0, Find(2)=0, Add (1,2)=10 Failed, w=9\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0}, Find(1)=0, Find(4)=4, Add (1,4)=13 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=3, Add (1,3)=21 Succeeded, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=61 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=70 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=0, Add (3,4)=82 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(3)=0, Add (0,3)=97 Failed, w=43\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=99 Failed, w=43\"],\"Answer\":43}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16, w=16\",\"Add (1,3)=25, w=41\",\"Add (0,3)=26, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=16 Succeeded, w=16\",\"Add (1,3)=25 Succeeded, w=41\",\"Add (0,3)=26 Succeeded, w=67\",\"Add (0,2)=36 Failed, w=67\",\"Add (0,1)=93 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(1,3)=25,(0,3)=26,(0,2)=36,(0,1)=93]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=41\",\"Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=67\",\"Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=67\",\"Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,93],[0,2,36],[0,3,26],[1,2,16],[1,3,25]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=16,(1,3)=25,(0,3)=26,(0,2)=36,(0,1)=93]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=25 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=26 Succeeded, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=36 Failed, w=67\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(1)=1, Add (0,1)=93 Failed, w=67\"],\"Answer\":67}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (3,7)\",\"Add (0,7)\",\"Add (1,4)\",\"Add (0,6)\",\"Add (2,3)\",\"Add (0,5)\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13, w=13\",\"Add (3,7)=17, w=30\",\"Add (0,7)=23, w=53\",\"Add (1,4)=23, w=76\",\"Add (0,6)=31, w=107\",\"Add (2,3)=41, w=148\",\"Add (0,5)=44, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=13 Succeeded, w=13\",\"Add (3,7)=17 Succeeded, w=30\",\"Add (0,7)=23 Succeeded, w=53\",\"Add (1,4)=23 Succeeded, w=76\",\"Add (0,6)=31 Succeeded, w=107\",\"Add (1,7)=36 Failed, w=107\",\"Add (2,3)=41 Succeeded, w=148\",\"Add (6,7)=41 Failed, w=148\",\"Add (0,5)=44 Succeeded, w=192\",\"Add (0,3)=45 Failed, w=192\",\"Add (4,5)=48 Failed, w=192\",\"Add (1,2)=56 Failed, w=192\",\"Add (2,4)=61 Failed, w=192\",\"Add (5,6)=64 Failed, w=192\",\"Add (1,6)=75 Failed, w=192\",\"Add (3,6)=91 Failed, w=192\",\"Add (4,6)=97 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(3,7)=17,(0,7)=23,(1,4)=23,(0,6)=31,(1,7)=36,(2,3)=41,(6,7)=41,(0,5)=44,(0,3)=45,(4,5)=48,(1,2)=56,(2,4)=61,(5,6)=64,(1,6)=75,(3,6)=91,(4,6)=97]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Find(3)=1, Find(7)=7, Add (3,7)=17 Succeeded, w=30\",\"Find(0)=0, Find(7)=1, Add (0,7)=23 Succeeded, w=53\",\"Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=76\",\"Find(0)=1, Find(6)=6, Add (0,6)=31 Succeeded, w=107\",\"Find(1)=1, Find(7)=1, Add (1,7)=36 Failed, w=107\",\"Find(2)=2, Find(3)=1, Add (2,3)=41 Succeeded, w=148\",\"Find(6)=1, Find(7)=1, Add (6,7)=41 Failed, w=148\",\"Find(0)=1, Find(5)=5, Add (0,5)=44 Succeeded, w=192\",\"Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=192\",\"Find(4)=1, Find(5)=1, Add (4,5)=48 Failed, w=192\",\"Find(1)=1, Find(2)=1, Add (1,2)=56 Failed, w=192\",\"Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=192\",\"Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=192\",\"Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=192\",\"Find(3)=1, Find(6)=1, Add (3,6)=91 Failed, w=192\",\"Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,3,45],[0,5,44],[0,6,31],[0,7,23],[1,2,56],[1,3,13],[1,4,23],[1,6,75],[1,7,36],[2,3,41],[2,4,61],[3,6,91],[3,7,17],[4,5,48],[4,6,97],[5,6,64],[6,7,41]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=13,(3,7)=17,(0,7)=23,(1,4)=23,(0,6)=31,(1,7)=36,(2,3)=41,(6,7)=41,(0,5)=44,(0,3)=45,(4,5)=48,(1,2)=56,(2,4)=61,(5,6)=64,(1,6)=75,(3,6)=91,(4,6)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=13 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(3)=1, Find(7)=7, Add (3,7)=17 Succeeded, w=30\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 1}, Find(0)=0, Find(7)=1, Add (0,7)=23 Succeeded, w=53\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(4)=4, Add (1,4)=23 Succeeded, w=76\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(0)=1, Find(6)=6, Add (0,6)=31 Succeeded, w=107\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=36 Failed, w=107\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(2)=2, Find(3)=1, Add (2,3)=41 Succeeded, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=41 Failed, w=148\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=5, Add (0,5)=44 Succeeded, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=45 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=48 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=56 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=61 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(6)=1, Add (5,6)=64 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=75 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=91 Failed, w=192\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=97 Failed, w=192\"],\"Answer\":192}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (0,2)\",\"Add (0,1)\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=26, w=26\",\"Add (0,2)=33, w=59\",\"Add (0,1)=37, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=26 Succeeded, w=26\",\"Add (0,2)=33 Succeeded, w=59\",\"Add (0,1)=37 Succeeded, w=96\",\"Add (1,3)=41 Failed, w=96\",\"Add (1,2)=42 Failed, w=96\",\"Add (2,3)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=26,(0,2)=33,(0,1)=37,(1,3)=41,(1,2)=42,(2,3)=95]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=26\",\"Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=59\",\"Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=96\",\"Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=96\",\"Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=96\",\"Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,37],[0,2,33],[0,3,26],[1,2,42],[1,3,41],[2,3,95]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=26,(0,2)=33,(0,1)=37,(1,3)=41,(1,2)=42,(2,3)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=26 Succeeded, w=26\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=33 Succeeded, w=59\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=37 Succeeded, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=41 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=42 Failed, w=96\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=95 Failed, w=96\"],\"Answer\":96}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (2,3)\",\"Add (1,2)\",\"Add (3,4)\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16, w=16\",\"Add (2,3)=53, w=69\",\"Add (1,2)=63, w=132\",\"Add (3,4)=66, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=16 Succeeded, w=16\",\"Add (2,3)=53 Succeeded, w=69\",\"Add (1,2)=63 Succeeded, w=132\",\"Add (3,4)=66 Succeeded, w=198\",\"Add (0,1)=81 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(2,3)=53,(1,2)=63,(3,4)=66,(0,1)=81]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Find(2)=0, Find(3)=3, Add (2,3)=53 Succeeded, w=69\",\"Find(1)=1, Find(2)=0, Add (1,2)=63 Succeeded, w=132\",\"Find(3)=0, Find(4)=4, Add (3,4)=66 Succeeded, w=198\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,81],[0,2,16],[1,2,63],[2,3,53],[3,4,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=16,(2,3)=53,(1,2)=63,(3,4)=66,(0,1)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4}, Find(2)=0, Find(3)=3, Add (2,3)=53 Succeeded, w=69\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4}, Find(1)=1, Find(2)=0, Add (1,2)=63 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=66 Succeeded, w=198\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,3)\",\"Add (0,2)\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=56, w=56\",\"Add (1,3)=74, w=130\",\"Add (0,2)=82, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=56 Succeeded, w=56\",\"Add (1,3)=74 Succeeded, w=130\",\"Add (0,1)=81 Failed, w=130\",\"Add (0,2)=82 Succeeded, w=212\",\"Add (1,2)=88 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=56,(1,3)=74,(0,1)=81,(0,2)=82,(1,2)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=56\",\"Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=130\",\"Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=130\",\"Find(0)=0, Find(2)=2, Add (0,2)=82 Succeeded, w=212\",\"Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,81],[0,2,82],[0,3,56],[1,2,88],[1,3,74]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=56,(1,3)=74,(0,1)=81,(0,2)=82,(1,2)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=56 Succeeded, w=56\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=130\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=81 Failed, w=130\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=2, Add (0,2)=82 Succeeded, w=212\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=88 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (1,3)\",\"Add (0,3)\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11, w=11\",\"Add (3,4)=12, w=23\",\"Add (1,3)=31, w=54\",\"Add (0,3)=89, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=11 Succeeded, w=11\",\"Add (3,4)=12 Succeeded, w=23\",\"Add (1,3)=31 Succeeded, w=54\",\"Add (2,4)=42 Failed, w=54\",\"Add (0,3)=89 Succeeded, w=143\",\"Add (0,2)=95 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(3,4)=12,(1,3)=31,(2,4)=42,(0,3)=89,(0,2)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=54\",\"Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=54\",\"Find(0)=0, Find(3)=1, Add (0,3)=89 Succeeded, w=143\",\"Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,95],[0,3,89],[1,2,11],[1,3,31],[2,4,42],[3,4,12]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=11,(3,4)=12,(1,3)=31,(2,4)=42,(0,3)=89,(0,2)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=11 Succeeded, w=11\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3}, Find(3)=3, Find(4)=4, Add (3,4)=12 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3}, Find(1)=1, Find(3)=3, Add (1,3)=31 Succeeded, w=54\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1}, Find(2)=1, Find(4)=1, Add (2,4)=42 Failed, w=54\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=0, Find(3)=1, Add (0,3)=89 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(2)=1, Add (0,2)=95 Failed, w=143\"],\"Answer\":143}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0, w=0\",\"Add (0,4)=14, w=14\",\"Add (1,4)=23, w=37\",\"Add (1,3)=67, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=0 Succeeded, w=0\",\"Add (0,4)=14 Succeeded, w=14\",\"Add (1,4)=23 Succeeded, w=37\",\"Add (1,3)=67 Succeeded, w=104\",\"Add (3,4)=72 Failed, w=104\",\"Add (0,1)=95 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=14,(1,4)=23,(1,3)=67,(3,4)=72,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=37\",\"Find(1)=1, Find(3)=3, Add (1,3)=67 Succeeded, w=104\",\"Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=104\",\"Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,95],[0,4,14],[1,2,0],[1,3,67],[1,4,23],[3,4,72]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=0,(0,4)=14,(1,4)=23,(1,3)=67,(3,4)=72,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=14 Succeeded, w=14\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=23 Succeeded, w=37\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=67 Succeeded, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(3)=1, Find(4)=1, Add (3,4)=72 Failed, w=104\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1}, Find(0)=1, Find(1)=1, Add (0,1)=95 Failed, w=104\"],\"Answer\":104}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (5,6)\",\"Add (4,6)\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (2,3)=5, w=10\",\"Add (0,5)=20, w=30\",\"Add (1,4)=20, w=50\",\"Add (5,6)=38, w=88\",\"Add (4,6)=45, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (2,3)=5 Succeeded, w=10\",\"Add (0,5)=20 Succeeded, w=30\",\"Add (1,4)=20 Succeeded, w=50\",\"Add (2,5)=30 Failed, w=50\",\"Add (5,6)=38 Succeeded, w=88\",\"Add (4,6)=45 Succeeded, w=133\",\"Add (0,2)=46 Failed, w=133\",\"Add (3,6)=73 Failed, w=133\",\"Add (0,1)=76 Failed, w=133\",\"Add (1,6)=77 Failed, w=133\",\"Add (2,4)=90 Failed, w=133\",\"Add (4,5)=94 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,3)=5,(0,5)=20,(1,4)=20,(2,5)=30,(5,6)=38,(4,6)=45,(0,2)=46,(3,6)=73,(0,1)=76,(1,6)=77,(2,4)=90,(4,5)=94]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=10\",\"Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=30\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=50\",\"Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=50\",\"Find(5)=0, Find(6)=6, Add (5,6)=38 Succeeded, w=88\",\"Find(4)=1, Find(6)=0, Add (4,6)=45 Succeeded, w=133\",\"Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=133\",\"Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=133\",\"Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=133\",\"Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=133\",\"Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=133\",\"Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,76],[0,2,46],[0,3,5],[0,5,20],[1,4,20],[1,6,77],[2,3,5],[2,4,90],[2,5,30],[3,6,73],[4,5,94],[4,6,45],[5,6,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(2,3)=5,(0,5)=20,(1,4)=20,(2,5)=30,(5,6)=38,(4,6)=45,(0,2)=46,(3,6)=73,(0,1)=76,(1,6)=77,(2,4)=90,(4,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 6}, Find(2)=2, Find(3)=0, Add (2,3)=5 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 6}, Find(0)=0, Find(5)=5, Add (0,5)=20 Succeeded, w=30\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 6}, Find(2)=0, Find(5)=0, Add (2,5)=30 Failed, w=50\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(5)=0, Find(6)=6, Add (5,6)=38 Succeeded, w=88\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 0, 4: 1, 5: 0, 6: 0}, Find(4)=1, Find(6)=0, Add (4,6)=45 Succeeded, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=1, Find(2)=1, Add (0,2)=46 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=73 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=76 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=77 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=90 Failed, w=133\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=94 Failed, w=133\"],\"Answer\":133}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (1,3)\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2, w=2\",\"Add (1,4)=20, w=22\",\"Add (2,4)=26, w=48\",\"Add (1,3)=42, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=2 Succeeded, w=2\",\"Add (1,4)=20 Succeeded, w=22\",\"Add (2,4)=26 Succeeded, w=48\",\"Add (0,1)=34 Failed, w=48\",\"Add (1,3)=42 Succeeded, w=90\",\"Add (2,3)=42 Failed, w=90\",\"Add (0,4)=90 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=20,(2,4)=26,(0,1)=34,(1,3)=42,(2,3)=42,(0,4)=90]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=22\",\"Find(2)=0, Find(4)=1, Add (2,4)=26 Succeeded, w=48\",\"Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=48\",\"Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=90\",\"Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=90\",\"Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,34],[0,2,2],[0,4,90],[1,3,42],[1,4,20],[2,3,42],[2,4,26]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=2,(1,4)=20,(2,4)=26,(0,1)=34,(1,3)=42,(2,3)=42,(0,4)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4}, Find(0)=0, Find(2)=2, Add (0,2)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 1}, Find(1)=1, Find(4)=4, Add (1,4)=20 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(2)=0, Find(4)=1, Add (2,4)=26 Succeeded, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 1}, Find(0)=0, Find(1)=0, Add (0,1)=34 Failed, w=48\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(1)=0, Find(3)=3, Add (1,3)=42 Succeeded, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 1}, Find(2)=0, Find(3)=0, Add (2,3)=42 Failed, w=90\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=90 Failed, w=90\"],\"Answer\":90}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (0,2)\",\"Add (3,4)\",\"Add (5,7)\",\"Add (1,7)\",\"Add (1,6)\",\"Add (2,6)\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (0,2)=18, w=23\",\"Add (3,4)=22, w=45\",\"Add (5,7)=22, w=67\",\"Add (1,7)=37, w=104\",\"Add (1,6)=39, w=143\",\"Add (2,6)=39, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (0,2)=18 Succeeded, w=23\",\"Add (3,4)=22 Succeeded, w=45\",\"Add (5,7)=22 Succeeded, w=67\",\"Add (1,7)=37 Succeeded, w=104\",\"Add (1,6)=39 Succeeded, w=143\",\"Add (2,6)=39 Succeeded, w=182\",\"Add (4,5)=43 Failed, w=182\",\"Add (2,4)=67 Failed, w=182\",\"Add (0,4)=76 Failed, w=182\",\"Add (0,3)=81 Failed, w=182\",\"Add (0,1)=83 Failed, w=182\",\"Add (3,6)=99 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,2)=18,(3,4)=22,(5,7)=22,(1,7)=37,(1,6)=39,(2,6)=39,(4,5)=43,(2,4)=67,(0,4)=76,(0,3)=81,(0,1)=83,(3,6)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=23\",\"Find(3)=1, Find(4)=4, Add (3,4)=22 Succeeded, w=45\",\"Find(5)=5, Find(7)=7, Add (5,7)=22 Succeeded, w=67\",\"Find(1)=1, Find(7)=5, Add (1,7)=37 Succeeded, w=104\",\"Find(1)=1, Find(6)=6, Add (1,6)=39 Succeeded, w=143\",\"Find(2)=0, Find(6)=1, Add (2,6)=39 Succeeded, w=182\",\"Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=182\",\"Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=182\",\"Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=182\",\"Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=182\",\"Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=182\",\"Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,83],[0,2,18],[0,3,81],[0,4,76],[1,3,5],[1,6,39],[1,7,37],[2,4,67],[2,6,39],[3,4,22],[3,6,99],[4,5,43],[5,7,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(0,2)=18,(3,4)=22,(5,7)=22,(1,7)=37,(1,6)=39,(2,6)=39,(4,5)=43,(2,4)=67,(0,4)=76,(0,3)=81,(0,1)=83,(3,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=18 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 6, 7: 7}, Find(3)=1, Find(4)=4, Add (3,4)=22 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 5, 6: 6, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=22 Succeeded, w=67\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 6, 7: 5}, Find(1)=1, Find(7)=5, Add (1,7)=37 Succeeded, w=104\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(1)=1, Find(6)=6, Add (1,6)=39 Succeeded, w=143\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=0, Find(6)=1, Add (2,6)=39 Succeeded, w=182\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(4)=1, Find(5)=1, Add (4,5)=43 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(2)=1, Find(4)=1, Add (2,4)=67 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(4)=1, Add (0,4)=76 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(3)=1, Add (0,3)=81 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(0)=1, Find(1)=1, Add (0,1)=83 Failed, w=182\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 5}, Find(3)=1, Find(6)=1, Add (3,6)=99 Failed, w=182\"],\"Answer\":182}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,6)\",\"Add (2,3)\",\"Add (0,5)\",\"Add (1,5)\",\"Add (4,5)\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1, w=1\",\"Add (3,6)=2, w=3\",\"Add (2,3)=4, w=7\",\"Add (0,5)=13, w=20\",\"Add (1,5)=16, w=36\",\"Add (4,5)=16, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=1 Succeeded, w=1\",\"Add (3,6)=2 Succeeded, w=3\",\"Add (2,3)=4 Succeeded, w=7\",\"Add (0,5)=13 Succeeded, w=20\",\"Add (1,5)=16 Succeeded, w=36\",\"Add (4,5)=16 Succeeded, w=52\",\"Add (1,3)=18 Failed, w=52\",\"Add (0,4)=29 Failed, w=52\",\"Add (2,4)=30 Failed, w=52\",\"Add (4,6)=73 Failed, w=52\",\"Add (2,6)=77 Failed, w=52\",\"Add (0,1)=79 Failed, w=52\",\"Add (5,6)=83 Failed, w=52\",\"Add (0,2)=87 Failed, w=52\",\"Add (3,4)=98 Failed, w=52\",\"Add (3,5)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(3,6)=2,(2,3)=4,(0,5)=13,(1,5)=16,(4,5)=16,(1,3)=18,(0,4)=29,(2,4)=30,(4,6)=73,(2,6)=77,(0,1)=79,(5,6)=83,(0,2)=87,(3,4)=98,(3,5)=100]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Find(3)=0, Find(6)=6, Add (3,6)=2 Succeeded, w=3\",\"Find(2)=2, Find(3)=0, Add (2,3)=4 Succeeded, w=7\",\"Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=20\",\"Find(1)=1, Find(5)=0, Add (1,5)=16 Succeeded, w=36\",\"Find(4)=4, Find(5)=0, Add (4,5)=16 Succeeded, w=52\",\"Find(1)=0, Find(3)=0, Add (1,3)=18 Failed, w=52\",\"Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=52\",\"Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=52\",\"Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=52\",\"Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=52\",\"Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=52\",\"Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=52\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=52\",\"Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=52\",\"Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,79],[0,2,87],[0,3,1],[0,4,29],[0,5,13],[1,3,18],[1,5,16],[2,3,4],[2,4,30],[2,6,77],[3,4,98],[3,5,100],[3,6,2],[4,5,16],[4,6,73],[5,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=1,(3,6)=2,(2,3)=4,(0,5)=13,(1,5)=16,(4,5)=16,(1,3)=18,(0,4)=29,(2,4)=30,(4,6)=73,(2,6)=77,(0,1)=79,(5,6)=83,(0,2)=87,(3,4)=98,(3,5)=100]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(3)=3, Add (0,3)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5, 6: 0}, Find(3)=0, Find(6)=6, Add (3,6)=2 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 5, 6: 0}, Find(2)=2, Find(3)=0, Add (2,3)=4 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 4, 5: 0, 6: 0}, Find(1)=1, Find(5)=0, Add (1,5)=16 Succeeded, w=36\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=4, Find(5)=0, Add (4,5)=16 Succeeded, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=18 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(4)=0, Add (0,4)=29 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(4)=0, Add (2,4)=30 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=73 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=77 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=79 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=83 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=98 Failed, w=52\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=100 Failed, w=52\"],\"Answer\":52}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (3,4)\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5, w=5\",\"Add (0,3)=13, w=18\",\"Add (0,1)=22, w=40\",\"Add (3,4)=35, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=5 Succeeded, w=5\",\"Add (0,3)=13 Succeeded, w=18\",\"Add (0,1)=22 Succeeded, w=40\",\"Add (3,4)=35 Succeeded, w=75\",\"Add (0,2)=51 Failed, w=75\",\"Add (1,3)=56 Failed, w=75\",\"Add (0,4)=59 Failed, w=75\",\"Add (2,4)=82 Failed, w=75\",\"Add (2,3)=91 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,3)=13,(0,1)=22,(3,4)=35,(0,2)=51,(1,3)=56,(0,4)=59,(2,4)=82,(2,3)=91]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=18\",\"Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=40\",\"Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=75\",\"Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=75\",\"Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=75\",\"Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=75\",\"Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=75\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,22],[0,2,51],[0,3,13],[0,4,59],[1,2,5],[1,3,56],[2,3,91],[2,4,82],[3,4,35]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=5,(0,3)=13,(0,1)=22,(3,4)=35,(0,2)=51,(1,3)=56,(0,4)=59,(2,4)=82,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4}, Find(1)=1, Find(2)=2, Add (1,2)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(3)=3, Add (0,3)=13 Succeeded, w=18\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=22 Succeeded, w=40\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0}, Find(3)=0, Find(4)=4, Add (3,4)=35 Succeeded, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(2)=0, Add (0,2)=51 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(1)=0, Find(3)=0, Add (1,3)=56 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(0)=0, Find(4)=0, Add (0,4)=59 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(4)=0, Add (2,4)=82 Failed, w=75\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=75\"],\"Answer\":75}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)\",\"Add (5,7)\",\"Add (2,6)\",\"Add (3,7)\",\"Add (0,2)\",\"Add (1,2)\",\"Add (4,6)\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5, w=5\",\"Add (5,7)=8, w=13\",\"Add (2,6)=10, w=23\",\"Add (3,7)=11, w=34\",\"Add (0,2)=13, w=47\",\"Add (1,2)=13, w=60\",\"Add (4,6)=52, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,6)=5 Succeeded, w=5\",\"Add (5,7)=8 Succeeded, w=13\",\"Add (2,6)=10 Succeeded, w=23\",\"Add (3,7)=11 Succeeded, w=34\",\"Add (0,2)=13 Succeeded, w=47\",\"Add (1,2)=13 Succeeded, w=60\",\"Add (2,3)=29 Failed, w=60\",\"Add (3,5)=42 Failed, w=60\",\"Add (1,6)=44 Failed, w=60\",\"Add (2,5)=45 Failed, w=60\",\"Add (5,6)=48 Failed, w=60\",\"Add (1,5)=50 Failed, w=60\",\"Add (4,6)=52 Succeeded, w=112\",\"Add (0,3)=62 Failed, w=112\",\"Add (0,7)=63 Failed, w=112\",\"Add (1,4)=66 Failed, w=112\",\"Add (2,7)=81 Failed, w=112\",\"Add (2,4)=83 Failed, w=112\",\"Add (6,7)=86 Failed, w=112\",\"Add (0,4)=87 Failed, w=112\",\"Add (0,1)=88 Failed, w=112\",\"Add (4,7)=94 Failed, w=112\",\"Add (1,7)=95 Failed, w=112\",\"Add (1,3)=97 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(5,7)=8,(2,6)=10,(3,7)=11,(0,2)=13,(1,2)=13,(2,3)=29,(3,5)=42,(1,6)=44,(2,5)=45,(5,6)=48,(1,5)=50,(4,6)=52,(0,3)=62,(0,7)=63,(1,4)=66,(2,7)=81,(2,4)=83,(6,7)=86,(0,4)=87,(0,1)=88,(4,7)=94,(1,7)=95,(1,3)=97]\",\"Process\":[\"Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=13\",\"Find(2)=2, Find(6)=3, Add (2,6)=10 Succeeded, w=23\",\"Find(3)=3, Find(7)=5, Add (3,7)=11 Succeeded, w=34\",\"Find(0)=0, Find(2)=3, Add (0,2)=13 Succeeded, w=47\",\"Find(1)=1, Find(2)=3, Add (1,2)=13 Succeeded, w=60\",\"Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=60\",\"Find(3)=3, Find(5)=3, Add (3,5)=42 Failed, w=60\",\"Find(1)=3, Find(6)=3, Add (1,6)=44 Failed, w=60\",\"Find(2)=3, Find(5)=3, Add (2,5)=45 Failed, w=60\",\"Find(5)=3, Find(6)=3, Add (5,6)=48 Failed, w=60\",\"Find(1)=3, Find(5)=3, Add (1,5)=50 Failed, w=60\",\"Find(4)=4, Find(6)=3, Add (4,6)=52 Succeeded, w=112\",\"Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=112\",\"Find(0)=3, Find(7)=3, Add (0,7)=63 Failed, w=112\",\"Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=112\",\"Find(2)=3, Find(7)=3, Add (2,7)=81 Failed, w=112\",\"Find(2)=3, Find(4)=3, Add (2,4)=83 Failed, w=112\",\"Find(6)=3, Find(7)=3, Add (6,7)=86 Failed, w=112\",\"Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=112\",\"Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=112\",\"Find(4)=3, Find(7)=3, Add (4,7)=94 Failed, w=112\",\"Find(1)=3, Find(7)=3, Add (1,7)=95 Failed, w=112\",\"Find(1)=3, Find(3)=3, Add (1,3)=97 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,88],[0,2,13],[0,3,62],[0,4,87],[0,7,63],[1,2,13],[1,3,97],[1,4,66],[1,5,50],[1,6,44],[1,7,95],[2,3,29],[2,4,83],[2,5,45],[2,6,10],[2,7,81],[3,5,42],[3,6,5],[3,7,11],[4,6,52],[4,7,94],[5,6,48],[5,7,8],[6,7,86]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,6)=5,(5,7)=8,(2,6)=10,(3,7)=11,(0,2)=13,(1,2)=13,(2,3)=29,(3,5)=42,(1,6)=44,(2,5)=45,(5,6)=48,(1,5)=50,(4,6)=52,(0,3)=62,(0,7)=63,(1,4)=66,(2,7)=81,(2,4)=83,(6,7)=86,(0,4)=87,(0,1)=88,(4,7)=94,(1,7)=95,(1,3)=97]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 7}, Find(3)=3, Find(6)=6, Add (3,6)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(5)=5, Find(7)=7, Add (5,7)=8 Succeeded, w=13\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 5, 6: 3, 7: 5}, Find(2)=2, Find(6)=3, Add (2,6)=10 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(3)=3, Find(7)=5, Add (3,7)=11 Succeeded, w=34\",\"Parent: {0: 3, 1: 1, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(0)=0, Find(2)=3, Add (0,2)=13 Succeeded, w=47\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(1)=1, Find(2)=3, Add (1,2)=13 Succeeded, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(2)=3, Find(3)=3, Add (2,3)=29 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(3)=3, Find(5)=3, Add (3,5)=42 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(1)=3, Find(6)=3, Add (1,6)=44 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(2)=3, Find(5)=3, Add (2,5)=45 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(5)=3, Find(6)=3, Add (5,6)=48 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 3, 6: 3, 7: 5}, Find(1)=3, Find(5)=3, Add (1,5)=50 Failed, w=60\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(4)=4, Find(6)=3, Add (4,6)=52 Succeeded, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 5}, Find(0)=3, Find(3)=3, Add (0,3)=62 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(7)=3, Add (0,7)=63 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(4)=3, Add (1,4)=66 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(7)=3, Add (2,7)=81 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(2)=3, Find(4)=3, Add (2,4)=83 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(6)=3, Find(7)=3, Add (6,7)=86 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(4)=3, Add (0,4)=87 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(0)=3, Find(1)=3, Add (0,1)=88 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(4)=3, Find(7)=3, Add (4,7)=94 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(7)=3, Add (1,7)=95 Failed, w=112\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3, 7: 3}, Find(1)=3, Find(3)=3, Add (1,3)=97 Failed, w=112\"],\"Answer\":112}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (2,4)\",\"Add (0,5)\",\"Add (0,6)\",\"Add (4,7)\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2, w=2\",\"Add (1,2)=4, w=6\",\"Add (3,6)=15, w=21\",\"Add (2,4)=16, w=37\",\"Add (0,5)=21, w=58\",\"Add (0,6)=28, w=86\",\"Add (4,7)=35, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (4,6)=2 Succeeded, w=2\",\"Add (1,2)=4 Succeeded, w=6\",\"Add (3,6)=15 Succeeded, w=21\",\"Add (2,4)=16 Succeeded, w=37\",\"Add (0,5)=21 Succeeded, w=58\",\"Add (1,6)=25 Failed, w=58\",\"Add (0,6)=28 Succeeded, w=86\",\"Add (5,6)=30 Failed, w=86\",\"Add (3,4)=31 Failed, w=86\",\"Add (2,6)=34 Failed, w=86\",\"Add (4,7)=35 Succeeded, w=121\",\"Add (1,3)=40 Failed, w=121\",\"Add (4,5)=40 Failed, w=121\",\"Add (2,7)=44 Failed, w=121\",\"Add (5,7)=51 Failed, w=121\",\"Add (3,5)=56 Failed, w=121\",\"Add (0,3)=62 Failed, w=121\",\"Add (1,4)=64 Failed, w=121\",\"Add (0,4)=70 Failed, w=121\",\"Add (2,5)=70 Failed, w=121\",\"Add (2,3)=72 Failed, w=121\",\"Add (0,1)=75 Failed, w=121\",\"Add (6,7)=79 Failed, w=121\",\"Add (1,5)=80 Failed, w=121\",\"Add (1,7)=84 Failed, w=121\",\"Add (0,7)=88 Failed, w=121\",\"Add (3,7)=90 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(1,2)=4,(3,6)=15,(2,4)=16,(0,5)=21,(1,6)=25,(0,6)=28,(5,6)=30,(3,4)=31,(2,6)=34,(4,7)=35,(1,3)=40,(4,5)=40,(2,7)=44,(5,7)=51,(3,5)=56,(0,3)=62,(1,4)=64,(0,4)=70,(2,5)=70,(2,3)=72,(0,1)=75,(6,7)=79,(1,5)=80,(1,7)=84,(0,7)=88,(3,7)=90]\",\"Process\":[\"Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=6\",\"Find(3)=3, Find(6)=4, Add (3,6)=15 Succeeded, w=21\",\"Find(2)=1, Find(4)=4, Add (2,4)=16 Succeeded, w=37\",\"Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=58\",\"Find(1)=1, Find(6)=1, Add (1,6)=25 Failed, w=58\",\"Find(0)=0, Find(6)=1, Add (0,6)=28 Succeeded, w=86\",\"Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=86\",\"Find(3)=1, Find(4)=1, Add (3,4)=31 Failed, w=86\",\"Find(2)=1, Find(6)=1, Add (2,6)=34 Failed, w=86\",\"Find(4)=1, Find(7)=7, Add (4,7)=35 Succeeded, w=121\",\"Find(1)=1, Find(3)=1, Add (1,3)=40 Failed, w=121\",\"Find(4)=1, Find(5)=1, Add (4,5)=40 Failed, w=121\",\"Find(2)=1, Find(7)=1, Add (2,7)=44 Failed, w=121\",\"Find(5)=1, Find(7)=1, Add (5,7)=51 Failed, w=121\",\"Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=121\",\"Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=121\",\"Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=121\",\"Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=121\",\"Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=121\",\"Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=121\",\"Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=121\",\"Find(6)=1, Find(7)=1, Add (6,7)=79 Failed, w=121\",\"Find(1)=1, Find(5)=1, Add (1,5)=80 Failed, w=121\",\"Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=121\",\"Find(0)=1, Find(7)=1, Add (0,7)=88 Failed, w=121\",\"Find(3)=1, Find(7)=1, Add (3,7)=90 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,75],[0,3,62],[0,4,70],[0,5,21],[0,6,28],[0,7,88],[1,2,4],[1,3,40],[1,4,64],[1,5,80],[1,6,25],[1,7,84],[2,3,72],[2,4,16],[2,5,70],[2,6,34],[2,7,44],[3,4,31],[3,5,56],[3,6,15],[3,7,90],[4,5,40],[4,6,2],[4,7,35],[5,6,30],[5,7,51],[6,7,79]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(4,6)=2,(1,2)=4,(3,6)=15,(2,4)=16,(0,5)=21,(1,6)=25,(0,6)=28,(5,6)=30,(3,4)=31,(2,6)=34,(4,7)=35,(1,3)=40,(4,5)=40,(2,7)=44,(5,7)=51,(3,5)=56,(0,3)=62,(1,4)=64,(0,4)=70,(2,5)=70,(2,3)=72,(0,1)=75,(6,7)=79,(1,5)=80,(1,7)=84,(0,7)=88,(3,7)=90]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(4)=4, Find(6)=6, Add (4,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 4, 7: 7}, Find(1)=1, Find(2)=2, Add (1,2)=4 Succeeded, w=6\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 4, 5: 5, 6: 4, 7: 7}, Find(3)=3, Find(6)=4, Add (3,6)=15 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 1, 5: 5, 6: 4, 7: 7}, Find(2)=1, Find(4)=4, Add (2,4)=16 Succeeded, w=37\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 1, 5: 0, 6: 4, 7: 7}, Find(0)=0, Find(5)=5, Add (0,5)=21 Succeeded, w=58\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 4, 4: 1, 5: 0, 6: 1, 7: 7}, Find(1)=1, Find(6)=1, Add (1,6)=25 Failed, w=58\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 0, 6: 1, 7: 7}, Find(0)=0, Find(6)=1, Add (0,6)=28 Succeeded, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 4, 4: 1, 5: 1, 6: 1, 7: 7}, Find(5)=1, Find(6)=1, Add (5,6)=30 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(3)=1, Find(4)=1, Add (3,4)=31 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 7}, Find(2)=1, Find(6)=1, Add (2,6)=34 Failed, w=86\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(7)=7, Add (4,7)=35 Succeeded, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(3)=1, Add (1,3)=40 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=40 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(7)=1, Add (2,7)=44 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=51 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(5)=1, Add (3,5)=56 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=62 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=64 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(4)=1, Add (0,4)=70 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=70 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=72 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=75 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=79 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=80 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(7)=1, Add (1,7)=84 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=88 Failed, w=121\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=90 Failed, w=121\"],\"Answer\":121}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":220}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,3)\",\"Add (1,3)\",\"Add (0,4)\"],\"Answer\":220}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9, w=9\",\"Add (2,3)=38, w=47\",\"Add (1,3)=81, w=128\",\"Add (0,4)=92, w=220\"],\"Answer\":220}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=9 Succeeded, w=9\",\"Add (2,3)=38 Succeeded, w=47\",\"Add (1,3)=81 Succeeded, w=128\",\"Add (0,4)=92 Succeeded, w=220\",\"Add (1,2)=94 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(2,3)=38,(1,3)=81,(0,4)=92,(1,2)=94]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=47\",\"Find(1)=0, Find(3)=2, Add (1,3)=81 Succeeded, w=128\",\"Find(0)=0, Find(4)=4, Add (0,4)=92 Succeeded, w=220\",\"Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,9],[0,4,92],[1,2,94],[1,3,81],[2,3,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=9,(2,3)=38,(1,3)=81,(0,4)=92,(1,2)=94]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4}, Find(0)=0, Find(1)=1, Add (0,1)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=38 Succeeded, w=47\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 4}, Find(1)=0, Find(3)=2, Add (1,3)=81 Succeeded, w=128\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=92 Succeeded, w=220\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 2, 4: 0}, Find(1)=0, Find(2)=0, Add (1,2)=94 Failed, w=220\"],\"Answer\":220}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":97}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,2)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":97}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7, w=7\",\"Add (1,2)=8, w=15\",\"Add (2,3)=12, w=27\",\"Add (0,1)=70, w=97\"],\"Answer\":97}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=7 Succeeded, w=7\",\"Add (1,2)=8 Succeeded, w=15\",\"Add (2,3)=12 Succeeded, w=27\",\"Add (3,4)=24 Failed, w=27\",\"Add (0,1)=70 Succeeded, w=97\",\"Add (0,3)=78 Failed, w=97\",\"Add (1,3)=81 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(1,2)=8,(2,3)=12,(3,4)=24,(0,1)=70,(0,3)=78,(1,3)=81]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=15\",\"Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=27\",\"Find(3)=2, Find(4)=2, Add (3,4)=24 Failed, w=27\",\"Find(0)=0, Find(1)=2, Add (0,1)=70 Succeeded, w=97\",\"Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=97\",\"Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,70],[0,3,78],[1,2,8],[1,3,81],[2,3,12],[2,4,7],[3,4,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=7,(1,2)=8,(2,3)=12,(3,4)=24,(0,1)=70,(0,3)=78,(1,3)=81]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 3, 4: 2}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=15\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=3, Add (2,3)=12 Succeeded, w=27\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=24 Failed, w=27\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=70 Succeeded, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(3)=2, Add (0,3)=78 Failed, w=97\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(3)=2, Add (1,3)=81 Failed, w=97\"],\"Answer\":97}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Answer\":187}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (3,5)\",\"Add (0,5)\",\"Add (4,5)\",\"Add (1,5)\"],\"Answer\":187}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19, w=19\",\"Add (3,5)=29, w=48\",\"Add (0,5)=36, w=84\",\"Add (4,5)=38, w=122\",\"Add (1,5)=65, w=187\"],\"Answer\":187}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=19 Succeeded, w=19\",\"Add (3,5)=29 Succeeded, w=48\",\"Add (0,5)=36 Succeeded, w=84\",\"Add (4,5)=38 Succeeded, w=122\",\"Add (3,4)=42 Failed, w=122\",\"Add (2,3)=47 Failed, w=122\",\"Add (1,5)=65 Succeeded, w=187\",\"Add (0,4)=87 Failed, w=187\",\"Add (1,4)=87 Failed, w=187\",\"Add (1,2)=91 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(3,5)=29,(0,5)=36,(4,5)=38,(3,4)=42,(2,3)=47,(1,5)=65,(0,4)=87,(1,4)=87,(1,2)=91]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Find(3)=3, Find(5)=2, Add (3,5)=29 Succeeded, w=48\",\"Find(0)=0, Find(5)=2, Add (0,5)=36 Succeeded, w=84\",\"Find(4)=4, Find(5)=2, Add (4,5)=38 Succeeded, w=122\",\"Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=122\",\"Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=122\",\"Find(1)=1, Find(5)=2, Add (1,5)=65 Succeeded, w=187\",\"Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=187\",\"Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=187\",\"Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,87],[0,5,36],[1,2,91],[1,4,87],[1,5,65],[2,3,47],[2,5,19],[3,4,42],[3,5,29],[4,5,38]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=19,(3,5)=29,(0,5)=36,(4,5)=38,(3,4)=42,(2,3)=47,(1,5)=65,(0,4)=87,(1,4)=87,(1,2)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=19 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=3, Find(5)=2, Add (3,5)=29 Succeeded, w=48\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=36 Succeeded, w=84\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=38 Succeeded, w=122\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(3)=2, Find(4)=2, Add (3,4)=42 Failed, w=122\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 2, 5: 2}, Find(2)=2, Find(3)=2, Add (2,3)=47 Failed, w=122\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=1, Find(5)=2, Add (1,5)=65 Succeeded, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(0)=2, Find(4)=2, Add (0,4)=87 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=87 Failed, w=187\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(2)=2, Add (1,2)=91 Failed, w=187\"],\"Answer\":187}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,3)\",\"Add (0,2)\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35, w=35\",\"Add (0,3)=48, w=83\",\"Add (0,2)=53, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=35 Succeeded, w=35\",\"Add (0,3)=48 Succeeded, w=83\",\"Add (0,2)=53 Succeeded, w=136\",\"Add (2,3)=58 Failed, w=136\",\"Add (1,3)=91 Failed, w=136\",\"Add (0,1)=95 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(0,3)=48,(0,2)=53,(2,3)=58,(1,3)=91,(0,1)=95]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=83\",\"Find(0)=0, Find(2)=1, Add (0,2)=53 Succeeded, w=136\",\"Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=136\",\"Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=136\",\"Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,95],[0,2,53],[0,3,48],[1,2,35],[1,3,91],[2,3,58]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=35,(0,3)=48,(0,2)=53,(2,3)=58,(1,3)=91,(0,1)=95]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=35 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=48 Succeeded, w=83\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=53 Succeeded, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=58 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=91 Failed, w=136\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(1)=0, Add (0,1)=95 Failed, w=136\"],\"Answer\":136}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)\",\"Add (4,5)\",\"Add (0,3)\",\"Add (0,5)\",\"Add (0,1)\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=14, w=14\",\"Add (4,5)=17, w=31\",\"Add (0,3)=32, w=63\",\"Add (0,5)=39, w=102\",\"Add (0,1)=49, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,5)=14 Succeeded, w=14\",\"Add (4,5)=17 Succeeded, w=31\",\"Add (0,3)=32 Succeeded, w=63\",\"Add (0,5)=39 Succeeded, w=102\",\"Add (0,1)=49 Succeeded, w=151\",\"Add (1,2)=49 Failed, w=151\",\"Add (0,4)=52 Failed, w=151\",\"Add (3,5)=60 Failed, w=151\",\"Add (1,3)=65 Failed, w=151\",\"Add (1,5)=72 Failed, w=151\",\"Add (1,4)=82 Failed, w=151\",\"Add (0,2)=87 Failed, w=151\",\"Add (2,4)=91 Failed, w=151\",\"Add (3,4)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=14,(4,5)=17,(0,3)=32,(0,5)=39,(0,1)=49,(1,2)=49,(0,4)=52,(3,5)=60,(1,3)=65,(1,5)=72,(1,4)=82,(0,2)=87,(2,4)=91,(3,4)=99]\",\"Process\":[\"Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=14\",\"Find(4)=4, Find(5)=2, Add (4,5)=17 Succeeded, w=31\",\"Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=63\",\"Find(0)=0, Find(5)=2, Add (0,5)=39 Succeeded, w=102\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=151\",\"Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=151\",\"Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=151\",\"Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=151\",\"Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=151\",\"Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=151\",\"Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=151\",\"Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=151\",\"Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=151\",\"Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,49],[0,2,87],[0,3,32],[0,4,52],[0,5,39],[1,2,49],[1,3,65],[1,4,82],[1,5,72],[2,4,91],[2,5,14],[3,4,99],[3,5,60],[4,5,17]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,5)=14,(4,5)=17,(0,3)=32,(0,5)=39,(0,1)=49,(1,2)=49,(0,4)=52,(3,5)=60,(1,3)=65,(1,5)=72,(1,4)=82,(0,2)=87,(2,4)=91,(3,4)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 2}, Find(2)=2, Find(5)=5, Add (2,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 2}, Find(4)=4, Find(5)=2, Add (4,5)=17 Succeeded, w=31\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(3)=3, Add (0,3)=32 Succeeded, w=63\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(5)=2, Add (0,5)=39 Succeeded, w=102\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 2, 5: 2}, Find(1)=0, Find(2)=0, Add (1,2)=49 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2}, Find(0)=0, Find(4)=0, Add (0,4)=52 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=60 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=65 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=82 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=87 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=91 Failed, w=151\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=99 Failed, w=151\"],\"Answer\":151}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (0,3)\",\"Add (1,4)\",\"Add (1,3)\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=16, w=16\",\"Add (0,3)=23, w=39\",\"Add (1,4)=44, w=83\",\"Add (1,3)=45, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=16 Succeeded, w=16\",\"Add (0,3)=23 Succeeded, w=39\",\"Add (1,4)=44 Succeeded, w=83\",\"Add (1,3)=45 Succeeded, w=128\",\"Add (1,2)=68 Failed, w=128\",\"Add (0,4)=72 Failed, w=128\",\"Add (2,3)=86 Failed, w=128\",\"Add (0,2)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=16,(0,3)=23,(1,4)=44,(1,3)=45,(1,2)=68,(0,4)=72,(2,3)=86,(0,2)=98]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=16\",\"Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=39\",\"Find(1)=1, Find(4)=2, Add (1,4)=44 Succeeded, w=83\",\"Find(1)=2, Find(3)=0, Add (1,3)=45 Succeeded, w=128\",\"Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=128\",\"Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=128\",\"Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=128\",\"Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,98],[0,3,23],[0,4,72],[1,2,68],[1,3,45],[1,4,44],[2,3,86],[2,4,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=16,(0,3)=23,(1,4)=44,(1,3)=45,(1,2)=68,(0,4)=72,(2,3)=86,(0,2)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2}, Find(2)=2, Find(4)=4, Add (2,4)=16 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 2}, Find(0)=0, Find(3)=3, Add (0,3)=23 Succeeded, w=39\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=1, Find(4)=2, Add (1,4)=44 Succeeded, w=83\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(3)=0, Add (1,3)=45 Succeeded, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(1)=2, Find(2)=2, Add (1,2)=68 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 0, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=72 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(3)=2, Add (2,3)=86 Failed, w=128\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(2)=2, Add (0,2)=98 Failed, w=128\"],\"Answer\":128}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,1)\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5, w=5\",\"Add (1,2)=40, w=45\",\"Add (0,1)=62, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=5 Succeeded, w=5\",\"Add (1,2)=40 Succeeded, w=45\",\"Add (0,1)=62 Succeeded, w=107\",\"Add (2,3)=63 Failed, w=107\",\"Add (0,2)=86 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=40,(0,1)=62,(2,3)=63,(0,2)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=62 Succeeded, w=107\",\"Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=107\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,62],[0,2,86],[0,3,5],[1,2,40],[2,3,63]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=5,(1,2)=40,(0,1)=62,(2,3)=63,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=40 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(1)=1, Add (0,1)=62 Succeeded, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=63 Failed, w=107\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=107\"],\"Answer\":107}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (0,6)\",\"Add (2,4)\",\"Add (0,3)\",\"Add (0,1)\",\"Add (3,7)\",\"Add (5,6)\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=23, w=23\",\"Add (0,6)=25, w=48\",\"Add (2,4)=27, w=75\",\"Add (0,3)=41, w=116\",\"Add (0,1)=49, w=165\",\"Add (3,7)=56, w=221\",\"Add (5,6)=61, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=23 Succeeded, w=23\",\"Add (0,6)=25 Succeeded, w=48\",\"Add (2,4)=27 Succeeded, w=75\",\"Add (2,6)=28 Failed, w=75\",\"Add (0,3)=41 Succeeded, w=116\",\"Add (0,1)=49 Succeeded, w=165\",\"Add (0,2)=50 Failed, w=165\",\"Add (1,2)=52 Failed, w=165\",\"Add (3,7)=56 Succeeded, w=221\",\"Add (6,7)=56 Failed, w=221\",\"Add (4,7)=58 Failed, w=221\",\"Add (5,6)=61 Succeeded, w=282\",\"Add (1,3)=63 Failed, w=282\",\"Add (1,7)=64 Failed, w=282\",\"Add (5,7)=72 Failed, w=282\",\"Add (3,6)=75 Failed, w=282\",\"Add (4,5)=86 Failed, w=282\",\"Add (2,3)=91 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=23,(0,6)=25,(2,4)=27,(2,6)=28,(0,3)=41,(0,1)=49,(0,2)=50,(1,2)=52,(3,7)=56,(6,7)=56,(4,7)=58,(5,6)=61,(1,3)=63,(1,7)=64,(5,7)=72,(3,6)=75,(4,5)=86,(2,3)=91]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=23\",\"Find(0)=0, Find(6)=6, Add (0,6)=25 Succeeded, w=48\",\"Find(2)=2, Find(4)=0, Add (2,4)=27 Succeeded, w=75\",\"Find(2)=0, Find(6)=0, Add (2,6)=28 Failed, w=75\",\"Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=116\",\"Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=165\",\"Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=165\",\"Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=165\",\"Find(3)=0, Find(7)=7, Add (3,7)=56 Succeeded, w=221\",\"Find(6)=0, Find(7)=0, Add (6,7)=56 Failed, w=221\",\"Find(4)=0, Find(7)=0, Add (4,7)=58 Failed, w=221\",\"Find(5)=5, Find(6)=0, Add (5,6)=61 Succeeded, w=282\",\"Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=282\",\"Find(1)=0, Find(7)=0, Add (1,7)=64 Failed, w=282\",\"Find(5)=0, Find(7)=0, Add (5,7)=72 Failed, w=282\",\"Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=282\",\"Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=282\",\"Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,49],[0,2,50],[0,3,41],[0,4,23],[0,6,25],[1,2,52],[1,3,63],[1,7,64],[2,3,91],[2,4,27],[2,6,28],[3,6,75],[3,7,56],[4,5,86],[4,7,58],[5,6,61],[5,7,72],[6,7,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=23,(0,6)=25,(2,4)=27,(2,6)=28,(0,3)=41,(0,1)=49,(0,2)=50,(1,2)=52,(3,7)=56,(6,7)=56,(4,7)=58,(5,6)=61,(1,3)=63,(1,7)=64,(5,7)=72,(3,6)=75,(4,5)=86,(2,3)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(4)=4, Add (0,4)=23 Succeeded, w=23\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(6)=6, Add (0,6)=25 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=2, Find(4)=0, Add (2,4)=27 Succeeded, w=75\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 5, 6: 0, 7: 7}, Find(2)=0, Find(6)=0, Add (2,6)=28 Failed, w=75\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(3)=3, Add (0,3)=41 Succeeded, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(1)=1, Add (0,1)=49 Succeeded, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(0)=0, Find(2)=0, Add (0,2)=50 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 7}, Find(1)=0, Find(2)=0, Add (1,2)=52 Failed, w=165\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(3)=0, Find(7)=7, Add (3,7)=56 Succeeded, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=56 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 5, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=58 Failed, w=221\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=5, Find(6)=0, Add (5,6)=61 Succeeded, w=282\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(3)=0, Add (1,3)=63 Failed, w=282\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=64 Failed, w=282\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(7)=0, Add (5,7)=72 Failed, w=282\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(6)=0, Add (3,6)=75 Failed, w=282\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(5)=0, Add (4,5)=86 Failed, w=282\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(3)=0, Add (2,3)=91 Failed, w=282\"],\"Answer\":282}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)\",\"Add (1,3)\",\"Add (2,4)\",\"Add (1,4)\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=24, w=24\",\"Add (1,3)=45, w=69\",\"Add (2,4)=59, w=128\",\"Add (1,4)=70, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,4)=24 Succeeded, w=24\",\"Add (1,3)=45 Succeeded, w=69\",\"Add (2,4)=59 Succeeded, w=128\",\"Add (1,4)=70 Succeeded, w=198\",\"Add (1,2)=83 Failed, w=198\",\"Add (0,2)=89 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=24,(1,3)=45,(2,4)=59,(1,4)=70,(1,2)=83,(0,2)=89]\",\"Process\":[\"Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=24\",\"Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=69\",\"Find(2)=2, Find(4)=0, Add (2,4)=59 Succeeded, w=128\",\"Find(1)=1, Find(4)=0, Add (1,4)=70 Succeeded, w=198\",\"Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=198\",\"Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,2,89],[0,4,24],[1,2,83],[1,3,45],[1,4,70],[2,4,59]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,4)=24,(1,3)=45,(2,4)=59,(1,4)=70,(1,2)=83,(0,2)=89]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0}, Find(0)=0, Find(4)=4, Add (0,4)=24 Succeeded, w=24\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 0}, Find(1)=1, Find(3)=3, Add (1,3)=45 Succeeded, w=69\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0}, Find(2)=2, Find(4)=0, Add (2,4)=59 Succeeded, w=128\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0}, Find(1)=1, Find(4)=0, Add (1,4)=70 Succeeded, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(1)=1, Find(2)=1, Add (1,2)=83 Failed, w=198\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0}, Find(0)=1, Find(2)=1, Add (0,2)=89 Failed, w=198\"],\"Answer\":198}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (4,6)\",\"Add (0,5)\",\"Add (1,2)\",\"Add (3,6)\",\"Add (1,5)\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8, w=8\",\"Add (4,6)=9, w=17\",\"Add (0,5)=22, w=39\",\"Add (1,2)=34, w=73\",\"Add (3,6)=46, w=119\",\"Add (1,5)=62, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=8 Succeeded, w=8\",\"Add (4,6)=9 Succeeded, w=17\",\"Add (0,5)=22 Succeeded, w=39\",\"Add (1,2)=34 Succeeded, w=73\",\"Add (3,6)=46 Succeeded, w=119\",\"Add (2,6)=57 Failed, w=119\",\"Add (1,5)=62 Succeeded, w=181\",\"Add (0,1)=67 Failed, w=181\",\"Add (0,2)=70 Failed, w=181\",\"Add (0,6)=71 Failed, w=181\",\"Add (0,3)=76 Failed, w=181\",\"Add (1,6)=89 Failed, w=181\",\"Add (3,4)=90 Failed, w=181\",\"Add (3,5)=91 Failed, w=181\",\"Add (5,6)=91 Failed, w=181\",\"Add (2,5)=95 Failed, w=181\",\"Add (0,4)=98 Failed, w=181\",\"Add (1,4)=98 Failed, w=181\",\"Add (2,4)=98 Failed, w=181\",\"Add (4,5)=98 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(4,6)=9,(0,5)=22,(1,2)=34,(3,6)=46,(2,6)=57,(1,5)=62,(0,1)=67,(0,2)=70,(0,6)=71,(0,3)=76,(1,6)=89,(3,4)=90,(3,5)=91,(5,6)=91,(2,5)=95,(0,4)=98,(1,4)=98,(2,4)=98,(4,5)=98]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=17\",\"Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=39\",\"Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=73\",\"Find(3)=1, Find(6)=4, Add (3,6)=46 Succeeded, w=119\",\"Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=119\",\"Find(1)=1, Find(5)=0, Add (1,5)=62 Succeeded, w=181\",\"Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=181\",\"Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=181\",\"Find(0)=1, Find(6)=1, Add (0,6)=71 Failed, w=181\",\"Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=181\",\"Find(1)=1, Find(6)=1, Add (1,6)=89 Failed, w=181\",\"Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=181\",\"Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=181\",\"Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=181\",\"Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=181\",\"Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=181\",\"Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=181\",\"Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=181\",\"Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,67],[0,2,70],[0,3,76],[0,4,98],[0,5,22],[0,6,71],[1,2,34],[1,3,8],[1,4,98],[1,5,62],[1,6,89],[2,4,98],[2,5,95],[2,6,57],[3,4,90],[3,5,91],[3,6,46],[4,5,98],[4,6,9],[5,6,91]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=8,(4,6)=9,(0,5)=22,(1,2)=34,(3,6)=46,(2,6)=57,(1,5)=62,(0,1)=67,(0,2)=70,(0,6)=71,(0,3)=76,(1,6)=89,(3,4)=90,(3,5)=91,(5,6)=91,(2,5)=95,(0,4)=98,(1,4)=98,(2,4)=98,(4,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 4}, Find(4)=4, Find(6)=6, Add (4,6)=9 Succeeded, w=17\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 0, 6: 4}, Find(0)=0, Find(5)=5, Add (0,5)=22 Succeeded, w=39\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 0, 6: 4}, Find(1)=1, Find(2)=2, Add (1,2)=34 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 4}, Find(3)=1, Find(6)=4, Add (3,6)=46 Succeeded, w=119\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=57 Failed, w=119\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(5)=0, Add (1,5)=62 Succeeded, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=67 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=70 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=71 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=76 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=89 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 1}, Find(3)=1, Find(4)=1, Add (3,4)=90 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=91 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=91 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=95 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=98 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=98 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(4)=1, Add (2,4)=98 Failed, w=181\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=98 Failed, w=181\"],\"Answer\":181}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)\",\"Add (1,5)\",\"Add (0,2)\",\"Add (1,3)\",\"Add (3,6)\",\"Add (3,4)\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1, w=1\",\"Add (1,5)=7, w=8\",\"Add (0,2)=15, w=23\",\"Add (1,3)=16, w=39\",\"Add (3,6)=16, w=55\",\"Add (3,4)=17, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,4)=1 Succeeded, w=1\",\"Add (1,5)=7 Succeeded, w=8\",\"Add (0,2)=15 Succeeded, w=23\",\"Add (1,3)=16 Succeeded, w=39\",\"Add (3,6)=16 Succeeded, w=55\",\"Add (3,4)=17 Succeeded, w=72\",\"Add (4,6)=36 Failed, w=72\",\"Add (1,2)=37 Failed, w=72\",\"Add (0,6)=40 Failed, w=72\",\"Add (0,3)=43 Failed, w=72\",\"Add (2,3)=48 Failed, w=72\",\"Add (1,4)=49 Failed, w=72\",\"Add (2,6)=52 Failed, w=72\",\"Add (4,5)=56 Failed, w=72\",\"Add (1,6)=57 Failed, w=72\",\"Add (0,5)=65 Failed, w=72\",\"Add (0,1)=77 Failed, w=72\",\"Add (0,4)=79 Failed, w=72\",\"Add (3,5)=85 Failed, w=72\",\"Add (2,5)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,5)=7,(0,2)=15,(1,3)=16,(3,6)=16,(3,4)=17,(4,6)=36,(1,2)=37,(0,6)=40,(0,3)=43,(2,3)=48,(1,4)=49,(2,6)=52,(4,5)=56,(1,6)=57,(0,5)=65,(0,1)=77,(0,4)=79,(3,5)=85,(2,5)=94]\",\"Process\":[\"Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=8\",\"Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=23\",\"Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=39\",\"Find(3)=1, Find(6)=6, Add (3,6)=16 Succeeded, w=55\",\"Find(3)=1, Find(4)=2, Add (3,4)=17 Succeeded, w=72\",\"Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=72\",\"Find(1)=1, Find(2)=1, Add (1,2)=37 Failed, w=72\",\"Find(0)=1, Find(6)=1, Add (0,6)=40 Failed, w=72\",\"Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=72\",\"Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=72\",\"Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=72\",\"Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=72\",\"Find(4)=1, Find(5)=1, Add (4,5)=56 Failed, w=72\",\"Find(1)=1, Find(6)=1, Add (1,6)=57 Failed, w=72\",\"Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=72\",\"Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=72\",\"Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=72\",\"Find(3)=1, Find(5)=1, Add (3,5)=85 Failed, w=72\",\"Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,77],[0,2,15],[0,3,43],[0,4,79],[0,5,65],[0,6,40],[1,2,37],[1,3,16],[1,4,49],[1,5,7],[1,6,57],[2,3,48],[2,4,1],[2,5,94],[2,6,52],[3,4,17],[3,5,85],[3,6,16],[4,5,56],[4,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,4)=1,(1,5)=7,(0,2)=15,(1,3)=16,(3,6)=16,(3,4)=17,(4,6)=36,(1,2)=37,(0,6)=40,(0,3)=43,(2,3)=48,(1,4)=49,(2,6)=52,(4,5)=56,(1,6)=57,(0,5)=65,(0,1)=77,(0,4)=79,(3,5)=85,(2,5)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 5, 6: 6}, Find(2)=2, Find(4)=4, Add (2,4)=1 Succeeded, w=1\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=7 Succeeded, w=8\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 3, 4: 2, 5: 1, 6: 6}, Find(0)=0, Find(2)=2, Add (0,2)=15 Succeeded, w=23\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=16 Succeeded, w=39\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 1, 4: 2, 5: 1, 6: 1}, Find(3)=1, Find(6)=6, Add (3,6)=16 Succeeded, w=55\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 2, 5: 1, 6: 1}, Find(3)=1, Find(4)=2, Add (3,4)=17 Succeeded, w=72\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(6)=1, Add (4,6)=36 Failed, w=72\",\"Parent: {0: 2, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(2)=1, Add (1,2)=37 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=40 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(3)=1, Add (0,3)=43 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=48 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(4)=1, Add (1,4)=49 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=52 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=56 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=57 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=65 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=77 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(4)=1, Add (0,4)=79 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=85 Failed, w=72\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=94 Failed, w=72\"],\"Answer\":72}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)\",\"Add (3,5)\",\"Add (2,3)\",\"Add (2,6)\",\"Add (0,4)\",\"Add (4,6)\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=14, w=14\",\"Add (3,5)=15, w=29\",\"Add (2,3)=16, w=45\",\"Add (2,6)=25, w=70\",\"Add (0,4)=30, w=100\",\"Add (4,6)=41, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,5)=14 Succeeded, w=14\",\"Add (3,5)=15 Succeeded, w=29\",\"Add (2,3)=16 Succeeded, w=45\",\"Add (2,6)=25 Succeeded, w=70\",\"Add (0,4)=30 Succeeded, w=100\",\"Add (4,6)=41 Succeeded, w=141\",\"Add (1,3)=43 Failed, w=141\",\"Add (3,4)=45 Failed, w=141\",\"Add (2,5)=52 Failed, w=141\",\"Add (5,6)=54 Failed, w=141\",\"Add (0,2)=79 Failed, w=141\",\"Add (0,1)=84 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=14,(3,5)=15,(2,3)=16,(2,6)=25,(0,4)=30,(4,6)=41,(1,3)=43,(3,4)=45,(2,5)=52,(5,6)=54,(0,2)=79,(0,1)=84]\",\"Process\":[\"Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=14\",\"Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=29\",\"Find(2)=2, Find(3)=1, Add (2,3)=16 Succeeded, w=45\",\"Find(2)=1, Find(6)=6, Add (2,6)=25 Succeeded, w=70\",\"Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=100\",\"Find(4)=0, Find(6)=1, Add (4,6)=41 Succeeded, w=141\",\"Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=141\",\"Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=141\",\"Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=141\",\"Find(5)=0, Find(6)=0, Add (5,6)=54 Failed, w=141\",\"Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=141\",\"Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,2,79],[0,4,30],[1,3,43],[1,5,14],[2,3,16],[2,5,52],[2,6,25],[3,4,45],[3,5,15],[4,6,41],[5,6,54]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,5)=14,(3,5)=15,(2,3)=16,(2,6)=25,(0,4)=30,(4,6)=41,(1,3)=43,(3,4)=45,(2,5)=52,(5,6)=54,(0,2)=79,(0,1)=84]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 1, 6: 6}, Find(1)=1, Find(5)=5, Add (1,5)=14 Succeeded, w=14\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 1, 6: 6}, Find(3)=3, Find(5)=1, Add (3,5)=15 Succeeded, w=29\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 6}, Find(2)=2, Find(3)=1, Add (2,3)=16 Succeeded, w=45\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 4, 5: 1, 6: 1}, Find(2)=1, Find(6)=6, Add (2,6)=25 Succeeded, w=70\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(0)=0, Find(4)=4, Add (0,4)=30 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1}, Find(4)=0, Find(6)=1, Add (4,6)=41 Succeeded, w=141\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1}, Find(1)=0, Find(3)=0, Add (1,3)=43 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 1, 6: 1}, Find(3)=0, Find(4)=0, Add (3,4)=45 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(5)=0, Add (2,5)=52 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=54 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=79 Failed, w=141\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=84 Failed, w=141\"],\"Answer\":141}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,40],[1,2,1],[1,3,85]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,1],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,1],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,1)\",\"Add (1,3)\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,1],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1, w=1\",\"Add (0,1)=40, w=41\",\"Add (1,3)=85, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,1],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=1 Succeeded, w=1\",\"Add (0,1)=40 Succeeded, w=41\",\"Add (1,3)=85 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,1],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=40,(1,3)=85]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=41\",\"Find(1)=1, Find(3)=3, Add (1,3)=85 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,40],[1,2,1],[1,3,85]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=1,(0,1)=40,(1,3)=85]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3}, Find(1)=1, Find(2)=2, Add (1,2)=1 Succeeded, w=1\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 3}, Find(0)=0, Find(1)=1, Add (0,1)=40 Succeeded, w=41\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=85 Succeeded, w=126\"],\"Answer\":126}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0, w=0\",\"Add (2,3)=24, w=24\",\"Add (0,3)=56, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=0 Succeeded, w=0\",\"Add (2,3)=24 Succeeded, w=24\",\"Add (0,3)=56 Succeeded, w=80\",\"Add (1,2)=66 Failed, w=80\",\"Add (0,2)=99 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=24,(0,3)=56,(1,2)=66,(0,2)=99]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Find(2)=2, Find(3)=1, Add (2,3)=24 Succeeded, w=24\",\"Find(0)=0, Find(3)=1, Add (0,3)=56 Succeeded, w=80\",\"Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=80\",\"Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,99],[0,3,56],[1,2,66],[1,3,0],[2,3,24]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=0,(2,3)=24,(0,3)=56,(1,2)=66,(0,2)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1}, Find(1)=1, Find(3)=3, Add (1,3)=0 Succeeded, w=0\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1}, Find(2)=2, Find(3)=1, Add (2,3)=24 Succeeded, w=24\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=0, Find(3)=1, Add (0,3)=56 Succeeded, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(1)=1, Find(2)=1, Add (1,2)=66 Failed, w=80\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1}, Find(0)=1, Find(2)=1, Add (0,2)=99 Failed, w=80\"],\"Answer\":80}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (0,3)\",\"Add (1,3)\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8, w=8\",\"Add (0,3)=38, w=46\",\"Add (1,3)=74, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=8 Succeeded, w=8\",\"Add (0,3)=38 Succeeded, w=46\",\"Add (2,3)=39 Failed, w=46\",\"Add (1,3)=74 Succeeded, w=120\",\"Add (1,2)=76 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,3)=38,(2,3)=39,(1,3)=74,(1,2)=76]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=46\",\"Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=46\",\"Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=120\",\"Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,8],[0,3,38],[1,2,76],[1,3,74],[2,3,39]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=8,(0,3)=38,(2,3)=39,(1,3)=74,(1,2)=76]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3}, Find(0)=0, Find(2)=2, Add (0,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=38 Succeeded, w=46\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0}, Find(2)=0, Find(3)=0, Add (2,3)=39 Failed, w=46\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=1, Find(3)=0, Add (1,3)=74 Succeeded, w=120\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0}, Find(1)=0, Find(2)=0, Add (1,2)=76 Failed, w=120\"],\"Answer\":120}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,1,78],[2,3,22]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22, w=22\",\"Add (0,1)=78, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=22 Succeeded, w=22\",\"Add (0,1)=78 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(0,1)=78]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Find(0)=0, Find(1)=1, Add (0,1)=78 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,1,78],[2,3,22]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=22,(0,1)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2}, Find(2)=2, Find(3)=3, Add (2,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 2}, Find(0)=0, Find(1)=1, Add (0,1)=78 Succeeded, w=100\"],\"Answer\":100}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)\",\"Add (2,5)\",\"Add (0,5)\",\"Add (1,4)\",\"Add (1,6)\",\"Add (3,6)\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10, w=10\",\"Add (2,5)=12, w=22\",\"Add (0,5)=20, w=42\",\"Add (1,4)=28, w=70\",\"Add (1,6)=30, w=100\",\"Add (3,6)=32, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,1)=10 Succeeded, w=10\",\"Add (2,5)=12 Succeeded, w=22\",\"Add (0,5)=20 Succeeded, w=42\",\"Add (1,2)=21 Failed, w=42\",\"Add (1,4)=28 Succeeded, w=70\",\"Add (1,6)=30 Succeeded, w=100\",\"Add (3,6)=32 Succeeded, w=132\",\"Add (0,3)=61 Failed, w=132\",\"Add (1,3)=67 Failed, w=132\",\"Add (2,3)=68 Failed, w=132\",\"Add (1,5)=72 Failed, w=132\",\"Add (0,2)=73 Failed, w=132\",\"Add (3,5)=75 Failed, w=132\",\"Add (4,6)=83 Failed, w=132\",\"Add (3,4)=89 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,5)=12,(0,5)=20,(1,2)=21,(1,4)=28,(1,6)=30,(3,6)=32,(0,3)=61,(1,3)=67,(2,3)=68,(1,5)=72,(0,2)=73,(3,5)=75,(4,6)=83,(3,4)=89]\",\"Process\":[\"Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=22\",\"Find(0)=0, Find(5)=2, Add (0,5)=20 Succeeded, w=42\",\"Find(1)=0, Find(2)=0, Add (1,2)=21 Failed, w=42\",\"Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=70\",\"Find(1)=0, Find(6)=6, Add (1,6)=30 Succeeded, w=100\",\"Find(3)=3, Find(6)=0, Add (3,6)=32 Succeeded, w=132\",\"Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=132\",\"Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=132\",\"Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=132\",\"Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=132\",\"Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=132\",\"Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=132\",\"Find(4)=0, Find(6)=0, Add (4,6)=83 Failed, w=132\",\"Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,10],[0,2,73],[0,3,61],[0,5,20],[1,2,21],[1,3,67],[1,4,28],[1,5,72],[1,6,30],[2,3,68],[2,5,12],[3,4,89],[3,5,75],[3,6,32],[4,6,83]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,1)=10,(2,5)=12,(0,5)=20,(1,2)=21,(1,4)=28,(1,6)=30,(3,6)=32,(0,3)=61,(1,3)=67,(2,3)=68,(1,5)=72,(0,2)=73,(3,5)=75,(4,6)=83,(3,4)=89]\",\"Process\":[\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 5, 6: 6}, Find(0)=0, Find(1)=1, Add (0,1)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 4, 5: 2, 6: 6}, Find(2)=2, Find(5)=5, Add (2,5)=12 Succeeded, w=22\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2, 6: 6}, Find(0)=0, Find(5)=2, Add (0,5)=20 Succeeded, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 4, 5: 2, 6: 6}, Find(1)=0, Find(2)=0, Add (1,2)=21 Failed, w=42\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 6}, Find(1)=0, Find(4)=4, Add (1,4)=28 Succeeded, w=70\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 3, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(6)=6, Add (1,6)=30 Succeeded, w=100\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(3)=3, Find(6)=0, Add (3,6)=32 Succeeded, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=61 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=67 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 2, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=68 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=72 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(2)=0, Add (0,2)=73 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=75 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(6)=0, Add (4,6)=83 Failed, w=132\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=89 Failed, w=132\"],\"Answer\":132}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)\",\"Add (2,6)\",\"Add (0,7)\",\"Add (4,5)\",\"Add (1,3)\",\"Add (0,1)\",\"Add (1,6)\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4, w=4\",\"Add (2,6)=14, w=18\",\"Add (0,7)=17, w=35\",\"Add (4,5)=17, w=52\",\"Add (1,3)=18, w=70\",\"Add (0,1)=22, w=92\",\"Add (1,6)=27, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (3,4)=4 Succeeded, w=4\",\"Add (2,6)=14 Succeeded, w=18\",\"Add (0,7)=17 Succeeded, w=35\",\"Add (4,5)=17 Succeeded, w=52\",\"Add (1,3)=18 Succeeded, w=70\",\"Add (0,1)=22 Succeeded, w=92\",\"Add (1,6)=27 Succeeded, w=119\",\"Add (5,6)=30 Failed, w=119\",\"Add (0,4)=33 Failed, w=119\",\"Add (3,7)=35 Failed, w=119\",\"Add (0,3)=38 Failed, w=119\",\"Add (3,5)=38 Failed, w=119\",\"Add (0,5)=48 Failed, w=119\",\"Add (1,7)=49 Failed, w=119\",\"Add (1,2)=55 Failed, w=119\",\"Add (0,2)=66 Failed, w=119\",\"Add (2,4)=68 Failed, w=119\",\"Add (4,6)=70 Failed, w=119\",\"Add (4,7)=73 Failed, w=119\",\"Add (2,5)=76 Failed, w=119\",\"Add (0,6)=78 Failed, w=119\",\"Add (6,7)=78 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(2,6)=14,(0,7)=17,(4,5)=17,(1,3)=18,(0,1)=22,(1,6)=27,(5,6)=30,(0,4)=33,(3,7)=35,(0,3)=38,(3,5)=38,(0,5)=48,(1,7)=49,(1,2)=55,(0,2)=66,(2,4)=68,(4,6)=70,(4,7)=73,(2,5)=76,(0,6)=78,(6,7)=78]\",\"Process\":[\"Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=18\",\"Find(0)=0, Find(7)=7, Add (0,7)=17 Succeeded, w=35\",\"Find(4)=3, Find(5)=5, Add (4,5)=17 Succeeded, w=52\",\"Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=70\",\"Find(0)=0, Find(1)=3, Add (0,1)=22 Succeeded, w=92\",\"Find(1)=0, Find(6)=2, Add (1,6)=27 Succeeded, w=119\",\"Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=119\",\"Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=119\",\"Find(3)=0, Find(7)=0, Add (3,7)=35 Failed, w=119\",\"Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=119\",\"Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=119\",\"Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=119\",\"Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=119\",\"Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=119\",\"Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=119\",\"Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=119\",\"Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=119\",\"Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=119\",\"Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=119\",\"Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=119\",\"Find(6)=0, Find(7)=0, Add (6,7)=78 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,22],[0,2,66],[0,3,38],[0,4,33],[0,5,48],[0,6,78],[0,7,17],[1,2,55],[1,3,18],[1,6,27],[1,7,49],[2,4,68],[2,5,76],[2,6,14],[3,4,4],[3,5,38],[3,7,35],[4,5,17],[4,6,70],[4,7,73],[5,6,30],[6,7,78]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(3,4)=4,(2,6)=14,(0,7)=17,(4,5)=17,(1,3)=18,(0,1)=22,(1,6)=27,(5,6)=30,(0,4)=33,(3,7)=35,(0,3)=38,(3,5)=38,(0,5)=48,(1,7)=49,(1,2)=55,(0,2)=66,(2,4)=68,(4,6)=70,(4,7)=73,(2,5)=76,(0,6)=78,(6,7)=78]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 6, 7: 7}, Find(3)=3, Find(4)=4, Add (3,4)=4 Succeeded, w=4\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 7}, Find(2)=2, Find(6)=6, Add (2,6)=14 Succeeded, w=18\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 5, 6: 2, 7: 0}, Find(0)=0, Find(7)=7, Add (0,7)=17 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 0}, Find(4)=3, Find(5)=5, Add (4,5)=17 Succeeded, w=52\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 3, 4: 3, 5: 3, 6: 2, 7: 0}, Find(1)=1, Find(3)=3, Add (1,3)=18 Succeeded, w=70\",\"Parent: {0: 0, 1: 3, 2: 2, 3: 0, 4: 3, 5: 3, 6: 2, 7: 0}, Find(0)=0, Find(1)=3, Add (0,1)=22 Succeeded, w=92\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 3, 6: 2, 7: 0}, Find(1)=0, Find(6)=2, Add (1,6)=27 Succeeded, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 3, 5: 0, 6: 0, 7: 0}, Find(5)=0, Find(6)=0, Add (5,6)=30 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(4)=0, Add (0,4)=33 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(7)=0, Add (3,7)=35 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(3)=0, Add (0,3)=38 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(3)=0, Find(5)=0, Add (3,5)=38 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(5)=0, Add (0,5)=48 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(7)=0, Add (1,7)=49 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(1)=0, Find(2)=0, Add (1,2)=55 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(2)=0, Add (0,2)=66 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(4)=0, Add (2,4)=68 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(6)=0, Add (4,6)=70 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(4)=0, Find(7)=0, Add (4,7)=73 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(2)=0, Find(5)=0, Add (2,5)=76 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(0)=0, Find(6)=0, Add (0,6)=78 Failed, w=119\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0, 7: 0}, Find(6)=0, Find(7)=0, Add (6,7)=78 Failed, w=119\"],\"Answer\":119}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (3,5)\",\"Add (1,3)\",\"Add (0,4)\",\"Add (0,5)\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (3,5)=11, w=21\",\"Add (1,3)=15, w=36\",\"Add (0,4)=25, w=61\",\"Add (0,5)=55, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (3,5)=11 Succeeded, w=21\",\"Add (1,3)=15 Succeeded, w=36\",\"Add (0,4)=25 Succeeded, w=61\",\"Add (0,5)=55 Succeeded, w=116\",\"Add (2,3)=56 Failed, w=116\",\"Add (1,4)=57 Failed, w=116\",\"Add (0,1)=58 Failed, w=116\",\"Add (4,5)=66 Failed, w=116\",\"Add (1,2)=93 Failed, w=116\",\"Add (0,3)=96 Failed, w=116\",\"Add (1,5)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(3,5)=11,(1,3)=15,(0,4)=25,(0,5)=55,(2,3)=56,(1,4)=57,(0,1)=58,(4,5)=66,(1,2)=93,(0,3)=96,(1,5)=98]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=21\",\"Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=36\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=61\",\"Find(0)=0, Find(5)=3, Add (0,5)=55 Succeeded, w=116\",\"Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=116\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=116\",\"Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=116\",\"Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=116\",\"Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=116\",\"Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=116\",\"Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,58],[0,2,10],[0,3,96],[0,4,25],[0,5,55],[1,2,93],[1,3,15],[1,4,57],[1,5,98],[2,3,56],[3,5,11],[4,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(3,5)=11,(1,3)=15,(0,4)=25,(0,5)=55,(2,3)=56,(1,4)=57,(0,1)=58,(4,5)=66,(1,2)=93,(0,3)=96,(1,5)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3}, Find(3)=3, Find(5)=5, Add (3,5)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 4, 5: 3}, Find(1)=1, Find(3)=3, Add (1,3)=15 Succeeded, w=36\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 3, 4: 0, 5: 3}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=61\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(5)=3, Add (0,5)=55 Succeeded, w=116\",\"Parent: {0: 0, 1: 3, 2: 0, 3: 0, 4: 0, 5: 3}, Find(2)=0, Find(3)=0, Add (2,3)=56 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 3}, Find(0)=0, Find(1)=0, Add (0,1)=58 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(4)=0, Find(5)=0, Add (4,5)=66 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=93 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=0, Add (0,3)=96 Failed, w=116\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=98 Failed, w=116\"],\"Answer\":116}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (3,5)\",\"Add (4,5)\",\"Add (2,3)\",\"Add (0,1)\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3, w=3\",\"Add (3,5)=7, w=10\",\"Add (4,5)=15, w=25\",\"Add (2,3)=20, w=45\",\"Add (0,1)=33, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=3 Succeeded, w=3\",\"Add (3,5)=7 Succeeded, w=10\",\"Add (4,5)=15 Succeeded, w=25\",\"Add (3,4)=19 Failed, w=25\",\"Add (2,3)=20 Succeeded, w=45\",\"Add (0,1)=33 Succeeded, w=78\",\"Add (2,5)=35 Failed, w=78\",\"Add (0,4)=39 Failed, w=78\",\"Add (1,4)=40 Failed, w=78\",\"Add (1,5)=46 Failed, w=78\",\"Add (2,4)=57 Failed, w=78\",\"Add (0,5)=70 Failed, w=78\",\"Add (1,2)=84 Failed, w=78\",\"Add (0,2)=86 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(3,5)=7,(4,5)=15,(3,4)=19,(2,3)=20,(0,1)=33,(2,5)=35,(0,4)=39,(1,4)=40,(1,5)=46,(2,4)=57,(0,5)=70,(1,2)=84,(0,2)=86]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Find(3)=0, Find(5)=5, Add (3,5)=7 Succeeded, w=10\",\"Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=25\",\"Find(3)=0, Find(4)=0, Add (3,4)=19 Failed, w=25\",\"Find(2)=2, Find(3)=0, Add (2,3)=20 Succeeded, w=45\",\"Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=78\",\"Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=78\",\"Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=78\",\"Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=78\",\"Find(1)=0, Find(5)=0, Add (1,5)=46 Failed, w=78\",\"Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=78\",\"Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=78\",\"Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=78\",\"Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,1,33],[0,2,86],[0,3,3],[0,4,39],[0,5,70],[1,2,84],[1,4,40],[1,5,46],[2,3,20],[2,4,57],[2,5,35],[3,4,19],[3,5,7],[4,5,15]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=3,(3,5)=7,(4,5)=15,(3,4)=19,(2,3)=20,(0,1)=33,(2,5)=35,(0,4)=39,(1,4)=40,(1,5)=46,(2,4)=57,(0,5)=70,(1,2)=84,(0,2)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 5}, Find(0)=0, Find(3)=3, Add (0,3)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 4, 5: 0}, Find(3)=0, Find(5)=5, Add (3,5)=7 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(4)=4, Find(5)=0, Add (4,5)=15 Succeeded, w=25\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(4)=0, Add (3,4)=19 Failed, w=25\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=20 Succeeded, w=45\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(1)=1, Add (0,1)=33 Succeeded, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=35 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(4)=0, Add (0,4)=39 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=40 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(5)=0, Add (1,5)=46 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=57 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(5)=0, Add (0,5)=70 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(2)=0, Add (1,2)=84 Failed, w=78\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=86 Failed, w=78\"],\"Answer\":78}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4],"edges":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (1,3)\",\"Add (1,4)\",\"Add (0,1)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (1,3)=28, w=35\",\"Add (1,4)=35, w=70\",\"Add (0,1)=79, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (1,3)=28 Succeeded, w=35\",\"Add (1,4)=35 Succeeded, w=70\",\"Add (2,4)=53 Failed, w=70\",\"Add (0,1)=79 Succeeded, w=149\",\"Add (3,4)=87 Failed, w=149\",\"Add (0,4)=91 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,3)=28,(1,4)=35,(2,4)=53,(0,1)=79,(3,4)=87,(0,4)=91]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=35\",\"Find(1)=2, Find(4)=4, Add (1,4)=35 Succeeded, w=70\",\"Find(2)=2, Find(4)=2, Add (2,4)=53 Failed, w=70\",\"Find(0)=0, Find(1)=2, Add (0,1)=79 Succeeded, w=149\",\"Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=149\",\"Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4],\"edges\":[[0,1,79],[0,4,91],[1,3,28],[1,4,35],[2,3,7],[2,4,53],[3,4,87]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(1,3)=28,(1,4)=35,(2,4)=53,(0,1)=79,(3,4)=87,(0,4)=91]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 4}, Find(1)=1, Find(3)=2, Add (1,3)=28 Succeeded, w=35\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(1)=2, Find(4)=4, Add (1,4)=35 Succeeded, w=70\",\"Parent: {0: 0, 1: 2, 2: 2, 3: 2, 4: 2}, Find(2)=2, Find(4)=2, Add (2,4)=53 Failed, w=70\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=0, Find(1)=2, Add (0,1)=79 Succeeded, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(3)=2, Find(4)=2, Add (3,4)=87 Failed, w=149\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2}, Find(0)=2, Find(4)=2, Add (0,4)=91 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (0,4)\",\"Add (1,6)\",\"Add (0,5)\",\"Add (0,3)\",\"Add (4,6)\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12, w=12\",\"Add (0,4)=16, w=28\",\"Add (1,6)=21, w=49\",\"Add (0,5)=24, w=73\",\"Add (0,3)=25, w=98\",\"Add (4,6)=25, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=12 Succeeded, w=12\",\"Add (0,4)=16 Succeeded, w=28\",\"Add (1,6)=21 Succeeded, w=49\",\"Add (0,5)=24 Succeeded, w=73\",\"Add (0,3)=25 Succeeded, w=98\",\"Add (4,6)=25 Succeeded, w=123\",\"Add (4,5)=29 Failed, w=123\",\"Add (0,2)=32 Failed, w=123\",\"Add (2,4)=35 Failed, w=123\",\"Add (5,6)=36 Failed, w=123\",\"Add (2,6)=38 Failed, w=123\",\"Add (3,4)=47 Failed, w=123\",\"Add (0,6)=48 Failed, w=123\",\"Add (3,5)=51 Failed, w=123\",\"Add (3,6)=54 Failed, w=123\",\"Add (1,4)=56 Failed, w=123\",\"Add (1,5)=62 Failed, w=123\",\"Add (2,5)=73 Failed, w=123\",\"Add (2,3)=84 Failed, w=123\",\"Add (1,3)=86 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,4)=16,(1,6)=21,(0,5)=24,(0,3)=25,(4,6)=25,(4,5)=29,(0,2)=32,(2,4)=35,(5,6)=36,(2,6)=38,(3,4)=47,(0,6)=48,(3,5)=51,(3,6)=54,(1,4)=56,(1,5)=62,(2,5)=73,(2,3)=84,(1,3)=86]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=28\",\"Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=49\",\"Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=73\",\"Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=98\",\"Find(4)=0, Find(6)=1, Add (4,6)=25 Succeeded, w=123\",\"Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=123\",\"Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=123\",\"Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=123\",\"Find(5)=0, Find(6)=0, Add (5,6)=36 Failed, w=123\",\"Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=123\",\"Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=123\",\"Find(0)=0, Find(6)=0, Add (0,6)=48 Failed, w=123\",\"Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=123\",\"Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=123\",\"Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=123\",\"Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=123\",\"Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=123\",\"Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=123\",\"Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,2,32],[0,3,25],[0,4,16],[0,5,24],[0,6,48],[1,2,12],[1,3,86],[1,4,56],[1,5,62],[1,6,21],[2,3,84],[2,4,35],[2,5,73],[2,6,38],[3,4,47],[3,5,51],[3,6,54],[4,5,29],[4,6,25],[5,6,36]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=12,(0,4)=16,(1,6)=21,(0,5)=24,(0,3)=25,(4,6)=25,(4,5)=29,(0,2)=32,(2,4)=35,(5,6)=36,(2,6)=38,(3,4)=47,(0,6)=48,(3,5)=51,(3,6)=54,(1,4)=56,(1,5)=62,(2,5)=73,(2,3)=84,(1,3)=86]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=12 Succeeded, w=12\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 6}, Find(0)=0, Find(4)=4, Add (0,4)=16 Succeeded, w=28\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 5, 6: 1}, Find(1)=1, Find(6)=6, Add (1,6)=21 Succeeded, w=49\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(5)=5, Add (0,5)=24 Succeeded, w=73\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(3)=3, Add (0,3)=25 Succeeded, w=98\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(6)=1, Add (4,6)=25 Succeeded, w=123\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 1}, Find(4)=0, Find(5)=0, Add (4,5)=29 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(0)=0, Find(2)=0, Add (0,2)=32 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 1}, Find(2)=0, Find(4)=0, Add (2,4)=35 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(5)=0, Find(6)=0, Add (5,6)=36 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(6)=0, Add (2,6)=38 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(4)=0, Add (3,4)=47 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(0)=0, Find(6)=0, Add (0,6)=48 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(5)=0, Add (3,5)=51 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=54 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(4)=0, Add (1,4)=56 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(5)=0, Add (1,5)=62 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(5)=0, Add (2,5)=73 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(2)=0, Find(3)=0, Add (2,3)=84 Failed, w=123\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(3)=0, Add (1,3)=86 Failed, w=123\"],\"Answer\":123}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6,7],"edges":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)\",\"Add (1,7)\",\"Add (3,5)\",\"Add (5,6)\",\"Add (0,4)\",\"Add (1,3)\",\"Add (2,7)\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10, w=10\",\"Add (1,7)=11, w=21\",\"Add (3,5)=14, w=35\",\"Add (5,6)=22, w=57\",\"Add (0,4)=26, w=83\",\"Add (1,3)=28, w=111\",\"Add (2,7)=38, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,2)=10 Succeeded, w=10\",\"Add (1,7)=11 Succeeded, w=21\",\"Add (3,5)=14 Succeeded, w=35\",\"Add (5,6)=22 Succeeded, w=57\",\"Add (0,4)=26 Succeeded, w=83\",\"Add (1,3)=28 Succeeded, w=111\",\"Add (2,7)=38 Succeeded, w=149\",\"Add (0,7)=43 Failed, w=149\",\"Add (1,2)=45 Failed, w=149\",\"Add (5,7)=48 Failed, w=149\",\"Add (6,7)=48 Failed, w=149\",\"Add (0,6)=54 Failed, w=149\",\"Add (0,1)=55 Failed, w=149\",\"Add (0,3)=61 Failed, w=149\",\"Add (1,5)=61 Failed, w=149\",\"Add (4,6)=61 Failed, w=149\",\"Add (3,7)=64 Failed, w=149\",\"Add (3,4)=66 Failed, w=149\",\"Add (1,4)=67 Failed, w=149\",\"Add (2,3)=74 Failed, w=149\",\"Add (3,6)=79 Failed, w=149\",\"Add (1,6)=82 Failed, w=149\",\"Add (0,5)=87 Failed, w=149\",\"Add (4,5)=87 Failed, w=149\",\"Add (2,5)=88 Failed, w=149\",\"Add (2,4)=99 Failed, w=149\",\"Add (2,6)=99 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,7)=11,(3,5)=14,(5,6)=22,(0,4)=26,(1,3)=28,(2,7)=38,(0,7)=43,(1,2)=45,(5,7)=48,(6,7)=48,(0,6)=54,(0,1)=55,(0,3)=61,(1,5)=61,(4,6)=61,(3,7)=64,(3,4)=66,(1,4)=67,(2,3)=74,(3,6)=79,(1,6)=82,(0,5)=87,(4,5)=87,(2,5)=88,(2,4)=99,(2,6)=99]\",\"Process\":[\"Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=21\",\"Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=35\",\"Find(5)=3, Find(6)=6, Add (5,6)=22 Succeeded, w=57\",\"Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=83\",\"Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=111\",\"Find(2)=0, Find(7)=1, Add (2,7)=38 Succeeded, w=149\",\"Find(0)=1, Find(7)=1, Add (0,7)=43 Failed, w=149\",\"Find(1)=1, Find(2)=1, Add (1,2)=45 Failed, w=149\",\"Find(5)=1, Find(7)=1, Add (5,7)=48 Failed, w=149\",\"Find(6)=1, Find(7)=1, Add (6,7)=48 Failed, w=149\",\"Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=149\",\"Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=149\",\"Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=149\",\"Find(1)=1, Find(5)=1, Add (1,5)=61 Failed, w=149\",\"Find(4)=1, Find(6)=1, Add (4,6)=61 Failed, w=149\",\"Find(3)=1, Find(7)=1, Add (3,7)=64 Failed, w=149\",\"Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=149\",\"Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=149\",\"Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=149\",\"Find(3)=1, Find(6)=1, Add (3,6)=79 Failed, w=149\",\"Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=149\",\"Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=149\",\"Find(4)=1, Find(5)=1, Add (4,5)=87 Failed, w=149\",\"Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=149\",\"Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=149\",\"Find(2)=1, Find(6)=1, Add (2,6)=99 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6,7],\"edges\":[[0,1,55],[0,2,10],[0,3,61],[0,4,26],[0,5,87],[0,6,54],[0,7,43],[1,2,45],[1,3,28],[1,4,67],[1,5,61],[1,6,82],[1,7,11],[2,3,74],[2,4,99],[2,5,88],[2,6,99],[2,7,38],[3,4,66],[3,5,14],[3,6,79],[3,7,64],[4,5,87],[4,6,61],[5,6,22],[5,7,48],[6,7,48]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,2)=10,(1,7)=11,(3,5)=14,(5,6)=22,(0,4)=26,(1,3)=28,(2,7)=38,(0,7)=43,(1,2)=45,(5,7)=48,(6,7)=48,(0,6)=54,(0,1)=55,(0,3)=61,(1,5)=61,(4,6)=61,(3,7)=64,(3,4)=66,(1,4)=67,(2,3)=74,(3,6)=79,(1,6)=82,(0,5)=87,(4,5)=87,(2,5)=88,(2,4)=99,(2,6)=99]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 7}, Find(0)=0, Find(2)=2, Add (0,2)=10 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 6, 7: 1}, Find(1)=1, Find(7)=7, Add (1,7)=11 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 6, 7: 1}, Find(3)=3, Find(5)=5, Add (3,5)=14 Succeeded, w=35\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 3, 6: 3, 7: 1}, Find(5)=3, Find(6)=6, Add (5,6)=22 Succeeded, w=57\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 0, 5: 3, 6: 3, 7: 1}, Find(0)=0, Find(4)=4, Add (0,4)=26 Succeeded, w=83\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 1, 4: 0, 5: 3, 6: 3, 7: 1}, Find(1)=1, Find(3)=3, Add (1,3)=28 Succeeded, w=111\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 3, 6: 3, 7: 1}, Find(2)=0, Find(7)=1, Add (2,7)=38 Succeeded, w=149\",\"Parent: {0: 1, 1: 1, 2: 0, 3: 1, 4: 0, 5: 3, 6: 3, 7: 1}, Find(0)=1, Find(7)=1, Add (0,7)=43 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 3, 6: 3, 7: 1}, Find(1)=1, Find(2)=1, Add (1,2)=45 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 3, 7: 1}, Find(5)=1, Find(7)=1, Add (5,7)=48 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(6)=1, Find(7)=1, Add (6,7)=48 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(6)=1, Add (0,6)=54 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(1)=1, Add (0,1)=55 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(3)=1, Add (0,3)=61 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 0, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(5)=1, Add (1,5)=61 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(6)=1, Add (4,6)=61 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(7)=1, Add (3,7)=64 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(4)=1, Add (3,4)=66 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(4)=1, Add (1,4)=67 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(3)=1, Add (2,3)=74 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(3)=1, Find(6)=1, Add (3,6)=79 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(1)=1, Find(6)=1, Add (1,6)=82 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(0)=1, Find(5)=1, Add (0,5)=87 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(4)=1, Find(5)=1, Add (4,5)=87 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(5)=1, Add (2,5)=88 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(4)=1, Add (2,4)=99 Failed, w=149\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1, 7: 1}, Find(2)=1, Find(6)=1, Add (2,6)=99 Failed, w=149\"],\"Answer\":149}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)\",\"Add (0,4)\",\"Add (1,5)\",\"Add (0,3)\",\"Add (2,3)\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2, w=2\",\"Add (0,4)=25, w=27\",\"Add (1,5)=28, w=55\",\"Add (0,3)=46, w=101\",\"Add (2,3)=63, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,5)=2 Succeeded, w=2\",\"Add (0,4)=25 Succeeded, w=27\",\"Add (1,5)=28 Succeeded, w=55\",\"Add (0,3)=46 Succeeded, w=101\",\"Add (1,4)=57 Failed, w=101\",\"Add (2,3)=63 Succeeded, w=164\",\"Add (2,5)=65 Failed, w=164\",\"Add (3,5)=66 Failed, w=164\",\"Add (1,3)=68 Failed, w=164\",\"Add (2,4)=72 Failed, w=164\",\"Add (0,2)=75 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,4)=25,(1,5)=28,(0,3)=46,(1,4)=57,(2,3)=63,(2,5)=65,(3,5)=66,(1,3)=68,(2,4)=72,(0,2)=75]\",\"Process\":[\"Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=27\",\"Find(1)=1, Find(5)=0, Add (1,5)=28 Succeeded, w=55\",\"Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=101\",\"Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=101\",\"Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=164\",\"Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=164\",\"Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=164\",\"Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=164\",\"Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=164\",\"Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,75],[0,3,46],[0,4,25],[0,5,2],[1,3,68],[1,4,57],[1,5,28],[2,3,63],[2,4,72],[2,5,65],[3,5,66]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,5)=2,(0,4)=25,(1,5)=28,(0,3)=46,(1,4)=57,(2,3)=63,(2,5)=65,(3,5)=66,(1,3)=68,(2,4)=72,(0,2)=75]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 0}, Find(0)=0, Find(5)=5, Add (0,5)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 0, 5: 0}, Find(0)=0, Find(4)=4, Add (0,4)=25 Succeeded, w=27\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 3, 4: 0, 5: 0}, Find(1)=1, Find(5)=0, Add (1,5)=28 Succeeded, w=55\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(3)=3, Add (0,3)=46 Succeeded, w=101\",\"Parent: {0: 0, 1: 0, 2: 2, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(4)=0, Add (1,4)=57 Failed, w=101\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=2, Find(3)=0, Add (2,3)=63 Succeeded, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(5)=0, Add (2,5)=65 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(3)=0, Find(5)=0, Add (3,5)=66 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(1)=0, Find(3)=0, Add (1,3)=68 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(2)=0, Find(4)=0, Add (2,4)=72 Failed, w=164\",\"Parent: {0: 0, 1: 0, 2: 0, 3: 0, 4: 0, 5: 0}, Find(0)=0, Find(2)=0, Add (0,2)=75 Failed, w=164\"],\"Answer\":164}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)\",\"Add (4,5)\",\"Add (0,4)\",\"Add (2,3)\",\"Add (0,3)\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3, w=3\",\"Add (4,5)=18, w=21\",\"Add (0,4)=27, w=48\",\"Add (2,3)=37, w=85\",\"Add (0,3)=57, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,4)=3 Succeeded, w=3\",\"Add (4,5)=18 Succeeded, w=21\",\"Add (0,4)=27 Succeeded, w=48\",\"Add (2,3)=37 Succeeded, w=85\",\"Add (0,3)=57 Succeeded, w=142\",\"Add (2,4)=72 Failed, w=142\",\"Add (3,5)=77 Failed, w=142\",\"Add (0,2)=79 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(4,5)=18,(0,4)=27,(2,3)=37,(0,3)=57,(2,4)=72,(3,5)=77,(0,2)=79]\",\"Process\":[\"Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Find(4)=1, Find(5)=5, Add (4,5)=18 Succeeded, w=21\",\"Find(0)=0, Find(4)=1, Add (0,4)=27 Succeeded, w=48\",\"Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=85\",\"Find(0)=1, Find(3)=2, Add (0,3)=57 Succeeded, w=142\",\"Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=142\",\"Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=142\",\"Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,2,79],[0,3,57],[0,4,27],[1,4,3],[2,3,37],[2,4,72],[3,5,77],[4,5,18]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,4)=3,(4,5)=18,(0,4)=27,(2,3)=37,(0,3)=57,(2,4)=72,(3,5)=77,(0,2)=79]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 5}, Find(1)=1, Find(4)=4, Add (1,4)=3 Succeeded, w=3\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(4)=1, Find(5)=5, Add (4,5)=18 Succeeded, w=21\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 3, 4: 1, 5: 1}, Find(0)=0, Find(4)=1, Add (0,4)=27 Succeeded, w=48\",\"Parent: {0: 1, 1: 1, 2: 2, 3: 2, 4: 1, 5: 1}, Find(2)=2, Find(3)=3, Add (2,3)=37 Succeeded, w=85\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(0)=1, Find(3)=2, Add (0,3)=57 Succeeded, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 2, 4: 1, 5: 1}, Find(2)=1, Find(4)=1, Add (2,4)=72 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(3)=1, Find(5)=1, Add (3,5)=77 Failed, w=142\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1}, Find(0)=1, Find(2)=1, Add (0,2)=79 Failed, w=142\"],\"Answer\":142}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)\",\"Add (3,4)\",\"Add (2,4)\",\"Add (4,6)\",\"Add (0,3)\",\"Add (1,5)\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8, w=8\",\"Add (3,4)=8, w=16\",\"Add (2,4)=18, w=34\",\"Add (4,6)=21, w=55\",\"Add (0,3)=28, w=83\",\"Add (1,5)=51, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,2)=8 Succeeded, w=8\",\"Add (3,4)=8 Succeeded, w=16\",\"Add (2,4)=18 Succeeded, w=34\",\"Add (1,4)=21 Failed, w=34\",\"Add (4,6)=21 Succeeded, w=55\",\"Add (0,3)=28 Succeeded, w=83\",\"Add (0,6)=41 Failed, w=83\",\"Add (2,6)=45 Failed, w=83\",\"Add (1,5)=51 Succeeded, w=134\",\"Add (5,6)=56 Failed, w=134\",\"Add (0,5)=63 Failed, w=134\",\"Add (0,2)=67 Failed, w=134\",\"Add (1,6)=73 Failed, w=134\",\"Add (1,3)=76 Failed, w=134\",\"Add (3,6)=80 Failed, w=134\",\"Add (3,5)=82 Failed, w=134\",\"Add (4,5)=83 Failed, w=134\",\"Add (2,3)=86 Failed, w=134\",\"Add (0,1)=91 Failed, w=134\",\"Add (2,5)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(3,4)=8,(2,4)=18,(1,4)=21,(4,6)=21,(0,3)=28,(0,6)=41,(2,6)=45,(1,5)=51,(5,6)=56,(0,5)=63,(0,2)=67,(1,6)=73,(1,3)=76,(3,6)=80,(3,5)=82,(4,5)=83,(2,3)=86,(0,1)=91,(2,5)=96]\",\"Process\":[\"Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=16\",\"Find(2)=1, Find(4)=3, Add (2,4)=18 Succeeded, w=34\",\"Find(1)=1, Find(4)=1, Add (1,4)=21 Failed, w=34\",\"Find(4)=1, Find(6)=6, Add (4,6)=21 Succeeded, w=55\",\"Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=83\",\"Find(0)=1, Find(6)=1, Add (0,6)=41 Failed, w=83\",\"Find(2)=1, Find(6)=1, Add (2,6)=45 Failed, w=83\",\"Find(1)=1, Find(5)=5, Add (1,5)=51 Succeeded, w=134\",\"Find(5)=1, Find(6)=1, Add (5,6)=56 Failed, w=134\",\"Find(0)=1, Find(5)=1, Add (0,5)=63 Failed, w=134\",\"Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=134\",\"Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=134\",\"Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=134\",\"Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=134\",\"Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=134\",\"Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=134\",\"Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=134\",\"Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=134\",\"Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,91],[0,2,67],[0,3,28],[0,5,63],[0,6,41],[1,2,8],[1,3,76],[1,4,21],[1,5,51],[1,6,73],[2,3,86],[2,4,18],[2,5,96],[2,6,45],[3,4,8],[3,5,82],[3,6,80],[4,5,83],[4,6,21],[5,6,56]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,2)=8,(3,4)=8,(2,4)=18,(1,4)=21,(4,6)=21,(0,3)=28,(0,6)=41,(2,6)=45,(1,5)=51,(5,6)=56,(0,5)=63,(0,2)=67,(1,6)=73,(1,3)=76,(3,6)=80,(3,5)=82,(4,5)=83,(2,3)=86,(0,1)=91,(2,5)=96]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(2)=2, Add (1,2)=8 Succeeded, w=8\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 3, 4: 3, 5: 5, 6: 6}, Find(3)=3, Find(4)=4, Add (3,4)=8 Succeeded, w=16\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 3, 5: 5, 6: 6}, Find(2)=1, Find(4)=3, Add (2,4)=18 Succeeded, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=1, Add (1,4)=21 Failed, w=34\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(4)=1, Find(6)=6, Add (4,6)=21 Succeeded, w=55\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=0, Find(3)=1, Add (0,3)=28 Succeeded, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(0)=1, Find(6)=1, Add (0,6)=41 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 1}, Find(2)=1, Find(6)=1, Add (2,6)=45 Failed, w=83\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(5)=5, Add (1,5)=51 Succeeded, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(5)=1, Find(6)=1, Add (5,6)=56 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(5)=1, Add (0,5)=63 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(2)=1, Add (0,2)=67 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(6)=1, Add (1,6)=73 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(1)=1, Find(3)=1, Add (1,3)=76 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(6)=1, Add (3,6)=80 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(3)=1, Find(5)=1, Add (3,5)=82 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(4)=1, Find(5)=1, Add (4,5)=83 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(3)=1, Add (2,3)=86 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(0)=1, Find(1)=1, Add (0,1)=91 Failed, w=134\",\"Parent: {0: 1, 1: 1, 2: 1, 3: 1, 4: 1, 5: 1, 6: 1}, Find(2)=1, Find(5)=1, Add (2,5)=96 Failed, w=134\"],\"Answer\":134}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (0,2)\",\"Add (2,5)\",\"Add (3,4)\",\"Add (4,6)\",\"Add (1,2)\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9, w=9\",\"Add (0,2)=12, w=21\",\"Add (2,5)=12, w=33\",\"Add (3,4)=16, w=49\",\"Add (4,6)=16, w=65\",\"Add (1,2)=17, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=9 Succeeded, w=9\",\"Add (0,2)=12 Succeeded, w=21\",\"Add (2,5)=12 Succeeded, w=33\",\"Add (3,4)=16 Succeeded, w=49\",\"Add (4,6)=16 Succeeded, w=65\",\"Add (1,2)=17 Succeeded, w=82\",\"Add (0,4)=18 Failed, w=82\",\"Add (1,5)=46 Failed, w=82\",\"Add (2,4)=53 Failed, w=82\",\"Add (0,5)=70 Failed, w=82\",\"Add (0,1)=75 Failed, w=82\",\"Add (1,3)=75 Failed, w=82\",\"Add (1,6)=91 Failed, w=82\",\"Add (4,5)=91 Failed, w=82\",\"Add (2,3)=98 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(0,2)=12,(2,5)=12,(3,4)=16,(4,6)=16,(1,2)=17,(0,4)=18,(1,5)=46,(2,4)=53,(0,5)=70,(0,1)=75,(1,3)=75,(1,6)=91,(4,5)=91,(2,3)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=21\",\"Find(2)=0, Find(5)=5, Add (2,5)=12 Succeeded, w=33\",\"Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=49\",\"Find(4)=3, Find(6)=0, Add (4,6)=16 Succeeded, w=65\",\"Find(1)=1, Find(2)=3, Add (1,2)=17 Succeeded, w=82\",\"Find(0)=3, Find(4)=3, Add (0,4)=18 Failed, w=82\",\"Find(1)=3, Find(5)=3, Add (1,5)=46 Failed, w=82\",\"Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=82\",\"Find(0)=3, Find(5)=3, Add (0,5)=70 Failed, w=82\",\"Find(0)=3, Find(1)=3, Add (0,1)=75 Failed, w=82\",\"Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=82\",\"Find(1)=3, Find(6)=3, Add (1,6)=91 Failed, w=82\",\"Find(4)=3, Find(5)=3, Add (4,5)=91 Failed, w=82\",\"Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,75],[0,2,12],[0,4,18],[0,5,70],[0,6,9],[1,2,17],[1,3,75],[1,5,46],[1,6,91],[2,3,98],[2,4,53],[2,5,12],[3,4,16],[4,5,91],[4,6,16]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=9,(0,2)=12,(2,5)=12,(3,4)=16,(4,6)=16,(1,2)=17,(0,4)=18,(1,5)=46,(2,4)=53,(0,5)=70,(0,1)=75,(1,3)=75,(1,6)=91,(4,5)=91,(2,3)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=9 Succeeded, w=9\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(2)=2, Add (0,2)=12 Succeeded, w=21\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 4, 5: 0, 6: 0}, Find(2)=0, Find(5)=5, Add (2,5)=12 Succeeded, w=33\",\"Parent: {0: 0, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=16 Succeeded, w=49\",\"Parent: {0: 3, 1: 1, 2: 0, 3: 3, 4: 3, 5: 0, 6: 0}, Find(4)=3, Find(6)=0, Add (4,6)=16 Succeeded, w=65\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0}, Find(1)=1, Find(2)=3, Add (1,2)=17 Succeeded, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 0, 6: 0}, Find(0)=3, Find(4)=3, Add (0,4)=18 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(1)=3, Find(5)=3, Add (1,5)=46 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(2)=3, Find(4)=3, Add (2,4)=53 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=3, Find(5)=3, Add (0,5)=70 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(0)=3, Find(1)=3, Add (0,1)=75 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 0}, Find(1)=3, Find(3)=3, Add (1,3)=75 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(1)=3, Find(6)=3, Add (1,6)=91 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(4)=3, Find(5)=3, Add (4,5)=91 Failed, w=82\",\"Parent: {0: 3, 1: 3, 2: 3, 3: 3, 4: 3, 5: 3, 6: 3}, Find(2)=3, Find(3)=3, Add (2,3)=98 Failed, w=82\"],\"Answer\":82}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3],"edges":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)\",\"Add (1,2)\",\"Add (0,2)\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22, w=22\",\"Add (1,2)=44, w=66\",\"Add (0,2)=65, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,3)=22 Succeeded, w=22\",\"Add (1,2)=44 Succeeded, w=66\",\"Add (0,2)=65 Succeeded, w=131\",\"Add (1,3)=88 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(1,2)=44,(0,2)=65,(1,3)=88]\",\"Process\":[\"Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=66\",\"Find(0)=0, Find(2)=1, Add (0,2)=65 Succeeded, w=131\",\"Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3],\"edges\":[[0,2,65],[0,3,22],[1,2,44],[1,3,88]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,3)=22,(1,2)=44,(0,2)=65,(1,3)=88]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 0}, Find(0)=0, Find(3)=3, Add (0,3)=22 Succeeded, w=22\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 0}, Find(1)=1, Find(2)=2, Add (1,2)=44 Succeeded, w=66\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(0)=0, Find(2)=1, Add (0,2)=65 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0}, Find(1)=0, Find(3)=0, Add (1,3)=88 Failed, w=131\"],\"Answer\":131}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)\",\"Add (4,5)\",\"Add (2,5)\",\"Add (4,6)\",\"Add (3,4)\",\"Add (1,6)\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2, w=2\",\"Add (4,5)=8, w=10\",\"Add (2,5)=12, w=22\",\"Add (4,6)=20, w=42\",\"Add (3,4)=28, w=70\",\"Add (1,6)=65, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (0,6)=2 Succeeded, w=2\",\"Add (4,5)=8 Succeeded, w=10\",\"Add (2,5)=12 Succeeded, w=22\",\"Add (4,6)=20 Succeeded, w=42\",\"Add (3,4)=28 Succeeded, w=70\",\"Add (2,6)=36 Failed, w=70\",\"Add (0,3)=62 Failed, w=70\",\"Add (1,6)=65 Succeeded, w=135\",\"Add (0,5)=78 Failed, w=135\",\"Add (1,4)=83 Failed, w=135\",\"Add (0,1)=84 Failed, w=135\",\"Add (1,5)=98 Failed, w=135\",\"Add (5,6)=98 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(4,5)=8,(2,5)=12,(4,6)=20,(3,4)=28,(2,6)=36,(0,3)=62,(1,6)=65,(0,5)=78,(1,4)=83,(0,1)=84,(1,5)=98,(5,6)=98]\",\"Process\":[\"Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=10\",\"Find(2)=2, Find(5)=4, Add (2,5)=12 Succeeded, w=22\",\"Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=42\",\"Find(3)=3, Find(4)=4, Add (3,4)=28 Succeeded, w=70\",\"Find(2)=4, Find(6)=4, Add (2,6)=36 Failed, w=70\",\"Find(0)=4, Find(3)=4, Add (0,3)=62 Failed, w=70\",\"Find(1)=1, Find(6)=4, Add (1,6)=65 Succeeded, w=135\",\"Find(0)=4, Find(5)=4, Add (0,5)=78 Failed, w=135\",\"Find(1)=4, Find(4)=4, Add (1,4)=83 Failed, w=135\",\"Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=135\",\"Find(1)=4, Find(5)=4, Add (1,5)=98 Failed, w=135\",\"Find(5)=4, Find(6)=4, Add (5,6)=98 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,84],[0,3,62],[0,5,78],[0,6,2],[1,4,83],[1,5,98],[1,6,65],[2,5,12],[2,6,36],[3,4,28],[4,5,8],[4,6,20],[5,6,98]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(0,6)=2,(4,5)=8,(2,5)=12,(4,6)=20,(3,4)=28,(2,6)=36,(0,3)=62,(1,6)=65,(0,5)=78,(1,4)=83,(0,1)=84,(1,5)=98,(5,6)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=2 Succeeded, w=2\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 3, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(5)=5, Add (4,5)=8 Succeeded, w=10\",\"Parent: {0: 0, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 0}, Find(2)=2, Find(5)=4, Add (2,5)=12 Succeeded, w=22\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 3, 4: 4, 5: 4, 6: 0}, Find(4)=4, Find(6)=0, Add (4,6)=20 Succeeded, w=42\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 0}, Find(3)=3, Find(4)=4, Add (3,4)=28 Succeeded, w=70\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(2)=4, Find(6)=4, Add (2,6)=36 Failed, w=70\",\"Parent: {0: 4, 1: 1, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(3)=4, Add (0,3)=62 Failed, w=70\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=1, Find(6)=4, Add (1,6)=65 Succeeded, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(5)=4, Add (0,5)=78 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(4)=4, Add (1,4)=83 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(0)=4, Find(1)=4, Add (0,1)=84 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(1)=4, Find(5)=4, Add (1,5)=98 Failed, w=135\",\"Parent: {0: 4, 1: 4, 2: 4, 3: 4, 4: 4, 5: 4, 6: 4}, Find(5)=4, Find(6)=4, Add (5,6)=98 Failed, w=135\"],\"Answer\":135}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5],"edges":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)\",\"Add (3,5)\",\"Add (0,4)\",\"Add (2,4)\",\"Add (1,2)\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7, w=7\",\"Add (3,5)=13, w=20\",\"Add (0,4)=63, w=83\",\"Add (2,4)=63, w=146\",\"Add (1,2)=66, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (2,3)=7 Succeeded, w=7\",\"Add (3,5)=13 Succeeded, w=20\",\"Add (0,4)=63 Succeeded, w=83\",\"Add (2,4)=63 Succeeded, w=146\",\"Add (0,5)=65 Failed, w=146\",\"Add (1,2)=66 Succeeded, w=212\",\"Add (2,5)=78 Failed, w=212\",\"Add (1,4)=98 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(3,5)=13,(0,4)=63,(2,4)=63,(0,5)=65,(1,2)=66,(2,5)=78,(1,4)=98]\",\"Process\":[\"Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Find(3)=2, Find(5)=5, Add (3,5)=13 Succeeded, w=20\",\"Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=83\",\"Find(2)=2, Find(4)=0, Add (2,4)=63 Succeeded, w=146\",\"Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=146\",\"Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=212\",\"Find(2)=2, Find(5)=2, Add (2,5)=78 Failed, w=212\",\"Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5],\"edges\":[[0,4,63],[0,5,65],[1,2,66],[1,4,98],[2,3,7],[2,4,63],[2,5,78],[3,5,13]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(2,3)=7,(3,5)=13,(0,4)=63,(2,4)=63,(0,5)=65,(1,2)=66,(2,5)=78,(1,4)=98]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 5}, Find(2)=2, Find(3)=3, Add (2,3)=7 Succeeded, w=7\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 4, 5: 2}, Find(3)=2, Find(5)=5, Add (3,5)=13 Succeeded, w=20\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=0, Find(4)=4, Add (0,4)=63 Succeeded, w=83\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(4)=0, Add (2,4)=63 Succeeded, w=146\",\"Parent: {0: 2, 1: 1, 2: 2, 3: 2, 4: 0, 5: 2}, Find(0)=2, Find(5)=2, Add (0,5)=65 Failed, w=146\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(1)=1, Find(2)=2, Add (1,2)=66 Succeeded, w=212\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 0, 5: 2}, Find(2)=2, Find(5)=2, Add (2,5)=78 Failed, w=212\",\"Parent: {0: 2, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2}, Find(1)=2, Find(4)=2, Add (1,4)=98 Failed, w=212\"],\"Answer\":212}",
"role": "assistant"
}
] |
{"type":"undirected","nodes":[0,1,2,3,4,5,6],"edges":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}
|
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)\",\"Add (1,4)\",\"Add (2,4)\",\"Add (0,6)\",\"Add (0,5)\",\"Add (0,2)\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5, w=5\",\"Add (1,4)=14, w=19\",\"Add (2,4)=29, w=48\",\"Add (0,6)=37, w=85\",\"Add (0,5)=46, w=131\",\"Add (0,2)=64, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Process\":[\"Add (1,3)=5 Succeeded, w=5\",\"Add (1,4)=14 Succeeded, w=19\",\"Add (2,4)=29 Succeeded, w=48\",\"Add (2,3)=36 Failed, w=48\",\"Add (0,6)=37 Succeeded, w=85\",\"Add (1,2)=43 Failed, w=85\",\"Add (0,5)=46 Succeeded, w=131\",\"Add (0,2)=64 Succeeded, w=195\",\"Add (0,3)=68 Failed, w=195\",\"Add (3,6)=86 Failed, w=195\",\"Add (0,1)=90 Failed, w=195\",\"Add (4,5)=90 Failed, w=195\",\"Add (1,6)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(1,4)=14,(2,4)=29,(2,3)=36,(0,6)=37,(1,2)=43,(0,5)=46,(0,2)=64,(0,3)=68,(3,6)=86,(0,1)=90,(4,5)=90,(1,6)=94]\",\"Process\":[\"Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=19\",\"Find(2)=2, Find(4)=1, Add (2,4)=29 Succeeded, w=48\",\"Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=48\",\"Find(0)=0, Find(6)=6, Add (0,6)=37 Succeeded, w=85\",\"Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=85\",\"Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=131\",\"Find(0)=0, Find(2)=1, Add (0,2)=64 Succeeded, w=195\",\"Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=195\",\"Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=195\",\"Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=195\",\"Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=195\",\"Find(1)=0, Find(6)=0, Add (1,6)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
[
{
"content": "Please calculate the MST of this graph:\n{\"type\":\"undirected\",\"nodes\":[0,1,2,3,4,5,6],\"edges\":[[0,1,90],[0,2,64],[0,3,68],[0,5,46],[0,6,37],[1,2,43],[1,3,5],[1,4,14],[1,6,94],[2,3,36],[2,4,29],[3,6,86],[4,5,90]]}",
"role": "user"
},
{
"content": "{\"Sorted Edges\":\"[(1,3)=5,(1,4)=14,(2,4)=29,(2,3)=36,(0,6)=37,(1,2)=43,(0,5)=46,(0,2)=64,(0,3)=68,(3,6)=86,(0,1)=90,(4,5)=90,(1,6)=94]\",\"Process\":[\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 4, 5: 5, 6: 6}, Find(1)=1, Find(3)=3, Add (1,3)=5 Succeeded, w=5\",\"Parent: {0: 0, 1: 1, 2: 2, 3: 1, 4: 1, 5: 5, 6: 6}, Find(1)=1, Find(4)=4, Add (1,4)=14 Succeeded, w=19\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(2)=2, Find(4)=1, Add (2,4)=29 Succeeded, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 6}, Find(2)=1, Find(3)=1, Add (2,3)=36 Failed, w=48\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 0}, Find(0)=0, Find(6)=6, Add (0,6)=37 Succeeded, w=85\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 5, 6: 0}, Find(1)=1, Find(2)=1, Add (1,2)=43 Failed, w=85\",\"Parent: {0: 0, 1: 1, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(5)=5, Add (0,5)=46 Succeeded, w=131\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 1, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(2)=1, Add (0,2)=64 Succeeded, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(3)=0, Add (0,3)=68 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(3)=0, Find(6)=0, Add (3,6)=86 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 1, 5: 0, 6: 0}, Find(0)=0, Find(1)=0, Add (0,1)=90 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(4)=0, Find(5)=0, Add (4,5)=90 Failed, w=195\",\"Parent: {0: 0, 1: 0, 2: 1, 3: 0, 4: 0, 5: 0, 6: 0}, Find(1)=0, Find(6)=0, Add (1,6)=94 Failed, w=195\"],\"Answer\":195}",
"role": "assistant"
}
] |
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